592 lines
19 KiB
Rust
592 lines
19 KiB
Rust
use std::mem::size_of;
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use std::num::Wrapping;
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use identities::Zero;
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use bounds::Bounded;
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/// A generic trait for converting a value to a number.
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pub trait ToPrimitive {
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/// Converts the value of `self` to an `isize`.
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#[inline]
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fn to_isize(&self) -> Option<isize> {
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self.to_i64().and_then(|x| x.to_isize())
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}
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/// Converts the value of `self` to an `i8`.
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#[inline]
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fn to_i8(&self) -> Option<i8> {
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self.to_i64().and_then(|x| x.to_i8())
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}
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/// Converts the value of `self` to an `i16`.
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#[inline]
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fn to_i16(&self) -> Option<i16> {
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self.to_i64().and_then(|x| x.to_i16())
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}
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/// Converts the value of `self` to an `i32`.
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#[inline]
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fn to_i32(&self) -> Option<i32> {
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self.to_i64().and_then(|x| x.to_i32())
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}
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/// Converts the value of `self` to an `i64`.
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fn to_i64(&self) -> Option<i64>;
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/// Converts the value of `self` to a `usize`.
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#[inline]
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fn to_usize(&self) -> Option<usize> {
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self.to_u64().and_then(|x| x.to_usize())
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}
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/// Converts the value of `self` to an `u8`.
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#[inline]
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fn to_u8(&self) -> Option<u8> {
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self.to_u64().and_then(|x| x.to_u8())
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}
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/// Converts the value of `self` to an `u16`.
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#[inline]
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fn to_u16(&self) -> Option<u16> {
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self.to_u64().and_then(|x| x.to_u16())
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}
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/// Converts the value of `self` to an `u32`.
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#[inline]
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fn to_u32(&self) -> Option<u32> {
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self.to_u64().and_then(|x| x.to_u32())
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}
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/// Converts the value of `self` to an `u64`.
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#[inline]
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fn to_u64(&self) -> Option<u64>;
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/// Converts the value of `self` to an `f32`.
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#[inline]
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fn to_f32(&self) -> Option<f32> {
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self.to_f64().and_then(|x| x.to_f32())
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}
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/// Converts the value of `self` to an `f64`.
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#[inline]
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fn to_f64(&self) -> Option<f64> {
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self.to_i64().and_then(|x| x.to_f64())
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}
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}
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macro_rules! impl_to_primitive_int_to_int {
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($SrcT:ty, $DstT:ty, $slf:expr) => (
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{
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if size_of::<$SrcT>() <= size_of::<$DstT>() {
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Some($slf as $DstT)
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} else {
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let n = $slf as i64;
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let min_value: $DstT = Bounded::min_value();
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let max_value: $DstT = Bounded::max_value();
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if min_value as i64 <= n && n <= max_value as i64 {
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Some($slf as $DstT)
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} else {
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None
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}
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}
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}
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)
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}
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macro_rules! impl_to_primitive_int_to_uint {
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($SrcT:ty, $DstT:ty, $slf:expr) => (
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{
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let zero: $SrcT = Zero::zero();
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let max_value: $DstT = Bounded::max_value();
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if zero <= $slf && $slf as u64 <= max_value as u64 {
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Some($slf as $DstT)
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} else {
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None
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}
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}
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)
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}
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macro_rules! impl_to_primitive_int {
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($T:ty) => (
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impl ToPrimitive for $T {
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#[inline]
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fn to_isize(&self) -> Option<isize> { impl_to_primitive_int_to_int!($T, isize, *self) }
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#[inline]
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fn to_i8(&self) -> Option<i8> { impl_to_primitive_int_to_int!($T, i8, *self) }
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#[inline]
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fn to_i16(&self) -> Option<i16> { impl_to_primitive_int_to_int!($T, i16, *self) }
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#[inline]
