Initial data commit

Task/Partition-function-P/C/partition-function-p.c

@@ -0,0 +1,37 @@
+#include <stdint.h>
+#include <stdlib.h>
+#include <stdio.h>
+#include <time.h>
+#include <gmp.h>
+
+mpz_t* partition(uint64_t n) {
+	mpz_t *pn = (mpz_t *)malloc((n + 2) * sizeof(mpz_t));
+	mpz_init_set_ui(pn[0], 1);
+	mpz_init_set_ui(pn[1], 1);
+	for (uint64_t i = 2; i < n + 2; i ++) {
+		mpz_init(pn[i]);
+		for (uint64_t k = 1, penta; ; k++) {
+			penta = k * (3 * k - 1) >> 1;
+			if (penta >= i) break;
+			if (k & 1) mpz_add(pn[i], pn[i], pn[i - penta]);
+			else mpz_sub(pn[i], pn[i], pn[i - penta]);
+			penta += k;
+			if (penta >= i) break;
+			if (k & 1) mpz_add(pn[i], pn[i], pn[i - penta]);
+			else mpz_sub(pn[i], pn[i], pn[i - penta]);
+		}
+	}
+	mpz_t *tmp = &pn[n + 1];
+	for (uint64_t i = 0; i < n + 1; i ++) mpz_clear(pn[i]);
+	free(pn);
+	return tmp;
+}
+
+int main(int argc, char const *argv[]) {
+	clock_t start = clock();
+	mpz_t *p = partition(6666);
+	gmp_printf("%Zd\n", p);
+	printf("Elapsed time: %.04f seconds\n",
+		(double)(clock() - start) / (double)CLOCKS_PER_SEC);
+	return 0;
+}