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 unsigned char *current_bad_sha1
;
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 /* bits #0-15 in revision.h */
26 #define COUNTED (1u<<16)
29 * This is a truly stupid algorithm, but it's only
30 * used for bisection, and we just don't care enough.
32 * We care just barely enough to avoid recursing for
35 static int count_distance(struct commit_list
*entry
)
40 struct commit
*commit
= entry
->item
;
41 struct commit_list
*p
;
43 if (commit
->object
.flags
& (UNINTERESTING
| COUNTED
))
45 if (!(commit
->object
.flags
& TREESAME
))
47 commit
->object
.flags
|= COUNTED
;
53 nr
+= count_distance(p
);
62 static void clear_distance(struct commit_list
*list
)
65 struct commit
*commit
= list
->item
;
66 commit
->object
.flags
&= ~COUNTED
;
71 #define DEBUG_BISECT 0
73 static inline int weight(struct commit_list
*elem
)
75 return *((int*)(elem
->item
->util
));
78 static inline void weight_set(struct commit_list
*elem
, int weight
)
80 *((int*)(elem
->item
->util
)) = weight
;
83 static int count_interesting_parents(struct commit
*commit
)
85 struct commit_list
*p
;
88 for (count
= 0, p
= commit
->parents
; p
; p
= p
->next
) {
89 if (p
->item
->object
.flags
& UNINTERESTING
)
96 static inline int halfway(struct commit_list
*p
, int nr
)
99 * Don't short-cut something we are not going to return!
101 if (p
->item
->object
.flags
& TREESAME
)
106 * 2 and 3 are halfway of 5.
107 * 3 is halfway of 6 but 2 and 4 are not.
109 switch (2 * weight(p
) - nr
) {
110 case -1: case 0: case 1:
118 #define show_list(a,b,c,d) do { ; } while (0)
120 static void show_list(const char *debug
, int counted
, int nr
,
121 struct commit_list
*list
)
123 struct commit_list
*p
;
125 fprintf(stderr
, "%s (%d/%d)\n", debug
, counted
, nr
);
127 for (p
= list
; p
; p
= p
->next
) {
128 struct commit_list
*pp
;
129 struct commit
*commit
= p
->item
;
130 unsigned flags
= commit
->object
.flags
;
131 enum object_type type
;
133 char *buf
= read_sha1_file(commit
->object
.sha1
, &type
, &size
);
134 const char *subject_start
;
137 fprintf(stderr
, "%c%c%c ",
138 (flags
& TREESAME
) ? ' ' : 'T',
139 (flags
& UNINTERESTING
) ? 'U' : ' ',
140 (flags
& COUNTED
) ? 'C' : ' ');
142 fprintf(stderr
, "%3d", weight(p
));
144 fprintf(stderr
, "---");
145 fprintf(stderr
, " %.*s", 8, sha1_to_hex(commit
->object
.sha1
));
146 for (pp
= commit
->parents
; pp
; pp
= pp
->next
)
147 fprintf(stderr
, " %.*s", 8,
148 sha1_to_hex(pp
->item
->object
.sha1
));
150 subject_len
= find_commit_subject(buf
, &subject_start
);
152 fprintf(stderr
, " %.*s", subject_len
, subject_start
);
153 fprintf(stderr
, "\n");
156 #endif /* DEBUG_BISECT */
158 static struct commit_list
*best_bisection(struct commit_list
*list
, int nr
)
160 struct commit_list
*p
, *best
;
161 int best_distance
= -1;
164 for (p
= list
; p
; p
= p
->next
) {
166 unsigned flags
= p
->item
->object
.flags
;
168 if (flags
& TREESAME
)
170 distance
= weight(p
);
171 if (nr
- distance
< distance
)
172 distance
= nr
- distance
;
173 if (distance
> best_distance
) {
175 best_distance
= distance
;
183 struct commit
*commit
;
187 static int compare_commit_dist(const void *a_
, const void *b_
)
189 struct commit_dist
*a
, *b
;
191 a
= (struct commit_dist
*)a_
;
192 b
= (struct commit_dist
*)b_
;
193 if (a
->distance
!= b
->distance
)
194 return b
->distance
- a
->distance
; /* desc sort */
195 return hashcmp(a
->commit
->object
.sha1
, b
->commit
->object
.sha1
);
198 static struct commit_list
*best_bisection_sorted(struct commit_list
*list
, int nr
)
200 struct commit_list
*p
;
201 struct commit_dist
*array
= xcalloc(nr
, sizeof(*array
));
204 for (p
