Matrix Library

[Jim Bauwens]

Take a look at this:

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class = function(prototype) local derived={}   if prototype then derived.__proto = prototype   function derived.__index(t,key)   return rawget(derived,key) or prototype[nobbc]   end   else   function derived.__index(t,key)   return rawget(derived,key)   end   end     function derived.__call(proto,...)   local instance={}   setmetatable(instance,proto)   instance.__obj = true   local init=instance.init   if init then   init(instance,...)   end   return instance   end     setmetatable(derived,derived)   return derived end Matrix = class() function Matrix:init(mat) self.get = function(self, y, x) assert(type(y) == "number" and type(x) == "number", "Invalid input to Matrix:get!") return mat[y][x] end self.set = function(self, y, x, n) local nn = tonumber(n) assert(type(y) == "number" and type(x) == "number" and nn, "Invalid input to Matrix:set!") mat[y][x] = nn end end function Matrix:someFunction() self:set(whateveryouwant) end matrix1 = Matrix{{1,2,3},{4,5,6}} matrix1:set(2,1, "9") print(matrix1:get(2,1))

What do you think ?

[3rik]

Yeah this type of thing would work and it would be far easier to manage. I think in the long run it will probably be shorter and faster to do some thing like this, rather than basically making a new type out of an old one.
Thanks.

[DJ Omnimaga]

Nspire Lua didn't have native matrix support?

[Levak]

Nspire Lua didn't have native matrix support?

Nope.
Everything is table in Lua. So it has to be made either in a library or by the programmer with some offset tricks.

[Jim Bauwens]

Depends what you mean with a Matrix.

If you just want a matrix for a map, it's as simple as:

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map = {  {1,1,1,1,1,1,1,1},  {1,1,0,0,0,0,0,1}  {1,0,0,1,1,1,1,1}  {1,0,1,1,1,1,1,1}  {1,0,0,0,0,0,0,1}  {1,1,0,0,0,1,0,1}  {1,0,0,1,0,0,0,1}  {1,1,1,1,1,1,1,1} }

or however you want to store the data. It's just a combination of tables, and you can access it using map[ x][ y].

If you are talking about mathematical matrices, no Lua does not provide support for the math of it. However, Nspire-Lua does. You can access Matrices in the document using var.recall, var.recallAt and math.eval. You can write to the matrix using math.eval, var.store or var.storeAt. Performing (mathematical) operations is done using math.eval.

So: You can easily have normal data and mathematical matrices in Nspire-Lua. But mathematical matrixes in normal (computer) lua is not possible, hence why 3rik is writting this lib.

[3rik]

I've finished all the basic stuff.

I'll attach it here and update the first post.

Edit:

The documentation is included in the source.

Here's some code to test the library out.

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m = matrix.new({{2, 5, 7}, {5, 7}, [4] = {5, 6, 7, 3}}) print(m) n = matrix.new({{2, false, "7"}, {true, 7}, {5, 6, 0, 3}, {}}) print(n) o = m[1] print(o[1], o[2], o[3], o[4], "\n") print(o[2], m[1][2]) o[2] = 4 print(o[2], m[1][2]) m[1][2] = 5 print(o[2], m[1][2]) m[3] = {4, [3] = 5} print(m) print(tostring(-m)) p = m:copy() print("\n", "\n", m, "\n", p, "\n", "\n") print(m:isequal(p)) print(m + p == p:ebemult(3) - m) print(p:ebemult(m:ebediv(5))) print(m:totable()) print(unpack(m:totable()[1])) print() for row, col, val in p:mpairs() do     print(row, col, val) end print() m = m + 1 print(p*m) print(m*p) print(m:trans()*p) print(m.dim[1], m.dim[2], m.dim.rows, m.dim.cols) print(matrix.gen.zero(4)+m == m) print(matrix.gen.random(5)) print(matrix.gen.random(5, 2)) print(matrix.gen.random(5, 2, 3)) print(matrix.gen.random(5, 2, 3, 10)) m = m:submatrix(2, 3, 2, 3) --now a 2 x 2 print(m) m = matrix.insert.row(m, 2, {44, 6, 7}) --truncated print(m) m = matrix.insert.col(m, 2, {44, 6, 7, 8}) --truncated print(m) print(matrix.remove.row(m, 2)) print(m) m = matrix.remove.row(select(1, matrix.remove.col(m, 1))) print(m)

[3rik]

I fixed a few bugs, and changed all the asserts to errors so it's easier to find mistakes.

[adriweb]

I just found something, maybe it can help if ever needed ?
https://github.com/smeschia/gsl-lua/blob/master/src/gsl.lua

(edit : eh, maybe not... looks like just a binding )

[3rik]

I think I'm okay for now. I'm sort of taking a crash course in linear algebra before I finish up the next version. I do have a lot of new things added, so I'll post what I have so far and update the first post.