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liptimer.c
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/*
touch lippar.h
compile lip.c to produce lip.o
compile and run timer.c (using lip.o), produces non-empty lippar.h
recompile lip.c to produce new lip.o
*/
#include <stddef.h>
#include <stdio.h>
#include <math.h>
#include <malloc.h>
#include <signal.h>
#include <sys/time.h>
#include <sys/resource.h>
#include "lip.h"
/* do NUMBER timings of integers of size FIRST + i * INCR bits,
for 0 <= i < NUMBER */
long FIRST = 59;
long INCR = 120;
long NUMBER = 5;
#define ITER 10000 /* # of iterations for timings */
long SEED=11L; /* for randomness */
/* do not worry about anything below this point */
#ifndef KAR_DEPTH
#define KAR_DEPTH 20
#endif
long K_M_C = 20;
long K_S_C = 20;
/*Function prototypes for static internal functions.*/
static void zhalt(
char *c
);
#define zaddmulone(ama, amb) \
{ \
register long lami; \
register long lams = 0; \
register verylong lama = (ama); \
register verylong lamb = (amb); \
\
lams = 0; \
for (lami = (*lamb++); lami > 0; lami--) \
{ \
lams += (*lama + *lamb++); \
*lama++ = lams & RADIXM; \
lams >>= NBITS; \
} \
*lama += lams; \
}
/* for long division */
static double log10rad = -1.0;
static double epsilon;
static double fradix = (double)RADIX;
static double fudge = -1.0;
static double fudge1 = -1.0;
#ifdef ALPHA
static double fudge2 = -1.0;
#endif
#ifdef ALPHA50
static double alpha50fudge = -1.0;
static double alpha50fradix = (double) ALPHA50RADIX;
#endif
/* for random generator */
static verylong zseed = 0;
static verylong zranp = 0;
static verylong zprroot = 0;
/* for convenience */
static long oner[] = {1, 1, 1};
static long glosho[] = {1, 1, 0};
static verylong one = &oner[1];
/* for karatsuba */
static verylong kar_mem[5*KAR_DEPTH];
static long kar_mem_initialized = 0;
static void
zhalt(
char *c
)
{
#ifdef NOHALT
fprintf(stderr,"error:\n %s\ncontinue...\n",c);
#else
fprintf(stderr,"fatal error:\n %s\nexit...\n",c);
(void)exit((int)0);
#endif
}
/* SINGLE_MUL=0, PLAIN=0, KARAT=1 */
void
zmul3(
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_mul3(a, b, c, (long) 0);
else
kar_mul3(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
zsq3(
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_sq3(a, c, (long) 0);
if (aneg)
a[0] = -a[0];
}
#define zaddmulp3( a, b, d, t) { \
register unsigned long aa= (*a) + (*t); \
register unsigned long b1 = b & RADIXROOTM; \
register unsigned long d1 = d & RADIXROOTM; \
register unsigned long bd,b1d1,m; \
register unsigned long ld = (d>>NBITSH); \
register unsigned long lb = (b>>NBITSH); \
\
bd=lb*ld; \
b1d1=b1*d1; \
m=(lb+b1)*(ld+d1) - bd - b1d1; \
aa += ( b1d1+ ((m&RADIXROOTM)<<NBITSH)); \
(*t) = (aa >> NBITS) + bd + (m>>NBITSH); \
(*a) = aa & RADIXM; \
}
#define zaddmul3(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--) \
{ \
zaddmulp3(lama, *lamb, lams, &lamcarry); \
/* Be careful, the last lama is unnormalized */ \
lama++; \
lamb++; \
} \
*lama += lamcarry; \
}
kar_mul3(
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--)
{
zaddmul3(*(++a), pc++, b);
}
else
for (i = *b; i; i--)
{
zaddmul3(*(++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_mul3(a, b, a4, shi + 5);
zadd(a, (*a1), a0);
a[0] = al;
if (bbig)
{
kar_mul3((*a1), (*a3), c, shi + 5);
zadd(b, (*a3), a2);
b[0] = restoreb0;
kar_mul3((*a0), (*a2), a3, shi + 5);
}
else
kar_mul3((*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
{
for (i = (*a4)[0]; i >= 0; i--)
