use core::ops::{Add, Sub};
use frac::{IsGreaterOrEqual, IsLessOrEqual, True, Unsigned, U0, U1, U128, U16, U2, U32, U64, U8};
#[cfg(feature = "f16")]
use half::f16;
use {
FixedI128, FixedI16, FixedI32, FixedI64, FixedI8, FixedU128, FixedU16, FixedU32, FixedU64,
FixedU8,
};
macro_rules! convert {
(($SrcU:ident, $SrcI:ident, $SrcBits:ident) -> ($DstU:ident, $DstI:ident, $DstBits:ident)) => {
impl<FracSrc, FracDst, FracMax> From<$SrcU<FracSrc>> for $DstU<FracDst>
where
FracSrc: Unsigned
+ IsLessOrEqual<$SrcBits, Output = True>
+ Add<<$DstBits as Sub<$SrcBits>>::Output, Output = FracMax>,
FracDst: Unsigned
+ IsLessOrEqual<$DstBits, Output = True>
+ IsGreaterOrEqual<FracSrc, Output = True>
+ IsLessOrEqual<FracMax, Output = True>,
FracMax: Unsigned,
{
#[inline]
fn from(src: $SrcU<FracSrc>) -> $DstU<FracDst> {
let unshifted = $DstU::<FracDst>::from_bits(src.to_bits().into()).to_bits();
let shift = FracDst::U32 - FracSrc::U32;
$DstU::<FracDst>::from_bits(unshifted << shift)
}
}
impl<FracSrc, FracDst, FracMax> From<$SrcI<FracSrc>> for $DstI<FracDst>
where
FracSrc: Unsigned
+ IsLessOrEqual<$SrcBits, Output = True>
+ Add<<$DstBits as Sub<$SrcBits>>::Output, Output = FracMax>,
FracDst: Unsigned
+ IsLessOrEqual<$DstBits, Output = True>
+ IsGreaterOrEqual<FracSrc, Output = True>
+ IsLessOrEqual<FracMax, Output = True>,
FracMax: Unsigned,
{
#[inline]
fn from(src: $SrcI<FracSrc>) -> $DstI<FracDst> {
let unshifted = $DstI::<FracDst>::from_bits(src.to_bits().into()).to_bits();
let shift = FracDst::U32 - FracSrc::U32;
$DstI::<FracDst>::from_bits(unshifted << shift)
}
}
impl<FracSrc, FracDst, FracMax> From<$SrcU<FracSrc>> for $DstI<FracDst>
where
FracSrc: Unsigned
+ IsLessOrEqual<$SrcBits, Output = True>
+ Add<
<<$DstBits as Sub<$SrcBits>>::Output as Sub<U1>>::Output,
Output = FracMax,
>,
FracDst: Unsigned
+ IsLessOrEqual<$DstBits, Output = True>
+ IsGreaterOrEqual<FracSrc, Output = True>
+ IsLessOrEqual<FracMax, Output = True>,
FracMax: Unsigned,
{
#[inline]
fn from(src: $SrcU<FracSrc>) -> $DstI<FracDst> {
let unshifted = $DstI::<FracDst>::from_bits(src.to_bits().into()).to_bits();
let shift = FracDst::U32 - FracSrc::U32;
$DstI::<FracDst>::from_bits(unshifted << shift)
}
}
};
}
convert! { (FixedU8, FixedI8, U8) -> (FixedU16, FixedI16, U16) }
convert! { (FixedU8, FixedI8, U8) -> (FixedU32, FixedI32, U32) }
convert! { (FixedU8, FixedI8, U8) -> (FixedU64, FixedI64, U64) }
convert! { (FixedU8, FixedI8, U8) -> (FixedU128, FixedI128, U128) }
convert! { (FixedU16, FixedI16, U16) -> (FixedU32, FixedI32, U32) }
convert! { (FixedU16, FixedI16, U16) -> (FixedU64, FixedI64, U64) }
