Remember that if/else-if/else executes in order and will stop when it finds an acceptable case. In your example, if a=5, b=5, c=5 , you'll return c when you should be returning 0. This is because a==b and a==b && b==c are not mutually exclusive - they can both be true, so the order matters.
Use two if statements if both if statement conditions could be true at the same time. In this example, both conditions can be true. You can pass and do great at the same time. Use an if/else statement if the two conditions are mutually exclusive meaning if one condition is true the other condition must be false.
Advantages: if-else statement helps us to make decision in programming and execute the right code. It also helps in debugging of code.
The IF-THEN-ELSE statement enables you to execute different Logic statements based on the value of an input, for example, to control the value of an item based on the value of an input item.
As a general rule, most if not all Intel CPUs assume forward branches are not taken the first time they see them. See Godbolt's work.
After that, the branch goes into a branch prediction cache, and past behavior is used to inform future branch prediction.
So in a tight loop, the effect of misordering is going to be relatively small. The branch predictor is going to learn which set of branches is most likely, and if you have non-trivial amount of work in the loop the small differences won't add up much.
In general code, most compilers by default (lacking another reason) will order the produced machine code roughly the way you ordered it in your code. Thus if statements are forward branches when they fail.
So you should order your branches in the order of decreasing likelihood to get the best branch prediction from a "first encounter".
A microbenchmark that loops tightly many times over a set of conditions and does trivial work is going to dominated by tiny effects of instruction count and the like, and little in the way of relative branch prediction issues. So in this case you must profile, as rules of thumb won't be reliable.
On top of that, vectorization and many other optimizations apply to tiny tight loops.
So in general code, put most likely code within the if
block, and that will result in the fewest un-cached branch prediction misses. In tight loops, follow the general rule to start, and if you need to know more you have little choice but to profile.
Naturally this all goes out the window if some tests are far cheaper than others.
I made up the following test to time the execution of two different if
...else if
blocks, one sorted in order of probability, the other sorted in reverse order:
#include <chrono>
#include <iostream>
#include <random>
#include <algorithm>
#include <iterator>
#include <functional>
using namespace std;
int main()
{
long long sortedTime = 0;
long long reverseTime = 0;
for (int n = 0; n != 500; ++n)
{
//Generate a vector of 5000 random integers from 1 to 100
random_device rnd_device;
mt19937 rnd_engine(rnd_device());
uniform_int_distribution<int> rnd_dist(1, 100);
auto gen = std::bind(rnd_dist, rnd_engine);
vector<int> rand_vec(5000);
generate(begin(rand_vec), end(rand_vec), gen);
volatile int nLow, nMid, nHigh;
chrono::time_point<chrono::high_resolution_clock> start, end;
//Sort the conditional statements in order of increasing likelyhood
nLow = nMid = nHigh = 0;
start = chrono::high_resolution_clock::now();
for (int& i : rand_vec) {
if (i >= 95) ++nHigh; //Least likely branch
else if (i < 20) ++nLow;
else if (i >= 20 && i < 95) ++nMid; //Most likely branch
}
end = chrono::high_resolution_clock::now();
reverseTime += chrono::duration_cast<chrono::nanoseconds>(end-start).count();
//Sort the conditional statements in order of decreasing likelyhood
nLow = nMid = nHigh = 0;
start = chrono::high_resolution_clock::now();
for (int& i : rand_vec) {
if (i >= 20 && i < 95) ++nMid; //Most likely branch
else if (i < 20) ++nLow;
else if (i >= 95) ++nHigh; //Least likely branch
}
end = chrono::high_resolution_clock::now();
sortedTime += chrono::duration_cast<chrono::nanoseconds>(end-start).count();
}
cout << "Percentage difference: " << 100 * (double(reverseTime) - double(sortedTime)) / double(sortedTime) << endl << endl;
}
Using MSVC2017 with /O2, the results show that the sorted version is consistently about 28% faster than the unsorted version. Per luk32's comment, I also switched the order of the two tests, which makes a noticeable difference (22% vs 28%). The code was run under Windows 7 on an Intel Xeon E5-2697 v2. This is, of course, very problem-specific and should not be interpreted as a conclusive answer.
No you should not, unless you are really sure that target system is affected. By default go by readability.
I highly doubt your results. I've modified your example a bit, so reversing execution is easier. Ideone rather consistently shows that reverse-order is faster, though not much. On certain runs even this occasionally flipped. I'd say the results are inconclusive. coliru reports no real difference as well. I can check Exynos5422 CPU on my odroid xu4 later on.
The thing is that modern CPUs have branch predictors. There is much-much logic dedicated to pre-fetching both data and instructions, and modern x86 CPUs are rather smart, when it comes to this. Some slimmer architectures like ARMs or GPUs might be vulnerable to this. But it is really highly dependent on both compiler and target system.
I would say that branch ordering optimization is pretty fragile and ephemeral. Do it only as some really fine-tuning step.
