/* error_zeta1.c
積み残し現象
1/1 + 1/2 + 1/3 + ... は無限大だが ...
*/

#include<stdio.h>

int main()
{
    int c = 0, i = 0;
    float x = 0.0, y = -1.0;
    while(x != y){
        i++; c++;
        y = x;
        x += 1.0 / i;
        if(c == 100000){
            printf("1/1 + 1/2 + ... + 1/%7d = %9.6f\n", i, x);
            c = 0;
        }
    }
    printf("ここから先は和の値が増えなくなりました:\n", i);
    printf("1/1 + 1/2 + ... + 1/%7d = %9.6f\n", i, x);
}

/*

1/1 + 1/2 + ... + 1/ 100000 = 12.090851
1/1 + 1/2 + ... + 1/ 200000 = 12.782757
1/1 + 1/2 + ... + 1/ 300000 = 13.195325
1/1 + 1/2 + ... + 1/ 400000 = 13.481427
1/1 + 1/2 + ... + 1/ 500000 = 13.690692
1/1 + 1/2 + ... + 1/ 600000 = 13.881427
1/1 + 1/2 + ... + 1/ 700000 = 14.071256
1/1 + 1/2 + ... + 1/ 800000 = 14.166623
1/1 + 1/2 + ... + 1/ 900000 = 14.261991
1/1 + 1/2 + ... + 1/1000000 = 14.357358
1/1 + 1/2 + ... + 1/1100000 = 14.452725
1/1 + 1/2 + ... + 1/1200000 = 14.548093
1/1 + 1/2 + ... + 1/1300000 = 14.643460
1/1 + 1/2 + ... + 1/1400000 = 14.738828
1/1 + 1/2 + ... + 1/1500000 = 14.834195
1/1 + 1/2 + ... + 1/1600000 = 14.929563
1/1 + 1/2 + ... + 1/1700000 = 15.024930
1/1 + 1/2 + ... + 1/1800000 = 15.120297
1/1 + 1/2 + ... + 1/1900000 = 15.215665
1/1 + 1/2 + ... + 1/2000000 = 15.311032
ここから先は和の値が増えなくなりました:
1/1 + 1/2 + ... + 1/2097152 = 15.403683

*/