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zstd/lib/dictBuilder/divsufsort.c

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/*
* divsufsort.c for libdivsufsort-lite
* 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.
*/
/*- Compiler specifics -*/
#ifdef __clang__
#pragma clang diagnostic ignored "-Wshorten-64-to-32"
#endif
#if defined(_MSC_VER)
# pragma warning(disable : 4244)
# pragma warning(disable : 4127) /* C4127 : Condition expression is constant */
#endif
/*- Dependencies -*/
#include <assert.h>
#include <stdio.h>
#include <stdlib.h>
#include "divsufsort.h"
/*- Constants -*/
#if defined(INLINE)
# undef INLINE
#endif
#if !defined(INLINE)
# define INLINE __inline
#endif
#if defined(ALPHABET_SIZE) && (ALPHABET_SIZE < 1)
# undef ALPHABET_SIZE
#endif
#if !defined(ALPHABET_SIZE)
# define ALPHABET_SIZE (256)
#endif
#define BUCKET_A_SIZE (ALPHABET_SIZE)
#define BUCKET_B_SIZE (ALPHABET_SIZE * ALPHABET_SIZE)
#if defined(SS_INSERTIONSORT_THRESHOLD)
# if SS_INSERTIONSORT_THRESHOLD < 1
# undef SS_INSERTIONSORT_THRESHOLD
# define SS_INSERTIONSORT_THRESHOLD (1)
# endif
#else
# define SS_INSERTIONSORT_THRESHOLD (8)
#endif
#if defined(SS_BLOCKSIZE)
# if SS_BLOCKSIZE < 0
# undef SS_BLOCKSIZE
# define SS_BLOCKSIZE (0)
# elif 32768 <= SS_BLOCKSIZE
# undef SS_BLOCKSIZE
# define SS_BLOCKSIZE (32767)
# endif
#else
# define SS_BLOCKSIZE (1024)
#endif
/* minstacksize = log(SS_BLOCKSIZE) / log(3) * 2 */
#if SS_BLOCKSIZE == 0
# define SS_MISORT_STACKSIZE (96)
#elif SS_BLOCKSIZE <= 4096
# define SS_MISORT_STACKSIZE (16)
#else
# define SS_MISORT_STACKSIZE (24)
#endif
#define SS_SMERGE_STACKSIZE (32)
#define TR_INSERTIONSORT_THRESHOLD (8)
#define TR_STACKSIZE (64)
/*- Macros -*/
#ifndef SWAP
# define SWAP(_a, _b) do { t = (_a); (_a) = (_b); (_b) = t; } while(0)
#endif /* SWAP */
#ifndef MIN
# define MIN(_a, _b) (((_a) < (_b)) ? (_a) : (_b))
#endif /* MIN */
#ifndef MAX
# define MAX(_a, _b) (((_a) > (_b)) ? (_a) : (_b))
#endif /* MAX */
#define STACK_PUSH(_a, _b, _c, _d)\
do {\
assert(ssize < STACK_SIZE);\
stack[ssize].a = (_a), stack[ssize].b = (_b),\
stack[ssize].c = (_c), stack[ssize++].d = (_d);\
} while(0)
#define STACK_PUSH5(_a, _b, _c, _d, _e)\
do {\
assert(ssize < STACK_SIZE);\
stack[ssize].a = (_a), stack[ssize].b = (_b),\
stack[ssize].c = (_c), stack[ssize].d = (_d), stack[ssize++].e = (_e);\
} while(0)
#define STACK_POP(_a, _b, _c, _d)\
do {\
assert(0 <= ssize);\
if(ssize == 0) { return; }\
(_a) = stack[--ssize].a, (_b) = stack[ssize].b,\
(_c) = stack[ssize].c, (_d) = stack[ssize].d;\
} while(0)
#define STACK_POP5(_a, _b, _c, _d, _e)\
do {\
assert(0 <= ssize);\
if(ssize == 0) { return; }\
(_a) = stack[--ssize].a, (_b) = stack[ssize].b,\
(_c) = stack[ssize].c, (_d) = stack[ssize].d, (_e) = stack[ssize].e;\
} while(0)
#define BUCKET_A(_c0) bucket_A[(_c0)]
#if ALPHABET_SIZE == 256
#define BUCKET_B(_c0, _c1) (bucket_B[((_c1) << 8) | (_c0)])
#define BUCKET_BSTAR(_c0, _c1) (bucket_B[((_c0) << 8) | (_c1)])
#else
#define BUCKET_B(_c0, _c1) (bucket_B[(_c1) * ALPHABET_SIZE + (_c0)])
#define BUCKET_BSTAR(_c0, _c1) (bucket_B[(_c0) * ALPHABET_SIZE + (_c1)])
#endif
/*- Private Functions -*/
static const int 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
};
#if (SS_BLOCKSIZE == 0) || (SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE)
static INLINE
int
ss_ilg(int n) {
#if SS_BLOCKSIZE == 0
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]);
#elif SS_BLOCKSIZE < 256
return lg_table[n];
#else
return (n & 0xff00) ?
