Import sources from 2011-03-30 iso image - sys/include

sys/include/mp.h

@@ -0,0 +1,143 @@
+#pragma	src	"/sys/src/libmp"
+#pragma	lib	"libmp.a"
+
+#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 */
+
+#pragma incomplete CRTpre
+
+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*