-use crate::traits::{Context, Float};
+use crate::{
+ prim::{PrimFloat, PrimUInt},
+ traits::{Context, ConvertTo, Float, Make, Select, UInt},
+};
-pub fn abs_f16<Ctx: Context>(ctx: Ctx, x: Ctx::VecF16) -> Ctx::VecF16 {
- Ctx::VecF16::from_bits(x.to_bits() & ctx.make(0x7FFFu16))
+pub fn abs<
+ Ctx: Context,
+ VecF: Float<PrimFloat = PrimF> + Make<Context = Ctx>,
+ PrimF: PrimFloat<BitsType = PrimU>,
+ PrimU: PrimUInt,
+>(
+ ctx: Ctx,
+ x: VecF,
+) -> VecF {
+ VecF::from_bits(x.to_bits() & ctx.make(!PrimF::SIGN_FIELD_MASK))
}
-pub fn abs_f32<Ctx: Context>(ctx: Ctx, x: Ctx::VecF32) -> Ctx::VecF32 {
- Ctx::VecF32::from_bits(x.to_bits() & ctx.make(!(1u32 << 31)))
+pub fn copy_sign<
+ Ctx: Context,
+ VecF: Float<PrimFloat = PrimF> + Make<Context = Ctx>,
+ PrimF: PrimFloat<BitsType = PrimU>,
+ PrimU: PrimUInt,
+>(
+ ctx: Ctx,
+ mag: VecF,
+ sign: VecF,
+) -> VecF {
+ let mag_bits = mag.to_bits() & ctx.make(!PrimF::SIGN_FIELD_MASK);
+ let sign_bit = sign.to_bits() & ctx.make(PrimF::SIGN_FIELD_MASK);
+ VecF::from_bits(mag_bits | sign_bit)
}
-pub fn abs_f64<Ctx: Context>(ctx: Ctx, x: Ctx::VecF64) -> Ctx::VecF64 {
- Ctx::VecF64::from_bits(x.to_bits() & ctx.make(!(1u64 << 63)))
+pub fn trunc<
+ Ctx: Context,
+ VecF: Float<PrimFloat = PrimF, BitsType = VecU> + Make<Context = Ctx>,
+ VecU: UInt<PrimUInt = PrimU> + Make<Context = Ctx>,
+ PrimF: PrimFloat<BitsType = PrimU>,
+ PrimU: PrimUInt,
+>(
+ ctx: Ctx,
+ v: VecF,
+) -> VecF {
+ let big_limit: VecF = ctx.make(PrimF::IMPLICIT_MANTISSA_BIT.to());
+ let big = !v.abs().lt(big_limit); // use `lt` so nans are counted as big
+ let small = v.abs().lt(ctx.make(PrimF::cvt_from(1)));
+ let out_of_range = big | small;
+ let small_value = ctx.make::<VecF>(0.to()).copy_sign(v);
+ let out_of_range_value = small.select(small_value, v);
+ let exponent_field = v.extract_exponent_field();
+ let right_shift_amount: VecU = exponent_field - ctx.make(PrimF::EXPONENT_BIAS_UNSIGNED);
+ let mut mask: VecU = ctx.make(PrimF::MANTISSA_FIELD_MASK);
+ mask >>= right_shift_amount;
+ let in_range_value = VecF::from_bits(v.to_bits() & !mask);
+ out_of_range.select(out_of_range_value, in_range_value)
+}
+
+pub fn round_to_nearest_ties_to_even<
+ Ctx: Context,
+ VecF: Float<PrimFloat = PrimF, BitsType = VecU> + Make<Context = Ctx>,
+ VecU: UInt<PrimUInt = PrimU> + Make<Context = Ctx>,
+ PrimF: PrimFloat<BitsType = PrimU>,
+ PrimU: PrimUInt,
+>(
+ ctx: Ctx,
+ v: VecF,
+) -> VecF {
+ let big_limit: VecF = ctx.make(PrimF::IMPLICIT_MANTISSA_BIT.to());
+ let big = !v.abs().lt(big_limit); // use `lt` so nans are counted as big
+ let offset = ctx.make((PrimU::cvt_from(1) << PrimF::MANTISSA_FIELD_WIDTH).to());
+ let offset_value: VecF = v.abs() + offset;
+ let in_range_value = (offset_value - offset).copy_sign(v);
+ big.select(v, in_range_value)
+}
+
+pub fn floor<
+ Ctx: Context,
+ VecF: Float<PrimFloat = PrimF, BitsType = VecU> + Make<Context = Ctx>,
+ VecU: UInt<PrimUInt = PrimU> + Make<Context = Ctx>,
+ PrimF: PrimFloat<BitsType = PrimU>,
+ PrimU: PrimUInt,
+>(
+ ctx: Ctx,
+ v: VecF,
+) -> VecF {
+ let big_limit: VecF = ctx.make(PrimF::IMPLICIT_MANTISSA_BIT.to());
+ let big = !v.abs().lt(big_limit); // use `lt` so nans are counted as big
+ let offset = ctx.make((PrimU::cvt_from(1) << PrimF::MANTISSA_FIELD_WIDTH).to());
