Promela atomic propositions for multiple proctype instances - verification

I was wondering how to write never claims that stand for all instances of a proctype. For example if I have the following proposition:
#define c (camera_node[SomePid]:start_publishing == 0)
Now if I instantiate 5 instances of the camera_node how can I create an atomic proposition checking if start_publishing is equal to zero for all of these 5 instances?

Well, it isn't the most beautiful, but I've done this sort of thing in the past. (Note: this code probably isn't proper Promela but you get the point)
#define NUMBER_OF_CAMERA_NODES 5
pid_t cameraPids [NUMBER_OF_CAMERA_NODES];
byte_t cameraPidIndex = 0
active [NUMBER_OF_CAMERA_NODES] proctype cameraTask () {
atomic { cameraPids[cameraPidIndex++] = _pid }
// ...
}
#define cameraCheck( index ) (0 == camera_node[cameraPids[(index)]]:start_publishing)
#define checkAllCameras (cameraCheck(0) && cameraCheck(1) && ...)

Related

Parallel Dynamic Programming with CUDA

It is my first attempt to implement recursion with CUDA. The goal is to extract all the combinations from a set of chars "12345" using the power of CUDA to parallelize dynamically the task. Here is my kernel:
__device__ char route[31] = { "_________________________"};
__device__ char init[6] = { "12345" };
__global__ void Recursive(int depth) {
// up to depth 6
if (depth == 5) return;
// newroute = route - idx
int x = depth * 6;
printf("%s\n", route);
int o = 0;
int newlen = 0;
for (int i = 0; i<6; ++i)
{
if (i != threadIdx.x)
{
route[i+x-o] = init[i];
newlen++;
}
else
{
o = 1;
}
}
Recursive<<<1,newlen>>>(depth + 1);
}
__global__ void RecursiveCount() {
Recursive <<<1,5>>>(0);
}
The idea is to exclude 1 item (the item corresponding to the threadIdx) in each different thread. In each recursive call, using the variable depth, it works over a different base (variable x) on the route device variable.
I expect the kernel prompts something like:
2345_____________________
1345_____________________
1245_____________________
1234_____________________
2345_345_________________
2345_245_________________
2345_234_________________
2345_345__45_____________
2345_345__35_____________
2345_345__34_____________
..
2345_245__45_____________
..
But it prompts ...
·_____________
·_____________
·_____________
·_____________
·_____________
·2345
·2345
·2345
·2345
...
What I´m doing wrong?
What I´m doing wrong?
I may not articulate every problem with your code, but these items should get you a lot closer.
I recommend providing a complete example. In my view it is basically required by Stack Overflow, see item 1 here, note use of the word "must". Your example is missing any host code, including the original kernel call. It's only a few extra lines of code, why not include it? Sure, in this case, I can deduce what the call must have been, but why not just include it? Anyway, based on the output you indicated, it seems fairly evident the launch configuration of the host launch would have to be <<<1,1>>>.
This doesn't seem to be logical to me:
I expect the kernel prompts something like:
2345_____________________
The very first thing your kernel does is print out the route variable, before making any changes to it, so I would expect _____________________. However we can "fix" this by moving the printout to the end of the kernel.
You may be confused about what a __device__ variable is. It is a global variable, and there is only one copy of it. Therefore, when you modify it in your kernel code, every thread, in every kernel, is attempting to modify the same global variable, at the same time. That cannot possibly have orderly results, in any thread-parallel environment. I chose to "fix" this by making a local copy for each thread to work on.
You have an off-by-1 error, as well as an extent error in this loop:
for (int i = 0; i<6; ++i)
The off-by-1 error is due to the fact that you are iterating over 6 possible items (that is, i can reach a value of 5) but there are only 5 items in your init variable (the 6th item being a null terminator. The correct indexing starts out over 0-4 (with one of those being skipped). On subsequent iteration depths, its necessary to reduce this indexing extent by 1. Note that I've chosen to fix the first error here by increasing the length of init. There are other ways to fix, of course. My method inserts an extra _ between depths in the result.
You assume that at each iteration depth, the correct choice of items is the same, and in the same order, i.e. init. However this is not the case. At each depth, the choices of items must be selected not from the unchanging init variable, but from the choices passed from previous depth. Therefore we need a local, per-thread copy of init also.
