#define nil 0
#define false 0
#define true 1
#define bubblebase 1.61
#define dnfbase 3.5
#define permbase 1.75
#define queensbase 1.83
#define towersbase 2.39
#define quickbase 1.92
#define intmmbase 1.46
#define treebase 2.5
#define mmbase 0.0
#define fpmmbase 2.92
#define puzzlebase 0.5
#define fftbase 0.0
#define fpfftbase 4.44
#define maxcells 18
#define rowsize 200
#define size 511
#define classmax 3
#define typemax 12
#define d 8
#define sortelements 6000
#define srtelements 6000
#define fftsize 256
#define fftsize2 129
#define permrange 10
struct node {
struct node *left,*right;
int val;
};
#define stackrange 3
struct element {
int discsize;
int next;
};
struct complex { float rp, ip; } ;
float value;
float fixed,floated;
int seed;
int permarray[permrange+1];
int pctr;
struct node *tree;
stack[stackrange+1];
struct element cellspace[maxcells+1];
int freelist,
movesdone;
int ima[rowsize+1][rowsize+1], imb[rowsize+1][rowsize+1], imr[rowsize+1][rowsize+1];
float rma[rowsize+1][rowsize+1], rmb[rowsize+1][rowsize+1], rmr[rowsize+1][rowsize+1];
int piececount[classmax+1],
class[typemax+1],
piecemax[typemax+1],
puzzl[size+1],
p[typemax+1][size+1],
n,
kount;
int sortlist[sortelements+1],
biggest, littlest,
top;
struct complex z[fftsize+1], w[fftsize+1],
e[fftsize2+1];
float zr, zi;
#include <sys/param.h>
#ifdef BSD
#include <sys/time.h>
#include <sys/resource.h>
double Getclock ()
{
struct rusage ru;
getrusage (RUSAGE_SELF, &ru);
return (double)ru.ru_utime.tv_sec + (double)ru.ru_utime.tv_usec*1e-6;
}
#else
#include <sys/types.h>
#include <sys/times.h>
double Getclock ()
{
struct tms rusage;
times (&rusage);
return (double)rusage.tms_utime/(double)HZ;
}
#endif
Initrand ()
{
seed = 74755;
};
int Rand ()
{
seed = (seed * 1309 + 13849) & 65535;
return( seed );
};
Swap ( a,b )
int *a, *b;
{
int t;
t = *a; *a = *b; *b = t;
};
Initialize ()
{
int i;
for ( i = 1; i <= 7; i++ ) {
permarray[i]=i-1;
};
};
Permute (n)
int n;
{
int k;
pctr = pctr + 1;
if ( n!=1 ) {
Permute(n-1);
for ( k = n-1; k >= 1; k-- ) {
Swap(&permarray[n],&permarray[k]);
Permute(n-1);
Swap(&permarray[n],&permarray[k]);
};
};
} ;
Perm () {
int i;
pctr = 0;
for ( i = 1; i <= 5; i++ ) {
Initialize();
Permute(7);
};
if ( pctr != 43300 )
printf(" Error in Perm.\n");
} ;
Error (emsg) char *emsg;
{
printf(" Error in Towers: %s\n",emsg);
};
Makenull (s)
{
stack[s]=0;
};
int Getelement ()
{
int temp;
if ( freelist>0 )
{
temp = freelist;
freelist = cellspace[freelist].next;
}
else
Error("out of space ");
return (temp);
};
Push(i,s) int i, s;
{
int errorfound, localel;
errorfound=false;