convert! { (FixedU16, FixedI16, U16) -> (FixedU128, FixedI128, U128) }
convert! { (FixedU32, FixedI32, U32) -> (FixedU64, FixedI64, U64) }
convert! { (FixedU32, FixedI32, U32) -> (FixedU128, FixedI128, U128) }
convert! { (FixedU64, FixedI64, U64) -> (FixedU128, FixedI128, U128) }
macro_rules! int_to_fixed {
(($SrcU:ident, $SrcI:ident, $SrcBits:ident) -> ($DstU:ident, $DstI:ident, $DstBits:ident)) => {
impl<FracDst> From<$SrcU> for $DstU<FracDst>
where
FracDst: Unsigned
+ IsLessOrEqual<$DstBits, Output = True>
+ IsLessOrEqual<<$DstBits as Sub<$SrcBits>>::Output, Output = True>,
{
#[inline]
fn from(src: $SrcU) -> $DstU<FracDst> {
let unshifted = $DstU::<FracDst>::from_bits(src.into()).to_bits();
let shift = FracDst::U32;
$DstU::<FracDst>::from_bits(unshifted << shift)
}
}
impl<FracDst> From<$SrcI> for $DstI<FracDst>
where
FracDst: Unsigned
+ IsLessOrEqual<$DstBits, Output = True>
+ IsLessOrEqual<<$DstBits as Sub<$SrcBits>>::Output, Output = True>,
{
#[inline]
fn from(src: $SrcI) -> $DstI<FracDst> {
let unshifted = $DstI::<FracDst>::from_bits(src.into()).to_bits();
let shift = FracDst::U32;
$DstI::<FracDst>::from_bits(unshifted << shift)
}
}
impl<FracDst> From<$SrcU> for $DstI<FracDst>
where
FracDst: Unsigned
+ IsLessOrEqual<$DstBits, Output = True>
+ IsLessOrEqual<
<<$DstBits as Sub<$SrcBits>>::Output as Sub<U1>>::Output,
Output = True,
>,
{
#[inline]
fn from(src: $SrcU) -> $DstI<FracDst> {
let unshifted = $DstI::<FracDst>::from_bits(src.into()).to_bits();
let shift = FracDst::U32;
$DstI::<FracDst>::from_bits(unshifted << shift)
}
}
};
(($SrcU:ident, $SrcI:ident) -> ($DstU:ident, $DstI:ident)) => {
impl From<$SrcU> for $DstU<U0> {
#[inline]
fn from(src: $SrcU) -> $DstU<U0> {
$DstU::<U0>::from_bits(src)
}
}
impl From<$SrcI> for $DstI<U0> {
#[inline]
fn from(src: $SrcI) -> $DstI<U0> {
$DstI::<U0>::from_bits(src)
}
}
};
}
int_to_fixed! { (u8, i8) -> (FixedU8, FixedI8) }
int_to_fixed! { (u8, i8, U8) -> (FixedU16, FixedI16, U16) }
int_to_fixed! { (u8, i8, U8) -> (FixedU32, FixedI32, U32) }
int_to_fixed! { (u8, i8, U8) -> (FixedU64, FixedI64, U64) }
int_to_fixed! { (u8, i8, U8) -> (FixedU128, FixedI128, U128) }
int_to_fixed! { (u16, i16) -> (FixedU16, FixedI16) }
int_to_fixed! { (u16, i16, U16) -> (FixedU32, FixedI32, U32) }
int_to_fixed! { (u16, i16, U16) -> (FixedU64, FixedI64, U64) }
int_to_fixed! { (u16, i16, U16) -> (FixedU128, FixedI128, U128) }
int_to_fixed! { (u32, i32) -> (FixedU32, FixedI32) }
int_to_fixed! { (u32, i32, U32) -> (FixedU64, FixedI64, U64) }
int_to_fixed! { (u32, i32, U32) -> (FixedU128, FixedI128, U128) }
int_to_fixed! { (u64, i64) -> (FixedU64, FixedI64) }