= list
, cnt
= 0; p
; p
= p
->next
) {
206 unsigned flags
= p
->item
->object
.flags
;
208 if (flags
& TREESAME
)
210 distance
= weight(p
);
211 if (nr
- distance
< distance
)
212 distance
= nr
- distance
;
213 array
[cnt
].commit
= p
->item
;
214 array
[cnt
].distance
= distance
;
217 qsort(array
, cnt
, sizeof(*array
), compare_commit_dist
);
218 for (p
= list
, i
= 0; i
< cnt
; i
++) {
219 char buf
[100]; /* enough for dist=%d */
220 struct object
*obj
= &(array
[i
].commit
->object
);
222 snprintf(buf
, sizeof(buf
), "dist=%d", array
[i
].distance
);
223 add_name_decoration(DECORATION_NONE
, buf
, obj
);
225 p
->item
= array
[i
].commit
;
235 * zero or positive weight is the number of interesting commits it can
236 * reach, including itself. Especially, weight = 0 means it does not
237 * reach any tree-changing commits (e.g. just above uninteresting one
238 * but traversal is with pathspec).
240 * weight = -1 means it has one parent and its distance is yet to
243 * weight = -2 means it has more than one parent and its distance is
244 * unknown. After running count_distance() first, they will get zero
245 * or positive distance.
247 static struct commit_list
*do_find_bisection(struct commit_list
*list
,
248 int nr
, int *weights
,
252 struct commit_list
*p
;
256 for (n
= 0, p
= list
; p
; p
= p
->next
) {
257 struct commit
*commit
= p
->item
;
258 unsigned flags
= commit
->object
.flags
;
260 p
->item
->util
= &weights
[n
++];
261 switch (count_interesting_parents(commit
)) {
263 if (!(flags
& TREESAME
)) {
266 show_list("bisection 2 count one",
270 * otherwise, it is known not to reach any
271 * tree-changing commit and gets weight 0.
283 show_list("bisection 2 initialize", counted
, nr
, list
);
286 * If you have only one parent in the resulting set
287 * then you can reach one commit more than that parent
288 * can reach. So we do not have to run the expensive
289 * count_distance() for single strand of pearls.
291 * However, if you have more than one parents, you cannot
292 * just add their distance and one for yourself, since
293 * they usually reach the same ancestor and you would
294 * end up counting them twice that way.
296 * So we will first count distance of merges the usual
297 * way, and then fill the blanks using cheaper algorithm.
299 for (p
= list
; p
; p
= p
->next
) {
300 if (p
->item
->object
.flags
& UNINTERESTING
)
304 weight_set(p
, count_distance(p
));
305 clear_distance(list
);
307 /* Does it happen to be at exactly half-way? */
308 if (!find_all
&& halfway(p
, nr
))
313 show_list("bisection 2 count_distance", counted
, nr
, list
);
315 while (counted
< nr
) {
316 for (p
= list
; p
; p
= p
->next
) {
317 struct commit_list
*q
;
318 unsigned flags
= p
->item
->object
.flags
;
322 for (q
= p
->item
->parents
; q
; q
= q
->next
) {
323 if (q
->item
->object
.flags
& UNINTERESTING
)
332 * weight for p is unknown but q is known.
333 * add one for p itself if p is to be counted,
334 * otherwise inherit it from q directly.
336 if (!(flags
& TREESAME
)) {
337 weight_set(p
, weight(q
)+1);
339 show_list("bisection 2 count one",
343 weight_set(p
, weight(q
));
345 /* Does it happen to be at exactly half-way? */
346 if (!find_all
&& halfway(p
, nr
))
351 show_list("bisection 2 counted all", counted
, nr
, list
);
354 return best_bisection(list
, nr
);
356 return best_bisection_sorted(list
, nr
);
359 struct commit_list
*find_bisection(struct commit_list
*list
,
360 int *reaches
, int *all
,
364 struct commit_list
*p
, *best
, *next
, *last
;
367 show_list("bisection 2 entry", 0, 0, list
);
370 * Count the number of total and tree-changing items on the
371 * list, while reversing the list.
