Time complexity for iteration over a stack - stack

I have an array of objects, and I have two stacks i go over the array and for every elemment i push the previous objects (pop from stack 1 and push to stack 2) and then resotre them (pop from stack2 and push to stack 1).
I wonder what time complexting it is - o(n) or o(n^2)
because every stack operation (push pop) is o(1).
for (int i = 0; i < buildingsHeight.Length; i++)
{
while (!BuildingStack.IsEmpty() && !didWeFoundHigerBuilding)
{
BuildingStackNode buildingInLine = BuildingStack.Pop();
helperStack.Push(BuildingStack.Pop());
}
// restore data
while (!helperStack.IsEmpty())
{
BuildingStack.Push(helperStack.Pop());
}
}

First of all, I suppose you mean "O" and not little "o" (which has a different meaning)? Secondly, saying something like O(n) doesn't make any sense without defining "n". So what is n?
The code you showed is a bit strange in that you are looping over the array buildingsHeight but you are not doing anything with the array within the loop. Anyway, the time complexity of this piece of code depends on two parameters: the length of buildingsHeight a and the number b of items in BuildingStack (assuming that helperStack is initially empty).
The while loops each take O(b), and the for loop iterates a times, so the overall complexity is O(ab).

Related

Why is this basic MQL4-code taking so much time to load up on my MT4?

I am learning MQL4 language and am using this Code to plot a Simple moving Average, the Code works fine, but when I load it up on my MT4 it takes a lot of time, am I missing something ?
int start() // Special function start()
{
int i, // Bar index
n, // Formal parameter
Counted_bars; // Number of counted bars
// Sum of Low values for period
// --------------------------------------------------------------------
Counted_bars=IndicatorCounted(); // Number of counted bars
i=Bars-Counted_bars-1; // Index of the first uncounted
while(i>=0) // Loop for uncounted bars
{
Buf_0[i]=(iMA(Symbol(),PERIOD_M5,200,i,MODE_EMA,PRICE_HIGH,0);
i--; // Calculating index of the next bar
}
// --------------------------------------------------------------------
return; // Exit the special funct. start()
}
// --------------------------------------------------------------------
Q : am I missing something?
No, this is a standard feature to process all the Bars back, towards the earliest parts of the history.
If your intentions require a minimum setup-time, it is possible to "shorten" the re-painted part of the history to just, say, last week, not going all the way back all the Bars-number of Bars a few years back, as all that data have been stored in the OHLCV-history database.
That "shortened"-part of the history will this way become as long as your needs can handle and not a single bar "longer".
Hooray, The Problem was solved.
BONUS PART :
Given your code instructs to work with EMA, not SMA, there is one more vector of attack onto the shortest possible time.
For EMA, any next Bar value will become a product of alfa * High[next] added to a previously known as EMA[next+1]
Where a constant alfa = 2. / ( N_period + 1 ) is known and constant across the whole run of the history processed.
This approach helped me gain about ~20-30 [us] FASTER processing for a 20-cell Price-vector, when using this algorithmic shortcut on an array of float32-values compared to cell-by-cell processing. Be sure to benchmark the code for your use-case and may polish further tricks with using different call-signatures of iHigh() instead of accessing an array of High[]-s for any potential speedups, if in utmost need to shave-off any further [us] possible.

Initialising hist function in Julia for use in a loop

When I use a loop, to access the variables outside of the loop they need to be initialised before you enter the loop. For example:
Y = Array{Int}()
for i = 1:end
Y = i
end
Since I have initialised Y before entering the loop, I can access it later by typing
Y
If I had not initialised it before entering the loop, typing Y would not have returned anything.
I want to extend this functionality to the output of the 'hist' function. I don't know how to set up the empty hist output before the loop. The only work around I have found is below.
yHistData = [hist(DataSet[1],Bins)]
for j = 2:NumberOfLayers
yHistData = [yHistData;hist(DataSet[j],Bins)]
end
Now when I access this later on by simply typing
yHistData
I get the correct values returned to me.
How can I initialise this hist data before entering the loop without defining it using the first value of the list I'm iterating over?
This can be done with a loop like follows:
yHistData = []
for j = 1:NumberOfLayers
push!(yHistData, hist(DataSet[j], Bins))
end
push! modifies the array by adding the specified element to the end. This increases code speed because we do not need to create copies of the array all the time. This code is nice and simple, and runs faster than yours. The return type, however, is now Array{Any, 1}, which can be improved.
Here I have typed the array so that the performance when using this array in the future is better. Without typing the array, the performance is sometimes better and sometimes worse than your code, depending on NumberOfLayers.
yHistData = Tuple{FloatRange{Float64},Array{Int64,1}}[]
for j = 1:NumberOfLayers
push!(yHistData, hist(DataSet[j], Bins))
end
Assuming length(DataSet) == NumberOfLayers, we can use anonymous functions to simplify the code even further:
yHistData = map(data -> hist(data, Bins), DataSet)
This solution is short, easy to read, and very fast on Julia 0.5. However, this version is not yet released. On 0.4, the currently released version, the performance of this version will be slower.