(*c)[i] = (*a4)[i];
}
zadd(*c, (*a3), c);
}
#define zaddmulsq3(sql, sqa, sqb) \
{ \
register long lsqi = (sql); \
register long lsqs = *(sqb); \
register verylong lsqa = (sqa); \
register verylong lsqb = (sqb); \
long lsqcarry = 0; \
\
lsqb++; \
for (; lsqi > 0; lsqi--) \
{ \
zaddmulp3(lsqa, *lsqb, lsqs, &lsqcarry); \
lsqa++; \
lsqb++; \
} \
*lsqa += lsqcarry; \
/* Be careful, the last lama is unnormalized */ \
}
#define zaddmulpsq3(_a, _b, _t) \
{ \
register long lb = (_b); \
register long b1 = (_b) & RADIXROOTM; \
register long aa = *(_a) + b1 * b1; \
\
b1 = (b1 * (lb >>= NBITSH) << 1) + (aa >> NBITSH); \
aa = (aa & RADIXROOTM) + ((b1 & RADIXROOTM) << NBITSH); \
*(_t) = lb * lb + (b1 >> NBITSH) + (aa >> NBITS); \
*(_a) = (aa & RADIXM); \
}
kar_sq3(
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;
{
zaddmulsq3(al - hal, &((*c)[i]), &(a[hal]));
}
uncar = ((*c)[i - 1] << 1) + carry;
(*c)[i - 1] = uncar & RADIXM;
uncar = ((*c)[i] << 1) + (uncar >> NBITS);
{
zaddmulpsq3(&(*c)[i - 1], a[hal], &carry);
}
uncar += carry;
carry = uncar >> NBITS;
(*c)[i] = uncar & RADIXM;
}
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_sq3(a, a1, shi + 3);
zadd(a, (*a0), a2);
kar_sq3((*a0), c, shi + 3);
a[0] = al;
kar_sq3((*a2), a0, shi + 3);
zsubpos((*a0), (*a1), a0);
zsubpos((*a0), *c, a0);
zlshift((*a0), hal * NBITS, 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=0, KARAT=0 */
void
zmul0(
verylong a,
verylong b,
verylong *c
)
{ /* output not input */
register long aneg;
register long bneg;
verylong olda;
verylong oldb;
/*
printf("zmul0\n"); fflush(stdout);
*/
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_mul0(a, b, c, (long) 0);
else
kar_mul0(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
zsq0(
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_sq0(a, c, (long) 0);
if (aneg)
a[0] = -a[0];
}
static double fradix_inv0 = 1.0 / RADIX; /* Global constant */
#define zaddmulp0(_a, _b, _d, _t) \
{ \
register at = *(_a) + *(_t); \
register long aa = (at + (_b) * (_d)) & RADIXM; \
\
*(_t) = (long) (0.25 + fradix_inv0 * (((double) (at - aa)) \
+ ((double) (_b)) * ((double) (_d)))); \
*(_a) = aa; \
}
#define zaddmul0(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--) \
{ \
zaddmulp0(lama, *lamb, lams, &lamcarry); \
/* Be careful, the last lama is unnormalized */ \
lama++; \
lamb++; \
} \
*lama += lamcarry; \
}
kar_mul0(
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;
/*
printf("karmul0\n"); fflush(stdout);
*/
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--)
{
zaddmul0(*(++a), pc++, b);
}
else
for (i = *b; i; i--)
{
zaddmul0(*(++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_mul0(a, b, a4, shi + 5);
zadd(a, (*a1), a0);
a[0] = al;
if (bbig)
{
kar_mul0((*a1), (*a3), c, shi + 5);
zadd(b, (*a3), a2);
b[0] = restoreb0;
kar_mul0((*a0), (*a2), a3, shi + 5);
}
else
kar_mul0((*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
{
for (i = (*a4)[0]; i >= 0; i--)
(*c)[i] = (*a4)[i];
}
zadd(*c, (*a3), c);
}
#define zaddmulsq0(sql, sqa, sqb) \
{ \
register long lsqi = (sql); \
register long lsqs = *(sqb); \
register verylong lsqa = (sqa); \
register verylong lsqb = (sqb); \
long lsqcarry = 0; \
\
lsqb++; \
for (; lsqi > 0; lsqi--) \
{ \
zaddmulp0(lsqa, *lsqb, lsqs, &lsqcarry); \
lsqa++; \
lsqb++; \
} \
*lsqa += lsqcarry; \
/* Be careful, the last lama is unnormalized */ \
}
#define zaddmulpsq0(_a, _b, _t) \
{ \
register at = *(_a); \
register long aa = (at + (_b) * (_b)) & RADIXM; \
\
