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arrind.c
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//arrind.c - Arrays, indirect.
#include <stdarg.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "ppnarg.h" //https://github.com/luser-dr00g/inca/blob/master/ppnarg.h
/* the array header data structure */
typedef struct arr {
int rank; // number of dimensions
int *dims; // size of each dimension
int *weight; // corresponding coefficient in the indexing formula
int *data; // address of first array element
} *arr;
/* helper functions */
/* multiply together rank integers in dims array */
int productdims(int rank, int *dims);
/* load rank integers from va_list into int[] dims */
void loaddimsv(int rank, int dims[], va_list ap);
/* constructor functions */
/* create a new array with specified dimensions */
#define array(...) (array)(PP_NARG(__VA_ARGS__),__VA_ARGS__)
/* create a new self-contained array
with specified rank and dimensions */
arr (array)(int rank, ...);
/* create a new self-contained array
with specified rank and int[] dims */
arr arraya(int rank, int dims[]);
/* create an array header to access
existing data in multidimensional layout */
arr casta(int *data, int rank, int dims[]);
arr cast(int *data, int rank, ...);
/* create a an array header which shares the data of an existing array */
arr clone(arr a);
/* create a new self-contained (contiguous) copy
of a (not necessarily contiguous) existing array */
arr copy(arr a);
/* manipulation */
/* exchange the leftmost two dimensions (only two in 2D) */
void transpose2(arr a);
/* rotate dims and weights according to sign and magnitude of shift
transpose(1,a)==transpose(-1,a)==transpose2(a) for 2D */
void transpose(int shift, arr a);
/* select new order of dimensions according to spec[] instructions */
void transposea(arr a, int spec[]);
/* take a (row) slice (in 2D) */
arr slice(arr a, int i);
/* take a computed slice of a following spec[] instructions */
arr slicea(arr a, int spec[]);
/* select one or more or all indices from dimensions from s[] to f[] */
arr slices(arr a, int s[], int f[]);
/* prepend extra unit dimensions to a */
arr extend(arr a, int extra);
/* accessing */
/* access element of a indexed by int[] */
int *elema(arr a, int *ind);
/* access element of a indexed by va_list */
int *elemv(arr a, va_list ap);
/* access element of a indexed by integer arguments */
int *elem(arr a, ...);
/* converting index formats */
/* compute vector index list for ravel index ind */
int *vector_index(int ind, int *dims, int n, int *vec);
/* compute ravel index for vector index list */
int ravel_index(int *vec, int *dims, int n);
/* utility */
/* create a vector of all elements of x followed by all elements of y */
arr catv(arr x, arr y);
/* generate an index vector 0..n-1 */
arr iota(int n);
/* math functions */
/* operators defined for F and G arguments of binop, reduce, matmul */
#define OPERATORS(_) \
/* f F id */ \
_('+',+, 0) \
_('*',*, 1) \
_('=',==,1) \
/**/
/* perform binary operation F upon corresponding elements of vectors X and Y */
#define binop(X,F,Y) (binop)(X,*#F,Y)
arr (binop)(arr x, char f, arr y);
/* perform binary operation F upon adjacent elements of vector X,
right to left, reducing vector to a single value */
#define reduce(F,X) (reduce)(*#F,X)
int (reduce)(char f, arr a);
/* perform a (2D) matrix multiplication upon rows of x
and columns of y using operations F and G.
