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#include <stdint.h>
#if defined(USE_SSE_4_1)
#include <smmintrin.h>
#endif
#if defined(__GNUC__)
#define PREFETCH_READ(x) (__builtin_prefetch(x, 0, 3))
#define PREFETCH_WRITE(x) (__builtin_prefetch(x, 1, 3))
#else
#define PREFETCH_READ(x)
#define PREFETCH_WRITE(x)
#endif
void prefetchCacheLine32_write(uint32_t* line, int start)
{
PREFETCH_WRITE((void*)(&line[start]));
}
void prefetchCacheLine64_write(uint64_t* line, int start)
{
PREFETCH_WRITE((void*)(&line[start]));
}
void prefetchCacheLine32_read(uint32_t* line, int start)
{
PREFETCH_READ((void*)(&line[start]));
}
void prefetchCacheLine64_read(uint64_t* line, int start)
{
PREFETCH_READ((void*)(&line[start]));
}
int forwardSearch32_2(uint32_t* array, int start, int end,
uint32_t x1, uint32_t x2) {
uint32_t* ep = array + end;
uint32_t* p = array + start;
while (1) {
if (p == ep) p = array;
if (*p == x1 || *p == x2) return p - array;
++p;
}
}
int forwardSearch32_3(uint32_t* array, int start, int end,
uint32_t x1, uint32_t x2, uint32_t x3) {
uint32_t* ep = array + end;
uint32_t* p = array + start;
while (1) {
if (p == ep) p = array;
if (*p == x1 || *p == x2 || *p == x3) return p - array;
++p;
}
}
int forwardSearch64_2(uint64_t* array, int start, int end,
uint64_t x1, uint64_t x2) {
uint64_t* ep = array + end;
uint64_t* p = array + start;
while (1) {
if (p == ep) p = array;
if (*p == x1 || *p == x2) return p - array;
++p;
}
}
int forwardSearch64_3(uint64_t* array, int start, int end,
uint64_t x1, uint64_t x2, uint64_t x3) {
uint64_t* ep = array + end;
uint64_t* p = array + start;
while (1) {
if (p == ep) p = array;
if (*p == x1 || *p == x2 || *p == x3) return p - array;
++p;
}
}
//----------------------------------------------------------------------------
// cache line search functions
// First: 32 bit
inline int mask(int a, int b) { return -(a == b); }
uint8_t deBruijnBitPositions[] = {
0, 1, 28, 2, 29, 14, 24, 3, 30, 22, 20, 15, 25, 17, 4, 8,
31, 27, 13, 23, 21, 19, 16, 7, 26, 12, 18, 6, 11, 5, 10, 9
};
int firstBitSet(int a) {
int zeroCase = mask(0, a);
uint32_t x = (uint32_t) (a & -a);
x *= 0x077CB531;
x >>= 27;
return zeroCase | deBruijnBitPositions[x];
}
int32_t lineResult32(int m, int start) {
int p = firstBitSet(m);
int32_t mm = mask(p, -1);
return mm | (~mm & (start + p));
}
uint32_t lineMask32(uint32_t* array, int start, uint32_t value) {
uint32_t* p = array + start;
uint32_t m = 0;
int offset = start & 0xf;
switch (offset) {
case 0: m |= mask(*p++, value) & 0x1;
case 1: m |= mask(*p++, value) & 0x2;
case 2: m |= mask(*p++, value) & 0x4;
case 3: m |= mask(*p++, value) & 0x8;
case 4: m |= mask(*p++, value) & 0x10;
case 5: m |= mask(*p++, value) & 0x20;
case 6: m |= mask(*p++, value) & 0x40;
case 7: m |= mask(*p++, value) & 0x80;
case 8: m |= mask(*p++, value) & 0x100;
case 9: m |= mask(*p++, value) & 0x200;
case 10: m |= mask(*p++, value) & 0x400;
case 11: m |= mask(*p++, value) & 0x800;
case 12: m |= mask(*p++, value) & 0x1000;
case 13: m |= mask(*p++, value) & 0x2000;
case 14: m |= mask(*p++, value) & 0x4000;
case 15: m |= mask(*p++, value) & 0x8000;
}
return m >> offset;
