Having trouble with "simple math" - cobol

I have an assignment where ?I need to take a gross pay that is paid in cash and display how many 100s,50s,20s,10s,5s,1s the employee is paid. I'm sure its just my math that is not working but here is my code
COMPUTE W02-PAY-100S = W02-GROSS-PAY / 100
COMPUTE PAY = W02-GROSS-PAY - (W02-PAY-100S * 100)
COMPUTE W02-PAY-50S = PAY / 50
COMPUTE PAY = PAY - (W02-PAY-50S * 50)
COMPUTE W02-PAY-20S = PAY / 20
COMPUTE PAY = PAY - (W02-PAY-20S * 20)
COMPUTE W02-PAY-10S = PAY / 10
COMPUTE PAY = PAY - (W02-PAY-10S * 10)
COMPUTE W02-PAY-5S = PAY / 5
COMPUTE PAY = PAY - (W02-PAY-5S * 5)
COMPUTE W02-PAY-1S = PAY / 1
.
What ends up happening is the first 100s are displayed as 3, then everything else is 0's.

I'd suspect PAY is defined as PIC 9 rather than PIC 9(7) (or whatever), or that there is some problem with the definitions of the other fields you are using (like no integer parts).
However, you're going about it the "wrong" way for COBOL, by making use of the fact that COMPUTE is like an assignment statement in other languages.
Instead COBOL offers more nuance with verbs for maths. Have a look at DIVIDE with GIVING and REMAINDER.
DIVIDE W02-GROSS-PAY BY 100
GIVING NOTES-100
REMAINDER W-RUNNING-BALANCE-LESS-100S
DIVIDE W-RUNNING-BALANCE-LESS-100S
BY 50
GIVING NOTES-50
REMAINDER W-RUNNING-BALANCE-LESS-50S
DIVIDE W-RUNNING-BALANCE-LESS-50S
BY 20
GIVING NOTES-20
REMAINDER W-RUNNING-BALANCE-LESS-20S
DIVIDE W-RUNNING-BALANCE-LESS-20S
BY 10
GIVING NOTES-10
REMAINDER W-RUNNING-BALANCE-LESS-10S
DIVIDE W-RUNNING-BALANCE-LESS-10S
BY 05
GIVING NOTES-05
REMAINDER COINS-01
If you get your COMPUTEs working, you don't need the last one (divide by one gives you as the answer the original number). With the COMPUTEs you are doing a lot more work than necessary in COBOL.
Now that you know about DIVIDE, also look at MULTIPLY, ADD and SUBTRACT.
To complete the picture, look at the intrinsic functions like INTEGER and MOD. The MOD and more, you have above. The INTEGER is unnecessary because a simple MOVE to a field without a fractional part will get there. A MOVE to a field without an integer part will get you the fraction.
Don't, necessarily, look for something which allows you to do it as you would in another language. You may "pass" your COBOL module that way, but you won't really learn COBOL.