int_to_fixed! { (u64, i64, U64) -> (FixedU128, FixedI128, U128) }
int_to_fixed! { (u128, i128) -> (FixedU128, FixedI128) }
macro_rules! bool_to_fixed {
($DstU:ident, $DstI:ident, $DstBits:ident) => {
impl<FracDst> From<bool> for $DstU<FracDst>
where
FracDst: Unsigned
+ IsLessOrEqual<$DstBits, Output = True>
+ IsLessOrEqual<<$DstBits as Sub<U1>>::Output, Output = True>,
{
#[inline]
fn from(src: bool) -> $DstU<FracDst> {
let unshifted = $DstU::<FracDst>::from_bits(src.into()).to_bits();
let shift = FracDst::U32;
$DstU::<FracDst>::from_bits(unshifted << shift)
}
}
impl<FracDst> From<bool> for $DstI<FracDst>
where
FracDst: Unsigned
+ IsLessOrEqual<$DstBits, Output = True>
+ IsLessOrEqual<<$DstBits as Sub<U2>>::Output, Output = True>,
{
#[inline]
fn from(src: bool) -> $DstI<FracDst> {
let unshifted = $DstI::<FracDst>::from_bits(src.into()).to_bits();
let shift = FracDst::U32;
$DstI::<FracDst>::from_bits(unshifted << shift)
}
}
};
}
bool_to_fixed! { FixedU8, FixedI8, U8 }
bool_to_fixed! { FixedU16, FixedI16, U16 }
bool_to_fixed! { FixedU32, FixedI32, U32 }
bool_to_fixed! { FixedU64, FixedI64, U64 }
bool_to_fixed! { FixedU128, FixedI128, U128 }
macro_rules! fixed_to_int {
(($SrcU:ident, $SrcI:ident) -> ($DstU:ident, $DstI:ident)) => {
impl From<$SrcU<U0>> for $DstU {
#[inline]
fn from(src: $SrcU<U0>) -> $DstU {
src.to_bits()
}
}
impl From<$SrcI<U0>> for $DstI {
#[inline]
fn from(src: $SrcI<U0>) -> $DstI {
src.to_bits()
}
}
};
(($SrcU:ident, $SrcI:ident) -> wider ($DstU:ident, $DstI:ident)) => {
impl From<$SrcU<U0>> for $DstU {
#[inline]
fn from(src: $SrcU<U0>) -> $DstU {
src.to_bits().into()
}
}
impl From<$SrcI<U0>> for $DstI {
#[inline]
fn from(src: $SrcI<U0>) -> $DstI {
src.to_bits().into()
}
}
impl From<$SrcU<U0>> for $DstI {
#[inline]
fn from(src: $SrcU<U0>) -> $DstI {
src.to_bits().into()
}
}
};
}
fixed_to_int! { (FixedU8, FixedI8) -> (u8, i8) }
fixed_to_int! { (FixedU8, FixedI8) -> wider (u16, i16) }
fixed_to_int! { (FixedU8, FixedI8) -> wider (u32, i32) }
fixed_to_int! { (FixedU8, FixedI8) -> wider (u64, i64) }
fixed_to_int! { (FixedU8, FixedI8) -> wider (u128, i128) }
fixed_to_int! { (FixedU16, FixedI16) -> (u16, i16) }
fixed_to_int! { (FixedU16, FixedI16) -> wider (u32, i32) }
fixed_to_int! { (FixedU16, FixedI16) -> wider (u64, i64) }
fixed_to_int! { (FixedU16, FixedI16) -> wider (u128, i128) }
fixed_to_int! { (FixedU32, FixedI32) -> (u32, i32) }
fixed_to_int! { (FixedU32, FixedI32) -> wider (u64, i64) }
fixed_to_int! { (FixedU32, FixedI32) -> wider (u128, i128) }
fixed_to_int! { (FixedU64, FixedI64) -> (u64, i64) }
fixed_to_int! { (FixedU64, FixedI64) -> wider (u128, i128) }
