liptimer.c

应用密码学这本书的源代码

		register long carry = 0;
		register long i;
		register verylong pc;
		register long agrb;

		if (!(agrb = zcompare(a, b)))
		{
			zzero(cc);
			return;
		}
		if ((agrb > 0 && anegative) || (agrb < 0 && !anegative))
		{
			pc = a;
			a = b;
			b = pc;
			sa = *a;
			sb = *b;
		}
		if (anegative)
		{
			sa = -sa;
			sb = -sb;
		}
		zsetlength(&c, sa, "in zsub, third argument");
                if (b == *cc) b = c;
		*cc = c;
		pc = &c[0];
		for (i = 1; i <= sb; i++)
		{
			if ((*(++pc) = (*(++a)) - (*(++b)) - carry) >= 0)
				carry = 0;
			else
			{
				*pc += (1L<<26);
				carry = 1;
			};
		}
		for (; i <= sa; i++)
		{
			if ((*(++pc) = (*(++a)) - carry) >= 0)
				carry = 0;
			else
			{
				*pc += (1L<<26);
				carry = 1;
			};
		}
		i = sa;
		while ((i > 1) && (!(*pc)))
		{
			i--;
			pc--;
		}
		if (agrb > 0)
			c[0] = i;
		else
			c[0] = -i;
	}
	else
	{
	/* signs a and b are different */
		verylong old;
		verylong oldc;

		oldc = c;
		if (anegative)
		{
			a[0] = -a[0];
			old = a;
		}
		else
		{
			b[0] = -b[0];
			old = b;
		}
	/* the one that's negative cannot be zero */
		zadd1(a, b, &c);
		*cc = c;
		if (anegative)
		{
			c[0] = -c[0];
			if (old != oldc)
				a[0] = -a[0];
		}
		else if (old != oldc)
			b[0] = -b[0];
	}
}



static void
zsubpos1(
        verylong a,
        verylong b,
        verylong *cc
        )
{
        register long sa = a[0];
        register long sb = b[0];
        register long carry = 0;
        register long i;
        register verylong pc;
        verylong c = *cc;

        if (ALLOCATE && !b)
        {
                if (a)
                        zcopy(a, cc);
                else
                        zzero(cc);
                return;
        }
        if (ALLOCATE && !a)
        {
                zzero(cc);
                return;
        }
        zsetlength(&c, sa, "in zsubpos, third argument");
        /* if *cc == a, then nothing will happen */
        /* if *cc == b, then b might point to freed space, so */
        if (b == *cc) b = c;
        *cc = c;
        pc = &c[0];
        for (i = 1; i <= sb; i++)
        {
                if ((*(++pc) = (*(++a)) - (*(++b)) - carry) >= 0)
                        carry = 0;
                else
                {
                        *pc += (1L<<26);
                        carry = 1;
                };
        }
        for (; i <= sa; i++)
        {
                if ((*(++pc) = (*(++a)) - carry) >= 0)
                        carry = 0;
                else
                {
                        *pc += (1L<<26);
                        carry = 1;
                };
        }
        i = sa;
        while ((i > 1) && (!(*pc)))
        {
                i--;
                pc--;
        }
        c[0] = i;
}

kar_mul1(
	verylong a,
	verylong b,
	verylong *c,
	long shi
	)
{
	register long al;
	register long hal;
	register long i;
	register long restoreb0 = b[0];
	register verylong pc;
	register long bbig = 1;
	verylong *a0;
	verylong *a1;
	verylong *a2;
	verylong *a3;
	verylong *a4;

