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250 changes: 100 additions & 150 deletions src/float/conv.rs
Original file line number Diff line number Diff line change
@@ -1,3 +1,9 @@
use core::ops::Neg;

use crate::int::{CastFrom, CastInto, Int, MinInt};

use super::Float;

/// Conversions from integers to floats.
///
/// These are hand-optimized bit twiddling code,
Expand Down Expand Up @@ -142,206 +148,150 @@ intrinsics! {
}
}

fn float_to_unsigned_int<F, U>(f: F) -> U
where
F: Float,
U: Int,
u32: CastFrom<F::Int>,
F::Int: CastInto<U>,
F::Int: CastFrom<u32>,
{
let uint_max_exp: u32 = F::EXPONENT_BIAS + U::MAX.ilog2() + 1;
let fbits = f.repr();

if fbits < F::ONE.repr() {
// >= 0.0, < 1.0 (< 0.0 are > 1.0 in int repr)
U::ZERO
} else if fbits < F::Int::cast_from(uint_max_exp) << F::SIGNIFICAND_BITS {
// >= 1, < U::max
let mantissa = if U::BITS >= F::Int::BITS {
U::cast_from(fbits) << (U::BITS - F::SIGNIFICAND_BITS - 1)
} else {
// FIXME magic number for when we go smaller
U::cast_from(fbits >> 21)
};

// Set the implicit 1-bit.
let m: U = U::ONE << (U::BITS - 1) | mantissa;
// Shift based on the exponent and bias.
let s: u32 = (uint_max_exp - 1) - u32::cast_from(fbits >> F::SIGNIFICAND_BITS);

m >> s
} else if fbits <= F::EXPONENT_MASK {
// >= max (incl. inf)
U::MAX
} else {
U::ZERO
}
}

fn float_to_signed_int<F, I>(f: F) -> I
where
F: Float,
I: Int + Neg<Output = I>,
I::UnsignedInt: Int,
u32: CastFrom<F::Int>,
F::Int: CastInto<I::UnsignedInt>,
F::Int: CastFrom<u32>,
{
let int_max_exp: u32 = F::EXPONENT_BIAS + I::MAX.ilog2() + 1;
let fbits = f.repr() & !F::SIGN_MASK;

if fbits < F::ONE.repr() {
// >= 0.0, < 1.0 (< 0.0 are > 1.0 in int repr)
I::ZERO
} else if fbits < F::Int::cast_from(int_max_exp) << F::SIGNIFICAND_BITS {
// >= 1, < U::max
let mantissa = if I::BITS >= F::Int::BITS {
I::UnsignedInt::cast_from(fbits) << (I::BITS - F::SIGNIFICAND_BITS - 1)
} else {
I::UnsignedInt::cast_from(fbits >> 21)
};

// Set the implicit 1-bit.
let m: I::UnsignedInt = I::UnsignedInt::ONE << (I::BITS - 1) | mantissa;
// Shift based on the exponent and bias.
let s: u32 = int_max_exp - u32::cast_from(fbits >> F::SIGNIFICAND_BITS);
let u: I = I::from_unsigned(m >> s);
if f.is_sign_negative() {
-u
} else {
u
}
} else if fbits <= F::EXPONENT_MASK {
// >= max (incl. inf)
if f.is_sign_negative() {
I::MIN
} else {
I::MAX
}
} else {
I::ZERO
}
}

// Conversions from floats to unsigned integers.
intrinsics! {
#[arm_aeabi_alias = __aeabi_f2uiz]
pub extern "C" fn __fixunssfsi(f: f32) -> u32 {
let fbits = f.to_bits();
if fbits < 127 << 23 { // >= 0, < 1
0
} else if fbits < 159 << 23 { // >= 1, < max
let m = 1 << 31 | fbits << 8; // Mantissa and the implicit 1-bit.
let s = 158 - (fbits >> 23); // Shift based on the exponent and bias.
m >> s
} else if fbits <= 255 << 23 { // >= max (incl. inf)
u32::MAX
} else { // Negative or NaN
0
}
float_to_unsigned_int(f)
}