if ( stack[s] > 0 )
if ( cellspace[stack[s]].discsize<=i )
{
errorfound=true;
Error("disc size error");
};
if ( ! errorfound )
{
localel=Getelement();
cellspace[localel].next=stack[s];
stack[s]=localel;
cellspace[localel].discsize=i;
}
};
Init (s,n) int s, n;
{
int discctr;
Makenull(s);
for ( discctr = n; discctr >= 1; discctr-- )
Push(discctr,s);
};
int Pop (s) int s;
{
int temp, temp1;
if ( stack[s] > 0 )
{
temp1 = cellspace[stack[s]].discsize;
temp = cellspace[stack[s]].next;
cellspace[stack[s]].next=freelist;
freelist=stack[s];
stack[s]=temp;
return (temp1);
}
else
Error("nothing to pop ");
};
Move (s1,s2) int s1, s2;
{
Push(Pop(s1),s2);
movesdone=movesdone+1;
};
tower(i,j,k) int i,j,k;
{
int other;
if ( k==1 )
Move(i,j);
else
{
other=6-i-j;
tower(i,other,k-1);
Move(i,j);
tower(other,j,k-1);
}
};
Towers () {
int i;
for ( i=1; i <= maxcells; i++ )
cellspace[i].next=i-1;
freelist=maxcells;
Init(1,14);
Makenull(2);
Makenull(3);
movesdone=0;
tower(1,2,14);
if ( movesdone != 16383 )
printf (" Error in Towers.\n");
};
Try(i, q, a, b, c, x) int i, *q, a[], b[], c[], x[];
{
int j;
j = 0;
*q = false;
while ( (! *q) && (j != 8) )
{ j = j + 1;
*q = false;
if ( b[j] && a[i+j] && c[i-j+7] )
{ x[i] = j;
b[j] = false;
a[i+j] = false;
c[i-j+7] = false;
if ( i < 8 )
{ Try(i+1,q,a,b,c,x);
if ( ! *q )
{ b[j] = true;
a[i+j] = true;
c[i-j+7] = true;
}
}
else *q = true;
}
}
};
Doit ()
{
int i,q;
int a[9], b[17], c[15], x[9];
i = 0 - 7;
while ( i <= 16 )
{ if ( (i >= 1) && (i <= 8) ) a[i] = true;
if ( i >= 2 ) b[i] = true;
if ( i <= 7 ) c[i+7] = true;
i = i + 1;
};
Try(1, &q, b, a, c, x);
if ( ! q )
printf (" Error in Queens.\n");
};
Queens ()
{
int i;
for ( i = 1; i <= 50; i++ ) Doit();
};
Initmatrix ( m ) int m[rowsize+1][rowsize+1];
{
int temp, i, j;
for ( i = 1; i <= rowsize; i++ )
for ( j = 1; j <= rowsize; j++ )
{ temp = Rand();
m[i][j] = temp - (temp/120)*120 - 60;
};
};
Innerproduct( result,a,b, row,column)
int *result,a[rowsize+1][rowsize+1],b[rowsize+1][rowsize+1],row,column;
{
int i;
*result = 0;
for(i = 1; i <= rowsize; i++ )*result = *result+a[row][i]*b[i][column];
};
Intmm ()
{
int i, j;
Initrand();
Initmatrix (ima);
Initmatrix (imb);
for ( i = 1; i <= rowsize; i++ )
for ( j = 1; j <= rowsize; j++ ) Innerproduct(&imr[i][j],ima,imb,i,j);
};
rInitmatrix ( m ) float m[rowsize+1][rowsize+1];
{
int temp, i, j;
for ( i = 1; i <= rowsize; i++ )
for ( j = 1; j <= rowsize; j++ )
{ temp = Rand();
m[i][j] = (temp - (temp/120)*120 - 60)/3;
}
};
rInnerproduct(result,a,b,row,column)
float *result,a[rowsize+1][rowsize+1],b[rowsize+1][rowsize+1];
int row,column;