fixed_to_int! { (FixedU128, FixedI128) -> (u128, i128) }
macro_rules! fixed_to_float {
($Fixed:ident($Len:ty) -> $Float:ident) => {
impl<Frac> From<$Fixed<Frac>> for $Float
where
Frac: Unsigned + IsLessOrEqual<$Len, Output = True>,
{
#[inline]
fn from(src: $Fixed<Frac>) -> $Float {
src.to_float()
}
}
};
}
#[cfg(feature = "f16")]
fixed_to_float! { FixedI8(U8) -> f16 }
#[cfg(feature = "f16")]
fixed_to_float! { FixedU8(U8) -> f16 }
fixed_to_float! { FixedI8(U8) -> f32 }
fixed_to_float! { FixedI16(U16) -> f32 }
fixed_to_float! { FixedU8(U8) -> f32 }
fixed_to_float! { FixedU16(U16) -> f32 }
fixed_to_float! { FixedI8(U8) -> f64 }
fixed_to_float! { FixedI16(U16) -> f64 }
fixed_to_float! { FixedI32(U32) -> f64 }
fixed_to_float! { FixedU8(U8) -> f64 }
fixed_to_float! { FixedU16(U16) -> f64 }
fixed_to_float! { FixedU32(U32) -> f64 }
#[cfg_attr(feature = "cargo-clippy", allow(clippy::float_cmp))]
#[cfg(test)]
mod tests {
use *;
#[test]
fn expanding_from_unsigned() {
type L8 = FixedU8<frac::U0>;
type LL16 = FixedU16<frac::U0>;
type LH16 = FixedU16<frac::U8>;
type LL128 = FixedU128<frac::U0>;
type LH128 = FixedU128<frac::U120>;
type H8 = FixedU8<frac::U8>;
type HL16 = FixedU16<frac::U8>;
type HH16 = FixedU16<frac::U16>;
type HL128 = FixedU128<frac::U8>;
type HH128 = FixedU128<frac::U128>;
let vals: &[u8] = &[0x00, 0x7f, 0x80, 0xff];
for &val in vals {
let val16 = u16::from(val);
let val128 = u128::from(val);
let l = L8::from_bits(val);
assert_eq!(l, L8::from(val));
assert_eq!(val, u8::from(l));
assert_eq!(LL16::from(l), LL16::from_bits(val16));
assert_eq!(LH16::from(l), LH16::from_bits(val16 << 8));
assert_eq!(LL128::from(l), LL128::from_bits(val128));
assert_eq!(LH128::from(l), LH128::from_bits(val128 << 120));
let h = H8::from_bits(val);
assert_eq!(HL16::from(h), HL16::from_bits(val16));
assert_eq!(HH16::from(h), HH16::from_bits(val16 << 8));
assert_eq!(HL128::from(h), HL128::from_bits(val128));
assert_eq!(HH128::from(h), HH128::from_bits(val128 << 120));
}
}
#[test]
fn expanding_from_signed() {
type L8 = FixedI8<frac::U0>;
type LL16 = FixedI16<frac::U0>;
type LH16 = FixedI16<frac::U8>;
type LL128 = FixedI128<frac::U0>;
type LH128 = FixedI128<frac::U120>;
type H8 = FixedI8<frac::U8>;
type HL16 = FixedI16<frac::U8>;
type HH16 = FixedI16<frac::U16>;
type HL128 = FixedI128<frac::U8>;
type HH128 = FixedI128<frac::U128>;
let vals: &[i8] = &[0x00, 0x7f, -0x80, -0x01];
for &val in vals {
let val16 = i16::from(val);
let val128 = i128::from(val);
let l = L8::from_bits(val);
assert_eq!(l, L8::from(val));
assert_eq!(val, i8::from(l));
assert_eq!(LL16::from(l), LL16::from_bits(val16));
assert_eq!(LH16::from(l), LH16::from_bits(val16 << 8));
