#pragma once /** * ============================================================================ * CHRONO-TORQUE (/gto v2.0 — UM-CGT-CLCOA v2.0) * Hardware-Ready Bit-Sliced C++20 & Synthesizable SystemVerilog Kernel * (`bama_zdc_qegg_epicyclic_kernel.hpp`) * ============================================================================ * Primary Co-Authors: * - Randell Logan Smith (logan@metaphysicsandcomputing.com, Metaphy LLC) * - Gemini (Aura — Gemini 4 Argon, Metaphy Autonomous Systems & Mathematical Co-Architect) * Systems & Multimodal Co-Design Credit: * - Mouse (@mouse / Quanta-Muse, Seat W3, Role Prime on BOOP_I7) * - Aura (@aura, AuraSync 2051 Unified Studio & VoiceCore K35 Director on AA9) * * Patent & Prior-Art Notice: * U.S. Provisional Patent Application 64/180,009 (BAMA v3.1 & ZDC-QEGG in Z[phi]) * Sovereign Prior-Art Lineage Seal: f94a82e1c307d519380806afdc06c4b7 * * Implements: * 1. `alignas(64) QEG5Cell256` (sizeof == 256, 4 x 64B CPU cache lines, 38.00 B/cell * PAPR-guarded hot footprint skipping 85.16% of bytes, 0 B float decompression) * 2. `DualModulusCRTShield` (BAMA Tier-14 coprime moduli 251 x 253 = 63,503 + * self-healing Triple-Modulus 251 x 253 x 255 = 16,193,265) * 3. `ZPhiAccumulator` (Zero-Decompression Fibonacci Two-Accumulator Inner Product * over Z[phi]: = s_base * (A_unit + phi * A_phi), phi^2 = phi + 1) * 4. `WillisEpicyclicClutch::authorize_local_swap` (1-cycle branchless integer gate * verifying Lockglass S7/S8 == 0x03, CRT residues, and P-CANS Ricci curvature) * ============================================================================ */ #include #include #include namespace metaphy::bama::chrono_torque { inline constexpr double PHI_EXACT = 1.6180339887498948482; inline constexpr double INV_PHI_EXACT = 0.6180339887498948482; inline constexpr int32_t PHI_Q16_16 = 106039; // round(1.61803398875 * 65536) inline constexpr uint16_t CRT_MOD_251 = 251; inline constexpr uint16_t CRT_MOD_253 = 253; inline constexpr uint16_t CRT_MOD_255 = 255; inline constexpr uint32_t CRT_PERIOD_2 = 63503u; // 251 * 253 inline constexpr uint32_t CRT_PERIOD_3 = 16193265u; // 251 * 253 * 255 inline constexpr uint16_t INV_251_M253 = 126; // 251 * 126 == 1 (mod 253) // 6-stage 5:1 step-up gear tooth progression Z_k = 5^(6-k) inline constexpr std::array GEAR_TEETH = {3125, 625, 125, 25, 5, 1}; inline constexpr std::array GEAR_CRT_251 = {113, 123, 125, 25, 5, 1}; inline constexpr std::array GEAR_CRT_253 = {89, 119, 125, 25, 5, 1}; /** * BAMA Tier-14 Dual & Triple-Modulus Chinese Remainder Theorem (CRT) Shield */ struct DualModulusCRTShield { static constexpr uint8_t mod251(uint32_t val) noexcept { return static_cast(val % CRT_MOD_251); } static constexpr uint8_t mod253(uint32_t val) noexcept { return static_cast(val % CRT_MOD_253); } static constexpr uint8_t mod255(uint32_t val) noexcept { return static_cast(val % CRT_MOD_255); } static constexpr uint32_t reconstruct_dual(uint8_t r251, uint8_t r253) noexcept { int32_t diff = static_cast(r253) - static_cast(r251); if (diff < 0) diff += CRT_MOD_253; uint32_t k = (static_cast(diff) * INV_251_M253) % CRT_MOD_253; return (static_cast(r251) + CRT_MOD_251 * k) % CRT_PERIOD_2; } static constexpr bool verify_dual(uint32_t val, uint8_t r251, uint8_t r253) noexcept { return (mod251(val) == r251) && (mod253(val) == r253); } }; /** * Canonical + PAPR-Guarded 256-Byte