more generally, perform an inner product
on arguments of compatible dimension. */
#define matmul(X,F,G,Y) (matmul)(X,*#F,*#G,Y)
arr (matmul)(arr x, char f, char g, arr y);
/* multiply together rank integers in dims array */
int productdims(int rank, int *dims){
int i,z=1;
for(i=0; i<rank; i++)
z *= dims[i];
return z;
}
/* create array given rank and int[] dims */
arr arraya(int rank, int dims[]){
int datasz;
int i;
int x;
arr z;
datasz=productdims(rank,dims);
z=malloc(sizeof(struct arr)
+ (rank+rank+datasz)*sizeof(int));
z->rank = rank;
z->dims = (int*)(((char*)z) + sizeof(struct arr));
z->weight = z->dims + rank;
z->data = z->weight + rank;
memmove(z->dims,dims,rank*sizeof(int));
for(x=1, i=rank-1; i>=0; i--){
z->weight[i] = x;
x *= z->dims[i];
}
return z;
}
/* load rank integers from va_list into int[] dims */
void loaddimsv(int rank, int dims[], va_list ap){
int i;
for (i=0; i<rank; i++){
dims[i]=va_arg(ap,int);
}
}
/* create a new array with specified rank and dimensions */
arr (array)(int rank, ...){
va_list ap;
//int *dims=calloc(rank,sizeof(int));
int dims[rank];
int i;
int x;
arr z;
va_start(ap,rank);
loaddimsv(rank,dims,ap);
va_end(ap);
z = arraya(rank,dims);
//free(dims);
return z;
}
/* create an array header to access existing data in multidimensional layout */
arr casta(int *data, int rank, int dims[]){
int i,x;
arr z=malloc(sizeof(struct arr)
+ (rank+rank)*sizeof(int));
z->rank = rank;
z->dims = (int *)(((char *)z) + sizeof(struct arr));
z->weight = z->dims + rank;
z->data = data;
memmove(z->dims,dims,rank*sizeof(int));
for(x=1, i=rank-1; i>=0; i--){
z->weight[i] = x;
x *= z->dims[i];
}
return z;
}
/* create an array header to access existing data in multidimensional layout */
arr cast(int *data, int rank, ...){
va_list ap;
int dims[rank];
int i;
int x;
arr z;
va_start(ap,rank);
loaddimsv(rank,dims,ap);
va_end(ap);
return casta(data, rank, dims);
}
/* create a new array which shares the data of an existing array */
arr clone(arr a){
arr z=malloc(sizeof(struct arr)
+ (a->rank+a->rank)*sizeof(int));
z->rank = a->rank;
z->dims = (int*)(((char*)z) + sizeof(struct arr));
z->weight = z->dims + z->rank;
z->data = a->data;
memmove(z->dims,a->dims,z->rank*sizeof(int));
memmove(z->weight,a->weight,z->rank*sizeof(int));
return z;
}
/* exchange the leftmost two dimensions (only two in 2D) */
void transpose2(arr a){
int t;
//if (a->rank != 2) error();
t = a->dims[0]; a->dims[0] = a->dims[1]; a->dims[1] = t;
t = a->weight[0]; a->weight[0] = a->weight[1]; a->weight[1] = t;
}
/* rotate dims and weights according to sign and magnitude of shift
transpose(1,a)==transpose(-1,a)==transpose2(a) for 2D */
void transpose(int shift, arr a){
int i;
int t;
while(shift){
if (shift>0){
t=a->dims[0];
for (i=1; i<a->rank; i++)
a->dims[i-1]=a->dims[i];
a->dims[a->rank-1]=t;
t=a->weight[0];
for (i=1; i<a->rank; i++)
a->weight[i-1]=a->weight[i];
a->weight[a->rank-1]=t;
--shift;
} else {
t=a->dims[a->rank-1];
for (i=a->rank-2; i>=0; i--)
a->dims[i+1]=a->dims[i];
a->dims[0]=t;
t=a->weight[a->rank-1];
for (i=a->rank-2; i>=0; i--)
a->weight[i+1]=a->weight[i];
a->weight[0]=t;
++shift;
}
}
}
/* select new order of dimensions according to spec[] instructions */
void transposea(arr a, int spec[]){
int dims[a->rank];
int weight[a->rank];
int i;
for (i=0; i<a->rank; i++){
dims[i] = a->dims[spec[i]];
weight[i] = a->dims[spec[i]];
}
memcpy(a->dims,dims,a->rank*sizeof(int));
memcpy(a->weight,weight,a->rank*sizeof(int));
}
/* take a (row) slice (in 2D) */
arr slice(arr a, int i){
int rank = a->rank-1;
arr z=malloc(sizeof(struct arr)
+ (rank+rank)*sizeof(int));
z->rank = rank;
z->dims = (int*)(((char*)z) + sizeof(struct arr));
z->weight = z->dims + z->rank;
memcpy(z->dims,a->dims+1,z->rank*sizeof(int));
memcpy(z->weight,a->weight+1,z->rank*sizeof(int));
z->data = a->data + i*a->weight[0];
return z;
}
/* take a computed slice of a following spec[] instructions
if spec[i] >= 0 and spec[i] < a->rank, then spec[i] selects
that index from dimension i.
if spec[i] == -1, then spec[i] selects the entire dimension i.
