numeric.rs

// Licensed to the Apache Software Foundation (ASF) under one
// or more contributor license agreements.  See the NOTICE file
// distributed with this work for additional information
// regarding copyright ownership.  The ASF licenses this file
// to you under the Apache License, Version 2.0 (the
// "License"); you may not use this file except in compliance
// with the License.  You may obtain a copy of the License at
//
//   http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing,
// software distributed under the License is distributed on an
// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
// KIND, either express or implied.  See the License for the
// specific language governing permissions and limitations
// under the License.

use crate::types::*;
use crate::ArrowPrimitiveType;
#[cfg(feature = "simd")]
use packed_simd::*;
#[cfg(feature = "simd")]
use std::ops::{Add, BitAnd, BitAndAssign, BitOr, BitOrAssign, Div, Mul, Not, Rem, Sub};

/// A subtype of primitive type that represents numeric values.
///
/// SIMD operations are defined in this trait if available on the target system.
#[cfg(feature = "simd")]
pub trait ArrowNumericType: ArrowPrimitiveType
where
    Self::Simd: Add<Output = Self::Simd>
        + Sub<Output = Self::Simd>
        + Mul<Output = Self::Simd>
        + Div<Output = Self::Simd>
        + Rem<Output = Self::Simd>
        + Copy,
    Self::SimdMask: BitAnd<Output = Self::SimdMask>
        + BitOr<Output = Self::SimdMask>
        + BitAndAssign
        + BitOrAssign
        + Not<Output = Self::SimdMask>
        + Copy,
{
    /// Defines the SIMD type that should be used for this numeric type
    type Simd;

    /// Defines the SIMD Mask type that should be used for this numeric type
    type SimdMask;

    /// The number of SIMD lanes available
    fn lanes() -> usize;

    /// Initializes a SIMD register to a constant value
    fn init(value: Self::Native) -> Self::Simd;

    /// Loads a slice into a SIMD register
    fn load(slice: &[Self::Native]) -> Self::Simd;

    /// Creates a new SIMD mask for this SIMD type filling it with `value`
    fn mask_init(value: bool) -> Self::SimdMask;

    /// Creates a new SIMD mask for this SIMD type from the lower-most bits of the given `mask`.
    /// The number of bits used corresponds to the number of lanes of this type
    fn mask_from_u64(mask: u64) -> Self::SimdMask;

    /// Creates a bitmask from the given SIMD mask.
    /// Each bit corresponds to one vector lane, starting with the least-significant bit.
    fn mask_to_u64(mask: &Self::SimdMask) -> u64;

    /// Gets the value of a single lane in a SIMD mask
    fn mask_get(mask: &Self::SimdMask, idx: usize) -> bool;

    /// Sets the value of a single lane of a SIMD mask
    fn mask_set(mask: Self::SimdMask, idx: usize, value: bool) -> Self::SimdMask;

    /// Selects elements of `a` and `b` using `mask`
    fn mask_select(mask: Self::SimdMask, a: Self::Simd, b: Self::Simd) -> Self::Simd;

    /// Returns `true` if any of the lanes in the mask are `true`
    fn mask_any(mask: Self::SimdMask) -> bool;

    /// Performs a SIMD binary operation
    fn bin_op<F: Fn(Self::Simd, Self::Simd) -> Self::Simd>(
        left: Self::Simd,
        right: Self::Simd,
        op: F,
    ) -> Self::Simd;

    /// SIMD version of equal
    fn eq(left: Self::Simd, right: Self::Simd) -> Self::SimdMask;

    /// SIMD version of not equal
    fn ne(left: Self::Simd, right: Self::Simd) -> Self::SimdMask;

    /// SIMD version of less than
    fn lt(left: Self::Simd, right: Self::Simd) -> Self::SimdMask;

    /// SIMD version of less than or equal to
    fn le(left: Self::Simd, right: Self::Simd) -> Self::SimdMask;

