use super::*;
pick! {
if #[cfg(target_feature="sse")] {
#[derive(Default, Clone, Copy, PartialEq)]
#[repr(C, align(16))]
pub struct f32x4 { sse: m128 }
} else {
#[derive(Default, Clone, Copy, PartialEq)]
#[repr(C, align(16))]
pub struct f32x4 { arr: [f32;4] }
}
}
macro_rules! const_f32_as_f32x4 {
($i:ident, $f:expr) => {
pub const $i: f32x4 =
unsafe { ConstUnionHack128bit { f32a4: [$f, $f, $f, $f] }.f32x4 };
};
}
macro_rules! polynomial_2 {
($x:expr, $c0:expr, $c1:expr, $c2:expr $(,)?) => {{
let x = $x;
let x2 = x * x;
x2.mul_add($c2, x.mul_add($c1, $c0))
}};
}
impl f32x4 {
const_f32_as_f32x4!(E, core::f32::consts::E);
const_f32_as_f32x4!(FRAC_1_PI, core::f32::consts::FRAC_1_PI);
const_f32_as_f32x4!(FRAC_2_PI, core::f32::consts::FRAC_2_PI);
const_f32_as_f32x4!(FRAC_2_SQRT_PI, core::f32::consts::FRAC_2_SQRT_PI);
const_f32_as_f32x4!(FRAC_1_SQRT_2, core::f32::consts::FRAC_1_SQRT_2);
const_f32_as_f32x4!(FRAC_PI_2, core::f32::consts::FRAC_PI_2);
const_f32_as_f32x4!(FRAC_PI_3, core::f32::consts::FRAC_PI_3);
const_f32_as_f32x4!(FRAC_PI_4, core::f32::consts::FRAC_PI_4);
const_f32_as_f32x4!(FRAC_PI_6, core::f32::consts::FRAC_PI_6);
const_f32_as_f32x4!(FRAC_PI_8, core::f32::consts::FRAC_PI_8);
const_f32_as_f32x4!(LN_2, core::f32::consts::LN_2);
const_f32_as_f32x4!(LN_10, core::f32::consts::LN_10);
const_f32_as_f32x4!(LOG2_E, core::f32::consts::LOG2_E);
const_f32_as_f32x4!(LOG10_E, core::f32::consts::LOG10_E);
const_f32_as_f32x4!(LOG10_2, core::f32::consts::LOG10_2);
const_f32_as_f32x4!(LOG2_10, core::f32::consts::LOG2_10);
const_f32_as_f32x4!(PI, core::f32::consts::PI);
const_f32_as_f32x4!(SQRT_2, core::f32::consts::SQRT_2);
const_f32_as_f32x4!(TAU, 6.28318530717958647692528676655900577_f32);
}
unsafe impl Zeroable for f32x4 {}
unsafe impl Pod for f32x4 {}
impl Add for f32x4 {
type Output = Self;
#[inline]
#[must_use]
fn add(self, rhs: Self) -> Self::Output {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: add_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
self.arr[0] + rhs.arr[0],
self.arr[1] + rhs.arr[1],
self.arr[2] + rhs.arr[2],
self.arr[3] + rhs.arr[3],
]}
}
}
}
}
impl Sub for f32x4 {
type Output = Self;
#[inline]
#[must_use]
fn sub(self, rhs: Self) -> Self::Output {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: sub_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
self.arr[0] - rhs.arr[0],
self.arr[1] - rhs.arr[1],
self.arr[2] - rhs.arr[2],
self.arr[3] - rhs.arr[3],
]}
}
}
}
}
impl Mul for f32x4 {
type Output = Self;
#[inline]
#[must_use]
fn mul(self, rhs: Self) -> Self::Output {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: mul_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
self.arr[0] * rhs.arr[0],
self.arr[1] * rhs.arr[1],
self.arr[2] * rhs.arr[2],
self.arr[3] * rhs.arr[3],
]}
}
}
}
}
impl Div for f32x4 {
type Output = Self;
#[inline]
#[must_use]
fn div(self, rhs: Self) -> Self::Output {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: div_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
self.arr[0] / rhs.arr[0],
self.arr[1] / rhs.arr[1],
self.arr[2] / rhs.arr[2],
self.arr[3] / rhs.arr[3],
]}
}
}
}
}
impl BitAnd for f32x4 {
type Output = Self;
#[inline]
#[must_use]
fn bitand(self, rhs: Self) -> Self::Output {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: bitand_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
f32::from_bits(self.arr[0].to_bits() & rhs.arr[0].to_bits()),
f32::from_bits(self.arr[1].to_bits() & rhs.arr[1].to_bits()),
f32::from_bits(self.arr[2].to_bits() & rhs.arr[2].to_bits()),
