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roaring.c
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/* auto-generated on Fri Nov 15 06:22:15 EST 2019. Do not edit! */
#include "roaring.h"
/* used for http://dmalloc.com/ Dmalloc - Debug Malloc Library */
#ifdef DMALLOC
#include "dmalloc.h"
#endif
/* begin file src/array_util.c */
#include <assert.h>
#include <stdbool.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
extern inline int32_t binarySearch(const uint16_t *array, int32_t lenarray,
uint16_t ikey);
#ifdef USESSE4
// used by intersect_vector16
ALIGNED(0x1000)
static const uint8_t shuffle_mask16[] = {
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 4, 5, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 4, 5, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 6, 7, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 6, 7, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 6, 7, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
6, 7, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
4, 5, 6, 7, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5, 6, 7, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5,
6, 7, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 4, 5, 6, 7, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 8, 9, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 8, 9,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 8, 9, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 8, 9, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 8, 9,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 4, 5, 8, 9, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5, 8, 9, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
4, 5, 8, 9, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
6, 7, 8, 9, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 6, 7, 8, 9, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 6, 7,
8, 9, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 6, 7, 8, 9, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 6, 7, 8, 9, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5,
6, 7, 8, 9, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 4, 5, 6, 7, 8, 9, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 4, 5, 6, 7,
8, 9, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 10, 11, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
4, 5, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5, 10, 11, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5,
10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 4, 5, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 6, 7, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 6, 7,
10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 6, 7, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 6, 7, 10, 11,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 6, 7,
10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 4, 5, 6, 7, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5, 6, 7, 10, 11,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
4, 5, 6, 7, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
8, 9, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 8, 9, 10, 11, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 8, 9,
10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 8, 9, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 8, 9, 10, 11, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5,
8, 9, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 4, 5, 8, 9, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 4, 5, 8, 9,
10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 6, 7, 8, 9,
10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 6, 7, 8, 9, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 6, 7, 8, 9, 10, 11,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
6, 7, 8, 9, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
4, 5, 6, 7, 8, 9, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5, 6, 7, 8, 9,
10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5,
6, 7, 8, 9, 10, 11, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
0xFF, 0xFF, 0xFF, 0xFF, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 12, 13,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 12, 13, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 12, 13,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 4, 5, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5, 12, 13, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
4, 5, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
6, 7, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 6, 7, 12, 13, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 6, 7,
12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 6, 7, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 6, 7, 12, 13, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5,
6, 7, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 4, 5, 6, 7, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 4, 5, 6, 7,
12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 8, 9, 12, 13,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 8, 9, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 8, 9, 12, 13, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
8, 9, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
4, 5, 8, 9, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5, 8, 9, 12, 13,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5,
8, 9, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 4, 5, 8, 9, 12, 13, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 6, 7, 8, 9, 12, 13, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 6, 7,
8, 9, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 6, 7, 8, 9, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 6, 7, 8, 9,
12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 6, 7,
8, 9, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 4, 5, 6, 7, 8, 9, 12, 13, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5, 6, 7, 8, 9,
12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
4, 5, 6, 7, 8, 9, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF,
10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 10, 11, 12, 13, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 10, 11,
12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 10, 11, 12, 13, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5,
10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 4, 5, 10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 4, 5, 10, 11,
12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 6, 7, 10, 11,
