For EIP-4844, Ethereum shoppers want the flexibility to compute and confirm KZG commitments. Reasonably than every shopper rolling their very own crypto, researchers and builders got here collectively to write down c-kzg-4844, a comparatively small C library with bindings for higher-level languages. The thought was to create a strong and environment friendly cryptographic library that every one shoppers may use. The Protocol Safety Analysis crew on the Ethereum Basis had the chance to evaluate and enhance this library. This weblog submit will talk about some issues we do to make C initiatives safer.
Fuzz
Fuzzing is a dynamic code testing method that entails offering random inputs to find bugs in a program. LibFuzzer and afl++ are two common fuzzing frameworks for C initiatives. They’re each in-process, coverage-guided, evolutionary fuzzing engines. For c-kzg-4844, we used LibFuzzer since we had been already well-integrated with LLVM mission’s different choices.
This is the fuzzer for verify_kzg_proof, one among c-kzg-4844’s capabilities:
#embody "../base_fuzz.h" static const size_t COMMITMENT_OFFSET = 0; static const size_t Z_OFFSET = COMMITMENT_OFFSET + BYTES_PER_COMMITMENT; static const size_t Y_OFFSET = Z_OFFSET + BYTES_PER_FIELD_ELEMENT; static const size_t PROOF_OFFSET = Y_OFFSET + BYTES_PER_FIELD_ELEMENT; static const size_t INPUT_SIZE = PROOF_OFFSET + BYTES_PER_PROOF; int LLVMFuzzerTestOneInput(const uint8_t* information, size_t dimension) { initialize(); if (dimension == INPUT_SIZE) { bool okay; verify_kzg_proof( &okay, (const Bytes48 *)(information + COMMITMENT_OFFSET), (const Bytes32 *)(information + Z_OFFSET), (const Bytes32 *)(information + Y_OFFSET), (const Bytes48 *)(information + PROOF_OFFSET), &s ); } return 0; }
When executed, that is what the output seems like. If there have been an issue, it might write the enter to disk and cease executing. Ideally, it is best to be capable to reproduce the issue.
There’s additionally differential fuzzing, which is a way which fuzzes two or extra implementations of the identical interface and compares the outputs. For a given enter, if the output is totally different, and also you anticipated them to be the identical, one thing is unsuitable. This method may be very common in Ethereum as a result of we wish to have a number of implementations of the identical factor. This diversification gives an additional degree of security, realizing that if one implementation had been flawed the others could not have the identical subject.
For KZG libraries, we developed kzg-fuzz which differentially fuzzes c-kzg-4844 (via its Golang bindings) and go-kzg-4844. To date, there have not been any variations.
Protection
Subsequent, we used llvm-profdata and llvm-cov to generate a protection report from operating the assessments. It is a nice solution to confirm code is executed (“coated”) and examined. See the coverage goal in c-kzg-4844’s Makefile for an instance of learn how to generate this report.
When this goal is run (i.e., make protection) it produces a desk that serves as a high-level overview of how a lot of every operate is executed. The exported capabilities are on the prime and the non-exported (static) capabilities are on the underside.
There may be a number of inexperienced within the desk above, however there may be some yellow and crimson too. To find out what’s and is not being executed, confer with the HTML file (protection.html) that was generated. This webpage exhibits the whole supply file and highlights non-executed code in crimson. On this mission’s case, a lot of the non-executed code offers with hard-to-test error instances corresponding to reminiscence allocation failures. For instance, here is some non-executed code:
At first of this operate, it checks that the trusted setup is sufficiently big to carry out a pairing examine. There is not a check case which gives an invalid trusted setup, so this does not get executed. Additionally, as a result of we solely check with the proper trusted setup, the results of is_monomial_form is at all times the identical and would not return the error worth.
Profile
We do not advocate this for all initiatives, however since c-kzg-4844 is a efficiency vital library we expect it is vital to profile its exported capabilities and measure how lengthy they take to execute. This can assist determine inefficiencies which may probably DoS nodes. For this, we used gperftools (Google Efficiency Instruments) as a substitute of llvm-xray as a result of we discovered it to be extra feature-rich and simpler to make use of.
The next is a straightforward instance which profiles my_function. Profiling works by checking which instruction is being executed once in a while. If a operate is quick sufficient, it is probably not seen by the profiler. To cut back the possibility of this, chances are you’ll have to name your operate a number of instances. On this instance, we name my_function 1000 instances.