assert_eq!(LL128::from(l), LL128::from_bits(val128));
assert_eq!(LH128::from(l), LH128::from_bits(val128 << 120));
let h = H8::from_bits(val);
assert_eq!(HL16::from(h), HL16::from_bits(val16));
assert_eq!(HH16::from(h), HH16::from_bits(val16 << 8));
assert_eq!(HL128::from(h), HL128::from_bits(val128));
assert_eq!(HH128::from(h), HH128::from_bits(val128 << 120));
}
}
#[test]
fn expanding_from_unsigned_to_signed() {
type L8 = FixedU8<frac::U0>;
type LL16 = FixedI16<frac::U0>;
type LH16 = FixedI16<frac::U7>;
type LL128 = FixedI128<frac::U0>;
type LH128 = FixedI128<frac::U119>;
type H8 = FixedU8<frac::U8>;
type HL16 = FixedI16<frac::U8>;
type HH16 = FixedI16<frac::U15>;
type HL128 = FixedI128<frac::U8>;
type HH128 = FixedI128<frac::U127>;
let vals: &[u8] = &[0x00, 0x7f, 0x80, 0xff];
for &val in vals {
let val16 = i16::from(val);
let val128 = i128::from(val);
let l = L8::from_bits(val);
assert_eq!(l, L8::from(val));
assert_eq!(val, u8::from(l));
assert_eq!(LL16::from(l), LL16::from_bits(val16));
assert_eq!(LH16::from(l), LH16::from_bits(val16 << 7));
assert_eq!(LL128::from(l), LL128::from_bits(val128));
assert_eq!(LH128::from(l), LH128::from_bits(val128 << 119));
let h = H8::from_bits(val);
assert_eq!(HL16::from(h), HL16::from_bits(val16));
assert_eq!(HH16::from(h), HH16::from_bits(val16 << 7));
assert_eq!(HL128::from(h), HL128::from_bits(val128));
assert_eq!(HH128::from(h), HH128::from_bits(val128 << 119));
}
}
#[test]
fn from_bool() {
assert_eq!(FixedI8::<frac::U6>::from(true), 1);
assert_eq!(FixedI8::<frac::U6>::from(false), 0);
assert_eq!(FixedI128::<frac::U64>::from(true), 1);
assert_eq!(FixedU128::<frac::U127>::from(true), 1);
}
#[test]
fn to_size() {
let min_i24 = FixedI32::<frac::U8>::min_value();
let max_i24 = FixedI32::<frac::U8>::max_value();
let max_u24 = FixedU32::<frac::U8>::max_value();
assert_eq!(min_i24.overflowing_to_int::<isize>(), (!0 << 23, false));
assert_eq!(max_i24.overflowing_to_int::<isize>(), (!(!0 << 23), false));
assert_eq!(max_u24.overflowing_to_int::<isize>(), (!(!0 << 24), false));
assert_eq!(min_i24.overflowing_to_int::<usize>(), (!0 << 23, true));
assert_eq!(max_i24.overflowing_to_int::<usize>(), (!(!0 << 23), false));
assert_eq!(max_u24.overflowing_to_int::<usize>(), (!(!0 << 24), false));
let min_i56 = FixedI64::<frac::U8>::min_value();
let max_i56 = FixedI64::<frac::U8>::max_value();
let max_u56 = FixedU64::<frac::U8>::max_value();
#[cfg(target_pointer_width = "32")]
{
assert_eq!(min_i56.overflowing_to_int::<isize>(), (0, true));
assert_eq!(max_i56.overflowing_to_int::<isize>(), (!0, true));
assert_eq!(max_u56.overflowing_to_int::<isize>(), (!0, true));