12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 6, 7, 10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 6, 7, 10, 11, 12, 13,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
6, 7, 10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
4, 5, 6, 7, 10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5, 6, 7, 10, 11,
12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5,
6, 7, 10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13,
0xFF, 0xFF, 0xFF, 0xFF, 8, 9, 10, 11, 12, 13, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 8, 9,
10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 8, 9, 10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 8, 9, 10, 11,
12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 8, 9,
10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 4, 5, 8, 9, 10, 11, 12, 13, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5, 8, 9, 10, 11,
12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
4, 5, 8, 9, 10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF,
6, 7, 8, 9, 10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 6, 7, 8, 9, 10, 11,
12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 6, 7,
8, 9, 10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 6, 7, 8, 9, 10, 11, 12, 13,
0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 6, 7, 8, 9, 10, 11,
12, 13, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5,
6, 7, 8, 9, 10, 11, 12, 13, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 4, 5, 6, 7,
8, 9, 10, 11, 12, 13, 0xFF, 0xFF, 14, 15, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
4, 5, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5, 14, 15, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 4, 5, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 6, 7, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 6, 7,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 6, 7, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 6, 7, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 6, 7,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 4, 5, 6, 7, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5, 6, 7, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
4, 5, 6, 7, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
8, 9, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 8, 9, 14, 15, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 8, 9,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 8, 9, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 8, 9, 14, 15, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5,
8, 9, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 4, 5, 8, 9, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 4, 5, 8, 9,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 6, 7, 8, 9,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 6, 7, 8, 9, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 6, 7, 8, 9, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
6, 7, 8, 9, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
4, 5, 6, 7, 8, 9, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5, 6, 7, 8, 9,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5,
6, 7, 8, 9, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 10, 11,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 10, 11, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 10, 11,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 4, 5, 10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5, 10, 11, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
4, 5, 10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
6, 7, 10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 6, 7, 10, 11, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 6, 7,
10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 6, 7, 10, 11, 14, 15, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 6, 7, 10, 11, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5,
6, 7, 10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 4, 5, 6, 7, 10, 11, 14, 15, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 4, 5, 6, 7,
10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 8, 9, 10, 11,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 8, 9, 10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 8, 9, 10, 11, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
8, 9, 10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
4, 5, 8, 9, 10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5, 8, 9, 10, 11,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5,
8, 9, 10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 4, 5, 8, 9, 10, 11, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 6, 7, 8, 9, 10, 11, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 6, 7,
8, 9, 10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 6, 7, 8, 9, 10, 11, 14, 15, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 6, 7, 8, 9,
10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 6, 7,
8, 9, 10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5, 6, 7, 8, 9,
10, 11, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 0xFF, 0xFF,
12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 12, 13, 14, 15, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 12, 13,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 12, 13, 14, 15, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5,
12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 4, 5, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 4, 5, 12, 13,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 6, 7, 12, 13,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 6, 7, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 6, 7, 12, 13, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
6, 7, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
4, 5, 6, 7, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5, 6, 7, 12, 13,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5,
6, 7, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 4, 5, 6, 7, 12, 13, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 8, 9, 12, 13, 14, 15, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 8, 9,
12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 8, 9, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 8, 9, 12, 13,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 8, 9,
12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 4, 5, 8, 9, 12, 13, 14, 15, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5, 8, 9, 12, 13,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
4, 5, 8, 9, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
6, 7, 8, 9, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 6, 7, 8, 9, 12, 13,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 6, 7,
