zte's code,first commit

Change-Id: I9a04da59e459a9bc0d67f101f700d9d7dc8d681b
diff --git a/ap/lib/libssl/openssl-1.1.1o/crypto/bn/bn_lib.c b/ap/lib/libssl/openssl-1.1.1o/crypto/bn/bn_lib.c
new file mode 100644
index 0000000..eb4a318
--- /dev/null
+++ b/ap/lib/libssl/openssl-1.1.1o/crypto/bn/bn_lib.c
@@ -0,0 +1,1021 @@
+/*
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ *
+ * Licensed under the OpenSSL license (the "License").  You may not use
+ * this file except in compliance with the License.  You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
+ */
+
+#include <assert.h>
+#include <limits.h>
+#include "internal/cryptlib.h"
+#include "bn_local.h"
+#include <openssl/opensslconf.h>
+#include "internal/constant_time.h"
+
+/* This stuff appears to be completely unused, so is deprecated */
+#if OPENSSL_API_COMPAT < 0x00908000L
+/*-
+ * For a 32 bit machine
+ * 2 -   4 ==  128
+ * 3 -   8 ==  256
+ * 4 -  16 ==  512
+ * 5 -  32 == 1024
+ * 6 -  64 == 2048
+ * 7 - 128 == 4096
+ * 8 - 256 == 8192
+ */
+static int bn_limit_bits = 0;
+static int bn_limit_num = 8;    /* (1<<bn_limit_bits) */
+static int bn_limit_bits_low = 0;
+static int bn_limit_num_low = 8; /* (1<<bn_limit_bits_low) */
+static int bn_limit_bits_high = 0;
+static int bn_limit_num_high = 8; /* (1<<bn_limit_bits_high) */
+static int bn_limit_bits_mont = 0;
+static int bn_limit_num_mont = 8; /* (1<<bn_limit_bits_mont) */
+
+void BN_set_params(int mult, int high, int low, int mont)
+{
+    if (mult >= 0) {
+        if (mult > (int)(sizeof(int) * 8) - 1)
+            mult = sizeof(int) * 8 - 1;
+        bn_limit_bits = mult;
+        bn_limit_num = 1 << mult;
+    }
+    if (high >= 0) {
+        if (high > (int)(sizeof(int) * 8) - 1)
+            high = sizeof(int) * 8 - 1;
+        bn_limit_bits_high = high;
+        bn_limit_num_high = 1 << high;
+    }
+    if (low >= 0) {
+        if (low > (int)(sizeof(int) * 8) - 1)
+            low = sizeof(int) * 8 - 1;
+        bn_limit_bits_low = low;
+        bn_limit_num_low = 1 << low;
+    }
+    if (mont >= 0) {
+        if (mont > (int)(sizeof(int) * 8) - 1)
+            mont = sizeof(int) * 8 - 1;
+        bn_limit_bits_mont = mont;
+        bn_limit_num_mont = 1 << mont;
+    }
+}
+
+int BN_get_params(int which)
+{
+    if (which == 0)
+        return bn_limit_bits;
+    else if (which == 1)
+        return bn_limit_bits_high;
+    else if (which == 2)
+        return bn_limit_bits_low;
+    else if (which == 3)
+        return bn_limit_bits_mont;
+    else
+        return 0;
+}
+#endif
+
+const BIGNUM *BN_value_one(void)
+{
+    static const BN_ULONG data_one = 1L;
+    static const BIGNUM const_one =
+        { (BN_ULONG *)&data_one, 1, 1, 0, BN_FLG_STATIC_DATA };
