Which is fastest for zeroing-out an array? - c++

The question title is quite self-explanatory. I have an run loop that need a dynamic-sized array. But I do know the maximum of that size is going to be, so if needed, I can max it out instead of dynamically-sizing it.
Here's my code, I know that clock_t probably not the best choice for timing in terms of portability, but clock_t provide bad accuracy.
#include <iostream>
#include <cstdlib>
#include <cstring>
#include <cstdio>
#include <ctime>
#define TEST_SIZE 1000000
using namespace std;
int main(int argc, char *argv[])
{
int* arrayPtr = NULL;
int array[TEST_SIZE];
int it = 0;
clock_t begin, end;
begin = clock();
memset(array, 0, sizeof(int) * TEST_SIZE);
end = clock();
cout << "Time to memset: "<< end - begin << endl;
begin = clock();
fill(array, array + TEST_SIZE, 0);
end = clock();
cout << "Time to fill: "<< end - begin << endl;
begin = clock();
for ( it = 0 ; it < TEST_SIZE ; ++ it ) array[it] = 0;
end = clock();
cout << "Time to for: "<< end - begin << endl;
}
Here's my result:
Time to memset: 1590
Time to fill: 2334
Time to for: 2371
Now that I know new & delete does now zero-out the array, is there any way faster than these?
Please help me!

Basically you are comparing apples and oranges.
memset and the for-loop explicitly set the memory content to a particular value(in your example 0). While, the new merely allocates sufficient memory(atleast as requested) and delete merely marks the memory free for reuse. There is no change in the content at that memory. So new and delete do not initialize/de-initialize the actual memory content.
Technically, the content in that memory has an Indeterminate value. Quite literally, the values maybe anything and you cannot rely on them to be anything specific.They might be 0 but they are not guaranteed to be. In fact using these values will cause your program to have an Undefined Behavior.
A new call for an class does two things:
Allocates requested memory &
Calls constructor for the class to initialize the object.
But note that in your case the type is an int and there is no default initialization for int.

new only allocates a memory block, it doesn't initialize the allocated memory.
To initialize an array you can use memset() or do it manually.

Good compiler will optimize all 4 approaches into 1 call of memset. Also, what's the difference between 3rd and 4th approach?
You can also do
int array[TEST_SIZE] = {};
gain readability and save 1 line of code.

I would resort to memset in this case. fill is generic, but the platform can offer you some really nice tricks in its implementation of memset. This is possible, because the function is unambigous in what it does and dumb enough:
It could employ (S)DMA for actual memory modification, which could have faster interface to memories. Also, while it runs the task, the CPU could do something else
When it knows it has to sequentially write contiguous memory region, it could do something preventive about cache invalidation
The implementation in ARM-based embedded systems can benefit from burst mode; it is realized with special assembler instruction (STMFD, STMFA etc.) and in this mode 3 writes are equal two normal writes timewise

Related

Memory error at lower limit than expected when implementing Sieve of Eratosthenes in C++

