Matrix 0.2

So, this is the second version of my matrix library. As it is not completed yet, it is currently at 0.2. (here)

The library follows a principle opposite from that of DanielLC's library - no destructive function calls. So basically, if you call a function, you can be sure that it won't modify any variables except the one(s) you assign the result too. This differs from DanielLC's, where it modifies the matrix passed as an arguement to the function.

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The library itself has descriptions of all the functions, but here's another list anyway.

1. Dimension functions:
   • Height
     
   • Width
     
   • Order

Arithmetic functions:

• Addition/subtraction
  
• Unary minus (negation)
  
• Scaling - Scalar multiplication/division
  
• Multiplaction - matrix by matrix
  
• Inversion
  
• Integral exponentiation

Other functions:

• Concatenation (horizontal)
  
• Sectioning and cutting
  
• Identity matrix creation (via size or matching matrix)
  
• Reduced row echelon form

Equality checking

Printing/string conversion

The library also contains functions for operating on rows:

• Addition/subtraction
  
• Negating
  
• Scalar multiplication/division
  
• Concatenation
  
• Sectioning
  
• Equality
  
• String conversion

However, these functions were created mainly just for use within the library.

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Metatable Use:
As this library now has metatable support, it makes sense to tell everyone how to use it.
To define a table as a matrix, you have to either call matrix(<table>), or matrix.new(<table>). Then, if you set these to variables you can use the normal arithmetic symbols.

Code:

m1 = matrix.new({{1,3},{2,4}})
m2 = matrix({3,1},{4,2})

result = (m2^-1+m1^2)*(m2^0*2)/6

A few notes:

• matrix()/matrix.new() accepts both a full table, and individual rows of the tables (See example)

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So, feel free to use the library (with credit ), and if you think there are functions missing from it, please feel free to suggest them/edit them in.

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Todo list:

• Object Orientation
  
• The library may include destructive calls later on, but they would all be identifiable.

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Update log:
16-11-2010

• Added integral exponentiation

27-11-2010

• Added metatable support

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Object Orientation coming soon!

I'm planning on modifying Jetcalc to use this once you add the metatable support stuff. I was going to just improve mine, but I figure it's good to have one standard that we all use.

I've got it modified, I'm just yet to upload it. Will do now.

The details are in the main post.

Can you do m1/m2? How about 1/m?

Have you checked to see if non-RigidChips lua programs work? It would be a shame for you to do all this and find out that we could have used Lua Matrix the whole time.

I haven't checked if Lua Matrix works, but I also did this as an exercise and a bit of a test for me

And, 1/m is something I will pit in the next version, hopefully.

I notice it doesn't have vectors. Are you going to add them in?

Perhaps at some point. If I need vectors I generally use Bwansy's vtr3 library.

But you need to be able to multiply vectors by matrices.

I guess so.