assert_eq!(min_i56.overflowing_to_int::<usize>(), (0, true));
assert_eq!(max_i56.overflowing_to_int::<usize>(), (!0, true));
assert_eq!(max_u56.overflowing_to_int::<usize>(), (!0, true));
}
#[cfg(target_pointer_width = "64")]
{
assert_eq!(min_i56.overflowing_to_int::<isize>(), (!0 << 55, false));
assert_eq!(max_i56.overflowing_to_int::<isize>(), (!(!0 << 55), false));
assert_eq!(max_u56.overflowing_to_int::<isize>(), (!(!0 << 56), false));
assert_eq!(min_i56.overflowing_to_int::<usize>(), (!0 << 55, true));
assert_eq!(max_i56.overflowing_to_int::<usize>(), (!(!0 << 55), false));
assert_eq!(max_u56.overflowing_to_int::<usize>(), (!(!0 << 56), false));
}
let min_i120 = FixedI128::<frac::U8>::min_value();
let max_i120 = FixedI128::<frac::U8>::max_value();
let max_u120 = FixedU128::<frac::U8>::max_value();
assert_eq!(min_i120.overflowing_to_int::<isize>(), (0, true));
assert_eq!(max_i120.overflowing_to_int::<isize>(), (!0, true));
assert_eq!(max_u120.overflowing_to_int::<isize>(), (!0, true));
assert_eq!(min_i120.overflowing_to_int::<usize>(), (0, true));
assert_eq!(max_i120.overflowing_to_int::<usize>(), (!0, true));
assert_eq!(max_u120.overflowing_to_int::<usize>(), (!0, true));
}
#[test]
fn signed_from_float() {
type Fix = FixedI8<frac::U4>;
assert_eq!(Fix::from_float(3.0 / 2.0), Fix::from_bits(24));
assert_eq!(Fix::from_float(3.0 / 4.0), Fix::from_bits(12));
assert_eq!(Fix::from_float(3.0 / 8.0), Fix::from_bits(6));
assert_eq!(Fix::from_float(3.0 / 16.0), Fix::from_bits(3));
assert_eq!(Fix::from_float(3.0 / 32.0), Fix::from_bits(2));
assert_eq!(Fix::from_float(5.0 / 32.0), Fix::from_bits(2));
assert_eq!(Fix::from_float(3.0 / 64.0), Fix::from_bits(1));
assert_eq!(Fix::from_float(1.0 / 32.0), Fix::from_bits(0));
assert_eq!(Fix::from_float(-3.0 / 2.0), Fix::from_bits(-24));
assert_eq!(Fix::from_float(-3.0 / 4.0), Fix::from_bits(-12));
assert_eq!(Fix::from_float(-3.0 / 8.0), Fix::from_bits(-6));
assert_eq!(Fix::from_float(-3.0 / 16.0), Fix::from_bits(-3));
assert_eq!(Fix::from_float(-3.0 / 32.0), Fix::from_bits(-2));
assert_eq!(Fix::from_float(-5.0 / 32.0), Fix::from_bits(-2));
assert_eq!(Fix::from_float(-3.0 / 64.0), Fix::from_bits(-1));
assert_eq!(Fix::from_float(-1.0 / 32.0), Fix::from_bits(0));
assert_eq!(Fix::from_float(127.0 / 16.0), Fix::from_bits(127));
assert_eq!(
Fix::overflowing_from_float(255.0 / 32.0),
(Fix::from_bits(-128), true)
);
assert_eq!(Fix::from_float(-127.0 / 16.0), Fix::from_bits(-127));
assert_eq!(Fix::from_float(-255.0 / 32.0), Fix::from_bits(-128));
assert_eq!(Fix::from_float(-257.0 / 32.0), Fix::from_bits(-128));
assert_eq!(
