#include "l2_distance.h"
#include <library/cpp/sse/sse.h>
#include <contrib/libs/cblas/include/cblas.h>
#include <util/system/platform.h>
template <typename Result, typename Number>
inline Result SqrDelta(Number a, Number b) {
Result diff = a < b ? b - a : a - b;
return diff * diff;
}
template <typename Result, typename Number>
inline Result L2SqrDistanceImpl(const Number* a, const Number* b, int length) {
Result res = 0;
for (int i = 0; i < length; i++) {
res += SqrDelta<Result, Number>(a[i], b[i]);
}
return res;
}
template <typename Result, typename Number>
inline Result L2SqrDistanceImpl2(const Number* a, const Number* b, int length) {
Result s0 = 0;
Result s1 = 0;
while (length >= 2) {
s0 += SqrDelta<Result, Number>(a[0], b[0]);
s1 += SqrDelta<Result, Number>(a[1], b[1]);
a += 2;
b += 2;
length -= 2;
}
while (length--)
s0 += SqrDelta<Result, Number>(*a++, *b++);
return s0 + s1;
}
template <typename Result, typename Number>
inline Result L2SqrDistanceImpl4(const Number* a, const Number* b, int length) {
Result s0 = 0;
Result s1 = 0;
Result s2 = 0;
Result s3 = 0;
while (length >= 4) {
s0 += SqrDelta<Result, Number>(a[0], b[0]);
s1 += SqrDelta<Result, Number>(a[1], b[1]);
s2 += SqrDelta<Result, Number>(a[2], b[2]);
s3 += SqrDelta<Result, Number>(a[3], b[3]);
a += 4;
b += 4;
length -= 4;
}
while (length--)
s0 += SqrDelta<Result, Number>(*a++, *b++);
return s0 + s1 + s2 + s3;
}
inline ui32 L2SqrDistanceImplUI4(const ui8* a, const ui8* b, int length) {
ui32 res = 0;
for (int i = 0; i < length; i++) {
res += SqrDelta<ui32, ui8>(a[i] & 0x0f, b[i] & 0x0f);
res += SqrDelta<ui32, ui8>(a[i] & 0xf0, b[i] & 0xf0) >> 8;
}
return res;
}
#ifdef ARCADIA_SSE
namespace NL2Distance {
static const __m128i MASK_UI4_1 = _mm_set_epi8(0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f,
0x0f, 0x0f, 0x0f, 0x0f, 0x0f);
static const __m128i MASK_UI4_2 = _mm_set_epi8(0xf0, 0xf0, 0xf0, 0xf0, 0xf0, 0xf0, 0xf0, 0xf0, 0xf0, 0xf0, 0xf0,
0xf0, 0xf0, 0xf0, 0xf0, 0xf0);
}
ui32 L2SqrDistance(const i8* lhs, const i8* rhs, int length) {
const __m128i zero = _mm_setzero_si128();
__m128i resVec = zero;
while (length >= 16) {
__m128i vec = _mm_subs_epi8(_mm_loadu_si128((const __m128i*)lhs), _mm_loadu_si128((const __m128i*)rhs));
#ifdef _sse4_1_
__m128i lo = _mm_cvtepi8_epi16(vec);
__m128i hi = _mm_cvtepi8_epi16(_mm_alignr_epi8(vec, vec, 8));
#else
__m128i lo = _mm_srai_epi16(_mm_unpacklo_epi8(zero, vec), 8);
__m128i hi = _mm_srai_epi16(_mm_unpackhi_epi8(zero, vec), 8);
#endif
resVec = _mm_add_epi32(resVec,
_mm_add_epi32(_mm_madd_epi16(lo, lo), _mm_madd_epi16(hi, hi)));
lhs += 16;
rhs += 16;
length -= 16;
}
alignas(16) ui32 res[4];
_mm_store_si128((__m128i*)res, resVec);
ui32 sum = res[0] + res[1] + res[2] + res[3];
for (int i = 0; i < length; ++i) {
sum += Sqr(static_cast<i32>(lhs[i]) - static_cast<i32>(rhs[i]));
}
return sum;
}
ui32 L2SqrDistance(const ui8* lhs, const ui8* rhs, int length) {
const __m128i zero = _mm_setzero_si128();
__m128i resVec = zero;
while (length >= 16) {
__m128i lVec = _mm_loadu_si128((const __m128i*)lhs);
__m128i rVec = _mm_loadu_si128((const __m128i*)rhs);
// We will think about this vectors as about i16.
