Updated in 2023-09.
This article introduces RISC-V linker relaxation and describes the downside.
Linker optimization/relaxation
Because the linker has a global view and layout information, it can perform some peephole optimizations which are difficult/impossible to do on the compiler side. Generic link-time code sequence transformation is risky, because semantic information is lost and what the linker sees are byte streams. However, if every instruction in the candidate code sequence is associated with one ore more relocations, the ABI and the implementation can assign (additional) semantics to the relocation types and make such transformation safe. This technique is usually called linker optimization or linker relaxation. It seems that the term "linker optimization" is often used when the number of bytes does not change while "linker relaxation" is used when the number of bytes decreases.
In GNU ld, gold and ld.lld, their i386, x86-64 and ppc64 ports have implemented various linker optimizations. Here is an example of x86-64 GOTPCRELX optimization (available in GNU ld since 2015).
1 | # Load the address via GOT indirection. |
See All about Global Offset Table#GOT optimization for detail. More ports have implemented TLS code sequence optimization. See All about thread-local storage for details.
Because the term "link-time optimization" is similar to linker relaxation but is usually used in a narrow sense which is very different (communicate symbol resolution to the compiler, combine the information of multiple translation units, and perform IR level optimization), I (and some other folks) have used "linker relaxation" to refer to the transformations without changing the code sequence length.
Now let's move our focus to linker relaxation.
RISC architectures usually need more than one instructions to materialize a symbol address. There are usually two instructions, the first materializing the high bits and the second materializing the low bits. In many cases, one single instruction can be used if the symbol is sufficiently near to the program counter. This requires the linker to be able to delete an instruction from the section.
Another case is the design of branch instructions. On some RISC architectures (e.g. AVR), a long instruction can be replaced with a short instruction.
1 | jmp dest # 4 bytes, R_AVR_CALL |
A branch instruction typically has a much shorter range than the 32-bit address space. In rare cases the jump target may be out of range. Most RISC architectures use range extension thunks: let the linker redirect the branch instruction to a thunk which materializes the target address and jumps there.
RISC-V linker relaxation
Instead of giving relocation types such as
R_RISCV_HI20, R_RISCV_LO12, R_RISCV_PCREL_LO12_I, R_RISCV_PCREL_LO12_S, R_RISCV_CALL
additional semantics, the designer introduced a new relocation type
R_RISCV_RELAX
. You will see that at the same location there
are two relocations. The ELF specification says:
If multiple consecutive relocation records are applied to the same relocation location (
r_offset
), they are composed instead of being applied independently, as described above. By consecutive, we mean that the relocation records are contiguous within a single relocation section. By composed, we mean that the standard application described above is modified as follows:
- In all but the last relocation operation of a composed sequence, the result of the relocation expression is retained, rather than having part extracted and placed in the relocated field. The result is retained at full pointer precision of the applicable ABI processor supplement.
- In all but the first relocation operation of a composed sequence, the addend used is the retained result of the previous relocation operation, rather than that implied by the relocation type.
Note that a consequence of the above rules is that the location specified by a relocation type is relevant for the first element of a composed sequence (and then only for relocation records that do not contain an explicit addend field) and for the last element, where the location determines where the relocated value will be placed. For all other relocation operands in a composed sequence, the location specified is ignored.
An ABI processor supplement may specify individual relocation types that always stop a composition sequence, or always start a new one.
In the composed sequence, R_RISCV_RELAX
asks the linker
to possibly delete bytes.
For branches which can potentially be long ranged, RISC-V uses 2 instructions. This nicely avoids range extension thunks. If the branch turns out to be short ranges, GNU ld can delete one instruction and even compress the remaining one.
1 | call fun # auipc ra, ..; jalr ra, ..(ra) |
Example
1 | void ext(void); |
1 | 0000000000000000 <.text>: |
Two instructions are used to materialize a call. If the call turns out to be short ranged, the first instruction can be dropped.