373 for (nr
= on_list
= 0, last
= NULL
, p
= list
;
376 unsigned flags
= p
->item
->object
.flags
;
379 if (flags
& UNINTERESTING
)
383 if (!(flags
& TREESAME
))
388 show_list("bisection 2 sorted", 0, nr
, list
);
391 weights
= xcalloc(on_list
, sizeof(*weights
));
393 /* Do the real work of finding bisection commit. */
394 best
= do_find_bisection(list
, nr
, weights
, find_all
);
398 *reaches
= weight(best
);
404 static int register_ref(const char *refname
, const unsigned char *sha1
,
405 int flags
, void *cb_data
)
407 if (!strcmp(refname
, "bad")) {
408 current_bad_sha1
= xmalloc(20);
409 hashcpy(current_bad_sha1
, sha1
);
410 } else if (starts_with(refname
, "good-")) {
411 sha1_array_append(&good_revs
, sha1
);
412 } else if (starts_with(refname
, "skip-")) {
413 sha1_array_append(&skipped_revs
, sha1
);
419 static int read_bisect_refs(void)
421 return for_each_ref_in("refs/bisect/", register_ref
, NULL
);
424 static void read_bisect_paths(struct argv_array
*array
)
426 struct strbuf str
= STRBUF_INIT
;
427 const char *filename
= git_path("BISECT_NAMES");
428 FILE *fp
= fopen(filename
, "r");
431 die_errno("Could not open file '%s'", filename
);
433 while (strbuf_getline(&str
, fp
, '\n') != EOF
) {
435 if (sq_dequote_to_argv_array(str
.buf
, array
))
436 die("Badly quoted content in file '%s': %s",
440 strbuf_release(&str
);
444 static char *join_sha1_array_hex(struct sha1_array
*array
, char delim
)
446 struct strbuf joined_hexs
= STRBUF_INIT
;
449 for (i
= 0; i
< array
->nr
; i
++) {
450 strbuf_addstr(&joined_hexs
, sha1_to_hex(array
->sha1
[i
]));
451 if (i
+ 1 < array
->nr
)
452 strbuf_addch(&joined_hexs
, delim
);
455 return strbuf_detach(&joined_hexs
, NULL
);
459 * In this function, passing a not NULL skipped_first is very special.
460 * It means that we want to know if the first commit in the list is
461 * skipped because we will want to test a commit away from it if it is
463 * So if the first commit is skipped, we cannot take the shortcut to
464 * just "return list" when we find the first non skipped commit, we
465 * have to return a fully filtered list.
467 * We use (*skipped_first == -1) to mean "it has been found that the
468 * first commit is not skipped". In this case *skipped_first is set back
469 * to 0 just before the function returns.
471 struct commit_list
*filter_skipped(struct commit_list
*list
,
472 struct commit_list
**tried
,
477 struct commit_list
*filtered
= NULL
, **f
= &filtered
;
486 if (!skipped_revs
.nr
)
490 struct commit_list
*next
= list
->next
;
492 if (0 <= sha1_array_lookup(&skipped_revs
,
493 list
->item
->object
.sha1
)) {
494 if (skipped_first
&& !*skipped_first
)
496 /* Move current to tried list */
501 if (!skipped_first
|| !*skipped_first
)
503 } else if (skipped_first
&& !*skipped_first
) {
504 /* This means we know it's not skipped */
507 /* Move current to filtered list */
516 if (skipped_first
&& *skipped_first
== -1)
522 #define PRN_MODULO 32768
525 * This is a pseudo random number generator based on "man 3 rand".
526 * It is not used properly because the seed is the argument and it
527 * is increased by one between each call, but that should not matter
528 * for this application.
