#if defined(__aarch64__) && defined(__ARM_FEATURE_SVE) && defined(CAFFE2_PERF_WITH_SVE128) #include #include #include #include "c10/macros/Macros.h" // Log and exp approximations inspired from ACL implementation inline float32x4_t vtaylor_polyq_for_log_f32(float32x4_t x) { const float32x4_t log_tab_1 = vdupq_n_f32(-2.29561495781f); const float32x4_t log_tab_2 = vdupq_n_f32(-2.47071170807f); const float32x4_t log_tab_3 = vdupq_n_f32(-5.68692588806f); const float32x4_t log_tab_4 = vdupq_n_f32(-0.165253549814f); const float32x4_t log_tab_5 = vdupq_n_f32(5.17591238022f); const float32x4_t log_tab_6 = vdupq_n_f32(0.844007015228f); const float32x4_t log_tab_7 = vdupq_n_f32(4.58445882797f); const float32x4_t log_tab_8 = vdupq_n_f32(0.0141278216615f); float32x4_t A = vmlaq_f32(log_tab_1, log_tab_5, x); float32x4_t B = vmlaq_f32(log_tab_3, log_tab_7, x); float32x4_t C = vmlaq_f32(log_tab_2, log_tab_6, x); float32x4_t x2 = vmulq_f32(x, x); float32x4_t D = svget_neonq(svmad_f32_x( svptrue_b8(), svset_neonq(svundef_f32(), x), svset_neonq(svundef_f32(), log_tab_8), svset_neonq(svundef_f32(), log_tab_4))); float32x4_t x4 = vmulq_f32(x2, x2); float32x4_t res = vmlaq_f32(vmlaq_f32(A, B, x2), vmlaq_f32(C, D, x2), x4); return res; } inline float32x4_t vlogq_f32(float32x4_t x) { const float32x4_t CONST_LN2 = vdupq_n_f32(0.6931471805f); // ln(2) // Extract exponent int32x4_t m = svget_neonq(svsub_n_s32_x( svptrue_b8(), svset_neonq( svundef_s32(), vreinterpretq_s32_u32(vshrq_n_u32(vreinterpretq_u32_f32(x), 23))), 127)); float32x4_t val = vreinterpretq_f32_s32( vsubq_s32(vreinterpretq_s32_f32(x), vshlq_n_s32(m, 23))); // Polynomial Approximation float32x4_t poly = vtaylor_polyq_for_log_f32(val); // Reconstruct poly = vmlaq_f32(poly, vcvtq_f32_s32(m), CONST_LN2); return poly; } inline float32x4_t vexpq_f32(float32x4_t x) { const auto c1 = vreinterpretq_f32_u32(svget_neonq(svdup_n_u32(0x3f7ffff6))); const auto c2 = vreinterpretq_f32_u32(svget_neonq(svdup_n_u32(0x3efffedb))); const auto c3 = vreinterpretq_f32_u32(svget_neonq(svdup_n_u32(0x3e2aaf33))); const auto c4 = vreinterpretq_f32_u32(svget_neonq(svdup_n_u32(0x3d2b9f17))); const auto c5 = vreinterpretq_f32_u32(svget_neonq(svdup_n_u32(0x3c072010))); const auto shift = vreinterpretq_f32_u32( svget_neonq(svdup_n_u32(0x4b00007f))); // 2^23 + 127 = 0x1.0000fep23f const auto inv_ln2 = vreinterpretq_f32_u32( svget_neonq(svdup_n_u32(0x3fb8aa3b))); // 1 / ln(2) = 0x1.715476p+0f const auto neg_ln2_hi = vreinterpretq_f32_u32(svget_neonq( svdup_n_u32(0xbf317200))); // -ln(2) from bits -1 to -19: -0x1.62e400p-1f const auto neg_ln2_lo = vreinterpretq_f32_u32(svget_neonq(svdup_n_u32( 0xb5bfbe8e))); // -ln(2) from bits -20 to -42: -0x1.7f7d1cp-20f const auto inf = svdup_n_f32(std::numeric_limits::infinity()); const auto max_input = svdup_n_f32(88.37f); // Approximately ln(2^127.5) const auto zero = svdup_n_f32(0.f); const auto min_input = svdup_n_f32(-86.64f); // Approximately ln(2^-125) // Range reduction: // e^x = 2^n * e^r // where: // n = floor(x / ln(2)) // r = x - n * ln(2) // // By adding x / ln(2) with 2^23 + 127 (shift): // * As FP32 fraction part only has 23-bits, the addition of 2^23 + 127 // forces decimal part // of x / ln(2) out of the result. The integer part of x / ln(2) (i.e. n) // + 127 will occupy the whole fraction part of z in FP32 format. // Subtracting 2^23 + 127 (shift) from z will result in the integer part // of x / ln(2) (i.e. n) because the decimal part has been pushed out and // lost. // * The addition of 127 makes the FP32 fraction part of z ready to be used // as the exponent // in FP32 format. Left shifting z by 23 bits will result in 2^n. const auto z = vfmaq_f32(shift, x, inv_ln2); const auto n = z - shift; const auto scale = vreinterpretq_f32_u32(vreinterpretq_u32_f32(z) << 23); // 2^n // The calculation of n * ln(2) is done using 2 steps to achieve accuracy // beyond FP32. This outperforms longer Taylor series (3-4 tabs) both in term // of accuracy and performance. const auto r_hi = vfmaq_f32(x, n, neg_ln2_hi); const auto r = vfmaq_f32(r_hi, n, neg_ln2_lo); // Compute the truncated Taylor series of e^r. // poly = scale * (1 + c1 * r + c2 * r^2 + c3 * r^3 + c4 * r^4 + c5 * r^5) const auto r2 = r * r; const auto p1 = c1 * r; const auto p23 = vfmaq_f32(c2, c3, r); const auto p45 = vfmaq_f32(c4, c5, r); const auto p2345 = vfmaq_f32(p23, p45, r2); const auto p12345 = vfmaq_f32(p1, p2345, r2); auto poly = svset_neonq(svundef_f32(), vfmaq_f32(scale, p12345, scale)); auto pHigh = svcmpgt_f32(svptrue_b8(), svset_neonq(svundef_f32(), x), max_input); auto pLow = svcmplt_f32(svptrue_b8(), svset_neonq(svundef_f32(), x), min_input); auto bound = svsel_f32( pHigh, inf, zero); auto pCombined = svorr_b_z(svptrue_b8(), pLow, pHigh); // Handle underflow and overflow. poly = svsel_f32( pCombined, bound, poly); return svget_neonq(poly); } // ln(x) = log2(x) * ln(2) // pow(x, n) = exp(n * ln(x)) inline float32x4_t compute_batch_box_cox_vec_sve128_float( svfloat32_t lambda1_v, svfloat32_t lambda2_v, svfloat32_t data_v, svfloat32_t k_eps) { // sum_v = lambda2_v + data_v float32x4_t sum_v = vaddq_f32(svget_neonq(data_v), svget_neonq(lambda2_v)); // test lambda1_v: predNZ == 1 iff lambda1_v != 0 svbool_t predNZ = svcmpne_n_f32(svptrue_b8(), lambda1_v, 0.0f); // clamp sum_v: sum_v = max(sum_v, k_eps) sum_v = vmaxq_f32(sum_v, svget_neonq(k_eps)); // lnData = log(sum_v) svfloat32_t lnData = svset_neonq(svundef_f32(), vlogq_f32(sum_v)); // if any lambda1 != 0, compute pow(sum_v, lambda1) using lnData // pow(sum_v, lambda1) == exp(lambda1 * ln(sum_v)) if (C10_LIKELY(svptest_any(predNZ, predNZ))) { // mult = lambda1 * ln(sum_v) float32x4_t mult = vmulq_f32(svget_neonq(lnData), svget_neonq(lambda1_v)); // lambda1_r = 1 / lambda1 svfloat32_t lambda1_r = svdivr_f32_m(predNZ, lambda1_v, svdup_n_f32(1.0f)); // pow = exp(mult) float32x4_t pow = vexpq_f32(mult); // merge results // lnData if lambda1 == 0, (lambda1_r * pow - lambda1_r) if lambda1 != 0 lnData = svsel_f32(predNZ, lambda1_r, lnData); lnData = svnmsb_f32_m(predNZ, lnData, svset_neonq(svundef_f32(), pow), lnData); } return svget_neonq(lnData); } template void compute_batch_box_cox_vec_sve128( std::size_t N, std::size_t D, const T* data_ptr, const T* __restrict lambda1_ptr, const T* __restrict lambda2_ptr, T* output_ptr); template <> void compute_batch_box_cox_vec_sve128( std::size_t N, std::size_t D, const float* data_ptr, const float* __restrict lambda1_ptr, const float* __restrict lambda2_ptr, float* output_ptr) { svfloat32_t k_eps = svdup_n_f32(static_cast(1e-6)); std::size_t remainder = D % 4; std::size_t loopBound = D - remainder; svbool_t remainderPred = svwhilelt_b32_u64(0, remainder); for (; C10_LIKELY(N > 0); --N) { for (std::size_t j = 0; C10_LIKELY(j != loopBound); j += 4, data_ptr += 4, output_ptr += 4) { svfloat32_t lambda1_v = svset_neonq(svundef_f32(), vld1q_f32(lambda1_ptr + j)); svfloat32_t lambda2_v = svset_neonq(svundef_f32(), vld1q_f32(lambda2_ptr + j)); svfloat32_t data_v = svset_neonq(svundef_f32(), vld1q_f32(data_ptr)); float32x4_t result = compute_batch_box_cox_vec_sve128_float( lambda1_v, lambda2_v, data_v, k_eps); vst1q_f32(output_ptr, result); } if (C10_LIKELY(remainder > 0)) { svfloat32_t lambda1_v = svld1_f32(remainderPred, lambda1_ptr + loopBound); svfloat32_t lambda2_v = svld1_f32(remainderPred, lambda2_ptr + loopBound); svfloat32_t data_v = svld1_f32(remainderPred, data_ptr); float32x4_t result = compute_batch_box_cox_vec_sve128_float( lambda1_v, lambda2_v, data_v, k_eps); svst1_f32(remainderPred, output_ptr, svset_neonq(svundef_f32(), result)); data_ptr += remainder; output_ptr += remainder; } } } namespace caffe2::details { template void compute_batch_box_cox__sve128( std::size_t N, std::size_t D, const T* self_data, const T* __restrict lambda1_data, const T* __restrict lambda2_data, T* output_data) { compute_batch_box_cox_vec_sve128( N, D, self_data, lambda1_data, lambda2_data, output_data); } // Vectorized version specializations for float and double template void compute_batch_box_cox__sve128( std::size_t N, std::size_t D, const float* self_data, const float* __restrict lambda1_data, const float* __restrict lambda2_data, float* output_data); } // namespace caffe2::details #endif // __aarch64__ && __ARM_FEATURE_SVE && CAFFE2_PERF_WITH_SVE128