A few other comments about CUDA Dynamic Parallelism (CDP). When passing pointers to data from one kernel scope to a child scope, local space pointers cannot be used. Therefore I allocate for the local copy of route from the heap, so it can be passed to child kernels. init can be deduced from route, so we can use an ordinary local variable for myinit.
You're going to quickly hit some dynamic parallelism (and perhaps memory) limits here if you continue this. I believe the total number of kernel launches for this is 5^5, which is 3125 (I'm doing this quickly, I may be mistaken). CDP has a pending launch limit of 2000 kernels by default. We're not hitting this here according to what I see, but you'll run into that sooner or later if you increase the depth or width of this operation. Furthermore, in-kernel allocations from the device heap are by default limited to 8KB. I don't seem to be hitting that limit, but probably I am, so my design should probably be modified to fix that.
Finally, in-kernel printf output is limited to the size of a particular buffer. If this technique is not already hitting that limit, it will soon if you increase the width or depth.
Here is a worked example, attempting to address the various items above. I'm not claiming it is defect free, but I think the output is closer to your expectations. Note that due to character limits on SO answers, I've truncated/excerpted some of the output.
$ cat t1639.cu
#include <stdio.h>
__device__ char route[31] = { "_________________________"};
__device__ char init[7] = { "12345_" };
__global__ void Recursive(int depth, const char *oroute) {
char *nroute = (char *)malloc(31);
char myinit[7];
if (depth == 0) memcpy(myinit, init, 6);
else memcpy(myinit, oroute+(depth-1)*6, 6);
myinit[6] = 0;
if (nroute == NULL) {printf("oops\n"); return;}
memcpy(nroute, oroute, 30);
nroute[30] = 0;
// up to depth 6
if (depth == 5) return;
// newroute = route - idx
int x = depth * 6;
//printf("%s\n", nroute);
int o = 0;
int newlen = 0;
for (int i = 0; i<(6-depth); ++i)
{
if (i != threadIdx.x)
{
nroute[i+x-o] = myinit[i];
newlen++;
}
else
{
o = 1;
}
}
printf("%s\n", nroute);
Recursive<<<1,newlen>>>(depth + 1, nroute);
}
__global__ void RecursiveCount() {
Recursive <<<1,5>>>(0, route);
}
int main(){
RecursiveCount<<<1,1>>>();
cudaDeviceSynchronize();
}
$ nvcc -o t1639 t1639.cu -rdc=true -lcudadevrt -arch=sm_70
$ cuda-memcheck ./t1639
========= CUDA-MEMCHECK
2345_____________________
1345_____________________
1245_____________________
1235_____________________
1234_____________________
2345__345________________
2345__245________________
2345__235________________
2345__234________________
2345__2345_______________
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2345__345___35___________
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2345__345___45____5______
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2345__345___45____4______
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2345__345___45____45____5
2345__345___45____45____4
2345__345___35____5______
2345__345___35____3______
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2345__345___35____5______
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2345__345___35____3______
2345__345___35____3_____3
2345__345___35____35____5
2345__345___35____35____3
2345__345___34____4______
2345__345___34____3______
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2345__345___34____4______
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2345__345___34____3______
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2345__345___34____34____4
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2345__345___345___45_____
2345__345___345___35_____
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2345__345___345___35____5
2345__345___345___35____3
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2345__345___345___34____3
2345__245___45___________
2345__245___25___________
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2345__245___245__________
2345__245___45____5______
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2345__245___25____5______
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2345__245___25____2______
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2345__245___25____25____5
2345__245___25____25____2
2345__245___24____4______
2345__245___24____2______
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2345__245___24____4______
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2345__245___24____2______
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2345__245___24____24____4
2345__245___24____24____2
