6 #include "list-objects.h"
8 #include "sha1-lookup.h"
9 #include "run-command.h"
12 #include "sha1-array.h"
13 #include "argv-array.h"
15 static struct sha1_array good_revs
;
16 static struct sha1_array skipped_revs
;
18 static struct object_id
*current_bad_oid
;
20 static const char *argv_checkout
[] = {"checkout", "-q", NULL
, "--", NULL
};
21 static const char *argv_show_branch
[] = {"show-branch", NULL
, NULL
};
22 static const char *argv_update_ref
[] = {"update-ref", "--no-deref", "BISECT_HEAD", NULL
, NULL
};
24 /* Remember to update object flag allocation in object.h */
25 #define COUNTED (1u<<16)
28 * This is a truly stupid algorithm, but it's only
29 * used for bisection, and we just don't care enough.
31 * We care just barely enough to avoid recursing for
34 static int count_distance(struct commit_list
*entry
)
39 struct commit
*commit
= entry
->item
;
40 struct commit_list
*p
;
42 if (commit
->object
.flags
& (UNINTERESTING
| COUNTED
))
44 if (!(commit
->object
.flags
& TREESAME
))
46 commit
->object
.flags
|= COUNTED
;
52 nr
+= count_distance(p
);
61 static void clear_distance(struct commit_list
*list
)
64 struct commit
*commit
= list
->item
;
65 commit
->object
.flags
&= ~COUNTED
;
70 #define DEBUG_BISECT 0
72 static inline int weight(struct commit_list
*elem
)
74 return *((int*)(elem
->item
->util
));
77 static inline void weight_set(struct commit_list
*elem
, int weight
)
79 *((int*)(elem
->item
->util
)) = weight
;
82 static int count_interesting_parents(struct commit
*commit
)
84 struct commit_list
*p
;
87 for (count
= 0, p
= commit
->parents
; p
; p
= p
->next
) {
88 if (p
->item
->object
.flags
& UNINTERESTING
)
95 static inline int halfway(struct commit_list
*p
, int nr
)
98 * Don't short-cut something we are not going to return!
100 if (p
->item
->object
.flags
& TREESAME
)
105 * 2 and 3 are halfway of 5.
106 * 3 is halfway of 6 but 2 and 4 are not.
108 switch (2 * weight(p
) - nr
) {
109 case -1: case 0: case 1:
117 #define show_list(a,b,c,d) do { ; } while (0)
119 static void show_list(const char *debug
, int counted
, int nr
,
120 struct commit_list
*list
)
122 struct commit_list
*p
;
124 fprintf(stderr
, "%s (%d/%d)\n", debug
, counted
, nr
);
126 for (p
= list
; p
; p
= p
->next
) {
127 struct commit_list
*pp
;
128 struct commit
*commit
= p
->item
;
129 unsigned flags
= commit
->object
.flags
;
130 enum object_type type
;
132 char *buf
= read_sha1_file(commit
->object
.sha1
, &type
, &size
);
133 const char *subject_start
;
136 fprintf(stderr
, "%c%c%c ",
137 (flags
& TREESAME
) ? ' ' : 'T',
138 (flags
& UNINTERESTING
) ? 'U' : ' ',
139 (flags
& COUNTED
) ? 'C' : ' ');
141 fprintf(stderr
, "%3d", weight(p
));
143 fprintf(stderr
, "---");
144 fprintf(stderr
, " %.*s", 8, sha1_to_hex(commit
->object
.sha1
));
145 for (pp
= commit
->parents
; pp
; pp
= pp
->next
)
146 fprintf(stderr
, " %.*s", 8,
147 sha1_to_hex(pp
->item
->object
.sha1
));
149 subject_len
= find_commit_subject(buf
, &subject_start
);
151 fprintf(stderr
, " %.*s", subject_len
, subject_start
);
152 fprintf(stderr
, "\n");
155 #endif /* DEBUG_BISECT */
157 static struct commit_list
*best_bisection(struct commit_list
*list
, int nr
)
159 struct commit_list
*p
, *best
;
160 int best_distance
= -1;
163 for (p
= list
; p
; p
= p
->next
) {
165 unsigned flags
= p
->item
->object
.flags
;
167 if (flags
& TREESAME
)
169 distance
= weight(p
);
170 if (nr
- distance
< distance
)
171 distance
= nr
- distance
;
172 if (distance
> best_distance
) {
174 best_distance
= distance
;
182 struct commit