__m128i lo = _mm_sub_epi16(_mm_unpacklo_epi8(lVec, zero), _mm_unpacklo_epi8(rVec, zero));
__m128i hi = _mm_sub_epi16(_mm_unpackhi_epi8(lVec, zero), _mm_unpackhi_epi8(rVec, zero));
resVec = _mm_add_epi32(resVec,
_mm_add_epi32(_mm_madd_epi16(lo, lo), _mm_madd_epi16(hi, hi)));
lhs += 16;
rhs += 16;
length -= 16;
}
alignas(16) ui32 res[4];
_mm_store_si128((__m128i*)res, resVec);
ui32 sum = res[0] + res[1] + res[2] + res[3];
for (int i = 0; i < length; ++i) {
sum += Sqr(static_cast<i32>(lhs[i]) - static_cast<i32>(rhs[i]));
}
return sum;
}
float L2SqrDistance(const float* lhs, const float* rhs, int length) {
__m128 sum = _mm_setzero_ps();
while (length >= 4) {
__m128 a = _mm_loadu_ps(lhs);
__m128 b = _mm_loadu_ps(rhs);
__m128 delta = _mm_sub_ps(a, b);
sum = _mm_add_ps(sum, _mm_mul_ps(delta, delta));
length -= 4;
rhs += 4;
lhs += 4;
}
alignas(16) float res[4];
_mm_store_ps(res, sum);
while (length--)
res[0] += Sqr(*rhs++ - *lhs++);
return res[0] + res[1] + res[2] + res[3];
}
double L2SqrDistance(const double* lhs, const double* rhs, int length) {
__m128d sum = _mm_setzero_pd();
while (length >= 2) {
__m128d a = _mm_loadu_pd(lhs);
__m128d b = _mm_loadu_pd(rhs);
__m128d delta = _mm_sub_pd(a, b);
sum = _mm_add_pd(sum, _mm_mul_pd(delta, delta));
length -= 2;
rhs += 2;
lhs += 2;
}
alignas(16) double res[2];
_mm_store_pd(res, sum);
while (length--)
res[0] += Sqr(*rhs++ - *lhs++);
return res[0] + res[1];
}
ui64 L2SqrDistance(const i32* lhs, const i32* rhs, int length) {
__m128i zero = _mm_setzero_si128();
__m128i res = zero;
while (length >= 4) {
__m128i a = _mm_loadu_si128((const __m128i*)lhs);
__m128i b = _mm_loadu_si128((const __m128i*)rhs);
#ifdef _sse4_1_
// In SSE4.1 si32*si32->si64 is available, so we may do just (a-b)*(a-b) not caring about (a-b) sign
a = _mm_sub_epi32(a, b);
res = _mm_add_epi64(_mm_mul_epi32(a, a), res);
a = _mm_alignr_epi8(a, a, 4);
res = _mm_add_epi64(_mm_mul_epi32(a, a), res);
#else
__m128i mask = _mm_cmpgt_epi32(a, b); // mask = a > b? 0xffffffff: 0;
__m128i a2 = _mm_sub_epi32(_mm_and_si128(mask, a), _mm_and_si128(mask, b)); // a2 = (a & mask) - (b & mask) (for a > b)
b = _mm_sub_epi32(_mm_andnot_si128(mask, b), _mm_andnot_si128(mask, a)); // b = (b & ~mask) - (a & ~mask) (for b > a)
a = _mm_or_si128(a2, b); // a = abs(a - b)
a2 = _mm_unpackhi_epi32(a, zero);
res = _mm_add_epi64(_mm_mul_epu32(a2, a2), res);
a2 = _mm_unpacklo_epi32(a, zero);
res = _mm_add_epi64(_mm_mul_epu32(a2, a2), res);
#endif
rhs += 4;
lhs += 4;
length -= 4;
}
alignas(16) ui64 r[2];
_mm_store_si128((__m128i*)r, res);
ui64 sum = r[0] + r[1];
while (length) {
sum += SqrDelta<ui64, i32>(lhs[0], rhs[0]);
++lhs;
++rhs;
--length;
}
return sum;
}
ui64 L2SqrDistance(const ui32* lhs, const ui32* rhs, int length) {
__m128i zero = _mm_setzero_si128();
__m128i shift = _mm_set1_epi32(0x80000000);
__m128i res = zero;
while (length >= 4) {
__m128i a = _mm_add_epi32(_mm_loadu_si128((const __m128i*)lhs), shift);
__m128i b = _mm_add_epi32(_mm_loadu_si128((const __m128i*)rhs), shift);
__m128i mask = _mm_cmpgt_epi32(a, b); // mask = a > b? 0xffffffff: 0;
__m128i a2 = _mm_sub_epi32(_mm_and_si128(mask, a), _mm_and_si128(mask, b)); // a2 = (a & mask) - (b & mask) (for a > b)
b = _mm_sub_epi32(_mm_andnot_si128(mask, b), _mm_andnot_si128(mask, a)); // b = (b & ~mask) - (a & ~mask) (for b > a)
a = _mm_or_si128(a2, b); // a = abs(a - b)
#ifdef _sse4_1_
res = _mm_add_epi64(_mm_mul_epu32(a, a), res);
a = _mm_alignr_epi8(a, a, 4);
res = _mm_add_epi64(_mm_mul_epu32(a, a), res);
#else
a2 = _mm_unpackhi_epi32(a, zero);
res = _mm_add_epi64(_mm_mul_epu32(a2, a2), res);
a2 = _mm_unpacklo_epi32(a, zero);
res = _mm_add_epi64(_mm_mul_epu32(a2, a2), res);
#endif
rhs += 4;
lhs += 4;
length -= 4;
}
alignas(16) ui64 r[2];
_mm_store_si128((__m128i*)r, res);
ui64 sum = r[0] + r[1];
while (length) {
sum += SqrDelta<ui64, ui32>(lhs[0], rhs[0]);
++lhs;
++rhs;
--length;
}
return sum;
}
ui32 L2SqrDistanceUI4(const ui8* lhs, const ui8* rhs, int length) {
const __m128i zero = _mm_setzero_si128();
__m128i resVec1 = zero;
__m128i resVec2 = zero;
while (length >= 16) {
__m128i lVec = _mm_loadu_si128((const __m128i*)lhs);
__m128i rVec = _mm_loadu_si128((const __m128i*)rhs);
__m128i lVec1 = _mm_and_si128(lVec, NL2Distance::MASK_UI4_1);
__m128i lVec2 = _mm_and_si128(lVec, NL2Distance::MASK_UI4_2);
__m128i rVec1 = _mm_and_si128(rVec, NL2Distance::MASK_UI4_1);
__m128i rVec2 = _mm_and_si128(rVec, NL2Distance::MASK_UI4_2);
// We will think about this vectors as about i16.