{
int i;
*result = 0.0;
for (i = 1; i<=rowsize; i++) *result = *result+a[row][i]*b[i][column];
};
Mm () {
int i, j;
Initrand();
rInitmatrix (rma);
rInitmatrix (rmb);
for ( i = 1; i <= rowsize; i++ )
for ( j = 1; j <= rowsize; j++ ) rInnerproduct(&rmr[i][j],rma,rmb,i,j);
};
int Fit (i, j) int i, j;
{
int k;
for ( k = 0; k <= piecemax[i]; k++ )
if ( p[i][k] ) if ( puzzl[j+k] ) return (false);
return (true);
};
int Place (i, j) int i,j;
{
int k;
for ( k = 0; k <= piecemax[i]; k++ )
if ( p[i][k] ) puzzl[j+k] = true;
piececount[class[i]] = piececount[class[i]] - 1;
for ( k = j; k <= size; k++ )
if ( ! puzzl[k] ) {
return (k);
};
return (0);
};
Remove (i, j) int i, j;
{
int k;
for ( k = 0; k <= piecemax[i]; k++ )
if ( p[i][k] ) puzzl[j+k] = false;
piececount[class[i]] = piececount[class[i]] + 1;
};
int Trial (j) int j;
{
int i, k;
kount = kount + 1;
for ( i = 0; i <= typemax; i++ )
if ( piececount[class[i]] != 0 )
if ( Fit (i, j) ) {
k = Place (i, j);
if ( Trial(k) || (k == 0) ) {
return (true);
}
else Remove (i, j);
};
return (false);
};
Puzzle ()
{
int i, j, k, m;
for ( m = 0; m <= size; m++ ) puzzl[m] = true;
for( i = 1; i <= 5; i++ )for( j = 1; j <= 5; j++ )for( k = 1; k <= 5; k++ )
puzzl[i+d*(j+d*k)] = false;
for( i = 0; i <= typemax; i++ )for( m = 0; m<= size; m++ ) p[i][m] = false;
for( i = 0; i <= 3; i++ )for( j = 0; j <= 1; j++ )for( k = 0; k <= 0; k++ )
p[0][i+d*(j+d*k)] = true;
class[0] = 0;
piecemax[0] = 3+d*1+d*d*0;
for( i = 0; i <= 1; i++ )for( j = 0; j <= 0; j++ )for( k = 0; k <= 3; k++ )
p[1][i+d*(j+d*k)] = true;
class[1] = 0;
piecemax[1] = 1+d*0+d*d*3;
for( i = 0; i <= 0; i++ )for( j = 0; j <= 3; j++ )for( k = 0; k <= 1; k++ )
p[2][i+d*(j+d*k)] = true;
class[2] = 0;
piecemax[2] = 0+d*3+d*d*1;
for( i = 0; i <= 1; i++ )for( j = 0; j <= 3; j++ )for( k = 0; k <= 0; k++ )
p[3][i+d*(j+d*k)] = true;
class[3] = 0;
piecemax[3] = 1+d*3+d*d*0;
for( i = 0; i <= 3; i++ )for( j = 0; j <= 0; j++ )for( k = 0; k <= 1; k++ )
p[4][i+d*(j+d*k)] = true;
class[4] = 0;
piecemax[4] = 3+d*0+d*d*1;
for( i = 0; i <= 0; i++ )for( j = 0; j <= 1; j++ )for( k = 0; k <= 3; k++ )
p[5][i+d*(j+d*k)] = true;
class[5] = 0;
piecemax[5] = 0+d*1+d*d*3;
for( i = 0; i <= 2; i++ )for( j = 0; j <= 0; j++ )for( k = 0; k <= 0; k++ )
p[6][i+d*(j+d*k)] = true;
class[6] = 1;
piecemax[6] = 2+d*0+d*d*0;
for( i = 0; i <= 0; i++ )for( j = 0; j <= 2; j++ )for( k = 0; k <= 0; k++ )
p[7][i+d*(j+d*k)] = true;
class[7] = 1;
piecemax[7] = 0+d*2+d*d*0;
for( i = 0; i <= 0; i++ )for( j = 0; j <= 0; j++ )for( k = 0; k <= 2; k++ )
p[8][i+d*(j+d*k)] = true;
class[8] = 1;
piecemax[8] = 0+d*0+d*d*2;