2345__245___245___45_____
2345__245___245___25_____
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2345__245___245___45____5
2345__245___245___45____4
2345__245___245___25____5
2345__245___245___25____2
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2345__245___245___24____2
2345__235___35___________
2345__235___25___________
2345__235___23___________
2345__235___235__________
2345__235___35____5______
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2345__235___35____5______
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2345__235___35____3______
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2345__235___35____35____5
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2345__235___25____5______
2345__235___25____2______
2345__235___25____25_____
2345__235___25____5______
2345__235___25____5_____5
2345__235___25____2______
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2345__235___25____25____5
2345__235___25____25____2
2345__235___23____3______
2345__235___23____2______
2345__235___23____23_____
2345__235___23____3______
2345__235___23____3_____3
2345__235___23____2______
2345__235___23____2_____2
2345__235___23____23____3
2345__235___23____23____2
2345__235___235___35_____
2345__235___235___25_____
2345__235___235___23_____
2345__235___235___35____5
2345__235___235___35____3
2345__235___235___25____5
2345__235___235___25____2
2345__235___235___23____3
2345__235___235___23____2
2345__234___34___________
2345__234___24___________
2345__234___23___________
2345__234___234__________
2345__234___34____4______
2345__234___34____3______
2345__234___34____34_____
2345__234___34____4______
2345__234___34____4_____4
2345__234___34____3______
2345__234___34____3_____3
2345__234___34____34____4
2345__234___34____34____3
2345__234___24____4______
2345__234___24____2______
2345__234___24____24_____
2345__234___24____4______
2345__234___24____4_____4
2345__234___24____2______
2345__234___24____2_____2
2345__234___24____24____4
2345__234___24____24____2
2345__234___23____3______
2345__234___23____2______
2345__234___23____23_____
2345__234___23____3______
2345__234___23____3_____3
2345__234___23____2______
2345__234___23____2_____2
2345__234___23____23____3
2345__234___23____23____2
2345__234___234___34_____
2345__234___234___24_____
2345__234___234___23_____
2345__234___234___34____4
2345__234___234___34____3
2345__234___234___24____4
2345__234___234___24____2
2345__234___234___23____3
2345__234___234___23____2
2345__2345__345__________
2345__2345__245__________
2345__2345__235__________
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2345__2345__345___45_____
2345__2345__345___35_____
2345__2345__345___34_____
2345__2345__345___45____5
2345__2345__345___45____4
2345__2345__345___35____5
2345__2345__345___35____3
2345__2345__345___34____4
2345__2345__345___34____3
2345__2345__245___45_____
2345__2345__245___25_____
2345__2345__245___24_____
2345__2345__245___45____5
2345__2345__245___45____4
2345__2345__245___25____5
2345__2345__245___25____2
2345__2345__245___24____4
2345__2345__245___24____2
2345__2345__235___35_____
2345__2345__235___25_____
2345__2345__235___23_____
2345__2345__235___35____5
2345__2345__235___35____3
2345__2345__235___25____5
2345__2345__235___25____2
2345__2345__235___23____3
2345__2345__235___23____2
2345__2345__234___34_____
2345__2345__234___24_____
2345__2345__234___23_____
2345__2345__234___34____4
2345__2345__234___34____3
2345__2345__234___24____4
2345__2345__234___24____2
2345__2345__234___23____3
2345__2345__234___23____2
1345__345________________
1345__145________________
1345__135________________
1345__134________________
1345__1345_______________
1345__345___45___________
1345__345___35___________
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1345__345___345__________
1345__345___45____5______
1345__345___45____4______
1345__345___45____45_____
1345__345___45____5______
1345__345___45____5_____5
1345__345___45____4______
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1345__345___45____45____5
1345__345___45____45____4
1345__345___35____5______
1345__345___35____3______
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1345__345___35____35____5
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1345__145___45___________
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1345__145___45____45____5
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1345__145___15____5______
1345__145___15____1______
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1345__145___15____5______
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1345__145___15____1______
1345__145___15____1_____1
1345__145___15____15____5