*(_t) = (long) (0.25 + fradix_inv0 * (((double) (at - aa)) \
+ ((double) (_b)) * ((double) (_b)))); \
*(_a) = aa; \
}
kar_sq0(
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;
{
zaddmulsq0(al - hal, &((*c)[i]), &(a[hal]));
}
uncar = ((*c)[i - 1] << 1) + carry;
(*c)[i - 1] = uncar & RADIXM;
uncar = ((*c)[i] << 1) + (uncar >> NBITS);
{
zaddmulpsq0(&(*c)[i - 1], a[hal], &carry);
}
uncar += carry;
carry = uncar >> NBITS;
(*c)[i] = uncar & RADIXM;
}
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_sq0(a, a1, shi + 3);
zadd(a, (*a0), a2);
kar_sq0((*a0), c, shi + 3);
a[0] = al;
kar_sq0((*a2), a0, shi + 3);
zsubpos((*a0), (*a1), a0);
zsubpos((*a0), *c, a0);
zlshift((*a0), hal * NBITS, 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 = 1, PLAIN = 0, KARAT = 0 */
/* warning: must first convert to 26 bit radix */
void
zmul1(
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_mul1(a, b, c, (long) 0);
else
kar_mul1(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
zsq1(
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_sq1(a, c, (long) 0);
if (aneg)
a[0] = -a[0];
}
#define LO1(x) (((unsigned long *) &x)[1])
#define HI1(x) (((unsigned long *) &x)[0])
static void zsubpos1();
typedef union { double d; unsigned long rep[2]; } d_or_rep;
#define FetchHiLo1(hi,lo,x) \
{ \
d_or_rep _l_xx; \
_l_xx.d = x; \
hi = _l_xx.rep[0]; \
lo = _l_xx.rep[1]; \
}
void zaddmul1(
long ams,
long *ama,
long *amb
)
{
register long carry = 0;
register long i = (*amb++);
register double dams = (double) ams;
register double xx;
register double yy;
register unsigned long lo_wd, lo;
register unsigned long hi_wd, hi;
xx = ((double) (*amb))*dams + 4503599627370496.0;
for (; i > 1; i--)
{
yy = ((double) (*(++amb)))*dams +4503599627370496.0;
FetchHiLo1(hi_wd, lo_wd, xx);
lo = lo_wd & 0x3FFFFFF;
hi = ((hi_wd<<6)|(lo_wd>>26)) & 0x3FFFFFF;
lo = lo + (*ama) + carry;
*ama = lo & 0x3FFFFFF;
carry = hi + (lo >> 26);
ama++;
xx = yy;
}
FetchHiLo1(hi_wd, lo_wd, xx);
lo = lo_wd & 0x3FFFFFF;
hi = ((hi_wd<<6)|(lo_wd>>26)) & 0x3FFFFFF;
lo = lo + (*ama) + carry;
*ama = lo & 0x3FFFFFF;
carry = hi + (lo >> 26);
ama++;
*ama += carry;
}
static void
zaddls1(
verylong a,
verylong b,
verylong c
)
{
/* low level c = a+b, b shorter than a, output can be input */
register long sa = *a;
register long sb = *b;
register long carry = 0;
register long i;
register verylong pc;
/* we know that sa and sb are both >0 or both <0 */
pc = &c[0];
if (sa < 0)
{
sa = -sa;
sb = -sb;
}
for (i = 1; i <= sb; i++)
{
if ((*(++pc) = (*(++a)) + (*(++b)) + carry) < (1L<<26))
carry = 0;
else
{
*pc -= (1L<<26);
carry = 1;
}
}
for (; i <= sa; i++)
{
if ((*(++pc) = (*(++a)) + carry) < (1L<<26))
carry = 0;
else
{
*pc -= (1L<<26);
carry = 1;
}
}
if (carry)
{
c[0] = sa + 1;
*(++pc) = 1;
}
else
c[0] = sa;
}
void
z2mul1(
verylong n,
verylong *rres
)
{
register long sn;
register long i;
register long carry = 0;
verylong res = *rres;
if (ALLOCATE && !n)
{
zzero(rres);
return;
}
if ((!n[1]) && (n[0] == 1))
{
zzero(rres);
return;
}
if ((sn = n[0]) < 0)
sn = -sn;
zsetlength(&res, sn + 1, "in z2mul, second argument");
if (n == *rres) n = res;
*rres = res;
for (i = 1; i <= sn; i++)
{
if ((res[i] = (n[i] << 1) + carry) >= (1L<<26))
{
res[i] -= (1L<<26);
carry = 1;
}
else
carry = 0;
}
if (carry)
res[++sn] = 1;
if (n[0] < 0)
res[0] = -sn;
else
res[0] = sn;
}
void
zlshift1(
verylong n,
long k,
verylong *rres
)
{
register long big;
register long small;
register long sn;
register long i;
register long cosmall;
verylong res = *rres;