The old links didn't point to valid locations. Replace the old links with the new links and test those changes with a small script: https://github.com/initBasti/markdown_link_check . ______________________________________________________________ In order to find and replace the links, I used the following commands: grep -rwohP '.' -e "\(https\:\/\/0xax.gitbooks.io\/\S*\)" > links.txt (Find all links recursivly in the project directories and print out the only the matches links) Within links.txt: Remove the '(' & ')' => :%s/\(//g and :%s/\)//g Remove duplicates => :sort u Test if the links work with: python3 md_link_check.py --pattern 0xax.gitbook --output-file bad.txt (https://github.com/initBasti/markdown_link_check) Create replace commands: :%s/.*/grep -rl & '.' | xargs sed -i 's#&##g' Enter replacement URL between the 2nd & 3rd '#' Execute commands: :w !sh Signed-off-by: Sebastian Fricke <sebastian.fricke.linux@gmail.com>
29 KiB
Introduction
During the writing of the linux-insides book I have received many emails with questions related to the linker script and linker-related subjects. So I've decided to write this to cover some aspects of the linker and the linking of object files.
If we open the Linker
page on Wikipedia, we will see following definition:
In computer science, a linker or link editor is a computer program that takes one or more object files generated by a compiler and combines them into a single executable file, library file, or another object file.
If you've written at least one program on C in your life, you will have seen files with the *.o
extension. These files are object files. Object files are blocks of machine code and data with placeholder addresses that reference data and functions in other object files or libraries, as well as a list of its own functions and data. The main purpose of the linker is collect/handle the code and data of each object file, turning it into the final executable file or library. In this post we will try to go through all aspects of this process. Let's start.
Linking process
Let's create a simple project with the following structure:
*-linkers
*--main.c
*--lib.c
*--lib.h
Our main.c
source code file contains:
#include <stdio.h>
#include "lib.h"
int main(int argc, char **argv) {
printf("factorial of 5 is: %d\n", factorial(5));
return 0;
}
The lib.c
file contains:
int factorial(int base) {
int res,i = 1;
if (base == 0) {
return 1;
}
while (i <= base) {
res *= i;
i++;
}
return res;
}
And the lib.h
file contains:
#ifndef LIB_H
#define LIB_H
int factorial(int base);
#endif
Now let's compile only the main.c
source code file with:
$ gcc -c main.c
If we look inside the outputted object file with the nm
util, we will see the
following output:
$ nm -A main.o
main.o: U factorial
main.o:0000000000000000 T main
main.o: U printf
The nm
util allows us to see the list of symbols from the given object file. It consists of three columns: the first is the name of the given object file and the address of any resolved symbols. The second column contains a character that represents the status of the given symbol. In this case the U
means undefined
and the T
denotes that the symbols are placed in the .text
section of the object. The nm
utility shows us here that we have three symbols in the main.c
source code file:
factorial
- the factorial function defined in thelib.c
source code file. It is marked asundefined
here because we compiled only themain.c
source code file, and it does not know anything about code from thelib.c
file for now;main
- the main function;printf
- the function from the glibc library.main.c
does not know anything about it for now either.
What can we understand from the output of nm
so far? The main.o
object file contains the local symbol main
at address 0000000000000000
(it will be filled with correct address after is is linked), and two unresolved symbols. We can see all of this information in the disassembly output of the main.o
object file:
$ objdump -S main.o
main.o: file format elf64-x86-64
Disassembly of section .text:
0000000000000000 <main>:
0: 55 push %rbp
1: 48 89 e5 mov %rsp,%rbp
4: 48 83 ec 10 sub $0x10,%rsp
8: 89 7d fc mov %edi,-0x4(%rbp)
b: 48 89 75 f0 mov %rsi,-0x10(%rbp)
f: bf 05 00 00 00 mov $0x5,%edi
14: e8 00 00 00 00 callq 19 <main+0x19>
19: 89 c6 mov %eax,%esi
1b: bf 00 00 00 00 mov $0x0,%edi
20: b8 00 00 00 00 mov $0x0,%eax
25: e8 00 00 00 00 callq 2a <main+0x2a>
2a: b8 00 00 00 00 mov $0x0,%eax
2f: c9 leaveq
30: c3 retq
Here we are interested only in the two callq
operations. The two callq
operations contain linker stubs
, or the function name and offset from it to the next instruction. These stubs will be updated to the real addresses of the functions. We can see these functions' names with in the following objdump
output:
$ objdump -S -r main.o
...
