/*
* trsort.c for libdivsufsort
* Copyright (c) 2003-2008 Yuta Mori All Rights Reserved.
*
* Permission is hereby granted, free of charge, to any person
* obtaining a copy of this software and associated documentation
* files (the "Software"), to deal in the Software without
* restriction, including without limitation the rights to use,
* copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the
* Software is furnished to do so, subject to the following
* conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
* OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
* HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
* WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
* OTHER DEALINGS IN THE SOFTWARE.
*/
#include "divsufsort_private.h"
/*- Private Functions -*/
static const saint_t lg_table[256]= {
-1,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7
};
static INLINE
saint_t
tr_ilg(saidx_t n) {
#if defined(BUILD_DIVSUFSORT64)
return (n >> 32) ?
((n >> 48) ?
((n >> 56) ?
56 + lg_table[(n >> 56) & 0xff] :
48 + lg_table[(n >> 48) & 0xff]) :
((n >> 40) ?
40 + lg_table[(n >> 40) & 0xff] :
32 + lg_table[(n >> 32) & 0xff])) :
((n & 0xffff0000) ?
((n & 0xff000000) ?
24 + lg_table[(n >> 24) & 0xff] :
16 + lg_table[(n >> 16) & 0xff]) :
((n & 0x0000ff00) ?
8 + lg_table[(n >> 8) & 0xff] :
0 + lg_table[(n >> 0) & 0xff]));
#else
return (n & 0xffff0000) ?
((n & 0xff000000) ?
24 + lg_table[(n >> 24) & 0xff] :
16 + lg_table[(n >> 16) & 0xff]) :
((n & 0x0000ff00) ?
8 + lg_table[(n >> 8) & 0xff] :
0 + lg_table[(n >> 0) & 0xff]);
#endif
}
/*---------------------------------------------------------------------------*/
/* Simple insertionsort for small size groups. */
static
void
tr_insertionsort(const saidx_t *ISAd, saidx_t *first, saidx_t *last) {
saidx_t *a, *b;
saidx_t t, r;
for(a = first + 1; a < last; ++a) {
for(t = *a, b = a - 1; 0 > (r = ISAd[t] - ISAd[*b]);) {
do { *(b + 1) = *b; } while((first <= --b) && (*b < 0));
if(b < first) { break; }
}
if(r == 0) { *b = ~*b; }
*(b + 1) = t;
}
}
/*---------------------------------------------------------------------------*/
static INLINE
void
tr_fixdown(const saidx_t *ISAd, saidx_t *SA, saidx_t i, saidx_t size) {
saidx_t j, k;
saidx_t v;
saidx_t c, d, e;
for(v = SA[i], c = ISAd[v]; (j = 2 * i + 1) < size; SA[i] = SA[k], i = k) {
d = ISAd[SA[k = j++]];
if(d < (e = ISAd[SA[j]])) { k = j; d = e; }
if(d <= c) { break; }
}
SA[i] = v;
}
/* Simple top-down heapsort. */
static
void
tr_heapsort(const saidx_t *ISAd, saidx_t *SA, saidx_t size) {
saidx_t i, m;
saidx_t t;
m = size;
if((size % 2) == 0) {
m--;
if(ISAd[SA[m / 2]] < ISAd[SA[m]]) { SWAP(SA[m], SA[m / 2]); }
}
for(i = m / 2 - 1; 0 <= i; --i) { tr_fixdown(ISAd, SA, i, m); }
if((size % 2) == 0) { SWAP(SA[0], SA[m]); tr_fixdown(ISAd, SA, 0, m); }