Related

why mql4 show error 130 when we use Stoploss in OrderSend function

I am trying to create a EA in mql4, but in OrderSend function, when i use some value instead of zero it show ordersend error 130. Please help to solve this problem
Code line is
int order = OrderSend("XAUUSD",OP_SELL,0.01,Bid,3,Bid+20*0.01,tp,"",0,0,Red);
error number 130 means Invalid stops.
so that means there is a problem with the stops you set with the ordersend function.
I suggest you set it like that:
int order = OrderSend("XAUUSD",OP_SELL,0.01,Bid,3,Bid+20*Point,tp,"",0,0,Red);
so you could use Point instead of hard coding it.
and to check what is the error number means. I think you could refer to: https://book.mql4.com/appendix/errors
You should know that there exists a minimum Stop Loss Size (mSLS) given in pips. "mSLS" changes with the currency and broker. So, you need to put in the OnInit() procedure of your EA a variable to get it:
int mSLS = MarketInfo(symbol,MODE_STOPLEVEL);
The distance (in pips) from your Order Open Price (OOP) and the Stop-Loss Price (SLP) can not be smaller than mSLS value.
I will try to explain a general algorithm I use for opening orders in my EAs, and then apply the constrain on Stop-Loss level (at step 3):
Step 1. I introduce a flag (f) for the type of operation I will open, being:
f = 1 for Buy, and
f = -1 for Sell
You know that there are mql4 constants OP_SELL=1 and OP_BUY=0 (https://docs.mql4.com/constants/tradingconstants/orderproperties).
Once I have defined f, I set my operation type variable to
int OP_TYPE = int(0.5((1+f)*OP_BUY+(1-f)*OP_SELL));
that takes value OP_TYPE=OP_BUY when f=1, while OP_TYPE=OP_SELL when f=-1.
NOTE: Regarding the color of the orders I put them in an array
color COL[2]= {clrBlue,clrRed};
then, having OP_TYPE, I set
color COLOR=COL[OP_TYPE];
Step 2. Similarly, I set the Order Open Price as
double OOP = int(0.5*((1+f)*Ask+(1-f)*Bid));
which takes value OOP=Ask when f=1, while OOP=Bid when f=-1.
Step 3. Then, given my desired Stop Loss in pips (an external POSITIVE parameter of my EA, I named sl) I make sure that sl > SLS. In other words, I check
if (sl <= mSLS) // I set my sl as the minimum allowed
{
sl = 1 + mSLS;
}
Step 4. Then I calculate the Stop-Loss Price of the order as
double SLP = OOP - f * sl * Point;
Step 5. Given my desired Take Profit in pips (an external POSITIVE parameter of my EA, I named tp) I calculate the Take-Profit Price (TPP) of the order as
double TPP = OOP + f * tp * Point;
OBSERVATION: I can not affirm, but, according to mql4 documentation, the minimum distance rule between the stop-loss limit prices and the open price also applies to the take profit limit price. In this case, a "tp" check-up needs to be done, similar to that of the sl check-up, above. that is, before calculating TPP it must be executed the control lines below
if (tp <= mSLS) // I set my tp as the minimum allowed
{
tp = 1 + mSLS;
}
Step 5. I call for order opening with a given lot size (ls) and slippage (slip) on the operating currency pair (from where I get the Ask and Bid values)
float ls = 0.01;
int slip = 3; //(pips)
int order = OrderSend(Symbol(),OP_TYPE,ls,OOP,slip,SLP,TPP,"",0,0,COLOR);
Note that with these few lines it is easy to build a function that opens orders of any type under your command, in any currency pair you are operating, without receiving error message 130, passing to the function only 3 parameters: f, sl and tp.
It is worth including in the test phase of your EA a warning when the sl is corrected for being less than the allowed, this will allow you to increase its value so that it does not violate the stop-loss minimum value rule, while you have more control about the risk of its operations. Remember that the "sl" parameter defines how much you will lose if the order fails because the asset price ended up varying too much in the opposite direction to what was expected.
I hope I could help!
Whilst the other two answers are not necessarily wrong (and I will not go over the ground they have already covered), for completeness of answers, they fail to mention that for some brokers (specifically ECN brokers) you must open your order first, without setting a stop loss or take profit. Once the order is opened, use OrderModify() to set you stop loss and/or take profit.

Finding the last digit of certain number raised to any power

I'm trying to find the last digit of the result of any number raised to any power, using binomial theorem, not modulus or something. Please explain me why last digit of a number's unit number raised to a power is same as the original number raised to the same power using binomial theorem.
Ex. XV^Y = V^Y
Also, I found out that each integer each its cyclicity and I understand that. But I'm confused since:
17^8 = 7^8 = 7^4 since 8 is a multiple of 4.
But why not 7^2 = 7^8 as well? 8 is also a multiple of 2.
It's because of the last digit that you are raising to a power several times and not about the power.
7^1=...7 <=
7^2=...9
7^3=...3
7^4=...1
7^5=...7 <=
7^6=...9
7^7=...3
7^8=...1
7^9=...7 <=
Say you have a number x=t*10+u, where t is the "tens" and u is the units, so e.g. 1234=123*10+4. The binomial theorem states: x^n = sum{k=0,...,n} (t*10)^(n-k)*u^k. As long as (n-k)>0, the summand will be a multiple of 10. You should be able to figure it out from there.

Unexpected result subtracting decimals in ruby [duplicate]