*/
arr slicea(arr a, int spec[]){
int i,j;
int rank;
for (i=0,rank=0; i<a->rank; i++)
rank+=spec[i]==-1;
int dims[rank];
int weight[rank];
for (i=0,j=0; i<rank; i++,j++){
while (spec[j]!=-1) j++;
if (j>=a->rank) break;
dims[i] = a->dims[j];
weight[i] = a->weight[j];
}
arr z = casta(a->data, rank, dims);
memcpy(z->weight,weight,rank*sizeof(int));
for (j=0; j<a->rank; j++){
if (spec[j]!=-1)
z->data += spec[j] * a->weight[j];
}
return z;
}
/* select one or more or all indices from dimensions from s[] to f[] */
arr slices(arr a, int s[], int f[]){
int rank=0;
int i;
for (i=0; i<a->rank; i++){
rank += s[i] != f[i];
}
int dims[rank];
int weight[rank];
int j=0;
for (i=0; i<rank; i++){
while (s[j]==f[j]) ++j;
dims[i] = 1 + ( s[j]<f[j] ? f[j]-s[j] : s[j]-f[j] );
weight[i] = s[j]<f[j] ? a->weight[j] : -a->weight[j];
++j;
}
arr z = casta(a->data, rank, dims);
memcpy(z->weight, weight, rank*sizeof(int));
for (i=0; i<a->rank; i++){
z->data += s[i] * a->weight[i];
}
return z;
}
/* prepend extra unit dimensions to a */
arr extend(arr a, int extra){
int rank = a->rank + extra;
int dims[rank];
int i;
for (i=0; i<extra; i++)
dims[i] = 1;
memcpy(dims+extra, a->dims, a->rank*sizeof(int));
return casta(a->data, rank, dims);
}
/* access element of a indexed by int[] */
int *elema(arr a, int *ind){
int idx = 0;
int i;
for (i=0; i<a->rank; i++){
idx += ind[i] * a->weight[i];
}
return a->data + idx;
}
/* access element of a indexed by va_list */
int *elemv(arr a, va_list ap){
int idx = 0;
int i;
for(i=0; i<a->rank; i++){
int ind;
ind = va_arg(ap,int);
//if (ind > a->dims[i]) error();
idx += ind * a->weight[i];
}
return a->data + idx;
}
/* access element of a indexed by integer arguments */
int *elem(arr a, ...){
va_list ap;
int *z;
va_start(ap,a);
z = elemv(a,ap);
va_end(ap);
return z;
}
/* compute vector index list for ravel index ind */
int *vector_index(int ind, int *dims, int n, int *vec){
int i,t=ind, *z=vec;
for (i=0; i<n; i++){
z[n-1-i] = t % dims[n-1-i];
t /= dims[n-1-i];
}
return z;
}
/* compute ravel index for vector index list */
int ravel_index(int *vec, int *dims, int n){
int i,z=*vec;
for (i=0; i<n-1;i++){
z*=dims[i+1];
z+=vec[i+1];
}
return z;
}
/* create a vector of all elements of x followed by all elements of y */
arr catv(arr x, arr y){
int xsz = productdims(x->rank,x->dims);
int ysz = productdims(y->rank,y->dims);
int datasz = xsz + ysz;
arr z=array(datasz);
int scratch[x->rank+y->rank];
int i;
for (i=0; i<xsz; i++)
*elem(z,i) = *elema(x,vector_index(i,x->dims,x->rank,scratch));
for (i=0; i<ysz; i++)
*elem(z,xsz+i) = *elema(y,vector_index(i,y->dims,y->rank,scratch));
return z;
}
/* create a (contiguous) copy of a (not necessarily contiguous) existing array */
arr copy(arr a){
int datasz = productdims(a->rank,a->dims);
arr z=malloc(sizeof(struct arr)
+ (a->rank+a->rank+datasz)*sizeof(int));
int i;
int x;
int ind[a->rank];
z->rank = a->rank;
z->dims = (int*)(((char*)z) + sizeof(struct arr));
z->weight = z->dims + z->rank;
z->data = z->weight + z->rank;
memmove(z->dims,a->dims,z->rank*sizeof(int));
for(x=1, i=z->rank-1; i>=0; i--){
z->weight[i] = x;
x *= z->dims[i];
}
for (i=0;i<datasz;i++){
vector_index(i,z->dims,z->rank,ind);
z->data[i] = *elema(a,ind);
}
return z;
}
/* perform binary operation F upon corresponding elements of vectors X and Y */
#define BINOP(f,F,id) case f: *elem(z,i) = *elem(x,i) F *elem(y,i); break;
arr (binop)(arr x, char f, arr y){
arr z=copy(x);
int n=x->dims[0];
int i;
for (i=0; i<n; i++){
switch(f){
OPERATORS(BINOP)
}
}
return z;
}
#undef BINOP
/* perform binary operation F upon adjacent elements of vector X, right to left,
reducing vector to a single value */
#define REDID(f,F,id) case f: x = id; break;
#define REDOP(f,F,id) case f: x = *elem(a,i) F x; break;
int (reduce)(char f, arr a){
int n = a->dims[0];
int x;
int i;
switch(f){
OPERATORS(REDID)
}
if (n) {
x=*elem(a,n-1);
for (i=n-2;i>=0;i--){
switch(f){
OPERATORS(REDOP)
}
}
}
return x;
}
#undef REDID
#undef REDOP
/* perform a (2D) matrix multiplication upon rows of x and columns of y
using operations F and G.