8 + lg_table[(n >> 8) & 0xff] :
0 + lg_table[(n >> 0) & 0xff];
#endif
}
#endif /* (SS_BLOCKSIZE == 0) || (SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE) */
#if SS_BLOCKSIZE != 0
static const int sqq_table[256] = {
0, 16, 22, 27, 32, 35, 39, 42, 45, 48, 50, 53, 55, 57, 59, 61,
64, 65, 67, 69, 71, 73, 75, 76, 78, 80, 81, 83, 84, 86, 87, 89,
90, 91, 93, 94, 96, 97, 98, 99, 101, 102, 103, 104, 106, 107, 108, 109,
110, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126,
128, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142,
143, 144, 144, 145, 146, 147, 148, 149, 150, 150, 151, 152, 153, 154, 155, 155,
156, 157, 158, 159, 160, 160, 161, 162, 163, 163, 164, 165, 166, 167, 167, 168,
169, 170, 170, 171, 172, 173, 173, 174, 175, 176, 176, 177, 178, 178, 179, 180,
181, 181, 182, 183, 183, 184, 185, 185, 186, 187, 187, 188, 189, 189, 190, 191,
192, 192, 193, 193, 194, 195, 195, 196, 197, 197, 198, 199, 199, 200, 201, 201,
202, 203, 203, 204, 204, 205, 206, 206, 207, 208, 208, 209, 209, 210, 211, 211,
212, 212, 213, 214, 214, 215, 215, 216, 217, 217, 218, 218, 219, 219, 220, 221,
221, 222, 222, 223, 224, 224, 225, 225, 226, 226, 227, 227, 228, 229, 229, 230,
230, 231, 231, 232, 232, 233, 234, 234, 235, 235, 236, 236, 237, 237, 238, 238,
239, 240, 240, 241, 241, 242, 242, 243, 243, 244, 244, 245, 245, 246, 246, 247,
247, 248, 248, 249, 249, 250, 250, 251, 251, 252, 252, 253, 253, 254, 254, 255
};
static INLINE
int
ss_isqrt(int x) {
int y, e;
if(x >= (SS_BLOCKSIZE * SS_BLOCKSIZE)) { return SS_BLOCKSIZE; }
e = (x & 0xffff0000) ?
((x & 0xff000000) ?
24 + lg_table[(x >> 24) & 0xff] :
16 + lg_table[(x >> 16) & 0xff]) :
((x & 0x0000ff00) ?
8 + lg_table[(x >> 8) & 0xff] :
0 + lg_table[(x >> 0) & 0xff]);
if(e >= 16) {
y = sqq_table[x >> ((e - 6) - (e & 1))] << ((e >> 1) - 7);
if(e >= 24) { y = (y + 1 + x / y) >> 1; }
y = (y + 1 + x / y) >> 1;
} else if(e >= 8) {
y = (sqq_table[x >> ((e - 6) - (e & 1))] >> (7 - (e >> 1))) + 1;
} else {
return sqq_table[x] >> 4;
}
return (x < (y * y)) ? y - 1 : y;
}
#endif /* SS_BLOCKSIZE != 0 */
/*---------------------------------------------------------------------------*/
/* Compares two suffixes. */
static INLINE
int
ss_compare(const unsigned char *T,
const int *p1, const int *p2,
int depth) {
const unsigned char *U1, *U2, *U1n, *U2n;
for(U1 = T + depth + *p1,
U2 = T + depth + *p2,
U1n = T + *(p1 + 1) + 2,
U2n = T + *(p2 + 1) + 2;
(U1 < U1n) && (U2 < U2n) && (*U1 == *U2);
++U1, ++U2) {
}
return U1 < U1n ?
(U2 < U2n ? *U1 - *U2 : 1) :
(U2 < U2n ? -1 : 0);
}
/*---------------------------------------------------------------------------*/
#if (SS_BLOCKSIZE != 1) && (SS_INSERTIONSORT_THRESHOLD != 1)
/* Insertionsort for small size groups */
static
void
ss_insertionsort(const unsigned char *T, const int *PA,
int *first, int *last, int depth) {
int *i, *j;
int t;
int r;
for(i = last - 2; first <= i; --i) {
for(t = *i, j = i + 1; 0 < (r = ss_compare(T, PA + t, PA + *j, depth));) {
do { *(j - 1) = *j; } while((++j < last) && (*j < 0));
if(last <= j) { break; }
}
if(r == 0) { *j = ~*j; }
*(j - 1) = t;
}
}
#endif /* (SS_BLOCKSIZE != 1) && (SS_INSERTIONSORT_THRESHOLD != 1) */
/*---------------------------------------------------------------------------*/
#if (SS_BLOCKSIZE == 0) || (SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE)
static INLINE
void
ss_fixdown(const unsigned char *Td, const int *PA,
int *SA, int i, int size) {
int j, k;
int v;
int c, d, e;
for(v = SA[i], c = Td[PA[v]]; (j = 2 * i + 1) < size; SA[i] = SA[k], i = k) {
d = Td[PA[SA[k = j++]]];
if(d < (e = Td[PA[SA[j]]])) { k = j; d = e; }
if(d <= c) { break; }
}
SA[i] = v;
}
/* Simple top-down heapsort. */
static
void
ss_heapsort(const unsigned char *Td, const int *PA, int *SA, int size) {
int i, m;
int t;
m = size;
if((size % 2) == 0) {
m--;
if(Td[PA[SA[m / 2]]] < Td[PA[SA[m]]]) { SWAP(SA[m], SA[m / 2]); }
}
for(i = m / 2 - 1; 0 <= i; --i) { ss_fixdown(Td, PA, SA, i, m); }
if((size % 2) == 0) { SWAP(SA[0], SA[m]); ss_fixdown(Td, PA, SA, 0, m); }
for(i = m - 1; 0 < i; --i) {
t = SA[0], SA[0] = SA[i];
ss_fixdown(Td, PA, SA, 0, i);
SA[i] = t;
}
}
/*---------------------------------------------------------------------------*/
/* Returns the median of three elements. */
static INLINE
int *
ss_median3(const unsigned char *Td, const int *PA,
int *v1, int *v2, int *v3) {
int *t;
if(Td[PA[*v1]] > Td[PA[*v2]]) { SWAP(v1, v2); }
if(Td[PA[*v2]] > Td[PA[*v3]]) {