for( i = 0; i <= 1; i++ )for( j = 0; j <= 1; j++ )for( k = 0; k <= 0; k++ )
p[9][i+d*(j+d*k)] = true;
class[9] = 2;
piecemax[9] = 1+d*1+d*d*0;
for( i = 0; i <= 1; i++ )for( j = 0; j <= 0; j++ )for( k = 0; k <= 1; k++ )
p[10][i+d*(j+d*k)] = true;
class[10] = 2;
piecemax[10] = 1+d*0+d*d*1;
for( i = 0; i <= 0; i++ )for( j = 0; j <= 1; j++ )for( k = 0; k <= 1; k++ )
p[11][i+d*(j+d*k)] = true;
class[11] = 2;
piecemax[11] = 0+d*1+d*d*1;
for( i = 0; i <= 1; i++ )for( j = 0; j <= 1; j++ )for( k = 0; k <= 1; k++ )
p[12][i+d*(j+d*k)] = true;
class[12] = 3;
piecemax[12] = 1+d*1+d*d*1;
piececount[0] = 13;
piececount[1] = 3;
piececount[2] = 1;
piececount[3] = 1;
m = 1+d*(1+d*1);
kount = 0;
if ( Fit(0, m) ) n = Place(0, m);
else printf("Error1 in Puzzle\n");
if ( ! Trial(n) ) printf ("Error2 in Puzzle.\n");
else if ( kount != 2005 ) printf ( "Error3 in Puzzle.\n");
};
Initarr()
{
int i, temp;
Initrand();
biggest = 0; littlest = 0;
for ( i = 1; i <= sortelements; i++ )
{
temp = Rand();
sortlist[i] = temp - (temp/100000)*100000 - 50000;
if ( sortlist[i] > biggest ) biggest = sortlist[i];
else if ( sortlist[i] < littlest ) littlest = sortlist[i];
};
};
Quicksort( a,l,r) int a[], l, r;
{
int i,j,x,w;
i=l; j=r;
x=a[(l+r) / 2];
do {
while ( a[i]<x ) i = i+1;
while ( x<a[j] ) j = j-1;
if ( i<=j ) {
w = a[i];
a[i] = a[j];
a[j] = w;
i = i+1; j= j-1;
}
} while ( i<=j );
if ( l <j ) Quicksort(a,l,j);
if ( i<r ) Quicksort(a,i,r);
};
Quick ()
{
Initarr();
Quicksort(sortlist,1,sortelements);
if ( (sortlist[1] != littlest) || (sortlist[sortelements] != biggest) )
printf ( " Error in Quick.\n");
};
tInitarr()
{
int i, temp;
Initrand();
biggest = 0; littlest = 0;
for ( i = 1; i <= sortelements; i++ )
{
temp = Rand();
sortlist[i] = temp - (temp/100000)*100000 - 50000;
if ( sortlist[i] > biggest ) biggest = sortlist[i];
else if ( sortlist[i] < littlest ) littlest = sortlist[i];
};
};
CreateNode (t,n) struct node **t; int n;
{
*t = (struct node *)malloc(sizeof(struct node));
(*t)->left = nil; (*t)->right = nil;
(*t)->val = n;
};
Insert(n, t) int n; struct node *t;
{
if ( n > t->val )
if ( t->left == nil ) CreateNode(&t->left,n);
else Insert(n,t->left);
else if ( n < t->val )
if ( t->right == nil ) CreateNode(&t->right,n);
else Insert(n,t->right);
};
int Checktree(p) struct node *p;
{
int result;
result = true;
if ( p->left != nil )
if ( p->left->val <= p->val ) result=false;
else result = Checktree(p->left) && result;
if ( p->right != nil )
if ( p->right->val >= p->val ) result = false;
else result = Checktree(p->right) && result;
return( result);
};
Trees()