*commit
;
186 static int compare_commit_dist(const void *a_
, const void *b_
)
188 struct commit_dist
*a
, *b
;
190 a
= (struct commit_dist
*)a_
;
191 b
= (struct commit_dist
*)b_
;
192 if (a
->distance
!= b
->distance
)
193 return b
->distance
- a
->distance
; /* desc sort */
194 return hashcmp(a
->commit
->object
.sha1
, b
->commit
->object
.sha1
);
197 static struct commit_list
*best_bisection_sorted(struct commit_list
*list
, int nr
)
199 struct commit_list
*p
;
200 struct commit_dist
*array
= xcalloc(nr
, sizeof(*array
));
203 for (p
= list
, cnt
= 0; p
; p
= p
->next
) {
205 unsigned flags
= p
->item
->object
.flags
;
207 if (flags
& TREESAME
)
209 distance
= weight(p
);
210 if (nr
- distance
< distance
)
211 distance
= nr
- distance
;
212 array
[cnt
].commit
= p
->item
;
213 array
[cnt
].distance
= distance
;
216 qsort(array
, cnt
, sizeof(*array
), compare_commit_dist
);
217 for (p
= list
, i
= 0; i
< cnt
; i
++) {
218 char buf
[100]; /* enough for dist=%d */
219 struct object
*obj
= &(array
[i
].commit
->object
);
221 snprintf(buf
, sizeof(buf
), "dist=%d", array
[i
].distance
);
222 add_name_decoration(DECORATION_NONE
, buf
, obj
);
224 p
->item
= array
[i
].commit
;
234 * zero or positive weight is the number of interesting commits it can
235 * reach, including itself. Especially, weight = 0 means it does not
236 * reach any tree-changing commits (e.g. just above uninteresting one
237 * but traversal is with pathspec).
239 * weight = -1 means it has one parent and its distance is yet to
242 * weight = -2 means it has more than one parent and its distance is
243 * unknown. After running count_distance() first, they will get zero
244 * or positive distance.
246 static struct commit_list
*do_find_bisection(struct commit_list
*list
,
247 int nr
, int *weights
,
251 struct commit_list
*p
;
255 for (n
= 0, p
= list
; p
; p
= p
->next
) {
256 struct commit
*commit
= p
->item
;
257 unsigned flags
= commit
->object
.flags
;
259 p
->item
->util
= &weights
[n
++];
260 switch (count_interesting_parents(commit
)) {
262 if (!(flags
& TREESAME
)) {
265 show_list("bisection 2 count one",
269 * otherwise, it is known not to reach any
270 * tree-changing commit and gets weight 0.
282 show_list("bisection 2 initialize", counted
, nr
, list
);
285 * If you have only one parent in the resulting set
286 * then you can reach one commit more than that parent
287 * can reach. So we do not have to run the expensive
288 * count_distance() for single strand of pearls.
290 * However, if you have more than one parents, you cannot
291 * just add their distance and one for yourself, since
292 * they usually reach the same ancestor and you would
293 * end up counting them twice that way.
295 * So we will first count distance of merges the usual
296 * way, and then fill the blanks using cheaper algorithm.
298 for (p
= list
; p
; p
= p
->next
) {
299 if (p
->item
->object
.flags
& UNINTERESTING
)
303 weight_set(p
, count_distance(p
));
304 clear_distance(list
);
306 /* Does it happen to be at exactly half-way? */
307 if (!find_all
&& halfway(p
, nr
))
312 show_list("bisection 2 count_distance", counted
, nr
, list
);
314 while (counted
< nr
) {
315 for (p
= list
; p
; p
= p
->next
) {
316 struct commit_list
*q
;
317 unsigned flags
= p
->item
->object
.flags
;
321 for (q
= p
->item
->parents
; q
; q
= q
->next
) {
322 if (q
->item
->object
.flags
& UNINTERESTING
)
331 * weight for p is unknown but q is known.
332 * add one for p itself if p is to be counted,
333 * otherwise inherit it from q directly.
