극저온 방사광 X-선 나노회절 기반 꼬인 고온 초전도 쿠프레이트(Bi2Sr2CaCu2O8+d) 조셉슨 접합 키랄 d-파 초유체 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.CuprateSuperconductors
{
    /// <summary>
    /// 꼬인 고온 초전도 쿠프레이트(Bi2212) 조셉슨 접합 키랄 d-파 초유체 서보
    /// GC 제로 할당 ref struct 및 AVX-256 SIMD 가속화
    /// </summary>
    public ref struct TwistedCuprateJosephsonServo
    {
        private readonly ReadOnlySpan<float> _measuredTwistAngles; // 실측 꼬임각 theta (deg)
        private readonly ReadOnlySpan<float> _junctionCurrents;    // 실측 조셉슨 전류 I (uA)
        private readonly Span<float> _secondHarmonicFractions;     // 2차 조셉슨 비율 I2 / (I1 + I2)
        private readonly Span<float> _microwavePhaseAdjustments;   // 마이크로파 능동 위상 보정 (rad)

        private readonly float _targetMagicAngle; // 이상적 45.0도
        private readonly float _criticalCurrent2; // 2차 조셉슨 임계전류 Ic2 (uA)
        private readonly float _angleFeedbackGain;// 각도 오차 피드백 게인

        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public TwistedCuprateJosephsonServo(
            ReadOnlySpan<float> measuredTwistAngles,
            ReadOnlySpan<float> junctionCurrents,
            Span<float> secondHarmonicFractions,
            Span<float> microwavePhaseAdjustments,
            float targetMagicAngle = 45.0f,
            float criticalCurrent2 = 150.0f,
            float angleFeedbackGain = 0.045f)
        {
            _measuredTwistAngles = measuredTwistAngles;
            _junctionCurrents = junctionCurrents;
            _secondHarmonicFractions = secondHarmonicFractions;
            _microwavePhaseAdjustments = microwavePhaseAdjustments;
            _targetMagicAngle = targetMagicAngle;
            _criticalCurrent2 = criticalCurrent2;
            _angleFeedbackGain = angleFeedbackGain;
        }

        /// <summary>
        /// 8채널 조셉슨 접합의 꼬임각 편차 및 2차 조셉슨 터널링 비율을 SIMD 병렬 연산
        /// </summary>
        [MethodImpl(MethodImplOptions.AggressiveOptimization)]
        public void ProcessJosephsonLoop()
        {
            int length = _measuredTwistAngles.Length;
            int simdLength = length - (length % 8);

            Vector256<float> vTgtAngle = Vector256.Create(_targetMagicAngle);
            Vector256<float> vIc2 = Vector256.Create(_criticalCurrent2);
            Vector256<float> vGain = Vector256.Create(_angleFeedbackGain);
            Vector256<float> vOne = Vector256.Create(1.0f);
            Vector256<float> vDegToRad = Vector256.Create(MathF.PI / 180.0f);

            int i = 0;
            if (Avx2.IsSupported)
            {
                for (; i < simdLength; i += 8)
                {
                    Vector256<float> vAngle = Vector256.Create(MemoryMarshal.Cast<float, Vector256<float>>(_measuredTwistAngles.Slice(i, 8))[0]);
                    Vector256<float> vI = Vector256.Create(MemoryMarshal.Cast<float, Vector256<float>>(_junctionCurrents.Slice(i, 8))[0]);

                    // 각도 편차 DeltaTheta = angle - 45.0
                    Vector256<float> vDeltaTheta = Avx.Subtract(vAngle, vTgtAngle);

                    // 1차 성분 진폭 비율 Ic1 ~ cos(2 * angle)
                    // 45도 근처에서 cos(2 * (45 + dth)) = -sin(2 * dth) ~ -2 * dth_rad
                    Vector256<float> vDthRad = Avx.Multiply(vDeltaTheta, vDegToRad);
                    Vector256<float> vIc1Factor = Avx.Multiply(vDthRad, Vector256.Create(2.0f));
                    Vector256<float> vAbsIc1 = Avx.Max(vIc1Factor, Avx.Subtract(Vector256<float>.Zero, vIc1Factor));

                    // 2차 조셉슨 분율 = 1.0 / (1.0 + 3.0 * |Ic1|)
                    Vector256<float> vDenom = Avx.Add(vOne, Avx.Multiply(vAbsIc1, Vector256.Create(3.0f)));
                    Vector256<float> vFraction = Avx.Divide(vOne, vDenom);

                    // 마이크로파 위상 보정값 = Gain * DeltaTheta
                    Vector256<float> vPhaseAdj = Avx.Multiply(vDeltaTheta, vGain);

                    vFraction.CopyTo(_secondHarmonicFractions.Slice(i, 8));
                    vPhaseAdj.CopyTo(_microwavePhaseAdjustments.Slice(i, 8));
                }
            }

            for (; i < length; i++)
            {
                float deltaTheta = _measuredTwistAngles[i] - _targetMagicAngle;
                float dthRad = deltaTheta * (MathF.PI / 180.0f);
                float absIc1 = MathF.Abs(dthRad * 2.0f);
                float frac = 1.0f / (1.0f + (3.0f * absIc1));
                _secondHarmonicFractions[i] = frac;
                _microwavePhaseAdjustments[i] = deltaTheta * _angleFeedbackGain;
            }
        }
    }
}