+
+    return &const_one;
+}
+
+/*
+ * Old Visual Studio ARM compiler miscompiles BN_num_bits_word()
+ * https://mta.openssl.org/pipermail/openssl-users/2018-August/008465.html
+ */
+#if defined(_MSC_VER) && defined(_ARM_) && defined(_WIN32_WCE) \
+    && _MSC_VER>=1400 && _MSC_VER<1501
+# define MS_BROKEN_BN_num_bits_word
+# pragma optimize("", off)
+#endif
+int BN_num_bits_word(BN_ULONG l)
+{
+    BN_ULONG x, mask;
+    int bits = (l != 0);
+
+#if BN_BITS2 > 32
+    x = l >> 32;
+    mask = (0 - x) & BN_MASK2;
+    mask = (0 - (mask >> (BN_BITS2 - 1)));
+    bits += 32 & mask;
+    l ^= (x ^ l) & mask;
+#endif
+
+    x = l >> 16;
+    mask = (0 - x) & BN_MASK2;
+    mask = (0 - (mask >> (BN_BITS2 - 1)));
+    bits += 16 & mask;
+    l ^= (x ^ l) & mask;
+
+    x = l >> 8;
+    mask = (0 - x) & BN_MASK2;
+    mask = (0 - (mask >> (BN_BITS2 - 1)));
+    bits += 8 & mask;
+    l ^= (x ^ l) & mask;
+
+    x = l >> 4;
+    mask = (0 - x) & BN_MASK2;
+    mask = (0 - (mask >> (BN_BITS2 - 1)));
+    bits += 4 & mask;
+    l ^= (x ^ l) & mask;
+
+    x = l >> 2;
+    mask = (0 - x) & BN_MASK2;
+    mask = (0 - (mask >> (BN_BITS2 - 1)));
+    bits += 2 & mask;
+    l ^= (x ^ l) & mask;
+
+    x = l >> 1;
+    mask = (0 - x) & BN_MASK2;
+    mask = (0 - (mask >> (BN_BITS2 - 1)));
+    bits += 1 & mask;
+
+    return bits;
+}
+#ifdef MS_BROKEN_BN_num_bits_word
+# pragma optimize("", on)
+#endif
+
+/*
+ * This function still leaks `a->dmax`: it's caller's responsibility to
+ * expand the input `a` in advance to a public length.
+ */
+static ossl_inline
+int bn_num_bits_consttime(const BIGNUM *a)
+{
+    int j, ret;
+    unsigned int mask, past_i;
+    int i = a->top - 1;
+    bn_check_top(a);
+
+    for (j = 0, past_i = 0, ret = 0; j < a->dmax; j++) {
+        mask = constant_time_eq_int(i, j); /* 0xff..ff if i==j, 0x0 otherwise */
+
+        ret += BN_BITS2 & (~mask & ~past_i);
+        ret += BN_num_bits_word(a->d[j]) & mask;
+
+        past_i |= mask; /* past_i will become 0xff..ff after i==j */
+    }
+
+    /*
+     * if BN_is_zero(a) => i is -1 and ret contains garbage, so we mask the
+     * final result.
+     */
+    mask = ~(constant_time_eq_int(i, ((int)-1)));
+
+    return ret & mask;
+}
+
+int BN_num_bits(const BIGNUM *a)
+{
+    int i = a->top - 1;
+    bn_check_top(a);
+
+    if (a->flags & BN_FLG_CONSTTIME) {
+        /*
+         * We assume that BIGNUMs flagged as CONSTTIME have also been expanded
+         * so that a->dmax is not leaking secret information.
+         *
+         * In other words, it's the caller's responsibility to ensure `a` has
+         * been preallocated in advance to a public length if we hit this
+         * branch.
