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author | azevaykin <azevaykin@yandex-team.com> | 2024-05-13 16:49:46 +0300 |
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committer | azevaykin <azevaykin@yandex-team.com> | 2024-05-13 17:00:18 +0300 |
commit | b7deb7f0b71db7419781d1b0357dfa443ccc3ff1 (patch) | |
tree | bb0628671666543d7cd991debdeb4892f444e67b /library/cpp/l2_distance/l2_distance.cpp | |
parent | d2ca018b203eba118a0af8da0775b9c51650f29b (diff) | |
download | ydb-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.cpp | 376 |
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); +} |