+ let offset_value: VecF = v.abs() + offset;
+ let rounded = (offset_value - offset).copy_sign(v);
+ let need_round_down = v.lt(rounded);
+ let in_range_value = need_round_down
+ .select(rounded - ctx.make(1.to()), rounded)
+ .copy_sign(v);
+ big.select(v, in_range_value)
+}
+
+pub fn ceil<
+ Ctx: Context,
+ VecF: Float<PrimFloat = PrimF, BitsType = VecU> + Make<Context = Ctx>,
+ VecU: UInt<PrimUInt = PrimU> + Make<Context = Ctx>,
+ PrimF: PrimFloat<BitsType = PrimU>,
+ PrimU: PrimUInt,
+>(
+ ctx: Ctx,
+ v: VecF,
+) -> VecF {
+ let big_limit: VecF = ctx.make(PrimF::IMPLICIT_MANTISSA_BIT.to());
+ let big = !v.abs().lt(big_limit); // use `lt` so nans are counted as big
+ let offset = ctx.make((PrimU::cvt_from(1) << PrimF::MANTISSA_FIELD_WIDTH).to());
+ let offset_value: VecF = v.abs() + offset;
+ let rounded = (offset_value - offset).copy_sign(v);
+ let need_round_up = v.gt(rounded);
+ let in_range_value = need_round_up
+ .select(rounded + ctx.make(1.to()), rounded)
+ .copy_sign(v);
+ big.select(v, in_range_value)
}
#[cfg(test)]
use super::*;
use crate::{
f16::F16,
+ prim::PrimSInt,
scalar::{Scalar, Value},
+ traits::ConvertFrom,
};
#[test]
for bits in 0..=u16::MAX {
let v = F16::from_bits(bits);
let expected = v.abs();
- let result = abs_f16(Scalar, Value(v)).0;
+ let result = abs(Scalar, Value(v)).0;
assert_eq!(expected.to_bits(), result.to_bits());
}
}
for bits in (0..=u32::MAX).step_by(10001) {
let v = f32::from_bits(bits);
let expected = v.abs();
- let result = abs_f32(Scalar, Value(v)).0;
+ let result = abs(Scalar, Value(v)).0;
assert_eq!(expected.to_bits(), result.to_bits());
}
}
for bits in (0..=u64::MAX).step_by(100_000_000_000_001) {
let v = f64::from_bits(bits);
let expected = v.abs();
- let result = abs_f64(Scalar, Value(v)).0;
+ let result = abs(Scalar, Value(v)).0;
+ assert_eq!(expected.to_bits(), result.to_bits());
+ }
+ }
+
+ #[test]
+ #[cfg_attr(
+ not(feature = "f16"),
+ should_panic(expected = "f16 feature is not enabled")
+ )]
+ fn test_copy_sign_f16() {
+ #[track_caller]
+ fn check(mag_bits: u16, sign_bits: u16) {
+ let mag = F16::from_bits(mag_bits);
+ let sign = F16::from_bits(sign_bits);
+ let expected = mag.copysign(sign);
+ let result = copy_sign(Scalar, Value(mag), Value(sign)).0;
assert_eq!(expected.to_bits(), result.to_bits());
}
+ for mag_low_bits in 0..16 {
+ for mag_high_bits in 0..16 {
+ for sign_low_bits in 0..16 {
+ for sign_high_bits in 0..16 {
+ check(
+ mag_low_bits | (mag_high_bits << (16 - 4)),
+ sign_low_bits | (sign_high_bits << (16 - 4)),
+ );
+ }
+ }
+ }
+ }
+ }
+
+ #[test]
+ fn test_copy_sign_f32() {
+ #[track_caller]
+ fn check(mag_bits: u32, sign_bits: u32) {
+ let mag = f32::from_bits(mag_bits);
+ let sign = f32::from_bits(sign_bits);
+ let expected = mag.copysign(sign);
+ let result = copy_sign(Scalar, Value(mag), Value(sign)).0;
+ assert_eq!(expected.to_bits(), result.to_bits());
+ }
+ for mag_low_bits in 0..16 {
+ for mag_high_bits in 0..16 {
+ for sign_low_bits in 0..16 {
+ for sign_high_bits in 0..16 {
+ check(
+ mag_low_bits | (mag_high_bits << (32 - 4)),
+ sign_low_bits | (sign_high_bits << (32 - 4)),
+ );
+ }
+ }
+ }
+ }
+ }
+
+ #[test]
+ fn test_copy_sign_f64() {
+ #[track_caller]
+ fn check(mag_bits: u64, sign_bits: u64) {
+ let mag = f64::from_bits(mag_bits);
+ let sign = f64::from_bits(sign_bits);
