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-rw-r--r--libtommath/bn_s_mp_karatsuba_sqr.c110
1 files changed, 110 insertions, 0 deletions
diff --git a/libtommath/bn_s_mp_karatsuba_sqr.c b/libtommath/bn_s_mp_karatsuba_sqr.c
new file mode 100644
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--- /dev/null
+++ b/libtommath/bn_s_mp_karatsuba_sqr.c
@@ -0,0 +1,110 @@
+#include "tommath_private.h"
+#ifdef BN_S_MP_KARATSUBA_SQR_C
+/* LibTomMath, multiple-precision integer library -- Tom St Denis */
+/* SPDX-License-Identifier: Unlicense */
+
+/* Karatsuba squaring, computes b = a*a using three
+ * half size squarings
+ *
+ * See comments of karatsuba_mul for details. It
+ * is essentially the same algorithm but merely
+ * tuned to perform recursive squarings.
+ */
+mp_err s_mp_karatsuba_sqr(const mp_int *a, mp_int *b)
+{
+ mp_int x0, x1, t1, t2, x0x0, x1x1;
+ int B;
+ mp_err err = MP_MEM;
+
+ /* min # of digits */
+ B = a->used;
+
+ /* now divide in two */
+ B = B >> 1;
+
+ /* init copy all the temps */
+ if (mp_init_size(&x0, B) != MP_OKAY)
+ goto LBL_ERR;
+ if (mp_init_size(&x1, a->used - B) != MP_OKAY)
+ goto X0;
+
+ /* init temps */
+ if (mp_init_size(&t1, a->used * 2) != MP_OKAY)
+ goto X1;
+ if (mp_init_size(&t2, a->used * 2) != MP_OKAY)
+ goto T1;
+ if (mp_init_size(&x0x0, B * 2) != MP_OKAY)
+ goto T2;
+ if (mp_init_size(&x1x1, (a->used - B) * 2) != MP_OKAY)
+ goto X0X0;
+
+ {
+ int x;
+ mp_digit *dst, *src;
+
+ src = a->dp;
+
+ /* now shift the digits */
+ dst = x0.dp;
+ for (x = 0; x < B; x++) {
+ *dst++ = *src++;
+ }
+
+ dst = x1.dp;
+ for (x = B; x < a->used; x++) {
+ *dst++ = *src++;
+ }
+ }
+
+ x0.used = B;
+ x1.used = a->used - B;
+
+ mp_clamp(&x0);
+
+ /* now calc the products x0*x0 and x1*x1 */
+ if (mp_sqr(&x0, &x0x0) != MP_OKAY)
+ goto X1X1; /* x0x0 = x0*x0 */
+ if (mp_sqr(&x1, &x1x1) != MP_OKAY)
+ goto X1X1; /* x1x1 = x1*x1 */
+
+ /* now calc (x1+x0)**2 */
+ if (s_mp_add(&x1, &x0, &t1) != MP_OKAY)
+ goto X1X1; /* t1 = x1 - x0 */
+ if (mp_sqr(&t1, &t1) != MP_OKAY)
+ goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */
+
+ /* add x0y0 */
+ if (s_mp_add(&x0x0, &x1x1, &t2) != MP_OKAY)
+ goto X1X1; /* t2 = x0x0 + x1x1 */
+ if (s_mp_sub(&t1, &t2, &t1) != MP_OKAY)
+ goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */
+
+ /* shift by B */
+ if (mp_lshd(&t1, B) != MP_OKAY)
+ goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))<<B */
+ if (mp_lshd(&x1x1, B * 2) != MP_OKAY)
+ goto X1X1; /* x1x1 = x1x1 << 2*B */
+
+ if (mp_add(&x0x0, &t1, &t1) != MP_OKAY)
+ goto X1X1; /* t1 = x0x0 + t1 */
+ if (mp_add(&t1, &x1x1, b) != MP_OKAY)
+ goto X1X1; /* t1 = x0x0 + t1 + x1x1 */
+
+ err = MP_OKAY;
+
+X1X1:
+ mp_clear(&x1x1);
+X0X0:
+ mp_clear(&x0x0);
+T2:
+ mp_clear(&t2);
+T1:
+ mp_clear(&t1);
+X1:
+ mp_clear(&x1);
+X0:
+ mp_clear(&x0);
+LBL_ERR:
+ return err;
+}
+#endif