    /// SIMD version of greater than
    fn gt(left: Self::Simd, right: Self::Simd) -> Self::SimdMask;

    /// SIMD version of greater than or equal to
    fn ge(left: Self::Simd, right: Self::Simd) -> Self::SimdMask;

    /// Writes a SIMD result back to a slice
    fn write(simd_result: Self::Simd, slice: &mut [Self::Native]);

    /// Performs a SIMD unary operation
    fn unary_op<F: Fn(Self::Simd) -> Self::Simd>(a: Self::Simd, op: F) -> Self::Simd;
}

/// A subtype of primitive type that represents numeric values.
#[cfg(not(feature = "simd"))]
pub trait ArrowNumericType: ArrowPrimitiveType {}

macro_rules! make_numeric_type {
    ($impl_ty:ty, $native_ty:ty, $simd_ty:ident, $simd_mask_ty:ident) => {
        #[cfg(feature = "simd")]
        impl ArrowNumericType for $impl_ty {
            type Simd = $simd_ty;

            type SimdMask = $simd_mask_ty;

            #[inline]
            fn lanes() -> usize {
                Self::Simd::lanes()
            }

            #[inline]
            fn init(value: Self::Native) -> Self::Simd {
                Self::Simd::splat(value)
            }

            #[inline]
            fn load(slice: &[Self::Native]) -> Self::Simd {
                unsafe { Self::Simd::from_slice_unaligned_unchecked(slice) }
            }

            #[inline]
            fn mask_init(value: bool) -> Self::SimdMask {
                Self::SimdMask::splat(value)
            }

            #[inline]
            fn mask_from_u64(mask: u64) -> Self::SimdMask {
                // this match will get removed by the compiler since the number of lanes is known at
                // compile-time for each concrete numeric type
                match Self::lanes() {
                    4 => {
                        // the bit position in each lane indicates the index of that lane
                        let vecidx = i128x4::new(1, 2, 4, 8);

                        // broadcast the lowermost 8 bits of mask to each lane
                        let vecmask = i128x4::splat((mask & 0x0F) as i128);
                        // compute whether the bit corresponding to each lanes index is set
                        let vecmask = (vecidx & vecmask).eq(vecidx);

                        // transmute is necessary because the different match arms return different
                        // mask types, at runtime only one of those expressions will exist per type,
                        // with the type being equal to `SimdMask`.
                        unsafe { std::mem::transmute(vecmask) }
                    }
                    8 => {
                        // the bit position in each lane indicates the index of that lane
                        let vecidx = i64x8::new(1, 2, 4, 8, 16, 32, 64, 128);

                        // broadcast the lowermost 8 bits of mask to each lane
                        let vecmask = i64x8::splat((mask & 0xFF) as i64);
                        // compute whether the bit corresponding to each lanes index is set
                        let vecmask = (vecidx & vecmask).eq(vecidx);

                        // transmute is necessary because the different match arms return different
                        // mask types, at runtime only one of those expressions will exist per type,
                        // with the type being equal to `SimdMask`.
                        unsafe { std::mem::transmute(vecmask) }
                    }
                    16 => {
                        // same general logic as for 8 lanes, extended to 16 bits
                        let vecidx = i32x16::new(
                            1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096,
                            8192, 16384, 32768,
                        );

                        let vecmask = i32x16::splat((mask & 0xFFFF) as i32);
                        let vecmask = (vecidx & vecmask).eq(vecidx);

                        unsafe { std::mem::transmute(vecmask) }
                    }
                    32 => {
                        // compute two separate m32x16 vector masks from  from the lower-most 32 bits of `mask`
                        // and then combine them into one m16x32 vector mask by writing and reading a temporary
                        let tmp = &mut [0_i16; 32];

                        let vecidx = i32x16::new(
                            1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096,
                            8192, 16384, 32768,
                        );

                        let vecmask = i32x16::splat((mask & 0xFFFF) as i32);
                        let vecmask = (vecidx & vecmask).eq(vecidx);