#embody
int task_a(int n) { if (n return task_a(n - 1) * n; } int task_b(int n) { if (n return task_b(n - 2) + n; } void my_function(void) { for (int i = 0; i if (i % 2 == 0) { task_a(i); } else { task_b(i); } } } int foremost(void) { ProfilerStart("instance.prof"); for (int i = 0; i my_function(); } ProfilerStop(); return 0; }
Use ProfilerStart(“
Right here is the graph generated from the command above:
This is a much bigger instance from one among c-kzg-4844’s capabilities. The next picture is the profiling graph for compute_blob_kzg_proof. As you’ll be able to see, 80% of this operate’s time is spent performing Montgomery multiplications. That is anticipated.
Reverse
Subsequent, view your binary in a software program reverse engineering (SRE) device corresponding to Ghidra or IDA. These instruments can assist you perceive how high-level constructs are translated into low-level machine code. We predict it helps to evaluate your code this manner; like how studying a paper in a distinct font will drive your mind to interpret sentences in another way. It is also helpful to see what kind of optimizations your compiler makes. It is uncommon, however generally the compiler will optimize out one thing which it deemed pointless. Hold an eye fixed out for this, one thing like this truly occurred in c-kzg-4844, some of the tests were being optimized out.
Whenever you view a decompiled operate, it won’t have variable names, complicated varieties, or feedback. When compiled, this data is not included within the binary. It is going to be as much as you to reverse engineer this. You will typically see capabilities are inlined right into a single operate, a number of variables declared in code are optimized right into a single buffer, and the order of checks are totally different. These are simply compiler optimizations and are usually fantastic. It might assist to construct your binary with DWARF debugging data; most SREs can analyze this part to supply higher outcomes.
For instance, that is what blob_to_kzg_commitment initially seems like in Ghidra:
With somewhat work, you’ll be able to rename variables and add feedback to make it simpler to learn. This is what it may appear to be after a couple of minutes:
Static Evaluation
Clang comes built-in with the Clang Static Analyzer, which is a superb static evaluation device that may determine many issues that the compiler will miss. Because the identify “static” suggests, it examines code with out executing it. That is slower than the compiler, however loads sooner than “dynamic” evaluation instruments which execute code.
This is a easy instance which forgets to free arr (and has one other downside however we are going to discuss extra about that later). The compiler won’t determine this, even with all warnings enabled as a result of technically that is utterly legitimate code.
#embody
int foremost(void) { int* arr = malloc(5 * sizeof(int)); arr[5] = 42; return 0; }
The unix.Malloc checker will determine that arr wasn’t freed. The road within the warning message is a bit deceptive, nevertheless it is smart if you concentrate on it; the analyzer reached the return assertion and seen that the reminiscence hadn’t been freed.
Not the entire findings are that easy although. This is a discovering that Clang Static Analyzer present in c-kzg-4844 when initially launched to the mission:
Given an sudden enter, it was attainable to shift this worth by 32 bits which is undefined conduct. The answer was to limit the enter with CHECK(log2_pow2(n) != 0) in order that this was not possible. Good job, Clang Static Analyzer!
Sanitize
Santizers are dynamic evaluation instruments which instrument (add directions) to applications which might level out points throughout execution. These are significantly helpful at discovering frequent errors related to reminiscence dealing with. Clang comes built-in with a number of sanitizers; listed here are the 4 we discover most helpful and simple to make use of.
Deal with
AddressSanitizer (ASan) is a quick reminiscence error detector which might determine out-of-bounds accesses, use-after-free, use-after-return, use-after-scope, double-free, and reminiscence leaks.
Right here is similar instance from earlier. It forgets to free arr and it’ll set the sixth aspect in a 5 aspect array. It is a easy instance of a heap-buffer-overflow:
#embody
int foremost(void) { int* arr = malloc(5 * sizeof(int)); arr[5] = 42; return 0; }
When compiled with -fsanitize=handle and executed, it’ll output the next error message. This factors you in an excellent course (a 4-byte write in foremost). This binary may very well be considered in a disassembler to determine precisely which instruction (at foremost+0x84) is inflicting the issue.
Equally, here is an instance the place it finds a heap-use-after-free:
#embody
int foremost(void) { int *arr = malloc(5 * sizeof(int)); free(arr); return arr[2]; }
It tells you that there is a 4-byte learn of freed reminiscence at foremost+0x8c.