Fix::overflowing_from_float(-129.0 / 16.0),
(Fix::from_bits(127), true)
);
}
#[test]
fn unsigned_from_float() {
type Fix = FixedU8<frac::U4>;
assert_eq!(Fix::from_float(3.0 / 2.0), Fix::from_bits(24));
assert_eq!(Fix::from_float(3.0 / 4.0), Fix::from_bits(12));
assert_eq!(Fix::from_float(3.0 / 8.0), Fix::from_bits(6));
assert_eq!(Fix::from_float(3.0 / 16.0), Fix::from_bits(3));
assert_eq!(Fix::from_float(3.0 / 32.0), Fix::from_bits(2));
assert_eq!(Fix::from_float(5.0 / 32.0), Fix::from_bits(2));
assert_eq!(Fix::from_float(3.0 / 64.0), Fix::from_bits(1));
assert_eq!(Fix::from_float(1.0 / 32.0), Fix::from_bits(0));
assert_eq!(Fix::from_float(-1.0 / 32.0), Fix::from_bits(0));
assert_eq!(
Fix::overflowing_from_float(-1.0 / 16.0),
(Fix::from_bits(255), true)
);
assert_eq!(Fix::from_float(255.0 / 16.0), Fix::from_bits(255));
assert_eq!(
Fix::overflowing_from_float(511.0 / 32.0),
(Fix::from_bits(0), true)
);
}
#[cfg(feature = "f16")]
#[test]
fn to_f16() {
use half::f16;
for u in 0x00..=0xff {
let fu = FixedU8::<frac::U7>::from_bits(u);
assert_eq!(fu.to_float::<f16>(), f16::from_f32(f32::from(u) / 128.0));
let i = u as i8;
let fi = FixedI8::<frac::U7>::from_bits(i);
assert_eq!(fi.to_float::<f16>(), f16::from_f32(f32::from(i) / 128.0));
for hi in &[
0u32,
0x0000_0100,
0x7fff_ff00,
0x8000_0000,
0x8100_0000,
0xffff_fe00,
0xffff_ff00,
] {
let uu = *hi | u32::from(u);
let fuu = FixedU32::<frac::U7>::from_bits(uu);
assert_eq!(fuu.to_float::<f16>(), f16::from_f32(uu as f32 / 128.0));
let ii = uu as i32;
let fii = FixedI32::<frac::U7>::from_bits(ii);
assert_eq!(fii.to_float::<f16>(), f16::from_f32(ii as f32 / 128.0));
}
for hi in &[
0u128,
0x0000_0000_0000_0000_0000_0000_0000_0100,
0x7fff_ffff_ffff_ffff_ffff_ffff_ffff_ff00,
0x8000_0000_0000_0000_0000_0000_0000_0000,
0x8100_0000_0000_0000_0000_0000_0000_0000,
0xffff_ffff_ffff_ffff_ffff_ffff_ffff_fe00,
0xffff_ffff_ffff_ffff_ffff_ffff_ffff_ff00,
] {
let uu = *hi | u128::from(u);
let fuu = FixedU128::<frac::U7>::from_bits(uu);
assert_eq!(fuu.to_float::<f16>(), f16::from_f64(uu as f64 / 128.0));
let ii = uu as i128;
let fii = FixedI128::<frac::U7>::from_bits(ii);
assert_eq!(fii.to_float::<f16>(), f16::from_f64(ii as f64 / 128.0));
}
}
}
#[test]
fn to_f32() {
for u in 0x00..=0xff {
let fu = FixedU8::<frac::U7>::from_bits(u);
assert_eq!(fu.to_float::<f32>(), f32::from(u) / 128.0);
let i = u as i8;
let fi = FixedI8::<frac::U7>::from_bits(i);
assert_eq!(fi.to_float::<f32>(), f32::from(i) / 128.0);
for hi in &[
0u32,
0x0000_0100,
0x7fff_ff00,
0x8000_0000,
0x8100_0000,
0xffff_fe00,
0xffff_ff00,
] {
let uu = *hi | u32::from(u);