                        i16x16::from_cast(vecmask)
                            .write_to_slice_unaligned(&mut tmp[0..16]);

                        let vecmask = i32x16::splat(((mask >> 16) & 0xFFFF) as i32);
                        let vecmask = (vecidx & vecmask).eq(vecidx);

                        i16x16::from_cast(vecmask)
                            .write_to_slice_unaligned(&mut tmp[16..32]);

                        unsafe { std::mem::transmute(i16x32::from_slice_unaligned(tmp)) }
                    }
                    64 => {
                        // compute four m32x16 vector masks from  from all 64 bits of `mask`
                        // and convert them into one m8x64 vector mask by writing and reading a temporary
                        let tmp = &mut [0_i8; 64];

                        let vecidx = i32x16::new(
                            1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096,
                            8192, 16384, 32768,
                        );

                        let vecmask = i32x16::splat((mask & 0xFFFF) as i32);
                        let vecmask = (vecidx & vecmask).eq(vecidx);

                        i8x16::from_cast(vecmask)
                            .write_to_slice_unaligned(&mut tmp[0..16]);

                        let vecmask = i32x16::splat(((mask >> 16) & 0xFFFF) as i32);
                        let vecmask = (vecidx & vecmask).eq(vecidx);

                        i8x16::from_cast(vecmask)
                            .write_to_slice_unaligned(&mut tmp[16..32]);

                        let vecmask = i32x16::splat(((mask >> 32) & 0xFFFF) as i32);
                        let vecmask = (vecidx & vecmask).eq(vecidx);

                        i8x16::from_cast(vecmask)
                            .write_to_slice_unaligned(&mut tmp[32..48]);

                        let vecmask = i32x16::splat(((mask >> 48) & 0xFFFF) as i32);
                        let vecmask = (vecidx & vecmask).eq(vecidx);

                        i8x16::from_cast(vecmask)
                            .write_to_slice_unaligned(&mut tmp[48..64]);

                        unsafe { std::mem::transmute(i8x64::from_slice_unaligned(tmp)) }
                    }
                    _ => panic!("Invalid number of vector lanes"),
                }
            }

            #[inline]
            fn mask_to_u64(mask: &Self::SimdMask) -> u64 {
                mask.bitmask() as u64
            }

            #[inline]
            fn mask_get(mask: &Self::SimdMask, idx: usize) -> bool {
                unsafe { mask.extract_unchecked(idx) }
            }

            #[inline]
            fn mask_set(mask: Self::SimdMask, idx: usize, value: bool) -> Self::SimdMask {
                unsafe { mask.replace_unchecked(idx, value) }
            }

            /// Selects elements of `a` and `b` using `mask`
            #[inline]
            fn mask_select(
                mask: Self::SimdMask,
                a: Self::Simd,
                b: Self::Simd,
            ) -> Self::Simd {
                mask.select(a, b)
            }

            #[inline]
            fn mask_any(mask: Self::SimdMask) -> bool {
                mask.any()
            }

            #[inline]
            fn bin_op<F: Fn(Self::Simd, Self::Simd) -> Self::Simd>(
                left: Self::Simd,
                right: Self::Simd,
                op: F,
            ) -> Self::Simd {
                op(left, right)
            }

            #[inline]
            fn eq(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
                left.eq(right)
            }

            #[inline]
            fn ne(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
                left.ne(right)
            }

            #[inline]
            fn lt(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
                left.lt(right)
            }

            #[inline]
            fn le(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
                left.le(right)
            }

            #[inline]
            fn gt(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
                left.gt(right)
            }

            #[inline]
            fn ge(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
                left.ge(right)
            }

            #[inline]
            fn write(simd_result: Self::Simd, slice: &mut [Self::Native]) {
                unsafe { simd_result.write_to_slice_unaligned_unchecked(slice) };
            }

            #[inline]
            fn unary_op<F: Fn(Self::Simd) -> Self::Simd>(
                a: Self::Simd,
                op: F,
            ) -> Self::Simd {
                op(a)
            }
        }