My question is related to a problem described here. I have written a C++ implementation of the Sieve of Eratosthenes that hits a memory overflow if I set the target value too high. As suggested in that question, I am able to fix the problem by using a boolean <vector> instead of a normal array.
However, I am hitting the memory overflow at a much lower value than expected, around n = 1 200 000. The discussion in the thread linked above suggests that the normal C++ boolean array uses a byte for each entry, so with 2 GB of RAM, I expect to be able to get to somewhere on the order of n = 2 000 000 000. Why is the practical memory limit so much smaller?
And why does using <vector>, which encodes the booleans as bits instead of bytes, yield more than an eightfold increase in the computable limit?
Here is a working example of my code, with n set to a small value.
#include <iostream>
#include <cmath>
#include <vector>
using namespace std;
int main() {
// Count and sum of primes below target
const int target = 100000;
// Code I want to use:
bool is_idx_prime[target];
for (unsigned int i = 0; i < target; i++) {
// initialize by assuming prime
is_idx_prime[i] = true;
}
// But doesn't work for target larger than ~1200000
// Have to use this instead
// vector <bool> is_idx_prime(target, true);
for (unsigned int i = 2; i < sqrt(target); i++) {
// All multiples of i * i are nonprime
// If i itself is nonprime, no need to check
if (is_idx_prime[i]) {
for (int j = i; i * j < target; j++) {
is_idx_prime[i * j] = 0;
}
}
}
// 0 and 1 are nonprime by definition
is_idx_prime[0] = 0; is_idx_prime[1] = 0;
unsigned long long int total = 0;
unsigned int count = 0;
for (int i = 0; i < target; i++) {
// cout << "\n" << i << ": " << is_idx_prime[i];
if (is_idx_prime[i]) {
total += i;
count++;
}
}
cout << "\nCount: " << count;
cout << "\nTotal: " << total;
return 0;
}
outputs
Count: 9592
Total: 454396537
C:\Users\[...].exe (process 1004) exited with code 0.
Press any key to close this window . . .
Or, changing n = 1 200 000 yields
C:\Users\[...].exe (process 3144) exited with code -1073741571.
Press any key to close this window . . .
I am using the Microsoft Visual Studio interpreter on Windows with the default settings.
Turning the comment into a full answer:
Your operating system reserves a special section in the memory to represent the call stack of your program. Each function call pushes a new stack frame onto the stack. If the function returns, the stack frame is removed from the stack. The stack frame includes the memory for the parameters to your function and the local variables of the function. The remaining memory is referred to as the heap. On the heap, arbitrary memory allocations can be made, whereas the structure of the stack is governed by the control flow of your program. A limited amount of memory is reserved for the stack, when it gets full (e.g. due to too many nested function calls or due to too large local objects), you get a stack overflow. For this reason, large objects should be allocated on the heap.
General references on stack/heap: Link, Link
To allocate memory on the heap in C++, you can:
Use vector<bool> is_idx_prime(target);, which internally does a heap allocation and deallocates the memory for you when the vector goes out of scope. This is the most convenient way.
Use a smart pointer to manage the allocation: auto is_idx_prime = std::make_unique<bool[]>(target); This will also automatically deallocate the memory when the array goes out of scope.
Allocate the memory manually. I am mentioning this only for educational purposes. As mentioned by Paul in the comments, doing a manual memory allocation is generally not advisable, because you have to manually deallocate the memory again. If you have a large program with many memory allocations, inevitably you will forget to free some allocation, creating a memory leak. When you have a long-running program, such as a system service, creating repeated memory leaks will eventually fill up the entire memory (and speaking from personal experience, this absolutely does happen in practice). But in theory, if you would want to make a manual memory allocation, you would use bool *is_idx_prime = new bool[target]; and then later deallocate again with delete [] is_idx_prime.

