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authorazevaykin <azevaykin@yandex-team.com>2024-05-13 16:49:46 +0300
committerazevaykin <azevaykin@yandex-team.com>2024-05-13 17:00:18 +0300
commitb7deb7f0b71db7419781d1b0357dfa443ccc3ff1 (patch)
treebb0628671666543d7cd991debdeb4892f444e67b /library/cpp/l2_distance/l2_distance.cpp
parentd2ca018b203eba118a0af8da0775b9c51650f29b (diff)
downloadydb-b7deb7f0b71db7419781d1b0357dfa443ccc3ff1.tar.gz
Publish l1_distance & l2_distance
Publish l1_distance & l2_distance to https://github.com/ydb-platform/ydb It has already been published to github: https://github.com/catboost/catboost/tree/master/library/cpp/ a6fd3da173e50ff5a518af0fd5b354f56ca72fdf
Diffstat (limited to 'library/cpp/l2_distance/l2_distance.cpp')
-rw-r--r--library/cpp/l2_distance/l2_distance.cpp376
1 files changed, 376 insertions, 0 deletions
diff --git a/library/cpp/l2_distance/l2_distance.cpp b/library/cpp/l2_distance/l2_distance.cpp
new file mode 100644
index 0000000000..2266e10aaa
--- /dev/null
+++ b/library/cpp/l2_distance/l2_distance.cpp
@@ -0,0 +1,376 @@
+#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);
+}