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|
/* The purpose of this module is to add faster sort functions
that are type-specific. This is done by altering the
function table for the builtin descriptors.
These sorting functions are copied almost directly from numarray
with a few modifications (complex comparisons compare the imaginary
part if the real parts are equal, for example), and the names
are changed.
*/
/* Quick sort is usually the fastest, but the worst case scenario can
be slower than the merge and heap sorts. The merge sort requires
extra memory and so for large arrays may not be useful.
The merge sort is *stable*, meaning that equal components
are unmoved from their entry versions, so it can be used to
implement lexigraphic sorting on multiple keys.
*/
#include "Python.h"
#include "scipy/arrayobject.h"
#define STDC_LT(a,b) ((a) < (b))
#define STDC_LE(a,b) ((a) <= (b))
#define STDC_EQ(a,b) ((a) == (b))
#define SWAP(a,b) {SWAP_temp = (b); (b)=(a); (a) = SWAP_temp;}
#define NUMC_LT(p,q) ((((p).real==(q).real) ? ((p).imag < (q).imag): ((p).real < (q).real)))
#define NUMC_LE(p,q) ((((p).real==(q).real) ? ((p).imag <= (q).imag): ((p).real <= (q).real)))
#define NUMC_EQ(p,q) (((p).real==(q).real) && ((p).imag == (q).imag))
/**begin repeat
#TYPE=BOOL,BYTE,UBYTE,SHORT,USHORT,INT,UINT,LONG,ULONG,LONGLONG,ULONGLONG,FLOAT,DOUBLE,LONGDOUBLE,CFLOAT,CDOUBLE,CLONGDOUBLE#
#type=Bool,byte,ubyte,short,ushort,int,uint,long,ulong,longlong,ulonglong,float,double,longdouble,cfloat,cdouble,clongdouble#
#lessthan=STDC_LT*14,NUMC_LT*3#
#lessequal=STDC_LE*14,NUMC_LE*3#
**/
static int
@TYPE@_quicksort(@type@ *start, intp num, void *unused)
{
@type@ *pl = start;
@type@ *pr = start + num - 1;
@type@ vp, SWAP_temp;
@type@ *stack[100], **sptr = stack, *pm, *pi, *pj, *pt;
for(;;) {
while ((pr - pl) > 15) {
/* quicksort partition */
pm = pl + ((pr - pl) >> 1);
if (@lessthan@(*pm,*pl)) SWAP(*pm,*pl);
if (@lessthan@(*pr,*pm)) SWAP(*pr,*pm);
if (@lessthan@(*pm,*pl)) SWAP(*pm,*pl);
vp = *pm;
pi = pl;
pj = pr - 1;
SWAP(*pm,*pj);
for(;;) {
do ++pi; while (@lessthan@(*pi,vp));
do --pj; while (@lessthan@(vp,*pj));
if (pi >= pj) break;
SWAP(*pi,*pj);
}
SWAP(*pi,*(pr-1));
/* push largest partition on stack */
if (pi - pl < pr - pi) {
*sptr++ = pi + 1;
*sptr++ = pr;
pr = pi - 1;
}else{
*sptr++ = pl;
*sptr++ = pi - 1;
pl = pi + 1;
}
}
/* insertion sort */
for(pi = pl + 1; pi <= pr; ++pi) {
vp = *pi;
for(pj = pi, pt = pi - 1; \
pj > pl && @lessthan@(vp, *pt);) {
*pj-- = *pt--;
}
*pj = vp;
}
if (sptr == stack) break;
pr = *(--sptr);
pl = *(--sptr);
}
return 0;
}
static int
@TYPE@_aquicksort(@type@ *v, intp* tosort, intp num, void *unused)
{
@type@ vp;
intp *pl, *pr, SWAP_temp;
intp *stack[100], **sptr=stack, *pm, *pi, *pj, *pt, vi;
pl = tosort;
pr = tosort + num - 1;
for(;;) {
while ((pr - pl) > 15) {
/* quicksort partition */
pm = pl + ((pr - pl) >> 1);
if (@lessthan@(v[*pm],v[*pl])) SWAP(*pm,*pl);
if (@lessthan@(v[*pr],v[*pm])) SWAP(*pr,*pm);
if (@lessthan@(v[*pm],v[*pl])) SWAP(*pm,*pl);
vp = v[*pm];
pi = pl;
pj = pr - 1;
SWAP(*pm,*pj);
for(;;) {