1 | 000000000000244 <foo>: |
Global pointer relaxation
In -no-pie
mode, GNU ld performs global pointer
relaxation.
When producing an executable, linkers define
__global_pointer$
at the start of .sdata
plus
0x800. The runtime initializes gp (x3) to the value of
__global_pointer$
. When materializing an address +-2KiB of
__global_pointer$
, we can replace lui+addi
with one addi
.
1 | lui a0, %hi(sym) # R_RISCV_HI20, R_RISCV_RELAX |
From binutils 2.41 onwards, GNU ld supports --no-relax-gp
to disable global pointer relaxation.
As of April 2023, the psABI has mentioned that gp (x3) can be used for a platform-specific purpose. Such uses are incompatible with global pointer relaxation.
ld.lld got global
pointer relaxation in April 2023. We made a deliberate choice to make
--no-relax-gp
the default.
Haiku, Android, and Fuchsia have mentioned that they'd like to use gp for non-relaxation purposes.
Assembler implications
Alignment directives
For an alignment directive, the assembler emits padding bytes (NOP
instructions) and creates an R_RISCV_ALIGN
relocation
pointing to the beginning of the padding bytes. The instruction that
needs to be aligned is located at the offset of
R_RISCV_ALIGN
plus its addend. The linker is responsible
for deleting some bytes to ensure the location aligned after relaxing
preceding instructions. 1
2
3call fun # 8 bytes
.balign 16 # NOPs with an R_RISCV_ALIGN relocation
mv a1, a0
The number of padding bytes is dependent on whether RVC (compressed
instructions) is effective. A .balign $align
directive
results in $align-2
bytes when RVC is enabled and otherwise
$align-4
bytes. The number is carefully chosen to the
maximum bytes that may be kept after linking. Conceptually the linker
only needs to delete bytes, not add new bytes.
However, the design choise is not friendly to the linker when linker
relaxation is disabled (ld --no-relax
).
$align-2
or $align-4
bytes do not necessarily
make the following instruction aligned. Therefore, a linker still needs
to process R_RISCV_ALIGN
relocations and delete some bytes,
even if R_RISCV_RELAX
relocations are ignored.
ld.lld prior to 15.0 does not implement linker relaxation, and
conservatively bails out with an error like
error: relocation R_RISCV_ALIGN requires unimplemented linker relaxation
.
Linker friendly
R_RISCV_ALIGN
In ELF, many relocation types capable of linker optimization are pure
optional features:
R_AVR_CALL, R_PPC64_PCREL_OPT, R_X86_64_GOTPCRELX, R_X86_64_REX_GOTPCRELX
,
TLS relocation types supporting GD->LE/GD->IE/LD->LE/etc
optimizations.
Currently R_RISCV_ALIGN
just encodes the expected
alignment. Can it encode the actual bytes of NOPs beside the expected
alignment? Then linkers not supporting linker relaxation can happily
accept -mrelax
object files.
There are several schemes
- Encode the actual bytes of NOPs in the symbol part of the
r_info
field. The associated symbol can be absolute (st_shndx==SHN_ABS
). - Encode the actual bytes of NOPs in the high bits of the
r_addend
field. - Introduce a new relocation type used together with
R_RISCV_ALIGN
.
The third approach is probably least favored. The first one should be compatible with existing implementations.
I filed https://github.com/riscv-non-isa/riscv-elf-psabi-doc/issues/183 for this issue, but closed it after I implemented linker relaxation for ld.lld.
.align [abs-expr[, abs-expr[, abs-expr]]]
In GNU assembler, the third argument of .align
specifies
the maximum number of bytes that should be skipped by this alignment
directive. This is unfortunately not representable with the
R_RISCV_ALIGN
scheme. The second argument is not
either.