__m128i lo1 = _mm_sub_epi16(_mm_unpacklo_epi8(lVec1, zero), _mm_unpacklo_epi8(rVec1, zero));
__m128i hi1 = _mm_sub_epi16(_mm_unpackhi_epi8(lVec1, zero), _mm_unpackhi_epi8(rVec1, zero));
__m128i lo2 = _mm_sub_epi16(_mm_unpacklo_epi8(lVec2, zero), _mm_unpacklo_epi8(rVec2, zero));
__m128i hi2 = _mm_sub_epi16(_mm_unpackhi_epi8(lVec2, zero), _mm_unpackhi_epi8(rVec2, zero));
resVec1 = _mm_add_epi32(resVec1, _mm_add_epi32(_mm_madd_epi16(lo1, lo1), _mm_madd_epi16(hi1, hi1)));
resVec2 = _mm_add_epi32(resVec2, _mm_add_epi32(_mm_madd_epi16(lo2, lo2), _mm_madd_epi16(hi2, hi2)));
lhs += 16;
rhs += 16;
length -= 16;
}
alignas(16) ui32 res[4];
_mm_store_si128((__m128i*)res, resVec1);
ui32 sum = res[0] + res[1] + res[2] + res[3];
_mm_store_si128((__m128i*)res, resVec2);
sum += (res[0] + res[1] + res[2] + res[3]) >> 8;
for (int i = 0; i < length; ++i) {
sum += Sqr(static_cast<i32>(lhs[i] & 0x0f) - static_cast<i32>(rhs[i] & 0x0f));
sum += Sqr(static_cast<i32>(lhs[i] & 0xf0) - static_cast<i32>(rhs[i] & 0xf0)) >> 8;
}
return sum;
}
#else /* !ARCADIA_SSE */
ui32 L2SqrDistance(const i8* lhs, const i8* rhs, int length) {
return L2SqrDistanceImpl<ui32, i8>(lhs, rhs, length);
}
ui32 L2SqrDistance(const ui8* lhs, const ui8* rhs, int length) {
return L2SqrDistanceImpl<ui32, ui8>(lhs, rhs, length);
}
ui64 L2SqrDistance(const i32* a, const i32* b, int length) {
return L2SqrDistanceImpl2<ui64, i32>(a, b, length);
}
ui64 L2SqrDistance(const ui32* a, const ui32* b, int length) {
return L2SqrDistanceImpl2<ui64, ui32>(a, b, length);
}
float L2SqrDistance(const float* a, const float* b, int length) {
return L2SqrDistanceImpl4<float, float>(a, b, length);
}
double L2SqrDistance(const double* a, const double* b, int length) {
return L2SqrDistanceImpl2<double, double>(a, b, length);
}
ui32 L2SqrDistanceUI4(const ui8* lhs, const ui8* rhs, int length) {
return L2SqrDistanceImplUI4(lhs, rhs, length);
}
#endif /* ARCADIA_SSE */
ui32 L2SqrDistanceSlow(const i8* lhs, const i8* rhs, int length) {
return L2SqrDistanceImpl<ui32, i8>(lhs, rhs, length);
}
ui32 L2SqrDistanceSlow(const ui8* lhs, const ui8* rhs, int length) {
return L2SqrDistanceImpl<ui32, ui8>(lhs, rhs, length);
}
ui64 L2SqrDistanceSlow(const i32* a, const i32* b, int length) {
return L2SqrDistanceImpl2<ui64, i32>(a, b, length);
}
ui64 L2SqrDistanceSlow(const ui32* a, const ui32* b, int length) {
return L2SqrDistanceImpl2<ui64, ui32>(a, b, length);
}
float L2SqrDistanceSlow(const float* a, const float* b, int length) {
return L2SqrDistanceImpl4<float, float>(a, b, length);
}
double L2SqrDistanceSlow(const double* a, const double* b, int length) {
return L2SqrDistanceImpl2<double, double>(a, b, length);
}
ui32 L2SqrDistanceUI4Slow(const ui8* lhs, const ui8* rhs, int length) {
return L2SqrDistanceImplUI4(lhs, rhs, length);
}