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1345__145___14____1______
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1345__145___14____1______
1345__145___14____1_____1
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1345__145___14____14____1
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1345__145___145___15_____
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1345__145___145___14____1
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1345__135___35____35____5
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1345__135___15____5______
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1345__135___15____1______
1345__135___15____1_____1
1345__135___15____15____5
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1345__135___13____1______
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1345__134___14____1______
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1345__134___14____1______
1345__134___14____1_____1
1345__134___14____14____4
1345__134___14____14____1
1345__134___13____3______
1345__134___13____1______
1345__134___13____13_____
1345__134___13____3______
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1345__134___13____1______
1345__134___13____1_____1
1345__134___13____13____3
1345__134___13____13____1
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1345__134___134___13____3
1345__134___134___13____1
1345__1345__345__________
1345__1345__145__________
1345__1345__135__________
1345__1345__134__________
1345__1345__345___45_____
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1345__1345__145___15_____
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1345__1345__145___15____5
1345__1345__145___15____1
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1345__1345__145___14____1
1345__1345__135___35_____
1345__1345__135___15_____
1345__1345__135___13_____
1345__1345__135___35____5
1345__1345__135___35____3
1345__1345__135___15____5
1345__1345__135___15____1
1345__1345__135___13____3
1345__1345__135___13____1
1345__1345__134___34_____
1345__1345__134___14_____
1345__1345__134___13_____
1345__1345__134___34____4
1345__1345__134___34____3
1345__1345__134___14____4
1345__1345__134___14____1
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1345__1345__134___13____1
1245__245________________
1245__145________________
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1245__1245_______________
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1245__245___245___45_____
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1245__145___45____4______
...
1235__1235__235___25_____
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1235__1235__235___35____5
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1235__1235__135___35_____
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1235__1235__125___25_____
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1235__1235__123___23_____
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1235__1235__123___23____3
1235__1235__123___23____2
1235__1235__123___13____3
1235__1235__123___13____1
1235__1235__123___12____2
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========= ERROR SUMMARY: 0 errors
$
The answer given by Robert Crovella is correct at the 5th point, the mistake was in the using of init in every recursive call, but I want to clarify something that can be useful for other beginners with CUDA.
I used this variable because when I tried to launch a child kernel passing a local variable I always got the exception: Error: a pointer to local memory cannot be passed to a launch as an argument.
As I´m C# expert developer I´m not used to using pointers (Ref does the low-level-work for that) so I thought there was no way to do it in CUDA/c programming.
As Robert shows in its code it is possible copying the pointer with memalloc for using it as a referable argument.
Here is a kernel simplified as an example of deep recursion.
__device__ char init[6] = { "12345" };
__global__ void Recursive(int depth, const char* route) {
// up to depth 6
if (depth == 5) return;
//declaration for a referable argument (point 6)
char* newroute = (char*)malloc(6);
memcpy(newroute, route, 5);
int o = 0;
int newlen = 0;
for (int i = 0; i < (6 - depth); ++i)
{
if (i != threadIdx.x)
{
newroute[i - o] = route[i];
newlen++;
}
else
{
o = 1;
}
}
printf("%s\n", newroute);
Recursive <<<1, newlen>>>(depth + 1, newroute);
}
__global__ void RecursiveCount() {
Recursive <<<1, 5>>>(0, init);
}
I don't add the main call because I´m using ManagedCUDA for C# but as Robert says it can be figured-out how the call RecursiveCount is.
About ending arrays of char with /0 ... sorry but I don't know exactly what is the benefit; this code works fine without them.