}
int lineSearch32(uint32_t* array, int start, uint32_t value) {
uint32_t m = lineMask32(array, start, value);
return lineResult32((int)m, start);
}
uint32_t lineMask32_2(uint32_t* array, int start, uint32_t x1, uint32_t x2) {
uint32_t* p = array + start;
uint32_t m = 0;
int offset = start & 0xf;
switch (offset) {
case 0: m |= (mask(*p, x1) | mask(*p, x2)) & 0x1; ++p;
case 1: m |= (mask(*p, x1) | mask(*p, x2)) & 0x2; ++p;
case 2: m |= (mask(*p, x1) | mask(*p, x2)) & 0x4; ++p;
case 3: m |= (mask(*p, x1) | mask(*p, x2)) & 0x8; ++p;
case 4: m |= (mask(*p, x1) | mask(*p, x2)) & 0x10; ++p;
case 5: m |= (mask(*p, x1) | mask(*p, x2)) & 0x20; ++p;
case 6: m |= (mask(*p, x1) | mask(*p, x2)) & 0x40; ++p;
case 7: m |= (mask(*p, x1) | mask(*p, x2)) & 0x80; ++p;
case 8: m |= (mask(*p, x1) | mask(*p, x2)) & 0x100; ++p;
case 9: m |= (mask(*p, x1) | mask(*p, x2)) & 0x200; ++p;
case 10: m |= (mask(*p, x1) | mask(*p, x2)) & 0x400; ++p;
case 11: m |= (mask(*p, x1) | mask(*p, x2)) & 0x800; ++p;
case 12: m |= (mask(*p, x1) | mask(*p, x2)) & 0x1000; ++p;
case 13: m |= (mask(*p, x1) | mask(*p, x2)) & 0x2000; ++p;
case 14: m |= (mask(*p, x1) | mask(*p, x2)) & 0x4000; ++p;
case 15: m |= (mask(*p, x1) | mask(*p, x2)) & 0x8000; ++p;
}
return m >> offset;
}
int lineSearch32_2(uint32_t* array, int start, uint32_t x1, uint32_t x2) {
uint32_t m = lineMask32_2(array, start, x1, x2);
return lineResult32((int)m, start);
}
uint32_t lineMask32_3(uint32_t* array, int start,
uint32_t x1, uint32_t x2, uint32_t x3) {
uint32_t* p = array + start;
uint32_t m = 0;
int offset = start & 0xf;
switch (offset) {
case 0: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x1; ++p;
case 1: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x2; ++p;
case 2: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x4; ++p;
case 3: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x8; ++p;
case 4: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x10; ++p;
case 5: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x20; ++p;
case 6: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x40; ++p;
case 7: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x80; ++p;
case 8: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x100; ++p;
case 9: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x200; ++p;
case 10: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x400; ++p;
case 11: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x800; ++p;
case 12: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x1000; ++p;
case 13: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x2000; ++p;
case 14: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x4000; ++p;
case 15: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x8000; ++p;
}
return m >> offset;
}
int lineSearch32_3(uint32_t* array, int start,
uint32_t x1, uint32_t x2, uint32_t x3) {
uint32_t m = lineMask32_3(array, start, x1, x2, x3);
return lineResult32((int)m, start);
}
//----------------------------------------------------------------------------
// Now: 64-bit. If USE_SSE_4_1 is on, we will use SSE4.1 SIMD instructions to
// search the cache line super-efficiently.
