From 2e2f48e30e24b0b6113f052caa5bb817625d8081 Mon Sep 17 00:00:00 2001 From: Benoit Steiner Date: Wed, 12 Oct 2016 13:45:39 -0700 Subject: Take advantage of AVX512 instructions whenever possible to speedup the processing of 16 bit floats. --- Eigen/src/Core/arch/CUDA/PacketMathHalf.h | 373 ++++++++++++++++++++++++++++++ Eigen/src/Core/arch/CUDA/TypeCasting.h | 27 +++ 2 files changed, 400 insertions(+) (limited to 'Eigen/src/Core/arch/CUDA') diff --git a/Eigen/src/Core/arch/CUDA/PacketMathHalf.h b/Eigen/src/Core/arch/CUDA/PacketMathHalf.h index 82dfc12c9..f0bc36d9a 100644 --- a/Eigen/src/Core/arch/CUDA/PacketMathHalf.h +++ b/Eigen/src/Core/arch/CUDA/PacketMathHalf.h @@ -333,6 +333,374 @@ template<> __device__ EIGEN_STRONG_INLINE half2 prsqrt(const half2& a) { #endif +#elif defined EIGEN_VECTORIZE_AVX512 + +typedef struct { + __m256i x; +} Packet16h; + + +template<> struct is_arithmetic { enum { value = true }; }; + +template <> +struct packet_traits : default_packet_traits { + typedef Packet16h type; + // There is no half-size packet for Packet16h. + typedef Packet16h half; + enum { + Vectorizable = 1, + AlignedOnScalar = 1, + size = 16, + HasHalfPacket = 0, + HasAdd = 0, + HasSub = 0, + HasMul = 0, + HasNegate = 0, + HasAbs = 0, + HasAbs2 = 0, + HasMin = 0, + HasMax = 0, + HasConj = 0, + HasSetLinear = 0, + HasDiv = 0, + HasSqrt = 0, + HasRsqrt = 0, + HasExp = 0, + HasLog = 0, + HasBlend = 0 + }; +}; + + +template<> struct unpacket_traits { typedef Eigen::half type; enum {size=16, alignment=Aligned32}; typedef Packet16h half; }; + +template<> EIGEN_STRONG_INLINE Packet16h pset1(const Eigen::half& from) { + Packet16h result; + result.x = _mm256_set1_epi16(from.x); + return result; +} + +template<> EIGEN_STRONG_INLINE Eigen::half pfirst(const Packet16h& from) { + return half_impl::raw_uint16_to_half(static_cast(_mm256_extract_epi16(from.x, 0))); +} + +template<> EIGEN_STRONG_INLINE Packet16h pload(const Eigen::half* from) { + Packet16h result; + result.x = _mm256_load_si256(reinterpret_cast(from)); + return result; +} + +template<> EIGEN_STRONG_INLINE Packet16h ploadu(const Eigen::half* from) { + Packet16h result; + result.x = _mm256_loadu_si256(reinterpret_cast(from)); + return result; +} + +template<> EIGEN_STRONG_INLINE void pstore(Eigen::half* to, const Packet16h& from) { + _mm256_store_si256((__m256i*)to, from.x); +} + +template<> EIGEN_STRONG_INLINE void pstoreu(Eigen::half* to, const Packet16h& from) { + _mm256_storeu_si256((__m256i*)to, from.x); +} + +template<> EIGEN_STRONG_INLINE Packet16h +ploadquad(const Eigen::half* from) { + Packet16h result; + unsigned short a = from[0].x; + unsigned short b = from[1].x; + unsigned short c = from[2].x; + unsigned short d = from[3].x; + result.x = _mm256_set_epi16(d, d, d, d, c, c, c, c, b, b, b, b, a, a, a, a); + return