if(Td[PA[*v1]] > Td[PA[*v3]]) { return v1; }
else { return v3; }
}
return v2;
}
/* Returns the median of five elements. */
static INLINE
int *
ss_median5(const unsigned char *Td, const int *PA,
int *v1, int *v2, int *v3, int *v4, int *v5) {
int *t;
if(Td[PA[*v2]] > Td[PA[*v3]]) { SWAP(v2, v3); }
if(Td[PA[*v4]] > Td[PA[*v5]]) { SWAP(v4, v5); }
if(Td[PA[*v2]] > Td[PA[*v4]]) { SWAP(v2, v4); SWAP(v3, v5); }
if(Td[PA[*v1]] > Td[PA[*v3]]) { SWAP(v1, v3); }
if(Td[PA[*v1]] > Td[PA[*v4]]) { SWAP(v1, v4); SWAP(v3, v5); }
if(Td[PA[*v3]] > Td[PA[*v4]]) { return v4; }
return v3;
}
/* Returns the pivot element. */
static INLINE
int *
ss_pivot(const unsigned char *Td, const int *PA, int *first, int *last) {
int *middle;
int t;
t = last - first;
middle = first + t / 2;
if(t <= 512) {
if(t <= 32) {
return ss_median3(Td, PA, first, middle, last - 1);
} else {
t >>= 2;
return ss_median5(Td, PA, first, first + t, middle, last - 1 - t, last - 1);
}
}
t >>= 3;
first = ss_median3(Td, PA, first, first + t, first + (t << 1));
middle = ss_median3(Td, PA, middle - t, middle, middle + t);
last = ss_median3(Td, PA, last - 1 - (t << 1), last - 1 - t, last - 1);
return ss_median3(Td, PA, first, middle, last);
}
/*---------------------------------------------------------------------------*/
/* Binary partition for substrings. */
static INLINE
int *
ss_partition(const int *PA,
int *first, int *last, int depth) {
int *a, *b;
int t;
for(a = first - 1, b = last;;) {
for(; (++a < b) && ((PA[*a] + depth) >= (PA[*a + 1] + 1));) { *a = ~*a; }
for(; (a < --b) && ((PA[*b] + depth) < (PA[*b + 1] + 1));) { }
if(b <= a) { break; }
t = ~*b;
*b = *a;
*a = t;
}
if(first < a) { *first = ~*first; }
return a;
}
/* Multikey introsort for medium size groups. */
static
void
ss_mintrosort(const unsigned char *T, const int *PA,
int *first, int *last,
int depth) {
#define STACK_SIZE SS_MISORT_STACKSIZE
struct { int *a, *b, c; int d; } stack[STACK_SIZE];
const unsigned char *Td;
int *a, *b, *c, *d, *e, *f;
int s, t;
int ssize;
int limit;
int v, x = 0;
for(ssize = 0, limit = ss_ilg(last - first);;) {
if((last - first) <= SS_INSERTIONSORT_THRESHOLD) {
#if 1 < SS_INSERTIONSORT_THRESHOLD
if(1 < (last - first)) { ss_insertionsort(T, PA, first, last, depth); }
#endif
STACK_POP(first, last, depth, limit);
continue;
}
Td = T + depth;
if(limit-- == 0) { ss_heapsort(Td, PA, first, last - first); }
if(limit < 0) {
for(a = first + 1, v = Td[PA[*first]]; a < last; ++a) {
if((x = Td[PA[*a]]) != v) {
if(1 < (a - first)) { break; }
v = x;
first = a;
}
}
if(Td[PA[*first] - 1] < v) {
first = ss_partition(PA, first, a, depth);
}
if((a - first) <= (last - a)) {
if(1 < (a - first)) {
STACK_PUSH(a, last, depth, -1);
last = a, depth += 1, limit = ss_ilg(a - first);
} else {
first = a, limit = -1;
}
} else {
if(1 < (last - a)) {
STACK_PUSH(first, a, depth + 1, ss_ilg(a - first));
first = a, limit = -1;
} else {
last = a, depth += 1, limit = ss_ilg(a - first);
}
}
continue;
}
/* choose pivot */
a = ss_pivot(Td, PA, first, last);
v = Td[PA[*a]];
SWAP(*first, *a);
/* partition */
for(b = first; (++b < last) && ((x = Td[PA[*b]]) == v);) { }
if(((a = b) < last) && (x < v)) {
for(; (++b < last) && ((x = Td[PA[*b]]) <= v);) {
if(x == v) { SWAP(*b, *a); ++a; }
}
}
for(c = last; (b < --c) && ((x = Td[PA[*c]]) == v);) { }
if((b < (d = c)) && (x > v)) {
for(; (b < --c) && ((x = Td[PA[*c]]) >= v);) {
if(x == v) { SWAP(*c, *d); --d; }
}
}
for(; b < c;) {
SWAP(*b, *c);
for(; (++b < c) && ((x = Td[PA[*b]]) <= v);) {
if(x == v) { SWAP(*b, *a); ++a; }
}
for(; (b < --c) && ((x = Td[PA[*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); }
a = first + (b - a), c = last - (d - c);
b = (v <= Td[PA[*a] - 1]) ? a : ss_partition(PA, a, c, depth);
if((a - first) <= (last - c)) {
if((last - c) <= (c - b)) {
STACK_PUSH(b, c, depth + 1, ss_ilg(c - b));
STACK_PUSH(c, last, depth, limit);
last = a;
} else if((a - first) <= (c - b)) {
STACK_PUSH(c, last, depth, limit);
STACK_PUSH(b, c, depth + 1, ss_ilg(c - b));
last = a;
} else {
STACK_PUSH(c, last, depth, limit);
STACK_PUSH(first, a, depth, limit);
first = b, last = c, depth += 1, limit = ss_ilg(c - b);
}
} else {
if((a - first) <= (c - b)) {
STACK_PUSH(b, c, depth + 1, ss_ilg(c - b));
STACK_PUSH(first, a, depth, limit);
first = c;
} else if((last - c) <= (c - b)) {
STACK_PUSH(first, a, depth, limit);
STACK_PUSH(b, c, depth + 1, ss_ilg(c - b));
first = c;
} else {
STACK_PUSH(first, a, depth, limit);
STACK_PUSH(c, last, depth, limit);