{
int i;
tInitarr();
tree = (struct node *)malloc(sizeof(struct node));
tree->left = nil; tree->right=nil; tree->val=sortlist[1];
for ( i = 2; i <= sortelements; i++ ) Insert(sortlist[i],tree);
if ( ! Checktree(tree) ) printf ( " Error in Tree.\n");
};
bInitarr()
{
int i, temp;
Initrand();
biggest = 0; littlest = 0;
for ( i = 1; i <= srtelements; i++ )
{
temp = Rand();
sortlist[i] = temp - (temp/100000)*100000 - 50000;
if ( sortlist[i] > biggest ) biggest = sortlist[i];
else if ( sortlist[i] < littlest ) littlest = sortlist[i];
};
};
Bubble()
{
int i, j;
bInitarr();
top=srtelements;
while ( top>1 ) {
i=1;
while ( i<top ) {
if ( sortlist[i] > sortlist[i+1] ) {
j = sortlist[i];
sortlist[i] = sortlist[i+1];
sortlist[i+1] = j;
};
i=i+1;
};
top=top-1;
};
if ( (sortlist[1] != littlest) || (sortlist[srtelements] != biggest) )
printf ( "Error3 in Bubble.\n");
};
float Cos (x) float x;
{
int i, factor;
float result,power;
result = 1.0; factor = 1; power = x;
for ( i = 2; i <= 10; i++ ) {
factor = factor * i; power = power*x;
if ( (i & 1) == 0 ) {
if ( (i & 3) == 0 ) result = result + power/factor;
else result = result - power/factor;
};
};
return (result);
};
int Min0( arg1, arg2) int arg1, arg2;
{
if ( arg1 < arg2 )
return (arg1);
else
return (arg2);
};
Printcomplex( arg1, arg2, zarray, start, finish, increment)
int arg1, arg2, start, finish, increment;
struct complex zarray[];
{
int i;
printf("\n") ;
i = start;
do {
printf(" %15.3e%15.3e",zarray[i].rp,zarray[i].ip) ;
i = i + increment;
printf(" %15.3e%15.3e",zarray[i].rp,zarray[i].ip) ;
printf("\n");
i = i + increment ;
} while ( i <= finish );
} ;
Uniform11(iy, yfl) int *iy; float *yfl;
{
*iy = (4855 * *iy + 1731) & 8191;
*yfl = *iy/8192.0;
} ;
Exptab(n, e) int n; struct complex e[];
{
float theta, divisor, h[26];
int i, j, k, l, m;
theta = 3.1415926536;
divisor = 4.0;
for ( i=1; i <= 25; i++ )
{
h[i] = 1/(2*Cos( theta/divisor ));
divisor = divisor + divisor;
};
m = n / 2 ;
l = m / 2 ;
j = 1 ;
e[1].rp = 1.0 ;
e[1].ip = 0.0;
e[l+1].rp = 0.0;
e[l+1].ip = 1.0 ;
e[m+1].rp = -1.0 ;
e[m+1].ip = 0.0 ;
do {
i = l / 2 ;
k = i ;
do {
e[k+1].rp = h[j]*(e[k+i+1].rp+e[k-i+1].rp) ;
e[k+1].ip = h[j]*(e[k+i+1].ip+e[k-i+1].ip) ;
k = k+l ;
} while ( k <= m );
j = Min0( j+1, 25);
l = i ;
} while ( l > 1 );
} ;
Fft( n, z, w, e, sqrinv)
int n; struct complex z[], w[]; struct complex e[]; float sqrinv;
{
int i, j, k, l, m, index;
m = n / 2 ;
l = 1 ;
do {
k = 0 ;
j = l ;
i = 1 ;
do {
do {
w[i+k].rp = z[i].rp+z[m+i].rp ;
w[i+k].ip = z[i].ip+z[m+i].ip ;
w[i+j].rp = e[k+1].rp*(z[i].rp-z[i+m].rp)
-e[k+1].ip*(z[i].ip-z[i+m].ip) ;
