Workshop o mikrokontrolérech na SKSP 2024.
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/*
* Experiments with various sorting algorithms
*
* (c) 2007--2008 Martin Mares <mj@ucw.cz>
*/
#include <ucw/lib.h>
#include <ucw/getopt.h>
#include <ucw/md5.h>
#include <ucw/heap.h>
#include <ucw/time.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <sys/mman.h>
#include <sys/user.h>
struct elt {
u32 key;
u32 ballast[3];
};
static struct elt *ary, *alt, **ind, *array0, *array1;
static uint n = 10000000;
static u32 sum;
static struct elt *alloc_elts(uint n)
{
return big_alloc(n * sizeof(struct elt));
}
static void free_elts(struct elt *a, uint n)
{
big_free(a, n * sizeof(struct elt));
}
static int comp(const void *x, const void *y)
{
const struct elt *xx = x, *yy = y;
return (xx->key < yy->key) ? -1 : (xx->key > yy->key) ? 1 : 0;
}
static int comp_ind(const void *x, const void *y)
{
const struct elt * const *xx = x, * const *yy = y;
return comp(*xx, *yy);
}
#define ASORT_PREFIX(x) as_##x
#define ASORT_KEY_TYPE u32
#define ASORT_ELT(i) a[i].key
#define ASORT_SWAP(i,j) do { struct elt t=a[i]; a[i]=a[j]; a[j]=t; } while (0)
#define ASORT_EXTRA_ARGS , struct elt *a
#include <ucw/sorter/array-simple.h>
#define ASORT_PREFIX(x) asi_##x
#define ASORT_KEY_TYPE u32
#define ASORT_ELT(i) ind[i]->key
#define ASORT_SWAP(i,j) do { struct elt *t=ind[i]; ind[i]=ind[j]; ind[j]=t; } while (0)
#include <ucw/sorter/array-simple.h>
static void r1_sort(void)
{
struct elt *from = ary, *to = alt, *tmp;
#define BITS 8
uint cnt[1 << BITS];
for (uint sh=0; sh<32; sh+=BITS)
{
bzero(cnt, sizeof(cnt));
for (uint i=0; i<n; i++)
cnt[(from[i].key >> sh) & ((1 << BITS) - 1)]++;
uint pos = 0;
for (uint i=0; i<(1<<BITS); i++)
{
uint c = cnt[i];
cnt[i] = pos;
pos += c;
}
ASSERT(pos == n);
for (uint i=0; i<n; i++)
to[cnt[(from[i].key >> sh) & ((1 << BITS) - 1)]++] = from[i];
ASSERT(cnt[(1 << BITS)-1] == n);
tmp=from, from=to, to=tmp;
}
ary = from;
#undef BITS
}
static void r1b_sort(void)
{
struct elt *from = ary, *to = alt, *tmp;
#define BITS 8
uint cnt[1 << BITS], cnt2[1 << BITS];
for (uint sh=0; sh<32; sh+=BITS)
{
if (sh)
memcpy(cnt, cnt2, sizeof(cnt));
else
{
bzero(cnt, sizeof(cnt));
for (uint i=0; i<n; i++)
cnt[(from[i].key >> sh) & ((1 << BITS) - 1)]++;
}
uint pos = 0;
for (uint i=0; i<(1<<BITS); i++)
{
uint c = cnt[i];
cnt[i] = pos;
pos += c;
}
ASSERT(pos == n);
bzero(cnt2, sizeof(cnt2));
for (uint i=0; i<n; i++)
{
cnt2[(from[i].key >> (sh + BITS)) & ((1 << BITS) - 1)]++;
to[cnt[(from[i].key >> sh) & ((1 << BITS) - 1)]++] = from[i];
}
ASSERT(cnt[(1 << BITS)-1] == n);
tmp=from, from=to, to=tmp;
}
ary = from;
#undef BITS
}
static void r1c_sort(void)
{
uint cnt[256];
struct elt *ptrs[256], *x, *lim;
x = ary; lim = ary + n;