+ let expected = mag.copysign(sign);
+ let result = copy_sign(Scalar, Value(mag), Value(sign)).0;
+ assert_eq!(expected.to_bits(), result.to_bits());
+ }
+ for mag_low_bits in 0..16 {
+ for mag_high_bits in 0..16 {
+ for sign_low_bits in 0..16 {
+ for sign_high_bits in 0..16 {
+ check(
+ mag_low_bits | (mag_high_bits << (64 - 4)),
+ sign_low_bits | (sign_high_bits << (64 - 4)),
+ );
+ }
+ }
+ }
+ }
+ }
+
+ fn same<F: PrimFloat>(a: F, b: F) -> bool {
+ if a.is_finite() && b.is_finite() {
+ a.to_bits() == b.to_bits()
+ } else {
+ a == b || (a.is_nan() && b.is_nan())
+ }
+ }
+
+ #[test]
+ #[cfg_attr(
+ not(feature = "f16"),
+ should_panic(expected = "f16 feature is not enabled")
+ )]
+ fn test_trunc_f16() {
+ for bits in 0..=u16::MAX {
+ let v = F16::from_bits(bits);
+ let expected = v.trunc();
+ let result = trunc(Scalar, Value(v)).0;
+ assert!(
+ same(expected, result),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
+ }
+
+ #[test]
+ fn test_trunc_f32() {
+ for bits in (0..=u32::MAX).step_by(0x10000) {
+ let v = f32::from_bits(bits);
+ let expected = v.trunc();
+ let result = trunc(Scalar, Value(v)).0;
+ assert!(
+ same(expected, result),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
+ }
+
+ #[test]
+ fn test_trunc_f64() {
+ for bits in (0..=u64::MAX).step_by(1 << 48) {
+ let v = f64::from_bits(bits);
+ let expected = v.trunc();
+ let result = trunc(Scalar, Value(v)).0;
+ assert!(
+ same(expected, result),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
+ }
+
+ fn reference_round_to_nearest_ties_to_even<
+ F: PrimFloat<BitsType = U, SignedBitsType = S>,
+ U: PrimUInt,
+ S: PrimSInt + ConvertFrom<F>,
+ >(
+ v: F,
+ ) -> F {
+ if v.abs() < F::cvt_from(S::MAX) {
+ let int_value: S = v.to();
+ let int_value_f: F = int_value.to();
+ let remainder: F = v - int_value_f;
+ if remainder.abs() < 0.5.to()
+ || (int_value % 2.to() == 0.to() && remainder.abs() == 0.5.to())
+ {
+ int_value_f.copy_sign(v)
+ } else if remainder < 0.0.to() {
+ int_value_f - 1.0.to()
+ } else {
+ int_value_f + 1.0.to()
+ }
+ } else {
+ v
+ }
+ }
+
+ #[test]
+ fn test_reference_round_to_nearest_ties_to_even() {
+ #[track_caller]
+ fn case(v: f32, expected: f32) {
+ let result = reference_round_to_nearest_ties_to_even(v);
+ assert!(
+ same(result, expected),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
+ case(0.0, 0.0);
+ case(-0.0, -0.0);
+ case(0.499, 0.0);
+ case(-0.499, -0.0);
+ case(0.5, 0.0);
+ case(-0.5, -0.0);
+ case(0.501, 1.0);
+ case(-0.501, -1.0);
+ case(1.0, 1.0);
+ case(-1.0, -1.0);
+ case(1.499, 1.0);
+ case(-1.499, -1.0);
+ case(1.5, 2.0);
+ case(-1.5, -2.0);
+ case(1.501, 2.0);
+ case(-1.501, -2.0);
+ case(2.0, 2.0);
+ case(-2.0, -2.0);
+ case(2.499, 2.0);
+ case(-2.499, -2.0);
+ case(2.5, 2.0);
+ case(-2.5, -2.0);
+ case(2.501, 3.0);
+ case(-2.501, -3.0);
+ case(f32::INFINITY, f32::INFINITY);
+ case(-f32::INFINITY, -f32::INFINITY);
+ case(f32::NAN, f32::NAN);
+ case(1e30, 1e30);
+ case(-1e30, -1e30);
+ let i32_max = i32::MAX as f32;
+ let i32_max_prev = f32::from_bits(i32_max.to_bits() - 1);
+ let i32_max_next = f32::from_bits(i32_max.to_bits() + 1);
+ case(i32_max, i32_max);
+ case(-i32_max, -i32_max);
+ case(i32_max_prev, i32_max_prev);
+ case(-i32_max_prev, -i32_max_prev);
+ case(i32_max_next, i32_max_next);