Z = X F.G Y
Z[i,j] = F/ X[i,*] G Y'[j,*]
more generally,
perform an inner product on arguments of compatible dimension.
Z = X[A;B;C;D;E;F] +.* Y[G;H;I;J;K] |(F = G)
Z[A;B;C;D;E;H;I;J;K] = +/ X[A;B;C;D;E;*] * Y[*;H;I;J;K]
*/
arr (matmul)(arr x, char f, char g, arr y){
int i,j;
arr xdims = cast(x->dims,1,x->rank);
arr ydims = cast(y->dims,1,y->rank);
xdims->dims[0]--;
ydims->dims[0]--;
ydims->data++;
arr z=arraya(x->rank+y->rank-2,catv(xdims,ydims)->data);
int datasz = productdims(z->rank,z->dims);
int k=y->dims[0];
arr xs = NULL;
arr ys = NULL;
for (i=0; i<datasz; i++){
int idx[x->rank+y->rank];
vector_index(i,z->dims,z->rank,idx);
int *xdex=idx;
int *ydex=idx+x->rank-1;
memmove(ydex+1,ydex,y->rank);
xdex[x->rank-1] = -1;
free(xs);
free(ys);
xs = slicea(x,xdex);
ys = slicea(y,ydex);
z->data[i] = (reduce)(f,(binop)(xs,g,ys));
}
free(xs);
free(ys);
free(xdims);
free(ydims);
return z;
}
/* generate an index vector 0..n-1 */
arr iota(int n){
arr z = array(n);
int i;
for (i=0;i<n;i++)
*elem(z,i)=i;
return z;
}
int iscontiguous(arr a){
int i,x;
for (i=a->rank-1,x=1; i>=0; i--){
if (a->weight[i] != x)
return 0;
x *= a->dims[i];
}
return 1;
}
void print(arr a, int width){
int i;
int maxwidth;
int freecopy = 0;
if (width){
maxwidth=width;
} else {
int datasz = productdims(a->rank,a->dims);
if (!iscontiguous(a)) {
a = copy(a);
freecopy = 1;
}
maxwidth=0;
for (i=0; i<datasz; i++){
int size = snprintf(NULL,0,"%d",a->data[i]);
if (size > maxwidth)
maxwidth = size;
}
}
switch(a->rank){
case 0: printf("%*d\n", maxwidth, *a->data);
break;
case 1: for (i=0; i<a->dims[0]; i++)
printf("%*d ", maxwidth, *elem(a,i));
if (width==0) /* is this the top-level call? */
printf("\n");
break;
default:
for (i=0; i<a->dims[0]; i++){
arr as = slice(a,i);
print(as,maxwidth);
printf("\n");
free(as);
}
break;
}
if (freecopy)
free(a);
}
int main(){
#ifdef TEST_BASIC
/* testing basic functionality and copies, transposes, and slices */
int loop;
for (loop = 0;
loop < 1/*00000*/;
loop++)
{
{
int i,n=12;
arr a=array(n);
for (i=0;i<n;i++)
*elem(a,i) = n-i;
for (i=0;i<n;i++,printf(" "))
printf("%2d",*elem(a,i));
printf("\n\n");
free(a);
}
{
int i,j,n=6;
arr a=array(n,n);
arr b;
for (i=0;i<n;i++)
for (j=0;j<n;j++)
*elem(a,i,j) = n*n - (i*n+j);
for (i=0;i<n;i++,printf("\n"))
for (j=0;j<n;j++,printf(" "))
printf("%2d",*elem(a,i,j));
printf("\n");
b=clone(a);
transpose2(b);
for (i=0;i<n;i++,printf("\n"))
for (j=0;j<n;j++,printf(" "))
printf("%2d",*elem(b,i,j));
