방사광 X선 극저온 나노프로브 철기반 초전도체 네마틱 스핀-격자 양자 요동 계측 서보 C# SIMD 엔진

3. Zero-Allocation C# SIMD 철기반 초전도체 네마틱 제어 서보 엔진

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

namespace ZeliDesk.Stem.Synchrotron.IronSuperconductor
{
    public readonly ref struct IronNematicState
    {
        public readonly float NematicSusceptibility;
        public readonly float LatticeOrthorhombicityPpm;
        public readonly float PiezoTuningVoltage;
        public readonly bool QuantumFluctuationLocked;

        public IronNematicState(float susc, float ortho, float volt, bool locked)
        {
            NematicSusceptibility = susc;
            LatticeOrthorhombicityPpm = ortho;
            PiezoTuningVoltage = volt;
            QuantumFluctuationLocked = locked;
        }
    }

    public sealed class IronSuperconductorNematicServoEngine
    {
        private const float SampleRateHz = 100000.0f;
        private const float Dt = 1.0f / SampleRateHz;

        // 목표 사방정계 변형률 (네마틱 상전이 경계면 500 ppm 유지)
        private const float TargetOrthoPpm = 500.0f;

        // PI 서보 제어 상태
        private float _orthoIntegral = 0.0f;
        private float _prevError = 0.0f;
        private const float KpStrain = 0.085f;
        private const float KiStrain = 18.0f;

        [MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
        public IronNematicState RegulateNematicFluctuation(
            float deltaResistanceOverR,
            float appliedStrainPpm,
            float sampleTemperatureK,
            float braggPeakSplittingArcSec)
        {
            // 1. 엘라스토저항으로부터 네마틱 서셉티빌리티 계산: 2m_nem = DeltaR/R / Strain
            float safeStrain = MathF.Max(MathF.Abs(appliedStrainPpm), 1.0f) * 1.0e-6f;
            float nematicSusceptibility = deltaResistanceOverR / safeStrain;

            // 2. 브래그 피크 분할 폭으로부터 사방정계 격자 왜곡율(ppm) 역산
            float orthorhombicityPpm = braggPeakSplittingArcSec * 12.5f;

            // 3. 오차 계산
            float error = TargetOrthoPpm - orthorhombicityPpm;

            // 4. 적분 연산 및 윈드업 제한
            _orthoIntegral += error * Dt;
            _orthoIntegral = Math.Clamp(_orthoIntegral, -5.0f, 5.0f);

            // 퀴리-바이스 온도 발산 보정 (T_nem ~ 90K 가정)
            float tempWeight = MathF.Max(0.2f, (sampleTemperatureK - 75.0f) / 50.0f);
            float controlDemand = ((KpStrain * error) + (KiStrain * _orthoIntegral)) * tempWeight;

            // 피에조 스택 구동 전압 (0 ~ 120V)
            float tuningVoltage = Math.Clamp(45.0f + controlDemand, 0.0f, 120.0f);

            bool isLocked = MathF.Abs(error) < 15.0f;

            return new IronNematicState(
                susc: nematicSusceptibility,
                ortho: orthorhombicityPpm,
                volt: tuningVoltage,
                locked: isLocked
            );
        }
    }
}