Lock between N Processes in Promela

I am trying to model one of my project in promela for model checking. In that, i have N no of nodes in network. So, for each node I am making a process. Something like this:
init {
byte proc;
atomic {
proc = 0;
do
:: proc < N ->
run node (q[proc],proc);
proc++
:: proc >= N ->
break
od
}
}
So, basically, here each 'node' is process that will simulate each node in my network. Now, Node Process has 3 threads which run parallelly in my original implementation and within these three threads i have lock at some part so that three threads don't access Critical Section at the same time. So, for this in promela, i have done something like this:
proctype node (chan inp;byte ppid)
{
run recv_A()
run send_B()
run do_C()
}
So here recv_A, send_B and do_C are the three threads running parallelly at each node in the network. Now, the problem is, if i put lock in recv_A, send_B, do_C using atomic then it will put lock lock over all 3*N processes whereas i want a lock such that the lock is applied over groups of three. That is, if process1's(main node process from which recv_A is made to run) recv_A is in its CS then only process1's send_B and do_C should be prohibited to enter into CS and not process2's recv_A, send_B, do_C. Is there a way to do this?
Your have several options, and all revolve around implementing some kind of mutual exclusion algorithm among N processes:
Peterson Algorithm
Eisenberg & McGuire Algorithm
Lamport's bakery Algorithm
Szymański's Algorithm
...
An implementation of the Black & White Bakery Algorithm is available here. Note, however, that these algorithms -maybe with the exception of Peterson's one- tend to be complicated and might make the verification of your system impractical.
A somewhat simple approach is to resort on the Test & Set Algorithm which, however, still uses atomic in the trying section. Here is an example implementation taken from here.
bool lock = false;
int counter = 0;
active [3] proctype mutex()
{
bool tmp = false;
trying:
do
:: atomic {
tmp = lock;
lock = true;
} ->
if
:: tmp;
:: else -> break;
fi;
od;
critical:
printf("Process %d entered critical section.\n", _pid);
counter++;
assert(counter == 1);
counter--;
exit:
lock = false;
printf("Process %d exited critical section.\n", _pid);
goto trying;
}
#define c0 (mutex[0]#critical)
#define c1 (mutex[1]#critical)
#define c2 (mutex[2]#critical)
#define t0 (mutex[0]#trying)
#define t1 (mutex[1]#trying)
#define t2 (mutex[2]#trying)
#define l0 (_last == 0)
#define l1 (_last == 1)
#define l2 (_last == 2)
#define f0 ([] <> l0)
#define f1 ([] <> l1)
#define f2 ([] <> l2)
ltl p1 { [] !(c0 && c1) && !(c0 && c2) && !(c1 && c2)}
ltl p2 { []((t0 || t1 || t2) -> <> (c0 || c1 || c2)) }
ltl p3 {
(f0 -> [](t0 -> <> c0))
&&
(f1 -> [](t1 -> <> c1))
&&
(f2 -> [](t2 -> <> c2))
};
In your code, you should use a different lock variable for every group of 3 related threads. The lock contention would still happen at a global level, but some process working inside the critical section would not cause other processes to wait other than those who belong to the same thread group.
Another idea is that to exploit channels to achieve mutual exclusion: have each group of threads share a common asynchronous channel which initially contains one token message. Whenever one of these threads wants to access the critical section, it reads from the channel. If the token is not inside the channel, it waits until it becomes available. Otherwise, it can go forward in the critical section and when it finishes it puts the token back inside the shared channel.
proctype node (chan inp; byte ppid)
{
chan lock = [1] of { bool };
lock!true;
run recv_A(lock);
run send_B(lock);
run do_C(lock);
};
proctype recv_A(chan lock)
{
bool token;
do
:: true ->
// non-critical section code
// ...
// acquire lock
lock?token ->
// critical section
// ...
// release lock
lock!token
// non-critical section code
// ...
od;
};
...
This approach might be the simplest to start with, so I would pick this one first. Note however that I have no idea on how that affects performance during verification time, and this might very well depend on how channels are internally handled by Spin. A complete code example of this solution can be found here in the file channel_mutex.pml.
To conclude, note that you might want to add mutual exclusion, progress and lockout-freedom LTL properties to your model to ensure that it behaves correctly. An example of the definition of these properties is available here and a code example is available here.

Obj-C Method calls super slow, lots more CPU usage?

