|  | /* Copyright (C) 1991-2023 Free Software Foundation, Inc. | 
|  | This file is part of libctf (imported from Gnulib). | 
|  | Written by Douglas C. Schmidt (schmidt@ics.uci.edu). | 
|  |  | 
|  | The GNU C Library is free software; you can redistribute it and/or | 
|  | modify it under the terms of the GNU Lesser General Public | 
|  | License as published by the Free Software Foundation; either | 
|  | version 2.1 of the License, or (at your option) any later version. | 
|  |  | 
|  | The GNU C Library is distributed in the hope that it will be useful, | 
|  | but WITHOUT ANY WARRANTY; without even the implied warranty of | 
|  | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU | 
|  | Lesser General Public License for more details. | 
|  |  | 
|  | You should have received a copy of the GNU Lesser General Public | 
|  | License along with the GNU C Library; if not, see | 
|  | <https://www.gnu.org/licenses/>.  */ | 
|  |  | 
|  | /* If you consider tuning this algorithm, you should consult first: | 
|  | Engineering a sort function; Jon Bentley and M. Douglas McIlroy; | 
|  | Software - Practice and Experience; Vol. 23 (11), 1249-1265, 1993.  */ | 
|  |  | 
|  | #ifndef _LIBC | 
|  | # include <config.h> | 
|  | #endif | 
|  |  | 
|  | #include <limits.h> | 
|  | #include <stdlib.h> | 
|  | #include <string.h> | 
|  | #include "ctf-decls.h" | 
|  |  | 
|  | #ifndef _LIBC | 
|  | # define _quicksort ctf_qsort_r | 
|  | # define __compar_d_fn_t compar_d_fn_t | 
|  | typedef int (*compar_d_fn_t) (const void *, const void *, void *); | 
|  | #endif | 
|  |  | 
|  | /* Byte-wise swap two items of size SIZE. */ | 
|  | #define SWAP(a, b, size)						      \ | 
|  | do									      \ | 
|  | {									      \ | 
|  | size_t __size = (size);						      \ | 
|  | char *__a = (a), *__b = (b);					      \ | 
|  | do								      \ | 
|  | {								      \ | 
|  | char __tmp = *__a;						      \ | 
|  | *__a++ = *__b;						      \ | 
|  | *__b++ = __tmp;						      \ | 
|  | } while (--__size > 0);						      \ | 
|  | } while (0) | 
|  |  | 
|  | /* Discontinue quicksort algorithm when partition gets below this size. | 
|  | This particular magic number was chosen to work best on a Sun 4/260. */ | 
|  | #define MAX_THRESH 4 | 
|  |  | 
|  | /* Stack node declarations used to store unfulfilled partition obligations. */ | 
|  | typedef struct | 
|  | { | 
|  | char *lo; | 
|  | char *hi; | 
|  | } stack_node; | 
|  |  | 
|  | /* The next 4 #defines implement a very fast in-line stack abstraction. */ | 
|  | /* The stack needs log (total_elements) entries (we could even subtract | 
|  | log(MAX_THRESH)).  Since total_elements has type size_t, we get as | 
|  | upper bound for log (total_elements): | 
|  | bits per byte (CHAR_BIT) * sizeof(size_t).  */ | 
|  | #define STACK_SIZE	(CHAR_BIT * sizeof(size_t)) | 
|  | #define PUSH(low, high)	((void) ((top->lo = (low)), (top->hi = (high)), ++top)) | 
|  | #define	POP(low, high)	((void) (--top, (low = top->lo), (high = top->hi))) | 
|  | #define	STACK_NOT_EMPTY	(stack < top) | 
|  |  | 
|  |  | 
|  | /* Order size using quicksort.  This implementation incorporates | 