first = b, last = c, depth += 1, limit = ss_ilg(c - b);
}
}
} else {
limit += 1;
if(Td[PA[*first] - 1] < v) {
first = ss_partition(PA, first, last, depth);
limit = ss_ilg(last - first);
}
depth += 1;
}
}
#undef STACK_SIZE
}
#endif /* (SS_BLOCKSIZE == 0) || (SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE) */
/*---------------------------------------------------------------------------*/
#if SS_BLOCKSIZE != 0
static INLINE
void
ss_blockswap(int *a, int *b, int n) {
int t;
for(; 0 < n; --n, ++a, ++b) {
t = *a, *a = *b, *b = t;
}
}
static INLINE
void
ss_rotate(int *first, int *middle, int *last) {
int *a, *b, t;
int l, r;
l = middle - first, r = last - middle;
for(; (0 < l) && (0 < r);) {
if(l == r) { ss_blockswap(first, middle, l); break; }
if(l < r) {
a = last - 1, b = middle - 1;
t = *a;
do {
*a-- = *b, *b-- = *a;
if(b < first) {
*a = t;
last = a;
if((r -= l + 1) <= l) { break; }
a -= 1, b = middle - 1;
t = *a;
}
} while(1);
} else {
a = first, b = middle;
t = *a;
do {
*a++ = *b, *b++ = *a;
if(last <= b) {
*a = t;
first = a + 1;
if((l -= r + 1) <= r) { break; }
a += 1, b = middle;
t = *a;
}
} while(1);
}
}
}
/*---------------------------------------------------------------------------*/
static
void
ss_inplacemerge(const unsigned char *T, const int *PA,
int *first, int *middle, int *last,
int depth) {
const int *p;
int *a, *b;
int len, half;
int q, r;
int x;
for(;;) {
if(*(last - 1) < 0) { x = 1; p = PA + ~*(last - 1); }
else { x = 0; p = PA + *(last - 1); }
for(a = first, len = middle - first, half = len >> 1, r = -1;
0 < len;
len = half, half >>= 1) {
b = a + half;
q = ss_compare(T, PA + ((0 <= *b) ? *b : ~*b), p, depth);
if(q < 0) {
a = b + 1;
half -= (len & 1) ^ 1;
} else {
r = q;
}
}
if(a < middle) {
if(r == 0) { *a = ~*a; }
ss_rotate(a, middle, last);
last -= middle - a;
middle = a;
if(first == middle) { break; }
}
--last;
if(x != 0) { while(*--last < 0) { } }
if(middle == last) { break; }
}
}
/*---------------------------------------------------------------------------*/
/* Merge-forward with internal buffer. */
static
void
ss_mergeforward(const unsigned char *T, const int *PA,
int *first, int *middle, int *last,
int *buf, int depth) {
int *a, *b, *c, *bufend;
int t;
int r;
bufend = buf + (middle - first) - 1;
ss_blockswap(buf, first, middle - first);
for(t = *(a = first), b = buf, c = middle;;) {
r = ss_compare(T, PA + *b, PA + *c, depth);
if(r < 0) {
do {
*a++ = *b;
if(bufend <= b) { *bufend = t; return; }
*b++ = *a;
} while(*b < 0);
} else if(r > 0) {
do {
*a++ = *c, *c++ = *a;
if(last <= c) {
while(b < bufend) { *a++ = *b, *b++ = *a; }
*a = *b, *b = t;
return;
}
} while(*c < 0);
} else {
*c = ~*c;
do {
*a++ = *b;
if(bufend <= b) { *bufend = t; return; }
*b++ = *a;
} while(*b < 0);
do {
*a++ = *c, *c++ = *a;
if(last <= c) {
while(b < bufend) { *a++ = *b, *b++ = *a; }
*a = *b, *b = t;
return;
}
} while(*c < 0);
}
}
}
/* Merge-backward with internal buffer. */
static
void
ss_mergebackward(const unsigned char *T, const int *PA,
int *first, int *middle, int *last,
int *buf, int depth) {
const int *p1, *p2;
int *a, *b, *c, *bufend;
int t;
int r;
int x;
bufend = buf + (last - middle) - 1;
ss_blockswap(buf, middle, last - middle);
x = 0;
if(*bufend < 0) { p1 = PA + ~*bufend; x |= 1; }
else { p1 = PA + *bufend; }
if(*(middle - 1) < 0) { p2 = PA + ~*(middle - 1); x |= 2; }
else { p2 = PA + *(middle - 1); }
for(t = *(a = last - 1), b = bufend, c = middle - 1;;) {
r = ss_compare(T, p1, p2, depth);
if(0 < r) {
if(x & 1) { do { *a-- = *b, *b-- = *a; } while(*b < 0); x ^= 1; }
*a-- = *b;
if(b <= buf) { *buf = t; break; }
*b-- = *a;
if(*b < 0) { p1 = PA + ~*b; x |= 1; }
else { p1 = PA + *b; }
} else if(r < 0) {
if(x & 2) { do { *a-- = *c, *c-- = *a; } while(*c < 0); x ^= 2; }
*a-- = *c, *c-- = *a;
if(c < first) {
while(buf < b) { *a-- = *b, *b-- = *a; }
*a = *b, *b = t;
break;
}
if(*c < 0) { p2 = PA + ~*c; x |= 2; }
else { p2 = PA + *c; }
} else {
if(x & 1) { do { *a-- = *b, *b-- = *a; } while(*b < 0); x ^= 1; }
*a-- = ~*b;
if(b <= buf) { *buf = t; break; }
*b-- = *a;
if(x & 2) { do { *a-- = *c, *c-- = *a; } while(*c < 0); x ^= 2; }
*a-- = *c, *c-- = *a;
if(c < first) {
while(buf < b) { *a-- = *b, *b-- = *a; }
*a = *b, *b = t;
break;
}
if(*b < 0) { p1 = PA + ~*b; x |= 1; }
else { p1 = PA + *b; }
if(*c < 0) { p2 = PA + ~*c; x |= 2; }
else { p2 = PA + *c; }
}
}
}
/* D&C based merge. */
static
void
ss_swapmerge(const unsigned char *T, const int *PA,
int *first, int *middle, int *last,