do ++pi; while (@lessthan@(v[*pi],vp));
do --pj; while (@lessthan@(vp,v[*pj]));
if (pi >= pj) break;
SWAP(*pi,*pj);
}
SWAP(*pi,*(pr-1));
/* push largest partition on stack */
if (pi - pl < pr - pi) {
*sptr++ = pi + 1;
*sptr++ = pr;
pr = pi - 1;
}else{
*sptr++ = pl;
*sptr++ = pi - 1;
pl = pi + 1;
}
}
/* insertion sort */
for(pi = pl + 1; pi <= pr; ++pi) {
vi = *pi;
vp = v[vi];
for(pj = pi, pt = pi - 1; \
pj > pl && @lessthan@(vp, v[*pt]);)
{
*pj-- = *pt--;
}
*pj = vi;
}
if (sptr == stack) break;
pr = *(--sptr);
pl = *(--sptr);
}
return 0;
}
static int
@TYPE@_heapsort(@type@ *start, intp n, void *unused)
{
@type@ tmp, *a;
intp i,j,l;
/* The array needs to be offset by one for heapsort indexing */
a = start - 1;
for (l = n>>1; l > 0; --l) {
tmp = a[l];
for (i = l, j = l<<1; j <= n;) {
if (j < n && @lessthan@(a[j], a[j+1]))
j += 1;
if (@lessthan@(tmp, a[j])) {
a[i] = a[j];
i = j;
j += j;
}else
break;
}
a[i] = tmp;
}
for (; n > 1;) {
tmp = a[n];
a[n] = a[1];
n -= 1;
for (i = 1, j = 2; j <= n;) {
if (j < n && @lessthan@(a[j], a[j+1]))
j++;
if (@lessthan@(tmp, a[j])) {
a[i] = a[j];
i = j;
j += j;
}else
break;
}
a[i] = tmp;
}
return 0;
}
static int
@TYPE@_aheapsort(@type@ *v, intp *tosort, intp n, void *unused)
{
intp *a, i,j,l, tmp;
/* The arrays need to be offset by one for heapsort indexing */
a = tosort - 1;
for (l = n>>1; l > 0; --l) {
tmp = a[l];
for (i = l, j = l<<1; j <= n;) {
if (j < n && @lessthan@(v[a[j]], v[a[j+1]]))
j += 1;
if (@lessthan@(v[tmp], v[a[j]])) {
a[i] = a[j];
i = j;
j += j;
}else
break;
}
a[i] = tmp;
}
for (; n > 1;) {
tmp = a[n];
a[n] = a[1];
n -= 1;
for (i = 1, j = 2; j <= n;) {
if (j < n && @lessthan@(v[a[j]], v[a[j+1]]))
j++;
if (@lessthan@(v[tmp], v[a[j]])) {
a[i] = a[j];
i = j;
j += j;
}else
break;
}
a[i] = tmp;
}
return 0;
}
static void
@TYPE@_mergesort0(@type@ *pl, @type@ *pr, @type@ *pw)
{
@type@ vp, *pi, *pj, *pk, *pm;
if (pr - pl > 20) {
/* merge sort */
pm = pl + ((pr - pl + 1)>>1);
@TYPE@_mergesort0(pl,pm-1,pw);
@TYPE@_mergesort0(pm,pr,pw);
for(pi = pw, pj = pl; pj < pm; ++pi, ++pj) {
*pi = *pj;
}
for(pk = pw, pm = pl; pk < pi && pj <= pr; ++pm) {
if (@lessequal@(*pk,*pj)) {
*pm = *pk;
++pk;
}else{
*pm = *pj;
++pj;
}
}
for(; pk < pi; ++pm, ++pk) {
*pm = *pk;
}
}else{
/* insertion sort */
for(pi = pl + 1; pi <= pr; ++pi) {
vp = *pi;
for(pj = pi, pk = pi - 1;\
pj > pl && @lessthan@(vp, *pk); --pj, --pk) {
*pj = *pk;
}
*pj = vp;
}
}
}
static int
@TYPE@_mergesort(@type@ *start, intp num, void *unused)
{
@type@ *pl, *pr, *pw;
pl = start; pr = pl + num - 1;
pw = (@type@ *) PyDataMem_NEW(((1+num/2))*sizeof(@type@));
if (!pw) {
PyErr_NoMemory();
return -1;
}
@TYPE@_mergesort0(pl, pr, pw);
PyDataMem_FREE(pw);
return 0;
}
static void
@TYPE@_amergesort0(intp *pl, intp *pr, @type@ *v, intp *pw)
{
@type@ vp;
intp vi, *pi, *pj, *pk, *pm;
if (pr - pl > 20) {
/* merge sort */
pm = pl + ((pr - pl + 1)>>1);
@TYPE@_amergesort0(pl,pm-1,v,pw);
@TYPE@_amergesort0(pm,pr,v,pw);
for(pi = pw, pj = pl; pj < pm; ++pi, ++pj) {
*pi = *pj;
}
for(pk = pw, pm = pl; pk < pi && pj <= pr; ++pm) {
if (@lessequal@(v[*pk],v[*pj])) {
*pm = *pk;
++pk;