335 if (!(flags
& TREESAME
)) {
336 weight_set(p
, weight(q
)+1);
338 show_list("bisection 2 count one",
342 weight_set(p
, weight(q
));
344 /* Does it happen to be at exactly half-way? */
345 if (!find_all
&& halfway(p
, nr
))
350 show_list("bisection 2 counted all", counted
, nr
, list
);
353 return best_bisection(list
, nr
);
355 return best_bisection_sorted(list
, nr
);
358 struct commit_list
*find_bisection(struct commit_list
*list
,
359 int *reaches
, int *all
,
363 struct commit_list
*p
, *best
, *next
, *last
;
366 show_list("bisection 2 entry", 0, 0, list
);
369 * Count the number of total and tree-changing items on the
370 * list, while reversing the list.
372 for (nr
= on_list
= 0, last
= NULL
, p
= list
;
375 unsigned flags
= p
->item
->object
.flags
;
378 if (flags
& UNINTERESTING
)
382 if (!(flags
& TREESAME
))
387 show_list("bisection 2 sorted", 0, nr
, list
);
390 weights
= xcalloc(on_list
, sizeof(*weights
));
392 /* Do the real work of finding bisection commit. */
393 best
= do_find_bisection(list
, nr
, weights
, find_all
);
397 *reaches
= weight(best
);
403 static int register_ref(const char *refname
, const struct object_id
*oid
,
404 int flags
, void *cb_data
)
406 if (!strcmp(refname
, "bad")) {
407 current_bad_oid
= xmalloc(sizeof(*current_bad_oid
));
408 oidcpy(current_bad_oid
, oid
);
409 } else if (starts_with(refname
, "good-")) {
410 sha1_array_append(&good_revs
, oid
->hash
);
411 } else if (starts_with(refname
, "skip-")) {
412 sha1_array_append(&skipped_revs
, oid
->hash
);
418 static int read_bisect_refs(void)
420 return for_each_ref_in("refs/bisect/", register_ref
, NULL
);
423 static void read_bisect_paths(struct argv_array
*array
)
425 struct strbuf str
= STRBUF_INIT
;
426 const char *filename
= git_path("BISECT_NAMES");
427 FILE *fp
= fopen(filename
, "r");
430 die_errno("Could not open file '%s'", filename
);
432 while (strbuf_getline(&str
, fp
, '\n') != EOF
) {
434 if (sq_dequote_to_argv_array(str
.buf
, array
))
435 die("Badly quoted content in file '%s': %s",
439 strbuf_release(&str
);
443 static char *join_sha1_array_hex(struct sha1_array
*array
, char delim
)
445 struct strbuf joined_hexs
= STRBUF_INIT
;
448 for (i
= 0; i
< array
->nr
; i
++) {
449 strbuf_addstr(&joined_hexs
, sha1_to_hex(array
->sha1
[i
]));
450 if (i
+ 1 < array
->nr
)
451 strbuf_addch(&joined_hexs
, delim
);
454 return strbuf_detach(&joined_hexs
, NULL
);
458 * In this function, passing a not NULL skipped_first is very special.
459 * It means that we want to know if the first commit in the list is
460 * skipped because we will want to test a commit away from it if it is
462 * So if the first commit is skipped, we cannot take the shortcut to
463 * just "return list" when we find the first non skipped commit, we
464 * have to return a fully filtered list.
466 * We use (*skipped_first == -1) to mean "it has been found that the
467 * first commit is not skipped". In this case *skipped_first is set back
468 * to 0 just before the function returns.
470 struct commit_list
*filter_skipped(struct commit_list
*list
,
471 struct commit_list
**tried
,
476 struct commit_list
*filtered
= NULL
, **f
= &filtered
;
485 if (!skipped_revs
.nr
)
489 struct commit_list
*next
= list
->next
;
491 if (0 <= sha1_array_lookup(&skipped_revs
,
492 list
->item
->object
.sha1
)) {
493 if (skipped_first
&& !*skipped_first
)
495 /* Move current to tried list */
500 if (!skipped_first
|| !*skipped_first
)
502 } else if (skipped_first
&& !*skipped_first
) {
503 /* This means we know it's not skipped */
506 /* Move current to filtered list */
515 if (skipped_first
&& *skipped_first
== -1)
521 #define PRN_MODULO 32768
524 * This is a pseudo random number generator based on "man 3 rand".
525 * It is not used properly because the seed is the argument and it
526 * is increased by one between each call, but that should not matter
527 * for this application.