        #[cfg(not(feature = "simd"))]
        impl ArrowNumericType for $impl_ty {}
    };
}

make_numeric_type!(Int8Type, i8, i8x64, m8x64);
make_numeric_type!(Int16Type, i16, i16x32, m16x32);
make_numeric_type!(Int32Type, i32, i32x16, m32x16);
make_numeric_type!(Int64Type, i64, i64x8, m64x8);
make_numeric_type!(UInt8Type, u8, u8x64, m8x64);
make_numeric_type!(UInt16Type, u16, u16x32, m16x32);
make_numeric_type!(UInt32Type, u32, u32x16, m32x16);
make_numeric_type!(UInt64Type, u64, u64x8, m64x8);
make_numeric_type!(Float32Type, f32, f32x16, m32x16);
make_numeric_type!(Float64Type, f64, f64x8, m64x8);

make_numeric_type!(TimestampSecondType, i64, i64x8, m64x8);
make_numeric_type!(TimestampMillisecondType, i64, i64x8, m64x8);
make_numeric_type!(TimestampMicrosecondType, i64, i64x8, m64x8);
make_numeric_type!(TimestampNanosecondType, i64, i64x8, m64x8);
make_numeric_type!(Date32Type, i32, i32x16, m32x16);
make_numeric_type!(Date64Type, i64, i64x8, m64x8);
make_numeric_type!(Time32SecondType, i32, i32x16, m32x16);
make_numeric_type!(Time32MillisecondType, i32, i32x16, m32x16);
make_numeric_type!(Time64MicrosecondType, i64, i64x8, m64x8);
make_numeric_type!(Time64NanosecondType, i64, i64x8, m64x8);
make_numeric_type!(IntervalYearMonthType, i32, i32x16, m32x16);
make_numeric_type!(IntervalDayTimeType, i64, i64x8, m64x8);
make_numeric_type!(IntervalMonthDayNanoType, i128, i128x4, m128x4);
make_numeric_type!(DurationSecondType, i64, i64x8, m64x8);
make_numeric_type!(DurationMillisecondType, i64, i64x8, m64x8);
make_numeric_type!(DurationMicrosecondType, i64, i64x8, m64x8);
make_numeric_type!(DurationNanosecondType, i64, i64x8, m64x8);
make_numeric_type!(Decimal128Type, i128, i128x4, m128x4);

#[cfg(not(feature = "simd"))]
impl ArrowNumericType for Float16Type {}

#[cfg(feature = "simd")]
impl ArrowNumericType for Float16Type {
    type Simd = <Float32Type as ArrowNumericType>::Simd;
    type SimdMask = <Float32Type as ArrowNumericType>::SimdMask;

    fn lanes() -> usize {
        Float32Type::lanes()
    }

    fn init(value: Self::Native) -> Self::Simd {
        Float32Type::init(value.to_f32())
    }

    fn load(slice: &[Self::Native]) -> Self::Simd {
        let mut s = [0_f32; Self::Simd::lanes()];
        s.iter_mut().zip(slice).for_each(|(o, a)| *o = a.to_f32());
        Float32Type::load(&s)
    }

    fn mask_init(value: bool) -> Self::SimdMask {
        Float32Type::mask_init(value)
    }

    fn mask_from_u64(mask: u64) -> Self::SimdMask {
        Float32Type::mask_from_u64(mask)
    }

    fn mask_to_u64(mask: &Self::SimdMask) -> u64 {
        Float32Type::mask_to_u64(mask)
    }

    fn mask_get(mask: &Self::SimdMask, idx: usize) -> bool {
        Float32Type::mask_get(mask, idx)
    }

    fn mask_set(mask: Self::SimdMask, idx: usize, value: bool) -> Self::SimdMask {
        Float32Type::mask_set(mask, idx, value)
    }