Reminiscence
MemorySanitizer (MSan) is a detector of uninitialized reads. This is a easy instance which reads (and returns) an uninitialized worth:
int foremost(void) { int information[2]; return information[0]; }
When compiled with -fsanitize=reminiscence and executed, it’ll output the next error message:
Undefined Habits
UndefinedBehaviorSanitizer (UBSan) detects undefined conduct, which refers back to the scenario the place a program’s conduct is unpredictable and never specified by the langauge commonplace. Some frequent examples of this are accessing out-of-bounds reminiscence, dereferencing an invalid pointer, studying uninitialized variables, and overflow of a signed integer. For instance, right here we increment INT_MAX which is undefined conduct.
#embody
int foremost(void) { int a = INT_MAX; return a + 1; }
When compiled with -fsanitize=undefined and executed, it’ll output the next error message which tells us precisely the place the issue is and what the circumstances are:
Thread
ThreadSanitizer (TSan) detects information races, which might happen in multi-threaded applications when two or extra threads entry a shared reminiscence location on the identical time. This case introduces unpredictability and might result in undefined conduct. This is an instance during which two threads increment a worldwide counter variable. There are not any locks or semaphores, so it is fully attainable that these two threads will increment the variable on the identical time.
#embody
int counter = 0; void *increment(void *arg) { (void)arg; for (int i = 0; i counter++; return NULL; } int foremost(void) { pthread_t thread1, thread2; pthread_create(&thread1, NULL, increment, NULL); pthread_create(&thread2, NULL, increment, NULL); pthread_join(thread1, NULL); pthread_join(thread2, NULL); return 0; }
When compiled with -fsanitize=thread and executed, it’ll output the next error message:
This error message tells us that there is a information race. In two threads, the increment operate is writing to the identical 4 bytes on the identical time. It even tells us that the reminiscence is counter.
Valgrind
Valgrind is a strong instrumentation framework for constructing dynamic evaluation instruments, however its greatest identified for figuring out reminiscence errors and leaks with its built-in Memcheck device.
The next picture exhibits the output from operating c-kzg-4844’s assessments with Valgrind. Within the crimson field is a legitimate discovering for a “conditional leap or transfer [that] is determined by uninitialized worth(s).”
This identified an edge case in expand_root_of_unity. If the unsuitable root of unity or width had been offered, it was attainable that the loop will break earlier than out[width] was initialized. On this scenario, the ultimate examine would rely upon an uninitialized worth.
static C_KZG_RET expand_root_of_unity( fr_t *out, const fr_t *root, uint64_t width ) { out[0] = FR_ONE; out[1] = *root; for (uint64_t i = 2; !fr_is_one(&out[i - 1]); i++) { CHECK(i blst_fr_mul(&out[i], &out[i - 1], root); } CHECK(fr_is_one(&out[width])); return C_KZG_OK; }
Safety Overview
After growth stabilizes, it has been completely examined, and your crew has manually reviewed the codebase themselves a number of instances, it is time to get a safety evaluate by a good safety group. This would possibly not be a stamp of approval, nevertheless it exhibits that your mission is not less than considerably safe. Consider there isn’t a such factor as good safety. There’ll at all times be the danger of vulnerabilities.
For c-kzg-4844 and go-kzg-4844, the Ethereum Basis contracted Sigma Prime to conduct a safety evaluate. They produced this report with 8 findings. It accommodates one vital vulnerability in go-kzg-4844 that was a very good discover. The BLS12-381 library that go-kzg-4844 makes use of, gnark-crypto, had a bug which allowed invalid G1 and G2 factors to be sucessfully decoded. Had this not been fastened, this might have resulted in a consensus bug (a disagreement between implementations) in Ethereum.
Bug Bounty
If a vulnerability in your mission may very well be exploited for good points, like it’s for Ethereum, take into account organising a bug bounty program. This permits safety researchers, or anybody actually, to submit vulnerability reviews in alternate for cash. Typically, that is particularly for findings which might show that an exploit is feasible. If the bug bounty payouts are affordable, bug finders will notify you of the bug reasonably than exploiting it or promoting it to a different celebration. We advocate beginning your bug bounty program after the findings from the primary safety evaluate are resolved; ideally, the safety evaluate would price lower than the bug bounty payouts.
Conclusion
The event of strong C initiatives, particularly within the vital area of blockchain and cryptocurrencies, requires a multi-faceted strategy. Given the inherent vulnerabilities related to the C language, a mixture of greatest practices and instruments is crucial for producing resilient software program. We hope our experiences and findings from our work with c-kzg-4844 present helpful insights and greatest practices for others embarking on comparable initiatives.