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fn to_i32(&self) -> Option<i32> { impl_to_primitive_int_to_int!($T, i32, *self) }
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#[inline]
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fn to_i64(&self) -> Option<i64> { impl_to_primitive_int_to_int!($T, i64, *self) }
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#[inline]
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fn to_usize(&self) -> Option<usize> { impl_to_primitive_int_to_uint!($T, usize, *self) }
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#[inline]
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fn to_u8(&self) -> Option<u8> { impl_to_primitive_int_to_uint!($T, u8, *self) }
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#[inline]
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fn to_u16(&self) -> Option<u16> { impl_to_primitive_int_to_uint!($T, u16, *self) }
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#[inline]
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fn to_u32(&self) -> Option<u32> { impl_to_primitive_int_to_uint!($T, u32, *self) }
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#[inline]
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fn to_u64(&self) -> Option<u64> { impl_to_primitive_int_to_uint!($T, u64, *self) }
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#[inline]
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fn to_f32(&self) -> Option<f32> { Some(*self as f32) }
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#[inline]
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fn to_f64(&self) -> Option<f64> { Some(*self as f64) }
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}
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)
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}
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impl_to_primitive_int!(isize);
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impl_to_primitive_int!(i8);
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impl_to_primitive_int!(i16);
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impl_to_primitive_int!(i32);
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impl_to_primitive_int!(i64);
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macro_rules! impl_to_primitive_uint_to_int {
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($DstT:ty, $slf:expr) => (
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{
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let max_value: $DstT = Bounded::max_value();
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if $slf as u64 <= max_value as u64 {
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Some($slf as $DstT)
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} else {
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None
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}
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}
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)
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}
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macro_rules! impl_to_primitive_uint_to_uint {
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($SrcT:ty, $DstT:ty, $slf:expr) => (
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{
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if size_of::<$SrcT>() <= size_of::<$DstT>() {
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Some($slf as $DstT)
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} else {
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let zero: $SrcT = Zero::zero();
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let max_value: $DstT = Bounded::max_value();
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if zero <= $slf && $slf as u64 <= max_value as u64 {
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Some($slf as $DstT)
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} else {
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None
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}
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}
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}
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)
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}
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macro_rules! impl_to_primitive_uint {
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($T:ty) => (
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impl ToPrimitive for $T {
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#[inline]
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fn to_isize(&self) -> Option<isize> { impl_to_primitive_uint_to_int!(isize, *self) }
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#[inline]
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fn to_i8(&self) -> Option<i8> { impl_to_primitive_uint_to_int!(i8, *self) }
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#[inline]
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fn to_i16(&self) -> Option<i16> { impl_to_primitive_uint_to_int!(i16, *self) }
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#[inline]
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fn to_i32(&self) -> Option<i32> { impl_to_primitive_uint_to_int!(i32, *self) }
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#[inline]
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fn to_i64(&self) -> Option<i64> { impl_to_primitive_uint_to_int!(i64, *self) }
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#[inline]
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fn to_usize(&self) -> Option<usize> {
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impl_to_primitive_uint_to_uint!($T, usize, *self)
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}
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#[inline]
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fn to_u8(&self) -> Option<u8> { impl_to_primitive_uint_to_uint!($T, u8, *self) }
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#[inline]
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fn to_u16(&self) -> Option<u16> { impl_to_primitive_uint_to_uint!($T, u16, *self) }
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#[inline]
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fn to_u32(&self) -> Option<u32> { impl_to_primitive_uint_to_uint!($T, u32, *self) }
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#[inline]
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fn to_u64(&self) -> Option<u64> { impl_to_primitive_uint_to_uint!($T, u64, *self) }
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#[inline]
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fn to_f32(&self) -> Option<f32> { Some(*self as f32) }
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#[inline]
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fn to_f64(&self) -> Option<f64> { Some(*self as f64) }
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}
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)
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}
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impl_to_primitive_uint!(usize);
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impl_to_primitive_uint!(u8);
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impl_to_primitive_uint!(u16);
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impl_to_primitive_uint!(u32);
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impl_to_primitive_uint!(u64);
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macro_rules! impl_to_primitive_float_to_float {
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($SrcT:ident, $DstT:ident, $slf:expr) => (
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if size_of::<$SrcT>() <= size_of::<$DstT>() {
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Some($slf as $DstT)
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} else {
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// Make sure the value is in range for the cast.
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// NaN and +-inf are cast as they are.
