querying matrices using vectors (lookup table for matrices?)

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swenia
swenia 2020-2-3
编辑： swenia 2020-2-3
Hello,
Suppose A1, A2, etc. are same-size matrices which are valid within different ranges, x_min and x_max. Given x, I'd like to get the associated matrix A.
For instance:
A1 if x_min1 < x < x_max1
A2 if x_min2 < x < x_max2
etc.
My problem is, x is actually a vector (n-by-1), and therefore every element in vector x might have a different matrix associated with it. I'm trying to think of the best way of storing matrices for corresponding x values. The matrices will be used in later operations in the same function. Would a local function be the best option? If so, how would you define this local function? Or is there a better alternative? I thought of using cell arrays but I'm not very experienced with them. Also, size of vector x changes with every function call.
Please advise. Thank you.
----
Matrices and the ranges are stored in a Matlab structure in different fields. e.g.
struct(1).A = A1
struct(1).xranges = [x_min1; x_max1]
struct(2).A = A2
struct(2).xranges = [x_min2; x_max2]
etc.
Currently I'm calling these matrices in a very lame way:
Because the size of the vector x changes with every function call, I have a for loop that finds the index of struct for x_min < x < x_max, uses the matrix corresponding to this index, and then goes to the next element of x in the for loop. Ideally, I'd like to query all matrices corresponding to all elements of vector x once, keep this data in whatever format it is and use it later on.

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