529 static unsigned get_prn(unsigned count
) {
530 count
= count
* 1103515245 + 12345;
531 return (count
/65536) % PRN_MODULO
;
535 * Custom integer square root from
536 * http://en.wikipedia.org/wiki/Integer_square_root
538 static int sqrti(int val
)
546 float y
= (x
+ (float)val
/ x
) / 2;
547 d
= (y
> x
) ? y
- x
: x
- y
;
554 static struct commit_list
*skip_away(struct commit_list
*list
, int count
)
556 struct commit_list
*cur
, *previous
;
559 prn
= get_prn(count
);
560 index
= (count
* prn
/ PRN_MODULO
) * sqrti(prn
) / sqrti(PRN_MODULO
);
565 for (i
= 0; cur
; cur
= cur
->next
, i
++) {
567 if (hashcmp(cur
->item
->object
.sha1
, current_bad_oid
->hash
))
579 static struct commit_list
*managed_skipped(struct commit_list
*list
,
580 struct commit_list
**tried
)
582 int count
, skipped_first
;
586 if (!skipped_revs
.nr
)
589 list
= filter_skipped(list
, tried
, 0, &count
, &skipped_first
);
594 return skip_away(list
, count
);
597 static void bisect_rev_setup(struct rev_info
*revs
, const char *prefix
,
598 const char *bad_format
, const char *good_format
,
601 struct argv_array rev_argv
= ARGV_ARRAY_INIT
;
604 init_revisions(revs
, prefix
);
606 revs
->commit_format
= CMIT_FMT_UNSPECIFIED
;
608 /* rev_argv.argv[0] will be ignored by setup_revisions */
609 argv_array_push(&rev_argv
, "bisect_rev_setup");
610 argv_array_pushf(&rev_argv
, bad_format
, oid_to_hex(current_bad_oid
));
611 for (i
= 0; i
< good_revs
.nr
; i
++)
612 argv_array_pushf(&rev_argv
, good_format
,
613 sha1_to_hex(good_revs
.sha1
[i
]));
614 argv_array_push(&rev_argv
, "--");
616 read_bisect_paths(&rev_argv
);
618 setup_revisions(rev_argv
.argc
, rev_argv
.argv
, revs
, NULL
);
619 /* XXX leak rev_argv, as "revs" may still be pointing to it */
622 static void bisect_common(struct rev_info
*revs
)
624 if (prepare_revision_walk(revs
))
625 die("revision walk setup failed");
626 if (revs
->tree_objects
)
627 mark_edges_uninteresting(revs
, NULL
);
630 static void exit_if_skipped_commits(struct commit_list
*tried
,
631 const struct object_id
*bad
)
636 printf("There are only 'skip'ped commits left to test.\n"
637 "The first bad commit could be any of:\n");
638 print_commit_list(tried
, "%s\n", "%s\n");
640 printf("%s\n", oid_to_hex(bad
));
641 printf("We cannot bisect more!\n");
645 static int is_expected_rev(const struct object_id
*oid
)
647 const char *filename
= git_path("BISECT_EXPECTED_REV");
649 struct strbuf str
= STRBUF_INIT
;
653 if (stat(filename
, &st
) || !S_ISREG(st
.st_mode
))
656 fp
= fopen(filename
, "r");
660 if (strbuf_getline(&str
, fp
, '\n') != EOF
)
661 res
= !strcmp(str
.buf
, oid_to_hex(oid
));
663 strbuf_release(&str
);
669 static void mark_expected_rev(char *bisect_rev_hex
)
671 int len
= strlen(bisect_rev_hex
);
672 const char *filename
= git_path("BISECT_EXPECTED_REV");
673 int fd
= open(filename
, O_CREAT
| O_TRUNC
| O_WRONLY
, 0600);
676 die_errno("could not create file '%s'", filename
);
678 bisect_rev_hex
[len
] = '\n';
679 write_or_die(fd
, bisect_rev_hex
, len
+ 1);
680 bisect_rev_hex
[len
] = '\0';
683 die("closing file %s: %s", filename
, strerror(errno
));
686 static int bisect_checkout(char *bisect_rev_hex
, int no_checkout
)
689 mark_expected_rev(bisect_rev_hex
);
691 argv_checkout
[2] = bisect_rev_hex
;
693 argv_update_ref
[3] = bisect_rev_hex
;
694 if (run_command_v_opt(argv_update_ref
, RUN_GIT_CMD
))
695 die("update-ref --no-deref HEAD failed on %s",
699 res
= run_command_v_opt(argv_checkout
, RUN_GIT_CMD
);
704 argv_show_branch
[1] = bisect_rev_hex
;
705 return run_command_v_opt(argv_show_branch
