programming character in matlab - matlab

I have data with character time1, time2,time3 until time60. Which means each time have their own result,for example time1=70,time2=56 and etc.... how to arrange this data in matrix without need to manually arrange them as:
time=[time1 time2 time3 time4 time5.......time60].
I have no idea aside from above step. The above step is taking more time in order to type until 60 data. Is there any easiest way to arrange these data?

You can use the eval command inside a for-loop.
time = [];
for n = 1:60
eval(['time = [time, time', num2str(n), '];']);
end

You can do it straightforwardly without a loop as
eval(['time=[' sprintf('time%d ',1:60) '];'])
However, in future, try not to name your variables as time1, time2, etc. Instead, consider storing the values in a vector as time(1)=..., time(2)=.... This makes your code cleaner, fewer variables cluttering your workspace, can take advantage of vectorized operations which MATLAB is really good at (this depends on what you do with it though...) and if you need to save the values to a MAT file, you only need to save a single variable instead of 60.
I would also recommend against using eval as much as possible, and only in cases where it can't be avoided (e.g., working with someone else's code/data).

Related

Clean methodology for running a function for a large set of input parameters (in Matlab)

I have a differential equation that's a function of around 30 constants. The differential equation is a system of (N^2+1) equations (where N is typically 4). Solving this system produces N^2+1 functions.
Often I want to see how the solution of the differential equation functionally depends on constants. For example, I might want to plot the maximum value of one of the output functions and see how that maximum changes for each solution of the differential equation as I linearly increase one of the input constants.
Is there a particularly clean method of doing this?
Right now I turn my differential-equation-solving script into a large function that returns an array of output functions. (Some of the inputs are vectors & matrices). For example:
for i = 1:N
[OutputArray1(i, :), OutputArray2(i, :), OutputArray3(i, :), OutputArray4(i, :), OutputArray5(i, :)] = DE_Simulation(Parameter1Array(i));
end
Here I loop through the function. The function solves a differential equation, and then returns the set of solution functions for that input parameter, and then each is appended as a row to a matrix.
There are a few issues I have with my method:
If I want to see the solution to the differential equation for a different parameter, I have to redefine the function so that it is an input of one of the thirty other parameters. For the sake of code readability, I cannot see myself explicitly writing all of the input parameters as individual inputs. (Although I've read that structures might be helpful here, but I'm not sure how that would be implemented.)
I typically get lost in parameter space and often have to update the same parameter across multiple scripts. I have a script that runs the differential-equation-solving function, and I have a second script that plots the set of simulated data. (And I will save the local variables to a file so that I can load them explicitly for plotting, but I often get lost figuring out which file is associated with what set of parameters). The remaining parameters that are not in the input of the function are inside the function itself. I've tried making the parameters global, but doing so drastically slows down the speed of my code. Additionally, some of the inputs are arrays I would like to plot and see before running the solver. (Some of the inputs are time-dependent boundary conditions, and I often want to see what they look like first.)
I'm trying to figure out a good method for me to keep track of everything. I'm trying to come up with a smart method of saving generated figures with a file tag that displays all the parameters associated with that figure. I can save such a file as a notepad file with a generic tagging-number that's listed in the title of the figure, but I feel like this is an awkward system. It's particularly awkward because it's not easy to see what's different about a long list of 30+ parameters.
Overall, I feel as though what I'm doing is fairly simple, yet I feel as though I don't have a good coding methodology and consequently end up wasting a lot of time saving almost-identical functions and scripts to solve fairly simple tasks.
It seems like what you really want here is something that deals with N-D arrays instead of splitting up the outputs.
If all of the OutputArray_ variables have the same number of rows, then the line
for i = 1:N
[OutputArray1(i, :), OutputArray2(i, :), OutputArray3(i, :), OutputArray4(i, :), OutputArray5(i, :)] = DE_Simulation(Parameter1Array(i));
end
seems to suggest that what you really want your function to return is an M x K array (where in this case, K = 5), and you want to pack that output into an M x K x N array. That is, it seems like you'd want to refactor your DE_Simulation to give you something like
for i = 1:N
OutputArray(:,:,i) = DE_Simulation(Parameter1Array(i));
end
If they aren't the same size, then a struct or a table is probably the best way to go, as you could assign to one element of the struct array per loop iteration or one row of the table per loop iteration (the table approach would assume that the size of the variables doesn't change from iteration to iteration).
If, for some reason, you really need to have these as separate outputs (and perhaps later as separate inputs), then what you probably want is a cell array. In that case you'd be able to deal with the variable number of inputs doing something like
for i = 1:N
[OutputArray{i, 1:K}] = DE_Simulation(Parameter1Array(i));
end
I hesitate to even write that, though, because this almost certainly seems like the wrong data structure for what you're trying to do.