14: e8 00 00 00 00 callq 19 <main+0x19>
15: R_X86_64_PC32 factorial-0x4
19: 89 c6 mov %eax,%esi
...
25: e8 00 00 00 00 callq 2a <main+0x2a>
26: R_X86_64_PC32 printf-0x4
2a: b8 00 00 00 00 mov $0x0,%eax
...
The -r
or --reloc
flags of the objdump
util print the relocation
entries of the file. Now let's look in more detail at the relocation process.
Relocation
Relocation is the process of connecting symbolic references with symbolic definitions. Let's look at the previous snippet from the objdump
output:
14: e8 00 00 00 00 callq 19 <main+0x19>
15: R_X86_64_PC32 factorial-0x4
19: 89 c6 mov %eax,%esi
Note the e8 00 00 00 00
on the first line. The e8
is the opcode of the call
, and the remainder of the line is a relative offset. So the e8 00 00 00 00
contains a one-byte operation code followed by a four-byte address. Note that the 00 00 00 00
is 4-bytes. Why only 4-bytes if an address can be 8-bytes in a x86_64
(64-bit) machine? Actually we compiled the main.c
source code file with the -mcmodel=small
! From the gcc
man page:
-mcmodel=small
Generate code for the small code model: the program and its symbols must be linked in the lower 2 GB of the address space. Pointers are 64 bits. Programs can be statically or dynamically linked. This is the default code model.
Of course we didn't pass this option to the gcc
when we compiled the main.c
, but it is the default. We know that our program will be linked in the lower 2 GB of the address space from the gcc
manual extract above. Four bytes is therefore enough for this. So we have opcode of the call
instruction and an unknown address. When we compile main.c
with all its dependencies to an executable file, and then look at the factorial call we see:
$ gcc main.c lib.c -o factorial | objdump -S factorial | grep factorial
factorial: file format elf64-x86-64
...
...
0000000000400506 <main>:
40051a: e8 18 00 00 00 callq 400537 <factorial>
...
...
0000000000400537 <factorial>:
400550: 75 07 jne 400559 <factorial+0x22>
400557: eb 1b jmp 400574 <factorial+0x3d>
400559: eb 0e jmp 400569 <factorial+0x32>
40056f: 7e ea jle 40055b <factorial+0x24>
...
...
As we can see in the previous output, the address of the main
function is 0x0000000000400506
. Why it does not start from 0x0
? You may already know that standard C programs are linked with the glibc
C standard library (assuming the -nostdlib
was not passed to the gcc
). The compiled code for a program includes constructor functions to initialize data in the program when the program is started. These functions need to be called before the program is started, or in another words before the main
function is called. To make the initialization and termination functions work, the compiler must output something in the assembler code to cause those functions to be called at the appropriate time. Execution of this program will start from the code placed in the special .init
section. We can see this in the beginning of the objdump output:
objdump -S factorial | less
factorial: file format elf64-x86-64
Disassembly of section .init:
00000000004003a8 <_init>:
4003a8: 48 83 ec 08 sub $0x8,%rsp
4003ac: 48 8b 05 a5 05 20 00 mov 0x2005a5(%rip),%rax # 600958 <_DYNAMIC+0x1d0>
Not that it starts at the 0x00000000004003a8
address relative to the glibc
code. We can check it also in the ELF output by running readelf
:
$ readelf -d factorial | grep \(INIT\)
0x000000000000000c (INIT) 0x4003a8
So, the address of the main
function is 0000000000400506
and is offset from the .init
section. As we can see from the output, the address of the factorial
function is 0x0000000000400537
and binary code for the call of the factorial
function now is e8 18 00 00 00
. We already know that e8
is opcode for the call
instruction, the next 18 00 00 00
(note that address represented as little endian for x86_64
, so it is 00 00 00 18
) is the offset from the callq
to the factorial
function:
>>> hex(0x40051a + 0x18 + 0x5) == hex(0x400537)
True
So we add 0x18
and 0x5
to the address of the call
instruction. The offset is measured from the address of the following instruction. Our call instruction is 5-bytes long (e8 18 00 00 00
) and the 0x18
is the offset after the call instruction to the factorial
function. A compiler generally creates each object file with the program addresses starting at zero. But if a program is created from multiple object files, these will overlap.
