forsyth20121205-174063a80cc13 years agoHistory
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#pragma	src	"/usr/inferno/src/libmp" #define _MPINT 1 /* the code assumes mpdigit to be at least an int *//* mpdigit must be an atomic type.  mpdigit is defined *//* in the architecture specific u.h */ typedef struct mpint mpint; struct mpint{	int	sign;	/* +1 or -1 */	int	size;	/* allocated digits */	int	top;	/* significant digits */	mpdigit	*p;	char	flags;}; enum{	MPstatic=	0x01,	Dbytes=		sizeof(mpdigit),	/* bytes per digit */	Dbits=		Dbytes*8		/* bits per digit */}; /* allocation */void	mpsetminbits(int n);	/* newly created mpint's get at least n bits */mpint*	mpnew(int n);		/* create a new mpint with at least n bits */void	mpfree(mpint *b);void	mpbits(mpint *b, int n);	/* ensure that b has at least n bits */void	mpnorm(mpint *b);		/* dump leading zeros */mpint*	mpcopy(mpint *b);void	mpassign(mpint *old, mpint *new); /* random bits */mpint*	mprand(int bits, void (*gen)(uchar*, int), mpint *b); /* conversion */mpint*	strtomp(char*, char**, int, mpint*);	/* ascii */int	mpfmt(Fmt*);char*	mptoa(mpint*, int, char*, int);mpint*	letomp(uchar*, uint, mpint*);	/* byte array, little-endian */int	mptole(mpint*, uchar*, uint, uchar**);mpint*	betomp(uchar*, uint, mpint*);	/* byte array, little-endian */int	mptobe(mpint*, uchar*, uint, uchar**);uint	mptoui(mpint*);			/* unsigned int */mpint*	uitomp(uint, mpint*);int	mptoi(mpint*);			/* int */mpint*	itomp(int, mpint*);uvlong	mptouv(mpint*);			/* unsigned vlong */mpint*	uvtomp(uvlong, mpint*);vlong	mptov(mpint*);			/* vlong */mpint*	vtomp(vlong, mpint*); /* divide 2 digits by one */void	mpdigdiv(mpdigit *dividend, mpdigit divisor, mpdigit *quotient); /* in the following, the result mpint may be *//* the same as one of the inputs. */void	mpadd(mpint *b1, mpint *b2, mpint *sum);	/* sum = b1+b2 */void	mpsub(mpint *b1, mpint *b2, mpint *diff);	/* diff = b1-b2 */void	mpleft(mpint *b, int shift, mpint *res);	/* res = b<<shift */void	mpright(mpint *b, int shift, mpint *res);	/* res = b>>shift */void	mpmul(mpint *b1, mpint *b2, mpint *prod);	/* prod = b1*b2 */void	mpexp(mpint *b, mpint *e, mpint *m, mpint *res);	/* res = b**e mod m */void	mpmod(mpint *b, mpint *m, mpint *remainder);	/* remainder = b mod m */ /* quotient = dividend/divisor, remainder = dividend % divisor */void	mpdiv(mpint *dividend, mpint *divisor,  mpint *quotient, mpint *remainder); /* return neg, 0, pos as b1-b2 is neg, 0, pos */int	mpcmp(mpint *b1, mpint *b2); /* extended gcd return d, x, and y, s.t. d = gcd(a,b) and ax+by = d */void	mpextendedgcd(mpint *a, mpint *b, mpint *d, mpint *x, mpint *y); /* res = b**-1 mod m */void	mpinvert(mpint *b, mpint *m, mpint *res); /* bit counting */int	mpsignif(mpint*);	/* number of sigificant bits in mantissa */int	mplowbits0(mpint*);	/* k, where n = 2**k * q for odd q */ /* well known constants */extern mpint	*mpzero, *mpone, *mptwo; /* sum[0:alen] = a[0:alen-1] + b[0:blen-1] *//* prereq: alen >= blen, sum has room for alen+1 digits */void	mpvecadd(mpdigit *a, int alen, mpdigit *b, int blen, mpdigit *sum); /* diff[0:alen-1] = a[0:alen-1] - b[0:blen-1] *//* prereq: alen >= blen, diff has room for alen digits */void	mpvecsub(mpdigit *a, int alen, mpdigit *b, int blen, mpdigit *diff); /* p[0:n] += m * b[0:n-1] *//* prereq: p has room for n+1 digits */void	mpvecdigmuladd(mpdigit *b, int n, mpdigit m, mpdigit *p); /* p[0:n] -= m * b[0:n-1] *//* prereq: p has room for n+1 digits */int	mpvecdigmulsub(mpdigit *b, int n, mpdigit m, mpdigit *p); /* p[0:alen*blen-1] = a[0:alen-1] * b[0:blen-1] *//* prereq: alen >= blen, p has room for m*n digits */void	mpvecmul(mpdigit *a, int alen, mpdigit *b, int blen, mpdigit *p); /* sign of a - b or zero if the same */int	mpveccmp(mpdigit *a, int alen, mpdigit *b, int blen); /* divide the 2 digit dividend by the one digit divisor and stick in quotient *//* we assume that the result is one digit - overflow is all 1's */void	mpdigdiv(mpdigit *dividend, mpdigit divisor, mpdigit *quotient); /* playing with magnitudes */int	mpmagcmp(mpint *b1, mpint *b2);void	mpmagadd(mpint *b1, mpint *b2, mpint *sum);	/* sum = b1+b2 */void	mpmagsub(mpint *b1, mpint *b2, mpint *sum);	/* sum = b1+b2 */ /* chinese remainder theorem */typedef struct CRTpre	CRTpre;		/* precomputed values for converting */					/*  twixt residues and mpint */typedef struct CRTres	CRTres;		/* residue form of an mpint */ struct CRTres{	int	n;		/* number of residues */	mpint	*r[1];		/* residues */}; CRTpre*	crtpre(int, mpint**);			/* precompute conversion values */CRTres*	crtin(CRTpre*, mpint*);			/* convert mpint to residues */void	crtout(CRTpre*, CRTres*, mpint*);	/* convert residues to mpint */void	crtprefree(CRTpre*);void	crtresfree(CRTres*);  #pragma	varargck	type	"B"	mpint*#pragma varargck	type	"U" mpint*