Score

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

int nutty_votes[10*10] =
{
    5,4,5,5,4,3,4,5,3,4,
    3,4,5,5,4,5,4,4,3,3,
    4,3,3,3,5,4,5,5,4,4,
    5,3,3,4,4,5,3,4,5,5,
    4,4,4,4,4,4,4,4,4,4,
    5,4,3,3,4,5,5,3,5,4,
    4,3,4,4,5,5,5,3,4,4,
    4,5,5,4,3,3,4,3,5,5,
    4,4,5,4,4,5,3,5,3,3,
    3,4,4,4,4,4,4,4,4,4,
};

int better_votes[10*10] =
{
    1,2,3,4,5,6,7,8,9,10,
    8,10,4,2,3,5,7,6,9,1,
    4,1,2,3,7,6,9,8,5,10,
    10,9,8,7,6,5,4,3,2,1,
    9,2,8,3,7,4,6,5,10,1,
    1,9,8,7,6,5,2,3,10,4,
    5,4,3,2,1,6,7,8,9,10,
    5,3,4,2,6,1,9,8,10,7,
    1,4,7,10,2,5,8,9,3,6,
    8,6,7,5,3,10,9,2,1,4,
};

void generate_irrationals(double *destination, int count)
{
    int i;
    int skips = 0;
    double x;
    for (i = 0; i - skips < count; i++) {
        x = sqrt(i);

        if (floor(x) == x) {
            skips++;
            continue;
        }

        destination[i - skips] = x;
    }
}

void print_table_of_doubles_and_squares(const char *header, double *ptr, int length)
{
    int i;
    printf("%s:\n", header);
    for (i = 0; i < length; i++) {
        printf("\t%g, ^2 = %g\n", ptr[i], ptr[i] * ptr[i]);
    }
    printf("\n");
}

void test_vote(int *vote, double *irrationals)
{
    int i, j;
    int sum[10];
    double irr_sum[10];

    for (i = 0; i < 10; i++) {
        printf("item %i: ", i + 1);
        for (int j = 0; j < 10; j++) {
            const int linear_score = vote[i*10 + j];
            printf("%i,", linear_score);
        }
        printf("\n");
    }
    printf("\n");

    printf("linear sums: ");
    for (i = 0; i < 10; i++) {
        sum[i] = 0;
        for (j = 0; j < 10; j++) {
            // sum up "points"
            sum[i] += vote[i*10 + j];
        }
        printf("%i,", sum[i]);
    }
    printf("\n\n");

    printf("irrational sums:\n");
    for (i = 0; i < 10; i++) {
        irr_sum[i] = 0.0;
        for (j = 0; j < 10; j++) {
            // sum up "points"
            irr_sum[i] += irrationals[vote[i*10 + j] - 1];
        }
        printf("\tlin %g, squared %g\n", irr_sum[i], irr_sum[i] * irr_sum[i]);
    }
    printf("\n");
}

void test_vote_better(int *vote, double *irrationals)
{
    int i, j;
    int sum[10];
    double irr_sum[10];

    // clear tables
    for (int i = 0; i < 10; i++) {
        sum[i] = 0;
    }

    for (i = 0; i < 10; i++) {
        irr_sum[i] = 0.0;
    }

    for (i = 0; i < 10; i++) {
        printf("item %i: ", i + 1);
        for (j = 0; j < 10; j++) {
            printf("%i,", vote[i*10 + j]);
        }
        printf("\n");
    }
    printf("\n");

    printf("linear sums: ");
    for (i = 0; i < 10; i++) {
        for (j = 0; j < 10; j++) {
            // the value in the table is the target of the vote, not the score
            // the score is determined by the position in the list
            // best score = N (10)
            // worst score = 1
            sum[vote[i*10 + j] - 1] += 10 - i;
        }
        printf("%i,", sum[i]);
    }
    printf("\n\n");


    printf("irrational sums:\n");
    for (int i = 0; i < 10; i++) {
        for (int j = 0; j < 10; j++) {
            // the value in the table is the target of the vote, not the score
            // the score is determined by the position in the list
            // best score = N (10)
            // worst score = 1
            irr_sum[vote[i*10 + j] - 1] += irrationals[10 - i - 1];
        }
        printf("\tlin %g, squared %g\n", irr_sum[i], irr_sum[i] * irr_sum[i]);
    }
    printf("\n");
}

int main(int argc, char **argv)
{
    double irrationals[10];
    generate_irrationals(irrationals, 10);
    print_table_of_doubles_and_squares("irrational score values", irrationals, 10);

    printf("nutty votes:\n");
    test_vote(nutty_votes, irrationals);
    printf("\n");

    printf("better votes:\n");
    test_vote_better(better_votes, irrationals);
    printf("\n");

    return 0;
}