+         *
+         */
+        return bn_num_bits_consttime(a);
+    }
+
+    if (BN_is_zero(a))
+        return 0;
+
+    return ((i * BN_BITS2) + BN_num_bits_word(a->d[i]));
+}
+
+static void bn_free_d(BIGNUM *a, int clear)
+{
+    if (BN_get_flags(a, BN_FLG_SECURE))
+        OPENSSL_secure_clear_free(a->d, a->dmax * sizeof(a->d[0]));
+    else if (clear != 0)
+        OPENSSL_clear_free(a->d, a->dmax * sizeof(a->d[0]));
+    else
+        OPENSSL_free(a->d);
+}
+
+
+void BN_clear_free(BIGNUM *a)
+{
+    if (a == NULL)
+        return;
+    if (a->d != NULL && !BN_get_flags(a, BN_FLG_STATIC_DATA))
+        bn_free_d(a, 1);
+    if (BN_get_flags(a, BN_FLG_MALLOCED)) {
+        OPENSSL_cleanse(a, sizeof(*a));
+        OPENSSL_free(a);
+    }
+}
+
+void BN_free(BIGNUM *a)
+{
+    if (a == NULL)
+        return;
+    if (!BN_get_flags(a, BN_FLG_STATIC_DATA))
+        bn_free_d(a, 0);
+    if (a->flags & BN_FLG_MALLOCED)
+        OPENSSL_free(a);
+}
+
+void bn_init(BIGNUM *a)
+{
+    static BIGNUM nilbn;
+
+    *a = nilbn;
+    bn_check_top(a);
+}
+
+BIGNUM *BN_new(void)
+{
+    BIGNUM *ret;
+
+    if ((ret = OPENSSL_zalloc(sizeof(*ret))) == NULL) {
+        BNerr(BN_F_BN_NEW, ERR_R_MALLOC_FAILURE);
+        return NULL;
+    }
+    ret->flags = BN_FLG_MALLOCED;
+    bn_check_top(ret);
+    return ret;
+}
+
+ BIGNUM *BN_secure_new(void)
+ {
+     BIGNUM *ret = BN_new();
+     if (ret != NULL)
+         ret->flags |= BN_FLG_SECURE;
+     return ret;
+ }
+
+/* This is used by bn_expand2() */
+/* The caller MUST check that words > b->dmax before calling this */
+static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words)
+{
+    BN_ULONG *a = NULL;
+
+    if (words > (INT_MAX / (4 * BN_BITS2))) {
+        BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_BIGNUM_TOO_LONG);
+        return NULL;
+    }
+    if (BN_get_flags(b, BN_FLG_STATIC_DATA)) {
+        BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
+        return NULL;
+    }
+    if (BN_get_flags(b, BN_FLG_SECURE))
+        a = OPENSSL_secure_zalloc(words * sizeof(*a));
+    else
+        a = OPENSSL_zalloc(words * sizeof(*a));
+    if (a == NULL) {
+        BNerr(BN_F_BN_EXPAND_INTERNAL, ERR_R_MALLOC_FAILURE);
+        return NULL;
+    }
+
+    assert(b->top <= words);
+    if (b->top > 0)
+        memcpy(a, b->d, sizeof(*a) * b->top);
+
+    return a;
+}
+
+/*
+ * This is an internal function that should not be used in applications. It
+ * ensures that 'b' has enough room for a 'words' word number and initialises
+ * any unused part of b->d with leading zeros. It is mostly used by the
+ * various BIGNUM routines. If there is an error, NULL is returned. If not,
+ * 'b' is returned.
+ */
+
+BIGNUM *bn_expand2(BIGNUM *b, int words)
+{
+    if (words > b->dmax) {
+        BN_ULONG *a = bn_expand_internal(b, words);
+        if (!a)
+            return NULL;
+        if (b->d != NULL)
+            bn_free_d(b, 1);
+        b->d = a;
+        b->dmax = words;
+    }
+
+    return b;
+}
+
+BIGNUM *BN_dup(const BIGNUM *a)
+{
+    BIGNUM *t;
+
+    if (a == NULL)
+        return NULL;
+    bn_check_top(a);
+
+    t = BN_get_flags(a, BN_FLG_SECURE) ? BN_secure_new() : BN_new();
+    if (t == NULL)
+        return NULL;
+    if (!BN_copy(t, a)) {
+        BN_free(t);
+        return NULL;
+    }
+    bn_check_top(t);
+    return t;
+}
+
+BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
+{
+    int bn_words;
+
+    bn_check_top(b);
+