R_RISCV_RELAX
relaxation does not use the local RVC state
R_RISCV_RELAX
relaxation uses
e_eflags & EF_RISCV_RVC
in the ELF header to decide
whether compressed instructions can be used. This does not take into
account of .option norvc
regions. In the following example
(adapted from https://github.com/riscv-collab/riscv-gnu-toolchain/issues/445),
tail foo
will be relaxed to a compressed instruction
c.j foo
, even if the region is marked with
.option norvc
.
1 | .option rvc |
Worse, the 4 padding bytes cannot satisfy the requirement of
.bliang 8
. GNU ld will report an error
6 bytes required for alignment to 8-byte boundary, but only 4 present
.
1
2
3
4
50: add a0, a0, a1
2: add a1, a1, a2
4: add a0, a1, a2
8: c.j foo
10: // needs 6 bytes to satisfy .balign 8, but there are only 4 padding bytes
Fixup against a local symbol
For a reference to a local symbol in the same section (e.g., a branch target), traditionally no relocation is needed as the fixup is resolved at assembly time. With linker relaxation, we need to preserve the relocation as the offset can be changed at link time.
1 | .globl fun |
Label differences related to text section symbols
For a label difference A-B
in assembly, if A and B are
separated by a linker-relaxable instruction, we should emit a pair of
ADD/SUB relocations (e.g.
R_RISCV_ADD32
/R_RISCV_SUB32
,
R_RISCV_ADD64
/R_RISCV_SUB64
).
(R_RISCV_32_PCREL
can be used for certain 32-bit
relocations, but GNU assembler only emits R_RISCV_32_PCREL
for .eh_frame
.)
The assembler behavior is not well documented (https://github.com/riscv-non-isa/riscv-asm-manual/issues/80). Anyhow, let's see an example.
1 | .text |
w1 - w
can be folded as a constant.
extern - w
requires ADD/SUB relocations while
w1 - w
can be folded to a constant (LLVM integrated
assembler behavior). However, GNU assembler emits ADD/SUB relocations
for w1 - w
as gas/config/tc-riscv.c
conservatively defines TC_FORCE_RELOCATION_SUB_SAME(seg)
to
disable folding for a code section.
Prior to LLVM 17.0, the decision to emit ADD/SUB is made upfront at
parsing time with inadequate heuristics (requiresFixup
). As
a result, older LLVM integrated assembler versions incorrectly suppress
R_RISCV_ADD32/R_RISCV_SUB32
for the following code:
1 | # Both end and begin are not defined yet. We decide ADD/SUB relocations upfront and don't know they will be needed. |
Android riscv64
mterp: Fix "oat" code size calculation. is an instance to work
around the issue by making one symbol defined before the
.4byte
directive.
This has been fixed by my [RISCV] Make linker-relaxable
instructions terminate MCDataFragment and [RISCV] Allow delayed decision
for ADD/SUB relocations. For a label difference A-B
in
assembly, if A
and B
are in the same section
and not separated by alignment directives, assembler-relaxable
instructions, or linker-relaxable instructions, A-B
can be
folded as a constant.
Let's see an example where an assembler-relaxable instruction makes
A-B
not foldable. 1
2
3
4.L1:
.dword .L2-.L1 # R_RISCV_ADD32/R_RISCV_SUB32
beq s1, s1, .L1
.L2:
Therefore, for the following 32-bit label difference in DWARF, there
are generally a pair of
R_RISCV_ADD32
/R_RISCV_SUB32
in the
-mrelax
mode. 1
2
3.section .debug_info,"",@progbits
...
.word .Lfunc_end0-.Lfunc_begin0
GNU assembler generally emits
R_RISCV_ADD32
/R_RISCV_SUB32
pairs in more
cases. It even emits a pair of
R_RISCV_ADD32
/R_RISCV_SUB32
for
.word .Lfunc_end0-.Lfunc_begin0
using
-mno-relax
.
