--- /dev/null
+/*
+ * divsufsort.c for libdivsufsort
+ * Copyright (c) 2003-2008 Yuta Mori All Rights Reserved.
+ *
+ * Permission is hereby granted, free of charge, to any person
+ * obtaining a copy of this software and associated documentation
+ * files (the "Software"), to deal in the Software without
+ * restriction, including without limitation the rights to use,
+ * copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the
+ * Software is furnished to do so, subject to the following
+ * conditions:
+ *
+ * The above copyright notice and this permission notice shall be
+ * included in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+ * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
+ * OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+ * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
+ * HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
+ * WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+ * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
+ * OTHER DEALINGS IN THE SOFTWARE.
+ */
+
+#include "divsufsort_private.h"
+#ifdef _OPENMP
+# include <omp.h>
+#endif
+
+/*- Private Functions -*/
+
+/* Sorts suffixes of type B*. */
+static
+saidx_t
+sort_typeBstar(const sauchar_t *T, saidx_t *SA,
+ saidx_t *bucket_A, saidx_t *bucket_B,
+ saidx_t n) {
+ saidx_t *PAb, *ISAb, *buf;
+ saidx_t i, j, k, t, m, bufsize;
+ saint_t c0, c1;
+
+ /* Initialize bucket arrays. */
+ for(i = 0; i < BUCKET_A_SIZE; ++i) { bucket_A[i] = 0; }
+ for(uint32_t 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. */
+ 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));
+ }
+ }
+ }
+
+ /* 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 sauchar_t *T, saidx_t *SA,
+ saidx_t *bucket_A, saidx_t *bucket_B,
+ saidx_t n, saidx_t m) {
+ saidx_t *i, *j, *k;
+ saidx_t s;
+ saint_t 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;
+ }
+ }
+}
+
+#if 0
+/* Constructs the burrows-wheeler transformed string directly
+ by using the sorted order of type B* suffixes. */
+static
+saidx_t
+construct_BWT(const sauchar_t *T, saidx_t *SA,
+ saidx_t *bucket_A, saidx_t *bucket_B,
+ saidx_t n, saidx_t m) {
+ saidx_t *i, *j, *k, *orig;
+ saidx_t s;
+ saint_t 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 = ~((saidx_t)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) ? ~((saidx_t)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 = ~((saidx_t)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;
+}
+#endif
+
+
+/*---------------------------------------------------------------------------*/
+
+/*- Function -*/
+
+/* XXX Modified from original: use provided temporary space instead of
+ * allocating it. */
+saint_t
+divsufsort(const sauchar_t *T, saidx_t *SA, saidx_t n,
+ saidx_t *bucket_A, saidx_t *bucket_B) {
+ saidx_t m;
+
+ switch (n) {
+ case 0:
+ break;
+
+ case 1:
+ SA[0] = 0;
+ break;
+
+ case 2:
+ m = (T[0] < T[1]);
+ SA[m ^ 1] = 0;
+ SA[m] = 1;
+ break;
+
+ default:
+ m = sort_typeBstar(T, SA, bucket_A, bucket_B, n);
+ construct_SA(T, SA, bucket_A, bucket_B, n, m);
+ break;
+ }
+ return 0;
+}
+
+#if 0
+saidx_t
+divbwt(const sauchar_t *T, sauchar_t *U, saidx_t *A, saidx_t n) {
+ saidx_t *B;
+ saidx_t *bucket_A, *bucket_B;
+ saidx_t 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 = (saidx_t *)malloc((size_t)(n + 1) * sizeof(saidx_t)); }
+ bucket_A = (saidx_t *)malloc(BUCKET_A_SIZE * sizeof(saidx_t));
+ bucket_B = (saidx_t *)malloc(BUCKET_B_SIZE * sizeof(saidx_t));
+
+ /* Burrows-Wheeler Transform. */
+ if((B != NULL) && (bucket_A != NULL) && (bucket_B != NULL)) {
+ m = sort_typeBstar(T, B, bucket_A, bucket_B, n);
+ pidx = construct_BWT(T, B, bucket_A, bucket_B, n, m);
+
+ /* Copy to output string. */
+ U[0] = T[n - 1];
+ for(i = 0; i < pidx; ++i) { U[i + 1] = (sauchar_t)B[i]; }
+ for(i += 1; i < n; ++i) { U[i] = (sauchar_t)B[i]; }
+ pidx += 1;
+ } else {
+ pidx = -2;
+ }
+
+ free(bucket_B);
+ free(bucket_A);
+ if(A == NULL) { free(B); }
+
+ return pidx;
+}
+#endif
+
+#if 0
+const char *
+divsufsort_version(void) {
+ return PROJECT_VERSION_FULL;
+}
+#endif
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