8, 9, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 6, 7, 8, 9, 12, 13, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 6, 7, 8, 9, 12, 13,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5,
6, 7, 8, 9, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 4, 5, 6, 7,
8, 9, 12, 13, 14, 15, 0xFF, 0xFF, 10, 11, 12, 13,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 10, 11, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 10, 11, 12, 13, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
10, 11, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
4, 5, 10, 11, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5, 10, 11, 12, 13,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5,
10, 11, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 6, 7, 10, 11, 12, 13, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 6, 7,
10, 11, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 6, 7, 10, 11, 12, 13, 14, 15, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 6, 7, 10, 11,
12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 6, 7,
10, 11, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 4, 5, 6, 7, 10, 11,
12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 0xFF, 0xFF,
8, 9, 10, 11, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 8, 9, 10, 11, 12, 13,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 8, 9,
10, 11, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 2, 3, 8, 9, 10, 11, 12, 13, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 4, 5, 8, 9, 10, 11, 12, 13,
14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5,
8, 9, 10, 11, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF,
2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3, 4, 5, 8, 9,
10, 11, 12, 13, 14, 15, 0xFF, 0xFF, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0, 1, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 2, 3, 6, 7, 8, 9, 10, 11,
12, 13, 14, 15, 0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 2, 3,
6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0xFF, 0xFF,
4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
0xFF, 0xFF, 0xFF, 0xFF, 0, 1, 4, 5, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 0xFF, 0xFF, 2, 3, 4, 5,
6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0xFF, 0xFF,
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
12, 13, 14, 15};
/**
* From Schlegel et al., Fast Sorted-Set Intersection using SIMD Instructions
* Optimized by D. Lemire on May 3rd 2013
*/
int32_t intersect_vector16(const uint16_t *__restrict__ A, size_t s_a,
const uint16_t *__restrict__ B, size_t s_b,
uint16_t *C) {
size_t count = 0;
size_t i_a = 0, i_b = 0;
const int vectorlength = sizeof(__m128i) / sizeof(uint16_t);
const size_t st_a = (s_a / vectorlength) * vectorlength;
const size_t st_b = (s_b / vectorlength) * vectorlength;
__m128i v_a, v_b;
if ((i_a < st_a) && (i_b < st_b)) {
v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
while ((A[i_a] == 0) || (B[i_b] == 0)) {
const __m128i res_v = _mm_cmpestrm(
v_b, vectorlength, v_a, vectorlength,
_SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY | _SIDD_BIT_MASK);
const int r = _mm_extract_epi32(res_v, 0);
__m128i sm16 = _mm_load_si128((const __m128i *)shuffle_mask16 + r);
__m128i p = _mm_shuffle_epi8(v_a, sm16);
_mm_storeu_si128((__m128i *)&C[count], p); // can overflow
count += _mm_popcnt_u32(r);
const uint16_t a_max = A[i_a + vectorlength - 1];
const uint16_t b_max = B[i_b + vectorlength - 1];
if (a_max <= b_max) {
i_a += vectorlength;
if (i_a == st_a) break;
v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
}
if (b_max <= a_max) {
i_b += vectorlength;
if (i_b == st_b) break;
v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
}
}
if ((i_a < st_a) && (i_b < st_b))
while (true) {
const __m128i res_v = _mm_cmpistrm(
v_b, v_a,
_SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY | _SIDD_BIT_MASK);
const int r = _mm_extract_epi32(res_v, 0);
__m128i sm16 =
_mm_load_si128((const __m128i *)shuffle_mask16 + r);
__m128i p = _mm_shuffle_epi8(v_a, sm16);
_mm_storeu_si128((__m128i *)&C[count], p); // can overflow
count += _mm_popcnt_u32(r);
const uint16_t a_max = A[i_a + vectorlength - 1];
const uint16_t b_max = B[i_b + vectorlength - 1];
if (a_max <= b_max) {
i_a += vectorlength;
if (i_a == st_a) break;
v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
}
if (b_max <= a_max) {
i_b += vectorlength;
if (i_b == st_b) break;
v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
}
}
}
// intersect the tail using scalar intersection
while (i_a < s_a && i_b < s_b) {
uint16_t a = A[i_a];
uint16_t b = B[i_b];
if (a < b) {
i_a++;
} else if (b < a) {
i_b++;
} else {
C[count] = a; //==b;
count++;
i_a++;
i_b++;
}
}
return (int32_t)count;
}
int32_t intersect_vector16_cardinality(const uint16_t *__restrict__ A,
size_t s_a,
const uint16_t *__restrict__ B,
size_t s_b) {
size_t count = 0;
size_t i_a = 0, i_b = 0;
const int vectorlength = sizeof(__m128i) / sizeof(uint16_t);
const size_t st_a = (s_a / vectorlength) * vectorlength;
const size_t st_b = (s_b / vectorlength) * vectorlength;
__m128i v_a, v_b;
if ((i_a < st_a) && (i_b < st_b)) {
v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
while ((A[i_a] == 0) || (B[i_b] == 0)) {
const __m128i res_v = _mm_cmpestrm(
v_b, vectorlength, v_a, vectorlength,
_SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY | _SIDD_BIT_MASK);
const int r = _mm_extract_epi32(res_v, 0);
count += _mm_popcnt_u32(r);
const uint16_t a_max = A[i_a + vectorlength - 1];
const uint16_t b_max = B[i_b + vectorlength - 1];
if (a_max <= b_max) {
i_a += vectorlength;
if (i_a == st_a) break;
v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
}
if (b_max <= a_max) {
i_b += vectorlength;
if (i_b == st_b) break;
v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
}
}
if ((i_a < st_a) && (i_b < st_b))
while (true) {
const __m128i res_v = _mm_cmpistrm(
v_b, v_a,
_SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY | _SIDD_BIT_MASK);
const int r = _mm_extract_epi32(res_v, 0);
count += _mm_popcnt_u32(r);
const uint16_t a_max = A[i_a + vectorlength - 1];
const uint16_t b_max = B[i_b + vectorlength - 1];
if (a_max <= b_max) {
i_a += vectorlength;
if (i_a == st_a) break;
v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
}
if (b_max <= a_max) {
i_b += vectorlength;
if (i_b == st_b) break;
v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
}
}
}
// intersect the tail using scalar intersection
while (i_a < s_a && i_b < s_b) {
uint16_t a = A[i_a];
uint16_t b = B[i_b];
if (a < b) {
i_a++;
} else if (b < a) {
i_b++;
} else {
count++;
i_a++;
i_b++;
}
}
return (int32_t)count;
}
/////////
// Warning:
// This function may not be safe if A == C or B == C.