bzero(cnt, sizeof(cnt));
while (x < lim)
cnt[x++->key & 255]++;
#define PTRS(start) x=start; for (uint i=0; i<256; i++) { ptrs[i]=x; x+=cnt[i]; }
PTRS(alt);
x = ary; lim = ary + n;
bzero(cnt, sizeof(cnt));
while (x < lim)
{
cnt[(x->key >> 8) & 255]++;
*ptrs[x->key & 255]++ = *x;
x++;
}
PTRS(ary);
x = alt; lim = alt + n;
bzero(cnt, sizeof(cnt));
while (x < lim)
{
cnt[(x->key >> 16) & 255]++;
*ptrs[(x->key >> 8) & 255]++ = *x;
x++;
}
PTRS(alt);
x = ary; lim = ary + n;
bzero(cnt, sizeof(cnt));
while (x < lim)
{
cnt[(x->key >> 24) & 255]++;
*ptrs[(x->key >> 16) & 255]++ = *x;
x++;
}
PTRS(ary);
x = alt; lim = alt + n;
while (x < lim)
{
*ptrs[(x->key >> 24) & 255]++ = *x;
x++;
}
#undef PTRS
}
#include <emmintrin.h>
static inline void sse_copy_elt(struct elt *to, struct elt *from)
{
__m128i m = _mm_load_si128((__m128i *) from);
_mm_store_si128((__m128i *) to, m);
}
static void r1c_sse_sort(void)
{
uint cnt[256];
struct elt *ptrs[256], *x, *lim;
ASSERT(sizeof(struct elt) == 16);
ASSERT(!((uintptr_t)alt & 15));
ASSERT(!((uintptr_t)ary & 15));
x = ary; lim = ary + n;
bzero(cnt, sizeof(cnt));
while (x < lim)
cnt[x++->key & 255]++;
#define PTRS(start) x=start; for (uint i=0; i<256; i++) { ptrs[i]=x; x+=cnt[i]; }
PTRS(alt);
x = ary; lim = ary + n;
bzero(cnt, sizeof(cnt));
while (x < lim)
{
cnt[(x->key >> 8) & 255]++;
sse_copy_elt(ptrs[x->key & 255]++, x);
x++;
}
PTRS(ary);
x = alt; lim = alt + n;
bzero(cnt, sizeof(cnt));
while (x < lim)
{
cnt[(x->key >> 16) & 255]++;
sse_copy_elt(ptrs[(x->key >> 8) & 255]++, x);
x++;
}
PTRS(alt);
x = ary; lim = ary + n;
bzero(cnt, sizeof(cnt));
while (x < lim)
{
cnt[(x->key >> 24) & 255]++;
sse_copy_elt(ptrs[(x->key >> 16) & 255]++, x);
x++;
}
PTRS(ary);
x = alt; lim = alt + n;
while (x < lim)
{
sse_copy_elt(ptrs[(x->key >> 24) & 255]++, x);
x++;
}
#undef PTRS
}
static void r1d_sort(void)
{
uint cnt[256];
struct elt *ptrs[256], *x, *y, *lim;
ASSERT(!(n % 4));
x = ary; lim = ary + n;
bzero(cnt, sizeof(cnt));
while (x < lim)
{
cnt[x++->key & 255]++;
cnt[x++->key & 255]++;
cnt[x++->key & 255]++;
cnt[x++->key & 255]++;
}
#define PTRS(start) x=start; for (uint i=0; i<256; i++) { ptrs[i]=x; x+=cnt[i]; }
PTRS(alt);
x = ary; y = ary+n/2; lim = ary + n/2;
bzero(cnt, sizeof(cnt));
while (x < lim)
{
cnt[(x->key >> 8) & 255]++;
cnt[(y->key >> 8) & 255]++;
*ptrs[x->key & 255]++ = *x;
*ptrs[y->key & 255]++ = *y;
x++, y++;
cnt[(x->key >> 8) & 255]++;
cnt[(y->key >> 8) & 255]++;
*ptrs[x->key & 255]++ = *x;
*ptrs[y->key & 255]++ = *y;
x++, y++;
}
PTRS(ary);
x = alt; lim = alt + n;
bzero(cnt, sizeof(cnt));
while (x < lim)
{
cnt[(x->key >> 16) & 255]++;
*ptrs[(x->key >> 8) & 255]++ = *x;
x++;
cnt[(x->key >> 16) & 255]++;
*ptrs[(x->key >> 8) & 255]++ = *x;
x++;
}
PTRS(alt);
x = ary; lim = ary + n;