|  | four optimizations discussed in Sedgewick: | 
|  |  | 
|  | 1. Non-recursive, using an explicit stack of pointer that store the | 
|  | next array partition to sort.  To save time, this maximum amount | 
|  | of space required to store an array of SIZE_MAX is allocated on the | 
|  | stack.  Assuming a 32-bit (64 bit) integer for size_t, this needs | 
|  | only 32 * sizeof(stack_node) == 256 bytes (for 64 bit: 1024 bytes). | 
|  | Pretty cheap, actually. | 
|  |  | 
|  | 2. Chose the pivot element using a median-of-three decision tree. | 
|  | This reduces the probability of selecting a bad pivot value and | 
|  | eliminates certain extraneous comparisons. | 
|  |  | 
|  | 3. Only quicksorts TOTAL_ELEMS / MAX_THRESH partitions, leaving | 
|  | insertion sort to order the MAX_THRESH items within each partition. | 
|  | This is a big win, since insertion sort is faster for small, mostly | 
|  | sorted array segments. | 
|  |  | 
|  | 4. The larger of the two sub-partitions is always pushed onto the | 
|  | stack first, with the algorithm then concentrating on the | 
|  | smaller partition.  This *guarantees* no more than log (total_elems) | 
|  | stack size is needed (actually O(1) in this case)!  */ | 
|  |  | 
|  | void | 
|  | _quicksort (void *const pbase, size_t total_elems, size_t size, | 
|  | __compar_d_fn_t cmp, void *arg) | 
|  | { | 
|  | char *base_ptr = (char *) pbase; | 
|  |  | 
|  | const size_t max_thresh = MAX_THRESH * size; | 
|  |  | 
|  | if (total_elems == 0) | 
|  | /* Avoid lossage with unsigned arithmetic below.  */ | 
|  | return; | 
|  |  | 
|  | if (total_elems > MAX_THRESH) | 
|  | { | 
|  | char *lo = base_ptr; | 
|  | char *hi = &lo[size * (total_elems - 1)]; | 
|  | stack_node stack[STACK_SIZE]; | 
|  | stack_node *top = stack; | 
|  |  | 
|  | PUSH (NULL, NULL); | 
|  |  | 
|  | while (STACK_NOT_EMPTY) | 
|  | { | 
|  | char *left_ptr; | 
|  | char *right_ptr; | 
|  |  | 
|  | /* Select median value from among LO, MID, and HI. Rearrange | 
|  | LO and HI so the three values are sorted. This lowers the | 
|  | probability of picking a pathological pivot value and | 
|  | skips a comparison for both the LEFT_PTR and RIGHT_PTR in | 
|  | the while loops. */ | 
|  |  | 
|  | char *mid = lo + size * ((hi - lo) / size >> 1); | 
|  |  | 
|  | if ((*cmp) ((void *) mid, (void *) lo, arg) < 0) | 
|  | SWAP (mid, lo, size); | 
|  | if ((*cmp) ((void *) hi, (void *) mid, arg) < 0) | 
|  | SWAP (mid, hi, size); | 
|  | else | 
|  | goto jump_over; | 
|  | if ((*cmp) ((void *) mid, (void *) lo, arg) < 0) | 
|  | SWAP (mid, lo, size); | 
|  | jump_over:; | 
|  |  | 
|  | left_ptr  = lo + size; | 
|  | right_ptr = hi - size; | 
|  |  | 
|  | /* Here's the famous ``collapse the walls'' section of quicksort. | 
|  | Gotta like those tight inner loops!  They are the main reason | 
|  | that this algorithm runs much faster than others. */ | 
|  | do | 
|  | { | 
|  | while ((*cmp) ((void *) left_ptr, (void *) mid, arg) < 0) | 
|  | left_ptr += size; | 
|  |  | 
|  | while ((*cmp) ((void *) mid, (void *) right_ptr, arg) < 0) | 
|  | right_ptr -= size; | 
|  |  | 
|  | if (left_ptr < right_ptr) | 
|  | { | 
|  | SWAP (left_ptr, right_ptr, size); | 