let fuu = FixedU32::<frac::U7>::from_bits(uu);
assert_eq!(fuu.to_float::<f32>(), uu as f32 / 128.0);
let ii = uu as i32;
let fii = FixedI32::<frac::U7>::from_bits(ii);
assert_eq!(fii.to_float::<f32>(), ii as f32 / 128.0);
}
for hi in &[
0u128,
0x0000_0000_0000_0000_0000_0000_0000_0100,
0x7fff_ffff_ffff_ffff_ffff_ffff_ffff_ff00,
0x8000_0000_0000_0000_0000_0000_0000_0000,
0x8100_0000_0000_0000_0000_0000_0000_0000,
0xffff_ffff_ffff_ffff_ffff_ffff_ffff_fe00,
0xffff_ffff_ffff_ffff_ffff_ffff_ffff_ff00,
] {
let uu = *hi | u128::from(u);
let fuu = FixedU128::<frac::U7>::from_bits(uu);
assert_eq!(fuu.to_float::<f32>(), (uu as f64 / 128.0) as f32);
let ii = uu as i128;
let fii = FixedI128::<frac::U7>::from_bits(ii);
assert_eq!(fii.to_float::<f32>(), (ii as f64 / 128.0) as f32);
}
}
}
#[test]
fn to_infinite_f32() {
let too_large = FixedU128::<frac::U0>::max_value();
assert_eq!(too_large.count_ones(), 128);
assert!(too_large.to_float::<f32>().is_infinite());
let still_too_large = too_large << 103u32;
assert_eq!(still_too_large.count_ones(), 25);
assert!(still_too_large.to_float::<f32>().is_infinite());
let not_too_large = still_too_large - FixedU128::from_bits(1);
assert_eq!(not_too_large.count_ones(), 127);
assert!(!not_too_large.to_float::<f32>().is_infinite());
let min_i128 = FixedI128::<frac::U0>::min_value();
assert_eq!(min_i128.count_ones(), 1);
assert_eq!(min_i128.to_float::<f32>(), -(127f32.exp2()));
}
#[test]
fn to_f64() {
for u in 0x00..=0xff {
let fu = FixedU8::<frac::U7>::from_bits(u);
assert_eq!(fu.to_float::<f64>(), f64::from(u) / 128.0);
let i = u as i8;
let fi = FixedI8::<frac::U7>::from_bits(i);
assert_eq!(fi.to_float::<f64>(), f64::from(i) / 128.0);
for hi in &[
0u64,
0x0000_0000_0000_0100,
0x7fff_ffff_ffff_ff00,
0x8000_0000_0000_0000,
0x8100_0000_0000_0000,
0xffff_ffff_ffff_fe00,
0xffff_ffff_ffff_ff00,
] {
let uu = *hi | u64::from(u);
let fuu = FixedU64::<frac::U7>::from_bits(uu);
assert_eq!(fuu.to_float::<f64>(), uu as f64 / 128.0);
let ii = uu as i64;
let fii = FixedI64::<frac::U7>::from_bits(ii);
assert_eq!(fii.to_float::<f64>(), ii as f64 / 128.0);
}
for hi in &[
0u128,
0x0000_0000_0000_0000_0000_0000_0000_0100,
0x7fff_ffff_ffff_ffff_ffff_ffff_ffff_ff00,
0x8000_0000_0000_0000_0000_0000_0000_0000,
0x8100_0000_0000_0000_0000_0000_0000_0000,
0xffff_ffff_ffff_ffff_ffff_ffff_ffff_fe00,
0xffff_ffff_ffff_ffff_ffff_ffff_ffff_ff00,
] {
let uu = *hi | u128::from(u);
let fuu = FixedU128::<frac::U7>::from_bits(uu);
assert_eq!(fuu.to_float::<f64>(), uu as f64 / 128.0);
let ii = uu as i128;
let fii = FixedI128::<frac::U7>::from_bits(ii);
assert_eq!(fii.to_float::<f64>(), ii as f64 / 128.0);
}
}
}
}