+ case(-i32_max_next, -i32_max_next);
+ }
+
+ #[test]
+ #[cfg_attr(
+ not(feature = "f16"),
+ should_panic(expected = "f16 feature is not enabled")
+ )]
+ fn test_round_to_nearest_ties_to_even_f16() {
+ for bits in 0..=u16::MAX {
+ let v = F16::from_bits(bits);
+ let expected = reference_round_to_nearest_ties_to_even(v);
+ let result = round_to_nearest_ties_to_even(Scalar, Value(v)).0;
+ assert!(
+ same(result, expected),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
+ }
+
+ #[test]
+ fn test_round_to_nearest_ties_to_even_f32() {
+ for bits in (0..=u32::MAX).step_by(0x10000) {
+ let v = f32::from_bits(bits);
+ let expected = reference_round_to_nearest_ties_to_even(v);
+ let result = round_to_nearest_ties_to_even(Scalar, Value(v)).0;
+ assert!(
+ same(result, expected),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
+ }
+
+ #[test]
+ fn test_round_to_nearest_ties_to_even_f64() {
+ for bits in (0..=u64::MAX).step_by(1 << 48) {
+ let v = f64::from_bits(bits);
+ let expected = reference_round_to_nearest_ties_to_even(v);
+ let result = round_to_nearest_ties_to_even(Scalar, Value(v)).0;
+ assert!(
+ same(result, expected),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
+ }
+
+ #[test]
+ #[cfg_attr(
+ not(feature = "f16"),
+ should_panic(expected = "f16 feature is not enabled")
+ )]
+ fn test_floor_f16() {
+ for bits in 0..=u16::MAX {
+ let v = F16::from_bits(bits);
+ let expected = v.floor();
+ let result = floor(Scalar, Value(v)).0;
+ assert!(
+ same(expected, result),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
+ }
+
+ #[test]
+ fn test_floor_f32() {
+ for bits in (0..=u32::MAX).step_by(0x10000) {
+ let v = f32::from_bits(bits);
+ let expected = v.floor();
+ let result = floor(Scalar, Value(v)).0;
+ assert!(
+ same(expected, result),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
+ }
+
+ #[test]
+ fn test_floor_f64() {
+ for bits in (0..=u64::MAX).step_by(1 << 48) {
+ let v = f64::from_bits(bits);
+ let expected = v.floor();
+ let result = floor(Scalar, Value(v)).0;
+ assert!(
+ same(expected, result),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
+ }
+
+ #[test]
+ #[cfg_attr(
+ not(feature = "f16"),
+ should_panic(expected = "f16 feature is not enabled")
+ )]
+ fn test_ceil_f16() {
+ for bits in 0..=u16::MAX {
+ let v = F16::from_bits(bits);
+ let expected = v.ceil();
+ let result = ceil(Scalar, Value(v)).0;
+ assert!(
+ same(expected, result),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
+ }
+
+ #[test]
+ fn test_ceil_f32() {
+ for bits in (0..=u32::MAX).step_by(0x10000) {
+ let v = f32::from_bits(bits);
+ let expected = v.ceil();
+ let result = ceil(Scalar, Value(v)).0;
+ assert!(
+ same(expected, result),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
+ }
+
+ #[test]
+ fn test_ceil_f64() {
+ for bits in (0..=u64::MAX).step_by(1 << 48) {
+ let v = f64::from_bits(bits);
+ let expected = v.ceil();
+ let result = ceil(Scalar, Value(v)).0;
+ assert!(
+ same(expected, result),
+ "case failed: v={v}, v_bits={v_bits:#X}, expected={expected}, expected_bits={expected_bits:#X}, result={result}, result_bits={result_bits:#X}",
+ v=v,
+ v_bits=v.to_bits(),
+ expected=expected,
+ expected_bits=expected.to_bits(),
+ result=result,
+ result_bits=result.to_bits(),
+ );
+ }
}
}
projects / vector-math.git / blobdiff