f32::from_bits(self.arr[3].to_bits() & rhs.arr[3].to_bits()),
]}
}
}
}
}
impl BitOr for f32x4 {
type Output = Self;
#[inline]
#[must_use]
fn bitor(self, rhs: Self) -> Self::Output {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: bitor_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
f32::from_bits(self.arr[0].to_bits() | rhs.arr[0].to_bits()),
f32::from_bits(self.arr[1].to_bits() | rhs.arr[1].to_bits()),
f32::from_bits(self.arr[2].to_bits() | rhs.arr[2].to_bits()),
f32::from_bits(self.arr[3].to_bits() | rhs.arr[3].to_bits()),
]}
}
}
}
}
impl BitXor for f32x4 {
type Output = Self;
#[inline]
#[must_use]
fn bitxor(self, rhs: Self) -> Self::Output {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: bitxor_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
f32::from_bits(self.arr[0].to_bits() ^ rhs.arr[0].to_bits()),
f32::from_bits(self.arr[1].to_bits() ^ rhs.arr[1].to_bits()),
f32::from_bits(self.arr[2].to_bits() ^ rhs.arr[2].to_bits()),
f32::from_bits(self.arr[3].to_bits() ^ rhs.arr[3].to_bits()),
]}
}
}
}
}
impl f32x4 {
#[inline]
#[must_use]
pub fn cmp_eq(self, rhs: Self) -> Self {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: cmp_eq_mask_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
if self.arr[0] == rhs.arr[0] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[1] == rhs.arr[1] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[2] == rhs.arr[2] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[3] == rhs.arr[3] { f32::from_bits(u32::MAX) } else { 0.0 },
]}
}
}
}
#[inline]
#[must_use]
pub fn cmp_ne(self, rhs: Self) -> Self {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: cmp_neq_mask_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
if self.arr[0] != rhs.arr[0] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[1] != rhs.arr[1] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[2] != rhs.arr[2] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[3] != rhs.arr[3] { f32::from_bits(u32::MAX) } else { 0.0 },
]}
}
}
}
#[inline]
#[must_use]
pub fn cmp_ge(self, rhs: Self) -> Self {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: cmp_ge_mask_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
if self.arr[0] >= rhs.arr[0] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[1] >= rhs.arr[1] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[2] >= rhs.arr[2] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[3] >= rhs.arr[3] { f32::from_bits(u32::MAX) } else { 0.0 },
]}
}
}
}
#[inline]
#[must_use]
pub fn cmp_gt(self, rhs: Self) -> Self {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: cmp_gt_mask_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
if self.arr[0] > rhs.arr[0] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[1] > rhs.arr[1] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[2] > rhs.arr[2] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[3] > rhs.arr[3] { f32::from_bits(u32::MAX) } else { 0.0 },
]}
}
}
}
#[inline]
#[must_use]
pub fn cmp_le(self, rhs: Self) -> Self {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: cmp_le_mask_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
if self.arr[0] <= rhs.arr[0] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[1] <= rhs.arr[1] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[2] <= rhs.arr[2] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[3] <= rhs.arr[3] { f32::from_bits(u32::MAX) } else { 0.0 },
]}
}
}
}
#[inline]
#[must_use]