w[i+j].ip = e[k+1].rp*(z[i].ip-z[i+m].ip)
+e[k+1].ip*(z[i].rp-z[i+m].rp) ;
i = i+1 ;
} while ( i <= j );
k = j ;
j = k+l ;
} while ( j <= m );
index = 1;
do {
z[index] = w[index];
index = index+1;
} while ( index <= n );
l = l+l ;
} while ( l <= m );
for ( i = 1; i <= n; i++ )
{
z[i].rp = sqrinv*z[i].rp ;
z[i].ip = -sqrinv*z[i].ip;
} ;
} ;
Oscar()
{
int i;
Exptab(fftsize,e) ;
seed = 5767 ;
for ( i = 1; i <= fftsize; i++ )
{
Uniform11( &seed, &zr );
Uniform11( &seed, &zi );
z[i].rp = 20.0*zr - 10.0;
z[i].ip = 20.0*zi - 10.0;
} ;
for ( i = 1; i <= 20; i++ ) {
Fft(fftsize,z,w,e,0.0625) ;
};
} ;
#ifdef undef
main (argc, argv)
unsigned argc;
char **argv;
{
double t;
double xtimes[11];
int i;
double gm;
extern double pow();
#define TIME(_i, _p) \
{ \
t = Getclock(); \
for (i = 10; i > 0; i -= 1) _p(); \
xtimes[_i] = Getclock() - t; \
}
TIME(1, Perm);
TIME(2, Towers);
TIME(3, Queens);
TIME(4, Intmm);
TIME(5, Puzzle);
TIME(6, Quick);
TIME(7, Bubble);
TIME(8, Trees);
TIME(9, Mm);
TIME(10, Oscar);
for (i = 1; i <= 10; i += 1) xtimes[i] /= 10.0;
fixed = 0.0;
floated = 0.0;
fixed = fixed + permbase*xtimes[1];
floated = floated + permbase*xtimes[1];
fixed = fixed + towersbase*xtimes[2];
floated = floated + towersbase*xtimes[2];
fixed = fixed + queensbase*xtimes[3];
floated = floated + queensbase*xtimes[3];
fixed = fixed + intmmbase*xtimes[4];
floated = floated + intmmbase*xtimes[4];
fixed = fixed + puzzlebase*xtimes[5];
floated = floated + puzzlebase*xtimes[5];
fixed = fixed + quickbase*xtimes[6];
floated = floated + quickbase*xtimes[6];
fixed = fixed + bubblebase*xtimes[7];
floated = floated + bubblebase*xtimes[7];
fixed = fixed + treebase*xtimes[8];
floated = floated + treebase*xtimes[8];
fixed = fixed + mmbase*xtimes[9];
floated = floated + fpmmbase*xtimes[9];
fixed = fixed + fftbase*xtimes[10];
floated = floated + fpfftbase*xtimes[10];
printf(" Perm %7.3f\n", xtimes[1]);
printf(" Towers %7.3f\n", xtimes[2]);
printf(" Queens %7.3f\n", xtimes[3]);
printf(" Intmm %7.3f\n", xtimes[4]);
printf(" Puzzle %7.3f\n", xtimes[5]);
printf(" Quick %7.3f\n", xtimes[6]);
printf(" Bubble %7.3f\n", xtimes[7]);
printf(" Tree %7.3f\n", xtimes[8]);
printf(" Mm %7.3f\n", xtimes[9]);
printf(" FFT %7.3f\n", xtimes[10]);
printf("\n");
printf("Nonfloating point composite is %7.3f\n", fixed);
printf("Floating point composite is %7.3f\n", floated);
gm = 1.0;
for ( i = 1; i <= 8; i++ ) gm *= xtimes[i];
printf("Nonfloating geometric mean is %7.3f\n", pow(gm, 1.0/8.0));
gm = gm * xtimes[9] * xtimes[10];
printf("Geometric mean is %7.3f\n", pow(gm, 1.0/10.0));
}
#endif