bzero(cnt, sizeof(cnt));
while (x < lim)
{
cnt[(x->key >> 24) & 255]++;
*ptrs[(x->key >> 16) & 255]++ = *x;
x++;
cnt[(x->key >> 24) & 255]++;
*ptrs[(x->key >> 16) & 255]++ = *x;
x++;
}
PTRS(ary);
x = alt; lim = alt + n;
while (x < lim)
{
*ptrs[(x->key >> 24) & 255]++ = *x;
x++;
*ptrs[(x->key >> 24) & 255]++ = *x;
x++;
}
#undef PTRS
}
static void r2_sort(void)
{
struct elt *from = ary, *to = alt;
#define BITS 14
uint cnt[1 << BITS];
bzero(cnt, sizeof(cnt));
for (uint i=0; i<n; i++)
cnt[(from[i].key >> (32 - BITS)) & ((1 << BITS) - 1)]++;
uint pos = 0;
for (uint i=0; i<(1<<BITS); i++)
{
uint c = cnt[i];
cnt[i] = pos;
pos += c;
}
ASSERT(pos == n);
for (uint i=0; i<n; i++)
to[cnt[(from[i].key >> (32 - BITS)) & ((1 << BITS) - 1)]++] = from[i];
ASSERT(cnt[(1 << BITS)-1] == n);
pos = 0;
for (uint i=0; i<(1 << BITS); i++)
{
as_sort(cnt[i] - pos, alt+pos);
pos = cnt[i];
}
ary = alt;
#undef BITS
}
static void r3_sort(void)
{
#define BITS 10
#define LEVELS 2
#define BUCKS (1 << BITS)
#define THRESHOLD 5000
#define ODDEVEN 0
auto void r3(struct elt *from, struct elt *to, uint n, uint lev);
void r3(struct elt *from, struct elt *to, uint n, uint lev)
{
uint sh = 32 - lev*BITS;
uint cnt[BUCKS];
bzero(cnt, sizeof(cnt));
for (uint i=0; i<n; i++)
cnt[(from[i].key >> sh) & (BUCKS - 1)]++;
uint pos = 0;
for (uint i=0; i<BUCKS; i++)
{
uint c = cnt[i];
cnt[i] = pos;
pos += c;
}
ASSERT(pos == n);
for (uint i=0; i<n; i++)
#if 1
to[cnt[(from[i].key >> sh) & (BUCKS - 1)]++] = from[i];
#else
sse_copy_elt(&to[cnt[(from[i].key >> sh) & (BUCKS - 1)]++], &from[i]);
#endif
pos = 0;
for (uint i=0; i<BUCKS; i++)
{
uint l = cnt[i]-pos;
if (lev >= LEVELS || l <= THRESHOLD)
{
as_sort(l, to+pos);
if ((lev % 2) != ODDEVEN)
memcpy(from+pos, to+pos, l * sizeof(struct elt));
}
else
r3(to+pos, from+pos, l, lev+1);
pos = cnt[i];
}
}
r3(ary, alt, n, 1);
if (ODDEVEN)
ary = alt;
#undef ODDEVEN
#undef THRESHOLD
#undef BUCKS
#undef LEVELS
#undef BITS
}
static inline struct elt *mrg(struct elt *x, struct elt *xl, struct elt *y, struct elt *yl, struct elt *z)
{
for (;;)
{
if (x->key <= y->key)
{
*z++ = *x++;
if (x >= xl)
goto xend;
}
else
{
*z++ = *y++;
if (y >= yl)
goto yend;
}
}
xend:
while (y < yl)
*z++ = *y++;
return z;
yend:
while (x < xl)
*z++ = *x++;
return z;
}
static void mergesort(void)
{
struct elt *from, *to;
uint lev = 0;
if (1)
{
struct elt *x = ary, *z = alt, *last = ary + (n & ~1U);
while (x < last)
{
if (x[0].key < x[1].key)
*z++ = *x++, *z++ = *x++;
else
{
*z++ = x[1];
*z++ = x[0];
x += 2;
}
}
if (n % 2)
*z = *x;
lev++;
}
for (; (1U << lev) < n; lev++)
{
if (lev % 2)
from = alt, to = ary;
else
from = ary, to = alt;
struct elt *x, *z, *last;
x = from;
z = to;
last = from + n;
uint step = 1 << lev;
while (x + 2*step <= last)
{
