求 F(x) = 6 * x^7+8*x^6+7*x^3+5*x^2-y*x (0 <= x <=100)的最小值
模拟退火,每次根据温度随机下个状态,再根据温度转移
#include<cstdio> #include<cstring> #include<iostream> #include<algorithm> #include<cmath> #define inf (double)0x3f3f3f3f3f3f3f3fll using namespace std; double y; double cal(double x){ return 6*pow(x,7.0)+8*pow(x,6.0)+7*pow(x,3.0)+5*pow(x,2.0)-y*x; } double Rand(){ return (rand()%1000)/1000.0; } double work(){ double T=100,now=0; double fnow=cal(now); double minf=min(inf,fnow); while(T>0.0000001){ double nxt=now+T*(Rand()*2-1); if(nxt>=0&&nxt<=100){ double fnxt=cal(nxt); double dE=fnow-fnxt; if((dE>0)||(exp(dE/T))>Rand()){ now=nxt;fnow=fnxt;} } T*=0.99; } return fnow; } int main(){ srand(20001101); int T; scanf("%d",&T); while(T--){ scanf("%lf",&y); printf("%0.4lf ",work()); } }