Detect contiguous numbers - MATLAB - matlab

I coded a program that create some bunch of binary numbers like this:
out = [0,1,1,0,1,1,1,0,0,0,1,0];
I want check existence of nine 1 digit together in above out, for example when we have this in our output:
out_2 = [0,0,0,0,1,1,1,1,1,1,1,1,1];
or
out_3 = [0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0];
condition variable should be set to 1. We don't know exact position of start of ones in outvariable. It is random. I only want find existence of duplicate ones values in above variable (one occurrence or more).
PS.
We are searching for a general answer to find other duplicate numbers (not only 1 here and not only for binary data. this is just an example)

You can use convolution to solve such r-contiguous detection cases.
Case #1 : To find contiguous 1s in a binary array -
check = any(conv(double(input_arr),ones(r,1))>=r)
Sample run -
input_arr =
0 0 0 0 1 1 1 1 1 1 1 1 1
r =
9
check =
1
Case #2 : For detecting any number as contiguous, you could modify it a bit, like so -
check = any(conv(double(diff(input_arr)==0),ones(1,r-1))>=r-1)
Sample run -
input_arr =
3 5 2 4 4 4 5 5 2 2
r =
3
check =
1
To save Stackoverflow from further duplicates, also feel free to look into related problems -
Fast r-contiguous matching (based on location similarities).
r-contiguous matching, MATLAB.

Related

OpenRefine: Fill down with increasing counter

Is it possible in OpenRefine to fill down blank cells with a counter instead of copying the top non-blank value?
In this example image:
Or here the same example as typed text - image this as a column from top to bottom:
1
1
blank
1
blank
blank
blank
blank
blank
1
I would like to see the column filled as follows (again, imagine top to bottom):
1
1
2
1
2
3
4
5
6
1
Thanks, help is very much appreciated.
It's not really simple. You have to:
1 Replace the blanks with something else, such as an "x"
2 Create a unique record for the entire dataset
3 Use this Jython script:
import itertools
data = row['record']['cells']['YOUR COLUMN NAME']['value']
x = itertools.count(2)
liste = []
for i, el in enumerate(data):
if data[i] == "x":
liste.append(x.next())
else:
x = itertools.count(2)
liste.append(el)
return ",".join([str(x) for x in liste])
4 Use Blank down to clear duplicates
5 Split the first multivalued cell.
Here is a screencast of the operations described above.
If you know a little Python, you can also transform your file using pandas. I do not know what is the most elegant way to do it, but this script should work.
import itertools
import pandas as pd
x = itertools.count(2)
def set_x():
global x
x = itertools.count(2)
set_x()
def increase(value):
if not value:
return next(x)
else:
set_x()
return value
data = pd.read_csv("your_file.csv", na_values=['nan'], keep_default_na=False)
data['column 1'] = data['column 1'].apply(lambda row: increase(row))
print(data)
data.to_csv("final_file.csv")
Here are two simple solutions using GREL.
Use records
You could move the column to the beginning, telling OpenRefine to use the numbers as records. You might need to transform the column to text to really convince OpenRefine to use it as records.
Then either add a new column or transform the existing one with the following expression.
1 + row.index - row.record.fromRowIndex
Use record markers
In case you don't want to use records or don't have a static number, you can create a similar setup. Imagine you have an incomplete counter like in the following table and want to fill it.
Origin
Desired
1
1
2
1
1
2
2
3
1
1
To fill the missing cells first add a new column based on your orignal column using the following expression and name it record_row_index.
if(isNonBlank(value), row.index, "")
After that fill down the original column and the new column record_row_index.
Then create a new column based on the original filled column using the following expression.
value + row.index - cells["record_row_index"].value
Hint: the expression is expecting both columns to be of type number.
If one of them is of type text, you can either transform the column beforehand or use toNumber() in the expression.
The following table shows how these operations are working together.
Origin
Origin filled
row.index
record_row_index
Desired
1
1
0
0
1 + 0 - 0 = 1
1
1
0
1 + 1 - 0 = 2
1
1
2
2
1 + 2 - 2 = 1
2
2
3
3
2 + 3 - 3 = 2
2
4
3
2 + 4 - 3 = 3
1
1
5
5
1 + 5 - 5 = 1