printf("\n");
free(b);
free(a);
}
{
int i,j,k,n=3;
arr a=array(n,n,n);
arr b;
arr c;
arr d;
for (i=0;i<n;i++)
for (j=0;j<n;j++)
for (k=0;k<n;k++)
*elem(a,i,j,k) = n*n*n - ((i*n+j)*n+k);
for (i=0;i<n;i++,printf("\n"))
for (j=0;j<n;j++,printf("\n"))
for (k=0;k<n;k++,printf(" "))
printf("%2d",*elem(a,i,j,k));
printf("\n");
/*
b=slice(a,0);
transpose2(b);
for (i=0;i<n;i++)
for (j=0;j<n;j++)
*elem(b,i,j) = n*n - (i*n+j);
for (i=0;i<n;i++,printf("\n"))
for (j=0;j<n;j++,printf("\n"))
for (k=0;k<n;k++,printf(" "))
printf("%2d",*elem(a,i,j,k));
printf("\n");
free(b);
*/
b=clone(a);
transpose2(b);
c=slice(b,1);
transpose2(c);
for (i=0;i<n;i++)
for (j=0;j<n;j++)
*elem(c,i,j) = n*n - (i*n+j);
for (i=0;i<n;i++,printf("\n"))
for (j=0;j<n;j++,printf("\n"))
for (k=0;k<n;k++,printf(" "))
printf("%2d",*elem(b,i,j,k));
printf("\n");
//d = copy(a);
d = copy(b);
for (i=0; i<n*n*n; i++){
printf("%2d", d->data[i]);
printf(" ");
if (((i+1)%n)==0) printf("\n");
if (((i+1)%(n*n))==0) printf("\n");
}
free(a);
free(b);
free(c);
free(d);
}
}
#endif
#ifdef TEST_MATMUL
{ /* testing reduce() */
int i,n=3;
arr a=array(n);
arr b;
for (i=0; i<n; i++)
*elem(a,i) = i+1;
printf("%2d\n", reduce(*,a));
free(a);
n=6;
a=array(n);
for (i=0; i<n; i++)
*elem(a,i) = 5;
b=binop(a,=,a);
for (i=0; i<n; i++,printf(" "))
printf("%2d", *elem(b,i));
printf("\n%2d\n", reduce(=,b));
free(a);
free(b);
}
{ /* testing matmul() */
int i,j,n=3;
arr a=array(n,n);
arr b;
for (i=0;i<n;i++)
for (j=0;j<n;j++)
*elem(a,i,j) = ((i*n)+j)+1;
for (i=0;i<n;i++,printf("\n"))
for (j=0;j<n;j++,printf(" "))
printf("%3d",*elem(a,i,j));
printf("\n");
b = matmul(a,+,*,a);
for (i=0;i<n;i++,printf("\n"))
for (j=0;j<n;j++,printf(" "))
printf("%3d",*elem(b,i,j));
printf("\n");
free(a);
free(b);
}
{ /* testing matmul with higher dimensional arrays */
int i,j,k,l,n=2;
arr a=iota(n*n*n);
arr b=cast(a->data,3,n,n,n);
for (i=0; i<b->dims[0]; i++,printf("\n"))
for (j=0; j<b->dims[1]; j++,printf("\n"))
for (k=0; k<b->dims[2]; k++,printf(" "))
printf("%3d", *elem(b,i,j,k));
printf("\n");
arr c=matmul(b,+,*,b);
printf("%d\n",c->rank);
for (i=0; i<c->rank; i++,printf(" "))
printf("%d",c->dims[i]);
printf("\n");
for (i=0; i<c->dims[0]; i++,printf("\n"))
for (j=0; j<c->dims[1]; j++,printf("\n"))
for (k=0; k<c->dims[2]; k++,printf("\n"))
for (l=0; l<c->dims[3]; l++,printf(" "))
printf("%3d", *elem(c,i,j,k,l));
printf("\n");
free(a);
free(b);
free(c);
}
#endif
#ifdef TEST_CAST
{ /* testing cast() */
