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Types

This section describes the types of Lua Linear.

linear.vector

A vector of double values, representing its components. Vectors have support for the ipairs function, the length operator #, as well as index access to get and set the components of the vector. Indexing is 1-based.

The length of a vector, $N$, must satisfy $1 \le N \le \mathrm{INT\_MAX}$ where $\mathrm{INT\_MAX}$ is $2^{31} - 1$ on many systems.

linear.matrix

A matrix of double values, representing its elements. Matrices have support for the ipairs function, the length operator #, as well as index access to get the major vectors of the matrix. Indexing is 1-based.

Each matrix has an order that is either row major or column major. For a row major matrix, indexing returns row vectors; for a column major matrix, indexing returns column vectors.

The row and column dimensions of a matrix must each individually satisfy the requirement given for the length of a vector above.