result; +} + +EIGEN_STRONG_INLINE Packet16f half2float(const Packet16h& a) { +#ifdef EIGEN_HAS_FP16_C + return _mm512_cvtph_ps(a.x); +#else + EIGEN_ALIGN64 half aux[16]; + pstore(aux, a); + float f0(aux[0]); + float f1(aux[1]); + float f2(aux[2]); + float f3(aux[3]); + float f4(aux[4]); + float f5(aux[5]); + float f6(aux[6]); + float f7(aux[7]); + float f8(aux[8]); + float f9(aux[9]); + float fa(aux[10]); + float fb(aux[11]); + float fc(aux[12]); + float fd(aux[13]); + float fe(aux[14]); + float ff(aux[15]); + + return _mm512_set_ps( + ff, fe, fd, fc, fb, fa, f9, f8, f7, f6, f5, f4, f3, f2, f1, f0); +#endif +} + +EIGEN_STRONG_INLINE Packet16h float2half(const Packet16f& a) { +#ifdef EIGEN_HAS_FP16_C + Packet16h result; + result.x = _mm512_cvtps_ph(a, _MM_FROUND_TO_NEAREST_INT|_MM_FROUND_NO_EXC); + return result; +#else + EIGEN_ALIGN64 float aux[16]; + pstore(aux, a); + half h0(aux[0]); + half h1(aux[1]); + half h2(aux[2]); + half h3(aux[3]); + half h4(aux[4]); + half h5(aux[5]); + half h6(aux[6]); + half h7(aux[7]); + half h8(aux[8]); + half h9(aux[9]); + half ha(aux[10]); + half hb(aux[11]); + half hc(aux[12]); + half hd(aux[13]); + half he(aux[14]); + half hf(aux[15]); + + Packet16h result; + result.x = _mm256_set_epi16( + hf.x, he.x, hd.x, hc.x, hb.x, ha.x, h9.x, h8.x, + h7.x, h6.x, h5.x, h4.x, h3.x, h2.x, h1.x, h0.x); + return result; +#endif +} + +template<> EIGEN_STRONG_INLINE Packet16h padd(const Packet16h& a, const Packet16h& b) { + Packet16f af = half2float(a); + Packet16f bf = half2float(b); + Packet16f rf = padd(af, bf); + return float2half(rf); +} + +template<> EIGEN_STRONG_INLINE Packet16h pmul(const Packet16h& a, const Packet16h& b) { + Packet16f af = half2float(a); + Packet16f bf = half2float(b); + Packet16f rf = pmul(af, bf); + return float2half(rf); +} + +template<> EIGEN_STRONG_INLINE half predux(const Packet16h& from) { + Packet16f from_float = half2float(from); + return half(predux(from_float)); +} + +template<> EIGEN_STRONG_INLINE Packet16h pgather(const Eigen::half* from, Index stride) +{ + Packet16h result; + result.x = _mm256_set_epi16( + from[15*stride].x, from[14*stride].x, from[13*stride].x, from[12*stride].x, + from[11*stride].x, from[10*stride].x, from[9*stride].x, from[8*stride].x, + from[7*stride].x, from[6*stride].x, from[5*stride].x, from[4*stride].x, + from[3*stride].x, from[2*stride].x, from[1*stride].x, from[0*stride].x); + return result; +} + +template<> EIGEN_STRONG_INLINE void pscatter(half* to, const Packet16h& from, Index stride) +{ + EIGEN_ALIGN64 half aux[16]; + pstore(aux, from); + to[stride*0].x = aux[0].x; + to[stride*1].x = aux[1].x; + to[stride*2].x = aux[2].x; + to[stride*3].x = aux[3].x; + to[stride*4].x = aux[4].x; + to[stride*5].x = aux[5].x; + to[stride*6].x = aux[6].x; + to[stride*7].x = aux[7].x; + to[stride*8].x = aux[8].x; + to[stride*9].x = aux[9].x; + to[stride*10].x = aux[10].x; + to[stride*11].x = aux[11].x; + to[stride*12].x = aux[12].x; + to[stride*13].x = aux[13].x; + to[stride*14].x = aux[14].x; + to[stride*15].x = aux[15].x; +} + +EIGEN_STRONG_INLINE void +ptranspose(PacketBlock& kernel) { + __m256i a = kernel.packet[0].x; + __m256i b = kernel.packet[1].x; + __m256i c = kernel.packet[2].x; + __m256i d = kernel.packet[3].x; + __m256i e = kernel.packet[4].x; + __m256i f = kernel.packet[5].x; + __m256i g = kernel.packet[6].x; + __m256i h = kernel.packet[7].x; + __m256i i = kernel.packet[8].x; + __m256i j = kernel.packet[9].x; + __m256i k = kernel.packet[10].x; + __m256i l = kernel.packet[11].x; + __m256i m = kernel.packet[12].x; + __m256i n = kernel.packet[13].x; + __m256i o = kernel.packet[14].x; + __m256i p = kernel.packet[15].x; + + __m256i ab_07 = _mm256_unpacklo_epi16(a, b); + __m256i cd_07 = _mm256_unpacklo_epi16(c, d); + __m256i ef_07 = _mm256_unpacklo_epi16(e, f); + __m256i gh_07 = _mm256_unpacklo_epi16(g, h); + __m256i ij_07 = _mm256_unpacklo_epi16(i, j); + __m256i kl_07 = _mm256_unpacklo_epi16(k, l); + __m256i mn_07 = _mm256_unpacklo_epi16(m, n); + __m256i op_07 = _mm256_unpacklo_epi16(o, p); + + __m256i ab_8f = _mm256_unpackhi_epi16(a, b); + __m256i cd_8f = _mm256_unpackhi_epi16(c, d); + __m256i ef_8f = _mm256_unpackhi_epi16(e, f); + __m256i gh_8f = _mm256_unpackhi_epi16(g, h); + __m256i ij_8f = _mm256_unpackhi_epi16(i, j); + __m256i kl_8f = _mm256_unpackhi_epi16(k, l); + __m256i mn_8f = _mm256_unpackhi_epi16(m, n); + __m256i op_8f = _mm256_unpackhi_epi16(o, p); + + __m256i abcd_03 = _mm256_unpacklo_epi32(ab_07, cd_07); + __m256i abcd_47 = _mm256_unpackhi_epi32(ab_07, cd_07); + __m256i efgh_03 = _mm256_unpacklo_epi32(ef_07, gh_07); + __m256i efgh_47 = _mm256_unpackhi_epi32(ef_07, gh_07); + __m256i ijkl_03 = _mm256_unpacklo_epi32(ij_07, kl_07); + __m256i ijkl_47 = _mm256_unpackhi_epi32(ij_07, kl_07); + __m256i mnop_03 = _mm256_unpacklo_epi32(mn_07, op_07); + __m256i mnop_47 = _mm256_unpackhi_epi32(mn_07, op_07); + + __m256i abcd_8b = _mm256_unpacklo_epi32(ab_8f, cd_8f); + __m256i abcd_cf = _mm256_unpackhi_epi32(ab_8f, cd_8f); + __m256i efgh_8b = _mm256_unpacklo_epi32(ef_8f, gh_8f); + __m256i efgh_cf = _mm256_unpackhi_epi32(ef_8f, gh_8f); + __m256i ijkl_8b = _mm256_unpacklo_epi32(ij_8f, kl_8f); + __m256i ijkl_cf = _mm256_unpackhi_epi32(ij_8f, kl_8f); + __m256i mnop_8b = _mm256_unpacklo_epi32(mn_8f, op_8f); + __m256i mnop_cf = _mm256_unpackhi_epi32(mn_8f, op_8f); + + __m256i abcdefgh_01 = _mm256_unpacklo_epi64(abcd_03, efgh_03); + __m256i abcdefgh_23 = _mm256_unpackhi_epi64(abcd_03, efgh_03); + __m256i ijklmnop_01 = _mm256_unpacklo_epi64(ijkl_03, mnop_03); + __m256i