Can somebody explain why multiplying by 100 here gives a less accurate result but multiplying by 10 twice gives a more accurate result?
± % sc
Loading development environment (Rails 3.0.1)
>> 129.95 * 100
12994.999999999998
>> 129.95*10
1299.5
>> 129.95*10*10
12995.0
If you do the calculations by hand in double-precision binary, which is limited to 53 significant bits, you'll see what's going on:
129.95 = 1.0000001111100110011001100110011001100110011001100110 x 2^7
129.95*100 = 1.1001011000010111111111111111111111111111111111111111011 x 2^13
This is 56 significant bits long, so rounded to 53 bits it's
1.1001011000010111111111111111111111111111111111111111 x 2^13, which equals
12994.999999999998181010596454143524169921875
Now 129.95*10 = 1.01000100110111111111111111111111111111111111111111111 x 2^10
This is 54 significant bits long, so rounded to 53 bits it's 1.01000100111 x 2^10 = 1299.5
Now 1299.5 * 10 = 1.1001011000011 x 2^13 = 12995.
First off: you are looking at the string representation of the result, not the actual result itself. If you really want to compare the two results, you should format both results explicitly, using String#% and you should format both results the same way.
Secondly, that's just how binary floating point numbers work. They are inexact, they are finite and they are binary. All three mean that you get rounding errors, which generally look totally random, unless you happen to have memorized the entirety of IEEE754 and can recite it backwards in your sleep.
There is no floating point number exactly equal to 129.95. So your language uses a value which is close to it instead. When that value is multiplied by 100, the result is close to 12995, but it just so happens to not equal 12995. (It is also not exactly equal to 100 times the original value it used in place of 129.95.) So your interpreter prints a decimal number which is close to (but not equal to) the value of 129.95 * 100 and which shows you that it is not exactly 12995. It also just so happens that the result 129.95 * 10 is exactly equal to 1299.5. This is mostly luck.
Bottom line is, never expect equality out of any floating point arithmetic, only "closeness".

Moving Average across Variables in Stata

I have a panel data set for which I would like to calculate moving averages across years.
Each year is a variable for which there is an observation for each state, and I would like to create a new variable for the average of every three year period.
For example:
P1947=rmean(v1943 v1944 v1945), P1947=rmean(v1944 v1945 v1946)
I figured I should use a foreach loop with the egen command, but I'm not sure about how I should refer to the different variables within the loop.
I'd appreciate any guidance!
This data structure is quite unfit for purpose. Assuming an identifier id you need to reshape, e.g.
reshape long v, i(id) j(year)
tsset id year
Then a moving average is easy. Use tssmooth or just generate, e.g.
gen mave = (L.v + v + F.v)/3
or (better)
gen mave = 0.25 * L.v + 0.5 * v + 0.25 * F.v
More on why your data structure is quite unfit: Not only would calculation of a moving average need a loop (not necessarily involving egen), but you would be creating several new extra variables. Using those in any subsequent analysis would be somewhere between awkward and impossible.
EDIT I'll give a sample loop, while not moving from my stance that it is poor technique. I don't see a reason behind your naming convention whereby P1947 is a mean for 1943-1945; I assume that's just a typo. Let's suppose that we have data for 1913-2012. For means of 3 years, we lose one year at each end.
forval j = 1914/2011 {
local i = `j' - 1
local k = `j' + 1
gen P`j' = (v`i' + v`j' + v`k') / 3
}
That could be written more concisely, at the expense of a flurry of macros within macros. Using unequal weights is easy, as above. The only reason to use egen is that it doesn't give up if there are missings, which the above will do.
FURTHER EDIT
As a matter of completeness, note that it is easy to handle missings without resorting to egen.
The numerator
(v`i' + v`j' + v`k')
generalises to
(cond(missing(v`i'), 0, v`i') + cond(missing(v`j'), 0, v`j') + cond(missing(v`k'), 0, v`k')
and the denominator
3
generalises to
!missing(v`i') + !missing(v`j') + !missing(v`k')
If all values are missing, this reduces to 0/0, or missing. Otherwise, if any value is missing, we add 0 to the numerator and 0 to the denominator, which is the same as ignoring it. Naturally the code is tolerable as above for averages of 3 years, but either for that case or for averaging over more years, we would replace the lines above by a loop, which is what egen does.
There is a user written program that can do that very easily for you. It is called mvsumm and can be found through findit mvsumm
xtset id time
mvsumm observations, stat(mean) win(t) gen(new_variable) end

Actionscript rounding bug when dividing then multiplying

I am doing the following in actionscript in Coldfusion Flash Forms:
90 / 3.7
Gives me:
24.3243243243243
Whereas the calculator gives me:
24.32432432432432
Note the extra 2 at the end.
So my problem occurs when I am trying to get the original value of 90 by taking the 24.3243243243243 * 3.7 and then I get 89.9999999999 which is wrong.
Why is Actionscript truncating the value and how do I avoid this so I get the proper amount that the calculator gets?
Thanks so much.
Round your number using a routine like this
var toFixed:Function = function(number, factor) {
return (Math.round(number * factor)/factor);
}
Where the factor is 10, 100, 1000 etc, a simple way to think about it is the number of 0's in the factor is the number of decimal places
so
toFixed(1.23341230123, 100) = 1.23
Good explanation of numeric in ActionScript can be found at http://docstore.mik.ua/orelly/web2/action/ch04_03.htm. See section 4.3.2.1. Floating-point precision
A relavant quote:
"In order to accommodate for the minute discrepancy, you should round your numbers manually if the difference will adversely affect the behavior of your code. "

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