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let n = $slf as f64;
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let max_value: $DstT = ::std::$DstT::MAX;
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if !n.is_finite() || (-max_value as f64 <= n && n <= max_value as f64) {
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Some($slf as $DstT)
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} else {
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None
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}
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}
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)
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}
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macro_rules! impl_to_primitive_float {
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($T:ident) => (
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impl ToPrimitive for $T {
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#[inline]
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fn to_isize(&self) -> Option<isize> { Some(*self as isize) }
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#[inline]
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fn to_i8(&self) -> Option<i8> { Some(*self as i8) }
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#[inline]
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fn to_i16(&self) -> Option<i16> { Some(*self as i16) }
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#[inline]
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fn to_i32(&self) -> Option<i32> { Some(*self as i32) }
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#[inline]
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fn to_i64(&self) -> Option<i64> { Some(*self as i64) }
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#[inline]
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fn to_usize(&self) -> Option<usize> { Some(*self as usize) }
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#[inline]
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fn to_u8(&self) -> Option<u8> { Some(*self as u8) }
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#[inline]
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fn to_u16(&self) -> Option<u16> { Some(*self as u16) }
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#[inline]
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fn to_u32(&self) -> Option<u32> { Some(*self as u32) }
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#[inline]
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fn to_u64(&self) -> Option<u64> { Some(*self as u64) }
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#[inline]
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fn to_f32(&self) -> Option<f32> { impl_to_primitive_float_to_float!($T, f32, *self) }
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#[inline]
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fn to_f64(&self) -> Option<f64> { impl_to_primitive_float_to_float!($T, f64, *self) }
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}
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)
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}
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impl_to_primitive_float!(f32);
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impl_to_primitive_float!(f64);
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/// A generic trait for converting a number to a value.
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pub trait FromPrimitive: Sized {
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/// Convert an `isize` to return an optional value of this type. If the
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/// value cannot be represented by this value, the `None` is returned.
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#[inline]
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fn from_isize(n: isize) -> Option<Self> {
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FromPrimitive::from_i64(n as i64)
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}
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/// Convert an `i8` to return an optional value of this type. If the
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/// type cannot be represented by this value, the `None` is returned.
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#[inline]
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fn from_i8(n: i8) -> Option<Self> {
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FromPrimitive::from_i64(n as i64)
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}
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/// Convert an `i16` to return an optional value of this type. If the
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/// type cannot be represented by this value, the `None` is returned.
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#[inline]
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fn from_i16(n: i16) -> Option<Self> {
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FromPrimitive::from_i64(n as i64)
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}
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/// Convert an `i32` to return an optional value of this type. If the
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/// type cannot be represented by this value, the `None` is returned.
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#[inline]
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fn from_i32(n: i32) -> Option<Self> {
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FromPrimitive::from_i64(n as i64)
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}
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/// Convert an `i64` to return an optional value of this type. If the
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/// type cannot be represented by this value, the `None` is returned.
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fn from_i64(n: i64) -> Option<Self>;
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/// Convert a `usize` to return an optional value of this type. If the
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/// type cannot be represented by this value, the `None` is returned.
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#[inline]
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fn from_usize(n: usize) -> Option<Self> {
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FromPrimitive::from_u64(n as u64)
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}
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/// Convert an `u8` to return an optional value of this type. If the
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/// type cannot be represented by this value, the `None` is returned.
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#[inline]
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fn from_u8(n: u8) -> Option<Self> {
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FromPrimitive::from_u64(n as u64)
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}
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/// Convert an `u16` to return an optional value of this type. If the
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/// type cannot be represented by this value, the `None` is returned.
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#[inline]
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fn from_u16(n: u16) -> Option<Self> {
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FromPrimitive::from_u64(n as u64)
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}
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/// Convert an `u32` to return an optional value of this type. If the
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/// type cannot be represented by this value, the `None` is returned.
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#[inline]
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fn from_u32(n: u32) -> Option<Self> {
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FromPrimitive::from_u64(n as u64)
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}
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/// Convert an `u64` to return an optional value of this type. If the
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/// type cannot be represented by this value, the `None` is returned.
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fn from_u64(n: u64) -> Option<Self>;
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/// Convert a `f32` to return an optional value of this type. If the
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/// type cannot be represented by this value, the `None` is returned.
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#[inline]
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fn from_f32(n: f32) -> Option<Self> {
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FromPrimitive::from_f64(n as f64)
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}
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/// Convert a `f64` to return an optional value of this type. If the
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/// type cannot be represented by this value, the `None` is returned.