TODO gas notes 1
2
3
4
5
6read.c:emit_expr_with_reloc
write.c:2322 resolve_symbol_value
write.c:2339 adjust_reloc_syms
write.c:2348 bfd_map_over_sections (stdoutput, fix_segment, (char *) 0);
config/tc-riscv.c:4156 If we are deleting this reloc entry, we must fill in the
write.c:2505 bfd_map_over_sections (stdoutput, write_relocs, (char *) 0);
DWARF
DWARF is a widely used debugging information format.
Code addresses
In DWARF, a debugging information entry (DIE) describing an entity
that has a range of machine code adddresses may have
DW_AT_low_pc/DW_AT_high_pc/DW_AT_ranges
attributes to
describe the addresses.
On other architectures, the typical implementation uses assembly directives this way and needs one relocation referencing the start of the function.
1 | .quad .Lfunc_begin0 # DW_AT_low_pc |
Due to linker relaxation, the length is not a constant, so the label
difference will actually produce two relocations, a pair of
R_RISCV_ADD32
and R_RISCV_SUB32
. So RISC-V
gives us two relocations which take some space in the object file.
1 | 0x0000002a: DW_TAG_subprogram [2] |
An alternative design is to let the value of the
DW_AT_high_pc
be of class address, specifically,
DW_FORM_addr
. It takes 8 bytes on ELFCLASS64 but can remove
one relocation.
1 | .quad .Lfunc_begin0 # DW_AT_low_pc |
Line number information
Line number information gives association from source file locations to machine instruction addresses. It is conceptually a matrix with one row for each instruction. The matrix has columns for:
- the source file name
- the source line number
- the source column number
- and so on
DWARF uses a byte-coded language to encode the matrix. The specification says:
Most of the instructions in a line number program are special opcodes.`
For the above example (consecutive ext()
calls), on most
architectures, a call takes one special opcode of one byte.
llvm-dwarfdump --debug-line
can dump the matrix:
1 | # x86-64 |
However, one RISC-V, it is bloated with two relocations associated
with one row!
DW_LNS_advance_line+DW_LNS_fixed_advance_pc+DW_LNS_copy
take 6 bytes. Two Elf64_Rela
relocations take 48 bytes.
1 | # RISC-V |
54x waste! So, what is wrong?
Well, due to linker relaxation, the address increment between two calls is not a compile-time constant. A special opecode is encoded with the following formula:
1 | # DWARF v4 introduced maximum_operations_per_instruction for VLIW architectures. |
The variables except operation_increment are compile-time constants,
but we don't have a relocation type representing multiplication. If such
a relocation type exists and the compiler can ensure that the maximum
address_advance
does not make the ubyte opcode
overflow (this is not simple), we can make the linked output much
smaller. That said, relocations are still the primary overhead of object
files.
Among major binary formats (Mach-O (8 bytes), PE-COFF (10 bytes)),
Elf64_Rela
(24 bytes) on ELF has a very noticeable
overhead. I don't know whether RISC-V people may want to switch to
ELFCLASS32 for 64-bit RISCV in the future. Currently the Linux kernel
associates ELFCLASS32 to ILP32 ABI variants, but nothing prevents
ELFCLASS32 from being used for small code model object files.
Generated line number information for assembly files
The GNU assembler and LLVM integrated assembler both create a
.debug_line
section for assembly files that have
.file
and .loc
directives. When
-g
is specified for assembly files without these
directives, debug information is synthesized, including line number
information.
However, the LLVM integrated assembler has a bug that creates issues
for -mrelax
with .debug_line
for both
explicitly specified and synthesized .loc
directives. This
is due to MCDwarfLineTable::emitOne
calling
MCObjectStreamer::emitDwarfAdvanceLineAddr
to emit line
table opcodes for a section.
For an assembly file, createRISCVELFStreamer
is used to
create a MCObjectStreamer
instance with a
MCAssembler
object. For a C/C++ file,
createRISCVObjectTargetStreamer
is used to create a
MCObjectStreamer
instance without a
MCAssembler
object.
When a MCAssembler
object is used, label differences in
the line number information are incorrectly foldable. The LLVM
integrated assembler will emit special opcodes that hard code
instruction offsets, which can become incorrect when the instruction
offset changes due to linker relaxation.