display variable value each n iterations with condition outside the loop

When I have to display the variable value every n iterations of a for loop I always do something along these lines:
for ii=1:1000
if mod(ii,100)==0
display(num2str(ii))
end
end
I was wondering if there is a way to move the if condition outside the loop in order to speed up the code. Or also if there is something different I could do.
You can use nested loops:
N = 1000;
n = 100;
for ii = n:n:N
for k = ii-n+1:ii-1
thingsToDo(k);
end
disp(ii)
thingsToDo(ii);
end
where thingsToDo() get the relevant counter (if needed). This a little more messy, but can save a lot of if testing.
Unless the number of tested values is much larger than the number of printed values, I would not blame the if-statement. It may not seem this way at first, but printing is indeed a fairly complex task. A variable needs to be converted and sent to an output stream which is then printing in the terminal. In case you need to speed the code up, then reduce the amount of printed data.
Normally Matlab function takes vector inputs as well. This is the case for disp and display and does only take a single function call. Further, conversion to string is unnecessary before printing. Matlab should send the data to some kind of stream anyway (which may indeed take argument of type char but this is not the same char as Matlab uses), so this is probably just a waste of time. In addition to that num2str do a lot of things to ensure typesafe conversion. You already know that display is typesafe, so all these checks are redundant.
Try this instead,
q = (1:1000)'; % assuming q is some real data in your case
disp(q(mod(q,100)==0)) % this requires a single call to disp

how to 'zero' all variables at each loop iteration

I have written a script describing a dynamic biological process in matlab; the input to which is a year of daily temperature values.The model runs for a year on this daily timestep carrying out different calculations required for the process.
I have thirty years of temperature data (matrix of size 365*30) and I intend to write a 'for loop' at the start of the script in order to use each year of daily data consecutively. I have about 5 variables that are the output from the script, which I intend to output to a txt/csv file at each iteration. My problem is that there are approximately 80 variables within the model and I would like to zero them all at each iteration of the outermost loop (the temperature input). I would like to do this in an efficient manner rather than having to individually zero all the variables. Does anyone know how to do this?
I have been looking at using the 'who' function to list all the variables and I'm thinking that it could be used somehow to zero everything. I have tried letting x = who; which seems to produce a list of all the variables in inverted commas. But obviously; trying to let x = 0 after that just redefines x. I was also thinking of just using 'clear all' but I think this would really slow the model down as it would be 'starting from scratch' redefining all the variable at each loop?
Any help would be appreciated.
First of all, if you have 80 variables you are probably doing something strange. Consider to combine them into vectors or arrays for example.
That being said, there are two situations I can think about:
You already initialize all your variables somewhere
In this case the solution is simple: move the initialization to the start of your outer loop.
You don't initialize anything (bad practice, especially if you are concerned about performance)
In this case you should put a function inside your loop, that only returns your output variables and not all these loose intermediate variables.
Perhaps a combination of these two methods can also apply, but really I would recommend not to use 80 different variables! And initialize any variable that you need to use.
A compact syntax to initialize scalars would be:
[a, b,c] = deal(0);

