diff --git a/crypto/bn/bn_mod.c b/crypto/bn/bn_mod.c
index d8e2e12c1e094..ab847cb5ea2af 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)
@@ -110,6 +111,70 @@ int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
     return BN_nnmod(r, r, m, ctx);
 }
 
+/*
+ * 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
diff --git a/crypto/bn/bn_mont.c b/crypto/bn/bn_mont.c
index 683e8e946b360..393d27c392c73 100644
--- a/crypto/bn/bn_mont.c
+++ b/crypto/bn/bn_mont.c
@@ -64,10 +64,10 @@ int bn_mul_mont_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
 
     bn_check_top(tmp);
     if (a == b) {
-        if (!BN_sqr(tmp, a, ctx))
+        if (!bn_sqr_fixed_top(tmp, a, ctx))
             goto err;
     } else {
-        if (!BN_mul(tmp, a, b, ctx))
+        if (!bn_mul_fixed_top(tmp, a, b, ctx))
             goto err;
     }
     /* reduce from aRR to aR */
@@ -90,6 +90,7 @@ static int bn_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont)
     BIGNUM *n;
     BN_ULONG *ap, *np, *rp, n0, v, carry;
     int nl, max, i;
+    unsigned int rtop;
 
     n = &(mont->N);
     nl = n->top;
@@ -107,9 +108,10 @@ static int bn_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont)
     rp = r->d;
 
     /* clear the top words of T */
-    i = max - r->top;
-    if (i)
-        memset(&rp[r->top], 0, sizeof(*rp) * i);
+    for (rtop = r->top, i = 0; i < max; i++) {
+        v = (BN_ULONG)0 - ((i - rtop) >> (8 * sizeof(rtop) - 1));
+        rp[i] &= v;
+    }
 
     r->top = max;
     r->flags |= BN_FLG_FIXED_TOP;
@@ -159,6 +161,18 @@ static int bn_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont)
 
 int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont,
                        BN_CTX *ctx)
+{
+    int retn;
+
+    retn = bn_from_mont_fixed_top(ret, a, mont, ctx);
+    bn_correct_top(ret);
+    bn_check_top(ret);
+
+    return retn;
+}
+
+int bn_from_mont_fixed_top(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont,
+                           BN_CTX *ctx)
 {
     int retn = 0;
 #ifdef MONT_WORD
@@ -167,8 +181,6 @@ int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont,
     BN_CTX_start(ctx);
     if ((t = BN_CTX_get(ctx)) && BN_copy(t, a)) {
         retn = bn_from_montgomery_word(ret, t, mont);
-        bn_correct_top(ret);
-        bn_check_top(ret);
     }
     BN_CTX_end(ctx);
 #else                           /* !MONT_WORD */
diff --git a/crypto/bn/bn_mul.c b/crypto/bn/bn_mul.c
index 07aaf5891feba..bbbb84ac30c5d 100644
--- a/crypto/bn/bn_mul.c
+++ b/crypto/bn/bn_mul.c
@@ -495,6 +495,16 @@ void bn_mul_low_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
 #endif                          /* BN_RECURSION */
 
 int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+{
+    int ret = bn_mul_fixed_top(r, a, b, ctx);
+
+    bn_correct_top(r);
+    bn_check_top(r);
+
+    return ret;
+}
+
+int bn_mul_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
 {
     int ret = 0;
     int top, al, bl;
@@ -598,7 +608,7 @@ int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
  end:
 #endif
     rr->neg = a->neg ^ b->neg;
-    bn_correct_top(rr);
+    rr->flags |= BN_FLG_FIXED_TOP;
     if (r != rr && BN_copy(r, rr) == NULL)
         goto err;
 
diff --git a/crypto/bn/bn_sqr.c b/crypto/bn/bn_sqr.c
index 40f7b23b4faa2..8334b81fd4a4e 100644
--- a/crypto/bn/bn_sqr.c
+++ b/crypto/bn/bn_sqr.c
@@ -15,6 +15,16 @@
  * I've just gone over this and it is now %20 faster on x86 - eay - 27 Jun 96
  */
 int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
+{
+    int ret = bn_sqr_fixed_top(r, a, ctx);
+
+    bn_correct_top(r);
+    bn_check_top(r);
+
+    return ret;
+}
+
+int bn_sqr_fixed_top(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
 {
     int max, al;
     int ret = 0;
@@ -83,7 +93,7 @@ int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
 
     rr->neg = 0;
     rr->top = max;
-    bn_correct_top(rr);
+    rr->flags |= BN_FLG_FIXED_TOP;
     if (r != rr && BN_copy(r, rr) == NULL)
         goto err;
 
diff --git a/crypto/include/internal/bn_int.h b/crypto/include/internal/bn_int.h
index f592912ca84ed..479f25891b63b 100644
--- a/crypto/include/internal/bn_int.h
+++ b/crypto/include/internal/bn_int.h
@@ -71,7 +71,13 @@ int bn_mul_mont_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
                           BN_MONT_CTX *mont, BN_CTX *ctx);
 int bn_to_mont_fixed_top(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
                          BN_CTX *ctx);
+int bn_from_mont_fixed_top(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
+                           BN_CTX *ctx);
 int bn_mod_add_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
                          const BIGNUM *m);
+int bn_mod_sub_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+                         const BIGNUM *m);
+int bn_mul_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+int bn_sqr_fixed_top(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx);
 
 #endif