int *buf, int bufsize, int depth) {
#define STACK_SIZE SS_SMERGE_STACKSIZE
#define GETIDX(a) ((0 <= (a)) ? (a) : (~(a)))
#define MERGE_CHECK(a, b, c)\
do {\
if(((c) & 1) ||\
(((c) & 2) && (ss_compare(T, PA + GETIDX(*((a) - 1)), PA + *(a), depth) == 0))) {\
*(a) = ~*(a);\
}\
if(((c) & 4) && ((ss_compare(T, PA + GETIDX(*((b) - 1)), PA + *(b), depth) == 0))) {\
*(b) = ~*(b);\
}\
} while(0)
struct { int *a, *b, *c; int d; } stack[STACK_SIZE];
int *l, *r, *lm, *rm;
int m, len, half;
int ssize;
int check, next;
for(check = 0, ssize = 0;;) {
if((last - middle) <= bufsize) {
if((first < middle) && (middle < last)) {
ss_mergebackward(T, PA, first, middle, last, buf, depth);
}
MERGE_CHECK(first, last, check);
STACK_POP(first, middle, last, check);
continue;
}
if((middle - first) <= bufsize) {
if(first < middle) {
ss_mergeforward(T, PA, first, middle, last, buf, depth);
}
MERGE_CHECK(first, last, check);
STACK_POP(first, middle, last, check);
continue;
}
for(m = 0, len = MIN(middle - first, last - middle), half = len >> 1;
0 < len;
len = half, half >>= 1) {
if(ss_compare(T, PA + GETIDX(*(middle + m + half)),
PA + GETIDX(*(middle - m - half - 1)), depth) < 0) {
m += half + 1;
half -= (len & 1) ^ 1;
}
}
if(0 < m) {
lm = middle - m, rm = middle + m;
ss_blockswap(lm, middle, m);
l = r = middle, next = 0;
if(rm < last) {
if(*rm < 0) {
*rm = ~*rm;
if(first < lm) { for(; *--l < 0;) { } next |= 4; }
next |= 1;
} else if(first < lm) {
for(; *r < 0; ++r) { }
next |= 2;
}
}
if((l - first) <= (last - r)) {
STACK_PUSH(r, rm, last, (next & 3) | (check & 4));
middle = lm, last = l, check = (check & 3) | (next & 4);
} else {
if((next & 2) && (r == middle)) { next ^= 6; }
STACK_PUSH(first, lm, l, (check & 3) | (next & 4));
first = r, middle = rm, check = (next & 3) | (check & 4);
}
} else {
if(ss_compare(T, PA + GETIDX(*(middle - 1)), PA + *middle, depth) == 0) {
*middle = ~*middle;
}
MERGE_CHECK(first, last, check);
STACK_POP(first, middle, last, check);
}
}
#undef STACK_SIZE
}
#endif /* SS_BLOCKSIZE != 0 */
/*---------------------------------------------------------------------------*/
/* Substring sort */
static
void
sssort(const unsigned char *T, const int *PA,
int *first, int *last,
int *buf, int bufsize,
int depth, int n, int lastsuffix) {
int *a;
#if SS_BLOCKSIZE != 0
int *b, *middle, *curbuf;
int j, k, curbufsize, limit;
#endif
int i;
if(lastsuffix != 0) { ++first; }
#if SS_BLOCKSIZE == 0
ss_mintrosort(T, PA, first, last, depth);
#else
if((bufsize < SS_BLOCKSIZE) &&
(bufsize < (last - first)) &&
(bufsize < (limit = ss_isqrt(last - first)))) {
if(SS_BLOCKSIZE < limit) { limit = SS_BLOCKSIZE; }
buf = middle = last - limit, bufsize = limit;
} else {
middle = last, limit = 0;
}
for(a = first, i = 0; SS_BLOCKSIZE < (middle - a); a += SS_BLOCKSIZE, ++i) {
#if SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE
ss_mintrosort(T, PA, a, a + SS_BLOCKSIZE, depth);
#elif 1 < SS_BLOCKSIZE
ss_insertionsort(T, PA, a, a + SS_BLOCKSIZE, depth);
#endif
curbufsize = last - (a + SS_BLOCKSIZE);
curbuf = a + SS_BLOCKSIZE;
if(curbufsize <= bufsize) { curbufsize = bufsize, curbuf = buf; }
for(b = a, k = SS_BLOCKSIZE, j = i; j & 1; b -= k, k <<= 1, j >>= 1) {
ss_swapmerge(T, PA, b - k, b, b + k, curbuf, curbufsize, depth);
}
}
#if SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE
ss_mintrosort(T, PA, a, middle, depth);
#elif 1 < SS_BLOCKSIZE
ss_insertionsort(T, PA, a, middle, depth);
#endif
for(k = SS_BLOCKSIZE; i != 0; k <<= 1, i >>= 1) {
if(i & 1) {
ss_swapmerge(T, PA, a - k, a, middle, buf, bufsize, depth);
a -= k;
}
}
if(limit != 0) {
#if SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE
ss_mintrosort(T, PA, middle, last, depth);
#elif 1 < SS_BLOCKSIZE
ss_insertionsort(T, PA, middle, last, depth);
#endif
ss_inplacemerge(T, PA, first, middle, last, depth);
}
#endif
if(lastsuffix != 0) {
/* Insert last type B* suffix. */
int PAi[2]; PAi[0] = PA[*(first - 1)], PAi[1] = n - 2;
for(a = first, i = *(first - 1);
(a < last) && ((*a < 0) || (0 < ss_compare(T, &(PAi[0]), PA + *a, depth)));
++a) {
*(a - 1) = *a;
}
*(a - 1) = i;
}
}
/*---------------------------------------------------------------------------*/
static INLINE
int
tr_ilg(int n) {
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]);
}
/*---------------------------------------------------------------------------*/
/* Simple insertionsort for small size groups. */
static
void
tr_insertionsort(const int *ISAd, int *first, int *last) {