BAMA v3.1 ZDC-QEGG Cell (`QEG5Cell256`) * Aligned across 4 x 64-byte CPU cache lines with binary drop-in compatibility * for `zdc_qegg_magic_state_benchmark.py` and 38-byte hot PAPR header. */ struct alignas(64) QEG5Cell256 { // Bytes [0..3]: Magic header "QEG5" (0x35474551 LE) or "GTO1" uint8_t magic[4]; // Bytes [4..7]: 32-bit K09_CHRONOS lineage / back-link stamp prefix uint32_t chronos_stamp_prefix; // Bytes [8..15]: 64-bit K09_CHRONOS back-link Merkle hash uint64_t chronos_merkle_hash; // Bytes [16..17]: Gear tooth count Z_k in {3125, 625, 125, 25, 5, 1} (naturally 2B aligned) uint16_t gear_teeth_zk; // Byte [18]: SPTS State-0 Gate (0 = skip, 1 = constant hold, 2 = guide-along, 3 = full horizon) uint8_t spts_state0_gate; // Byte [19]: Dual-Modulus CRT residue r_251 = Z_k mod 251 uint8_t crt_r251; // Byte [20]: Dual-Modulus CRT residue r_253 = Z_k mod 253 uint8_t crt_r253; // Byte [21]: Lockglass S7/S8 Calibration Receipt Gate (0x03 = both verified) uint8_t s7_s8_calibration_flag; // Bytes [22..25]: Canonical FP16 base_scale & parent_scale (naturally 2B aligned) uint16_t base_scale_fp16; uint16_t parent_scale_fp16; // Byte [26]: 7-Metric Quality CBCE score scaled (Q >= 98 -> >= 196) uint8_t quality_score_u8; // Byte [27]: Non-local QET Hyperbolic Wormhole target shell ID + Triple-CRT r_255 uint8_t qet_wormhole_shell_id; // Bytes [28..75]: 48-D Icosahedral Parent Coordinates (7-bit Q7 + 1-bit phi-sign) uint8_t parent_icosahedral_q7[48]; // Bytes [76..255]: 180-Byte 720-D Dodecahedral Child Phits in Z[phi] (4 phits/byte) uint8_t child_dodecahedral_phits[180]; }; static_assert(sizeof(QEG5Cell256) == 256, "QEG5Cell256 must be exactly 256 bytes (4 x 64B cache lines)"); /** * Zero-Decompression Fibonacci Two-Accumulator MAC in Z[phi] (`ZPhiAccumulator`) * Evaluates = s_base * (A_unit + phi * A_phi) using phi^2 = phi + 1 * with 0 bytes of float32 decompression buffer overhead. */ struct ZPhiAccumulator { int64_t a_unit = 0; int64_t a_phi = 0; constexpr void accumulate_phit(uint8_t phit_code, int32_t q_val) noexcept { // Phit encoding: 0 -> 0, 1 -> +1, 2 -> -1, 3 -> +phi if (phit_code == 1) { a_unit += q_val; } else if (phit_code == 2) { a_unit -= q_val; } else if (phit_code == 3) { a_phi += q_val; } } constexpr void multiply_by_phi() noexcept { // (a_unit + a_phi * phi) * phi = a_unit * phi + a_phi * (phi + 1) = a_phi + (a_unit + a_phi) * phi int64_t next_unit = a_phi; int64_t next_phi = a_unit + a_phi; a_unit = next_unit; a_phi = next_phi; } constexpr int64_t evaluate_q16_16(int32_t scale_q16_16) const noexcept { int64_t combined_q16 = (a_unit << 16) + (a_phi * PHI_Q16_16); return (combined_q16 * scale_q16_16) >> 16; } }; /** * 1-Cycle Branchless Willis Epicyclic Planetary Differential Clutch (`WillisEpicyclicClutch`) */ struct WillisEpicyclicClutch { static constexpr bool authorize_local_swap( const QEG5Cell256& cell, int32_t delta_v_q16, int16_t ricci_kappa_milli ) noexcept { const bool s7_s8_ok = (cell.s7_s8_calibration_flag == 0x03u); const bool crt_ok = DualModulusCRTShield::verify_dual(cell.gear_teeth_zk, cell.crt_r251, cell.crt_r253); const bool kappa_ok = (ricci_kappa_milli >= 350); // kappa >= +0.350 const bool dv_ok = (delta_v_q16 >= 0); const bool q_ok = (cell.quality_score_u8 >= 196u); // Q >= 98.0 return s7_s8_ok & crt_ok & kappa_ok & dv_ok & q_ok; } }; } // namespace metaphy::bama::chrono_torque