pub fn cmp_lt(self, rhs: Self) -> Self {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: cmp_lt_mask_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
if self.arr[0] < rhs.arr[0] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[1] < rhs.arr[1] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[2] < rhs.arr[2] { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[3] < rhs.arr[3] { f32::from_bits(u32::MAX) } else { 0.0 },
]}
}
}
}
#[inline]
#[must_use]
pub fn blend(self, t: Self, f: Self) -> Self {
pick! {
if #[cfg(target_feature="sse4.1")] {
Self { sse: blend_varying_m128(f.sse, t.sse, self.sse) }
} else {
generic_bit_blend(self, t, f)
}
}
}
#[inline]
#[must_use]
pub fn abs(self) -> Self {
let non_sign_bits = f32x4::from(f32::from_bits(i32::MAX as u32));
self & non_sign_bits
}
#[inline]
#[must_use]
pub fn max(self, rhs: Self) -> Self {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: max_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
self.arr[0].max(rhs.arr[0]),
self.arr[1].max(rhs.arr[1]),
self.arr[2].max(rhs.arr[2]),
self.arr[3].max(rhs.arr[3]),
]}
}
}
}
#[inline]
#[must_use]
pub fn min(self, rhs: Self) -> Self {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: min_m128(self.sse, rhs.sse) }
} else {
Self { arr: [
self.arr[0].min(rhs.arr[0]),
self.arr[1].min(rhs.arr[1]),
self.arr[2].min(rhs.arr[2]),
self.arr[3].min(rhs.arr[3]),
]}
}
}
}
#[inline]
#[must_use]
pub fn is_nan(self) -> Self {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: cmp_unord_mask_m128(self.sse, self.sse) }
} else {
Self { arr: [
if self.arr[0].is_nan() { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[1].is_nan() { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[2].is_nan() { f32::from_bits(u32::MAX) } else { 0.0 },
if self.arr[3].is_nan() { f32::from_bits(u32::MAX) } else { 0.0 },
]}
}
}
}
#[inline]
#[must_use]
pub fn is_finite(self) -> Self {
let shifted_exp_mask = u32x4::from(0xFF000000);
let u: u32x4 = cast(self);
let shift_u = u << 1_u64;
let out = !(shift_u & shifted_exp_mask).cmp_eq(shifted_exp_mask);
cast(out)
}
#[inline]
#[must_use]
pub fn round(self) -> Self {
pick! {
if #[cfg(target_feature="sse4.1")] {
Self { sse: round_m128!(self.sse, Nearest) }
} else if #[cfg(target_feature="sse2")] {
let mi: m128i = convert_to_i32_m128i_from_m128(self.sse);
let f: f32x4 = f32x4 { sse: convert_to_m128_from_i32_m128i(mi) };
let i: i32x4 = cast(mi);
let mask: f32x4 = cast(i.cmp_eq(i32x4::from(0x80000000_u32 as i32)));
mask.blend(self, f)
} else {
let to_int = f32x4::from(1.0 / f32::EPSILON);
let u: u32x4 = cast(self);
let e: i32x4 = cast((u >> 23) & u32x4::from(0xff));
let mut y: f32x4;
let no_op_magic = i32x4::from(0x7f + 23);
let no_op_mask: f32x4 = cast(e.cmp_gt(no_op_magic) | e.cmp_eq(no_op_magic));
let no_op_val: f32x4 = self;
let zero_magic = i32x4::from(0x7f - 1);
let zero_mask: f32x4 = cast(e.cmp_lt(zero_magic));
let zero_val: f32x4 = self * f32x4::from(0.0);
let neg_bit: f32x4 = cast(cast::<u32x4, i32x4>(u).cmp_lt(i32x4::default()));
let x: f32x4 = neg_bit.blend(-self, self);
y = x + to_int - to_int - x;
y = y.cmp_gt(f32x4::from(0.5)).blend(
y + x - f32x4::from(-1.0),
y.cmp_lt(f32x4::from(-0.5)).blend(y + x + f32x4::from(1.0), y + x),
);
y = neg_bit.blend(-y, y);
no_op_mask.blend(no_op_val, zero_mask.blend(zero_val, y))
}
}
}
#[inline]
#[must_use]
pub fn round_int(self) -> i32x4 {
pick! {
if #[cfg(target_feature="sse2")] {
cast(convert_to_i32_m128i_from_m128(self.sse))
} else {
let rounded: [f32;4] = cast(self.round());
let rounded_ints: i32x4 = cast([
rounded[0] as i32,
