voracious_radix_sort 1.2.0

State of the art radix sort algorithms. Single thread and multi thread versions.
Documentation 
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use super::super::algo::k_way_merge::k_way_merge;
use super::super::algo::verge_sort_heuristic::verge_sort_preprocessing;
use super::super::sorts::utils::{
    copy_nonoverlapping, get_empty_histograms, only_one_bucket_filled,
    prefix_sums, Params,
};
use super::super::Radixable;

const UNROLL_SIZE: usize = 4;

fn copy_by_histogram(
    size: usize,
    source: &mut [f32],
    destination: &mut [f32],
    heads: &mut Vec<usize>,
    mask: u32,
    shift: usize,
) {
    let quotient = size / UNROLL_SIZE;
    let remainder = size % UNROLL_SIZE;

    for q in 0..quotient {
        let i = q * UNROLL_SIZE;
        unsafe {
            let b0 = source.get_unchecked(i).extract(mask, shift);
            let b1 = source.get_unchecked(i + 1).extract(mask, shift);
            let b2 = source.get_unchecked(i + 2).extract(mask, shift);
            let b3 = source.get_unchecked(i + 3).extract(mask, shift);

            let d0 = heads[b0];
            heads[b0] += 1;
            let d1 = heads[b1];
            heads[b1] += 1;
            let d2 = heads[b2];
            heads[b2] += 1;
            let d3 = heads[b3];
            heads[b3] += 1;

            destination[d0] = *source.get_unchecked(i);
            destination[d1] = *source.get_unchecked(i + 1);
            destination[d2] = *source.get_unchecked(i + 2);
            destination[d3] = *source.get_unchecked(i + 3);
        }
    }

    for r in 0..remainder {
        let i = quotient * UNROLL_SIZE + r;
        let target_bucket = source[i].extract(mask, shift);
        destination[heads[target_bucket]] = source[i];
        heads[target_bucket] += 1;
    }
}

fn get_full_histograms(arr: &mut [f32], p: &Params) -> Vec<Vec<usize>> {
    let mut histograms = get_empty_histograms(p.max_level, p.radix_range);

    let default_mask = 0x0000_00FFu32;
    let shift = p.radix as u32;

    let quotient = arr.len() / 4;
    let remainder = arr.len() % 4;
    let offset = quotient * 4;