for(i = m - 1; 0 < i; --i) {
t = SA[0], SA[0] = SA[i];
tr_fixdown(ISAd, SA, 0, i);
SA[i] = t;
}
}
/*---------------------------------------------------------------------------*/
/* Returns the median of three elements. */
static INLINE
saidx_t *
tr_median3(const saidx_t *ISAd, saidx_t *v1, saidx_t *v2, saidx_t *v3) {
saidx_t *t;
if(ISAd[*v1] > ISAd[*v2]) { SWAP(v1, v2); }
if(ISAd[*v2] > ISAd[*v3]) {
if(ISAd[*v1] > ISAd[*v3]) { return v1; }
else { return v3; }
}
return v2;
}
/* Returns the median of five elements. */
static INLINE
saidx_t *
tr_median5(const saidx_t *ISAd,
saidx_t *v1, saidx_t *v2, saidx_t *v3, saidx_t *v4, saidx_t *v5) {
saidx_t *t;
if(ISAd[*v2] > ISAd[*v3]) { SWAP(v2, v3); }
if(ISAd[*v4] > ISAd[*v5]) { SWAP(v4, v5); }
if(ISAd[*v2] > ISAd[*v4]) { SWAP(v2, v4); SWAP(v3, v5); }
if(ISAd[*v1] > ISAd[*v3]) { SWAP(v1, v3); }
if(ISAd[*v1] > ISAd[*v4]) { SWAP(v1, v4); SWAP(v3, v5); }
if(ISAd[*v3] > ISAd[*v4]) { return v4; }
return v3;
}
/* Returns the pivot element. */
static INLINE
saidx_t *
tr_pivot(const saidx_t *ISAd, saidx_t *first, saidx_t *last) {
saidx_t *middle;
saidx_t t;
t = last - first;
middle = first + t / 2;
if(t <= 512) {
if(t <= 32) {
return tr_median3(ISAd, first, middle, last - 1);
} else {
t >>= 2;
return tr_median5(ISAd, first, first + t, middle, last - 1 - t, last - 1);
}
}
t >>= 3;
first = tr_median3(ISAd, first, first + t, first + (t << 1));
middle = tr_median3(ISAd, middle - t, middle, middle + t);
last = tr_median3(ISAd, last - 1 - (t << 1), last - 1 - t, last - 1);
return tr_median3(ISAd, first, middle, last);
}
/*---------------------------------------------------------------------------*/
typedef struct _trbudget_t trbudget_t;
struct _trbudget_t {
saidx_t chance;
saidx_t remain;
saidx_t incval;
saidx_t count;
};
static INLINE
void
trbudget_init(trbudget_t *budget, saidx_t chance, saidx_t incval) {
budget->chance = chance;
budget->remain = budget->incval = incval;
}
static INLINE
saint_t
trbudget_check(trbudget_t *budget, saidx_t size) {
if(size <= budget->remain) { budget->remain -= size; return 1; }
if(budget->chance == 0) { budget->count += size; return 0; }
budget->remain += budget->incval - size;
budget->chance -= 1;
return 1;
}
/*---------------------------------------------------------------------------*/
static INLINE
void
tr_partition(const saidx_t *ISAd,
saidx_t *first, saidx_t *middle, saidx_t *last,
saidx_t **pa, saidx_t **pb, saidx_t v) {
saidx_t *a, *b, *c, *d, *e, *f;
saidx_t t, s;
saidx_t x = 0;
for(b = middle - 1; (++b < last) && ((x = ISAd[*b]) == v);) { }
if(((a = b) < last) && (x < v)) {
for(; (++b < last) && ((x = ISAd[*b]) <= v);) {
if(x == v) { SWAP(*b, *a); ++a; }
}
}
for(c = last; (b < --c) && ((x = ISAd[*c]) == v);) { }
if((b < (d = c)) && (x > v)) {