    fn mask_select(mask: Self::SimdMask, a: Self::Simd, b: Self::Simd) -> Self::Simd {
        Float32Type::mask_select(mask, a, b)
    }

    fn mask_any(mask: Self::SimdMask) -> bool {
        Float32Type::mask_any(mask)
    }

    fn bin_op<F: Fn(Self::Simd, Self::Simd) -> Self::Simd>(
        left: Self::Simd,
        right: Self::Simd,
        op: F,
    ) -> Self::Simd {
        op(left, right)
    }

    fn eq(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
        Float32Type::eq(left, right)
    }

    fn ne(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
        Float32Type::ne(left, right)
    }

    fn lt(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
        Float32Type::lt(left, right)
    }

    fn le(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
        Float32Type::le(left, right)
    }

    fn gt(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
        Float32Type::gt(left, right)
    }

    fn ge(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
        Float32Type::ge(left, right)
    }

    fn write(simd_result: Self::Simd, slice: &mut [Self::Native]) {
        let mut s = [0_f32; Self::Simd::lanes()];
        Float32Type::write(simd_result, &mut s);
        slice
            .iter_mut()
            .zip(s)
            .for_each(|(o, i)| *o = half::f16::from_f32(i))
    }

    fn unary_op<F: Fn(Self::Simd) -> Self::Simd>(a: Self::Simd, op: F) -> Self::Simd {
        Float32Type::unary_op(a, op)
    }
}

#[cfg(not(feature = "simd"))]
impl ArrowNumericType for Decimal256Type {}

#[cfg(feature = "simd")]
impl ArrowNumericType for Decimal256Type {
    type Simd = arrow_buffer::i256;
    type SimdMask = bool;

    fn lanes() -> usize {
        1
    }

    fn init(value: Self::Native) -> Self::Simd {
        value
    }

    fn load(slice: &[Self::Native]) -> Self::Simd {
        slice[0]
    }

    fn mask_init(value: bool) -> Self::SimdMask {
        value
    }

    fn mask_from_u64(mask: u64) -> Self::SimdMask {
        mask != 0
    }

    fn mask_to_u64(mask: &Self::SimdMask) -> u64 {
        *mask as u64
    }

    fn mask_get(mask: &Self::SimdMask, _idx: usize) -> bool {
        *mask
    }

    fn mask_set(_mask: Self::SimdMask, _idx: usize, value: bool) -> Self::SimdMask {
        value
    }

    fn mask_select(mask: Self::SimdMask, a: Self::Simd, b: Self::Simd) -> Self::Simd {
        match mask {
            true => a,
            false => b,
        }
    }

    fn mask_any(mask: Self::SimdMask) -> bool {
        mask
    }

    fn bin_op<F: Fn(Self::Simd, Self::Simd) -> Self::Simd>(
        left: Self::Simd,
        right: Self::Simd,
        op: F,
    ) -> Self::Simd {
        op(left, right)
    }

    fn eq(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
        left.eq(&right)
    }

    fn ne(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
        left.ne(&right)
    }

    fn lt(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
        left.lt(&right)
    }

    fn le(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
        left.le(&right)
    }

    fn gt(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
        left.gt(&right)
    }

    fn ge(left: Self::Simd, right: Self::Simd) -> Self::SimdMask {
        left.ge(&right)
    }

    fn write(simd_result: Self::Simd, slice: &mut [Self::Native]) {
        slice[0] = simd_result
    }

    fn unary_op<F: Fn(Self::Simd) -> Self::Simd>(a: Self::Simd, op: F) -> Self::Simd {
        op(a)
    }
}

/// A subtype of primitive type that represents numeric float values
#[cfg(feature = "simd")]
pub trait ArrowFloatNumericType: ArrowNumericType {
    /// SIMD version of pow
    fn pow(base: Self::Simd, raise: Self::Simd) -> Self::Simd;
}