Vectorize matlab code to map nearest values in two arrays

I have two lists of timestamps and I'm trying to create a map between them that uses the imu_ts as the true time and tries to find the nearest vicon_ts value to it. The output is a 3xd matrix where the first row is the imu_ts index, the third row is the unix time at that index, and the second row is the index of the closest vicon_ts value above the timestamp in the same column.
Here's my code so far and it works, but it's really slow. I'm not sure how to vectorize it.
function tmap = sync_times(imu_ts, vicon_ts)
tstart = max(vicon_ts(1), imu_ts(1));
tstop = min(vicon_ts(end), imu_ts(end));
%trim imu data to
tmap(1,:) = find(imu_ts >= tstart & imu_ts <= tstop);
tmap(3,:) = imu_ts(tmap(1,:));%Use imu_ts as ground truth
%Find nearest indecies in vicon data and map
vic_t = 1;
for i = 1:size(tmap,2)
%
while(vicon_ts(vic_t) < tmap(3,i))
vic_t = vic_t + 1;
end
tmap(2,i) = vic_t;
end
The timestamps are already sorted in ascending order, so this is essentially an O(n) operation but because it's looped it runs slowly. Any vectorized ways to do the same thing?
Edit
It appears to be running faster than I expected or first measured, so this is no longer a critical issue. But I would be interested to see if there are any good solutions to this problem.
Have a look at knnsearch in MATLAB. Use cityblock distance and also put an additional constraint that the data point in vicon_ts should be less than its neighbour in imu_ts. If it is not then take the next index. This is required because cityblock takes absolute distance. Another option (and preferred) is to write your custom distance function.
I believe that your current method is sound, and I would not try and vectorize any further. Vectorization can actually be harmful when you are trying to optimize some inner loops, especially when you know more about the context of your data (e.g. it is sorted) than the Mathworks engineers can know.
Things that I typically look for when I need to optimize some piece of code liek this are:
All arrays are pre-allocated (this is the biggest driver of performance)
Fast inner loops use simple code (Matlab does pretty effective JIT on basic commands, but must interpret others.)
Take advantage of any special data features that you have, e.g. use sort appropriate algorithms and early exit conditions from some loops.
You're already doing all this. I recommend no change.
A good start might be to get rid of the while, try something like:
for i = 1:size(tmap,2)
C = max(0,tmap(3,:)-vicon_ts(i));
tmap(2,i) = find(C==min(C));
end

how to create a changing variable for fsolve

i want fsolve to calculate the output for different uc each time (increasing uc by 0.001 each time). each output from fsolve should be sent to a simulink model seperatly. so i set a loop to do so, but i believe that at the currenty constellation (if it will work)will just calculate 1000 different values? is there a way to send out the values seperately?
if not, how can i create a parameter uc. that goes from 0 to say 1000? i tried uc=0:0.001:1000, but again, the demension doen't seem to fit.
how do i create a function that takes the next element of a vector/matrix each time the function is called?
best regards
The general approach to iterating over an array of values and feeding them one-by-one into a series of evaluations of a function follows this form:
for ix = 0:0.1:10
func(arg1, arg2, ix)
end
See how each call to func includes the current value of ix ? On the first iteration ix==0, on the next ix==0.1 and so forth. You should be able to adapt this to your needs; in your code the loop index (which you call i) is not used inside the loop.
Now some un-asked-for criticism of your code. The lines
x0=[1,1,1];
y=x0(1);
u=x0(2);
yc=x0(3);
options=optimset('Display','off');
do not change as the loop iterations advance; they always return the same values whatever the value of the loop iterator (i in your code) may be. It is pointless including them inside the loop.
Leaving them inside the loop may even be a waste of a lot of time if Matlab decides to calculate them at every iteration. I'm not sure what Matlab does in this case, it may be smart enough to figure out that these values don't change at each iteration, but even if it does it is bad programming practice to write your code this way; lift constant expressions such as these out of loops.
It's not clear from the fragment you've posted why you have defined y, u and yc at all, they're not used anywhere; perhaps they're used in other parts of your program.