There are quite some use cases where users run into the current limit for
{g,u}id mappings. Consider a user requesting us to map everything but 999, and
1001 for a given range of 1000000000 with a sub{g,u}id layout of:

some-user:100000:1000000000
some-user:999:1
some-user:1000:1
some-user:1001:1
some-user:1002:1

This translates to:

MAPPING-TYPE | CONTAINER |    HOST |     RANGE |
-------------|-----------|---------|-----------|
         uid |       999 |     999 |         1 |
         uid |      1001 |    1001 |         1 |
         uid |         0 | 1000000 |       999 |
         uid |      1000 | 1001000 |         1 |
         uid |      1002 | 1001002 | 999998998 |
------------------------------------------------
         gid |       999 |     999 |         1 |
         gid |      1001 |    1001 |         1 |
         gid |         0 | 1000000 |       999 |
         gid |      1000 | 1001000 |         1 |
         gid |      1002 | 1001002 | 999998998 |

which is already the current limit.

As discussed at LPC simply bumping the number of limits is not going to work
since this would mean that struct uid_gid_map won't fit into a single cache-line
anymore thereby regressing performance for the base-cases. The same problem
seems to arise when using a single pointer. So the idea is to use

struct uid_gid_extent {
	u32 first;
	u32 lower_first;
	u32 count;
};

struct uid_gid_map { /* 64 bytes -- 1 cache line */
	u32 nr_extents;
	union {
		struct uid_gid_extent extent[UID_GID_MAP_MAX_BASE_EXTENTS];
		struct {
			struct uid_gid_extent *forward;
			struct uid_gid_extent *reverse;
		};
	};
};

For the base cases we will only use the struct uid_gid_extent extent member. If
we go over UID_GID_MAP_MAX_BASE_EXTENTS mappings we perform a single 4k
kmalloc() which means we can have a maximum of 340 mappings
(340 * size(struct uid_gid_extent) = 4080). For the latter case we use two
pointers "forward" and "reverse". The forward pointer points to an array sorted
by "first" and the reverse pointer points to an array sorted by "lower_first".
We can then perform binary search on those arrays.

Performance Testing:
When Eric introduced the extent-based struct uid_gid_map approach he measured
the performanc impact of his idmap changes:

> My benchmark consisted of going to single user mode where nothing else was
> running. On an ext4 filesystem opening 1,000,000 files and looping through all
> of the files 1000 times and calling fstat on the individuals files. This was
> to ensure I was benchmarking stat times where the inodes were in the kernels
> cache, but the inode values were not in the processors cache. My results:

> v3.4-rc1:         ~= 156ns (unmodified v3.4-rc1 with user namespace support disabled)
> v3.4-rc1-userns-: ~= 155ns (v3.4-rc1 with my user namespace patches and user namespace support disabled)
> v3.4-rc1-userns+: ~= 164ns (v3.4-rc1 with my user namespace patches and user namespace support enabled)

I used an identical approach on my laptop. Here's a thorough description of what
I did. I built a 4.14.0-rc4 mainline kernel with my new idmap patches applied. I
booted into single user mode and used an ext4 filesystem to open/create
1,000,000 files. Then I looped through all of the files calling fstat() on each
of them 1000 times and calculated the mean fstat() time for a single file. (The
test program can be found below.)

Here are the results. For fun, I compared the first version of my patch which
scaled linearly with the new version of the patch:

|   # MAPPINGS |   PATCH-V1 | PATCH-NEW |
|--------------|------------|-----------|
|   0 mappings |     158 ns |   158 ns  |
|   1 mappings |     164 ns |   157 ns  |
|   2 mappings |     170 ns |   158 ns  |
|   3 mappings |     175 ns |   161 ns  |
|   5 mappings |     187 ns |   165 ns  |
|  10 mappings |     218 ns |   199 ns  |
|  50 mappings |     528 ns |   218 ns  |
| 100 mappings |     980 ns |   229 ns  |
| 200 mappings |    1880 ns |   239 ns  |
| 300 mappings |    2760 ns |   240 ns  |
| 340 mappings | not tested |   248 ns  |

Here's the test program I used. I asked Eric what he did and this is a more
"advanced" implementation of the idea. It's pretty straight-forward:

 #define __GNU_SOURCE
 #define __STDC_FORMAT_MACROS
 #include <errno.h>
 #include <dirent.h>
 #include <fcntl.h>
 #include <inttypes.h>
 #include <stdio.h>
 #include <stdlib.h>
 #include <string.h>
 #include <unistd.h>
 #include <sys/stat.h>
 #include <sys/time.h>
 #include <sys/types.h>

 int main(int argc, char *argv[])
 {
 	int ret;
 	size_t i, k;
 	int fd[1000000];
 	int times[1000];
 	char pathname[4096];
 	struct stat st;
 	struct timeval t1, t2;
 	uint64_t time_in_mcs;
 	uint64_t sum = 0;

 	if (argc != 2) {
 		fprintf(stderr, "Please specify a directory where to create "
 				"the test files\n");
 		exit(EXIT_FAILURE);
 	}

 	for (i = 0; i < sizeof(fd) / sizeof(fd[0]); i++) {
 		sprintf(pathname, "%s/idmap_test_%zu", argv[1], i);
 		fd[i]= open(pathname, O_RDWR | O_CREAT, S_IXUSR | S_IXGRP | S_IXOTH);
 		if (fd[i] < 0) {
 			ssize_t j;
 			for (j = i; j >= 0; j--)
 				close(fd[j]);
 			exit(EXIT_FAILURE);
 		}
 	}

 	for (k = 0; k < 1000; k++) {
 		ret = gettimeofday(&t1, NULL);
 		if (ret < 0)
 			goto close_all;

 		for (i = 0; i < sizeof(fd) / sizeof(fd[0]); i++) {
 			ret = fstat(fd[i], &st);
 			if (ret < 0)
 				goto close_all;
 		}

 		ret = gettimeofday(&t2, NULL);
 		if (ret < 0)
 			goto close_all;

 		time_in_mcs = (1000000 * t2.tv_sec + t2.tv_usec) -
 			      (1000000 * t1.tv_sec + t1.tv_usec);
 		printf("Total time in micro seconds:       %" PRIu64 "\n",
 		       time_in_mcs);
 		printf("Total time in nanoseconds:         %" PRIu64 "\n",
 		       time_in_mcs * 1000);
 		printf("Time per file in nanoseconds:      %" PRIu64 "\n",
 		       (time_in_mcs * 1000) / 1000000);
 		times[k] = (time_in_mcs * 1000) / 1000000;
 	}

 close_all:
 	for (i = 0; i < sizeof(fd) / sizeof(fd[0]); i++)
 		close(fd[i]);

 	if (ret < 0)
 		exit(EXIT_FAILURE);

 	for (k = 0; k < 1000; k++) {
 		sum += times[k];
 	}

 	printf("Mean time per file in nanoseconds: %" PRIu64 "\n", sum / 1000);

 	exit(EXIT_SUCCESS);;
 }
Signed-off-by: Christian Brauner <christian.brauner@ubuntu.com>
CC: Serge Hallyn <serge@hallyn.com>
CC: Eric Biederman <ebiederm@xmission.com>
Signed-off-by: Eric W. Biederman <ebiederm@xmission.com>