/////////
int32_t difference_vector16(const uint16_t *__restrict__ A, size_t s_a,
const uint16_t *__restrict__ B, size_t s_b,
uint16_t *C) {
// we handle the degenerate case
if (s_a == 0) return 0;
if (s_b == 0) {
if (A != C) memcpy(C, A, sizeof(uint16_t) * s_a);
return (int32_t)s_a;
}
// handle the leading zeroes, it is messy but it allows us to use the fast
// _mm_cmpistrm instrinsic safely
int32_t count = 0;
if ((A[0] == 0) || (B[0] == 0)) {
if ((A[0] == 0) && (B[0] == 0)) {
A++;
s_a--;
B++;
s_b--;
} else if (A[0] == 0) {
C[count++] = 0;
A++;
s_a--;
} else {
B++;
s_b--;
}
}
// at this point, we have two non-empty arrays, made of non-zero
// increasing values.
size_t i_a = 0, i_b = 0;
const size_t vectorlength = sizeof(__m128i) / sizeof(uint16_t);
const size_t st_a = (s_a / vectorlength) * vectorlength;
const size_t st_b = (s_b / vectorlength) * vectorlength;
if ((i_a < st_a) && (i_b < st_b)) { // this is the vectorized code path
__m128i v_a, v_b; //, v_bmax;
// we load a vector from A and a vector from B
v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
// we have a runningmask which indicates which values from A have been
// spotted in B, these don't get written out.
__m128i runningmask_a_found_in_b = _mm_setzero_si128();
/****
* start of the main vectorized loop
*****/
while (true) {
// afoundinb will contain a mask indicate for each entry in A
// whether it is seen
// in B
const __m128i a_found_in_b =
_mm_cmpistrm(v_b, v_a, _SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY |
_SIDD_BIT_MASK);
runningmask_a_found_in_b =
_mm_or_si128(runningmask_a_found_in_b, a_found_in_b);
// we always compare the last values of A and B
const uint16_t a_max = A[i_a + vectorlength - 1];
const uint16_t b_max = B[i_b + vectorlength - 1];
if (a_max <= b_max) {
// Ok. In this code path, we are ready to write our v_a
// because there is no need to read more from B, they will
// all be large values.
const int bitmask_belongs_to_difference =
_mm_extract_epi32(runningmask_a_found_in_b, 0) ^ 0xFF;
/*** next few lines are probably expensive *****/
__m128i sm16 = _mm_load_si128((const __m128i *)shuffle_mask16 +
bitmask_belongs_to_difference);
__m128i p = _mm_shuffle_epi8(v_a, sm16);
_mm_storeu_si128((__m128i *)&C[count], p); // can overflow
count += _mm_popcnt_u32(bitmask_belongs_to_difference);
// we advance a
i_a += vectorlength;
if (i_a == st_a) // no more
break;
runningmask_a_found_in_b = _mm_setzero_si128();
v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
}
if (b_max <= a_max) {
// in this code path, the current v_b has become useless
i_b += vectorlength;
if (i_b == st_b) break;
v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
}
}
// at this point, either we have i_a == st_a, which is the end of the
// vectorized processing,
// or we have i_b == st_b, and we are not done processing the vector...