What we have seen in this section is the relocation
process. This process assigns load addresses to the various parts of the program, adjusting the code and data in the program to reflect the assigned addresses.
Ok, now that we know a little about linkers and relocation it is time to learn more about linkers by linking our object files.
GNU linker
As you can understand from the title, I will use GNU linker or just ld
in this post. Of course we can use gcc
to link our factorial
project:
$ gcc main.c lib.o -o factorial
and after it we will get executable file - factorial
as a result:
./factorial
factorial of 5 is: 120
But gcc
does not link object files. Instead it uses collect2
which is just wrapper for the GNU ld
linker:
~$ /usr/lib/gcc/x86_64-linux-gnu/4.9/collect2 --version
collect2 version 4.9.3
/usr/bin/ld --version
GNU ld (GNU Binutils for Debian) 2.25
...
...
...
Ok, we can use gcc and it will produce executable file of our program for us. But let's look how to use GNU ld
linker for the same purpose. First of all let's try to link these object files with the following example:
ld main.o lib.o -o factorial
Try to do it and you will get following error:
$ ld main.o lib.o -o factorial
ld: warning: cannot find entry symbol _start; defaulting to 00000000004000b0
main.o: In function `main':
main.c:(.text+0x26): undefined reference to `printf'
Here we can see two problems:
- Linker can't find
_start
symbol; - Linker does not know anything about
printf
function.
First of all let's try to understand what is this _start
entry symbol that appears to be required for our program to run? When I started to learn programming I learned that the main
function is the entry point of the program. I think you learned this too :) But it actually isn't the entry point, it's _start
instead. The _start
symbol is defined in the crt1.o
object file. We can find it with the following command:
$ objdump -S /usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crt1.o
/usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crt1.o: file format elf64-x86-64
Disassembly of section .text:
0000000000000000 <_start>:
0: 31 ed xor %ebp,%ebp
2: 49 89 d1 mov %rdx,%r9
...
...
...
We pass this object file to the ld
command as its first argument (see above). Now let's try to link it and will look on result:
ld /usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crt1.o \
main.o lib.o -o factorial
/usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crt1.o: In function `_start':
/tmp/buildd/glibc-2.19/csu/../sysdeps/x86_64/start.S:115: undefined reference to `__libc_csu_fini'
/tmp/buildd/glibc-2.19/csu/../sysdeps/x86_64/start.S:116: undefined reference to `__libc_csu_init'
/tmp/buildd/glibc-2.19/csu/../sysdeps/x86_64/start.S:122: undefined reference to `__libc_start_main'
main.o: In function `main':
main.c:(.text+0x26): undefined reference to `printf'
Unfortunately we will see even more errors. We can see here old error about undefined printf
and yet another three undefined references:
__libc_csu_fini
__libc_csu_init
__libc_start_main
The _start
symbol is defined in the sysdeps/x86_64/start.S assembly file in the glibc
source code. We can find following assembly code lines there:
mov $__libc_csu_fini, %R8_LP
mov $__libc_csu_init, %RCX_LP
...
call __libc_start_main
Here we pass address of the entry point to the .init
and .fini
section that contain code that starts to execute when the program is ran and the code that executes when program terminates. And in the end we see the call of the main
function from our program. These three symbols are defined in the csu/elf-init.c source code file. The following two object files:
crtn.o
;crti.o
.
define the function prologs/epilogs for the .init and .fini sections (with the _init
and _fini
symbols respectively).
