📄 bn.h
字号:
/*
* 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 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.
*
* $Id: bn.h,v 1.7 1997/12/11 23:11:57 lloyd Exp $
*/
#ifndef Included_bn_h
#define Included_bn_h
#include "pgpBase.h"
#include "pgpMemoryMgr.h"
PGP_BEGIN_C_DECLARATIONS
struct BigNum
{
void *ptr;
unsigned size; /* Note: in (variable-sized) words */
unsigned allocated;
PGPMemoryMgrRef mgr;
PGPBoolean isSecure;
} ;
#include "pgpBigNumOpaqueStructs.h"
/*
* User-supplied function: if non-NULL, this is called during long-running
* computations. You may put Yield() calls in here to give CPU time to
* other processes. You may also force the computation to be aborted,
* by returning a value < 0, which will be the return value of the
* bnXXX call. (You probably want the value to be someting other than
* -1, to distinguish it from an out-of-memory error.)
*
* The functions that this is called from, and the intervals at which it
* is called, are not well defined, just "reasonably often". (Currently,
* once per exponent bit in modular exponentiation, and once per two
* divisions in GCD and inverse computation.)
*/
extern int (*bnYield)(void);
/* 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 not been called.
*/
void bnInit(void);
/*
* This initializes an empty BigNum to a zero value.
* Do not use this on a BigNum which has had a value stored in it!
*/
void bnBegin(BigNum *bn, PGPMemoryMgrRef mgr, PGPBoolean isSecure );
/* Swap two BigNums. Cheap. */
void bnSwap(BigNum *a, BigNum *b);
/* Reset an initialized bigNum to empty, pending deallocation. */
extern void (*bnEnd)(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)(BigNum *bn, unsigned bits);
/* Hopefully obvious. dest = src. dest may be the same as src. */
extern int (*bnCopy)(BigNum *dest, 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)(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)(BigNum const *bn,
unsigned char *dest, unsigned lsbyte, unsigned len);
extern int (*bnInsertBigBytes)(BigNum *bn,
unsigned char const *src, unsigned lsbyte, unsigned len);
/* The same, but the buffer is little-endian. */
extern void (*bnExtractLittleBytes)(BigNum const *bn,
unsigned char *dest, unsigned lsbyte, unsigned len);
extern int (*bnInsertLittleBytes)(BigNum *bn,
unsigned char const *src, unsigned lsbyte, unsigned len);
/* Return the least-significant bits (at least 16) of the BigNum */
extern unsigned (*bnLSWord)(BigNum const *src);
/*
* Return the number of significant bits in the BigNum.
* 0 or 1+floor(log2(src))
*/
extern unsigned (*bnBits)(BigNum const *src);
#define bnBytes(bn) ((bnBits(bn)+7)/8)
/*
* 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)(BigNum *dest, 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)(BigNum *dest, BigNum const *src);
/* Return sign (-1, 0, +1) of a-b. a <=> b --> bnCmpQ(a, b) <=> 0 */
extern int (*bnCmpQ)(BigNum const *a, unsigned b);
/* dest = src, where 0 <= src < 2^16. */
extern int (*bnSetQ)(BigNum *dest, unsigned src);
/* dest += src, where 0 <= src < 2^16 */
extern int (*bnAddQ)(BigNum *dest, unsigned src);
/* dest -= src, where 0 <= src < 2^16 */
extern int (*bnSubQ)(BigNum *dest, unsigned src);
/* Return sign (-1, 0, +1) of a-b. a <=> b --> bnCmp(a, b) <=> 0 */
extern int (*bnCmp)(BigNum const *a, BigNum const *b);
/* dest = src^2. dest may be the same as src, but it costs time. */
extern int (*bnSquare)(BigNum *dest,
BigNum const *src);
/* dest = a * b. dest may be the same as a or b, but it costs time. */
extern int (*bnMul)(BigNum *dest, BigNum const *a,
BigNum const *b);
/* dest = a * b, where 0 <= b < 2^16. dest and a may be the same. */
extern int (*bnMulQ)(BigNum *dest, 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)(BigNum *q, BigNum *r,
BigNum const *n, 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)(BigNum *dest, BigNum const *src,
BigNum const *d);
/* return src % d, where 0 <= d < 2^16. */
extern unsigned int (*bnModQ)(BigNum const *src, unsigned d);
/* n = n^exp, modulo "mod" "mod" *must* be odd */
extern int (*bnExpMod)(BigNum *result, BigNum const *n,
BigNum const *exp, 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)(BigNum *dest,
BigNum const *n1, BigNum const *e1,
BigNum const *n2, BigNum const *e2,
BigNum const *mod);
/* n = 2^exp, modulo "mod" "mod" *must* be odd */
extern int (*bnTwoExpMod)(BigNum *n, BigNum const *exp,
BigNum const *mod);
/* dest = gcd(a, b). The inputs may overlap arbitrarily. */
extern int (*bnGcd)(BigNum *dest, BigNum const *a,
BigNum const *b);
/* dest = src^-1, modulo "mod". dest may be the same as src. */
extern int (*bnInv)(BigNum *dest, BigNum const *src,
BigNum const *mod);
/* Shift dest left "amt" places */
extern int (*bnLShift)(BigNum *dest, unsigned amt);
/* Shift dest right "amt" places, discarding low-order bits */
extern void (*bnRShift)(BigNum *dest, unsigned amt);
/* For the largest 2^k that divides n, divide n by it and return k. */
extern unsigned (*bnMakeOdd)(BigNum *n);
PGP_END_C_DECLARATIONS
#endif/* !Included_bn_h */
⌨️ 快捷键说明
复制代码
Ctrl + C
搜索代码
Ctrl + F
全屏模式
F11
切换主题
Ctrl + Shift + D
显示快捷键
?
增大字号
Ctrl + =
减小字号
Ctrl + -