530 static unsigned get_prn(unsigned count
) {
531 count
= count
* 1103515245 + 12345;
532 return (count
/65536) % PRN_MODULO
;
536 * Custom integer square root from
537 * http://en.wikipedia.org/wiki/Integer_square_root
539 static int sqrti(int val
)
547 float y
= (x
+ (float)val
/ x
) / 2;
548 d
= (y
> x
) ? y
- x
: x
- y
;
555 static struct commit_list
*skip_away(struct commit_list
*list
, int count
)
557 struct commit_list
*cur
, *previous
;
560 prn
= get_prn(count
);
561 index
= (count
* prn
/ PRN_MODULO
) * sqrti(prn
) / sqrti(PRN_MODULO
);
566 for (i
= 0; cur
; cur
= cur
->next
, i
++) {
568 if (hashcmp(cur
->item
->object
.sha1
, current_bad_sha1
))
580 static struct commit_list
*managed_skipped(struct commit_list
*list
,
581 struct commit_list
**tried
)
583 int count
, skipped_first
;
587 if (!skipped_revs
.nr
)
590 list
= filter_skipped(list
, tried
, 0, &count
, &skipped_first
);
595 return skip_away(list
, count
);
598 static void bisect_rev_setup(struct rev_info
*revs
, const char *prefix
,
599 const char *bad_format
, const char *good_format
,
602 struct argv_array rev_argv
= ARGV_ARRAY_INIT
;
605 init_revisions(revs
, prefix
);
607 revs
->commit_format
= CMIT_FMT_UNSPECIFIED
;
609 /* rev_argv.argv[0] will be ignored by setup_revisions */
610 argv_array_push(&rev_argv
, "bisect_rev_setup");
611 argv_array_pushf(&rev_argv
, bad_format
, sha1_to_hex(current_bad_sha1
));
612 for (i
= 0; i
< good_revs
.nr
; i
++)
613 argv_array_pushf(&rev_argv
, good_format
,
614 sha1_to_hex(good_revs
.sha1
[i
]));
615 argv_array_push(&rev_argv
, "--");
617 read_bisect_paths(&rev_argv
);
619 setup_revisions(rev_argv
.argc
, rev_argv
.argv
, revs
, NULL
);
620 /* XXX leak rev_argv, as "revs" may still be pointing to it */
623 static void bisect_common(struct rev_info
*revs
)
625 if (prepare_revision_walk(revs
))
626 die("revision walk setup failed");
627 if (revs
->tree_objects
)
628 mark_edges_uninteresting(revs
, NULL
);
631 static void exit_if_skipped_commits(struct commit_list
*tried
,
632 const unsigned char *bad
)
637 printf("There are only 'skip'ped commits left to test.\n"
638 "The first bad commit could be any of:\n");
639 print_commit_list(tried
, "%s\n", "%s\n");
641 printf("%s\n", sha1_to_hex(bad
));
642 printf("We cannot bisect more!\n");
646 static int is_expected_rev(const unsigned char *sha1
)
648 const char *filename
= git_path("BISECT_EXPECTED_REV");
650 struct strbuf str
= STRBUF_INIT
;
654 if (stat(filename
, &st
) || !S_ISREG(st
.st_mode
))
657 fp
= fopen(filename
, "r");
661 if (strbuf_getline(&str
, fp
, '\n') != EOF
)
662 res
= !strcmp(str
.buf
, sha1_to_hex(sha1
));
664 strbuf_release(&str
);
670 static void mark_expected_rev(char *bisect_rev_hex
)
672 int len
= strlen(bisect_rev_hex
);
673 const char *filename
= git_path("BISECT_EXPECTED_REV");
674 int fd
= open(filename
, O_CREAT
| O_TRUNC
| O_WRONLY
, 0600);
677 die_errno("could not create file '%s'", filename
);
679 bisect_rev_hex
[len
] = '\n';
680 write_or_die(fd
, bisect_rev_hex
, len
+ 1);
681 bisect_rev_hex
[len
] = '\0';
684 die("closing file %s: %s", filename
, strerror(errno
));
687 static int bisect_checkout(char *bisect_rev_hex
, int no_checkout
)
691 mark_expected_rev(bisect_rev_hex
);
693 argv_checkout
[2] = bisect_rev_hex
;
695 argv_update_ref
[3] = bisect_rev_hex
;
696 if (run_command_v_opt(argv_update_ref
, RUN_GIT_CMD
))
697 die("update-ref --no-deref HEAD failed on %s",
700 res
= run_command_v_opt(argv_checkout
, RUN_GIT_CMD
);
705 argv_show_branch
[1] = bisect_rev_hex
;
706 return run_command_v_opt(argv_show_branch