The crtn.o
object file contains these .init
and .fini
sections:
$ objdump -S /usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crtn.o
0000000000000000 <.init>:
0: 48 83 c4 08 add $0x8,%rsp
4: c3 retq
Disassembly of section .fini:
0000000000000000 <.fini>:
0: 48 83 c4 08 add $0x8,%rsp
4: c3 retq
And the crti.o
object file contains the _init
and _fini
symbols. Let's try to link again with these two object files:
$ ld \
/usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crt1.o \
/usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crti.o \
/usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crtn.o main.o lib.o \
-o factorial
And anyway we will get the same errors. Now we need to pass -lc
option to the ld
. This option will search for the standard library in the paths present in the $LD_LIBRARY_PATH
environment variable. Let's try to link again wit the -lc
option:
$ ld \
/usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crt1.o \
/usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crti.o \
/usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crtn.o main.o lib.o -lc \
-o factorial
Finally we get an executable file, but if we try to run it, we will get strange results:
$ ./factorial
bash: ./factorial: No such file or directory
What's the problem here? Let's look on the executable file with the readelf util:
$ readelf -l factorial
Elf file type is EXEC (Executable file)
Entry point 0x4003c0
There are 7 program headers, starting at offset 64
Program Headers:
Type Offset VirtAddr PhysAddr
FileSiz MemSiz Flags Align
PHDR 0x0000000000000040 0x0000000000400040 0x0000000000400040
0x0000000000000188 0x0000000000000188 R E 8
INTERP 0x00000000000001c8 0x00000000004001c8 0x00000000004001c8
0x000000000000001c 0x000000000000001c R 1
[Requesting program interpreter: /lib64/ld-linux-x86-64.so.2]
LOAD 0x0000000000000000 0x0000000000400000 0x0000000000400000
0x0000000000000610 0x0000000000000610 R E 200000
LOAD 0x0000000000000610 0x0000000000600610 0x0000000000600610
0x00000000000001cc 0x00000000000001cc RW 200000
DYNAMIC 0x0000000000000610 0x0000000000600610 0x0000000000600610
0x0000000000000190 0x0000000000000190 RW 8
NOTE 0x00000000000001e4 0x00000000004001e4 0x00000000004001e4
0x0000000000000020 0x0000000000000020 R 4
GNU_STACK 0x0000000000000000 0x0000000000000000 0x0000000000000000
0x0000000000000000 0x0000000000000000 RW 10
Section to Segment mapping:
Segment Sections...
00
01 .interp
02 .interp .note.ABI-tag .hash .dynsym .dynstr .gnu.version .gnu.version_r .rela.dyn .rela.plt .init .plt .text .fini .rodata .eh_frame
03 .dynamic .got .got.plt .data
04 .dynamic
05 .note.ABI-tag
06
Note on the strange line:
INTERP 0x00000000000001c8 0x00000000004001c8 0x00000000004001c8
0x000000000000001c 0x000000000000001c R 1
[Requesting program interpreter: /lib64/ld-linux-x86-64.so.2]
The .interp
section in the elf
file holds the path name of a program interpreter or in another words the .interp
section simply contains an ascii
string that is the name of the dynamic linker. The dynamic linker is the part of Linux that loads and links shared libraries needed by an executable when it is executed, by copying the content of libraries from disk to RAM. As we can see in the output of the readelf
command it is placed in the /lib64/ld-linux-x86-64.so.2
file for the x86_64
architecture. Now let's add the -dynamic-linker
option with the path of ld-linux-x86-64.so.2
to the ld
call and will see the following results:
$ gcc -c main.c lib.c
$ ld \
/usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crt1.o \
/usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crti.o \
/usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crtn.o main.o lib.o \
-dynamic-linker /lib64/ld-linux-x86-64.so.2 \
-lc -o factorial
Now we can run it as normal executable file:
$ ./factorial
factorial of 5 is: 120
It works! With the first line we compile the main.c
and the lib.c
source code files to object files. We will get the main.o
and the lib.o
after execution of the gcc
:
$ file lib.o main.o
lib.o: ELF 64-bit LSB relocatable, x86-64, version 1 (SYSV), not stripped
main.o: ELF 64-bit LSB relocatable, x86-64, version 1 (SYSV), not stripped
and after this we link object files of our program with the needed system object files and libraries. We just saw a simple example of how to compile and link a C program with the gcc
compiler and GNU ld
linker. In this example we have used a couple command line options of the GNU linker
, but it supports much more command line options than -o
, -dynamic-linker
, etc... Moreover GNU ld
has its own language that allows to control the linking process. In the next two paragraphs we will look into it.