+    bn_words = BN_get_flags(b, BN_FLG_CONSTTIME) ? b->dmax : b->top;
+
+    if (a == b)
+        return a;
+    if (bn_wexpand(a, bn_words) == NULL)
+        return NULL;
+
+    if (b->top > 0)
+        memcpy(a->d, b->d, sizeof(b->d[0]) * bn_words);
+
+    a->neg = b->neg;
+    a->top = b->top;
+    a->flags |= b->flags & BN_FLG_FIXED_TOP;
+    bn_check_top(a);
+    return a;
+}
+
+#define FLAGS_DATA(flags) ((flags) & (BN_FLG_STATIC_DATA \
+                                    | BN_FLG_CONSTTIME   \
+                                    | BN_FLG_SECURE      \
+                                    | BN_FLG_FIXED_TOP))
+#define FLAGS_STRUCT(flags) ((flags) & (BN_FLG_MALLOCED))
+
+void BN_swap(BIGNUM *a, BIGNUM *b)
+{
+    int flags_old_a, flags_old_b;
+    BN_ULONG *tmp_d;
+    int tmp_top, tmp_dmax, tmp_neg;
+
+    bn_check_top(a);
+    bn_check_top(b);
+
+    flags_old_a = a->flags;
+    flags_old_b = b->flags;
+
+    tmp_d = a->d;
+    tmp_top = a->top;
+    tmp_dmax = a->dmax;
+    tmp_neg = a->neg;
+
+    a->d = b->d;
+    a->top = b->top;
+    a->dmax = b->dmax;
+    a->neg = b->neg;
+
+    b->d = tmp_d;
+    b->top = tmp_top;
+    b->dmax = tmp_dmax;
+    b->neg = tmp_neg;
+
+    a->flags = FLAGS_STRUCT(flags_old_a) | FLAGS_DATA(flags_old_b);
+    b->flags = FLAGS_STRUCT(flags_old_b) | FLAGS_DATA(flags_old_a);
+    bn_check_top(a);
+    bn_check_top(b);
+}
+
+void BN_clear(BIGNUM *a)
+{
+    if (a == NULL)
+        return;
+    bn_check_top(a);
+    if (a->d != NULL)
+        OPENSSL_cleanse(a->d, sizeof(*a->d) * a->dmax);
+    a->neg = 0;
+    a->top = 0;
+    a->flags &= ~BN_FLG_FIXED_TOP;
+}
+
+BN_ULONG BN_get_word(const BIGNUM *a)
+{
+    if (a->top > 1)
+        return BN_MASK2;
+    else if (a->top == 1)
+        return a->d[0];
+    /* a->top == 0 */
+    return 0;
+}
+
+int BN_set_word(BIGNUM *a, BN_ULONG w)
+{
+    bn_check_top(a);
+    if (bn_expand(a, (int)sizeof(BN_ULONG) * 8) == NULL)
+        return 0;
+    a->neg = 0;
+    a->d[0] = w;
+    a->top = (w ? 1 : 0);
+    a->flags &= ~BN_FLG_FIXED_TOP;
+    bn_check_top(a);
+    return 1;
+}
+
+BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
+{
+    unsigned int i, m;
+    unsigned int n;
+    BN_ULONG l;
+    BIGNUM *bn = NULL;
+
+    if (ret == NULL)
+        ret = bn = BN_new();
+    if (ret == NULL)
+        return NULL;
+    bn_check_top(ret);
+    /* Skip leading zero's. */
+    for ( ; len > 0 && *s == 0; s++, len--)
+        continue;
+    n = len;
+    if (n == 0) {
+        ret->top = 0;
+        return ret;
+    }
+    i = ((n - 1) / BN_BYTES) + 1;
+    m = ((n - 1) % (BN_BYTES));
+    if (bn_wexpand(ret, (int)i) == NULL) {
+        BN_free(bn);
+        return NULL;
+    }
+    ret->top = i;
+    ret->neg = 0;
+    l = 0;
+    while (n--) {
+        l = (l << 8L) | *(s++);
+        if (m-- == 0) {
+            ret->d[--i] = l;
+            l = 0;
+            m = BN_BYTES - 1;
+        }
+    }
+    /*
+     * need to call this due to clear byte at top if avoiding having the top
+     * bit set (-ve number)
+     */
+    bn_correct_top(ret);
+    return ret;
+}
+
+typedef enum {big, little} endianess_t;
+
+/* ignore negative */
+static
+int bn2binpad(const BIGNUM *a, unsigned char *to, int tolen, endianess_t endianess)
+{
+    int n;
+    size_t i, lasti, j, atop, mask;
+    BN_ULONG l;
+
+    /*
+     * In case |a| is fixed-top, BN_num_bytes can return bogus length,
+     * but it's assumed that fixed-top inputs ought to be "nominated"
+     * even for padded output, so it works out...
