diff options
Diffstat (limited to 'src/zstd/lib/dictBuilder/divsufsort.c')
| -rw-r--r-- | src/zstd/lib/dictBuilder/divsufsort.c | 1913 |
1 files changed, 1913 insertions, 0 deletions
diff --git a/src/zstd/lib/dictBuilder/divsufsort.c b/src/zstd/lib/dictBuilder/divsufsort.c new file mode 100644 index 000000000..ead922044 --- /dev/null +++ b/src/zstd/lib/dictBuilder/divsufsort.c @@ -0,0 +1,1913 @@ +/* + * 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); assert(k != NULL); + *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); assert(k != NULL); + *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); assert(k != NULL); + *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; +} |