What is the fastest implementation for accessing and changing a long array of boolean?

I want to implement a very long boolean array (as a binary genome) and access some intervals to check if that interval is all true or not, and in addition I want to change some intervals value,
For example, I can create 4 representations:
boolean binaryGenome1[10e6]={false};
vector<bool> binaryGenome2; binaryGenome2.resize(10e6);
vector<char> binaryGenome3; binaryGenome3.resize(10e6);
bitset<10e6> binaryGenome4;
and access this way:
inline bool checkBinGenome(long long start , long long end){
for(long long i = start; i < end+1 ; i++)
if(binaryGenome[i] == false)
return false;
return true;
}
inline void changeBinGenome(long long start , long long end){
for(long long i = start; i < end+1 ; i++)
binaryGenome[i] = true;
}
vector<char> and normal boolean array (ass stores every boolean in a byte) both seem to be a poor choice as I need to be efficient in space. But what are the differences between vector<bool> and bitset?
Somewhere else I read that vector has some overhead as you can choose it's size and compile time - "overhead" for what - accessing? And how much is that overhead?
As I want to access array elements many times using CheckBinGenome() and changeBinGenome(), what is the fastest implementation?
Use std::bitset It's the best.
If the length of the data is known at compile time, consider std::array<bool> or std::bitset. The latter is likely to be more space-efficient (you'll have to measure whether the associated extra work in access times outweighs the speed gain from reducing cache pressure - that will depend on your workload).
If your array's length is not fixed, then you'll need a std::vector<bool> or std::vector<char>; there's also boost::dynamic_bitset but I've never used that.
If you will be changing large regions at once, as your sample implies, it may well be worth constructing your own representation and manipulating the underlying storage directly, rather than one bit at a time through the iterators. For example, if you use an array of char as the underlying representation, then setting a large range to 0 or 1 is mostly a memset() or std::fill() call, with computation only for the values at the start and end of the range. I'd start with a simple implementation and a good set of unit tests before trying anything like that.
It is (at least theoretically) possible that your Standard Library has specialized versions of algorithms for the iterators of std::vector<bool>, std::array<bool> and/or std::bitset that do exactly the above, or you may be able to write and contribute such specializations. That's a better path if possible - the world may thank you, and you'll have shared some of the maintenance responsibility.
Important note
If using std::array<bool>, you do need to be aware that, unlike other std::array<> instantiations, it does not implement the standard container semantics. That's not to say it shouldn't be used, but make sure you understand its foibles!
E.g., checking whether all the elements are true
I am really NOT sure whether this will give us more overheads than speedup or not. Actually I think that nowadays CPU can do this quite fast, are you really experiencing a poor performance? (or is this just a skeleton of your real problem?)
#include <omp.h>
#include <iostream>
#include <cstring>
using namespace std;
#define N 10000000
bool binaryGenome[N];
int main() {
memset(binaryGenome, true, sizeof(bool) * N);
int shouldBreak = 0;
bool result = true;
cout << result << endl;
binaryGenome[9999995] = false;
bool go = true;
uint give = 0;
#pragma omp parallel
{
uint start, stop;
#pragma omp critical
{
start = give;
give += N / omp_get_num_threads();
stop = give;
if (omp_get_thread_num() == omp_get_num_threads() - 1)
stop = N;
}
while (start < stop && go) {
if (!binaryGenome[start]) {
cout << start << endl;
go = false;
result = false;
}
++start;
}
}
cout << result << endl;
}