Reshaping and merging simulations in Stata

I have a dataset, which consists of 1000 simulations. The output of each simulation is saved as a row of data. There are variables alpha, beta and simulationid.
Here's a sample dataset:
simulationid beta alpha
1 0.025840106 20.59671241
2 0.019850549 18.72183088
3 0.022440886 21.02298228
4 0.018124857 20.38965861
5 0.024134726 22.08678021
6 0.023619479 20.67689981
7 0.016907209 17.69609466
8 0.020036455 24.6443037
9 0.017203175 24.32682682
10 0.020273349 19.1513272
I want to estimate a new value - let's call it new - which depends on alpha and beta as well as different levels of two other variables which we'll call risk and price. Values of risk range from 0 to 100, price from 0 to 500 in steps of 5.
What I want to achieve is a dataset that consists of values representing the probability that (across the simulations) new is greater than 0 for combinations of risk and price.
I can achieve this using the code below. However, the reshape process takes more hours than I'd like. And it seems to me to be something that could be completed a lot quicker.
So, my question is either:
i) is there an efficient way to generate multiple datasets from a single row of data without multiple reshape, or
ii) am I going about this in totally the wrong way?
set maxvar 15000
/* Input sample data */
input simulationid beta alpha
1 0.025840106 20.59671241
2 0.019850549 18.72183088
3 0.022440886 21.02298228
4 0.018124857 20.38965861
5 0.024134726 22.08678021
6 0.023619479 20.67689981
7 0.016907209 17.69609466
8 0.020036455 24.6443037
9 0.017203175 24.32682682
10 0.020273349 19.1513272
end
forvalues risk = 0(1)100 {
forvalues price = 0(5)500 {
gen new_r`risk'_p`price' = `price' * (`risk'/200)* beta - alpha
gen probnew_r`risk'_p`price' = 0
replace probnew_r`risk'_p`price' = 1 if new_r`risk'_p`price' > 0
sum probnew_r`risk'_p`price', mean
gen mnew_r`risk'_p`price' = r(mean)
drop new_r`risk'_p`price' probnew_r`risk'_p`price'
}
}
drop if simulationid > 1
save simresults.dta, replace
forvalues risk = 0(1)100 {
clear
use simresults.dta
reshape long mnew_r`risk'_p, i(simulationid) j(price)
keep simulation price mnew_r`risk'_p
rename mnew_r`risk'_p risk`risk'
save risk`risk'.dta, replace
}
clear
use risk0.dta
forvalues risk = 1(1)100 {
merge m:m price using risk`risk'.dta, nogen
save merged.dta, replace
}
Here's a start on your problem.
So far as I can see, you don't need more than one dataset.
The various reshapes and merges just rearrange what was first generated and that can be done within one dataset.
The code here in the first instance is for just one pair of values of alpha and beta. To simulate 1000 such, you would need 1000 times more observations, i.e. about 10 million, which is not usually a problem and to loop over the alphas and betas. But the loop can be tacit. We'll get to that.
This code has been run and is legal. It's limited to one alpha, beta pair.
clear
input simulationid beta alpha
1 0.025840106 20.59671241
2 0.019850549 18.72183088
3 0.022440886 21.02298228
4 0.018124857 20.38965861
5 0.024134726 22.08678021
6 0.023619479 20.67689981
7 0.016907209 17.69609466
8 0.020036455 24.6443037
9 0.017203175 24.32682682
10 0.020273349 19.1513272
end
local N = 101 * 101
set obs `N'
egen risk = seq(), block(101)
replace risk = risk - 1
egen price = seq(), from(0) to(100)
replace price = 5 * price
gen result = (price * (risk/200)* beta[1] - alpha[1]) > 0
bysort price risk: gen mean = sum(result)
by price risk: replace mean = mean[_N]/_N
Assuming now that you first read in 1000 values, here is a sketch of how to get the whole thing. This code has not been tested. That is, your dataset starts with 1000 observations; you then enlarge it to 10 million or so, and get your results. The tricksy part is using an expression for the subscript to ensure that each block of results is for a distinct alpha, beta pair. That's not compulsory; you could do it in a loop, but then you would need to generate outside the loop and replace within it.
local N = 101 * 101 * 1000
set obs `N'
egen risk = seq(), block(101)
replace risk = risk - 1
egen price = seq(), from(0) to(100)
replace price = 5 * price
egen sim = seq(), block(10201)
gen result = (price * (risk/200)* beta[ceil(_n/10201)] - alpha[ceil(_n/10201)]) > 0
bysort sim price risk: gen mean = sum(result)
by sim price risk: replace mean = mean[_N]/_N
Other devices used: egen to set up in blocks; getting the mean without repeated calls to summarize; using a true-or-false expression directly.
NB: I haven't tried to understand what you are doing, but it seems to me that the price-risk-simulation conditions define single values, so calculating a mean looks redundant. But perhaps that is in the code because you wish to add further detail to the code once you have it working.
NB2: This seems a purely deterministic calculation. Not sure that you need this code at all.