z = mrg(x, x+step, x+step, x+2*step, z);
x += 2*step;
}
if (x + step < last)
mrg(x, x+step, x+step, last, z);
else
memcpy(z, x, (byte*)last - (byte*)x);
}
if (lev % 2)
ary = alt;
}
static void sampsort(uint n, struct elt *ar, struct elt *al, struct elt *dest, byte *wbuf)
{
#define WAYS 256
struct elt k[WAYS];
uint cnt[WAYS];
bzero(cnt, sizeof(cnt));
for (uint i=0; i<WAYS; i++)
k[i] = ar[random() % n];
as_sort(WAYS, k);
for (uint i=0; i<n; i++)
{
uint w = 0;
#define FW(delta) if (ar[i].key > k[w+delta].key) w += delta
FW(128);
FW(64);
FW(32);
FW(16);
FW(8);
FW(4);
FW(2);
FW(1);
wbuf[i] = w;
cnt[w]++;
}
struct elt *y = al, *way[WAYS], *z;
for (uint i=0; i<WAYS; i++)
{
way[i] = y;
y += cnt[i];
}
ASSERT(y == al+n);
for (uint i=0; i<n; i++)
{
uint w = wbuf[i];
*way[w]++ = ar[i];
}
y = al;
z = ar;
for (uint i=0; i<WAYS; i++)
{
if (cnt[i] >= 1000)
sampsort(cnt[i], y, z, dest, wbuf);
else
{
as_sort(cnt[i], y);
if (al != dest)
memcpy(z, y, cnt[i]*sizeof(struct elt));
}
y += cnt[i];
z += cnt[i];
}
#undef FW
#undef WAYS
}
static void samplesort(void)
{
byte *aux = xmalloc(n);
sampsort(n, ary, alt, ary, aux);
xfree(aux);
}
static void sampsort2(uint n, struct elt *ar, struct elt *al, struct elt *dest, byte *wbuf)
{
#define WAYS 256
struct elt k[WAYS];
uint cnt[WAYS];
bzero(cnt, sizeof(cnt));
for (uint i=0; i<WAYS; i++)
k[i] = ar[random() % n];
as_sort(WAYS, k);
struct elt *k1 = ar, *k2 = ar+1, *kend = ar+n;
byte *ww = wbuf;
while (k2 < kend)
{
uint w1 = 0, w2 = 0;
#define FW1(delta) if (k1->key > k[w1+delta].key) w1 += delta
#define FW2(delta) if (k2->key > k[w2+delta].key) w2 += delta
FW1(128); FW2(128);
FW1(64); FW2(64);
FW1(32); FW2(32);
FW1(16); FW2(16);
FW1(8); FW2(8);
FW1(4); FW2(4);
FW1(2); FW2(2);
FW1(1); FW2(1);
*ww++ = w1;
*ww++ = w2;
cnt[w1]++;
cnt[w2]++;
k1 += 2;
k2 += 2;
}
if (k1 < kend)
{
uint w1 = 0;
FW1(128); FW1(64); FW1(32); FW1(16);
FW1(8); FW1(4); FW1(2); FW1(1);
*ww++ = w1;
cnt[w1]++;
}
struct elt *y = al, *way[WAYS], *z;
for (uint i=0; i<WAYS; i++)
{
way[i] = y;
y += cnt[i];
}
ASSERT(y == al+n);
for (uint i=0; i<n; i++)
{
uint w = wbuf[i];
*way[w]++ = ar[i];
}
y = al;
z = ar;
for (uint i=0; i<WAYS; i++)
{
if (cnt[i] >= 1000)
sampsort2(cnt[i], y, z, dest, wbuf);
else
{
as_sort(cnt[i], y);
if (al != dest)
memcpy(z, y, cnt[i]*sizeof(struct elt));
}
y += cnt[i];
z += cnt[i];
}
#undef FW1
#undef FW2
#undef WAYS
}
static void samplesort2(void)
{
byte *aux = xmalloc(n);
sampsort2(n, ary, alt, ary, aux);
xfree(aux);
}
static void heapsort(void)
{
#define H_LESS(_a,_b) ((_a).key > (_b).key)
struct elt *heap = ary-1;
HEAP_INIT(struct elt, heap, n, H_LESS, HEAP_SWAP);
uint nn = n;
while (nn)
HEAP_DELETE_MIN(struct elt, heap, nn, H_LESS, HEAP_SWAP);
#undef H_LESS
}
static void heapsort_ind(void)
{