#[arm_aeabi_alias = __aeabi_f2ulz]
pub extern "C" fn __fixunssfdi(f: f32) -> u64 {
let fbits = f.to_bits();
if fbits < 127 << 23 { // >= 0, < 1
0
} else if fbits < 191 << 23 { // >= 1, < max
let m = 1 << 63 | (fbits as u64) << 40; // Mantissa and the implicit 1-bit.
let s = 190 - (fbits >> 23); // Shift based on the exponent and bias.
m >> s
} else if fbits <= 255 << 23 { // >= max (incl. inf)
u64::MAX
} else { // Negative or NaN
0
}
float_to_unsigned_int(f)
}

#[win64_128bit_abi_hack]
pub extern "C" fn __fixunssfti(f: f32) -> u128 {
let fbits = f.to_bits();
if fbits < 127 << 23 { // >= 0, < 1
0
} else if fbits < 255 << 23 { // >= 1, < inf
let m = 1 << 127 | (fbits as u128) << 104; // Mantissa and the implicit 1-bit.
let s = 254 - (fbits >> 23); // Shift based on the exponent and bias.
m >> s
} else if fbits == 255 << 23 { // == inf
u128::MAX
} else { // Negative or NaN
0
}
float_to_unsigned_int(f)
}

#[arm_aeabi_alias = __aeabi_d2uiz]
pub extern "C" fn __fixunsdfsi(f: f64) -> u32 {
let fbits = f.to_bits();
if fbits < 1023 << 52 { // >= 0, < 1
0
} else if fbits < 1055 << 52 { // >= 1, < max
let m = 1 << 31 | (fbits >> 21) as u32; // Mantissa and the implicit 1-bit.
let s = 1054 - (fbits >> 52); // Shift based on the exponent and bias.
m >> s
} else if fbits <= 2047 << 52 { // >= max (incl. inf)
u32::MAX
} else { // Negative or NaN
0
}
float_to_unsigned_int(f)
}

#[arm_aeabi_alias = __aeabi_d2ulz]
pub extern "C" fn __fixunsdfdi(f: f64) -> u64 {
let fbits = f.to_bits();
if fbits < 1023 << 52 { // >= 0, < 1
0
} else if fbits < 1087 << 52 { // >= 1, < max
let m = 1 << 63 | fbits << 11; // Mantissa and the implicit 1-bit.
let s = 1086 - (fbits >> 52); // Shift based on the exponent and bias.
m >> s
} else if fbits <= 2047 << 52 { // >= max (incl. inf)
u64::MAX
} else { // Negative or NaN
0
}
float_to_unsigned_int(f)
}

#[win64_128bit_abi_hack]
pub extern "C" fn __fixunsdfti(f: f64) -> u128 {
let fbits = f.to_bits();
if fbits < 1023 << 52 { // >= 0, < 1
0
} else if fbits < 1151 << 52 { // >= 1, < max
let m = 1 << 127 | (fbits as u128) << 75; // Mantissa and the implicit 1-bit.
let s = 1150 - (fbits >> 52); // Shift based on the exponent and bias.
m >> s
} else if fbits <= 2047 << 52 { // >= max (incl. inf)
u128::MAX
} else { // Negative or NaN
0
}
float_to_unsigned_int(f)
}
}