+     */
+    n = BN_num_bytes(a);
+    if (tolen == -1) {
+        tolen = n;
+    } else if (tolen < n) {     /* uncommon/unlike case */
+        BIGNUM temp = *a;
+
+        bn_correct_top(&temp);
+        n = BN_num_bytes(&temp);
+        if (tolen < n)
+            return -1;
+    }
+
+    /* Swipe through whole available data and don't give away padded zero. */
+    atop = a->dmax * BN_BYTES;
+    if (atop == 0) {
+        OPENSSL_cleanse(to, tolen);
+        return tolen;
+    }
+
+    lasti = atop - 1;
+    atop = a->top * BN_BYTES;
+    if (endianess == big)
+        to += tolen; /* start from the end of the buffer */
+    for (i = 0, j = 0; j < (size_t)tolen; j++) {
+        unsigned char val;
+        l = a->d[i / BN_BYTES];
+        mask = 0 - ((j - atop) >> (8 * sizeof(i) - 1));
+        val = (unsigned char)(l >> (8 * (i % BN_BYTES)) & mask);
+        if (endianess == big)
+            *--to = val;
+        else
+            *to++ = val;
+        i += (i - lasti) >> (8 * sizeof(i) - 1); /* stay on last limb */
+    }
+
+    return tolen;
+}
+
+int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen)
+{
+    if (tolen < 0)
+        return -1;
+    return bn2binpad(a, to, tolen, big);
+}
+
+int BN_bn2bin(const BIGNUM *a, unsigned char *to)
+{
+    return bn2binpad(a, to, -1, big);
+}
+
+BIGNUM *BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret)
+{
+    unsigned int i, m;
+    unsigned int n;
+    BN_ULONG l;
+    BIGNUM *bn = NULL;
+
+    if (ret == NULL)
+        ret = bn = BN_new();
+    if (ret == NULL)
+        return NULL;
+    bn_check_top(ret);
+    s += len;
+    /* Skip trailing zeroes. */
+    for ( ; len > 0 && s[-1] == 0; s--, len--)
+        continue;
+    n = len;
+    if (n == 0) {
+        ret->top = 0;
+        return ret;
+    }
+    i = ((n - 1) / BN_BYTES) + 1;
+    m = ((n - 1) % (BN_BYTES));
+    if (bn_wexpand(ret, (int)i) == NULL) {
+        BN_free(bn);
+        return NULL;
+    }
+    ret->top = i;
+    ret->neg = 0;
+    l = 0;
+    while (n--) {
+        s--;
+        l = (l << 8L) | *s;
+        if (m-- == 0) {
+            ret->d[--i] = l;
+            l = 0;
+            m = BN_BYTES - 1;
+        }
+    }
+    /*
+     * need to call this due to clear byte at top if avoiding having the top
+     * bit set (-ve number)
+     */
+    bn_correct_top(ret);
+    return ret;
+}
+
+int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen)
+{
+    if (tolen < 0)
+        return -1;
+    return bn2binpad(a, to, tolen, little);
+}
+
+int BN_ucmp(const BIGNUM *a, const BIGNUM *b)
+{
+    int i;
+    BN_ULONG t1, t2, *ap, *bp;
+
+    bn_check_top(a);
+    bn_check_top(b);
+
+    i = a->top - b->top;
+    if (i != 0)
+        return i;
+    ap = a->d;
+    bp = b->d;
+    for (i = a->top - 1; i >= 0; i--) {
+        t1 = ap[i];
+        t2 = bp[i];
+        if (t1 != t2)
+            return ((t1 > t2) ? 1 : -1);
+    }
+    return 0;
+}
+
+int BN_cmp(const BIGNUM *a, const BIGNUM *b)
+{
+    int i;
+    int gt, lt;
+    BN_ULONG t1, t2;
+