int *a, *b;
int 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 int *ISAd, int *SA, int i, int size) {
int j, k;
int v;
int 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 int *ISAd, int *SA, int size) {
int i, m;
int 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
int *
tr_median3(const int *ISAd, int *v1, int *v2, int *v3) {
int *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
int *
tr_median5(const int *ISAd,
int *v1, int *v2, int *v3, int *v4, int *v5) {
int *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
int *
tr_pivot(const int *ISAd, int *first, int *last) {
int *middle;
int 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 {
int chance;
int remain;
int incval;
int count;
};
static INLINE
void
trbudget_init(trbudget_t *budget, int chance, int incval) {
budget->chance = chance;
budget->remain = budget->incval = incval;
}
static INLINE
int
trbudget_check(trbudget_t *budget, int 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 int *ISAd,
int *first, int *middle, int *last,
int **pa, int **pb, int v) {
int *a, *b, *c, *d, *e, *f;
int t, s;
int 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(int *ISA, const int *SA,
int *first, int *a, int *b, int *last,
int depth) {
/* sort suffixes of middle partition
by using sorted order of suffixes of left and right partition. */
int *c, *d, *e;
int 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(int *ISA, const int *SA,
int *first, int *a, int *b, int *last,
int depth) {
int *c, *d, *e;
int s, v;
int 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(int *ISA, const int *ISAd,
int *SA, int *first, int *last,
trbudget_t *budget) {
#define STACK_SIZE TR_STACKSIZE
struct { const int *a; int *b, *c; int d, e; }stack[STACK_SIZE];
int *a, *b, *c;
int t;
int v, x = 0;
int incr = ISAd - ISA;
int limit, next;
int 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
}
/*---------------------------------------------------------------------------*/
/* Tandem repeat sort */
static
void
trsort(int *ISA, int *SA, int n, int depth) {
int *ISAd;
int *first, *last;
trbudget_t budget;
int 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; }
}
}
/*---------------------------------------------------------------------------*/
/* Sorts suffixes of type B*. */
static
int
sort_typeBstar(const unsigned char *T, int *SA,
int *bucket_A, int *bucket_B,
int n, int openMP) {
int *PAb, *ISAb, *buf;
#ifdef LIBBSC_OPENMP
int *curbuf;
int l;
#endif
int i, j, k, t, m, bufsize;
int c0, c1;
#ifdef LIBBSC_OPENMP
int d0, d1;
#endif
(void)openMP;
/* Initialize bucket arrays. */
for(i = 0; i < BUCKET_A_SIZE; ++i) { bucket_A[i] = 0; }
for(i = 0; i < BUCKET_B_SIZE; ++i) { bucket_B[i] = 0; }
/* Count the number of occurrences of the first one or two characters of each
type A, B and B* suffix. Moreover, store the beginning position of all
type B* suffixes into the array SA. */
for(i = n - 1, m = n, c0 = T[n - 1]; 0 <= i;) {
/* type A suffix. */
do { ++BUCKET_A(c1 = c0); } while((0 <= --i) && ((c0 = T[i]) >= c1));
if(0 <= i) {
/* type B* suffix. */
++BUCKET_BSTAR(c0, c1);
SA[--m] = i;
/* type B suffix. */
for(--i, c1 = c0; (0 <= i) && ((c0 = T[i]) <= c1); --i, c1 = c0) {
++BUCKET_B(c0, c1);
}
}
}
m = n - m;
/*
note:
A type B* suffix is lexicographically smaller than a type B suffix that
begins with the same first two characters.
*/
/* Calculate the index of start/end point of each bucket. */
for(c0 = 0, i = 0, j = 0; c0 < ALPHABET_SIZE; ++c0) {
t = i + BUCKET_A(c0);
BUCKET_A(c0) = i + j; /* start point */
i = t + BUCKET_B(c0, c0);
for(c1 = c0 + 1; c1 < ALPHABET_SIZE; ++c1) {
j += BUCKET_BSTAR(c0, c1);
BUCKET_BSTAR(c0, c1) = j; /* end point */
i += BUCKET_B(c0, c1);
}
}
if(0 < m) {
/* Sort the type B* suffixes by their first two characters. */
PAb = SA + n - m; ISAb = SA + m;
for(i = m - 2; 0 <= i; --i) {
t = PAb[i], c0 = T[t], c1 = T[t + 1];
SA[--BUCKET_BSTAR(c0, c1)] = i;
}
t = PAb[m - 1], c0 = T[t], c1 = T[t + 1];
SA[--BUCKET_BSTAR(c0, c1)] = m - 1;
/* Sort the type B* substrings using sssort. */
#ifdef LIBBSC_OPENMP
if (openMP)
{
buf = SA + m;
c0 = ALPHABET_SIZE - 2, c1 = ALPHABET_SIZE - 1, j = m;
#pragma omp parallel default(shared) private(bufsize, curbuf, k, l, d0, d1)
{
bufsize = (n - (2 * m)) / omp_get_num_threads();
curbuf = buf + omp_get_thread_num() * bufsize;
k = 0;
for(;;) {
#pragma omp critical(sssort_lock)
{
if(0 < (l = j)) {
d0 = c0, d1 = c1;
do {
k = BUCKET_BSTAR(d0, d1);