Useful command line options of the GNU linker
As I already wrote and as you can see in the manual of the GNU linker
, it has big set of the command line options. We've seen a couple of options in this post: -o <output>
- that tells ld
to produce an output file called output
as the result of linking, -l<name>
that adds the archive or object file specified by the name, -dynamic-linker
that specifies the name of the dynamic linker. Of course ld
supports much more command line options, let's look at some of them.
The first useful command line option is @file
. In this case the file
specifies filename where command line options will be read. For example we can create file with the name linker.ld
, put there our command line arguments from the previous example and execute it with:
$ ld @linker.ld
The next command line option is -b
or --format
. This command line option specifies format of the input object files ELF
, DJGPP/COFF
and etc. There is a command line option for the same purpose but for the output file: --oformat=output-format
.
The next command line option is --defsym
. Full format of this command line option is the --defsym=symbol=expression
. It allows to create global symbol in the output file containing the absolute address given by expression. We can find following case where this command line option can be useful: in the Linux kernel source code and more precisely in the Makefile that is related to the kernel decompression for the ARM architecture - arch/arm/boot/compressed/Makefile, we can find following definition:
LDFLAGS_vmlinux = --defsym _kernel_bss_size=$(KBSS_SZ)
As we already know, it defines the _kernel_bss_size
symbol with the size of the .bss
section in the output file. This symbol will be used in the first assembly file that will be executed during kernel decompressing:
ldr r5, =_kernel_bss_size
The next command line options is the -shared
that allows us to create shared library. The -M
or -map <filename>
command line option prints the linking map with the information about symbols. In our case:
$ ld -M @linker.ld
...
...
...
.text 0x00000000004003c0 0x112
*(.text.unlikely .text.*_unlikely .text.unlikely.*)
*(.text.exit .text.exit.*)
*(.text.startup .text.startup.*)
*(.text.hot .text.hot.*)
*(.text .stub .text.* .gnu.linkonce.t.*)
.text 0x00000000004003c0 0x2a /usr/lib/gcc/x86_64-linux-gnu/4.9/../../../x86_64-linux-gnu/crt1.o
...
...
...
.text 0x00000000004003ea 0x31 main.o
0x00000000004003ea main
.text 0x000000000040041b 0x3f lib.o
0x000000000040041b factorial
Of course the GNU linker
support standard command line options: --help
and --version
that print common help of the usage of the ld
and its version. That's all about command line options of the GNU linker
. Of course it is not the full set of command line options supported by the ld
util. You can find the complete documentation of the ld
util in the manual.
Control Language linker
As I wrote previously, ld
has support for its own language. It accepts Linker Command Language files written in a superset of AT&T's Link Editor Command Language syntax, to provide explicit and total control over the linking process. Let's look on its details.
With the linker language we can control:
- input files;
- output files;
- file formats
- addresses of sections;
- etc...
Commands written in the linker control language are usually placed in a file called linker script. We can pass it to ld
with the -T
command line option. The main command in a linker script is the SECTIONS
command. Each linker script must contain this command and it determines the map
of the output file. The special variable .