// so we need to finish it off.
if (i_a < st_a) { // we have unfinished business...
uint16_t buffer[8]; // buffer to do a masked load
memset(buffer, 0, 8 * sizeof(uint16_t));
memcpy(buffer, B + i_b, (s_b - i_b) * sizeof(uint16_t));
v_b = _mm_lddqu_si128((__m128i *)buffer);
const __m128i a_found_in_b =
_mm_cmpistrm(v_b, v_a, _SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY |
_SIDD_BIT_MASK);
runningmask_a_found_in_b =
_mm_or_si128(runningmask_a_found_in_b, a_found_in_b);
const int bitmask_belongs_to_difference =
_mm_extract_epi32(runningmask_a_found_in_b, 0) ^ 0xFF;
__m128i sm16 = _mm_load_si128((const __m128i *)shuffle_mask16 +
bitmask_belongs_to_difference);
__m128i p = _mm_shuffle_epi8(v_a, sm16);
_mm_storeu_si128((__m128i *)&C[count], p); // can overflow
count += _mm_popcnt_u32(bitmask_belongs_to_difference);
i_a += vectorlength;
}
// at this point we should have i_a == st_a and i_b == st_b
}
// do the tail using scalar code
while (i_a < s_a && i_b < s_b) {
uint16_t a = A[i_a];
uint16_t b = B[i_b];
if (b < a) {
i_b++;
} else if (a < b) {
C[count] = a;
count++;
i_a++;
} else { //==
i_a++;
i_b++;
}
}
if (i_a < s_a) {
if(C == A) {
assert(count <= i_a);
if(count < i_a) {
memmove(C + count, A + i_a, sizeof(uint16_t) * (s_a - i_a));
}
} else {
for(size_t i = 0; i < (s_a - i_a); i++) {
C[count + i] = A[i + i_a];
}
}
count += (int32_t)(s_a - i_a);
}
return count;
}
#endif // USESSE4
#ifdef USE_OLD_SKEW_INTERSECT
// TODO: given enough experience with the new skew intersect, drop the old one from the code base.
/* Computes the intersection between one small and one large set of uint16_t.
* Stores the result into buffer and return the number of elements. */
int32_t intersect_skewed_uint16(const uint16_t *small, size_t size_s,
const uint16_t *large, size_t size_l,
uint16_t *buffer) {
size_t pos = 0, idx_l = 0, idx_s = 0;
if (0 == size_s) {
return 0;
}
uint16_t val_l = large[idx_l], val_s = small[idx_s];
while (true) {
if (val_l < val_s) {
idx_l = advanceUntil(large, (int32_t)idx_l, (int32_t)size_l, val_s);
if (idx_l == size_l) break;
val_l = large[idx_l];
} else if (val_s < val_l) {
idx_s++;
if (idx_s == size_s) break;
val_s = small[idx_s];
} else {
buffer[pos++] = val_s;
idx_s++;
if (idx_s == size_s) break;
val_s = small[idx_s];
idx_l = advanceUntil(large, (int32_t)idx_l, (int32_t)size_l, val_s);
if (idx_l == size_l) break;
val_l = large[idx_l];
}
}
return (int32_t)pos;
}
#else // USE_OLD_SKEW_INTERSECT
/**
* Branchless binary search going after 4 values at once.
* Assumes that array is sorted.
* You have that array[*index1] >= target1, array[*index12] >= target2, ...
* except when *index1 = n, in which case you know that all values in array are
* smaller than target1, and so forth.
* It has logarithmic complexity.
*/
static void binarySearch4(const uint16_t *array, int32_t n, uint16_t target1,
uint16_t target2, uint16_t target3, uint16_t target4,
int32_t *index1, int32_t *index2, int32_t *index3,
int32_t *index4) {
const uint16_t *base1 = array;
const uint16_t *base2 = array;
const uint16_t *base3 = array;
const uint16_t *base4 = array;
if (n == 0)
return;
while (n > 1) {
int32_t half = n >> 1;
base1 = (base1[half] < target1) ? &base1[half] : base1;
base2 = (base2[half] < target2) ? &base2[half] : base2;
base3 = (base3[half] < target3) ? &base3[half] : base3;
base4 = (base4[half] < target4) ? &base4[half] : base4;
n -= half;
}
*index1 = (int32_t)((*base1 < target1) + base1 - array);
*index2 = (int32_t)((*base2 < target2) + base2 - array);
*index3 = (int32_t)((*base3 < target3) + base3 - array);
*index4 = (int32_t)((*base4 < target4) + base4 - array);
}
/**
* Branchless binary search going after 2 values at once.