ijklmnop_23 = _mm256_unpackhi_epi64(ijkl_03, mnop_03); + __m256i abcdefgh_45 = _mm256_unpacklo_epi64(abcd_47, efgh_47); + __m256i abcdefgh_67 = _mm256_unpackhi_epi64(abcd_47, efgh_47); + __m256i ijklmnop_45 = _mm256_unpacklo_epi64(ijkl_47, mnop_47); + __m256i ijklmnop_67 = _mm256_unpackhi_epi64(ijkl_47, mnop_47); + __m256i abcdefgh_89 = _mm256_unpacklo_epi64(abcd_8b, efgh_8b); + __m256i abcdefgh_ab = _mm256_unpackhi_epi64(abcd_8b, efgh_8b); + __m256i ijklmnop_89 = _mm256_unpacklo_epi64(ijkl_8b, mnop_8b); + __m256i ijklmnop_ab = _mm256_unpackhi_epi64(ijkl_8b, mnop_8b); + __m256i abcdefgh_cd = _mm256_unpacklo_epi64(abcd_cf, efgh_cf); + __m256i abcdefgh_ef = _mm256_unpackhi_epi64(abcd_cf, efgh_cf); + __m256i ijklmnop_cd = _mm256_unpacklo_epi64(ijkl_cf, mnop_cf); + __m256i ijklmnop_ef = _mm256_unpackhi_epi64(ijkl_cf, mnop_cf); + + // NOTE: no unpacklo/hi instr in this case, so using permute instr. + __m256i a_p_0 = _mm256_permute2x128_si256(abcdefgh_01, ijklmnop_01, 0x20); + __m256i a_p_1 = _mm256_permute2x128_si256(abcdefgh_01, ijklmnop_01, 0x31); + __m256i a_p_2 = _mm256_permute2x128_si256(abcdefgh_23, ijklmnop_23, 0x20); + __m256i a_p_3 = _mm256_permute2x128_si256(abcdefgh_23, ijklmnop_23, 0x31); + __m256i a_p_4 = _mm256_permute2x128_si256(abcdefgh_45, ijklmnop_45, 0x20); + __m256i a_p_5 = _mm256_permute2x128_si256(abcdefgh_45, ijklmnop_45, 0x31); + __m256i a_p_6 = _mm256_permute2x128_si256(abcdefgh_67, ijklmnop_67, 0x20); + __m256i a_p_7 = _mm256_permute2x128_si256(abcdefgh_67, ijklmnop_67, 0x31); + __m256i a_p_8 = _mm256_permute2x128_si256(abcdefgh_89, ijklmnop_89, 0x20); + __m256i a_p_9 = _mm256_permute2x128_si256(abcdefgh_89, ijklmnop_89, 0x31); + __m256i a_p_a = _mm256_permute2x128_si256(abcdefgh_ab, ijklmnop_ab, 0x20); + __m256i a_p_b = _mm256_permute2x128_si256(abcdefgh_ab, ijklmnop_ab, 0x31); + __m256i a_p_c = _mm256_permute2x128_si256(abcdefgh_cd, ijklmnop_cd, 0x20); + __m256i a_p_d = _mm256_permute2x128_si256(abcdefgh_cd, ijklmnop_cd, 0x31); + __m256i a_p_e = _mm256_permute2x128_si256(abcdefgh_ef, ijklmnop_ef, 0x20); + __m256i a_p_f = _mm256_permute2x128_si256(abcdefgh_ef, ijklmnop_ef, 0x31); + + kernel.packet[0].x = a_p_0; + kernel.packet[1].x = a_p_1; + kernel.packet[2].x = a_p_2; + kernel.packet[3].x = a_p_3; + kernel.packet[4].x = a_p_4; + kernel.packet[5].x = a_p_5; + kernel.packet[6].x = a_p_6; + kernel.packet[7].x = a_p_7; + kernel.packet[8].x = a_p_8; + kernel.packet[9].x = a_p_9; + kernel.packet[10].x = a_p_a; + kernel.packet[11].x = a_p_b; + kernel.packet[12].x = a_p_c; + kernel.packet[13].x = a_p_d; + kernel.packet[14].x = a_p_e; + kernel.packet[15].x = a_p_f; +} + +EIGEN_STRONG_INLINE void +ptranspose(PacketBlock& kernel) { + EIGEN_ALIGN64 half