#if defined(USE_SSE_4_1)
inline uint64_t mask_to_mask2(__m128i m) {
int mask16 = _mm_movemask_epi8(m);
// output of _mm_movemask_epi8 is a 16-bit word where bit i is 1 iff the
// most significant bit of byte i of the mask is 1
int m1 = mask16 & 0x1;
int m2 = (mask16 & 0x100) >> 7;
return (uint64_t) (m1 | m2);
}
inline uint64_t cmp_and_mask(__m128i val, __m128i x0) {
__m128i mask1 = _mm_cmpeq_epi64(val, x0);
return mask_to_mask2(mask1);
}
inline uint64_t cmp_and_mask_2(__m128i val, __m128i x0, __m128i x1) {
__m128i mask1 = _mm_cmpeq_epi64(val, x0);
__m128i mask2 = _mm_cmpeq_epi64(val, x1);
mask1 = _mm_or_si128(mask1, mask2);
return mask_to_mask2(mask1);
}
inline uint64_t cmp_and_mask_3(__m128i val, __m128i x0, __m128i x1,
__m128i x2) {
__m128i mask1 = _mm_cmpeq_epi64(val, x0);
__m128i mask2 = _mm_cmpeq_epi64(val, x1);
__m128i mask3 = _mm_cmpeq_epi64(val, x2);
mask1 = _mm_or_si128(mask1, mask2);
mask1 = _mm_or_si128(mask1, mask3);
return mask_to_mask2(mask1);
}
uint64_t lineMask64(uint64_t* array, int start0, uint64_t v1) {
int offset = start0 & 0x7;
int start = start0 & ~0x7;
__m128i* p = (__m128i*) (&array[start]);
__m128i x1 = _mm_cvtsi32_si128(0);
x1 = _mm_insert_epi64(x1, v1, 0);
x1 = _mm_insert_epi64(x1, v1, 1);
uint64_t dest_mask = 0;
// x1 contains two 64-bit copies of the value to look for
// words 0, 1
__m128i x = _mm_load_si128(p);
dest_mask = cmp_and_mask(x, x1);
p = (__m128i*) (&array[start+2]);
// words 2, 3
x = _mm_load_si128(p);
dest_mask |= (cmp_and_mask(x, x1) << 2);
p = (__m128i*) (&array[start+4]);
// words 4, 5
x = _mm_load_si128(p);
dest_mask |= (cmp_and_mask(x, x1) << 4);
p = (__m128i*) (&array[start+6]);
// words 6, 7
x = _mm_load_si128(p);
dest_mask |= (cmp_and_mask(x, x1) << 6);
return dest_mask >> offset;
}
uint64_t lineMask64_2(uint64_t* array, int start0, uint64_t v1, uint64_t v2) {
int offset = start0 & 0x7;
int start = start0 & ~0x7;
__m128i* p = (__m128i*) (&array[start]);
__m128i x1 = _mm_cvtsi32_si128(0);
x1 = _mm_insert_epi64(x1, v1, 0);
x1 = _mm_insert_epi64(x1, v1, 1);
__m128i x2 = _mm_cvtsi32_si128(0);
x2 = _mm_insert_epi64(x2, v2, 0);
x2 = _mm_insert_epi64(x2, v2, 1);
uint64_t dest_mask = 0;
// words 0, 1
__m128i x = _mm_load_si128(p);
dest_mask = cmp_and_mask_2(x, x1, x2);
p = (__m128i*) (&array[start+2]);
// words 2, 3
x = _mm_load_si128(p);
dest_mask |= (cmp_and_mask_2(x, x1, x2) << 2);
p = (__m128i*) (&array[start+4]);
// words 4, 5
x = _mm_load_si128(p);
dest_mask |= (cmp_and_mask_2(x, x1, x2) << 4);
p = (__m128i*) (&array[start+6]);
// words 6, 7
x = _mm_load_si128(p);
dest_mask |= (cmp_and_mask_2(x, x1, x2) << 6);
return dest_mask >> offset;
}
uint64_t lineMask64_3(uint64_t* array, int start0,
uint64_t v1, uint64_t v2, uint64_t v3) {
int offset = start0 & 0x7;
int start = start0 & ~0x7;
__m128i* p = (__m128i*) (&array[start]);
__m128i x1 = _mm_cvtsi32_si128(0);
x1 = _mm_insert_epi64(x1, v1, 0);
x1 = _mm_insert_epi64(x1, v1, 1);
__m128i x2 = _mm_cvtsi32_si128(0);
x2 = _mm_insert_epi64(x2, v2, 0);
x2 = _mm_insert_epi64(x2, v2, 1);
__m128i x3 = _mm_cvtsi32_si128(0);
x3 = _mm_insert_epi64(x3, v3, 0);
x3 = _mm_insert_epi64(x3, v3, 1);