	zsetlength(c, (hal = (al = a[0]) + (i = b[0])), "in kar_mul, third argument");
	if ((shi >= (5 * KAR_DEPTH)) || (al < K_M_C) || (i < K_M_C))
	{
		pc = &(*c)[1];
		for (i = hal; i > 0; i--)
			*pc++ = 0;
		pc = &(*c)[1];
		if (al <= *b)
			for (i = al; i; i--)
			{
				zaddmul1(*(++a), pc++, b);
			}
		else
			for (i = *b; i; i--)
			{
				zaddmul1(*(++b), pc++, a);
			}
		while ((hal > 1) && (!((*c)[hal])))
			hal--;
		(*c)[0] = hal;
		return;
	}
	a0 = &(kar_mem[shi]);
	a1 = &(kar_mem[shi + 1]);
	a2 = &(kar_mem[shi + 2]);
	a3 = &(kar_mem[shi + 3]);
	a4 = &(kar_mem[shi + 4]);
	hal = ((al + 1) >> 1);
	zsetlength(a0, al, "in kar_mul, locals\n");
	zsetlength(a1, al, "");
	zsetlength(a2, al, "");
	zsetlength(a3, al + hal, "");
	zsetlength(a4, al + 2, "");
	i = hal;
	while ((i > 1) && (!(a[i])))
		i--;
	a[0] = i;
	if (hal >= b[0])
		bbig = 0;
	else
	{
		i = hal;
		while ((i > 1) && (!(b[i])))
			i--;
		b[0] = i;
	}
	for (i = hal + 1; i <= al; i++)
		(*a1)[i - hal] = a[i];
	(*a1)[0] = al - hal;
	if (bbig)
	{
		for (i = hal + 1; i <= restoreb0; i++)
			(*a3)[i - hal] = b[i];
		(*a3)[0] = restoreb0 - hal;
	}
	kar_mul1(a, b, a4, shi + 5);
	zadd1(a, (*a1), a0);
	a[0] = al;
	if (bbig)
	{
		kar_mul1((*a1), (*a3), c, shi + 5);
		zadd1(b, (*a3), a2);
		b[0] = restoreb0;
		kar_mul1((*a0), (*a2), a3, shi + 5);
	}
	else
		kar_mul1((*a0), b, a3, shi + 5);
	zsubpos1((*a3), (*a4), a3);
	if (bbig)
		zsubpos1((*a3), *c, a3);
	zlshift1((*a3), hal * 26, a3);
	hal <<= 1;
	if (bbig)
	{
		for (i = (*c)[0]; i; i--)
			(*c)[i + hal] = (*c)[i];
		for (i = hal; i > (*a4)[0]; i--)
			(*c)[i] = 0;
		for (; i; i--)
			(*c)[i] = (*a4)[i];
		(*c)[0] += hal;
	}
	else
	{
		for (i = (*a4)[0]; i >= 0; i--)
			(*c)[i] = (*a4)[i];
	}
	zadd1(*c, (*a3), c);
}


#define ExtractHiLo1(Hi,Lo,x) \
{ \
double t=x+(4503599627370496.0); \
unsigned long *it = (unsigned long *)&t; \
Lo = it[1]; \
Hi = ((it[0]<<6)|(it[1]>>26)); \
Lo &= 0x3FFFFFF; \
Hi &= 0x3FFFFFF; \
}

#define zaddmulpsq1(a,b,t) \
{ \
   double __lx = ((double) (*a)) + ((double) b)*((double) b); \
   register long  __lhi = 0, __llo = 0;\
   ExtractHiLo1(__lhi,__llo,__lx);\
   (*a) = __llo;\
   (*t) = __lhi;\
}


void zaddmulsq1(
        long ams,
        long *ama,
        long *amb
        )
{
        register long carry = 0;
        register long i = ams;
        register double dams = (double) (*amb);
        double xx;
        register double yy;
        register unsigned long lo;
        register unsigned long hi;

        xx =  ((double) (*(++amb)))*dams + 4503599627370496.0;
        for (; i > 1; i--)
        {
                yy =  ((double) (*(++amb)))*dams + 4503599627370496.0;
                lo = LO1(xx) & 0x3FFFFFF;
                hi = ((HI1(xx)<<6)|(LO1(xx)>>26)) & 0x3FFFFFF;
                lo = lo + (*ama) + carry;
                *ama = lo & 0x3FFFFFF;
                carry = hi + (lo >> 26);
                ama++;
                xx = yy;
        }
        if (i==1)
        {
                lo = LO1(xx) & 0x3FFFFFF;
                hi = ((HI1(xx)<<6)|(LO1(xx)>>26)) & 0x3FFFFFF;
                lo = lo + (*ama) + carry;
                *ama = lo & 0x3FFFFFF;
                carry = hi + (lo >> 26);
                ama++;
        }
        *ama += carry;
}


kar_sq1(
	verylong a,
	verylong *c,
	long shi
	)
{
	register long al;
	register long hal;
	register long i;
	register verylong pc;
	verylong *a0;
	verylong *a1;
	verylong *a2;