if(--d1 <= d0) {
d1 = ALPHABET_SIZE - 1;
if(--d0 < 0) { break; }
}
} while(((l - k) <= 1) && (0 < (l = k)));
c0 = d0, c1 = d1, j = k;
}
}
if(l == 0) { break; }
sssort(T, PAb, SA + k, SA + l,
curbuf, bufsize, 2, n, *(SA + k) == (m - 1));
}
}
}
else
{
buf = SA + m, bufsize = n - (2 * m);
for(c0 = ALPHABET_SIZE - 2, j = m; 0 < j; --c0) {
for(c1 = ALPHABET_SIZE - 1; c0 < c1; j = i, --c1) {
i = BUCKET_BSTAR(c0, c1);
if(1 < (j - i)) {
sssort(T, PAb, SA + i, SA + j,
buf, bufsize, 2, n, *(SA + i) == (m - 1));
}
}
}
}
#else
buf = SA + m, bufsize = n - (2 * m);
for(c0 = ALPHABET_SIZE - 2, j = m; 0 < j; --c0) {
for(c1 = ALPHABET_SIZE - 1; c0 < c1; j = i, --c1) {
i = BUCKET_BSTAR(c0, c1);
if(1 < (j - i)) {
sssort(T, PAb, SA + i, SA + j,
buf, bufsize, 2, n, *(SA + i) == (m - 1));
}
}
}
#endif
/* Compute ranks of type B* substrings. */
for(i = m - 1; 0 <= i; --i) {
if(0 <= SA[i]) {
j = i;
do { ISAb[SA[i]] = i; } while((0 <= --i) && (0 <= SA[i]));
SA[i + 1] = i - j;
if(i <= 0) { break; }
}
j = i;
do { ISAb[SA[i] = ~SA[i]] = j; } while(SA[--i] < 0);
ISAb[SA[i]] = j;
}
/* Construct the inverse suffix array of type B* suffixes using trsort. */
trsort(ISAb, SA, m, 1);
/* Set the sorted order of tyoe B* suffixes. */
for(i = n - 1, j = m, c0 = T[n - 1]; 0 <= i;) {
for(--i, c1 = c0; (0 <= i) && ((c0 = T[i]) >= c1); --i, c1 = c0) { }
if(0 <= i) {
t = i;
for(--i, c1 = c0; (0 <= i) && ((c0 = T[i]) <= c1); --i, c1 = c0) { }
SA[ISAb[--j]] = ((t == 0) || (1 < (t - i))) ? t : ~t;
}
}
/* Calculate the index of start/end point of each bucket. */
BUCKET_B(ALPHABET_SIZE - 1, ALPHABET_SIZE - 1) = n; /* end point */
for(c0 = ALPHABET_SIZE - 2, k = m - 1; 0 <= c0; --c0) {
i = BUCKET_A(c0 + 1) - 1;
for(c1 = ALPHABET_SIZE - 1; c0 < c1; --c1) {
t = i - BUCKET_B(c0, c1);
BUCKET_B(c0, c1) = i; /* end point */
/* Move all type B* suffixes to the correct position. */
for(i = t, j = BUCKET_BSTAR(c0, c1);
j <= k;
--i, --k) { SA[i] = SA[k]; }
}
BUCKET_BSTAR(c0, c0 + 1) = i - BUCKET_B(c0, c0) + 1; /* start point */
BUCKET_B(c0, c0) = i; /* end point */
}
}
return m;
}
/* Constructs the suffix array by using the sorted order of type B* suffixes. */
static
void
construct_SA(const unsigned char *T, int *SA,
int *bucket_A, int *bucket_B,
int n, int m) {
int *i, *j, *k;
int s;
int c0, c1, c2;
if(0 < m) {
/* Construct the sorted order of type B suffixes by using
the sorted order of type B* suffixes. */
for(c1 = ALPHABET_SIZE - 2; 0 <= c1; --c1) {
/* Scan the suffix array from right to left. */
for(i = SA + BUCKET_BSTAR(c1, c1 + 1),
j = SA + BUCKET_A(c1 + 1) - 1, k = NULL, c2 = -1;
i <= j;
--j) {
if(0 < (s = *j)) {
assert(T[s] == c1);
assert(((s + 1) < n) && (T[s] <= T[s + 1]));
assert(T[s - 1] <= T[s]);
*j = ~s;
c0 = T[--s];
if((0 < s) && (T[s - 1] > c0)) { s = ~s; }
if(c0 != c2) {
if(0 <= c2) { BUCKET_B(c2, c1) = k - SA; }
k = SA + BUCKET_B(c2 = c0, c1);
}
assert(k < j);
*k-- = s;
} else {
assert(((s == 0) && (T[s] == c1)) || (s < 0));
*j = ~s;
}
}
}
}
/* Construct the suffix array by using
the sorted order of type B suffixes. */
k = SA + BUCKET_A(c2 = T[n - 1]);
*k++ = (T[n - 2] < c2) ? ~(n - 1) : (n - 1);
/* Scan the suffix array from left to right. */
for(i = SA, j = SA + n; i < j; ++i) {
if(0 < (s = *i)) {
assert(T[s - 1] >= T[s]);
c0 = T[--s];
if((s == 0) || (T[s - 1] < c0)) { s = ~s; }
if(c0 != c2) {
BUCKET_A(c2) = k - SA;
k = SA + BUCKET_A(c2 = c0);
}
assert(i < k);
*k++ = s;
} else {
assert(s < 0);
*i = ~s;
}
}
}
/* Constructs the burrows-wheeler transformed string directly
by using the sorted order of type B* suffixes. */
static
int
construct_BWT(const unsigned char *T, int *SA,
int *bucket_A, int *bucket_B,
int n, int m) {
int *i, *j, *k, *orig;
int s;
int c0, c1, c2;
if(0 < m) {
/* Construct the sorted order of type B suffixes by using
the sorted order of type B* suffixes. */
for(c1 = ALPHABET_SIZE - 2; 0 <= c1; --c1) {
/* Scan the suffix array from right to left. */
for(i = SA + BUCKET_BSTAR(c1, c1 + 1),
j = SA + BUCKET_A(c1 + 1) - 1, k = NULL, c2 = -1;
i <= j;
--j) {
if(0 < (s = *j)) {
assert(T[s] == c1);
assert(((s + 1) < n) && (T[s] <= T[s + 1]));
assert(T[s - 1] <= T[s]);
c0 = T[--s];
*j = ~((int)c0);
if((0 < s) && (T[s - 1] > c0)) { s = ~s; }
if(c0 != c2) {
if(0 <= c2) { BUCKET_B(c2, c1) = k - SA; }
k = SA + BUCKET_B(c2 = c0, c1);
}
assert(k < j);
*k-- = s;
} else if(s != 0) {
*j = ~s;
#ifndef NDEBUG
} else {
assert(T[s] == c1);
#endif
}
}
}
}
/* Construct the BWTed string by using
the sorted order of type B suffixes. */