Read of memory allocation returns spurious results if, following read, free() is called - why does this happen? (embedded)

Programming on a stm32f4 some strange behaviour is observed:
Data is allocated using realloc, which is called every second or so, as such; ptr = realloc(ptr, sizeof)
Values are read into the data - it has been confirmed that: A) The indexing of the array is correct and B) Immediately following each read of values into memory the array holds the correct values.
Upon reading the array the code fails to produce proper output (outputs 0s the vast majority of the time) if free(ptr) is called in any code following the read. When free(ptr) is not called the code functions properly. It seems that the sequential nature of C breaks down in this instance?
Immediately following each read of values into memory the array holds the correct values regardless of any 'free' calls. Realloc is used because this interrupt is called repeatedly. The 'random pointer' has been set to NULL when initialised, before the pointer is realloced. This is an embedded program on a stm32f4.
Being inexperienced with embedded c I can only speculate, but imagine the cause may be faulty optimisation?
Is this behaviour known? I am aware that it is best practice to avoid malloc ect but due to the large variances in amounts of data potentially being held in this application the flexibility is required.
The code mallocs using pointers contained within a global struct. The following code is the offending material:
structContainingMemoryPointer storedData;
numberOfInts = 0;
// ***********Getdata if interrupt conditions state to do so - contained within interrupt***********
interrupt {
if (SpecificInterrupt) {
numberOfInts++;
storedData.Arrayptr =
realloc(storedData.Arrayptr,
sizeof(int) * storedData.numberOfInts * 2);
// Store the value of actualTemp
storedData.Arrayptr[storedData.numberOfInts - 1] = actualTemp;
// Step through the temperature values array and send to USART
for (arrayStep = 0; arrayStep < storedData.numberOfTempAllocations;
arrayStep++) {
// Convert to string and send
sprintf(valueString, ":%d", storedData.temperature[arrayStep]);
USART_puts(USART2, valueString);
}
}
// ***********free memory*************
free(storedDataStruct.Arrayptr);
storedDataStruct.Arrayptr = NULL;
// End of program, no return from this point to previous points.

Can't modify loop-variable in lua [duplicate]

This question already has answers here:
Lua for loop reduce i? Weird behavior [duplicate]
(3 answers)
Closed 7 years ago.
im trying this in lua:
for i = 1, 10,1 do
print(i)
i = i+2
end
I would expect the following output:
1,4,7,10
However, it seems like i is getting not affected, so it gives me:
1,2,3,4,5,6,7,8,9,10
Can someone tell my a bit about the background concept and what is the right way to modify the counter variable?
As Colonel Thirty Two said, there is no way to modify a loop variable in Lua. Or rather more to the point, the loop counter in Lua is hidden from you. The variable i in your case is merely a copy of the counter's current value. So changing it does nothing; it will be overwritten by the actual hidden counter every time the loop cycles.
When you write a for loop in Lua, it always means exactly what it says. This is good, since it makes it abundantly clear when you're doing looping over a fixed sequence (whether a count or a set of data) and when you're doing something more complicated.
for is for fixed loops; if you want dynamic looping, you must use a while loop. That way, the reader of the code is aware that looping is not fixed; that it's under your control.
When using a Numeric for loop, you can change the increment by the third value, in your example you set it to 1.
To see what I mean:
for i = 1,10,3 do
print(i)
end
However this isn't always a practical solution, because often times you'll only want to modify the loop variable under specific conditions. When you wish to do this, you can use a while loop (or if you want your code to run at least once, a repeat loop):
local i = 1
while i < 10 do
print(i)
i = i + 1
end
Using a while loop you have full control over the condition, and any variables (be they global or upvalues).
All answers / comments so far only suggested while loops; here's two more ways of working around this problem:
If you always have the same step size, which just isn't 1, you can explicitly give the step size as in for i =start,end,stepdo … end, e.g. for i = 1, 10, 3 do … or for i = 10, 1, -1 do …. If you need varying step sizes, that won't work.
A "problem" with while-loops is that you always have to manually increment your counter and forgetting this in a sub-branch easily leads to infinite loops. I've seen the following pattern a few times:
local diff = 0
for i = 1, n do
i = i+diff
if i > n then break end
-- code here
-- and to change i for the next round, do something like
if some_condition then
diff = diff + 1 -- skip 1 forward
end
end
This way, you cannot forget incrementing i, and you still have the adjusted i available in your code. The deltas are also kept in a separate variable, so scanning this for bugs is relatively easy. (i autoincrements so must work, any assignment to i below the loop body's first line is an error, check whether you are/n't assigning diff, check branches, …)

How to pop Nth item in the stack [Befunge-93]

If you have the befunge program 321&,how would you access the first item (3) without throwing out the second two items?
The instruction \ allows one to switch the first two items, but that doesn't get me any closer to the last one...
The current method I'm using is to use the p command to write the entire stack to the program memory in order to get to the last item. For example,
32110p20p.20g10g#
However, I feel that this isn't as elegant as it could be... There's no technique to pop the first item on the stack as N, pop the Nth item from the stack and push it to the top?
(No is a perfectly acceptable answer)
Not really.
Your code could be shortened to
32110p\.10g#
But if you wanted a more general result, something like the following might work. Below, I am using Befunge as it was meant to be used (at least in my opinion): as a functional programming language with each function getting its own set of rows and columns. Pointers are created using directionals and storing 1's and 0's determine where the function was called. One thing I would point out though is that the stack is not meant for storage in nearly any language. Just write the stack to storage. Note that 987 overflows off a stack of length 10.
v >>>>>>>>>>>12p:10p11pv
1 0 v<<<<<<<<<<<<<<<<<<
v >210gp10g1-10p^
>10g|
>14p010pv
v<<<<<<<<<<<<<<<<<<<<<<<<
v >210g1+g10g1+10p^
>10g11g-|
v g21g41<
v _ v
>98765432102^>. 2^>.#
The above code writes up to and including the n-1th item on the stack to 'memory', writes the nth item somewhere else, reads the 'memory', then pushes the nth item onto the stack.
The function is called twice by the bottom line of this program.
I propose a simpler solution:
013p 321 01g #
☺
It "stores" 3 in the program at position ☺ (0, 1) (013p), removing it from the stack, and then puts things on the stack, and gets back ☺ on top of the stack (01g). The # ensures that the programs finishes.

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