, RUN_GIT_CMD
);
709 static struct commit
*get_commit_reference(const unsigned char *sha1
)
711 struct commit
*r
= lookup_commit_reference(sha1
);
713 die("Not a valid commit name %s", sha1_to_hex(sha1
));
717 static struct commit
**get_bad_and_good_commits(int *rev_nr
)
719 int len
= 1 + good_revs
.nr
;
720 struct commit
**rev
= xmalloc(len
* sizeof(*rev
));
723 rev
[n
++] = get_commit_reference(current_bad_sha1
);
724 for (i
= 0; i
< good_revs
.nr
; i
++)
725 rev
[n
++] = get_commit_reference(good_revs
.sha1
[i
]);
731 static void handle_bad_merge_base(void)
733 if (is_expected_rev(current_bad_sha1
)) {
734 char *bad_hex
= sha1_to_hex(current_bad_sha1
);
735 char *good_hex
= join_sha1_array_hex(&good_revs
, ' ');
737 fprintf(stderr
, "The merge base %s is bad.\n"
738 "This means the bug has been fixed "
739 "between %s and [%s].\n",
740 bad_hex
, bad_hex
, good_hex
);
745 fprintf(stderr
, "Some good revs are not ancestor of the bad rev.\n"
746 "git bisect cannot work properly in this case.\n"
747 "Maybe you mistake good and bad revs?\n");
751 static void handle_skipped_merge_base(const unsigned char *mb
)
753 char *mb_hex
= sha1_to_hex(mb
);
754 char *bad_hex
= sha1_to_hex(current_bad_sha1
);
755 char *good_hex
= join_sha1_array_hex(&good_revs
, ' ');
757 warning("the merge base between %s and [%s] "
759 "So we cannot be sure the first bad commit is "
760 "between %s and %s.\n"
761 "We continue anyway.",
762 bad_hex
, good_hex
, mb_hex
, bad_hex
);
767 * "check_merge_bases" checks that merge bases are not "bad".
769 * - If one is "bad", it means the user assumed something wrong
770 * and we must exit with a non 0 error code.
771 * - If one is "good", that's good, we have nothing to do.
772 * - If one is "skipped", we can't know but we should warn.
773 * - If we don't know, we should check it out and ask the user to test.
775 static void check_merge_bases(int no_checkout
)
777 struct commit_list
*result
;
779 struct commit
**rev
= get_bad_and_good_commits(&rev_nr
);
781 result
= get_merge_bases_many(rev
[0], rev_nr
- 1, rev
+ 1, 0);
783 for (; result
; result
= result
->next
) {
784 const unsigned char *mb
= result
->item
->object
.sha1
;
785 if (!hashcmp(mb
, current_bad_sha1
)) {
786 handle_bad_merge_base();
787 } else if (0 <= sha1_array_lookup(&good_revs
, mb
)) {
789 } else if (0 <= sha1_array_lookup(&skipped_revs
, mb
)) {
790 handle_skipped_merge_base(mb
);
792 printf("Bisecting: a merge base must be tested\n");
793 exit(bisect_checkout(sha1_to_hex(mb
), no_checkout
));
798 free_commit_list(result
);
801 static int check_ancestors(const char *prefix
)
803 struct rev_info revs
;
804 struct object_array pending_copy
;
807 bisect_rev_setup(&revs
, prefix
, "^%s", "%s", 0);
809 /* Save pending objects, so they can be cleaned up later. */
810 pending_copy
= revs
.pending
;
811 revs
.leak_pending
= 1;
814 * bisect_common calls prepare_revision_walk right away, which
815 * (together with .leak_pending = 1) makes us the sole owner of
816 * the list of pending objects.
818 bisect_common(&revs
);
819 res
= (revs
.commits
!= NULL
);
821 /* Clean up objects used, as they will be reused. */
822 clear_commit_marks_for_object_array(&pending_copy
, ALL_REV_FLAGS
);
823 free(pending_copy
.objects
);
829 * "check_good_are_ancestors_of_bad" checks that all "good" revs are
830 * ancestor of the "bad" rev.
832 * If that's not the case, we need to check the merge bases.
833 * If a merge base must be tested by the user, its source code will be
834 * checked out to be tested by the user and we will exit.