rounded[1] as i32,
rounded[2] as i32,
rounded[3] as i32,
]);
cast::<f32x4, i32x4>(self.is_finite()).blend(
rounded_ints,
i32x4::from(i32::MIN)
)
}
}
}
#[inline]
#[must_use]
pub fn mul_add(self, m: Self, a: Self) -> Self {
pick! {
if #[cfg(all(target_feature="sse2",target_feature="fma"))] {
Self { sse: fused_mul_add_m128(self.sse, m.sse, a.sse) }
} else {
(self * m) + a
}
}
}
#[inline]
#[must_use]
pub fn mul_neg_add(self, m: Self, a: Self) -> Self {
pick! {
if #[cfg(all(target_feature="sse2",target_feature="fma"))] {
Self { sse: fused_mul_neg_add_m128(self.sse, m.sse, a.sse) }
} else {
a - (self * m)
}
}
}
#[inline]
#[must_use]
pub fn flip_signs(self, signs: Self) -> Self {
self ^ (signs & Self::from(-0.0))
}
#[inline]
#[must_use]
#[allow(non_upper_case_globals)]
pub fn sin_cos(self) -> (Self, Self) {
const_f32_as_f32x4!(DP1F, 0.78515625_f32 * 2.0);
const_f32_as_f32x4!(DP2F, 2.4187564849853515625E-4_f32 * 2.0);
const_f32_as_f32x4!(DP3F, 3.77489497744594108E-8_f32 * 2.0);
const_f32_as_f32x4!(P0sinf, -1.6666654611E-1);
const_f32_as_f32x4!(P1sinf, 8.3321608736E-3);
const_f32_as_f32x4!(P2sinf, -1.9515295891E-4);
const_f32_as_f32x4!(P0cosf, 4.166664568298827E-2);
const_f32_as_f32x4!(P1cosf, -1.388731625493765E-3);
const_f32_as_f32x4!(P2cosf, 2.443315711809948E-5);
const_f32_as_f32x4!(TWO_OVER_PI, 2.0 / core::f32::consts::PI);
let xa = self.abs();
let y = (xa * TWO_OVER_PI).round();
let q: i32x4 = y.round_int();
let x = y.mul_neg_add(DP3F, y.mul_neg_add(DP2F, y.mul_neg_add(DP1F, xa)));
let x2 = x * x;
let mut s = polynomial_2!(x2, P0sinf, P1sinf, P2sinf) * (x * x2) + x;
let mut c = polynomial_2!(x2, P0cosf, P1cosf, P2cosf) * (x2 * x2)
+ f32x4::from(0.5).mul_neg_add(x2, f32x4::from(1.0));
let swap = !(q & i32x4::from(1)).cmp_eq(i32x4::from(0));
let mut overflow: f32x4 = cast(q.cmp_gt(i32x4::from(0x2000000)));
overflow &= xa.is_finite();
s = overflow.blend(f32x4::from(0.0), s);
c = overflow.blend(f32x4::from(1.0), c);
let mut sin1 = cast::<_, f32x4>(swap).blend(c, s);
let sign_sin: i32x4 = (q << 30) ^ cast::<_, i32x4>(self);
sin1 = sin1.flip_signs(cast(sign_sin));
let mut cos1 = cast::<_, f32x4>(swap).blend(s, c);
let sign_cos: i32x4 = ((q + i32x4::from(1)) & i32x4::from(2)) << 30;
cos1 ^= cast::<_, f32x4>(sign_cos);
(sin1, cos1)
}
#[inline]
#[must_use]
pub fn sin(self) -> Self {
let (s, _) = self.sin_cos();
s
}
#[inline]
#[must_use]
pub fn cos(self) -> Self {
let (_, c) = self.sin_cos();
c
}
#[inline]
#[must_use]
pub fn tan(self) -> Self {
let (s, c) = self.sin_cos();
s / c
}
#[inline]
#[must_use]
pub fn to_degrees(self) -> Self {
const_f32_as_f32x4!(RAD_TO_DEG_RATIO, 180.0_f32 / core::f32::consts::PI);
self * RAD_TO_DEG_RATIO
}
#[inline]
#[must_use]
pub fn to_radians(self) -> Self {
const_f32_as_f32x4!(DEG_TO_RAD_RATIO, core::f32::consts::PI / 180.0_f32);
self * DEG_TO_RAD_RATIO
}
#[inline]
#[must_use]
pub fn sqrt(self) -> Self {
pick! {
if #[cfg(target_feature="sse")] {
Self { sse: sqrt_m128(self.sse) }
} else {
Self { arr: [
software_sqrt(self.arr[0] as f64) as f32,
software_sqrt(self.arr[1] as f64) as f32,
software_sqrt(self.arr[2] as f64) as f32,
software_sqrt(self.arr[3] as f64) as f32,
]}
}
}
}
#[inline]
#[must_use]
pub fn move_mask(self) -> i32 {
pick! {
if #[cfg(target_feature="sse")] {
move_mask_m128(self.sse)
} else {
(((self.arr[0].to_bits() as i32) < 0) as i32) << 0 |
(((self.arr[1].to_bits() as i32) < 0) as i32) << 1 |
(((self.arr[2].to_bits() as i32) < 0) as i32) << 2 |
(((self.arr[3].to_bits() as i32) < 0) as i32) << 3
}
}
}
}