Created
April 14, 2011 19:39
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integer pow() using Montgomery's ladder
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/* Montgomery's Ladder Technique | |
* http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.5.4956&rep=rep1&type=pdf | |
*/ | |
#include <stdio.h> | |
#include <limits.h> | |
static unsigned long long ipow(unsigned g, unsigned k) | |
{ | |
unsigned long long r0, r1; | |
unsigned j; | |
r0 = 1; | |
r1 = g; | |
/* you can also set j to the position of the top most 1 bit */ | |
for (j = sizeof(k) * CHAR_BIT; j--; ) { | |
/* | |
fprintf(stderr, "\t[%d] r0 = %llu; r1 = %llu\n", j, r0, r1); | |
*/ | |
if ((k >> j) & 1) { | |
r0 = r0 * r1; | |
r1 = r1 * r1; | |
} else { | |
r1 = r0 * r1; | |
r0 = r0 * r0; | |
} | |
} | |
return r0; | |
} | |
static void ladder_test(unsigned g, unsigned k) | |
{ | |
unsigned long long r; | |
r = ipow(g, k); | |
fprintf(stdout, "%u^%u = %llu\n", g, k, r); | |
} | |
int main() | |
{ | |
ladder_test(3, 30); | |
ladder_test(64, 7); | |
return 0; | |
} |
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