836 static void check_good_are_ancestors_of_bad(const char *prefix
, int no_checkout
)
838 char *filename
= git_pathdup("BISECT_ANCESTORS_OK");
842 if (!current_bad_sha1
)
843 die("a bad revision is needed");
845 /* Check if file BISECT_ANCESTORS_OK exists. */
846 if (!stat(filename
, &st
) && S_ISREG(st
.st_mode
))
849 /* Bisecting with no good rev is ok. */
850 if (good_revs
.nr
== 0)
853 /* Check if all good revs are ancestor of the bad rev. */
854 if (check_ancestors(prefix
))
855 check_merge_bases(no_checkout
);
857 /* Create file BISECT_ANCESTORS_OK. */
858 fd
= open(filename
, O_CREAT
| O_TRUNC
| O_WRONLY
, 0600);
860 warning("could not create file '%s': %s",
861 filename
, strerror(errno
));
869 * This does "git diff-tree --pretty COMMIT" without one fork+exec.
871 static void show_diff_tree(const char *prefix
, struct commit
*commit
)
876 init_revisions(&opt
, prefix
);
877 git_config(git_diff_basic_config
, NULL
); /* no "diff" UI options */
881 /* This is what "--pretty" does */
882 opt
.verbose_header
= 1;
883 opt
.use_terminator
= 0;
884 opt
.commit_format
= CMIT_FMT_DEFAULT
;
887 if (!opt
.diffopt
.output_format
)
888 opt
.diffopt
.output_format
= DIFF_FORMAT_RAW
;
890 log_tree_commit(&opt
, commit
);
894 * We use the convention that exiting with an exit code 10 means that
895 * the bisection process finished successfully.
896 * In this case the calling shell script should exit 0.
898 * If no_checkout is non-zero, the bisection process does not
899 * checkout the trial commit but instead simply updates BISECT_HEAD.
901 int bisect_next_all(const char *prefix
, int no_checkout
)
903 struct rev_info revs
;
904 struct commit_list
*tried
;
905 int reaches
= 0, all
= 0, nr
, steps
;
906 const unsigned char *bisect_rev
;
907 char bisect_rev_hex
[41];
909 if (read_bisect_refs())
910 die("reading bisect refs failed");
912 check_good_are_ancestors_of_bad(prefix
, no_checkout
);
914 bisect_rev_setup(&revs
, prefix
, "%s", "^%s", 1);
917 bisect_common(&revs
);
919 revs
.commits
= find_bisection(revs
.commits
, &reaches
, &all
,
921 revs
.commits
= managed_skipped(revs
.commits
, &tried
);
925 * We should exit here only if the "bad"
926 * commit is also a "skip" commit.
928 exit_if_skipped_commits(tried
, NULL
);
930 printf("%s was both good and bad\n",
931 sha1_to_hex(current_bad_sha1
));
936 fprintf(stderr
, "No testable commit found.\n"
937 "Maybe you started with bad path parameters?\n");
941 bisect_rev
= revs
.commits
->item
->object
.sha1
;
942 memcpy(bisect_rev_hex
, sha1_to_hex(bisect_rev
), 41);
944 if (!hashcmp(bisect_rev
, current_bad_sha1
)) {
945 exit_if_skipped_commits(tried
, current_bad_sha1
);
946 printf("%s is the first bad commit\n", bisect_rev_hex
);
947 show_diff_tree(prefix
, revs
.commits
->item
);
948 /* This means the bisection process succeeded. */
952 nr
= all
- reaches
- 1;
953 steps
= estimate_bisect_steps(all
);
954 printf("Bisecting: %d revision%s left to test after this "
955 "(roughly %d step%s)\n", nr
, (nr
== 1 ? "" : "s"),
956 steps
, (steps
== 1 ? "" : "s"));
958 return bisect_checkout(bisect_rev_hex
, no_checkout
);
961 static inline int log2i(int n
)
965 for (; n
> 1; n
>>= 1)
971 static inline int exp2i(int n
)
977 * Estimate the number of bisect steps left (after the current step)
979 * For any x between 0 included and 2^n excluded, the probability for
980 * n - 1 steps left looks like:
982 * P(2^n + x) == (2^n - x) / (2^n + x)
984 * and P(2^n + x) < 0.5 means 2^n < 3x
986 int estimate_bisect_steps(int all
)
997 return (e
< 3 * x
) ? n
: n
- 1;