--- /dev/null
+/*
+ * Copyright © 2013 Keith Packard <keithp@keithp.com>
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; version 2 of the License.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License along
+ * with this program; if not, write to the Free Software Foundation, Inc.,
+ * 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA.
+ */
+
+#include <ao_int64.h>
+
+void ao_plus64(ao_int64_t *r, ao_int64_t *a, ao_int64_t *b) {
+ uint32_t t;
+
+ r->low = t = a->low + b->low;
+ r->high = a->high + b->high;
+ if (t < a->low)
+ r->high++;
+}
+
+void ao_rshift64(ao_int64_t *r, ao_int64_t *a, uint8_t d) {
+ if (d < 32) {
+ r->high = (int32_t) a->high >> d;
+ r->low = a->low >> d;
+ if (d)
+ r->low |= a->high << (32 - d);
+ } else {
+ d &= 0x1f;
+ r->high = 0;
+ r->low = (int32_t) a->high >> d;
+ }
+}
+
+void ao_lshift64(ao_int64_t *r, ao_int64_t *a, uint8_t d) {
+ if (d < 32) {
+ r->high = a->high << d;
+ r->low = a->low << d;
+ if (d)
+ r->high |= a->low >> (32 - d);
+ } else {
+ d &= 0x1f;
+ r->low = 0;
+ r->high = a->low << d;
+ }
+}
+
+void ao_umul64(ao_int64_t *r, uint32_t a, uint32_t b)
+{
+ uint32_t r1;
+ uint32_t r2, r3, r4;
+ ao_int64_t s,t,u,v;
+ r1 = (uint32_t) (uint16_t) a * (uint16_t) b;
+ r2 = (uint32_t) (uint16_t) (a >> 16) * (uint16_t) b;
+ r3 = (uint32_t) (uint16_t) a * (uint16_t) (b >> 16);
+ r4 = (uint32_t) (uint16_t) (a >> 16) * (uint16_t) (b >> 16);
+
+ s.low = r1;
+ s.high = r4;
+
+ t.high = (uint32_t) r2 >> 16;
+ t.low = r2 << 16;
+ ao_plus64(&u, &s, &t);
+
+ v.high = (int32_t) r3 >> 16;
+ v.low = r3 << 16;
+ ao_plus64(r, &u, &v);
+}
+
+void ao_neg64(ao_int64_t *r, ao_int64_t *a) {
+ r->high = ~a->high;
+ r->low = ~a->low;
+ if (!++r->low)
+ r->high++;
+}
+
+void ao_mul64(ao_int64_t *r, int32_t a, int32_t b) {
+ uint8_t negative = 0;
+
+ if (a < 0) {
+ a = -a;
+ negative = 1;
+ }
+ if (b < 0) {
+ b = -b;
+ negative = !negative;
+ }
+ ao_umul64(r, a, b);
+ if (negative)
+ ao_neg64(r, r);
+}
+
+void ao_umul64_16(ao_int64_t *r, ao_int64_t *a, uint16_t b) {
+ uint32_t low = a->low;
+ ao_umul64(r, (uint32_t) low >> 1, (uint32_t) b << 1);
+ if (low & 1) {
+ if ((uint32_t) (r->low += b) < (uint32_t) b)
+ r->high++;
+ }
+ r->high += a->high * b;
+}
+
+void ao_mul64_16(ao_int64_t *r, ao_int64_t *a, uint16_t b) {
+ if ((int32_t) a->high < 0) {
+ ao_int64_t t;
+
+ ao_neg64(&t, a);
+ ao_umul64_16(r, &t, b);
+ ao_neg64(r, r);
+ } else
+ ao_umul64_16(r, a, b);
+}
--- /dev/null
+/*
+ * Copyright © 2013 Keith Packard <keithp@keithp.com>
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; version 2 of the License.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License along
+ * with this program; if not, write to the Free Software Foundation, Inc.,
+ * 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA.
+ */
+
+#ifndef _AO_INT64_H_
+#define _AO_INT64_H_
+
+#include <stdint.h>
+
+typedef struct {
+ uint32_t high;
+ uint32_t low;
+} ao_int64_t;
+
+void ao_plus64(ao_int64_t *r, ao_int64_t *a, ao_int64_t *b);
+void ao_rshift64(ao_int64_t *r, ao_int64_t *a, uint8_t d);
+void ao_lshift64(ao_int64_t *r, ao_int64_t *a, uint8_t d);
+void ao_mul64(ao_int64_t *r, int32_t a, int32_t b);
+void ao_mul64_16(ao_int64_t *r, ao_int64_t *a, uint16_t b);
+
+#define ao_int64_init32(r, a) (((r)->high = 0), (r)->low = (a))
+#define ao_int64_init64(r, a, b) (((r)->high = (a)), (r)->low = (b))
+
+#define ao_cast64(a) (((int64_t) (a)->high << 32) | (a)->low)
+
+#endif /* _AO_INT64_H_ */
--- /dev/null
+/*
+ * Copyright © 2013 Keith Packard <keithp@keithp.com>
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; version 2 of the License.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License along
+ * with this program; if not, write to the Free Software Foundation, Inc.,
+ * 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA.
+ */
+
+#include <ao_int64.h>
+#include <ao_int64.c>
+#include <stdio.h>
+#include <stdlib.h>
+
+int errors;
+
+#define test(op,func,a,b,ao_a,ao_b) do { \
+ r = (a) op (b); \
+ func(&ao_r, ao_a, ao_b); \
+ c = ao_cast64(&ao_r); \
+ if (c != r) { \
+ printf ("trial %4d: %lld " #func " %lld = %lld (should be %lld)\n", \
+ trial, (int64_t) (a), (int64_t) b, c, r); \
+ ++errors; \
+ } \
+ } while (0)
+
+
+void
+do_test(int trial, int64_t a, int64_t b)
+{
+ int64_t r, c;
+ ao_int64_t ao_a, ao_b, ao_r;
+
+ ao_int64_init64(&ao_a, a >> 32, a);
+ ao_int64_init64(&ao_b, b >> 32, b);
+
+ test(+, ao_plus64, a, b, &ao_a, &ao_b);
+ test(*, ao_mul64,(int64_t) (int32_t) a, (int32_t) b, (int32_t) a, (int32_t) b);
+ test(>>, ao_rshift64, a, (uint8_t) b & 0x3f, &ao_a, (uint8_t) b & 0x3f);
+ test(<<, ao_lshift64, a, (uint8_t) b & 0x3f, &ao_a, (uint8_t) b & 0x3f);
+ test(*, ao_mul64_16, a, (uint16_t) b, &ao_a, (uint16_t) b);
+}
+
+#define TESTS 10000000
+
+static int64_t
+random64(void)
+{
+ return (int64_t) random() + ((int64_t) random() << 31) /* + ((int64_t) random() << 33) */;
+}
+
+int
+main (int argc, char **argv)
+{
+ int i, start;
+
+ if (argv[1])
+ start = atoi(argv[1]);
+ else
+ start = 0;
+ srandom(1000);
+ for (i = 0; i < TESTS; i++) {
+ int64_t a = random64();
+ int64_t b = random64();
+ if (i >= start)
+ do_test(i, a, b);
+ }
+ return errors;
+}