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#[inline]
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fn from_f64(n: f64) -> Option<Self> {
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FromPrimitive::from_i64(n as i64)
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}
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}
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macro_rules! impl_from_primitive {
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($T:ty, $to_ty:ident) => (
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#[allow(deprecated)]
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impl FromPrimitive for $T {
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#[inline] fn from_i8(n: i8) -> Option<$T> { n.$to_ty() }
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#[inline] fn from_i16(n: i16) -> Option<$T> { n.$to_ty() }
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#[inline] fn from_i32(n: i32) -> Option<$T> { n.$to_ty() }
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#[inline] fn from_i64(n: i64) -> Option<$T> { n.$to_ty() }
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#[inline] fn from_u8(n: u8) -> Option<$T> { n.$to_ty() }
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#[inline] fn from_u16(n: u16) -> Option<$T> { n.$to_ty() }
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#[inline] fn from_u32(n: u32) -> Option<$T> { n.$to_ty() }
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#[inline] fn from_u64(n: u64) -> Option<$T> { n.$to_ty() }
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#[inline] fn from_f32(n: f32) -> Option<$T> { n.$to_ty() }
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#[inline] fn from_f64(n: f64) -> Option<$T> { n.$to_ty() }
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}
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)
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}
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impl_from_primitive!(isize, to_isize);
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impl_from_primitive!(i8, to_i8);
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impl_from_primitive!(i16, to_i16);
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impl_from_primitive!(i32, to_i32);
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impl_from_primitive!(i64, to_i64);
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impl_from_primitive!(usize, to_usize);
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impl_from_primitive!(u8, to_u8);
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impl_from_primitive!(u16, to_u16);
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impl_from_primitive!(u32, to_u32);
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impl_from_primitive!(u64, to_u64);
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impl_from_primitive!(f32, to_f32);
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impl_from_primitive!(f64, to_f64);
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impl<T: ToPrimitive> ToPrimitive for Wrapping<T> {
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fn to_i64(&self) -> Option<i64> { self.0.to_i64() }
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fn to_u64(&self) -> Option<u64> { self.0.to_u64() }
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}
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impl<T: FromPrimitive> FromPrimitive for Wrapping<T> {
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fn from_u64(n: u64) -> Option<Self> { T::from_u64(n).map(Wrapping) }
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fn from_i64(n: i64) -> Option<Self> { T::from_i64(n).map(Wrapping) }
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}
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/// Cast from one machine scalar to another.
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///
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/// # Examples
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///
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/// ```
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/// # use num_traits as num;
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/// let twenty: f32 = num::cast(0x14).unwrap();
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/// assert_eq!(twenty, 20f32);
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/// ```
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///
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#[inline]
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pub fn cast<T: NumCast, U: NumCast>(n: T) -> Option<U> {
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NumCast::from(n)
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}
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/// An interface for casting between machine scalars.
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pub trait NumCast: Sized + ToPrimitive {
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/// Creates a number from another value that can be converted into
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/// a primitive via the `ToPrimitive` trait.
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fn from<T: ToPrimitive>(n: T) -> Option<Self>;
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}
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macro_rules! impl_num_cast {
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($T:ty, $conv:ident) => (
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impl NumCast for $T {
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#[inline]
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#[allow(deprecated)]
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fn from<N: ToPrimitive>(n: N) -> Option<$T> {
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// `$conv` could be generated using `concat_idents!`, but that
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// macro seems to be broken at the moment
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n.$conv()
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}
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}
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)
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}
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impl_num_cast!(u8, to_u8);
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impl_num_cast!(u16, to_u16);
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impl_num_cast!(u32, to_u32);
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impl_num_cast!(u64, to_u64);
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impl_num_cast!(usize, to_usize);
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impl_num_cast!(i8, to_i8);
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impl_num_cast!(i16, to_i16);
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impl_num_cast!(i32, to_i32);
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impl_num_cast!(i64, to_i64);
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impl_num_cast!(isize, to_isize);
|
|
impl_num_cast!(f32, to_f32);
|
|
impl_num_cast!(f64, to_f64);
|
|
|
|
impl<T: NumCast> NumCast for Wrapping<T> {
|
|
fn from<U: ToPrimitive>(n: U) -> Option<Self> {
|
|
T::from(n).map(Wrapping)
|
|
}
|
|
}
|
|
|
|
/// A generic interface for casting between machine scalars with the
|
|
/// `as` operator, which admits narrowing and precision loss.
|
|
/// Implementers of this trait AsPrimitive should behave like a primitive
|
|
/// numeric type (e.g. a newtype around another primitive), and the
|
|
/// intended conversion must never fail.
|
|
///
|
|
/// # Examples
|
|
///
|
|
/// ```
|
|
/// # use num_traits::AsPrimitive;
|
|
/// let three: i32 = (3.14159265f32).as_();
|
|
/// assert_eq!(three, 3);
|
|
/// ```
|
|
///
|
|
/// # 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));
|
|
///
|
|
/// ```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
|
|
{
|
|
/// Convert a value to another, using the `as` operator.