k = SA + BUCKET_A(c2 = T[n - 1]);
*k++ = (T[n - 2] < c2) ? ~((int)T[n - 2]) : (n - 1);
/* Scan the suffix array from left to right. */
for(i = SA, j = SA + n, orig = SA; i < j; ++i) {
if(0 < (s = *i)) {
assert(T[s - 1] >= T[s]);
c0 = T[--s];
*i = c0;
if((0 < s) && (T[s - 1] < c0)) { s = ~((int)T[s - 1]); }
if(c0 != c2) {
BUCKET_A(c2) = k - SA;
k = SA + BUCKET_A(c2 = c0);
}
assert(i < k);
*k++ = s;
} else if(s != 0) {
*i = ~s;
} else {
orig = i;
}
}
return orig - SA;
}
/* Constructs the burrows-wheeler transformed string directly
by using the sorted order of type B* suffixes. */
static
int
construct_BWT_indexes(const unsigned char *T, int *SA,
int *bucket_A, int *bucket_B,
int n, int m,
unsigned char * num_indexes, int * indexes) {
int *i, *j, *k, *orig;
int s;
int c0, c1, c2;
int mod = n / 8;
{
mod |= mod >> 1; mod |= mod >> 2;
mod |= mod >> 4; mod |= mod >> 8;
mod |= mod >> 16; mod >>= 1;
*num_indexes = (unsigned char)((n - 1) / (mod + 1));
}
if(0 < m) {
/* Construct the sorted order of type B suffixes by using
the sorted order of type B* suffixes. */
for(c1 = ALPHABET_SIZE - 2; 0 <= c1; --c1) {
/* Scan the suffix array from right to left. */
for(i = SA + BUCKET_BSTAR(c1, c1 + 1),
j = SA + BUCKET_A(c1 + 1) - 1, k = NULL, c2 = -1;
i <= j;
--j) {
if(0 < (s = *j)) {
assert(T[s] == c1);
assert(((s + 1) < n) && (T[s] <= T[s + 1]));
assert(T[s - 1] <= T[s]);
if ((s & mod) == 0) indexes[s / (mod + 1) - 1] = j - SA;
c0 = T[--s];
*j = ~((int)c0);
if((0 < s) && (T[s - 1] > c0)) { s = ~s; }
if(c0 != c2) {
if(0 <= c2) { BUCKET_B(c2, c1) = k - SA; }
k = SA + BUCKET_B(c2 = c0, c1);
}
assert(k < j);
*k-- = s;
} else if(s != 0) {
*j = ~s;
#ifndef NDEBUG
} else {
assert(T[s] == c1);
#endif
}
}
}
}
/* Construct the BWTed string by using
the sorted order of type B suffixes. */
k = SA + BUCKET_A(c2 = T[n - 1]);
if (T[n - 2] < c2) {
if (((n - 1) & mod) == 0) indexes[(n - 1) / (mod + 1) - 1] = k - SA;
*k++ = ~((int)T[n - 2]);
}
else {
*k++ = n - 1;
}
/* Scan the suffix array from left to right. */
for(i = SA, j = SA + n, orig = SA; i < j; ++i) {
if(0 < (s = *i)) {
assert(T[s - 1] >= T[s]);
if ((s & mod) == 0) indexes[s / (mod + 1) - 1] = i - SA;
c0 = T[--s];
*i = c0;
if(c0 != c2) {
BUCKET_A(c2) = k - SA;
k = SA + BUCKET_A(c2 = c0);
}
assert(i < k);
if((0 < s) && (T[s - 1] < c0)) {
if ((s & mod) == 0) indexes[s / (mod + 1) - 1] = k - SA;
*k++ = ~((int)T[s - 1]);
} else
*k++ = s;
} else if(s != 0) {
*i = ~s;
} else {
orig = i;
}
}
return orig - SA;
}
/*---------------------------------------------------------------------------*/
/*- Function -*/
int
divsufsort(const unsigned char *T, int *SA, int n, int openMP) {
int *bucket_A, *bucket_B;
int m;
int err = 0;
/* Check arguments. */
if((T == NULL) || (SA == NULL) || (n < 0)) { return -1; }
else if(n == 0) { return 0; }
else if(n == 1) { SA[0] = 0; return 0; }
else if(n == 2) { m = (T[0] < T[1]); SA[m ^ 1] = 0, SA[m] = 1; return 0; }
bucket_A = (int *)malloc(BUCKET_A_SIZE * sizeof(int));
bucket_B = (int *)malloc(BUCKET_B_SIZE * sizeof(int));
/* Suffixsort. */
if((bucket_A != NULL) && (bucket_B != NULL)) {
m = sort_typeBstar(T, SA, bucket_A, bucket_B, n, openMP);
construct_SA(T, SA, bucket_A, bucket_B, n, m);
} else {
err = -2;
}
free(bucket_B);
free(bucket_A);
return err;
}
int
divbwt(const unsigned char *T, unsigned char *U, int *A, int n, unsigned char * num_indexes, int * indexes, int openMP) {
int *B;
int *bucket_A, *bucket_B;
int m, pidx, i;
/* Check arguments. */
if((T == NULL) || (U == NULL) || (n < 0)) { return -1; }
else if(n <= 1) { if(n == 1) { U[0] = T[0]; } return n; }
if((B = A) == NULL) { B = (int *)malloc((size_t)(n + 1) * sizeof(int)); }
bucket_A = (int *)malloc(BUCKET_A_SIZE * sizeof(int));
bucket_B = (int *)malloc(BUCKET_B_SIZE * sizeof(int));
/* Burrows-Wheeler Transform. */
if((B != NULL) && (bucket_A != NULL) && (bucket_B != NULL)) {
m = sort_typeBstar(T, B, bucket_A, bucket_B, n, openMP);
if (num_indexes == NULL || indexes == NULL) {
pidx = construct_BWT(T, B, bucket_A, bucket_B, n, m);
} else {
pidx = construct_BWT_indexes(T, B, bucket_A, bucket_B, n, m, num_indexes, indexes);
}
/* Copy to output string. */
U[0] = T[n - 1];
for(i = 0; i < pidx; ++i) { U[i + 1] = (unsigned char)B[i]; }
for(i += 1; i < n; ++i) { U[i] = (unsigned char)B[i]; }
pidx += 1;
} else {
pidx = -2;
}
free(bucket_B);
free(bucket_A);
if(A == NULL) { free(B); }
return pidx;
}
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