【云藏山鹰代数信息系统】云藏山鹰逻辑学与云藏山鹰逻辑系统代码浅析

云藏山鹰圆上的傅里叶变换的逻辑类型与逻辑实现

#define_USE_MATH_DEFINES#include<iostream>#include<cmath>#include<memory>#include<utility>#include<vector>#include<complex>#include<algorithm>#include<numeric>#include<string>// ==================== 基础数据结构 ====================// 定义圆上的点（极坐标）structPoint{doubletheta;// 角度（弧度）doubler;// 半径Point(doubletheta=0.0,doubler=1.0):theta(theta),r(r){// 规范化角度到 [0, 2π)normalize();}voidnormalize(){while(theta<0)theta+=2*M_PI;while(theta>=2*M_PI)theta-=2*M_PI;}// 转换为笛卡尔坐标std::pair<double,double>toCartesian()const{return{r*std::cos(theta),r*std::sin(theta)};}// 从笛卡尔坐标创建staticPointfromCartesian(doublex,doubley){doubler=std::sqrt(x*x+y*y);doubletheta=std::atan2(y,x);if(theta<0)theta+=2*M_PI;returnPoint(theta,r);}voidprint()const{std::cout<<"(θ="<<theta<<" ("<<theta*180/M_PI<<"°), r="<<r<<")";}};// 复数类型别名（用于傅里叶变换）usingComplex=std::complex<double>;// ==================== 策略接口 ====================// 策略接口：定义逻辑操作行为classLogicStrategy{public:virtualPointexecute(constPoint&p)const=0;virtualstd::stringname()const=0;virtualstd::unique_ptr<LogicStrategy>clone()const=0;virtual~LogicStrategy()=default;};// 逻辑映射策略接口classTruthMappingStrategy{public:virtualintmap(constPoint&p)const=0;virtualstd::stringname()const=0;virtual~TruthMappingStrategy()=default;};// ==================== C(2)群策略 ====================classC2IdentityStrategy:publicLogicStrategy{public:Pointexecute(constPoint&p)constoverride{returnp;// 恒等映射}std::stringname()constoverride{return"C2_E (恒等)";}std::unique_ptr<LogicStrategy>clone()constoverride{returnstd::make_unique<C2IdentityStrategy>(*this);}};classC2RotationStrategy:publicLogicStrategy{public:Pointexecute(constPoint&p)constoverride{Pointresult(p.theta+M_PI,p.r);// 旋转180度result.normalize();returnresult;}std::stringname()constoverride{return"C2_C2 (180°旋转)";}std::unique_ptr<LogicStrategy>clone()constoverride{returnstd::make_unique<C2RotationStrategy>(*this);}};// ==================== C(3)群策略 ====================classC3Rotation0Strategy:publicLogicStrategy{public:Pointexecute(constPoint&p)constoverride{returnp;// 0度旋转}std::stringname()constoverride{return"C3_E (0°)";}std::unique_ptr<LogicStrategy>clone()constoverride{returnstd::make_unique<C3Rotation0Strategy>(*this);}};classC3Rotation120Strategy:publicLogicStrategy{public:Pointexecute(constPoint&p)constoverride{Pointresult(p.theta+2*M_PI/3,p.r);// 旋转120度result.normalize();returnresult;}std::stringname()constoverride{return"C3_C3 (120°)";}std::unique_ptr<LogicStrategy>clone()constoverride{returnstd::make_unique<C3Rotation120Strategy>(*this);}};classC3Rotation240Strategy:publicLogicStrategy{public:Pointexecute(constPoint&p)constoverride{Pointresult(p.theta+4*M_PI/3,p.r);// 旋转240度result.normalize();returnresult;}std::stringname()constoverride{return"C3_C3² (240°)";}std::unique_ptr<LogicStrategy>clone()constoverride{returnstd::make_unique<C3Rotation240Strategy>(*this);}};// ==================== C(7,r)群策略（7阶循环群） ====================// C7群是7阶循环群，有7个元素：{E, C7, C7², C7³, C7⁴, C7⁵, C7⁶}// 每个元素对应旋转 k * 360°/7 = k * 51.42857...°classC7RotationStrategy:publicLogicStrategy{protected:intk;// 旋转次数（0-6）staticconstexprintN=7;staticconstexprdoubleANGLE=2*M_PI/N;// 2π/7public:explicitC7RotationStrategy(introtation_k):k(rotation_k%N){if(k<0)k+=N;}Pointexecute(constPoint&p)constoverride{Pointresult(p.theta+k*ANGLE,p.r);result.normalize();returnresult;}std::stringname()constoverride{if(k==0)return"C7_E (恒等)";return"C7_"+std::to_string(k)+" ("+std::to_string(static_cast<int>(k*360.0/N+0.5))+"°)";}std::unique_ptr<LogicStrategy>clone()constoverride{returnstd::make_unique<C7RotationStrategy>(*this);}intgetK()const{returnk;}staticintgetOrder(){returnN;}};// 为每个C7元素创建具体类（便于策略模式使用）classC7_E:publicC7RotationStrategy{public:C7_E():C7RotationStrategy(0){}std::unique_ptr<LogicStrategy>clone()constoverride{returnstd::make_unique<C7_E>(*this);}};classC7_C1:publicC7RotationStrategy{public:C7_C1():C7RotationStrategy(1){}std::unique_ptr<LogicStrategy>clone()constoverride{returnstd::make_unique<C7_C1>(*this);}};classC7_C2:publicC7RotationStrategy{public:C7_C2():C7RotationStrategy(2){}std::unique_ptr<LogicStrategy>clone()constoverride{returnstd::make_unique<C7_C2>(*this);}};classC7_C3:publicC7RotationStrategy{public:C7_C3():C7RotationStrategy(3){}std::unique_ptr<LogicStrategy>clone()constoverride{returnstd::make_unique<C7_C3>(*this);}};classC7_C4:publicC7RotationStrategy{public:C7_C4():C7RotationStrategy(4){}std::unique_ptr<LogicStrategy>clone()constoverride{returnstd::make_unique<C7_C4>(*this);}};classC7_C5:publicC7RotationStrategy{public:C7_C5():C7RotationStrategy(5){}std::unique_ptr<LogicStrategy>clone()constoverride{returnstd::make_unique<C7_C5>(*this);}};classC7_C6:publicC7RotationStrategy{public:C7_C6():C7RotationStrategy(6){}std::unique_ptr<LogicSt