|
|
fn as_(self) -> T;
|
|
}
|
|
|
|
macro_rules! impl_as_primitive {
|
|
($T: ty => $( $U: ty ),* ) => {
|
|
$(
|
|
impl AsPrimitive<$U> for $T {
|
|
#[inline] fn as_(self) -> $U { self as $U }
|
|
}
|
|
)*
|
|
};
|
|
}
|
|
|
|
impl_as_primitive!(u8 => char, u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
|
|
impl_as_primitive!(i8 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
|
|
impl_as_primitive!(u16 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
|
|
impl_as_primitive!(i16 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
|
|
impl_as_primitive!(u32 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
|
|
impl_as_primitive!(i32 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
|
|
impl_as_primitive!(u64 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
|
|
impl_as_primitive!(i64 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
|
|
impl_as_primitive!(usize => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
|
|
impl_as_primitive!(isize => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
|
|
impl_as_primitive!(f32 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
|
|
impl_as_primitive!(f64 => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64, f32, f64);
|
|
impl_as_primitive!(char => char, u8, i8, u16, i16, u32, i32, u64, isize, usize, i64);
|
|
impl_as_primitive!(bool => u8, i8, u16, i16, u32, i32, u64, isize, usize, i64);
|
|
|
|
#[test]
|
|
fn to_primitive_float() {
|
|
use std::f32;
|
|
use std::f64;
|
|
|
|
let f32_toolarge = 1e39f64;
|
|
assert_eq!(f32_toolarge.to_f32(), None);
|
|
assert_eq!((f32::MAX as f64).to_f32(), Some(f32::MAX));
|
|
assert_eq!((-f32::MAX as f64).to_f32(), Some(-f32::MAX));
|
|
assert_eq!(f64::INFINITY.to_f32(), Some(f32::INFINITY));
|
|
assert_eq!((f64::NEG_INFINITY).to_f32(), Some(f32::NEG_INFINITY));
|
|
assert!((f64::NAN).to_f32().map_or(false, |f| f.is_nan()));
|
|
}
|
|
|
|
#[test]
|
|
fn wrapping_to_primitive() {
|
|
macro_rules! test_wrapping_to_primitive {
|
|
($($t:ty)+) => {
|
|
$({
|
|
let i: $t = 0;
|
|
let w = Wrapping(i);
|
|
assert_eq!(i.to_u8(), w.to_u8());
|
|
assert_eq!(i.to_u16(), w.to_u16());
|
|
assert_eq!(i.to_u32(), w.to_u32());
|
|
assert_eq!(i.to_u64(), w.to_u64());
|
|
assert_eq!(i.to_usize(), w.to_usize());
|
|
assert_eq!(i.to_i8(), w.to_i8());
|
|
assert_eq!(i.to_i16(), w.to_i16());
|
|
assert_eq!(i.to_i32(), w.to_i32());
|
|
assert_eq!(i.to_i64(), w.to_i64());
|
|
assert_eq!(i.to_isize(), w.to_isize());
|
|
assert_eq!(i.to_f32(), w.to_f32());
|
|
assert_eq!(i.to_f64(), w.to_f64());
|
|
})+
|
|
};
|
|
}
|
|
|
|
test_wrapping_to_primitive!(usize u8 u16 u32 u64 isize i8 i16 i32 i64);
|
|
}
|
|
|
|
#[test]
|
|
fn wrapping_is_toprimitive() {
|
|
fn require_toprimitive<T: ToPrimitive>(_: &T) {}
|
|
require_toprimitive(&Wrapping(42));
|
|
}
|
|
|
|
#[test]
|
|
fn wrapping_is_fromprimitive() {
|
|
fn require_fromprimitive<T: FromPrimitive>(_: &T) {}
|
|
require_fromprimitive(&Wrapping(42));
|
|
}
|
|
|
|
#[test]
|
|
fn wrapping_is_numcast() {
|
|
fn require_numcast<T: NumCast>(_: &T) {}
|
|
require_numcast(&Wrapping(42));
|
|
}
|
|
|
|
#[test]
|
|
fn as_primitive() {
|
|
let x: f32 = (1.625f64).as_();
|
|
assert_eq!(x, 1.625f32);
|
|
|
|
let x: f32 = (3.14159265358979323846f64).as_();
|
|
assert_eq!(x, 3.1415927f32);
|
|
|
|
let x: u8 = (768i16).as_();
|
|
assert_eq!(x, 0);
|
|
}
|