for(; (b < --c) && ((x = ISAd[*c]) >= v);) {
if(x == v) { SWAP(*c, *d); --d; }
}
}
for(; b < c;) {
SWAP(*b, *c);
for(; (++b < c) && ((x = ISAd[*b]) <= v);) {
if(x == v) { SWAP(*b, *a); ++a; }
}
for(; (b < --c) && ((x = ISAd[*c]) >= v);) {
if(x == v) { SWAP(*c, *d); --d; }
}
}
if(a <= d) {
c = b - 1;
if((s = a - first) > (t = b - a)) { s = t; }
for(e = first, f = b - s; 0 < s; --s, ++e, ++f) { SWAP(*e, *f); }
if((s = d - c) > (t = last - d - 1)) { s = t; }
for(e = b, f = last - s; 0 < s; --s, ++e, ++f) { SWAP(*e, *f); }
first += (b - a), last -= (d - c);
}
*pa = first, *pb = last;
}
static
void
tr_copy(saidx_t *ISA, const saidx_t *SA,
saidx_t *first, saidx_t *a, saidx_t *b, saidx_t *last,
saidx_t depth) {
/* sort suffixes of middle partition
by using sorted order of suffixes of left and right partition. */
saidx_t *c, *d, *e;
saidx_t s, v;
v = b - SA - 1;
for(c = first, d = a - 1; c <= d; ++c) {
if((0 <= (s = *c - depth)) && (ISA[s] == v)) {
*++d = s;
ISA[s] = d - SA;
}
}
for(c = last - 1, e = d + 1, d = b; e < d; --c) {
if((0 <= (s = *c - depth)) && (ISA[s] == v)) {
*--d = s;
ISA[s] = d - SA;
}
}
}
static
void
tr_partialcopy(saidx_t *ISA, const saidx_t *SA,
saidx_t *first, saidx_t *a, saidx_t *b, saidx_t *last,
saidx_t depth) {
saidx_t *c, *d, *e;
saidx_t s, v;
saidx_t rank, lastrank, newrank = -1;
v = b - SA - 1;
lastrank = -1;
for(c = first, d = a - 1; c <= d; ++c) {
if((0 <= (s = *c - depth)) && (ISA[s] == v)) {
*++d = s;
rank = ISA[s + depth];
if(lastrank != rank) { lastrank = rank; newrank = d - SA; }
ISA[s] = newrank;
}
}
lastrank = -1;
for(e = d; first <= e; --e) {
rank = ISA[*e];
if(lastrank != rank) { lastrank = rank; newrank = e - SA; }
if(newrank != rank) { ISA[*e] = newrank; }
}
lastrank = -1;
for(c = last - 1, e = d + 1, d = b; e < d; --c) {
if((0 <= (s = *c - depth)) && (ISA[s] == v)) {
*--d = s;
rank = ISA[s + depth];
if(lastrank != rank) { lastrank = rank; newrank = d - SA; }
ISA[s] = newrank;
}
}
}
static
void
tr_introsort(saidx_t *ISA, const saidx_t *ISAd,
saidx_t *SA, saidx_t *first, saidx_t *last,
trbudget_t *budget) {
#define STACK_SIZE TR_STACKSIZE
struct { const saidx_t *a; saidx_t *b, *c; saint_t d, e; }stack[STACK_SIZE];
saidx_t *a, *b, *c;
saidx_t t;
saidx_t v, x = 0;
saidx_t incr = ISAd - ISA;
saint_t limit, next;
saint_t ssize, trlink = -1;
for(ssize = 0, limit = tr_ilg(last - first);;) {
if(limit < 0) {
if(limit == -1) {
/* tandem repeat partition */
tr_partition(ISAd - incr, first, first, last, &a, &b, last - SA - 1);
/* update ranks */
if(a < last) {
for(c = first, v = a - SA - 1; c < a; ++c) { ISA[*c] = v; }
}
if(b < last) {
for(c = a, v = b - SA - 1; c < b; ++c) { ISA[*c] = v; }
}
/* push */
if(1 < (b - a)) {
STACK_PUSH5(NULL, a, b, 0, 0);
STACK_PUSH5(ISAd - incr, first, last, -2, trlink);
trlink = ssize - 2;