	zsetlength(c, (i = ((al = a[0]) << 1)), "in kar_sq, second argument");
	if ((shi >= (3 * KAR_DEPTH)) || (al < K_S_C))
	{
		register unsigned long uncar;
		long carry = 0;
		pc = &(*c)[1];
		for (; i > 0; i--)
			*pc++ = 0;
		for (hal = 1; hal <= al; hal++)
		{
			i += 2;
			{
				zaddmulsq1(al - hal, &((*c)[i]), &(a[hal]));
			}
			uncar = ((*c)[i - 1] << 1) + carry;
			(*c)[i - 1] = uncar & ((1L<<26)-1);
			uncar = ((*c)[i] << 1) + (uncar >> 26);
			{
				zaddmulpsq1(&(*c)[i - 1], a[hal], &carry);
			}
			uncar += carry;
			carry = uncar >> 26;
			(*c)[i] = uncar & ((1L<<26)-1);
		}
		while ((i > 1) && (!((*c)[i])))
			i--;
		(*c)[0] = i;
		return;
	}
	a0 = &(kar_mem[shi]);
	a1 = &(kar_mem[shi + 1]);
	a2 = &(kar_mem[shi + 2]);
	hal = ((al + 1) >> 1);
	zsetlength(a0, al + hal + 2, "in kar_sq, locals\n");
	zsetlength(a1, al + 2, "");
	zsetlength(a2, al, "");
	i = hal;
	while ((i > 1) && (!(a[i])))
		i--;
	a[0] = i;
	for (i = hal + 1; i <= al; i++)
		(*a0)[i - hal] = a[i];
	(*a0)[0] = al - hal;
	kar_sq1(a, a1, shi + 3);
	zadd(a, (*a0), a2);
	kar_sq1((*a0), c, shi + 3);
	a[0] = al;
	kar_sq1((*a2), a0, shi + 3);
	zsubpos1((*a0), (*a1), a0);
	zsubpos1((*a0), *c, a0);
	zlshift1((*a0), hal * 26, a0);
	hal <<= 1;
	for (i = (*c)[0]; i; i--)
		(*c)[i + hal] = (*c)[i];
	for (i = hal; i > (*a1)[0]; i--)
		(*c)[i] = 0;
	for (; i; i--)
		(*c)[i] = (*a1)[i];
	(*c)[0] += hal;
	zadd(*c, (*a0), c);
}


/* SINGLE_MUL = 0, PLAIN = 1, KARAT = 0 */

void
zmul2(
        verylong a,
        verylong b,
        verylong *c
        )
{       /* output not input */
        register long aneg;
        register long bneg;
        verylong olda;
        verylong oldb;

        if (ALLOCATE && (!a || !b))
        {
                zzero(c);
                return;
        }
        if (a == b)
        {
                zsq(a, c);
                return;
        }
        if (!kar_mem_initialized)
        {
                kar_mem_initialized = 1;
                for (aneg = (5 * KAR_DEPTH) - 1; aneg >= 0; aneg--)
                        kar_mem[aneg] = (verylong) 0;
        }
        olda = a;
        oldb = b;
        if (aneg = (*a < 0))
                a[0] = -a[0];
        if (bneg = (*b < 0))
                b[0] = -b[0];
        if (*a > *b)
                kar_mul2(a, b, c, (long) 0);
        else
                kar_mul2(b, a, c, (long) 0);
        if (aneg != bneg && ((*c)[1] || (*c)[0] != 1))
                (*c)[0] = -(*c)[0];
        if (aneg)
                olda[0] = -olda[0];
        if (bneg)
                oldb[0] = -oldb[0];
}

void
zsq2(
        verylong a,
        verylong *c
        )
{       /* output is not input */
        register long aneg;

        if (ALLOCATE && !a)
        {
                zzero(c);
                return;
        }
        if (!kar_mem_initialized)
        {
                kar_mem_initialized = 1;
                for (aneg = (5 * KAR_DEPTH) - 1; aneg >= 0; aneg--)
                        kar_mem[aneg] = (verylong) 0;
        }
        if (aneg = (*a < 0))
                a[0] = -a[0];
        kar_sq2(a, c, (long) 0);
        if (aneg)
                a[0] = -a[0];
}