+    if ((a == NULL) || (b == NULL)) {
+        if (a != NULL)
+            return -1;
+        else if (b != NULL)
+            return 1;
+        else
+            return 0;
+    }
+
+    bn_check_top(a);
+    bn_check_top(b);
+
+    if (a->neg != b->neg) {
+        if (a->neg)
+            return -1;
+        else
+            return 1;
+    }
+    if (a->neg == 0) {
+        gt = 1;
+        lt = -1;
+    } else {
+        gt = -1;
+        lt = 1;
+    }
+
+    if (a->top > b->top)
+        return gt;
+    if (a->top < b->top)
+        return lt;
+    for (i = a->top - 1; i >= 0; i--) {
+        t1 = a->d[i];
+        t2 = b->d[i];
+        if (t1 > t2)
+            return gt;
+        if (t1 < t2)
+            return lt;
+    }
+    return 0;
+}
+
+int BN_set_bit(BIGNUM *a, int n)
+{
+    int i, j, k;
+
+    if (n < 0)
+        return 0;
+
+    i = n / BN_BITS2;
+    j = n % BN_BITS2;
+    if (a->top <= i) {
+        if (bn_wexpand(a, i + 1) == NULL)
+            return 0;
+        for (k = a->top; k < i + 1; k++)
+            a->d[k] = 0;
+        a->top = i + 1;
+        a->flags &= ~BN_FLG_FIXED_TOP;
+    }
+
+    a->d[i] |= (((BN_ULONG)1) << j);
+    bn_check_top(a);
+    return 1;
+}
+
+int BN_clear_bit(BIGNUM *a, int n)
+{
+    int i, j;
+
+    bn_check_top(a);
+    if (n < 0)
+        return 0;
+
+    i = n / BN_BITS2;
+    j = n % BN_BITS2;
+    if (a->top <= i)
+        return 0;
+
+    a->d[i] &= (~(((BN_ULONG)1) << j));
+    bn_correct_top(a);
+    return 1;
+}
+
+int BN_is_bit_set(const BIGNUM *a, int n)
+{
+    int i, j;
+
+    bn_check_top(a);
+    if (n < 0)
+        return 0;
+    i = n / BN_BITS2;
+    j = n % BN_BITS2;
+    if (a->top <= i)
+        return 0;
+    return (int)(((a->d[i]) >> j) & ((BN_ULONG)1));
+}
+
+int BN_mask_bits(BIGNUM *a, int n)
+{
+    int b, w;
+
+    bn_check_top(a);
+    if (n < 0)
+        return 0;
+
+    w = n / BN_BITS2;
+    b = n % BN_BITS2;
+    if (w >= a->top)
+        return 0;
+    if (b == 0)
+        a->top = w;
+    else {
+        a->top = w + 1;
+        a->d[w] &= ~(BN_MASK2 << b);
+    }
+    bn_correct_top(a);
+    return 1;
+}
+
+void BN_set_negative(BIGNUM *a, int b)
+{
+    if (b && !BN_is_zero(a))
+        a->neg = 1;
+    else
+        a->neg = 0;
+}
+
+int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
+{
+    int i;
+    BN_ULONG aa, bb;
+
+    if (n == 0)
+        return 0;
+
+    aa = a[n - 1];
+    bb = b[n - 1];
+    if (aa != bb)
+        return ((aa > bb) ? 1 : -1);
+    for (i = n - 2; i >= 0; i--) {
+        aa = a[i];
+        bb = b[i];
+        if (aa != bb)
+            return ((aa > bb) ? 1 : -1);
+    }
+    return 0;
+}
+
+/*
+ * Here follows a specialised variants of bn_cmp_words().  It has the
+ * capability of performing the operation on arrays of different sizes. The
+ * sizes of those arrays is expressed through cl, which is the common length
+ * ( basically, min(len(a),len(b)) ), and dl, which is the delta between the
+ * two lengths, calculated as len(a)-len(b). All lengths are the number of
+ * BN_ULONGs...