// Conversions from floats to signed integers.
intrinsics! {
#[arm_aeabi_alias = __aeabi_f2iz]
pub extern "C" fn __fixsfsi(f: f32) -> i32 {
let fbits = f.to_bits() & !0 >> 1; // Remove sign bit.
if fbits < 127 << 23 { // >= 0, < 1
0
} else if fbits < 158 << 23 { // >= 1, < max
let m = 1 << 31 | fbits << 8; // Mantissa and the implicit 1-bit.
let s = 158 - (fbits >> 23); // Shift based on the exponent and bias.
let u = (m >> s) as i32; // Unsigned result.
if f.is_sign_negative() { -u } else { u }
} else if fbits <= 255 << 23 { // >= max (incl. inf)
if f.is_sign_negative() { i32::MIN } else { i32::MAX }
} else { // NaN
0
}
float_to_signed_int(f)
}

#[arm_aeabi_alias = __aeabi_f2lz]
pub extern "C" fn __fixsfdi(f: f32) -> i64 {
let fbits = f.to_bits() & !0 >> 1; // Remove sign bit.
if fbits < 127 << 23 { // >= 0, < 1
0
} else if fbits < 190 << 23 { // >= 1, < max
let m = 1 << 63 | (fbits as u64) << 40; // Mantissa and the implicit 1-bit.
let s = 190 - (fbits >> 23); // Shift based on the exponent and bias.
let u = (m >> s) as i64; // Unsigned result.
if f.is_sign_negative() { -u } else { u }
} else if fbits <= 255 << 23 { // >= max (incl. inf)
if f.is_sign_negative() { i64::MIN } else { i64::MAX }
} else { // NaN
0
}
float_to_signed_int(f)
}

#[win64_128bit_abi_hack]
pub extern "C" fn __fixsfti(f: f32) -> i128 {
let fbits = f.to_bits() & !0 >> 1; // Remove sign bit.
if fbits < 127 << 23 { // >= 0, < 1
0
} else if fbits < 254 << 23 { // >= 1, < max
let m = 1 << 127 | (fbits as u128) << 104; // Mantissa and the implicit 1-bit.
let s = 254 - (fbits >> 23); // Shift based on the exponent and bias.
let u = (m >> s) as i128; // Unsigned result.
if f.is_sign_negative() { -u } else { u }
} else if fbits <= 255 << 23 { // >= max (incl. inf)
if f.is_sign_negative() { i128::MIN } else { i128::MAX }
} else { // NaN
0
}
float_to_signed_int(f)
}

#[arm_aeabi_alias = __aeabi_d2iz]
pub extern "C" fn __fixdfsi(f: f64) -> i32 {
let fbits = f.to_bits() & !0 >> 1; // Remove sign bit.
if fbits < 1023 << 52 { // >= 0, < 1
0
} else if fbits < 1054 << 52 { // >= 1, < max
let m = 1 << 31 | (fbits >> 21) as u32; // Mantissa and the implicit 1-bit.
let s = 1054 - (fbits >> 52); // Shift based on the exponent and bias.
let u = (m >> s) as i32; // Unsigned result.
if f.is_sign_negative() { -u } else { u }
} else if fbits <= 2047 << 52 { // >= max (incl. inf)
if f.is_sign_negative() { i32::MIN } else { i32::MAX }
} else { // NaN
0
}
float_to_signed_int(f)
}

#[arm_aeabi_alias = __aeabi_d2lz]
pub extern "C" fn __fixdfdi(f: f64) -> i64 {
let fbits = f.to_bits() & !0 >> 1; // Remove sign bit.
if fbits < 1023 << 52 { // >= 0, < 1
0
} else if fbits < 1086 << 52 { // >= 1, < max
let m = 1 << 63 | fbits << 11; // Mantissa and the implicit 1-bit.
let s = 1086 - (fbits >> 52); // Shift based on the exponent and bias.
let u = (m >> s) as i64; // Unsigned result.
if f.is_sign_negative() { -u } else { u }
} else if fbits <= 2047 << 52 { // >= max (incl. inf)
if f.is_sign_negative() { i64::MIN } else { i64::MAX }
} else { // NaN
0
}
float_to_signed_int(f)
}