/// A subtype of primitive type that represents numeric float values
#[cfg(not(feature = "simd"))]
pub trait ArrowFloatNumericType: ArrowNumericType {}

macro_rules! make_float_numeric_type {
    ($impl_ty:ty, $simd_ty:ident) => {
        #[cfg(feature = "simd")]
        impl ArrowFloatNumericType for $impl_ty {
            #[inline]
            fn pow(base: Self::Simd, raise: Self::Simd) -> Self::Simd {
                base.powf(raise)
            }
        }

        #[cfg(not(feature = "simd"))]
        impl ArrowFloatNumericType for $impl_ty {}
    };
}

make_float_numeric_type!(Float32Type, f32x16);
make_float_numeric_type!(Float64Type, f64x8);

#[cfg(all(test, feature = "simd"))]
mod tests {
    use crate::datatypes::{
        ArrowNumericType, Float32Type, Float64Type, Int32Type, Int64Type, Int8Type,
        IntervalMonthDayNanoType, UInt16Type,
    };
    use packed_simd::*;
    use FromCast;

    /// calculate the expected mask by iterating over all bits
    macro_rules! expected_mask {
        ($T:ty, $MASK:expr) => {{
            let mask = $MASK;
            // simd width of all types is currently 64 bytes -> 512 bits
            let lanes = 64 / std::mem::size_of::<$T>();
            // translate each set bit into a value of all ones (-1) of the correct type
            (0..lanes)
                .map(|i| (if (mask & (1 << i)) != 0 { -1 } else { 0 }))
                .collect::<Vec<$T>>()
        }};
    }

    #[test]
    fn test_mask_i128() {
        let mask = 0b1101;
        let actual = IntervalMonthDayNanoType::mask_from_u64(mask);
        let expected = expected_mask!(i128, mask);
        let expected =
            m128x4::from_cast(i128x4::from_slice_unaligned(expected.as_slice()));

        assert_eq!(expected, actual);
    }

    #[test]
    fn test_mask_f64() {
        let mask = 0b10101010;
        let actual = Float64Type::mask_from_u64(mask);
        let expected = expected_mask!(i64, mask);
        let expected = m64x8::from_cast(i64x8::from_slice_unaligned(expected.as_slice()));

        assert_eq!(expected, actual);
    }

    #[test]
    fn test_mask_u64() {
        let mask = 0b01010101;
        let actual = Int64Type::mask_from_u64(mask);
        let expected = expected_mask!(i64, mask);
        let expected = m64x8::from_cast(i64x8::from_slice_unaligned(expected.as_slice()));

        assert_eq!(expected, actual);
    }

    #[test]
    fn test_mask_f32() {
        let mask = 0b10101010_10101010;
        let actual = Float32Type::mask_from_u64(mask);
        let expected = expected_mask!(i32, mask);
        let expected =
            m32x16::from_cast(i32x16::from_slice_unaligned(expected.as_slice()));

        assert_eq!(expected, actual);
    }

    #[test]
    fn test_mask_i32() {
        let mask = 0b01010101_01010101;
        let actual = Int32Type::mask_from_u64(mask);
        let expected = expected_mask!(i32, mask);
        let expected =
            m32x16::from_cast(i32x16::from_slice_unaligned(expected.as_slice()));

        assert_eq!(expected, actual);
    }

    #[test]
    fn test_mask_u16() {
        let mask = 0b01010101_01010101_10101010_10101010;
        let actual = UInt16Type::mask_from_u64(mask);
        let expected = expected_mask!(i16, mask);
        dbg!(&expected);
        let expected =
            m16x32::from_cast(i16x32::from_slice_unaligned(expected.as_slice()));

        assert_eq!(expected, actual);
    }

    #[test]
    fn test_mask_i8() {
        let mask =
            0b01010101_01010101_10101010_10101010_01010101_01010101_10101010_10101010;
        let actual = Int8Type::mask_from_u64(mask);
        let expected = expected_mask!(i8, mask);
        let expected = m8x64::from_cast(i8x64::from_slice_unaligned(expected.as_slice()));

        assert_eq!(expected, actual);
    }
}