#  define zaddmulp2(_a, _b, _d, _t) \
{ \
        register long lb = (_b); \
        register long ld = (_d); \
        register long b1 = (_b) & RADIXROOTM; \
        register long d1 = (_d) & RADIXROOTM; \
        register long aa = *(_a) + b1 * d1; \
 \
        b1 = b1 * (ld >>= NBITSH) + d1 * (lb >>= NBITSH) + (aa >> NBITSH); \
        aa = (aa & RADIXROOTM) + ((b1 & RADIXROOTM) << NBITSH) + *(_t); \
        *(_t) = ld * lb + (b1 >> NBITSH) + (aa >> NBITS); \
        *(_a) = (aa & RADIXM); \
}


#define zaddmul2(ams, ama, amb) \
{ \
        register long lami; \
        register long lams = (ams); \
        register verylong lama = (ama); \
        register verylong lamb = (amb); \
        long lamcarry = 0; \
 \
        for (lami = (*lamb++); lami > 0; lami--) \
        { \
                zaddmulp2(lama, *lamb, lams, &lamcarry); \
        /* Be careful, the last lama is unnormalized */ \
                lama++; \
                lamb++; \
        } \
        *lama += lamcarry; \
}

kar_mul2(
	verylong a,
	verylong b,
	verylong *c,
	long shi
	)
{
	register long al;
	register long hal;
	register long i;
	register long restoreb0 = b[0];
	register verylong pc;
	register long bbig = 1;
	verylong *a0;
	verylong *a1;
	verylong *a2;
	verylong *a3;
	verylong *a4;

	zsetlength(c, (hal = (al = a[0]) + (i = b[0])), "in kar_mul, third argument");
	if ((shi >= (5 * KAR_DEPTH)) || (al < K_M_C) || (i < K_M_C))
	{
		pc = &(*c)[1];
		for (i = hal; i > 0; i--)
			*pc++ = 0;
		pc = &(*c)[1];
		if (al <= *b)
			for (i = al; i; i--)
			{
				zaddmul2(*(++a), pc++, b);
			}
		else
			for (i = *b; i; i--)
			{
				zaddmul2(*(++b), pc++, a);
			}
		while ((hal > 1) && (!((*c)[hal])))
			hal--;
		(*c)[0] = hal;
		return;
	}
	a0 = &(kar_mem[shi]);
	a1 = &(kar_mem[shi + 1]);
	a2 = &(kar_mem[shi + 2]);
	a3 = &(kar_mem[shi + 3]);
	a4 = &(kar_mem[shi + 4]);
	hal = ((al + 1) >> 1);
	zsetlength(a0, al, "in kar_mul, locals\n");
	zsetlength(a1, al, "");
	zsetlength(a2, al, "");
	zsetlength(a3, al + hal, "");
	zsetlength(a4, al + 2, "");
	i = hal;
	while ((i > 1) && (!(a[i])))
		i--;
	a[0] = i;
	if (hal >= b[0])
		bbig = 0;
	else
	{
		i = hal;
		while ((i > 1) && (!(b[i])))
			i--;
		b[0] = i;
	}
	for (i = hal + 1; i <= al; i++)
		(*a1)[i - hal] = a[i];
	(*a1)[0] = al - hal;
	if (bbig)
	{
		for (i = hal + 1; i <= restoreb0; i++)
			(*a3)[i - hal] = b[i];
		(*a3)[0] = restoreb0 - hal;
	}
	kar_mul2(a, b, a4, shi + 5);
	zadd(a, (*a1), a0);
	a[0] = al;
	if (bbig)
	{
		kar_mul2((*a1), (*a3), c, shi + 5);
		zadd(b, (*a3), a2);
		b[0] = restoreb0;
		kar_mul2((*a0), (*a2), a3, shi + 5);
	}
	else
		kar_mul2((*a0), b, a3, shi + 5);
	zsubpos((*a3), (*a4), a3);
	if (bbig)
		zsubpos((*a3), *c, a3);
	zlshift((*a3), hal * NBITS, a3);
	hal <<= 1;
	if (bbig)
	{
		for (i = (*c)[0]; i; i--)
			(*c)[i + hal] = (*c)[i];
		for (i = hal; i > (*a4)[0]; i--)
			(*c)[i] = 0;
		for (; i; i--)
			(*c)[i] = (*a4)[i];
		(*c)[0] += hal;
	}
	else