|  | if (mid == left_ptr) | 
|  | mid = right_ptr; | 
|  | else if (mid == right_ptr) | 
|  | mid = left_ptr; | 
|  | left_ptr += size; | 
|  | right_ptr -= size; | 
|  | } | 
|  | else if (left_ptr == right_ptr) | 
|  | { | 
|  | left_ptr += size; | 
|  | right_ptr -= size; | 
|  | break; | 
|  | } | 
|  | } | 
|  | while (left_ptr <= right_ptr); | 
|  |  | 
|  | /* Set up pointers for next iteration.  First determine whether | 
|  | left and right partitions are below the threshold size.  If so, | 
|  | ignore one or both.  Otherwise, push the larger partition's | 
|  | bounds on the stack and continue sorting the smaller one. */ | 
|  |  | 
|  | if ((size_t) (right_ptr - lo) <= max_thresh) | 
|  | { | 
|  | if ((size_t) (hi - left_ptr) <= max_thresh) | 
|  | /* Ignore both small partitions. */ | 
|  | POP (lo, hi); | 
|  | else | 
|  | /* Ignore small left partition. */ | 
|  | lo = left_ptr; | 
|  | } | 
|  | else if ((size_t) (hi - left_ptr) <= max_thresh) | 
|  | /* Ignore small right partition. */ | 
|  | hi = right_ptr; | 
|  | else if ((right_ptr - lo) > (hi - left_ptr)) | 
|  | { | 
|  | /* Push larger left partition indices. */ | 
|  | PUSH (lo, right_ptr); | 
|  | lo = left_ptr; | 
|  | } | 
|  | else | 
|  | { | 
|  | /* Push larger right partition indices. */ | 
|  | PUSH (left_ptr, hi); | 
|  | hi = right_ptr; | 
|  | } | 
|  | } | 
|  | } | 
|  |  | 
|  | /* Once the BASE_PTR array is partially sorted by quicksort the rest | 
|  | is completely sorted using insertion sort, since this is efficient | 
|  | for partitions below MAX_THRESH size. BASE_PTR points to the beginning | 
|  | of the array to sort, and END_PTR points at the very last element in | 
|  | the array (*not* one beyond it!). */ | 
|  |  | 
|  | #define min(x, y) ((x) < (y) ? (x) : (y)) | 
|  |  | 
|  | { | 
|  | char *const end_ptr = &base_ptr[size * (total_elems - 1)]; | 
|  | char *tmp_ptr = base_ptr; | 
|  | char *thresh = min(end_ptr, base_ptr + max_thresh); | 
|  | char *run_ptr; | 
|  |  | 
|  | /* Find smallest element in first threshold and place it at the | 
|  | array's beginning.  This is the smallest array element, | 
|  | and the operation speeds up insertion sort's inner loop. */ | 
|  |  | 
|  | for (run_ptr = tmp_ptr + size; run_ptr <= thresh; run_ptr += size) | 
|  | if ((*cmp) ((void *) run_ptr, (void *) tmp_ptr, arg) < 0) | 
|  | tmp_ptr = run_ptr; | 
|  |  | 
|  | if (tmp_ptr != base_ptr) | 
|  | SWAP (tmp_ptr, base_ptr, size); | 
|  |  | 
|  | /* Insertion sort, running from left-hand-side up to right-hand-side.  */ | 
|  |  | 
|  | run_ptr = base_ptr + size; | 
|  | while ((run_ptr += size) <= end_ptr) | 
|  | { | 
|  | tmp_ptr = run_ptr - size; | 
|  | while ((*cmp) ((void *) run_ptr, (void *) tmp_ptr, arg) < 0) | 
|  | tmp_ptr -= size; | 
|  |  | 
|  | tmp_ptr += size; | 
|  | if (tmp_ptr != run_ptr) | 
|  | { | 
|  | char *trav; | 
|  |  | 
|  | trav = run_ptr + size; | 
|  | while (--trav >= run_ptr) | 
|  | { | 
|  | char c = *trav; | 
|  | char *hi, *lo; | 
|  |  | 
|  | for (hi = lo = trav; (lo -= size) >= tmp_ptr; hi = lo) | 
|  | *hi = *lo; | 
|  | *hi = c; | 
|  | } | 
|  | } | 
|  | } | 
|  | } | 
|  | } |