#define H_LESS(_a,_b) ((_a)->key > (_b)->key)
struct elt **heap = ind-1;
HEAP_INIT(struct elt *, heap, n, H_LESS, HEAP_SWAP);
uint nn = n;
while (nn)
HEAP_DELETE_MIN(struct elt *, heap, nn, H_LESS, HEAP_SWAP);
#undef H_LESS
}
static void mk_ary(void)
{
ary = array0;
alt = array1;
md5_context ctx;
md5_init(&ctx);
u32 block[16];
bzero(block, sizeof(block));
sum = 0;
for (uint i=0; i<n; i++)
{
#if 1
if (!(i % 4))
{
block[i%16] = i;
md5_transform(ctx.buf, block);
}
ary[i].key = ctx.buf[i%4];
#else
ary[i].key = i*(~0U/(n-1));
#endif
for (uint j=1; j<sizeof(struct elt)/4; j++)
((u32*)&ary[i])[j] = ROL(ary[i].key, 3*j);
sum ^= ary[i].key;
}
}
static void chk_ary(void)
{
u32 s = ary[0].key;
for (uint i=1; i<n; i++)
if (ary[i].key < ary[i-1].key)
die("Missorted at %d", i);
else
s ^= ary[i].key;
if (s != sum)
die("Corrupted");
}
static void mk_ind(void)
{
mk_ary();
ind = xmalloc(sizeof(struct elt *) * n);
for (uint i=0; i<n; i++)
ind[i] = &ary[i];
}
static void chk_ind(void)
{
u32 s = ind[0]->key;
for (uint i=1; i<n; i++)
if (ind[i]->key < ind[i-1]->key)
die("Missorted at %d", i);
else
s ^= ind[i]->key;
if (s != sum)
die("Corrupted");
xfree(ind);
}
int main(int argc, char **argv)
{
log_init(argv[0]);
int opt;
uint op = 0;
while ((opt = cf_getopt(argc, argv, CF_SHORT_OPTS "1", CF_NO_LONG_OPTS, NULL)) >= 0)
switch (opt)
{
case '1':
op |= (1 << (opt - '0'));
break;
default:
die("usage?");
}
array0 = alloc_elts(n);
array1 = alloc_elts(n);
for (uint i=0; i<n; i++)
array0[i] = array1[i] = (struct elt) { 0 };
msg(L_INFO, "Testing with %u elements", n);
mk_ary();
timestamp_t timer;
init_timer(&timer);
for (uint i=0; i<5; i++)
{
#if 1
memcpy(alt, ary, sizeof(struct elt) * n);
memcpy(ary, alt, sizeof(struct elt) * n);
#else
for (uint j=0; j<n; j++)
alt[j] = ary[j];
for (uint j=0; j<n; j++)
ary[j] = alt[j];
#endif
}
msg(L_DEBUG, "memcpy: %d", get_timer(&timer)/10);
#define BENCH(type, name, func) mk_##type(); init_timer(&timer); func; msg(L_DEBUG, name ": %d", get_timer(&timer)); chk_##type()
BENCH(ary, "qsort", qsort(ary, n, sizeof(struct elt), comp));
BENCH(ary, "arraysort", as_sort(n, ary));
BENCH(ind, "indirect qsort", qsort(ind, n, sizeof(struct elt *), comp_ind));
BENCH(ind, "indirect arraysort", asi_sort(n));
BENCH(ary, "radix1", r1_sort());
BENCH(ary, "radix1b", r1b_sort());
BENCH(ary, "radix1c", r1c_sort());
BENCH(ary, "radix1c-sse", r1c_sse_sort());
BENCH(ary, "radix1d", r1d_sort());
BENCH(ary, "radix2", r2_sort());
BENCH(ary, "radix3", r3_sort());
BENCH(ary, "mergesort", mergesort());
BENCH(ary, "samplesort", samplesort());
BENCH(ary, "samplesort2", samplesort2());
BENCH(ary, "heapsort", heapsort());
BENCH(ind, "indirect heapsort", heapsort_ind());
free_elts(array0, n);
free_elts(array1, n);
return 0;
}