#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>

double height(int argc, char *argv[], int j, double temp, double recHeight, double midRec) {
   double end = atof(argv[2]);
   double incNum = atof(argv[3]);
   double low = atof(argv[4]);
   double high = atof(argv[5]);
   double numArgs = argc - 7;

   if (j > numArgs) return 0;

   recHeight = atof(argv[j+6]) * pow(midRec,temp);

   return recHeight + height(argc, argv, j + 1, temp - 1, recHeight, midRec);
}

double sum(int argc, char *argv[], double width, double recArea, int i, double N) {
   double end = atof(argv[2]);
   double incNum = atof(argv[3]);
   double low = atof(argv[4]);
   double high = atof(argv[5]);
   double numArgs = argc - 7;

   if (i > N) return 0;

   double leftEdge = (low + ((i-1) * width));
   double rightEdge = (low + i*width);
   double midRec = (leftEdge + rightEdge)/2.0;
   double recHeight = 0.0;
   double temp = numArgs;
   int j = 0;
   recHeight = height(argc, argv, j, temp, recHeight, midRec);

   recArea = recHeight * width;
   return recArea + sum(argc, argv, width, recArea, i + 1, N);
}

double incFunc(double N, int argc, char *argv[]) {
   double end = atof(argv[2]);
   double incNum = atof(argv[3]);
   double low = atof(argv[4]);
   double high = atof(argv[5]);
   double numArgs = argc - 7;

   if (N > end) return 0;

   double width = (high - low)/N;
   double recArea = 0.0;
   int i = 0;
      recArea = sum(argc, argv, width, recArea, i, N);

   printf("%lf\t %lf\n", N, recArea);
   return N + incFunc(N + incNum, argc, argv);
}


int main(int argc, char *argv[]){
   double N = atof(argv[1]);

   incFunc(N, argc, argv);

   /*
         for(int j = 0; j <= numArgs; j++){
            recHeight = ((atof(argv[j+6]) * pow(midRec,temp)) + recHeight);
            temp--;
         }

         recArea = (recArea + (recHeight * width));
      }
*/
}