+ */
+
+int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl)
+{
+    int n, i;
+    n = cl - 1;
+
+    if (dl < 0) {
+        for (i = dl; i < 0; i++) {
+            if (b[n - i] != 0)
+                return -1;      /* a < b */
+        }
+    }
+    if (dl > 0) {
+        for (i = dl; i > 0; i--) {
+            if (a[n + i] != 0)
+                return 1;       /* a > b */
+        }
+    }
+    return bn_cmp_words(a, b, cl);
+}
+
+/*-
+ * Constant-time conditional swap of a and b.
+ * a and b are swapped if condition is not 0.
+ * nwords is the number of words to swap.
+ * Assumes that at least nwords are allocated in both a and b.
+ * Assumes that no more than nwords are used by either a or b.
+ */
+void BN_consttime_swap(BN_ULONG condition, BIGNUM *a, BIGNUM *b, int nwords)
+{
+    BN_ULONG t;
+    int i;
+
+    if (a == b)
+        return;
+
+    bn_wcheck_size(a, nwords);
+    bn_wcheck_size(b, nwords);
+
+    condition = ((~condition & ((condition - 1))) >> (BN_BITS2 - 1)) - 1;
+
+    t = (a->top ^ b->top) & condition;
+    a->top ^= t;
+    b->top ^= t;
+
+    t = (a->neg ^ b->neg) & condition;
+    a->neg ^= t;
+    b->neg ^= t;
+
+    /*-
+     * BN_FLG_STATIC_DATA: indicates that data may not be written to. Intention
+     * is actually to treat it as it's read-only data, and some (if not most)
+     * of it does reside in read-only segment. In other words observation of
+     * BN_FLG_STATIC_DATA in BN_consttime_swap should be treated as fatal
+     * condition. It would either cause SEGV or effectively cause data
+     * corruption.
+     *
+     * BN_FLG_MALLOCED: refers to BN structure itself, and hence must be
+     * preserved.
+     *
+     * BN_FLG_SECURE: must be preserved, because it determines how x->d was
+     * allocated and hence how to free it.
+     *
+     * BN_FLG_CONSTTIME: sufficient to mask and swap
+     *
+     * BN_FLG_FIXED_TOP: indicates that we haven't called bn_correct_top() on
+     * the data, so the d array may be padded with additional 0 values (i.e.
+     * top could be greater than the minimal value that it could be). We should
+     * be swapping it
+     */
+
+#define BN_CONSTTIME_SWAP_FLAGS (BN_FLG_CONSTTIME | BN_FLG_FIXED_TOP)
+
+    t = ((a->flags ^ b->flags) & BN_CONSTTIME_SWAP_FLAGS) & condition;
+    a->flags ^= t;
+    b->flags ^= t;
+
+    /* conditionally swap the data */
+    for (i = 0; i < nwords; i++) {
+        t = (a->d[i] ^ b->d[i]) & condition;
+        a->d[i] ^= t;
+        b->d[i] ^= t;
+    }
+}
+
+#undef BN_CONSTTIME_SWAP_FLAGS
+
+/* Bits of security, see SP800-57 */
+
+int BN_security_bits(int L, int N)
+{
+    int secbits, bits;
+    if (L >= 15360)
+        secbits = 256;
+    else if (L >= 7680)
+        secbits = 192;
+    else if (L >= 3072)
+        secbits = 128;
+    else if (L >= 2048)
+        secbits = 112;
+    else if (L >= 1024)
+        secbits = 80;
+    else
+        return 0;
+    if (N == -1)