* Assumes that array is sorted.
* You have that array[*index1] >= target1, array[*index12] >= target2.
* except when *index1 = n, in which case you know that all values in array are
* smaller than target1, and so forth.
* It has logarithmic complexity.
*/
static void binarySearch2(const uint16_t *array, int32_t n, uint16_t target1,
uint16_t target2, int32_t *index1, int32_t *index2) {
const uint16_t *base1 = array;
const uint16_t *base2 = array;
if (n == 0)
return;
while (n > 1) {
int32_t half = n >> 1;
base1 = (base1[half] < target1) ? &base1[half] : base1;
base2 = (base2[half] < target2) ? &base2[half] : base2;
n -= half;
}
*index1 = (int32_t)((*base1 < target1) + base1 - array);
*index2 = (int32_t)((*base2 < target2) + base2 - array);
}
/* Computes the intersection between one small and one large set of uint16_t.
* Stores the result into buffer and return the number of elements.
* Processes the small set in blocks of 4 values calling binarySearch4
* and binarySearch2. This approach can be slightly superior to a conventional
* galloping search in some instances.
*/
int32_t intersect_skewed_uint16(const uint16_t *small, size_t size_s,
const uint16_t *large, size_t size_l,
uint16_t *buffer) {
size_t pos = 0, idx_l = 0, idx_s = 0;
if (0 == size_s) {
return 0;
}
int32_t index1 = 0, index2 = 0, index3 = 0, index4 = 0;
while ((idx_s + 4 <= size_s) && (idx_l < size_l)) {
uint16_t target1 = small[idx_s];
uint16_t target2 = small[idx_s + 1];
uint16_t target3 = small[idx_s + 2];
uint16_t target4 = small[idx_s + 3];
binarySearch4(large + idx_l, (int32_t)(size_l - idx_l), target1, target2, target3,
target4, &index1, &index2, &index3, &index4);
if ((index1 + idx_l < size_l) && (large[idx_l + index1] == target1)) {
buffer[pos++] = target1;
}
if ((index2 + idx_l < size_l) && (large[idx_l + index2] == target2)) {
buffer[pos++] = target2;
}
if ((index3 + idx_l < size_l) && (large[idx_l + index3] == target3)) {
buffer[pos++] = target3;
}
if ((index4 + idx_l < size_l) && (large[idx_l + index4] == target4)) {
buffer[pos++] = target4;
}
idx_s += 4;
idx_l += index4;
}
if ((idx_s + 2 <= size_s) && (idx_l < size_l)) {
uint16_t target1 = small[idx_s];
uint16_t target2 = small[idx_s + 1];
binarySearch2(large + idx_l, (int32_t)(size_l - idx_l), target1, target2, &index1,
&index2);
if ((index1 + idx_l < size_l) && (large[idx_l + index1] == target1)) {
buffer[pos++] = target1;
}
if ((index2 + idx_l < size_l) && (large[idx_l + index2] == target2)) {
buffer[pos++] = target2;
}
idx_s += 2;
idx_l += index2;
}
if ((idx_s < size_s) && (idx_l < size_l)) {
uint16_t val_s = small[idx_s];
int32_t index = binarySearch(large + idx_l, (int32_t)(size_l - idx_l), val_s);
if (index >= 0)
buffer[pos++] = val_s;
}
return (int32_t)pos;
}
#endif //USE_OLD_SKEW_INTERSECT
// TODO: this could be accelerated, possibly, by using binarySearch4 as above.