#[win64_128bit_abi_hack]
pub extern "C" fn __fixdfti(f: f64) -> i128 {
let fbits = f.to_bits() & !0 >> 1; // Remove sign bit.
if fbits < 1023 << 52 { // >= 0, < 1
0
} else if fbits < 1150 << 52 { // >= 1, < max
let m = 1 << 127 | (fbits as u128) << 75; // Mantissa and the implicit 1-bit.
let s = 1150 - (fbits >> 52); // Shift based on the exponent and bias.
let u = (m >> s) as i128; // Unsigned result.
if f.is_sign_negative() { -u } else { u }
} else if fbits <= 2047 << 52 { // >= max (incl. inf)
if f.is_sign_negative() { i128::MIN } else { i128::MAX }
} else { // NaN
0
}
float_to_signed_int(f)
}
}
10 changes: 6 additions & 4 deletions src/float/mod.rs
Original file line number Diff line number Diff line change
Expand Up @@ -80,8 +80,8 @@ pub(crate) trait Float:
/// compared.
fn eq_repr(self, rhs: Self) -> bool;

/// Returns the sign bit
fn sign(self) -> bool;
/// Returns true if the sign is negative
fn is_sign_negative(self) -> bool;

/// Returns the exponent with bias
fn exp(self) -> Self::ExpInt;
Expand All @@ -103,6 +103,8 @@ pub(crate) trait Float:

/// Returns if `self` is subnormal
fn is_subnormal(self) -> bool;


}
}

Expand Down Expand Up @@ -150,8 +152,8 @@ macro_rules! float_impl {
self.repr() == rhs.repr()
}
}
fn sign(self) -> bool {
self.signed_repr() < Self::SignedInt::ZERO
fn is_sign_negative(self) -> bool {
self.is_sign_negative()
}
fn exp(self) -> Self::ExpInt {
((self.to_bits() & Self::EXPONENT_MASK) >> Self::SIGNIFICAND_BITS) as Self::ExpInt
Expand Down
15 changes: 15 additions & 0 deletions src/int/mod.rs
Original file line number Diff line number Diff line change
Expand Up @@ -102,6 +102,7 @@ pub(crate) trait Int: MinInt
fn rotate_left(self, other: u32) -> Self;
fn overflowing_add(self, other: Self) -> (Self, bool);
fn leading_zeros(self) -> u32;
fn ilog2(self) -> u32;
}
}

Expand Down Expand Up @@ -200,6 +201,10 @@ macro_rules! int_impl_common {
fn leading_zeros(self) -> u32 {
<Self>::leading_zeros(self)
}

fn ilog2(self) -> u32 {
<Self>::ilog2(self)
}
};
}

Expand Down Expand Up @@ -380,6 +385,16 @@ public_test_dep! {
pub(crate) trait CastInto<T: Copy>: Copy {
fn cast(self) -> T;
}

pub(crate) trait CastFrom<T: Copy>:Copy {
fn cast_from(value: T) -> Self;
}
}

impl<T: Copy, U: CastInto<T> + Copy> CastFrom<U> for T {
fn cast_from(value: U) -> Self {
value.cast()
}
}

macro_rules! cast_into {
Expand Down
4 changes: 4 additions & 0 deletions testcrate/tests/conv.rs
Original file line number Diff line number Diff line change
Expand Up @@ -118,6 +118,10 @@ fn float_to_int() {
__fixdfdi, __fixdfsi, __fixdfti, __fixsfdi, __fixsfsi, __fixsfti, __fixunsdfdi,
__fixunsdfsi, __fixunsdfti, __fixunssfdi, __fixunssfsi, __fixunssfti,
};
println!("bias {}", f32::EXPONENT_BIAS);
println!("bits {}", f32::SIGNIFICAND_BITS);
println!("bias {}", f64::EXPONENT_BIAS);
println!("bits {}", f64::SIGNIFICAND_BITS);

fuzz_float(N, |x: f32| {
f_to_i!(x,
Expand Down