Code:
#include <chrono>
#include <iostream>
#include <random>
#include <algorithm>
#include <iterator>
#include <functional>
using namespace std;
int main()
{
//Generate a vector of random integers from 1 to 100
random_device rnd_device;
mt19937 rnd_engine(rnd_device());
uniform_int_distribution<int> rnd_dist(1, 100);
auto gen = std::bind(rnd_dist, rnd_engine);
vector<int> rand_vec(5000);
generate(begin(rand_vec), end(rand_vec), gen);
volatile int nLow, nMid, nHigh;
//Count the number of values in each of three different ranges
//Run the test a few times
for (int n = 0; n != 10; ++n) {
//Run the test again, but now sort the conditional statements in reverse-order of likelyhood
{
nLow = nMid = nHigh = 0;
auto start = chrono::high_resolution_clock::now();
for (int& i : rand_vec) {
if (i >= 95) ++nHigh; //Least likely branch
else if (i < 20) ++nLow;
else if (i >= 20 && i < 95) ++nMid; //Most likely branch
}
auto end = chrono::high_resolution_clock::now();
cout << "Reverse-sorted: \t" << chrono::duration_cast<chrono::nanoseconds>(end-start).count() << "ns" << endl;
}
{
//Sort the conditional statements in order of likelyhood
nLow = nMid = nHigh = 0;
auto start = chrono::high_resolution_clock::now();
for (int& i : rand_vec) {
if (i >= 20 && i < 95) ++nMid; //Most likely branch
else if (i < 20) ++nLow;
else if (i >= 95) ++nHigh; //Least likely branch
}
auto end = chrono::high_resolution_clock::now();
cout << "Sorted:\t\t\t" << chrono::duration_cast<chrono::nanoseconds>(end-start).count() << "ns" << endl;
}
cout << endl;
}
}
Just my 5 cents. It seems the effect of ordering if statements should depend on:
Probability of each if statement.
Number of iterations, so the branch predictor could kick in.
Likely/unlikely compiler hints, i.e. code layout.
To explore those factors, I benchmarked the following functions:
for (i = 0; i < data_sz * 1024; i++) {
if (data[i] < check_point) // highly likely
s += 3;
else if (data[i] > check_point) // samewhat likely
s += 2;
else if (data[i] == check_point) // very unlikely
s += 1;
}
for (i = 0; i < data_sz * 1024; i++) {
if (data[i] == check_point) // very unlikely
s += 1;
else if (data[i] > check_point) // samewhat likely
s += 2;
else if (data[i] < check_point) // highly likely
s += 3;
}
for (i = 0; i < data_sz * 1024; i++) {
if (likely(data[i] < check_point)) // highly likely
s += 3;
else if (data[i] > check_point) // samewhat likely
s += 2;
else if (unlikely(data[i] == check_point)) // very unlikely
s += 1;
}
for (i = 0; i < data_sz * 1024; i++) {
if (unlikely(data[i] == check_point)) // very unlikely
s += 1;
else if (data[i] > check_point) // samewhat likely
s += 2;
else if (likely(data[i] < check_point)) // highly likely
s += 3;
}
The data array contains random numbers between 0 and 100:
const int RANGE_MAX = 100;
uint8_t data[DATA_MAX * 1024];
static void data_init(int data_sz)
{
int i;
srand(0);
for (i = 0; i < data_sz * 1024; i++)
data[i] = rand() % RANGE_MAX;
}
The following results are for Intel i5@3,2 GHz and G++ 6.3.0. The first argument is the check_point (i.e. probability in %% for the highly likely if statement), the second argument is data_sz (i.e. number of iterations).
---------------------------------------------------------------------
Benchmark Time CPU Iterations
---------------------------------------------------------------------
ordered_ifs/50/4 4660 ns 4658 ns 150948
ordered_ifs/50/8 25636 ns 25635 ns 27852
ordered_ifs/75/4 4326 ns 4325 ns 162613
ordered_ifs/75/8 18242 ns 18242 ns 37931
ordered_ifs/100/4 1673 ns 1673 ns 417073
ordered_ifs/100/8 3381 ns 3381 ns 207612
reversed_ifs/50/4 5342 ns 5341 ns 126800
reversed_ifs/50/8 26050 ns 26050 ns 26894
reversed_ifs/75/4 3616 ns 3616 ns 193130
reversed_ifs/75/8 15697 ns 15696 ns 44618
reversed_ifs/100/4 3738 ns 3738 ns 188087
reversed_ifs/100/8 7476 ns 7476 ns 93752
ordered_ifs_with_hints/50/4 5551 ns 5551 ns 125160
ordered_ifs_with_hints/50/8 23191 ns 23190 ns 30028
ordered_ifs_with_hints/75/4 3165 ns 3165 ns 218492
ordered_ifs_with_hints/75/8 13785 ns 13785 ns 50574
ordered_ifs_with_hints/100/4 1575 ns 1575 ns 437687
ordered_ifs_with_hints/100/8 3130 ns 3130 ns 221205
reversed_ifs_with_hints/50/4 6573 ns 6572 ns 105629
reversed_ifs_with_hints/50/8 27351 ns 27351 ns 25568
reversed_ifs_with_hints/75/4 3537 ns 3537 ns 197470
reversed_ifs_with_hints/75/8 16130 ns 16130 ns 43279
reversed_ifs_with_hints/100/4 3737 ns 3737 ns 187583
reversed_ifs_with_hints/100/8 7446 ns 7446 ns 93782
For 4K iterations and (almost) 100% probability of highly liked statement the difference is huge 223%:
---------------------------------------------------------------------
Benchmark Time CPU Iterations
---------------------------------------------------------------------
ordered_ifs/100/4 1673 ns 1673 ns 417073
reversed_ifs/100/4 3738 ns 3738 ns 188087
For 4K iterations and 50% probability of highly liked statement the difference is about 14%:
---------------------------------------------------------------------
Benchmark Time CPU Iterations
---------------------------------------------------------------------
ordered_ifs/50/4 4660 ns 4658 ns 150948
reversed_ifs/50/4 5342 ns 5341 ns 126800
The difference between 4K and 8K iterations for (almost) 100% probability of highly liked statement is about two times (as expected):
---------------------------------------------------------------------
Benchmark Time CPU Iterations
---------------------------------------------------------------------
ordered_ifs/100/4 1673 ns 1673 ns 417073
ordered_ifs/100/8 3381 ns 3381 ns 207612
But the difference between 4K and 8K iterations for 50% probability of highly liked statement is 5,5 times:
---------------------------------------------------------------------
Benchmark Time CPU Iterations
---------------------------------------------------------------------
ordered_ifs/50/4 4660 ns 4658 ns 150948
ordered_ifs/50/8 25636 ns 25635 ns 27852
Why is so? Because of branch predictor misses. Here is the branch misses for each mentioned above case:
ordered_ifs/100/4 0.01% of branch-misses
ordered_ifs/100/8 0.01% of branch-misses
ordered_ifs/50/4 3.18% of branch-misses
ordered_ifs/50/8 15.22% of branch-misses
So on my i5 the branch predictor fails spectacularly for not-so-likely branches and large data sets.
For 4K iterations the results are somewhat worse for 50% probability and somewhat better for close to 100% probability:
---------------------------------------------------------------------
Benchmark Time CPU Iterations
---------------------------------------------------------------------
ordered_ifs/50/4 4660 ns 4658 ns 150948
ordered_ifs/100/4 1673 ns 1673 ns 417073
ordered_ifs_with_hints/50/4 5551 ns 5551 ns 125160
ordered_ifs_with_hints/100/4 1575 ns 1575 ns 437687
But for 8K iterations the results are always a bit better:
---------------------------------------------------------------------
Benchmark Time CPU Iterations
---------------------------------------------------------------------
ordered_ifs/50/8 25636 ns 25635 ns 27852
ordered_ifs/100/8 3381 ns 3381 ns 207612
ordered_ifs_with_hints/50/8 23191 ns 23190 ns 30028
ordered_ifs_with_hints/100/8 3130 ns 3130 ns 221205
So, the hints also help, but just a tiny bit.
Overall conclusion is: always benchmark the code, because the results may surprise.
Hope that helps.
Based on some of the other answers here, it looks like the only real answer is: it depends. It depends on at least the following (though not necessarily in this order of importance):
The only way to know for certain is to benchmark your specific case, preferably on a system identical to (or very similar to) the intended system on which the code will finally run. If it is intended to run on a set of varying systems with differing hardware, operating system, etc., then it is a good idea to benchmark across multiple variations to see which is best. It may even be a good idea to have the code be compiled with one ordering on one type of system and another ordering on another type of system.
My personal rule of thumb (for most cases, in the absence of a benchmark) is to order based on:
The way I usually see this solved for high-performance code is keeping the order that is most readable, but providing hints to the compiler. Here is one example from Linux kernel:
if (likely(access_ok(VERIFY_READ, from, n))) {
kasan_check_write(to, n);
res = raw_copy_from_user(to, from, n);
}
if (unlikely(res))
memset(to + (n - res), 0, res);
Here the assumption is that access check will pass, and that no error is returned in res
. Trying to reorder either of these if clauses would just confuse the code, but the likely()
and unlikely()
macros actually help readability by pointing out what is the normal case and what is the exception.
The Linux implementation of those macros uses GCC specific features. It seems that clang and Intel C compiler support the same syntax, but MSVC doesn't have such feature.
Also depends on your compiler and the platform you’re compiling for.
In theory, the most likely condition should make the control jump as less as possible.
Typically the most likely condition should be first:
if (most_likely) {
// most likely instructions
} else …
The most popular asm’s are based on conditional branches that jump when condition is true. That C code will be likely translated to such pseudo asm:
jump to ELSE if not(most_likely)
// most likely instructions
jump to end
ELSE:
…
This is because jumps make the cpu cancel the execution pipeline and stall because the program counter changed (for architectures that support pipelines which are really common). Then it’s about the compiler, which may or may not apply some sophisticated optimizations about having the statistically most probably condition to get the control make less jumps.
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