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diff --git a/moon-abe/pbc-0.5.14/benchmark/benchmark.c b/moon-abe/pbc-0.5.14/benchmark/benchmark.c
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+#include <stdint.h> // for intptr_t
+#include "pbc.h"
+#include "pbc_test.h"
+
+/* I've heard that sometimes automatic garbage collection can outperform
+ * manual collection, so I briefly tried using the Boehm-Demers-Weiser GC
+ * library. Both GMP and PBC support custom memory allocation routines so
+ * incorporating the GC library is trivial.
+ *
+ * Automatic garbage collection appears to slow this program down a little,
+ * even if only PBC collects automatically. (The case where PBC collects
+ * manually but GMP collects automatically cannot be achieved with the GC
+ * library because PBC objects point at GMP objects.)
+ *
+ * Perhaps specially-tailored memory allocation routines could shave off
+ * some time, but one would have to thoroughly analyze PBC and GMP memory usage
+ * patterns.
+ *
+ * Below is the commented-out code that collects garbage for PBC. Of course,
+ * if you want to use it you must also tell the build system where to find
+ * gc.h and to link with the GC library.
+ *
+ * Also, you may wish to write similar code for GMP (which I unfortunately
+ * deleted before thinking that it might be useful for others).
+ * Note GC_MALLOC_ATOMIC may be used for GMP since the mpz_t type does not
+ * store pointers in the memory it allocates.
+ *
+ * The malloc and realloc functions should exit on failure but I didn't
+ * bother since I was only seeing if GC could speed up this program.
+
+#include <gc.h>
+#include <pbc_utils.h>
+
+void *gc_alloc(size_t size) {
+  return GC_MALLOC(size);
+}
+
+void *gc_realloc(void *ptr, size_t size) {
+  return GC_REALLOC(ptr, size);
+}
+
+void gc_free(void *ptr) {
+  UNUSED_VAR(ptr);
+}
+
+ * The following should be the first two statements in main()
+
+GC_INIT();
+pbc_set_memory_functions(gc_alloc, gc_realloc, gc_free);
+
+ */
+
+int main(int argc, char **argv) {
+  pairing_t pairing;
+  element_t x, y, r, r2;
+  int i, n;
+  double t0, t1, ttotal, ttotalpp;
+  pairing_pp_t pp;
+
+  // Cheat for slightly faster times:
+  // pbc_set_memory_functions(malloc, realloc, free);
+
+  pbc_demo_pairing_init(pairing, argc, argv);
+
+  element_init_G1(x, pairing);
+  element_init_G2(y, pairing);
+  element_init_GT(r, pairing);
+  element_init_GT(r2, pairing);
+
+  n = 10;
+  ttotal = 0.0;
+  ttotalpp = 0.0;
+  for (i=0; i<n; i++) {
+    element_random(x);
+    element_random(y);
+
+    pairing_pp_init(pp, x, pairing);
+    t0 = pbc_get_time();
+    pairing_pp_apply(r, y, pp);
+    t1 = pbc_get_time();
+    ttotalpp += t1 - t0;
+    pairing_pp_clear(pp);
+
+    t0 = pbc_get_time();
+
+    element_pairing(r2, x, y);
+    t1 = pbc_get_time();
+    ttotal += t1 - t0;
+
+    element_printf("x = %B\n", x);
+    element_printf("y = %B\n", y);
+    element_printf("e(x,y) = %B\n", r);
+    if (element_cmp(r, r2)) {
+      printf("BUG!\n");
+      exit(1);
+    }
+  }
+  printf("average pairing time = %f\n", ttotal / n);
+  printf("average pairing time (preprocessed) = %f\n", ttotalpp / n);
+
+  element_clear(x);
+  element_clear(y);
+  element_clear(r);
+  element_clear(r2);
+
+  pairing_clear(pairing);
+
+  return 0;
+}