/* * Copyright (c) 1999 by Sun Microsystems, Inc. * All rights reserved. */ /* * Cylink Corporation © 1998 * * This software is licensed by Cylink to the Internet Software Consortium to * promote implementation of royalty free public key cryptography within IETF * standards. Cylink wishes to expressly thank the contributions of Dr. * Martin Hellman, Whitfield Diffie, Ralph Merkle and Stanford University for * their contributions to Internet Security. In accordance with the terms of * this license, ISC is authorized to distribute and sublicense this software * for the practice of IETF standards. * * The software includes BigNum, written by Colin Plumb and licensed by Philip * R. Zimmermann for royalty free use and distribution with Cylink's * software. Use of BigNum as a stand alone product or component is * specifically prohibited. * * Disclaimer of All Warranties. THIS SOFTWARE IS BEING PROVIDED "AS IS", * WITHOUT ANY EXPRESSED OR IMPLIED WARRANTY OF ANY KIND WHATSOEVER. IN * PARTICULAR, WITHOUT LIMITATION ON THE GENERALITY OF THE FOREGOING, CYLINK * MAKES NO REPRESENTATION OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR * PURPOSE. * * Cylink or its representatives shall not be liable for tort, indirect, * special or consequential damages such as loss of profits or loss of * goodwill from the use or inability to use the software for any purpose or * for any reason whatsoever. * * EXPORT LAW: Export of the Foundations Suite may be subject to compliance * with the rules and regulations promulgated from time to time by the Bureau * of Export Administration, United States Department of Commerce, which * restrict the export and re-export of certain products and technical data. * If the export of the Foundations Suite is controlled under such rules and * regulations, then the Foundations Suite shall not be exported or * re-exported, directly or indirectly, (a) without all export or re-export * licenses and governmental approvals required by any applicable laws, or (b) * in violation of any applicable prohibition against the export or re-export * of any part of the Foundations Suite. All export licenses for software * containing the Foundations Suite are the sole responsibility of the licensee. */ /* * bn.h - the interface to the bignum routines. * All functions which return ints can potentially allocate memory * and return -1 if they are unable to. All "const" arguments * are unmodified. * * This is not particularly asymmetric, as some operations are of the * form a = b @ c, while others do a @= b. In general, outputs may not * point to the same struct BigNums as inputs, except as specified * below. This relationship is referred to as "being the same as". * This is not numerical equivalence. * * The "Q" operations take "unsigned" inputs. Higher values of the * extra input may work on some implementations, but 65535 is the * highest portable value. Just because UNSIGNED_MAX is larger than * that, or you know that the word size of the library is larger than that, * that, does *not* mean it's allowed. */ #ifndef BN_H #define BN_H #pragma ident "%Z%%M% %I% %E% SMI" struct BigNum { void *ptr; unsigned size; /* Note: in (variable-sized) words */ unsigned allocated; }; /* Functions */ /* * You usually never have to call this function explicitly, as * bnBegin() takes care of it. If the program jumps to address 0, * this function has bot been called. */ void bnInit(void); /* * This initializes an empty struct BigNum to a zero value. * Do not use this on a BigNum which has had a value stored in it! */ void bnBegin(struct BigNum *bn); /* Swap two BigNums. Cheap. */ void bnSwap(struct BigNum *a, struct BigNum *b); /* Reset an initialized bigNum to empty, pending deallocation. */ extern void (*bnEnd)(struct BigNum *bn); /* * If you know you'll need space in the number soon, you can use this function * to ensure that there is room for at least "bits" bits. Optional. * Returns <0 on out of memory, but the value is unaffected. */ extern int (*bnPrealloc)(struct BigNum *bn, unsigned bits); /* Hopefully obvious. dest = src. dest may be the same as src. */ extern int (*bnCopy)(struct BigNum *dest, struct BigNum const *src); /* * Mostly done automatically, but this removes leading zero words from * the internal representation of the BigNum. Use is unclear. */ extern void (*bnNorm)(struct BigNum *bn); /* * Move bytes between the given buffer and the given BigNum encoded in * base 256. I.e. after either of these, the buffer will be equal to * (bn / 256^lsbyte) % 256^len. The difference is which is altered to * match the other! */ extern void (*bnExtractBigBytes)(struct BigNum const *bn, unsigned char *dest, unsigned lsbyte, unsigned len); extern int (*bnInsertBigBytes)(struct BigNum *bn, unsigned char const *src, unsigned lsbyte, unsigned len); /* The same, but the buffer is little-endian. */ extern void (*bnExtractLittleBytes)(struct BigNum const *bn, unsigned char *dest, unsigned lsbyte, unsigned len); extern int (*bnInsertLittleBytes)(struct BigNum *bn, unsigned char const *src, unsigned lsbyte, unsigned len); /* Return the least-significant bits (at least 16) of the BigNum */ extern unsigned (*bnLSWord)(struct BigNum const *src); /* * Return the number of significant bits in the BigNum. * 0 or 1+floor(log2(src)) */ extern unsigned (*bnBits)(struct BigNum const *src); /* * dest += src. dest and src may be the same. Guaranteed not to * allocate memory unnecessarily, so if you're sure bnBits(dest) * won't change, you don't need to check the return value. */ extern int (*bnAdd)(struct BigNum *dest, struct BigNum const *src); /* * dest -= src. dest and src may be the same, but bnSetQ(dest, 0) is faster. * if dest < src, returns +1 and sets dest = src-dest. */ extern int (*bnSub)(struct BigNum *dest, struct BigNum const *src); /* Return sign (-1, 0, +1) of a-b. a <=> b --> bnCmpQ(a, b) <=> 0 */ extern int (*bnCmpQ)(struct BigNum const *a, unsigned b); /* dest = src, where 0 <= src < 2^16. */ extern int (*bnSetQ)(struct BigNum *dest, unsigned src); /* dest += src, where 0 <= src < 2^16 */ extern int (*bnAddQ)(struct BigNum *dest, unsigned src); /* dest -= src, where 0 <= src < 2^16 */ extern int (*bnSubQ)(struct BigNum *dest, unsigned src); /* Return sign (-1, 0, +1) of a-b. a <=> b --> bnCmp(a, b) <=> 0 */ extern int (*bnCmp)(struct BigNum const *a, struct BigNum const *b); /* dest = src^2. dest may be the same as src, but it costs time. */ extern int (*bnSquare)(struct BigNum *dest, struct BigNum const *src); /* dest = a * b. dest may be the same as a or b, but it costs time. */ extern int (*bnMul)(struct BigNum *dest, struct BigNum const *a, struct BigNum const *b); /* dest = a * b, where 0 <= b < 2^16. dest and a may be the same. */ extern int (*bnMulQ)(struct BigNum *dest, struct BigNum const *a, unsigned b); /* * q = n/d, r = n%d. r may be the same as n, but not d, * and q may not be the same as n or d. * re-entrancy issue: this temporarily modifies d, but restores * it for return. */ extern int (*bnDivMod)(struct BigNum *q, struct BigNum *r, struct BigNum const *n, struct BigNum const *d); /* * dest = src % d. dest and src may be the same, but not dest and d. * re-entrancy issue: this temporarily modifies d, but restores * it for return. */ extern int (*bnMod)(struct BigNum *dest, struct BigNum const *src, struct BigNum const *d); /* return src % d, where 0 <= d < 2^16. */ extern unsigned int (*bnModQ)(struct BigNum const *src, unsigned d); /* n = n^exp, modulo "mod" "mod" *must* be odd */ extern int (*bnExpMod)(struct BigNum *result, struct BigNum const *n, struct BigNum const *exp, struct BigNum const *mod); /* * dest = n1^e1 * n2^e2, modulo "mod". "mod" *must* be odd. * dest may be the same as n1 or n2. */ extern int (*bnDoubleExpMod)(struct BigNum *dest, struct BigNum const *n1, struct BigNum const *e1, struct BigNum const *n2, struct BigNum const *e2, struct BigNum const *mod); /* n = 2^exp, modulo "mod" "mod" *must* be odd */ extern int (*bnTwoExpMod)(struct BigNum *n, struct BigNum const *exp, struct BigNum const *mod); /* dest = gcd(a, b). The inputs may overlap arbitrarily. */ extern int (*bnGcd)(struct BigNum *dest, struct BigNum const *a, struct BigNum const *b); /* dest = src^-1, modulo "mod". dest may be the same as src. */ extern int (*bnInv)(struct BigNum *dest, struct BigNum const *src, struct BigNum const *mod); /* Shift dest left "amt" places */ extern int (*bnLShift)(struct BigNum *dest, unsigned amt); /* Shift dest right "amt" places, discarding low-order bits */ extern void (*bnRShift)(struct BigNum *dest, unsigned amt); /* For the largest 2^k that divides n, divide n by it and return k. */ extern unsigned (*bnMakeOdd)(struct BigNum *n); #endif/* !BN_H */