====================
Matrices and Vectors                                                    [TOC]
====================

In this examples a macro named `COLMAJOR` is used to specify whether matrices
are stored _column major_ (if `COLMAJOR` equals `1`) or _row major_ (if
`COLMAJOR` equals `0`).

In the program we use the CPP directives

---- CODE(type=c) --------------------------------------------------------------
#ifndef COLMAJOR
#define COLMAJOR 1
#endif
--------------------------------------------------------------------------------

for this purpose:

- If you compile with `-DCOLMAJOR=1` or `-DCOLMAJOR=0` you can explicitly
  specify the storage order.
- By default (i.e. you don't use the `-D` flag) the macro is defined such that
  is expands to `1`.

Notes
=====

- Use the unsigned integer type `size_t` and the signed integer type
  `ptrdiff_t` (both defined in `stddef.h`) for dimensions and increments.
- For dynamic memory allocation we use `malloc` (declared in `stdlib.h`).
  Memory allocated through `malloc` can be release by `free`.  Hereby, memory
  must be released exactly once.
- For printing values of type `double` use the `%lf` placeholder.  Using the
  form `%9.2lf` reserves a total of 9 characters for the output with a decimal
  point and a precision of 2 digital places.

Exercise: Simple initialization and print functions for matrices
================================================================

Complete the skeleton below:

- Functions `initGeMatix` and `printGeMatrix`

  - First define the proper signature of the functions.  Derive the signature
    from the use-case in `main`.
  - Once a signature is well defined you can start to implement the function.

- Fix some of the function calls in `main`:

  - The increments `incRowA` and `incColA` need to be initialized depending on
    the storage order.

  - Allocate the right amount of memory for a $m \times n$ matrix with elements
    of type `double`.

  - Print different matrix views as indicated by the preceding `printf`
    statement.

:import: session09/matvec_01_ex.c