int i,j,k,n=3;
int q[n][n][n];
arr a=cast((int *)q,3,n,n,n);
for (i=0;i<n;i++)
for (j=0;j<n;j++)
for (k=0;k<n;k++)
*elem(a,i,j,k) = n*n*n - ((i*n+j)*n+k);
for (i=0;i<n;i++,printf("\n"))
for (j=0;j<n;j++,printf("\n"))
for (k=0;k<n;k++,printf(" "))
printf("%2d",*elem(a,i,j,k));
printf("\n");
for (i=0;i<n;i++,printf("\n"))
for (j=0;j<n;j++,printf("\n"))
for (k=0;k<n;k++,printf(" "))
printf("%2d", q[i][j][k]);
printf("\n");
free(a);
}
#endif
#ifdef TEST_IOTA
{
arr a=iota(12);
arr b=catv(a,a);
int i;
for (i=0;i<b->dims[0];i++,printf(" "))
printf("%2d", *elem(b,i));
printf("\n");
arr c=cast(b->data,3,2,3,4);
int j,k;
for (i=0; i<2; i++,printf("\n"))
for (j=0; j<3; j++,printf("\n"))
for (k=0; k<4; k++,printf(" "))
printf("%2d", *elem(c,i,j,k));
free(a);
free(b);
free(c);
}
#endif
#ifdef TEST_SLICE
{
int n=4;
arr a=iota(n*n*n);
arr b=cast(a->data, 3, n,n,n);
arr c=NULL;
int i,j,k;
#if 0
for (i=0; i<n; i++,printf("\n"))
for (j=0; j<n; j++,printf("\n"))
for (k=0; k<n; k++,printf(" "))
printf("%2d", *elem(b,i,j,k));
printf("\n");
#endif
for (k=0; k<n; k++){
free(c);
c=slicea(b,(int[]){k,-1,-1});
printf("%d;-1;-1\n",k);
for (i=0; i<n; i++,printf("\n"))
for (j=0; j<n; j++,printf(" "))
printf("%2d", *elem(c,i,j));
printf("\n");
}
for (k=0; k<n; k++){
free(c);
c=slicea(b,(int[]){-1,0,k});
printf("-1;0;%d\n",k);
printf("d:%d w:%d\n", c->dims[0], c->weight[0]);
for (i=0; i<n; i++,printf(" "))
printf("%2d", *elem(c,i));
printf("\n");
}
for (k=0; k<n; k++){
free(c);
c=slicea(b,(int[]){-1,k,0});
printf("-1;%d;0\n",k);
for (i=0; i<n; i++,printf(" "))
printf("%2d", *elem(c,i));
printf("\n");
}
for (k=0; k<n; k++){
free(c);
c=slicea(b,(int[]){k,-1,k});
printf("%d;-1;%d\n",k,k);
for (i=0; i<n; i++,printf(" "))
printf("%2d", *elem(c,i));
printf("\n");
}
for (k=0; k<n; k++){
free(c);
c=slicea(b,(int[]){k,k,k});
printf("%d;%d;%d\n",k,k,k);
printf("%2d", *elem(c));
printf("\n");
}
free(a);
free(b);
free(c);
}
#endif
#ifdef TEST_PRINT
{
arr a = iota(27);
arr b = casta(a->data, 3, (int[]){3,3,3});
print(b,0);
free(b);
free(a);
a = iota(64);
b = casta(a->data, 4, (int[]){2,2,2,2});
print(b,0);
free(b);
free(a);
a = iota(12);
print(a,0);
b = casta(a->data, 2, (int[]){3,4});
print(b,0);
free(b);
free(a);
}
#endif
#ifdef TEST_NEWFUNCS
{
arr a = iota(27);
print(a,0);
arr b = cast(a->data, 3, 3,3,3);
print(b,0);
arr c = slices(b, (int[]){1,1,1}, (int[]){1,2,0});
print(c,0);
arr d = clone(b);
transposea(d,(int[]){2,1,0});
print(d,0);
}
#endif
return 0;
}