Just for fun: a C-based calculator for Yang's (2005; "On Productivity", Language Variation Yearbook) Tolerance function

tolerance.c

/*
 *  Tolerance Principle calculator, based on:
 * 
 *  C. Yang (2005). On productivity. Language Variation Yearbook 5:333-370.
 *  
 *  Definition: 
 * 
 *  The number of data points consistent with a rule R is given by N, and the 
 *  number of exceptions to it by m. By Tolerance, R is productive iff:
 *  
 *  m < (N + m) / ln (N + m)
 *
 *  To compile, run: 
 *  
 *  cc tolerance.c -lm -o tolerance
 */

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

unsigned int tolerance_point(unsigned int m, unsigned int N) { // do the work
    unsigned int p = m + N;
    return floor(p / log(p)); // implicit cast to unsigned int
}

int main(int argc, char* argv[]) {
    if (argc != 3) {
        fprintf(stderr, "\nSynposis:\n\n\ttolerance m N\n\nAborting.\n");
    }

    else {
        unsigned int m = atoi(argv[1]);
        unsigned int N = atoi(argv[2]);
        unsigned int tp = tolerance_point(m, N);
        if (m > tp) {
            printf("No productive generalization: ");
            printf("tolerance point %d < %d exceptions\n", tp, m);
        }
        else {
            printf("The N's have it: ");
            printf("tolerance point %d > %d exceptions\n", tp, m);
        }
    }
}