Read from 5x10^8 different array elements, 4 bytes each time

So I'm taking an assembly course and have been tasked with making a benchmark program for my computer - needless to say, I'm a bit stuck on this particular piece.
As the title says, we're supposed to create a function to read from 5x108 different array elements, 4 bytes each time. My only problem is, I don't even think it's possible for me to create an array of 500 million elements? So what exactly should I be doing? (For the record, I'm trying to code this in C++)
//Benchmark Program in C++
#include <iostream>
#include <time.h>
using namespace std;
int main() {
clock_t t1,t2;
int readTemp;
int* arr = new int[5*100000000];
t1=clock();
cout << "Memory Test"
<< endl;
for(long long int j=0; j <= 500000000; j+=1)
{
readTemp = arr[j];
}
t2=clock();
float diff ((float)t2-(float)t1);
float seconds = diff / CLOCKS_PER_SEC;
cout << "Time Taken: " << seconds << " seconds" <<endl;
}
Your system tries to allocate 2 billion bytes (1907 MiB), while the maximum available memory for Windows is 2 gigabytes (2048 MiB). These numbers are very close. It's likely your system has allocated the remaining 141 MiB for other stuff. Even though your code is very small, OS is pretty liberal in allocation of the 2048 MiB address space, wasting large chunks for e.g. the following:
C++ runtime (standard library and other libraries)
Stack: OS allocates a lot of memory to support recursive functions; it doesn't matter that you don't have any
Paddings between virtual memory pages
Paddings used just to make specific sections of data appear at specific addresses (e.g. 0x00400000 for lowest code address, or something like that, is used in Windows)
Padding used to randomize the values of pointers
There's a Windows application that shows a memory map of a running process. You can use it by adding a delay (e.g. getchar()) before the allocation and looking at the largest contiguous free block of memory at that point, and which allocations prevent it from being large enough.
The size is possible :
5 * 10^8 * 4 = ~1.9 GB.
First you will need to allocate your array (dynamically only ! There's no such stack memory).
For your task the 4 bytes is the size of an interger, so you can do it
int* arr = new int[5*100000000];
Alternatively, if you want to be more precise, you can allocate it as bytes
int* arr = new char[5*4*100000000];
Next, you need to make the memory dirty (meaning write something into it) :
memset(arr,0,5*100000000*sizeof(int));
Now, you can benchmark cache misses (I'm guessing that's what it's intended in such a huge array) :
int randomIndex= GetRandomNumberBetween(0,5*100000000-1); // make your own random implementation
int bytes = arr[randomIndex]; // access 4 bytes through integer
If you want 5* 10 ^8 accesses randomly you can make a knuth shuffle inside your getRandomNumber instead of using pure random.

