극저온 방사광 X-선 나노회절 기반 바일 반금속(Weyl Semimetal) 키랄 변칙(Chiral Anomaly) 및 음의 자기저항 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.WeylSemimetals
{
    /// <summary>
    /// 바일 반금속 키랄 변칙(Chiral Anomaly) 및 음의 자기저항(NLMR) 실시간 제어 서보
    /// GC 제로 할당 ref struct 및 AVX-256 SIMD 가속화
    /// </summary>
    public ref struct WeylChiralAnomalyServo
    {
        private readonly ReadOnlySpan<float> _magneticFields;    // 인가 자기장 B (Tesla)
        private readonly ReadOnlySpan<float> _measuredCurrents;   // 측정 전류 I (mA)
        private readonly ReadOnlySpan<float> _measuredVoltages;   // 측정 종방향 전압 V (mV)
        private readonly Span<float> _chiralConductivities;       // 도출된 키랄 전도도 sigma_zz (S/m)
        private readonly Span<float> _piezoAlignmentVoltages;     // 결정축 정렬 피에조 전압 (V)

        private readonly float _baseConductivity; // 0 자장 전도도 sigma_0
        private readonly float _chiralCoefficient;// 변칙 전도 계수 alpha (S/m/T^2)
        private readonly float _piezoGain;        // 축 정렬 피드백 게인

        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public WeylChiralAnomalyServo(
            ReadOnlySpan<float> magneticFields,
            ReadOnlySpan<float> measuredCurrents,
            ReadOnlySpan<float> measuredVoltages,
            Span<float> chiralConductivities,
            Span<float> piezoAlignmentVoltages,
            float baseConductivity = 1200.0f,
            float chiralCoefficient = 45.0f,
            float piezoGain = 0.85f)
        {
            _magneticFields = magneticFields;
            _measuredCurrents = measuredCurrents;
            _measuredVoltages = measuredVoltages;
            _chiralConductivities = chiralConductivities;
            _piezoAlignmentVoltages = piezoAlignmentVoltages;
            _baseConductivity = baseConductivity;
            _chiralCoefficient = chiralCoefficient;
            _piezoGain = piezoGain;
        }

        /// <summary>
        /// 8개 채널의 자기장 의존 전도도를 SIMD로 병렬 분석하여 키랄 변칙 제어 신호 산출
        /// </summary>
        [MethodImpl(MethodImplOptions.AggressiveOptimization)]
        public void ProcessChiralTransportLoop()
        {
            int length = _magneticFields.Length;
            int simdLength = length - (length % 8);

            Vector256<float> vSigma0 = Vector256.Create(_baseConductivity);
            Vector256<float> vAlpha = Vector256.Create(_chiralCoefficient);
            Vector256<float> vGain = Vector256.Create(_piezoGain);
            Vector256<float> vSmall = Vector256.Create(1e-4f);

            int i = 0;
            if (Avx2.IsSupported)
            {
                for (; i < simdLength; i += 8)
                {
                    Vector256<float> vB = Vector256.Create(MemoryMarshal.Cast<float, Vector256<float>>(_magneticFields.Slice(i, 8))[0]);
                    Vector256<float> vI = Vector256.Create(MemoryMarshal.Cast<float, Vector256<float>>(_measuredCurrents.Slice(i, 8))[0]);
                    Vector256<float> vV = Vector256.Create(MemoryMarshal.Cast<float, Vector256<float>>(_measuredVoltages.Slice(i, 8))[0]);

                    // 실측 전도도 sigma = I / (V + eps) * 1000.0
                    Vector256<float> vSafeV = Avx.Add(vV, vSmall);
                    Vector256<float> vSigma = Avx.Multiply(Avx.Divide(vI, vSafeV), Vector256.Create(1000.0f));

                    // 이론적 키랄 전도도 모델: Sigma_theory = Sigma0 + alpha * B^2
                    Vector256<float> vBSq = Avx.Multiply(vB, vB);
                    Vector256<float> vTheory = Avx.Add(vSigma0, Avx.Multiply(vAlpha, vBSq));

                    // 편차: Error = Sigma - Theory (전류 젯팅 등 비정상 오차)
                    Vector256<float> vErr = Avx.Subtract(vSigma, vTheory);

                    // 피에조 정렬 전압 = -Gain * Error
                    Vector256<float> vPiezo = Avx.Multiply(Avx.Subtract(Vector256<float>.Zero, vErr), vGain);

                    vSigma.CopyTo(_chiralConductivities.Slice(i, 8));
                    vPiezo.CopyTo(_piezoAlignmentVoltages.Slice(i, 8));
                }
            }

            for (; i < length; i++)
            {
                float bSq = _magneticFields[i] * _magneticFields[i];
                float sigma = (_measuredCurrents[i] / (_measuredVoltages[i] + 1e-4f)) * 1000.0f;
                float theory = _baseConductivity + (_chiralCoefficient * bSq);
                float err = sigma - theory;
                _chiralConductivities[i] = sigma;
                _piezoAlignmentVoltages[i] = -_piezoGain * err;
            }
        }
    }
}