, RUN_GIT_CMD
);
708 static struct commit
*get_commit_reference(const unsigned char *sha1
)
710 struct commit
*r
= lookup_commit_reference(sha1
);
712 die("Not a valid commit name %s", sha1_to_hex(sha1
));
716 static struct commit
**get_bad_and_good_commits(int *rev_nr
)
718 int len
= 1 + good_revs
.nr
;
719 struct commit
**rev
= xmalloc(len
* sizeof(*rev
));
722 rev
[n
++] = get_commit_reference(current_bad_oid
->hash
);
723 for (i
= 0; i
< good_revs
.nr
; i
++)
724 rev
[n
++] = get_commit_reference(good_revs
.sha1
[i
]);
730 static void handle_bad_merge_base(void)
732 if (is_expected_rev(current_bad_oid
)) {
733 char *bad_hex
= oid_to_hex(current_bad_oid
);
734 char *good_hex
= join_sha1_array_hex(&good_revs
, ' ');
736 fprintf(stderr
, "The merge base %s is bad.\n"
737 "This means the bug has been fixed "
738 "between %s and [%s].\n",
739 bad_hex
, bad_hex
, good_hex
);
744 fprintf(stderr
, "Some good revs are not ancestor of the bad rev.\n"
745 "git bisect cannot work properly in this case.\n"
746 "Maybe you mistake good and bad revs?\n");
750 static void handle_skipped_merge_base(const unsigned char *mb
)
752 char *mb_hex
= sha1_to_hex(mb
);
753 char *bad_hex
= sha1_to_hex(current_bad_oid
->hash
);
754 char *good_hex
= join_sha1_array_hex(&good_revs
, ' ');
756 warning("the merge base between %s and [%s] "
758 "So we cannot be sure the first bad commit is "
759 "between %s and %s.\n"
760 "We continue anyway.",
761 bad_hex
, good_hex
, mb_hex
, bad_hex
);
766 * "check_merge_bases" checks that merge bases are not "bad".
768 * - If one is "bad", it means the user assumed something wrong
769 * and we must exit with a non 0 error code.
770 * - If one is "good", that's good, we have nothing to do.
771 * - If one is "skipped", we can't know but we should warn.
772 * - If we don't know, we should check it out and ask the user to test.
774 static void check_merge_bases(int no_checkout
)
776 struct commit_list
*result
;
778 struct commit
**rev
= get_bad_and_good_commits(&rev_nr
);
780 result
= get_merge_bases_many(rev
[0], rev_nr
- 1, rev
+ 1);
782 for (; result
; result
= result
->next
) {
783 const unsigned char *mb
= result
->item
->object
.sha1
;
784 if (!hashcmp(mb
, current_bad_oid
->hash
)) {
785 handle_bad_merge_base();
786 } else if (0 <= sha1_array_lookup(&good_revs
, mb
)) {
788 } else if (0 <= sha1_array_lookup(&skipped_revs
, mb
)) {
789 handle_skipped_merge_base(mb
);
791 printf("Bisecting: a merge base must be tested\n");
792 exit(bisect_checkout(sha1_to_hex(mb
), no_checkout
));
797 free_commit_list(result
);
800 static int check_ancestors(const char *prefix
)
802 struct rev_info revs
;
803 struct object_array pending_copy
;
806 bisect_rev_setup(&revs
, prefix
, "^%s", "%s", 0);
808 /* Save pending objects, so they can be cleaned up later. */
809 pending_copy
= revs
.pending
;
810 revs
.leak_pending
= 1;
813 * bisect_common calls prepare_revision_walk right away, which
814 * (together with .leak_pending = 1) makes us the sole owner of
815 * the list of pending objects.
817 bisect_common(&revs
);
818 res
= (revs
.commits
!= NULL
);
820 /* Clean up objects used, as they will be reused. */
821 clear_commit_marks_for_object_array(&pending_copy
, ALL_REV_FLAGS
);
822 free(pending_copy
.objects
);
828 * "check_good_are_ancestors_of_bad" checks that all "good" revs are
829 * ancestor of the "bad" rev.
831 * If that's not the case, we need to check the merge bases.
832 * If a merge base must be tested by the user, its source code will be
833 * checked out to be tested by the user and we will exit.