I'm doing pixel processing and when I call an empty Objective-C method, it uses 25% more CPU.
Furthermore another strange occurrence is if I have another Obj-C function call in that method that never gets called, it increases the CPU usage by an extra 10%.
Here's the code I'm calling:
- (void)addLeftCorner:(struct Position)p top:(BOOL)top {
if (top) {
[blackBorderLock lock];
[topLeftAllyMinionCorners addObject:[NSValue valueWithBytes:&p objCType:#encode(struct Position)]];
[blackBorderLock unlock];
} else {
[blackBorderLock lock];
[bottomLeftAllyMinionCorners addObject:[NSValue valueWithBytes:&p objCType:#encode(struct Position)]];
[blackBorderLock unlock];
}
}
- (void) processPixel:(uint8_t *)pixel x:(int)x y:(int)y{
//Assume multithreaded
if (pixel[0] == 0 && pixel[1] == 0 && pixel[2] == 0) {
//Check if top left border
if (x < imageData.imageWidth-1) {
if (y < imageData.imageHeight-1) { //Check for top left bar
//Check bottom right pixel
uint8_t *bottomRightPixel = pixel + (imageData.imageWidth + 1)*4;
if (bottomRightPixel[2] == 81 && bottomRightPixel[1] == 162 && bottomRightPixel[0] == 230) {
uint8_t *rightPixel = pixel + (1)*4;
if (rightPixel[0] == 0 && rightPixel[1] == 0 && rightPixel[2] == 0) {
uint8_t *bottomPixel = pixel + (imageData.imageWidth)*4;
if (bottomPixel[0] == 0 && bottomPixel[1] == 0 && bottomPixel[2] == 0) {
struct Position p;p.x=x;p.y=y;
[self addLeftCorner:p top:true];
}
}
}
}
if (y > 0) { //Check for bottom left bar
//Check top right pixel
uint8_t *topRightPixel = pixel + (-imageData.imageWidth + 1)*4;
if (topRightPixel[2] == 40 && topRightPixel[1] == 80 && topRightPixel[0] == 114) {
uint8_t *rightPixel = pixel + (1)*4;
if (rightPixel[0] == 0 && rightPixel[1] == 0 && rightPixel[2] == 0) {
uint8_t *topPixel = pixel - (imageData.imageWidth)*4;
if (topPixel[0] == 0 && topPixel[1] == 0 && topPixel[2] == 0) {
struct Position p;p.x=x;p.y=y;
[self addLeftCorner:p top:false];
}
}
}
}
}
}
}
In running this, the addLeftCorner never gets called yet if I comment it out, I get an extra 10% CPU usage. Also just calling the method processPixel takes 25% CPU usage alone.
Why is this? Is there a way to optimize it? I'd like to get that 35% CPU back.
TL;DR - You will want to investigate the use of NSObject -methodForSelector: as a means of avoiding Objective-C runtime overhead. Use this judiciously.
-
There's some terminology that comes from Smalltalk that is useful in keeping a mental model of what's really going on. We generally refer to invoking a method rather than calling a function in recognition that a dynamic language like Objective-C resolves function addresses at runtime, every time, in response to the kind of object that is the receiver of the message.
This dynamic dispatch is at the heart of the polymorphism of dynamic languages. And while the Objective-C runtime goes to almost superhuman lengths to make method invocation as efficient as possible, it will never ever be as efficient as a direct function call.
Most of the time, method invocation inefficiencies don't matter. The usually small loss of efficiency is swamped by human interaction with the application. But for computational kernels like image processing, the inefficiencies will become apparent.
By using NSObject -methodForSelector:, you can resolve the method into a function address once, and after that skip the runtime lookup. Study the documentation carefully. Make sure you understand what a SEL is and what an IMP is. Calling a method as a function requires two extra arguments, self and _cmd. Make sure you understand what they are and how they're used.
Most of all, make sure that profiling absolutely proves that bypassing the runtime like this is necessary. Based on your description of the problem, I'm not completely convinced you're seeing exactly what the issue is. But you're the one who knows your software best.
You'll be preventing the possibility of polymorphism of the objects you're using this method/function with, so it kind of sets this aspect of your design in concrete, without the usual flexibility of a dynamic language.

Shorthand for all bools YES or all bools NO?

