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Newton's Cradle
Click here to access Samuel Rutherford's Letters, available as a PDF download.
#include <stdio.h>
#include <math.h>
void main()
{
int outcome;
float a, b, Ea, Eb, Sa, Sb;
printf("Enter player A's initial rating: ");
scanf("%f", &a);
printf("Enter player B's initial rating: ");
scanf("%f", &b);
printf("Did player A win(1), lose(2), or draw(3)? ");
scanf("%i", &outcome);
while((outcome != 1) && (outcome != 2) && (outcome !=3))
{
printf("\nERROR -- must choose 1, 2, or 3\n\n");
printf("Did player A win(1), lose(2), or draw(3)? ");
scanf("%i", &outcome);
}
Ea = 1 / (1 + pow(10,((b-a)/400)));
Eb = 1 / (1 + pow(10,((a-b)/400)));
if ( outcome == 1 )
{
Sa = 1;
Sb = 0;
}
else if ( outcome == 2 )
{
Sa = 0;
Sb = 1;
}
else
{
Sa = 0.5;
Sb = 0.5;
}
printf("\nPlayer A has a new rating of %f\n", a + 32*(Sa - Ea));
printf("Player B has a new rating of %f\n\n", b + 32*(Sb - Eb));
return;
}