1 |
|
Using -S
and -c
on one source file is not
commonly used to build projects. However,
clang --target=riscv64 -g -c x.s
is somewhat common. My
suggestion is to remove -g
for now. Synthesized debug
information is not very useful anyway.
I have fixed this for Clang 17.0.
Call frame information
A frame description entry (FDE) in call frame information
(.debug_frame/.eh_frame
) encodes the length of the entity.
A pair of relocations are needed.
Similar to line number information, the call frame instructions are
encoded in a byte-coded language. The DW_CFA_advance_loc
instruction has a 6-bit operand (encoded wit hthe opcode) representing
that the location delta is operand * code_alignment_factor
.
The instruction can be relocated by a pair of R_RISCV_SET6
and R_RISCV_SUB6
.
Split DWARF
-gsplit-dwarf
produces a .dwo
file which
will not be processed by the linker. If .dwo
files contain
relocations, they will not be resolved. Therefore the practice is that
.dwo
files do not contain relocations.
Currently Clang and GCC use DW_AT_high_pc
or
DW_AT_ranges
to describe address ranges where the range
sizes/endpoints are described by relocations. Such implementations are
incompatible with linker relaxation. To work with linker relaxation,
DW_AT_high_pc
and DW_AT_ranges
need to use
indexes into .debug_addr
(e.g.
DW_RLE_startx_endx
).
https://github.com/llvm/llvm-project/issues/56642
Range lists and location lists
For a long time, due to lack of support for .uleb128
label differences, the compact DW_LLE_offset_pair
description could not be used. GCC uses the
DW_LLE_startx_endx
description (PR99090).
The operands are indices into the .debug_addr
section. The
two values in .debug_addr
are relocated by
R_RISCV_64
relocations.
In 2023, two relocation types, R_RISCV_SET_ULEB128
and
R_RISCV_SUB_ULEB128
, are defined. GNU assembler emits
a pair of R_RISCV_SET_ULEB128
and
R_RISCV_SUB_ULEB128
for a .uleb128
label
difference involving a relaxable text section. There was a bug that a
R_RISCV_SUB_ULEB128
relocation may get an
incorrect non-zero addend. The fix added a
--check-uleb128
option to GNU ld to check such bugs.
I implemented assembler
support for
R_RISCV_SET_ULEB128
/R_RISCV_SUB_ULEB128
in
LLVM integrated assembler and lld support for
sections without the SHF_ALLOC
flag.
Language-specific data area
In the Itanium C++ ABI, the information needed to process exceptions
is called language-specific data area (LSDA). On ELF targets, this is
usually stored in the .gcc_except_table
section. See C++ exception
handling ABI for details.
1 | int comdat() { |
Call site records describe the landing pad offset/length. Without
linker relaxation, the values are assembly time constant and actually
.gcc_except_table
has no relocations referencing text
sections.
1 | .section .gcc_except_table,"a",@progbits |
With linker relaxation, in the generic case we need a pair of relocations (R_RISCV_SET_ULEB128 and R_RISCV_SUB_ULEB128) to represent label differences.
Older GCC and Clang used DW_EH_PE_udata4
(.word
) to encode call site records. 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26 .section .gcc_except_table,"a",@progbits
.p2align 2
GCC_except_table1:
.Lexception0:
.byte 255 # @LPStart Encoding = omit
.byte 155 # @TType Encoding = indirect pcrel sdata4
.uleb128 .Lttbase0-.Lttbaseref0
.Lttbaseref0:
.byte 3 # Call site Encoding = udata4
.uleb128 .Lcst_end0-.Lcst_begin0
.Lcst_begin0:
.word .Lfunc_begin1-.Lfunc_begin1 # >> Call Site 1 <<
.word .Ltmp2-.Lfunc_begin1 # Call between .Lfunc_begin1 and .Ltmp2
.word 0 # has no landing pad
.byte 0 # On action: cleanup
.word .Ltmp2-.Lfunc_begin1 # >> Call Site 2 <<
.word .Ltmp3-.Ltmp2 # Call between .Ltmp2 and .Ltmp3
.word .Ltmp4-.Lfunc_begin1 # jumps to .Ltmp4
.byte 1 # On action: 1
.word .Ltmp3-.Lfunc_begin1 # >> Call Site 3 <<
.word .Lfunc_end1-.Ltmp3 # Call between .Ltmp3 and .Lfunc_end1
.word 0 # has no landing pad
.byte 0 # On action: cleanup
.Lcst_end0:
.byte 1 # >> Action Record 1 <<
...