}
if((a - first) <= (last - b)) {
if(1 < (a - first)) {
STACK_PUSH5(ISAd, b, last, tr_ilg(last - b), trlink);
last = a, limit = tr_ilg(a - first);
} else if(1 < (last - b)) {
first = b, limit = tr_ilg(last - b);
} else {
STACK_POP5(ISAd, first, last, limit, trlink);
}
} else {
if(1 < (last - b)) {
STACK_PUSH5(ISAd, first, a, tr_ilg(a - first), trlink);
first = b, limit = tr_ilg(last - b);
} else if(1 < (a - first)) {
last = a, limit = tr_ilg(a - first);
} else {
STACK_POP5(ISAd, first, last, limit, trlink);
}
}
} else if(limit == -2) {
/* tandem repeat copy */
a = stack[--ssize].b, b = stack[ssize].c;
if(stack[ssize].d == 0) {
tr_copy(ISA, SA, first, a, b, last, ISAd - ISA);
} else {
if(0 <= trlink) { stack[trlink].d = -1; }
tr_partialcopy(ISA, SA, first, a, b, last, ISAd - ISA);
}
STACK_POP5(ISAd, first, last, limit, trlink);
} else {
/* sorted partition */
if(0 <= *first) {
a = first;
do { ISA[*a] = a - SA; } while((++a < last) && (0 <= *a));
first = a;
}
if(first < last) {
a = first; do { *a = ~*a; } while(*++a < 0);
next = (ISA[*a] != ISAd[*a]) ? tr_ilg(a - first + 1) : -1;
if(++a < last) { for(b = first, v = a - SA - 1; b < a; ++b) { ISA[*b] = v; } }
/* push */
if(trbudget_check(budget, a - first)) {
if((a - first) <= (last - a)) {
STACK_PUSH5(ISAd, a, last, -3, trlink);
ISAd += incr, last = a, limit = next;
} else {
if(1 < (last - a)) {
STACK_PUSH5(ISAd + incr, first, a, next, trlink);
first = a, limit = -3;
} else {
ISAd += incr, last = a, limit = next;
}
}
} else {
if(0 <= trlink) { stack[trlink].d = -1; }
if(1 < (last - a)) {
first = a, limit = -3;
} else {
STACK_POP5(ISAd, first, last, limit, trlink);
}
}
} else {
STACK_POP5(ISAd, first, last, limit, trlink);
}
}
continue;
}
if((last - first) <= TR_INSERTIONSORT_THRESHOLD) {
tr_insertionsort(ISAd, first, last);
limit = -3;
continue;
}
if(limit-- == 0) {
tr_heapsort(ISAd, first, last - first);
for(a = last - 1; first < a; a = b) {
for(x = ISAd[*a], b = a - 1; (first <= b) && (ISAd[*b] == x); --b) { *b = ~*b; }
}
limit = -3;
continue;
}
/* choose pivot */
a = tr_pivot(ISAd, first, last);
SWAP(*first, *a);
v = ISAd[*first];
/* partition */
tr_partition(ISAd, first, first + 1, last, &a, &b, v);
if((last - first) != (b - a)) {
next = (ISA[*a] != v) ? tr_ilg(b - a) : -1;
/* update ranks */
for(c = first, v = a - SA - 1; c < a; ++c) { ISA[*c] = v; }
if(b < last) { for(c = a, v = b - SA - 1; c < b; ++c) { ISA[*c] = v; } }
/* push */
if((1 < (b - a)) && (trbudget_check(budget, b - a))) {
if((a - first) <= (last - b)) {
if((last - b) <= (b - a)) {
if(1 < (a - first)) {
STACK_PUSH5(ISAd + incr, a, b, next, trlink);
STACK_PUSH5(ISAd, b, last, limit, trlink);
last = a;
} else if(1 < (last - b)) {
STACK_PUSH5(ISAd + incr, a, b, next, trlink);
first = b;
} else {