How to zero a vector<bool>?

I have a vector<bool> and I'd like to zero it out. I need the size to stay the same.
The normal approach is to iterate over all the elements and reset them. However, vector<bool> is a specially optimized container that, depending on implementation, may store only one bit per element. Is there a way to take advantage of this to clear the whole thing efficiently?
bitset, the fixed-length variant, has the set function. Does vector<bool> have something similar?
There seem to be a lot of guesses but very few facts in the answers that have been posted so far, so perhaps it would be worthwhile to do a little testing.
#include <vector>
#include <iostream>
#include <time.h>
int seed(std::vector<bool> &b) {
srand(1);
for (int i = 0; i < b.size(); i++)
b[i] = ((rand() & 1) != 0);
int count = 0;
for (int i = 0; i < b.size(); i++)
if (b[i])
++count;
return count;
}
int main() {
std::vector<bool> bools(1024 * 1024 * 32);
int count1= seed(bools);
clock_t start = clock();
bools.assign(bools.size(), false);
double using_assign = double(clock() - start) / CLOCKS_PER_SEC;
int count2 = seed(bools);
start = clock();
for (int i = 0; i < bools.size(); i++)
bools[i] = false;
double using_loop = double(clock() - start) / CLOCKS_PER_SEC;
int count3 = seed(bools);
start = clock();
size_t size = bools.size();
bools.clear();
bools.resize(size);
double using_clear = double(clock() - start) / CLOCKS_PER_SEC;
int count4 = seed(bools);
start = clock();
std::fill(bools.begin(), bools.end(), false);
double using_fill = double(clock() - start) / CLOCKS_PER_SEC;
std::cout << "Time using assign: " << using_assign << "\n";
std::cout << "Time using loop: " << using_loop << "\n";
std::cout << "Time using clear: " << using_clear << "\n";
std::cout << "Time using fill: " << using_fill << "\n";
std::cout << "Ignore: " << count1 << "\t" << count2 << "\t" << count3 << "\t" << count4 << "\n";
}
So this creates a vector, sets some randomly selected bits in it, counts them, and clears them (and repeats). The setting/counting/printing is done to ensure that even with aggressive optimization, the compiler can't/won't optimize out our code to clear the vector.
I found the results interesting, to say the least. First the result with VC++:
Time using assign: 0.141
Time using loop: 0.068
Time using clear: 0.141
Time using fill: 0.087
Ignore: 16777216 16777216 16777216 16777216
So, with VC++, the fastest method is what you'd probably initially think of as the most naive -- a loop that assigns to each individual item. With g++, the results are just a tad different though:
Time using assign: 0.002
Time using loop: 0.08
Time using clear: 0.002
Time using fill: 0.001
Ignore: 16777216 16777216 16777216 16777216
Here, the loop is (by far) the slowest method (and the others are basically tied -- the 1 ms difference in speed isn't really repeatable).
For what it's worth, in spite of this part of the test showing up as much faster with g++, the overall times were within 1% of each other (4.944 seconds for VC++, 4.915 seconds for g++).
Try
v.assign(v.size(), false);
Have a look at this link:
http://www.cplusplus.com/reference/vector/vector/assign/
Or the following
std::fill(v.begin(), v.end(), 0)
You are out of luck. std::vector<bool> is a specialization that apparently does not even guarantee contiguous memory or random access iterators (or even forward?!), at least based on my reading of cppreference -- decoding the standard would be the next step.
So write implementation specific code, pray and use some standard zeroing technique, or do not use the type. I vote 3.
The recieved wisdom is that it was a mistake, and may become deprecated. Use a different container if possible. And definitely do not mess around with the internal guts, or rely on its packing. Check if you have dynamic bitset in your std library mayhap, or roll your own wrapper around std::vector<unsigned char>.
I ran into this as a performance issue recently. I hadn't tried looking for answers on the web but did find that using assignment with the constructor was 10x faster using g++ O3 (Debian 4.7.2-5) 4.7.2. I found this question because I was looking to avoid the additional malloc. Looks like the assign is optimized as well as the constructor and about twice as good in my benchmark.
unsigned sz = v.size(); for (unsigned ii = 0; ii != sz; ++ii) v[ii] = false;
v = std::vector(sz, false); // 10x faster
v.assign(sz, false); > // 20x faster
So, I wouldn't say to shy away from using the specialization of vector<bool>; just be very cognizant of the bit vector representation.
Use the std::vector<bool>::assign method, which is provided for this purpose.
If an implementation is specific for bool, then assign, most likely, also implemented appropriately.
If you're able to switch from vector<bool> to a custom bit vector representation, then you can use a representation designed specifically for fast clear operations, and get some potentially quite significant speedups (although not without tradeoffs).
The trick is to use integers per bit vector entry and a single 'rolling threshold' value that determines which entries actually then evaluate to true.
You can then clear the bit vector by just increasing the single threshold value, without touching the rest of the data (until the threshold overflows).
A more complete write up about this, and some example code, can be found here.
It seems that one nice option hasn't been mentioned yet:
auto size = v.size();
v.resize(0);
v.resize(size);
The STL implementer will supposedly have picked the most efficient means of zeroising, so we don't even need to know which particular method that might be. And this works with real vectors as well (think templates), not just the std::vector<bool> monstrosity.
There can be a minuscule added advantage for reused buffers in loops (e.g. sieves, whatever), where you simply resize to whatever will be needed for the current round, instead of to the original size.
As an alternative to std::vector<bool>, check out boost::dynamic_bitset (https://www.boost.org/doc/libs/1_72_0/libs/dynamic_bitset/dynamic_bitset.html). You can zero one (ie, set each element to false) out by calling the reset() member function.
Like clearing, say, std::vector<int>, reset on a boost::dynamic_bitset can also compile down to a memset, whereas you probably won't get that with std::vector<bool>. For example, see https://godbolt.org/z/aqSGCi

