+ const BIGNUM *m, BN_CTX *ctx);
+int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
+ BN_RECP_CTX *recp, BN_CTX *ctx);
+
+/* library internal functions */
+
+#define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
+ (a):bn_expand2((a),(bits)/BN_BITS2+1))
+#define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
+BIGNUM *bn_expand2(BIGNUM *a, int words);
+BIGNUM *bn_dup_expand(const BIGNUM *a, int words);
+
+#define bn_fix_top(a) \
+ { \
+ BN_ULONG *ftl; \
+ if ((a)->top > 0) \
+ { \
+ for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
+ if (*(ftl--)) break; \
+ } \
+ }
+
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
+BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
+void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
+BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
+BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
+BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
+
+#ifdef BN_DEBUG
+void bn_dump1(FILE *o, const char *a, const BN_ULONG *b,int n);
+# define bn_print(a) {fprintf(stderr, #a "="); BN_print_fp(stderr,a); \
+ fprintf(stderr,"\n");}
+# define bn_dump(a,n) bn_dump1(stderr,#a,a,n);
+#else
+# define bn_print(a)
+# define bn_dump(a,b)
+#endif