The other problem is that relocations from
.gcc_except_table
to the text section can cause some linker
garbage collection difficulty. It requires fragmented
.gcc_except_table
sections. See C++ exception
handling ABI for details.
The call site table length field in the header is encoded in uleb128. For more fun, the value and other uleb128 offsets/lengths can cause oscillation and require iterations in the assembler. See GNU as (PR4029).
ld --emit-relocs
A fair amount of work is needed to keep --emit-relocs
output updated in the presence of linker relaxation. Relocations
associated with shrunk instructions may look strange and some
relocations may feel out of the place.
For GNU ld's AArch64 and x86-64 ports, the --emit-relocs
code retains the original relocation type even if a linker optimization
is applied. This is partly to communicate more information to the user
and partly because the transformation may not be described with any
existing relocation type. The ppc64 port converts certain relocation
types.
1 | cat > aarch64.s <<'eof' |
1 | cat > riscv64.s <<'eof' |
However, the RISC-V port changes the relocation type, including
relocation types for relaxable instructions (e.g.
R_RISCV_CALL_PLT
), and markers (R_RISCV_ALIGN
and R_RISCV_RELAX
). R_RISCV_CALL_PLT
is
changed to the R_RISCV_JAL
, which can describe the relaxed
instruction. R_RISCV_ALIGN
and R_RISCV_RELAX
are somehow changed to R_RISCV_NONE
, losing the original
information.
I believe the behavior was not a deliberate decision as there is no
--emit-relocs
test at all in
ld/testsuite/ld-riscv-elf/
. So far, the unintentional
change seems fine but certain relaxations (such as TLSDESC) may not have
relocation types associated with the relaxed instructions.
1 |
|
I will be quite concerned if RISC-V --emit-relocs
gets
more uses. I think the expected behavior should be sorted out first.
https://sourceware.org/bugzilla/show_bug.cgi?id=30844
Linker implementation
GNU ld does the following steps: 1
2
3
4
5
6
7
8
9
10
11
12
13lang_check_relocs ();
ldemul_after_allocation ();
ldelf_map_segments
lang_relax_sections
lang_size_sections (&relax_again, false);
bfd_relax_section
_bfd_riscv_relax_delete
_bfd_riscv_relax_align
ldwrite ();
bfd_final_link
riscv_elf_relocate_section
See RISC-V linker relaxation in lld for the ld.lld implementation.
Does link-time optimization or post link-time optimization help?
Nearly no. This is a phase ordering issue. IR level (and future machine IR level) link-time optimization is performed very early, just after symbol resolution. It has to be done early because the later steps need access to its emitted input sections. The LTO library has no layout information to guide its choice of branch instructions. As an example, for a reference from .data to .text, the LTO library does not know the distance.
Epilog
I sometimes call linker relaxation poor man's link-time optimization with nice ergonomics. I agree it is useful, probably more so for embedded systems, but there appears to be great relocatable object file size cost. Certain toolchain components have high complexity but they are mostly settled down now.
LoongArch folks appear zealous and want to add linker relaxation (https://github.com/loongson/LoongArch-Documentation/pull/77). I have expressed my concern on the GitHub PR and https://sourceware.org/pipermail/binutils/2022-December/125322.html regarding adding support without sorting out all the issues.