uint64_t dest_mask = 0;
// words 0, 1
__m128i x = _mm_load_si128(p);
dest_mask = cmp_and_mask_3(x, x1, x2, x3);
p = (__m128i*) (&array[start+2]);
// words 2, 3
x = _mm_load_si128(p);
dest_mask |= (cmp_and_mask_3(x, x1, x2, x3) << 2);
p = (__m128i*) (&array[start+4]);
// words 4, 5
x = _mm_load_si128(p);
dest_mask |= (cmp_and_mask_3(x, x1, x2, x3) << 4);
p = (__m128i*) (&array[start+6]);
// words 6, 7
x = _mm_load_si128(p);
dest_mask |= (cmp_and_mask_3(x, x1, x2, x3) << 6);
return dest_mask >> offset;
}
#else
uint64_t lineMask64(uint64_t* array, int start, uint64_t value) {
uint64_t* p = array + start;
uint64_t m = 0;
int offset = start & 0x7;
switch (offset) {
case 0: m |= mask(*p++, value) & 0x1;
case 1: m |= mask(*p++, value) & 0x2;
case 2: m |= mask(*p++, value) & 0x4;
case 3: m |= mask(*p++, value) & 0x8;
case 4: m |= mask(*p++, value) & 0x10;
case 5: m |= mask(*p++, value) & 0x20;
case 6: m |= mask(*p++, value) & 0x40;
case 7: m |= mask(*p++, value) & 0x80;
}
return m >> offset;
}
uint64_t lineMask64_2(uint64_t* array, int start, uint64_t x1, uint64_t x2) {
uint64_t* p = array + start;
uint64_t m = 0;
int offset = start & 0x7;
switch (offset) {
case 0: m |= (mask(*p, x1) | mask(*p, x2)) & 0x1; ++p;
case 1: m |= (mask(*p, x1) | mask(*p, x2)) & 0x2; ++p;
case 2: m |= (mask(*p, x1) | mask(*p, x2)) & 0x4; ++p;
case 3: m |= (mask(*p, x1) | mask(*p, x2)) & 0x8; ++p;
case 4: m |= (mask(*p, x1) | mask(*p, x2)) & 0x10; ++p;
case 5: m |= (mask(*p, x1) | mask(*p, x2)) & 0x20; ++p;
case 6: m |= (mask(*p, x1) | mask(*p, x2)) & 0x40; ++p;
case 7: m |= (mask(*p, x1) | mask(*p, x2)) & 0x80; ++p;
}
return m >> offset;
}
uint64_t lineMask64_3(uint64_t* array, int start,
uint64_t x1, uint64_t x2, uint64_t x3) {
uint64_t* p = array + start;
uint64_t m = 0;
int offset = start & 0x7;
switch (offset) {
case 0: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x1; ++p;
case 1: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x2; ++p;
case 2: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x4; ++p;
case 3: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x8; ++p;
case 4: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x10; ++p;
case 5: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x20; ++p;
case 6: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x40; ++p;
case 7: m |= (mask(*p, x1) | mask(*p, x2) | mask(*p, x3)) & 0x80; ++p;
}
return m >> offset;
}
#endif // USE_SSE_4_1
int64_t lineResult64(int64_t m, int64_t start) {
int p = firstBitSet((int)m);
int64_t mm = (int64_t) mask(p, -1);
return mm | (~mm & (start + p));
}
int lineSearch64(uint64_t* array, int start, uint64_t value) {
uint64_t m = lineMask64(array, start, value);
return lineResult64((int)m, start);
}
int lineSearch64_2(uint64_t* array, int start, uint64_t x1, uint64_t x2) {
uint64_t m = lineMask64_2(array, start, x1, x2);
return lineResult64((int)m, start);
}
int lineSearch64_3(uint64_t* array, int start,
uint64_t x1, uint64_t x2, uint64_t x3) {
uint64_t m = lineMask64_3(array, start, x1, x2, x3);
return lineResult64((int)m, start);
}
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