Is there any way to reverse the order of bits in matlab

What I am trying is getting binary value of a number e.g
de2bi(234)
Which results me in having this answer :
0 1 0 1 0 1 1 1
now what I want is that is its reverse order without changing its values like this :
11101010
i have tried bitrevorder() function but i am not having my desired answer. any help and suggestions will be appreciated.
Example:
>>de2bi(234)
ans = 0 1 0 1 0 1 1 1
>> fliplr(ans)
ans =
1 1 1 0 1 0 1 0
Use the function fliplr. It can be used to reverse the order of array.
Try using the flag 'left-msb' (according to the documentation in http://www.mathworks.com/help/comm/ref/de2bi.html)
The commands below show how to convert a decimal integer to base three without specifying the number of columns in the output matrix. They also show how to place the most significant digit on the left instead of on the right.
t = de2bi(12,[],3) % Convert 12 to base 3.
tleft = de2bi(12,[],3,'left-msb') % Significant digit on left
The output is
t =
0 1 1
tleft =
1 1 0
You just need to use the 'left-msb' option in de2bi:
>>de2bi(234, 'left-msb')
ans =
1 1 1 0 1 0 1 0
You can use a more simple command called dec2bin which produces the desired result:
>> dec2bin(234)
ans =
11101010
Here is the docs: http://www.mathworks.com/help/matlab/ref/dec2bin.html?refresh=true
While this is an old question, I needed to do the same thing for a CRC checksum and feel I should share the results.
In my case I need to reverse 16bit numbers, so, I've tried three methods:
1) Using fliplr() to reverse as per the suggestions:
uint16(bin2dec(fliplr(dec2bin(data,16))))
To test out the speed I decided to try and checksum 12MB of data. Using the above code in my CRC, it took 2000 seconds to complete! Most of this time was performing the bit reversal.
2) I then devised a more optimal solution, though not a one line code it is optimised for speed:
reverse = uint16(0);
for i=1:16
reverse = bitor(bitshift(reverse,1), uint16(bitand(forward,1)));
forward = bitshift(forward,-1);
end
Using the same CRC code, but with this used instead of (1), it took a little over 500 seconds to complete, so already it makes the CRC calculations four times faster!
3) That is still too much time for my liking, so instead I moved everything to a mex function. This allows the use of code from the bit twiddling examples that are floating around for optimum performance. I moved the whole CRC code to the mex function and used the following two other functions to do the bit reversal.
unsigned char crcBitReverse8(unsigned char forward) {
return (unsigned char)(((forward * 0x0802LU & 0x22110LU) | (forward * 0x8020LU & 0x88440LU)) * 0x10101LU >> 16);
}
unsigned short crcBitReverse16(unsigned short forward) {
unsigned char inByte0 = (forward & 0xFF);
unsigned char inByte1 = (forward & 0xFF00) >> 8;
return (unsigned short )((crcBitReverse8(inByte0) << 8) | (crcBitReverse8(inByte1)));
}
Just for comparison, it took just 0.14 seconds to compute the CRC for the same 12MB data chunk (and there is no mistake in the calculation, the CRC checksums for all three methods match what is expected).
So basically, if you have to do this a lot of times (e.g. for CRC) I seriously suggest you write a mex function for doing the reversal. For such a simple operation, native MATLAB code is embarrassing slow.
why not use bitget?
>> bitget( 234, 8:-1:1 )
ans =
1 1 1 0 1 0 1 0

Using SUM and UNIQUE to count occurrences of value within subset of a matrix

So, presume a matrix like so:
20 2
20 2
30 2
30 1
40 1
40 1
I want to count the number of times 1 occurs for each unique value of column 1. I could do this the long way by [sum(x(1:2,2)==1)] for each value, but I think this would be the perfect use for the UNIQUE function. How could I fix it so that I could get an output like this:
20 0
30 1
40 2
Sorry if the solution seems obvious, my grasp of loops is very poor.
Indeed unique is a good option:
u=unique(x(:,1))
res=arrayfun(#(y)length(x(x(:,1)==y & x(:,2)==1)),u)
Taking apart that last line:
arrayfun(fun,array) applies fun to each element in the array, and puts it in a new array, which it returns.
This function is the function #(y)length(x(x(:,1)==y & x(:,2)==1)) which finds the length of the portion of x where the condition x(:,1)==y & x(:,2)==1) holds (called logical indexing). So for each of the unique elements, it finds the row in X where the first is the unique element, and the second is one.
Try this (as specified in this answer):
>>> [c,~,d] = unique(a(a(:,2)==1))
c =
30
40
d =
1
3
>>> counts = accumarray(d(:),1,[],#sum)
counts =
1
2
>>> res = [c,counts]
Consider you have an array of various integers in 'array'
the tabulate function will sort the unique values and count the occurances.
table = tabulate(array)
look for your unique counts in col 2 of table.

Produce every combination of two numbers up to eg 1000

I would like to compare every possible combination of numbers up to 1000 (or higher).
Eg
1 and 1
1 and 2
1 and 3....
2 and 1
2 and 2
2 and 3...
3 and 1
How can I do this in Objective-C (Specifically iOS programming)?
Im not too fussed if 1 and 2 and 2 and 1 happen, however it would be preferable not to happen.
Im guessing some 'for' loops and a lot of integer work is required.
Does anyone have a code snippet to do this?
Cheers
for (int i=1; i >=1000; i++){
for (int q=1; q >=1000; q++){
if (i > q){
}
}
}
hope so