    if p.max_level == 1 {
        for q in 0..quotient {
            unsafe {
                let i = q * 4;
                let v0 = arr.get_unchecked(i).into_key_type();
                let v1 = arr.get_unchecked(i + 1).into_key_type();
                let v2 = arr.get_unchecked(i + 2).into_key_type();
                let v3 = arr.get_unchecked(i + 3).into_key_type();
                histograms[0][(v0 & default_mask) as usize] += 1;
                histograms[0][(v1 & default_mask) as usize] += 1;
                histograms[0][(v2 & default_mask) as usize] += 1;
                histograms[0][(v3 & default_mask) as usize] += 1;
            }
        }
        for i in 0..remainder {
            unsafe {
                let v = arr.get_unchecked(offset + i).into_key_type();
                histograms[0][(v & default_mask) as usize] += 1;
            }
        }
    } else if p.max_level == 2 {
        for q in 0..quotient {
            unsafe {
                let i = q * 4;
                let mut v0 = arr.get_unchecked(i).into_key_type();
                let mut v1 = arr.get_unchecked(i + 1).into_key_type();
                let mut v2 = arr.get_unchecked(i + 2).into_key_type();
                let mut v3 = arr.get_unchecked(i + 3).into_key_type();
                histograms[1][(v0 & default_mask) as usize] += 1;
                histograms[1][(v1 & default_mask) as usize] += 1;
                histograms[1][(v2 & default_mask) as usize] += 1;
                histograms[1][(v3 & default_mask) as usize] += 1;
                v0 >>= shift;
                v1 >>= shift;
                v2 >>= shift;
                v3 >>= shift;
                histograms[0][(v0 & default_mask) as usize] += 1;
                histograms[0][(v1 & default_mask) as usize] += 1;
                histograms[0][(v2 & default_mask) as usize] += 1;
                histograms[0][(v3 & default_mask) as usize] += 1;
            }
        }
        for i in 0..remainder {
            unsafe {
                let mut v = arr.get_unchecked(offset + i).into_key_type();
                histograms[1][(v & default_mask) as usize] += 1;
                v >>= shift;
                histograms[0][(v & default_mask) as usize] += 1;
            }
        }
    } else if p.max_level == 3 {
        for q in 0..quotient {
            unsafe {
                let i = q * 4;
                let mut v0 = arr.get_unchecked(i).into_key_type();
                let mut v1 = arr.get_unchecked(i + 1).into_key_type();
                let mut v2 = arr.get_unchecked(i + 2).into_key_type();
                let mut v3 = arr.get_unchecked(i + 3).into_key_type();
                histograms[2][(v0 & default_mask) as usize] += 1;
                histograms[2][(v1 & default_mask) as usize] += 1;
                histograms[2][(v2 & default_mask) as usize] += 1;
                histograms[2][(v3 & default_mask) as usize] += 1;
                v0 >>= shift;
                v1 >>= shift;
                v2 >>= shift;
                v3 >>= shift;
                histograms[1][(v0 & default_mask) as usize] += 1;
                histograms[1][(v1 & default_mask) as usize] += 1;
                histograms[1][(v2 & default_mask) as usize] += 1;
                histograms[1][(v3 & default_mask) as usize] += 1;
                v0 >>= shift;
                v1 >>= shift;
                v2 >>= shift;
                v3 >>= shift;
                histograms[0][(v0 & default_mask) as usize] += 1;
                histograms[0][(v1 & default_mask) as usize] += 1;
                histograms[0][(v2 & default_mask) as usize] += 1;
                histograms[0][(v3 & default_mask) as usize] += 1;
            }
        }
        for i in 0..remainder {
            unsafe {
                let mut v = arr.get_unchecked(offset + i).into_key_type();
                histograms[2][(v & default_mask) as usize] += 1;
                v >>= shift;
                histograms[1][(v & default_mask) as usize] += 1;
                v >>= shift;
                histograms[0][(v & default_mask) as usize] += 1;
            }
        }
    } else if p.max_level == 4 {
        for q in 0..quotient {
            unsafe {
                let i = q * 4;
                let mut v0 = arr.get_unchecked(i).into_key_type();
                let mut v1 = arr.get_unchecked(i + 1).into_key_type();
                let mut v2 = arr.get_unchecked(i + 2).into_key_type();
                let mut v3 = arr.get_unchecked(i + 3).into_key_type();
                histograms[3][(v0 & default_mask) as usize] += 1;
                histograms[3][(v1 & default_mask) as usize] += 1;
                histograms[3][(v2 & default_mask) as usize] += 1;
                histograms[3][(v3 & default_mask) as usize] += 1;
                v0 >>= shift;
                v1 >>= shift;
                v2 >>= shift;
                v3 >>= shift;
                histograms[2][(v0 & default_mask) as usize] += 1;
                histograms[2][(v1 & default_mask) as usize] += 1;
                histograms[2][(v2 & default_mask) as usize] += 1;
                histograms[2][(v3 & default_mask) as usize] += 1;
                v0 >>= shift;
                v1 >>= shift;
                v2 >>= shift;
                v3 >>= shift;
                histograms[1][(v0 & default_mask) as usize] += 1;
                histograms[1][(v1 & default_mask) as usize] += 1;
                histograms[1][(v2 & default_mask) as usize] += 1;
                histograms[1][(v3 & default_mask) as usize] += 1;
                v0 >>= shift;
                v1 >>= shift;
                v2 >>= shift;
                v3 >>= shift;
                histograms[0][(v0 & default_mask) as usize] += 1;
                histograms[0][(v1 & default_mask) as usize] += 1;
                histograms[0][(v2 & default_mask) as usize] += 1;
                histograms[0][(v3 & default_mask) as usize] += 1;
            }
        }
        for i in 0..remainder {
            unsafe {
                let mut v = arr.get_unchecked(offset + i).into_key_type();
                histograms[3][(v & default_mask) as usize] += 1;
                v >>= shift;
                histograms[2][(v & default_mask) as usize] += 1;
                v >>= shift;
                histograms[1][(v & default_mask) as usize] += 1;
                v >>= shift;
                histograms[0][(v & default_mask) as usize] += 1;
            }
        }
    }

    histograms
}

fn lsd_radixsort_body(arr: &mut [f32], p: Params) {
    let size = arr.len();
    let dummy = arr[0];
    let mut buffer: Vec<f32> = vec![arr[0]; size];
    let mut index = 0;

    let histograms = get_full_histograms(arr, &p);

    let mut t1 = arr;
    let t2 = &mut buffer;
    let mut t2 = t2.as_mut_slice();

    for level in (p.level..p.max_level).rev() {
        if only_one_bucket_filled(&histograms[level]) {
            continue;
        }

        let (mut source, mut destination) =
            if index == 0 { (t1, t2) } else { (t2, t1) };
        let (mask, shift) = dummy.get_mask_and_shift(&p.new_level(level));
        let (_, mut heads, _) = prefix_sums(&histograms[level]);

        copy_by_histogram(
            source.len(),
            &mut source,
            &mut destination,
            &mut heads,
            mask,
            shift,
        );

        index = 1 - index;

        if index == 1 {
            t1 = source;
            t2 = destination;
        } else {
            t2 = source;
            t1 = destination;
        }
    }

    if index == 1 {
        copy_nonoverlapping(t2, t1, size);
    }
}

pub fn lsd_f32(arr: &mut [f32]) {
    if arr.len() <= 128 {
        arr.sort_unstable_by(|a, b| a.partial_cmp(b).unwrap());
        return;
    }

    let radix = 8;
    let dummy = arr[0];
    let (offset, _) = dummy.compute_offset(arr, radix);
    let max_level = dummy.compute_max_level(offset, radix);

    if max_level == 0 {
        return;
    }

    let params = Params::new(0, radix, offset, max_level);

    let mut separators = verge_sort_preprocessing(arr, radix, &|arr, _| {
        lsd_radixsort_body(arr, params);
    });
    k_way_merge(arr, &mut separators);
}