+        return secbits;
+    bits = N / 2;
+    if (bits < 80)
+        return 0;
+    return bits >= secbits ? secbits : bits;
+}
+
+void BN_zero_ex(BIGNUM *a)
+{
+    a->neg = 0;
+    a->top = 0;
+    a->flags &= ~BN_FLG_FIXED_TOP;
+}
+
+int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w)
+{
+    return ((a->top == 1) && (a->d[0] == w)) || ((w == 0) && (a->top == 0));
+}
+
+int BN_is_zero(const BIGNUM *a)
+{
+    return a->top == 0;
+}
+
+int BN_is_one(const BIGNUM *a)
+{
+    return BN_abs_is_word(a, 1) && !a->neg;
+}
+
+int BN_is_word(const BIGNUM *a, const BN_ULONG w)
+{
+    return BN_abs_is_word(a, w) && (!w || !a->neg);
+}
+
+int BN_is_odd(const BIGNUM *a)
+{
+    return (a->top > 0) && (a->d[0] & 1);
+}
+
+int BN_is_negative(const BIGNUM *a)
+{
+    return (a->neg != 0);
+}
+
+int BN_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
+                     BN_CTX *ctx)
+{
+    return BN_mod_mul_montgomery(r, a, &(mont->RR), mont, ctx);
+}
+
+void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int flags)
+{
+    dest->d = b->d;
+    dest->top = b->top;
+    dest->dmax = b->dmax;
+    dest->neg = b->neg;
+    dest->flags = ((dest->flags & BN_FLG_MALLOCED)
+                   | (b->flags & ~BN_FLG_MALLOCED)
+                   | BN_FLG_STATIC_DATA | flags);
+}
+
+BN_GENCB *BN_GENCB_new(void)
+{
+    BN_GENCB *ret;
+
+    if ((ret = OPENSSL_malloc(sizeof(*ret))) == NULL) {
+        BNerr(BN_F_BN_GENCB_NEW, ERR_R_MALLOC_FAILURE);
+        return NULL;
+    }
+
+    return ret;
+}
+
+void BN_GENCB_free(BN_GENCB *cb)
+{
+    if (cb == NULL)
+        return;
+    OPENSSL_free(cb);
+}
+
+void BN_set_flags(BIGNUM *b, int n)
+{
+    b->flags |= n;
+}
+
+int BN_get_flags(const BIGNUM *b, int n)
+{
+    return b->flags & n;
+}
+
+/* Populate a BN_GENCB structure with an "old"-style callback */
+void BN_GENCB_set_old(BN_GENCB *gencb, void (*callback) (int, int, void *),
+                      void *cb_arg)
+{
+    BN_GENCB *tmp_gencb = gencb;
+    tmp_gencb->ver = 1;
+    tmp_gencb->arg = cb_arg;
+    tmp_gencb->cb.cb_1 = callback;
+}
+
+/* Populate a BN_GENCB structure with a "new"-style callback */
+void BN_GENCB_set(BN_GENCB *gencb, int (*callback) (int, int, BN_GENCB *),
+                  void *cb_arg)
+{
+    BN_GENCB *tmp_gencb = gencb;
+    tmp_gencb->ver = 2;
+    tmp_gencb->arg = cb_arg;
+    tmp_gencb->cb.cb_2 = callback;
+}
+
+void *BN_GENCB_get_arg(BN_GENCB *cb)
+{
+    return cb->arg;
+}
+
+BIGNUM *bn_wexpand(BIGNUM *a, int words)
+{
+    return (words <= a->dmax) ? a : bn_expand2(a, words);
+}
+
+void bn_correct_top(BIGNUM *a)
+{
+    BN_ULONG *ftl;
+    int tmp_top = a->top;
+
+    if (tmp_top > 0) {
+        for (ftl = &(a->d[tmp_top]); tmp_top > 0; tmp_top--) {
+            ftl--;
+            if (*ftl != 0)
+                break;
+        }
+        a->top = tmp_top;
+    }
+    if (a->top == 0)
+        a->neg = 0;
+    a->flags &= ~BN_FLG_FIXED_TOP;
+    bn_pollute(a);
+}