}else{
*pm = *pj;
++pj;
}
}
for(; pk < pi; ++pm, ++pk) {
*pm = *pk;
}
}else{
/* insertion sort */
for(pi = pl + 1; pi <= pr; ++pi) {
vi = *pi;
vp = v[vi];
for(pj = pi, pk = pi - 1; \
pj > pl && @lessthan@(vp, v[*pk]); --pj, --pk) {
*pj = *pk;
}
*pj = vi;
}
}
}
static int
@TYPE@_amergesort(@type@ *v, intp *tosort, intp num, void *unused)
{
intp *pl, *pr, *pw;
pl = tosort; pr = pl + num - 1;
pw = PyDimMem_NEW((1+num/2));
if (!pw) {
PyErr_NoMemory();
return -1;
}
@TYPE@_amergesort0(pl, pr, v, pw);
PyDimMem_FREE(pw);
return 0;
}
/**end repeat**/
static int
unincmp(Py_UNICODE *s1, Py_UNICODE *s2, register int len)
{
register Py_UNICODE c1, c2;
while(len-- > 0) {
c1 = *s1++;
c2 = *s2++;
if (c1 != c2)
return (c1 < c2) ? -1 : 1;
}
return 0;
}
/**begin repeat
#TYPE=STRING,UNICODE#
#comp=strncmp,unincmp#
#type=char *, Py_UNICODE *#
*/
static void
@TYPE@_amergesort0(intp *pl, intp *pr, @type@*v, intp *pw, int elsize)
{
@type@ vp;
intp vi, *pi, *pj, *pk, *pm;
if (pr - pl > 20) {
/* merge sort */
pm = pl + ((pr - pl + 1)>>1);
@TYPE@_amergesort0(pl,pm-1,v,pw,elsize);
@TYPE@_amergesort0(pm,pr,v,pw,elsize);
for(pi = pw, pj = pl; pj < pm; ++pi, ++pj) {
*pi = *pj;
}
for(pk = pw, pm = pl; pk < pi && pj <= pr; ++pm) {
if (@comp@(v[*pk],v[*pj],elsize)<=0) {
*pm = *pk;
++pk;
}else{
*pm = *pj;
++pj;
}
}
for(; pk < pi; ++pm, ++pk) {
*pm = *pk;
}
}else{
/* insertion sort */
for(pi = pl + 1; pi <= pr; ++pi) {
vi = *pi;
vp = v[vi];
for(pj = pi, pk = pi - 1; \
pj > pl && (@comp@(vp, v[*pk],elsize)<=0); \
--pj, --pk) {
*pj = *pk;
}
*pj = vi;
}
}
}
static int
@TYPE@_amergesort(@type@*v, intp *tosort, intp num, PyArrayObject *arr)
{
intp *pl, *pr, *pw;
int elsize;
elsize = arr->descr->elsize;
pl = tosort; pr = pl + num - 1;
pw = PyDimMem_NEW((1+num/2));
if (!pw) {
PyErr_NoMemory();
return -1;
}
@TYPE@_amergesort0(pl, pr, v, pw, elsize);
PyDimMem_FREE(pw);
return 0;
}
/**end repeat**/
static void
add_sortfuncs(void)
{
PyArray_Descr *descr;
/**begin repeat
#TYPE=BOOL,BYTE,UBYTE,SHORT,USHORT,INT,UINT,LONG,ULONG,LONGLONG,ULONGLONG,FLOAT,DOUBLE,LONGDOUBLE,CFLOAT,CDOUBLE,CLONGDOUBLE#
**/
descr = PyArray_DescrFromType(PyArray_@TYPE@);
descr->f->sort[PyArray_QUICKSORT] = \
(PyArray_SortFunc *)@TYPE@_quicksort;
descr->f->argsort[PyArray_QUICKSORT] = \
(PyArray_ArgSortFunc *)@TYPE@_aquicksort;
descr->f->sort[PyArray_HEAPSORT] = \
(PyArray_SortFunc *)@TYPE@_heapsort;
descr->f->argsort[PyArray_HEAPSORT] = \
(PyArray_ArgSortFunc *)@TYPE@_aheapsort;
descr->f->sort[PyArray_MERGESORT] = \
(PyArray_SortFunc *)@TYPE@_mergesort;
descr->f->argsort[PyArray_MERGESORT] = \
(PyArray_ArgSortFunc *)@TYPE@_amergesort;
/**end repeat**/
descr = PyArray_DescrFromType(PyArray_STRING);
descr->f->argsort[PyArray_MERGESORT] = \
(PyArray_ArgSortFunc *)STRING_amergesort;
descr = PyArray_DescrFromType(PyArray_UNICODE);
descr->f->argsort[PyArray_MERGESORT] = \
(PyArray_ArgSortFunc *)UNICODE_amergesort;
}
static struct PyMethodDef methods[] = {
{NULL, NULL, 0}
};
PyMODINIT_FUNC
init_sort(void) {
PyObject *m;
m = Py_InitModule("_sort", methods);
if (import_array() < 0) return;
add_sortfuncs();
}
|