contains current position of the output. Let's write a simple assembly program and we will look at how we can use a linker script to control linking of this program. We will take a hello world program for this example:
.data
msg: .ascii "hello, world!\n"
.text
.global _start
_start:
mov $1,%rax
mov $1,%rdi
mov $msg,%rsi
mov $14,%rdx
syscall
mov $60,%rax
mov $0,%rdi
syscall
We can compile and link it with the following commands:
$ as -o hello.o hello.asm
$ ld -o hello hello.o
Our program consists from two sections: .text
contains code of the program and .data
contains initialized variables. Let's write simple linker script and try to link our hello.asm
assembly file with it. Our script is:
/*
* Linker script for the factorial
*/
OUTPUT(hello)
OUTPUT_FORMAT("elf64-x86-64")
INPUT(hello.o)
SECTIONS
{
. = 0x200000;
.text : {
*(.text)
}
. = 0x400000;
.data : {
*(.data)
}
}
On the first three lines you can see a comment written in C
style. After it the OUTPUT
and the OUTPUT_FORMAT
commands specify the name of our executable file and its format. The next command, INPUT
, specifies the input file to the ld
linker. Then, we can see the main SECTIONS
command, which, as I already wrote, must be present in every linker script. The SECTIONS
command represents the set and order of the sections which will be in the output file. At the beginning of the SECTIONS
command we can see following line . = 0x200000
. I already wrote above that .
command points to the current position of the output. This line says that the code should be loaded at address 0x200000
and the line . = 0x400000
says that data section should be loaded at address 0x400000
. The second line after the . = 0x200000
defines .text
as an output section. We can see *(.text)
expression inside it. The *
symbol is wildcard that matches any file name. In other words, the *(.text)
expression says all .text
input sections in all input files. We can rewrite it as hello.o(.text)
for our example. After the following location counter . = 0x400000
, we can see definition of the data section.
We can compile and link it with the following command:
$ as -o hello.o hello.S && ld -T linker.script && ./hello
hello, world!
If we look inside it with the objdump
util, we can see that .text
section starts from the address 0x200000
and the .data
sections starts from the address 0x400000
:
$ objdump -D hello
Disassembly of section .text:
0000000000200000 <_start>:
200000: 48 c7 c0 01 00 00 00 mov $0x1,%rax
...
Disassembly of section .data:
0000000000400000 <msg>:
400000: 68 65 6c 6c 6f pushq $0x6f6c6c65
...
Apart from the commands we have already seen, there are a few others. The first is the ASSERT(exp, message)
that ensures that given expression is not zero. If it is zero, then exit the linker with an error code and print the given error message. If you've read about Linux kernel booting process in the linux-insides book, you may know that the setup header of the Linux kernel has offset 0x1f1
. In the linker script of the Linux kernel we can find a check for this:
. = ASSERT(hdr == 0x1f1, "The setup header has the wrong offset!");
The INCLUDE filename
command allows to include external linker script symbols in the current one. In a linker script we can assign a value to a symbol. ld
supports a couple of assignment operators:
- symbol = expression ;
- symbol += expression ;
- symbol -= expression ;
- symbol *= expression ;
- symbol /= expression ;
- symbol <<= expression ;
- symbol >>= expression ;
- symbol &= expression ;
- symbol |= expression ;
As you can note all operators are C assignment operators. For example we can use it in our linker script as:
START_ADDRESS = 0x200000;
DATA_OFFSET = 0x200000;
SECTIONS
{
. = START_ADDRESS;
.text : {
*(.text)
}
. = START_ADDRESS + DATA_OFFSET;
.data : {
*(.data)
}
}
As you already may noted the syntax for expressions in the linker script language is identical to that of C expressions. Besides this the control language of the linking supports following builtin functions:
ABSOLUTE
- returns absolute value of the given expression;ADDR
- takes the section and returns its address;ALIGN
- returns the value of the location counter (.
operator) that aligned by the boundary of the next expression after the given expression;DEFINED
- returns1
if the given symbol placed in the global symbol table and0
in other way;MAX
andMIN
- return maximum and minimum of the two given expressions;NEXT
- returns the next unallocated address that is a multiple of the give expression;SIZEOF
- returns the size in bytes of the given named section.
That's all.
Conclusion
This is the end of the post about linkers. We learned many things about linkers in this post, such as what is a linker and why it is needed, how to use it, etc..
If you have any questions or suggestions, write me an email or ping me on twitter.
Please note that English is not my first language, and I am really sorry for any inconvenience. If you find any mistakes please let me know via email or send a PR.