극저온 방사광 X-선 나노회절 기반 위상 마그논(Topological Magnon) 절연체 에지 스핀파 전송 능동 서보 아키텍처 (.NET 9 C# SIMD)

using System;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using System.Runtime.Intrinsics;
using System.Runtime.Intrinsics.X86;

namespace ZeliDesk.Quantum.Magnonics
{
    /// <summary>
    /// 위상 마그논(Topological Magnon) 절연체 에지 스핀파 전송 능동 제어 서보
    /// GC 무할당 ref struct 및 AVX-256 SIMD 가속화
    /// </summary>
    public ref struct TopologicalMagnonServo
    {
        private readonly ReadOnlySpan<float> _berryCurvatures;   // 마그논 베리 곡률 Omega_m
        private readonly ReadOnlySpan<float> _temperatures;        // 채널별 국소 온도 T (K)
        private readonly Span<float> _thermalHallConductivity;   // 연산된 열 마그논 홀 전도도
        private readonly Span<float> _rfPumpingFrequencies;      // 마이크로스트립 RF 주파수 지령 (GHz)

        private readonly float _baseFrequency; // 기준 공명 주파수 f0 (GHz)
        private readonly float _freqShiftGain; // 주파수 시프트 게인 (GHz/unit)
        private readonly float _hallWeight;    // 전도도 환산 가중치

        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public TopologicalMagnonServo(
            ReadOnlySpan<float> berryCurvatures,
            ReadOnlySpan<float> temperatures,
            Span<float> thermalHallConductivity,
            Span<float> rfPumpingFrequencies,
            float baseFrequency = 14.2f,
            float freqShiftGain = 0.35f,
            float hallWeight = 0.082f)
        {
            _berryCurvatures = berryCurvatures;
            _temperatures = temperatures;
            _thermalHallConductivity = thermalHallConductivity;
            _rfPumpingFrequencies = rfPumpingFrequencies;
            _baseFrequency = baseFrequency;
            _freqShiftGain = freqShiftGain;
            _hallWeight = hallWeight;
        }

        /// <summary>
        /// 8개 스핀파 채널의 열 마그논 전도도 및 RF 펌핑 주파수를 SIMD 병렬 연산
        /// </summary>
        [MethodImpl(MethodImplOptions.AggressiveOptimization)]
        public void ProcessMagnonTransportLoop()
        {
            int length = _berryCurvatures.Length;
            int simdLength = length - (length % 8);

            Vector256<float> vF0 = Vector256.Create(_baseFrequency);
            Vector256<float> vShiftGain = Vector256.Create(_freqShiftGain);
            Vector256<float> vWeight = Vector256.Create(_hallWeight);

            int i = 0;
            if (Avx2.IsSupported)
            {
                for (; i < simdLength; i += 8)
                {
                    Vector256<float> vOmega = Vector256.Create(MemoryMarshal.Cast<float, Vector256<float>>(_berryCurvatures.Slice(i, 8))[0]);
                    Vector256<float> vTemp = Vector256.Create(MemoryMarshal.Cast<float, Vector256<float>>(_temperatures.Slice(i, 8))[0]);

                    // 열 마그논 홀 전도도 Kappa_xy = Weight * Omega * Temp
                    Vector256<float> vKappa = Avx.Multiply(vWeight, Avx.Multiply(vOmega, vTemp));

                    // RF 펌핑 주파수 지령 = F0 + ShiftGain * Kappa
                    Vector256<float> vFreq = Avx.Add(vF0, Avx.Multiply(vShiftGain, vKappa));

                    vKappa.CopyTo(_thermalHallConductivity.Slice(i, 8));
                    vFreq.CopyTo(_rfPumpingFrequencies.Slice(i, 8));
                }
            }

            for (; i < length; i++)
            {
                float kappa = _hallWeight * _berryCurvatures[i] * _temperatures[i];
                _thermalHallConductivity[i] = kappa;
                _rfPumpingFrequencies[i] = _baseFrequency + (_freqShiftGain * kappa);
            }
        }
    }
}