835 static void check_good_are_ancestors_of_bad(const char *prefix
, int no_checkout
)
837 char *filename
= git_pathdup("BISECT_ANCESTORS_OK");
841 if (!current_bad_oid
)
842 die("a bad revision is needed");
844 /* Check if file BISECT_ANCESTORS_OK exists. */
845 if (!stat(filename
, &st
) && S_ISREG(st
.st_mode
))
848 /* Bisecting with no good rev is ok. */
849 if (good_revs
.nr
== 0)
852 /* Check if all good revs are ancestor of the bad rev. */
853 if (check_ancestors(prefix
))
854 check_merge_bases(no_checkout
);
856 /* Create file BISECT_ANCESTORS_OK. */
857 fd
= open(filename
, O_CREAT
| O_TRUNC
| O_WRONLY
, 0600);
859 warning("could not create file '%s': %s",
860 filename
, strerror(errno
));
868 * This does "git diff-tree --pretty COMMIT" without one fork+exec.
870 static void show_diff_tree(const char *prefix
, struct commit
*commit
)
875 init_revisions(&opt
, prefix
);
876 git_config(git_diff_basic_config
, NULL
); /* no "diff" UI options */
880 /* This is what "--pretty" does */
881 opt
.verbose_header
= 1;
882 opt
.use_terminator
= 0;
883 opt
.commit_format
= CMIT_FMT_DEFAULT
;
886 if (!opt
.diffopt
.output_format
)
887 opt
.diffopt
.output_format
= DIFF_FORMAT_RAW
;
889 log_tree_commit(&opt
, commit
);
893 * We use the convention that exiting with an exit code 10 means that
894 * the bisection process finished successfully.
895 * In this case the calling shell script should exit 0.
897 * If no_checkout is non-zero, the bisection process does not
898 * checkout the trial commit but instead simply updates BISECT_HEAD.
900 int bisect_next_all(const char *prefix
, int no_checkout
)
902 struct rev_info revs
;
903 struct commit_list
*tried
;
904 int reaches
= 0, all
= 0, nr
, steps
;
905 const unsigned char *bisect_rev
;
906 char bisect_rev_hex
[GIT_SHA1_HEXSZ
+ 1];
908 if (read_bisect_refs())
909 die("reading bisect refs failed");
911 check_good_are_ancestors_of_bad(prefix
, no_checkout
);
913 bisect_rev_setup(&revs
, prefix
, "%s", "^%s", 1);
916 bisect_common(&revs
);
918 revs
.commits
= find_bisection(revs
.commits
, &reaches
, &all
,
920 revs
.commits
= managed_skipped(revs
.commits
, &tried
);
924 * We should exit here only if the "bad"
925 * commit is also a "skip" commit.
927 exit_if_skipped_commits(tried
, NULL
);
929 printf("%s was both good and bad\n",
930 oid_to_hex(current_bad_oid
));
935 fprintf(stderr
, "No testable commit found.\n"
936 "Maybe you started with bad path parameters?\n");
940 bisect_rev
= revs
.commits
->item
->object
.sha1
;
941 memcpy(bisect_rev_hex
, sha1_to_hex(bisect_rev
), GIT_SHA1_HEXSZ
+ 1);
943 if (!hashcmp(bisect_rev
, current_bad_oid
->hash
)) {
944 exit_if_skipped_commits(tried
, current_bad_oid
);
945 printf("%s is the first bad commit\n", bisect_rev_hex
);
946 show_diff_tree(prefix
, revs
.commits
->item
);
947 /* This means the bisection process succeeded. */
951 nr
= all
- reaches
- 1;
952 steps
= estimate_bisect_steps(all
);
953 printf("Bisecting: %d revision%s left to test after this "
954 "(roughly %d step%s)\n", nr
, (nr
== 1 ? "" : "s"),
955 steps
, (steps
== 1 ? "" : "s"));
957 return bisect_checkout(bisect_rev_hex
, no_checkout
);
960 static inline int log2i(int n
)
964 for (; n
> 1; n
>>= 1)
970 static inline int exp2i(int n
)
976 * Estimate the number of bisect steps left (after the current step)
978 * For any x between 0 included and 2^n excluded, the probability for
979 * n - 1 steps left looks like:
981 * P(2^n + x) == (2^n - x) / (2^n + x)
983 * and P(2^n + x) < 0.5 means 2^n < 3x
985 int estimate_bisect_steps(int all
)
996 return (e
< 3 * x
) ? n
: n
- 1;