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authorAndy Polyakov <appro@openssl.org>2018-08-10 19:31:22 +0200
committerAndy Polyakov <appro@openssl.org>2018-08-23 22:20:35 +0200
commitfcc4ee09473cac511eca90faa003661c7786e4f9 (patch)
treeb632f6792647ed32472a8d898437553df80a5ba3 /crypto/bn/bn_mod.c
parent0b89db6b2acb6cca36f812ba51119927563b3cac (diff)
crypto/bn: add more fixed-top routines.
Add bn_{mul|sqr}_fixed_top, bn_from_mont_fixed_top, bn_mod_sub_fixed_top. Switch to bn_{mul|sqr}_fixed_top in bn_mul_mont_fixed_top and remove memset in bn_from_montgomery_word. Reviewed-by: Paul Dale <paul.dale@oracle.com> (Merged from https://github.com/openssl/openssl/pull/6915)
Diffstat (limited to 'crypto/bn/bn_mod.c')
-rw-r--r--crypto/bn/bn_mod.c67
1 files changed, 66 insertions, 1 deletions
diff --git a/crypto/bn/bn_mod.c b/crypto/bn/bn_mod.c
index d8e2e12c1e..ab847cb5ea 100644
--- a/crypto/bn/bn_mod.c
+++ b/crypto/bn/bn_mod.c
@@ -58,7 +58,7 @@ int bn_mod_add_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
if (mtop > sizeof(storage) / sizeof(storage[0])
&& (tp = OPENSSL_malloc(mtop * sizeof(BN_ULONG))) == NULL)
- return 0;
+ return 0;
ap = a->d != NULL ? a->d : tp;
bp = b->d != NULL ? b->d : tp;
@@ -83,6 +83,7 @@ int bn_mod_add_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
((volatile BN_ULONG *)tp)[i] = 0;
}
r->top = mtop;
+ r->flags |= BN_FLG_FIXED_TOP;
r->neg = 0;
if (tp != storage)
@@ -111,6 +112,70 @@ int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
}
/*
+ * BN_mod_sub variant that may be used if both a and b are non-negative,
+ * a is less than m, while b is of same bit width as m. It's implemented
+ * as subtraction followed by two conditional additions.
+ *
+ * 0 <= a < m
+ * 0 <= b < 2^w < 2*m
+ *
+ * after subtraction
+ *
+ * -2*m < r = a - b < m
+ *
+ * Thus it takes up to two conditional additions to make |r| positive.
+ */
+int bn_mod_sub_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *m)
+{
+ size_t i, ai, bi, mtop = m->top;
+ BN_ULONG borrow, carry, ta, tb, mask, *rp;
+ const BN_ULONG *ap, *bp;
+
+ if (bn_wexpand(r, mtop) == NULL)
+ return 0;
+
+ rp = r->d;
+ ap = a->d != NULL ? a->d : rp;
+ bp = b->d != NULL ? b->d : rp;
+
+ for (i = 0, ai = 0, bi = 0, borrow = 0; i < mtop;) {
+ mask = (BN_ULONG)0 - ((i - a->top) >> (8 * sizeof(i) - 1));
+ ta = ap[ai] & mask;
+
+ mask = (BN_ULONG)0 - ((i - b->top) >> (8 * sizeof(i) - 1));
+ tb = bp[bi] & mask;
+ rp[i] = ta - tb - borrow;
+ if (ta != tb)
+ borrow = (ta < tb);
+
+ i++;
+ ai += (i - a->dmax) >> (8 * sizeof(i) - 1);
+ bi += (i - b->dmax) >> (8 * sizeof(i) - 1);
+ }
+ ap = m->d;
+ for (i = 0, mask = 0 - borrow, carry = 0; i < mtop; i++) {
+ ta = ((ap[i] & mask) + carry) & BN_MASK2;
+ carry = (ta < carry);
+ rp[i] = (rp[i] + ta) & BN_MASK2;
+ carry += (rp[i] < ta);
+ }
+ borrow -= carry;
+ for (i = 0, mask = 0 - borrow, carry = 0; i < mtop; i++) {
+ ta = ((ap[i] & mask) + carry) & BN_MASK2;
+ carry = (ta < carry);
+ rp[i] = (rp[i] + ta) & BN_MASK2;
+ carry += (rp[i] < ta);
+ }
+
+ r->top = mtop;
+ r->flags |= BN_FLG_FIXED_TOP;
+ r->neg = 0;
+
+ return 1;
+}
+
+/*
* BN_mod_sub variant that may be used if both a and b are non-negative and
* less than m
*/