1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
//! Various implementations of the L1 metric for types that can be easily converted to f32.

use super::L1;
use crate::base_traits::Metric;
use crate::points::*;
use packed_simd::*;
use std::ops::Deref;

macro_rules! make_l1_distance {
    ($base:ident, $simd_16_base:ident, $simd_8_base:ident, $sparse_base:ident, $dist_base:ident, $norm_base:ident) => {
        ///
        #[inline]
        pub fn $dist_base(mut x: &[$base], mut y: &[$base]) -> f32 {
            let mut d_acc_16 = f32x16::splat(0.0);
            while y.len() > 16 {
                let x_simd = $simd_16_base::from_slice_unaligned(x);
                let y_simd = $simd_16_base::from_slice_unaligned(y);
                let x_simd_f32 = f32x16::from_cast(x_simd);
                let y_simd_f32 = f32x16::from_cast(y_simd);
                let diff = x_simd_f32 - y_simd_f32;
                d_acc_16 += diff.abs();
                y = &y[16..];
                x = &x[16..];
            }
            let mut d_acc_8 = f32x8::splat(0.0);
            if y.len() > 8 {
                let x_simd = $simd_8_base::from_slice_unaligned(x);
                let y_simd = $simd_8_base::from_slice_unaligned(y);
                let x_simd_f32 = f32x8::from_cast(x_simd);
                let y_simd_f32 = f32x8::from_cast(y_simd);
                let diff = x_simd_f32 - y_simd_f32;
                d_acc_8 += diff.abs();
                y = &y[8..];
                x = &x[8..];
            }
            let leftover = y
                .iter()
                .zip(x)
                .map(|(xi, yi)| (*xi as f32 - *yi as f32).abs())
                .fold(0.0, |acc, y| acc + y);
            leftover + d_acc_8.sum() + d_acc_16.sum()
        }

        ///
        #[inline]
        pub fn $norm_base(mut x: &[$base]) -> f32 {
            let mut d_acc_16 = f32x16::splat(0.0);
            while x.len() > 16 {
                let x_simd = $simd_16_base::from_slice_unaligned(x);
                let x_simd_f32 = f32x16::from_cast(x_simd);
                d_acc_16 += x_simd_f32.abs();
                x = &x[16..];
            }
            let mut d_acc_8 = f32x8::splat(0.0);
            if x.len() > 8 {
                let x_simd = $simd_8_base::from_slice_unaligned(x);
                let x_simd_f32 = f32x8::from_cast(x_simd);
                d_acc_8 += x_simd_f32.abs();
                x = &x[8..];
            }
            let leftover = x
                .iter()
                .map(|xi| (*xi as f32).abs())
                .fold(0.0, |acc, y| acc + y);
            leftover + d_acc_8.sum() + d_acc_16.sum()
        }

        /// basic sparse function
        pub fn $sparse_base<S>(x_ind: &[S], x_val: &[$base], y_ind: &[S], y_val: &[$base]) -> f32
        where
            S: Ord,
        {
            if x_val.is_empty() || y_val.is_empty() {
                if x_val.is_empty() && y_val.is_empty() {
                    return 0.0;
                }
                if !x_val.is_empty() && y_val.is_empty() {
                    $norm_base(x_val)
                } else {
                    $norm_base(y_val)
                }
            } else {
                let mut total = 0.0;
                let (short_iter, mut long_iter) = if x_ind.len() > y_ind.len() {
                    (y_ind.iter().zip(y_val), x_ind.iter().zip(x_val))
                } else {
                    (x_ind.iter().zip(x_val), y_ind.iter().zip(y_val))
                };

                let mut l_tr: Option<(&S, &$base)> = long_iter.next();
                for (si, sv) in short_iter {
                    while let Some((li, lv)) = l_tr {
                        if li < si {
                            total += (*lv as f32).abs();
                            l_tr = long_iter.next();
                        } else {
                            break;
                        }
                    }
                    if let Some((li, lv)) = l_tr {
                        if li == si {
                            let val = (*sv as f32) - (*lv as f32);
                            total += val.abs();
                            l_tr = long_iter.next();
                        } else {
                            total += (*sv as f32).abs();
                        }
                    } else {
                        total += (*sv as f32).abs();
                    }
                }
                while let Some((_li, lv)) = l_tr {
                    total += (*lv as f32).abs();
                    l_tr = long_iter.next();
                }
                total
            }
        }
        impl Metric<[$base]> for L1 {
            fn dist(x: &[$base], y: &[$base]) -> f32 {
                $dist_base(x.deref(), y.deref()).sqrt()
            }
        }

        impl<'a> Metric<RawSparse<$base, u32>> for L1 {
            fn dist(x: &RawSparse<$base, u32>, y: &RawSparse<$base, u32>) -> f32 {
                $sparse_base(x.indexes(), x.values(), y.indexes(), y.values()).sqrt()
            }
        }

        impl<'a> Metric<RawSparse<$base, u16>> for L1 {
            fn dist(x: &RawSparse<$base, u16>, y: &RawSparse<$base, u16>) -> f32 {
                $sparse_base(x.indexes(), x.values(), y.indexes(), y.values()).sqrt()
            }
        }

        impl<'a> Metric<RawSparse<$base, u8>> for L1 {
            fn dist(x: &RawSparse<$base, u8>, y: &RawSparse<$base, u8>) -> f32 {
                $sparse_base(x.indexes(), x.values(), y.indexes(), y.values()).sqrt()
            }
        }
    };
}

make_l1_distance!(i8, i8x16, i8x8, l1_sparse_i8_f32, l1_dense_i8, l1_norm_i8);
make_l1_distance!(u8, u8x16, u8x8, l1_sparse_u8_f32, l1_dense_u8, l1_norm_u8);
make_l1_distance!(
    i16,
    i16x16,
    i16x8,
    l1_sparse_i16_f32,
    l1_dense_i16,
    l1_norm_i16
);
make_l1_distance!(
    u16,
    u16x16,
    u16x8,
    l1_sparse_u16_f32,
    l1_dense_u16,
    l1_norm_u16
);
make_l1_distance!(
    i32,
    i32x16,
    i32x8,
    l1_sparse_i32_f32,
    l1_dense_i32,
    l1_norm_i32
);
make_l1_distance!(
    u32,
    u32x16,
    u32x8,
    l1_sparse_u32_f32,
    l1_dense_u32,
    l1_norm_u32
);