Often in my code I need to check whether the state of x amount of bools are all true OR all bools are false. So I do:
BOOL first, second, third;
if((first && second && third) || (!first && !second && !third))
//do something
Being a lazy programmer, I want to know if there is some mathematical shorthand for this kind of query, instead of having to type out this whole thing every time?
The shorthand for all bools the same is testing for (pairwise) equality:
(first==second && second==third)
Of course you can expand this to any number of booleans, having N-1 equality checks joined with the and operator.
If this is something you frequently require then you're better off using an integer and reading bits individually.
For instance, instead of:
BOOL x; // not this
BOOL y; // not this
BOOL z; // not this
...and instead of bit fields (because their layout is implementation-defined):
unsigned int x : 1; // not this
unsigned int y : 1; // not this
unsigned int z : 1; // not this
...use a single field such as:
unsigned int flags; // do this
...and assign every value to a bit; for example:
enum { // do this
FLAG_X = (1 << 0),
FLAG_Y = (1 << 1),
FLAG_Z = (1 << 2),
ALL_FLAGS = 0x07 // "all bits are on"
};
Then, to test "all false" you simply say "if (!flags)" and to test "all true" you simply say "if (flags == ALL_FLAGS)" where ALL_FLAGS is a number that sets all valid bits to 1. Other bitwise operators can be used to set or test individual bits as needed.
Note that this technique has an upper limit of 32 Boolean values before you have to do more (e.g. create an additional integer field to store more bits).
Check if the sum is 0 or equal to the number of bools:
((first + second + third) % 3 == 0)
This works for any number of arguments.
(But don't take this answer serious and do it for real.)
When speaking about predicates, you can usually simplify the logic by using two variables for the quantification operations - universal quantification (for all) and existential quantification (there exists).
BOOL allValues = (value1 && value2 && value3);
BOOL anyValue = (value1 || value2 || value3);
if (allValues || !anyValue) {
... do something
}
This would also work if you have a lot of boolean values in an array - you could create a for cycle evaluating the two variables.

Objective C debugging not taking the proper step over route

I am new to Objective C.In detail I am reading about objective c from past three days. The below mentioned method is to generate prime numbers till a particular mentioned number as per the Seive of Erastosthenes algorithm.I am trying to debug the program but when ever the code comes to the line
"if(product > size )"
the next step will immediately take it to the
"for(j=2 ; j<= size ; j++ )"
I dont know what is going wrong with the debug.It goes into the break when the product is greater than the size.But when the condition is false (product > size) why doesn't it go to the next if condition that is
if(array[product-1] != 1)
Do I need to recompile the code.I am using xcode to debug the code on mac os X 10.x
#interface SeiveofErastosthenes : NSObject
{
int* array;
int size;
}
-(SeiveofErastosthenes*) initMe: (int) ssize;
-(void) calculatePrimeNumbers;
-(void) print;
#end
-(void) calculatePrimeNumbers
{
int product=0;
int i=0;
int j;
memset(array,0,size);
array[0]=0;
array[1]=2;
for(i = 1 ; i < size ; i++)
{
if(array[i] == 1)
continue;
array[i] = i+1;
for(j = 2; j <= size ; j++ )
{
product = (i+1) * j;
if(product > size)
{
break;
}
if(array[product-1] != 1)
{
array[product] == 1;
}
}
}
}
Make sure 'Load symbols lazily' is unchecked in Xcode preferences -> debugging. It can sometimes wreak havoc.
Xcode projects are set up with -Os optimization (optimize for speed and space) by default, for both Debug and Release builds, bizarrely. This kind of optimization will make debugging difficult, as code may be reordered for performance. Check your project and target settings for the "Debug" configuration, and make sure Optimization Level is set to "None."
Ok guys I figured out the problem
Objective C debugger sucks
In my program
if(array[product-1] != 1)
{
array[product] == 1;
}
It doesn't execute a statement if it is not necessary according to it
"array[product] == 1;" this is wrong according to the algorithm but it is still a valid code
This is a valid statement according to c and it should execute it and the value returned is a boolean true or false.Objective C just ignores it and goes to the next loop.It is so intelligent that it even doesn't check the condition if( array[product] !=1 )