// satu1_avx512.cpp — IKNN-Rl1-A1 — SatU1 AVX-512 Kernel (Native VPOPCNTDQ) // Version: v1.0 // Created: 2026-09-03T16:55:00+07:00 // Last Updated: 2026-09-03T16:55:00+07:00 // Status: PUBLISHABLE — EN ONLY — M1 Kernel Validation // Repo: IKNN-Rl1-A1 — Integrated Knowledge-phase Neural Network — Recursive Language Iteration 1 — Architecture 1 // Hardware Target: Intel Xeon / Sapphire Rapids — AVX512F, BW, VL, VBMI2, VNNI, BITALG, VPOPCNTDQ (this sandbox) // — 2 vCPU, 54MB L3, DDR 50-90GB/s, 8GB swap at /home/user/.cache/swap-8gb (excluded) // Description: SatU1 1-bit XNOR+POPCOUNT, 512 connections per cycle per lane, 4 cycles per 512-bit // Canonical mapping: bit 0 = -1, bit 1 = +1, XNOR = NOT(A XOR B), S = popcount(XNOR), Y = (2S-K)*alpha // DRSS: direct-register streaming, no intermediate buffer // RoPE handling: RoPE applied on FP16 before Sign (see 5.4 step 3a) #include "satu1_common.h" #include #include namespace iknn { namespace satu1 { namespace avx512 { // AVX-512 native kernel — 8x uint64_t = 512 bits = 512 weights per iteration // Requires: AVX512F + AVX512BW + AVX512_VPOPCNTDQ + AVX512_BITALG (for _mm512_xnor? we emulate via xor+not) inline float compute_satu1_block_avx512( const uint64_t* __restrict__ activation_bits, const uint64_t* __restrict__ weight_bits, float alpha, int block_size_words) // block_size_words = number of 64-bit words, must be multiple of 8 for 512-bit { // Accumulate popcount in 64-bit lanes __m512i total_pop = _mm512_setzero_si512(); int i = 0; // Process 8 words = 512 bits per iteration for (; i + 7 < block_size_words; i += 8) { __m512i a = _mm512_loadu_si512(reinterpret_cast(&activation_bits[i])); __m512i w = _mm512_loadu_si512(reinterpret_cast(&weight_bits[i])); // XNOR = NOT(A XOR B) __m512i x = _mm512_xor_si512(a, w); __m512i xnor = _mm512_xor_si512(x, _mm512_set1_epi64(-1)); // NOT via XOR with all 1s (BITALG: _mm512_xnor would be better if available) // Native popcount per 64-bit lane — VPOPCNTDQ — 1 cycle __m512i cnt = _mm512_popcnt_epi64(xnor); total_pop = _mm512_add_epi64(total_pop, cnt); } // Tail handling for remaining words (<8) int32_t tail_pop = 0; for (; i < block_size_words; ++i) { uint64_t xnor = ~(activation_bits[i] ^ weight_bits[i]); tail_pop += __builtin_popcountll(xnor); } // Horizontal sum of 8x 64-bit lanes // _mm512_reduce_add_epi64 requires AVX-512, use manual extract alignas(64) uint64_t pop_array[8]; _mm512_store_si512(reinterpret_cast<__m512i*>(pop_array), total_pop); int64_t total = tail_pop; for (int j = 0; j < 8; ++j) total += pop_array[j]; int64_t signed_sum = (2 * total) - (static_cast(block_size_words) * 64); return static_cast(signed_sum) * alpha; } // Variant for 512-bit block (8 words) — most efficient, 1 ZMM = 512 weights inline float compute_satu1_zmm512( const __m512i& activation_zmm, // 512 bits = 8x64 bits packed signs const __m512i& weight_zmm, float alpha) { __m512i x = _mm512_xor_si512(activation_zmm, weight_zmm); __m512i xnor = _mm512_xor_si512(x, _mm512_set1_epi64(-1)); __m512i cnt = _mm512_popcnt_epi64(xnor); // reduce int64_t total = _mm512_reduce_add_epi64(cnt); int64_t signed_sum = (2 * total) - 512; return static_cast(signed_sum) * alpha; } } // namespace avx512 } // namespace satu1 } // namespace iknn // Standalone test harness (when compiled as executable) #ifdef SATU1_AVX512_TEST #include #include #include #include int main() { using namespace iknn::satu1; using namespace iknn::satu1::avx512; std::cout << "[SatU1 AVX-512 Test] " << __DATE__ << " " << __TIME__ << std::endl; std::cout << "Hardware: Xeon AVX-512 VPOPCNTDQ, VBMI2" << std::endl; // Correctness test std::mt19937_64 rng(42); const int WORDS = 8; // 512 bits uint64_t act[WORDS], w[WORDS]; for (int i = 0; i < WORDS; ++i) { act[i] = rng(); w[i] = rng(); } float alpha = 0.5f; float naive = compute_satu1_block_naive(act, w, alpha, WORDS); float avx512_res = compute_satu1_block_avx512(act, w, alpha, WORDS); std::cout << "Naive: " << naive << " AVX-512: " << avx512_res << std::endl; if (std::abs(naive - avx512_res) < 1e-3f) { std::cout << "[PASS] Correctness" << std::endl; } else { std::cout << "[FAIL] Correctness mismatch!" << std::endl; return 1; } // Throughput benchmark const int ITERS = 1000000; auto start = std::chrono::high_resolution_clock::now(); float sum = 0; for (int it = 0; it < ITERS; ++it) { // Vary data to prevent optimization act[0] ^= it; sum += compute_satu1_block_avx512(act, w, alpha, WORDS); } auto end = std::chrono::high_resolution_clock::now(); auto ms = std::chrono::duration_cast(end - start).count(); double giga_pop = (double)ITERS * WORDS * 64 / 1e9; double sec = ms / 1000.0; double giga_per_sec = giga_pop / sec; double tps_equiv = (double)ITERS / sec; // tokens per second if 1 block = 1 token (simplified) std::cout << "[BENCH] Iters: " << ITERS << " Time: " << ms << " ms" << std::endl; std::cout << "[BENCH] Giga-popcnt/s: " << giga_per_sec << std::endl; std::cout << "[BENCH] TPS equiv (512 weights): " << tps_equiv << std::endl; std::cout << "[BENCH] Sum (prevent opt): " << sum << std::endl; // Expected: On Xeon 2.6GHz with VPOPCNTDQ, ~4 cycles per 512 bits => ~0.65e9 popcnt per core per GHz? Rough. // Realistic target: >2 Giga-popcnt/s per core return 0; } #endif