in[8][16]; + pstore(in[0], kernel.packet[0]); + pstore(in[1], kernel.packet[1]); + pstore(in[2], kernel.packet[2]); + pstore(in[3], kernel.packet[3]); + pstore(in[4], kernel.packet[4]); + pstore(in[5], kernel.packet[5]); + pstore(in[6], kernel.packet[6]); + pstore(in[7], kernel.packet[7]); + + EIGEN_ALIGN64 half out[8][16]; + + for (int i = 0; i < 8; ++i) { + for (int j = 0; j < 8; ++j) { + out[i][j] = in[j][2*i]; + } + for (int j = 0; j < 8; ++j) { + out[i][j+8] = in[j][2*i+1]; + } + } + + kernel.packet[0] = pload(out[0]); + kernel.packet[1] = pload(out[1]); + kernel.packet[2] = pload(out[2]); + kernel.packet[3] = pload(out[3]); + kernel.packet[4] = pload(out[4]); + kernel.packet[5] = pload(out[5]); + kernel.packet[6] = pload(out[6]); + kernel.packet[7] = pload(out[7]); +} + +EIGEN_STRONG_INLINE void +ptranspose(PacketBlock& kernel) { + EIGEN_ALIGN64 half in[4][16]; + pstore(in[0], kernel.packet[0]); + pstore(in[1], kernel.packet[1]); + pstore(in[2], kernel.packet[2]); + pstore(in[3], kernel.packet[3]); + + EIGEN_ALIGN64 half out[4][16]; + + for (int i = 0; i < 4; ++i) { + for (int j = 0; j < 4; ++j) { + out[i][j] = in[j][4*i]; + } + for (int j = 0; j < 4; ++j) { + out[i][j+4] = in[j][4*i+1]; + } + for (int j = 0; j < 4; ++j) { + out[i][j+8] = in[j][4*i+2]; + } + for (int j = 0; j < 4; ++j) { + out[i][j+12] = in[j][4*i+3]; + } + } + + kernel.packet[0] = pload(out[0]); + kernel.packet[1] = pload(out[1]); + kernel.packet[2] = pload(out[2]); + kernel.packet[3] = pload(out[3]); +} + + #elif defined EIGEN_VECTORIZE_AVX typedef struct { @@ -471,6 +839,11 @@ template<> EIGEN_STRONG_INLINE Packet8h pmul(const Packet8h& a, const return float2half(rf); } +template<> EIGEN_STRONG_INLINE half predux(const Packet8h& from) { + Packet8f from_float = half2float(from); + return half(predux(from_float)); +} + template<> EIGEN_STRONG_INLINE Packet8h pgather(const Eigen::half* from, Index stride) { Packet8h result; diff --git a/Eigen/src/Core/arch/CUDA/TypeCasting.h b/Eigen/src/Core/arch/CUDA/TypeCasting.h index 31f1c523a..aa5fbce8e 100644 --- a/Eigen/src/Core/arch/CUDA/TypeCasting.h +++ b/Eigen/src/Core/arch/CUDA/TypeCasting.h @@ -100,6 +100,33 @@ template<> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE half2 pcast(cons return __floats2half2_rn(a.x, a.y); } +#elif defined EIGEN_VECTORIZE_AVX512 +template <> +struct type_casting_traits { + enum { + VectorizedCast = 1, + SrcCoeffRatio = 1, + TgtCoeffRatio = 1 + }; +}; + +template<> EIGEN_STRONG_INLINE Packet16f pcast(const Packet16h& a) { + return half2float(a); +} + +template <> +struct type_casting_traits { + enum { + VectorizedCast = 1, + SrcCoeffRatio = 1, + TgtCoeffRatio = 1 + }; +}; + +template<> EIGEN_STRONG_INLINE Packet16h pcast(const Packet16f& a) { + return float2half(a); +} + #elif defined EIGEN_VECTORIZE_AVX template <> -- cgit v1.2.3