dear grinners,
The attached plot summarizes how the bitcoin emission compares to that of grin
over the first 200 years, assuming a 2% yearly loss of coins.
It was produced from the C program below.
Use arguments -l 0 for the lossless bitcoin emission,
no arguments for bitcoin with 2% loss, and
-s 37 -p 0 for the grin emission in the plot.
#include <stdio.h>
#include <stdlib.h>
#include <unistd.h>
#include <math.h>
int main(int argc, char **argv) {
double reward = 50, power = 0.25, scale = 6*50, loss = 0.02;
int years = 200, dy = 4, c;
while ((c = getopt(argc, argv, "d:p:l:s:y:")) != -1) {
switch (c) {
case 'd':
dy = atoi(optarg); // change reward every dy years
break;
case 'p': // emission is reward * 2^{-year*power}, bitcoin
power is 1/4, halving every 4 years
power = atof(optarg);
break;
case 'l': // yearly loss as fraction of supply
loss = atof(optarg);
break;
case 's':
scale = atof(optarg); // scale in hourly reward
break;
case 'y':
years = atoi(optarg);
break;
}
}
scale *= 24 * 365; // scale in hourly reward
double base = pow(0.5, power), em = 0, sup = 0.0, oldsup, inf = 0;
for (int y=0; y<years; y+=dy) {
printf("year %d emission %lf supply %lf inflation %lf\n", y, em, sup, inf);
for (int yi=0; yi<dy; yi++) {
em = scale * pow(base, y);
oldsup = sup;
sup += em;
sup *= 1.0 - loss;
inf = (sup-oldsup) / sup;
}
}
return 0;
}
regards,
-John
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