int32_t intersect_skewed_uint16_cardinality(const uint16_t *small,
size_t size_s,
const uint16_t *large,
size_t size_l) {
size_t pos = 0, idx_l = 0, idx_s = 0;
if (0 == size_s) {
return 0;
}
uint16_t val_l = large[idx_l], val_s = small[idx_s];
while (true) {
if (val_l < val_s) {
idx_l = advanceUntil(large, (int32_t)idx_l, (int32_t)size_l, val_s);
if (idx_l == size_l) break;
val_l = large[idx_l];
} else if (val_s < val_l) {
idx_s++;
if (idx_s == size_s) break;
val_s = small[idx_s];
} else {
pos++;
idx_s++;
if (idx_s == size_s) break;
val_s = small[idx_s];
idx_l = advanceUntil(large, (int32_t)idx_l, (int32_t)size_l, val_s);
if (idx_l == size_l) break;
val_l = large[idx_l];
}
}
return (int32_t)pos;
}
bool intersect_skewed_uint16_nonempty(const uint16_t *small, size_t size_s,
const uint16_t *large, size_t size_l) {
size_t idx_l = 0, idx_s = 0;
if (0 == size_s) {
return false;
}
uint16_t val_l = large[idx_l], val_s = small[idx_s];
while (true) {
if (val_l < val_s) {
idx_l = advanceUntil(large, (int32_t)idx_l, (int32_t)size_l, val_s);
if (idx_l == size_l) break;
val_l = large[idx_l];
} else if (val_s < val_l) {
idx_s++;
if (idx_s == size_s) break;
val_s = small[idx_s];
} else {
return true;
}
}
return false;
}
/**
* Generic intersection function.
*/
int32_t intersect_uint16(const uint16_t *A, const size_t lenA,
const uint16_t *B, const size_t lenB, uint16_t *out) {
const uint16_t *initout = out;
if (lenA == 0 || lenB == 0) return 0;
const uint16_t *endA = A + lenA;
const uint16_t *endB = B + lenB;
while (1) {
while (*A < *B) {
SKIP_FIRST_COMPARE:
if (++A == endA) return (int32_t)(out - initout);
}
while (*A > *B) {
if (++B == endB) return (int32_t)(out - initout);
}
if (*A == *B) {
*out++ = *A;
if (++A == endA || ++B == endB) return (int32_t)(out - initout);
} else {
goto SKIP_FIRST_COMPARE;
}
}
return (int32_t)(out - initout); // NOTREACHED
}
int32_t intersect_uint16_cardinality(const uint16_t *A, const size_t lenA,
const uint16_t *B, const size_t lenB) {
int32_t answer = 0;
if (lenA == 0 || lenB == 0) return 0;
const uint16_t *endA = A + lenA;
const uint16_t *endB = B + lenB;
while (1) {
while (*A < *B) {
SKIP_FIRST_COMPARE:
if (++A == endA) return answer;
}
while (*A > *B) {
if (++B == endB) return answer;
}
if (*A == *B) {
++answer;
if (++A == endA || ++B == endB) return answer;
} else {
goto SKIP_FIRST_COMPARE;
}
}
return answer; // NOTREACHED
}
bool intersect_uint16_nonempty(const uint16_t *A, const size_t lenA,
const uint16_t *B, const size_t lenB) {
if (lenA == 0 || lenB == 0) return 0;
const uint16_t *endA = A + lenA;
const uint16_t *endB = B + lenB;
while (1) {
while (*A < *B) {
SKIP_FIRST_COMPARE:
if (++A == endA) return false;
}
while (*A > *B) {
if (++B == endB) return false;
}
if (*A == *B) {
return true;
} else {
goto SKIP_FIRST_COMPARE;
}
}
return false; // NOTREACHED
}
/**
* Generic intersection function.
*/
size_t intersection_uint32(const uint32_t *A, const size_t lenA,
const uint32_t *B, const size_t lenB,
uint32_t *out) {
const uint32_t *initout = out;
if (lenA == 0 || lenB == 0) return 0;
const uint32_t *endA = A + lenA;
const uint32_t *endB = B + lenB;
while (1) {
while (*A < *B) {
SKIP_FIRST_COMPARE:
if (++A == endA) return (out - initout);
}
while (*A > *B) {
if (++B == endB) return (out - initout);
}
if (*A == *B) {
*out++ = *A;
if (++A == endA || ++B == endB) return (out - initout);
} else {
goto SKIP_FIRST_COMPARE;
}
}
return (out - initout); // NOTREACHED
}
size_t intersection_uint32_card(const uint32_t *A, const size_t lenA,
const uint32_t *B, const size_t lenB) {
if (lenA == 0 || lenB == 0) return 0;
size_t card = 0;