ISAd += incr, first = a, last = b, limit = next;
}
} else if((a - first) <= (b - a)) {
if(1 < (a - first)) {
STACK_PUSH5(ISAd, b, last, limit, trlink);
STACK_PUSH5(ISAd + incr, a, b, next, trlink);
last = a;
} else {
STACK_PUSH5(ISAd, b, last, limit, trlink);
ISAd += incr, first = a, last = b, limit = next;
}
} else {
STACK_PUSH5(ISAd, b, last, limit, trlink);
STACK_PUSH5(ISAd, first, a, limit, trlink);
ISAd += incr, first = a, last = b, limit = next;
}
} else {
if((a - first) <= (b - a)) {
if(1 < (last - b)) {
STACK_PUSH5(ISAd + incr, a, b, next, trlink);
STACK_PUSH5(ISAd, first, a, limit, trlink);
first = b;
} else if(1 < (a - first)) {
STACK_PUSH5(ISAd + incr, a, b, next, trlink);
last = a;
} else {
ISAd += incr, first = a, last = b, limit = next;
}
} else if((last - b) <= (b - a)) {
if(1 < (last - b)) {
STACK_PUSH5(ISAd, first, a, limit, trlink);
STACK_PUSH5(ISAd + incr, a, b, next, trlink);
first = b;
} else {
STACK_PUSH5(ISAd, first, a, limit, trlink);
ISAd += incr, first = a, last = b, limit = next;
}
} else {
STACK_PUSH5(ISAd, first, a, limit, trlink);
STACK_PUSH5(ISAd, b, last, limit, trlink);
ISAd += incr, first = a, last = b, limit = next;
}
}
} else {
if((1 < (b - a)) && (0 <= trlink)) { stack[trlink].d = -1; }
if((a - first) <= (last - b)) {
if(1 < (a - first)) {
STACK_PUSH5(ISAd, b, last, limit, trlink);
last = a;
} else if(1 < (last - b)) {
first = b;
} else {
STACK_POP5(ISAd, first, last, limit, trlink);
}
} else {
if(1 < (last - b)) {
STACK_PUSH5(ISAd, first, a, limit, trlink);
first = b;
} else if(1 < (a - first)) {
last = a;
} else {
STACK_POP5(ISAd, first, last, limit, trlink);
}
}
}
} else {
if(trbudget_check(budget, last - first)) {
limit = tr_ilg(last - first), ISAd += incr;
} else {
if(0 <= trlink) { stack[trlink].d = -1; }
STACK_POP5(ISAd, first, last, limit, trlink);
}
}
}
#undef STACK_SIZE
}
/*---------------------------------------------------------------------------*/
/*- Function -*/
/* Tandem repeat sort */
void
trsort(saidx_t *ISA, saidx_t *SA, saidx_t n, saidx_t depth) {
saidx_t *ISAd;
saidx_t *first, *last;
trbudget_t budget;
saidx_t t, skip, unsorted;
trbudget_init(&budget, tr_ilg(n) * 2 / 3, n);
/* trbudget_init(&budget, tr_ilg(n) * 3 / 4, n); */
for(ISAd = ISA + depth; -n < *SA; ISAd += ISAd - ISA) {
first = SA;
skip = 0;
unsorted = 0;
do {
if((t = *first) < 0) { first -= t; skip += t; }
else {
if(skip != 0) { *(first + skip) = skip; skip = 0; }
last = SA + ISA[t] + 1;
if(1 < (last - first)) {
budget.count = 0;
tr_introsort(ISA, ISAd, SA, first, last, &budget);
if(budget.count != 0) { unsorted += budget.count; }
else { skip = first - last; }
} else if((last - first) == 1) {
skip = -1;
}
first = last;
}
} while(first < (SA + n));
if(skip != 0) { *(first + skip) = skip; }
if(unsorted == 0) { break; }
}
}