C++ Array vs vector

when using C++ vector, time spent is 718 milliseconds,
while when I use Array, time is almost 0 milliseconds.
Why so much performance difference?
int _tmain(int argc, _TCHAR* argv[])
{
const int size = 10000;
clock_t start, end;
start = clock();
vector<int> v(size*size);
for(int i = 0; i < size; i++)
{
for(int j = 0; j < size; j++)
{
v[i*size+j] = 1;
}
}
end = clock();
cout<< (end - start)
<<" milliseconds."<<endl; // 718 milliseconds
int f = 0;
start = clock();
int arr[size*size];
for(int i = 0; i < size; i++)
{
for(int j = 0; j < size; j++)
{
arr[i*size+j] = 1;
}
}
end = clock();
cout<< ( end - start)
<<" milliseconds."<<endl; // 0 milliseconds
return 0;
}
Your array arr is allocated on the stack, i.e., the compiler has calculated the necessary space at compile time. At the beginning of the method, the compiler will insert an assembler statement like
sub esp, 10000*10000*sizeof(int)
which means the stack pointer (esp) is decreased by 10000 * 10000 * sizeof(int) bytes to make room for an array of 100002 integers. This operation is almost instant.
The vector is heap allocated and heap allocation is much more expensive. When the vector allocates the required memory, it has to ask the operating system for a contiguous chunk of memory and the operating system will have to perform significant work to find this chunk of memory.
As Andreas says in the comments, all your time is spent in this line:
vector<int> v(size*size);
Accessing the vector inside the loop is just as fast as for the array.
For an additional overview see e.g.
[What and where are the stack and heap?
[http://computer.howstuffworks.com/c28.htm][2]
[http://www.cprogramming.com/tutorial/virtual_memory_and_heaps.html][3]
Edit:
After all the comments about performance optimizations and compiler settings, I did some measurements this morning. I had to set size=3000 so I did my measurements with roughly a tenth of the original entries. All measurements performed on a 2.66 GHz Xeon:
With debug settings in Visual Studio 2008 (no optimization, runtime checks, and debug runtime) the vector test took 920 ms compared to 0 ms for the array test.
98,48 % of the total time was spent in vector::operator[], i.e., the time was indeed spent on the runtime checks.
With full optimization, the vector test needed 56 ms (with a tenth of the original number of entries) compared to 0 ms for the array.
The vector ctor required 61,72 % of the total application running time.
So I guess everybody is right depending on the compiler settings used. The OP's timing suggests an optimized build or an STL without runtime checks.
As always, the morale is: profile first, optimize second.
If you are compiling this with a Microsoft compiler, to make it a fair comparison you need to switch off iterator security checks and iterator debugging, by defining _SECURE_SCL=0 and _HAS_ITERATOR_DEBUGGING=0.
Secondly, the constructor you are using initialises each vector value with zero, and you are not memsetting the array to zero before filling it. So you are traversing the vector twice.
Try:
vector<int> v;
v.reserve(size*size);
To get a fair comparison I think something like the following should be suitable:
#include <sys/time.h>
#include <vector>
#include <iostream>
#include <algorithm>
#include <numeric>
int main()
{
static size_t const size = 7e6;
timeval start, end;
int sum;
gettimeofday(&start, 0);
{
std::vector<int> v(size, 1);
sum = std::accumulate(v.begin(), v.end(), 0);
}
gettimeofday(&end, 0);
std::cout << "= vector =" << std::endl
<< "(" << end.tv_sec - start.tv_sec
<< " s, " << end.tv_usec - start.tv_usec
<< " us)" << std::endl
<< "sum = " << sum << std::endl << std::endl;
gettimeofday(&start, 0);
int * const arr = new int[size];
std::fill(arr, arr + size, 1);
sum = std::accumulate(arr, arr + size, 0);
delete [] arr;
gettimeofday(&end, 0);
std::cout << "= Simple array =" << std::endl
<< "(" << end.tv_sec - start.tv_sec
<< " s, " << end.tv_usec - start.tv_usec
<< " us)" << std::endl
<< "sum = " << sum << std::endl << std::endl;
}
In both cases, dynamic allocation and deallocation is performed, as well as accesses to elements.
On my Linux box:
$ g++ -O2 foo.cpp
$ ./a.out
= vector =
(0 s, 21085 us)
sum = 7000000
= Simple array =
(0 s, 21148 us)
sum = 7000000
Both the std::vector<> and array cases have comparable performance. The point is that std::vector<> can be just as fast as a simple array if your code is structured appropriately.
On a related note switching off optimization makes a huge difference in this case:
$ g++ foo.cpp
$ ./a.out
= vector =
(0 s, 120357 us)
sum = 7000000
= Simple array =
(0 s, 60569 us)
sum = 7000000
Many of the optimization assertions made by folks like Neil and jalf are entirely correct.
HTH!
EDIT: Corrected code to force vector destruction to be included in time measurement.
Change assignment to eg. arr[i*size+j] = i*j, or some other non-constant expression. I think compiler optimizes away whole loop, as assigned values are never used, or replaces array with some precalculated values, so that loop isn't even executed and you get 0 milliseconds.
Having changed 1 to i*j, i get the same timings for both vector and array, unless pass -O1 flag to gcc, then in both cases I get 0 milliseconds.
So, first of all, double-check whether your loops are actually executed.
You are probably using VC++, in which case by default standard library components perform many checks at run-time (e.g whether index is in range). These checks can be turned off by defining some macros as 0 (I think _SECURE_SCL).
Another thing is that I can't even run your code as is: the automatic array is way too large for the stack. When I make it global, then with MingW 3.5 the times I get are 627 ms for the vector and 26875 ms (!!) for the array, which indicates there are really big problems with an array of this size.
As to this particular operation (filling with value 1), you could use the vector's constructor:
std::vector<int> v(size * size, 1);
and the fill algorithm for the array:
std::fill(arr, arr + size * size, 1);
Two things. One, operator[] is much slower for vector. Two, vector in most implementations will behave weird at times when you add in one element at a time. I don't mean just that it allocates more memory but it does some genuinely bizarre things at times.
The first one is the main issue. For a mere million bytes, even reallocating the memory a dozen times should not take long (it won't do it on every added element).
In my experiments, preallocating doesn't change its slowness much. When the contents are actual objects it basically grinds to a halt if you try to do something simple like sort it.
Conclusion, don't use stl or mfc vectors for anything large or computation heavy. They are implemented poorly/slowly and cause lots of memory fragmentation.
When you declare the array, it lives in the stack (or in static memory zone), which it's very fast, but can't increase its size.
When you declare the vector, it assign dynamic memory, which it's not so fast, but is more flexible in the memory allocation, so you can change the size and not dimension it to the maximum size.
When profiling code, make sure you are comparing similar things.
vector<int> v(size*size);
initializes each element in the vector,
int arr[size*size];
doesn't. Try
int arr[size * size];
memset( arr, 0, size * size );
and measure again...