Lecture 22 – Apr 6th, 2020

Setup

1. Log in to clyde.
2. $ cp -r ~steve/ex/mda .

Task

1. Implement the function read_array in array.c. It should read in a rectangular (2D) array of integers from the specified file into an array and return the array along with the number of rows and columns. See array.h and array.c for details.

   The first line of the file contains two integers: the number of rows and the number of columns. Following this are number-of-rows lines each of which contains number-of-columns integers. For example,

   5 3
   1 2 3
   4 5 6
   7 8 9
   10 11 12
   13 14 15
   

   represents a 2D array with 5 rows and 3 columns (this file is in small.txt) $\begin{pmatrix}1&2&3\\4&5&6\\7&8&9\\10&11&12\\13&14&15\end{pmatrix}.$

2. Implement the function write_array in array.c. It should first write out the number of rows and then columns on the line followed by the data of the array to the file.
3. Test that your code works by making copyarray ($ make copyarray) and then trying to copy the array from small.txt into copy.txt.

   $ ./copyarray small.txt copy.txt
   

   Check that the output matches what you expect.

4. Implement the missing functionality in transpose.c. It should take in an array from one file, compute the transpose, and write it out to the second file.

   The transpose of the small $5\times 3$ array above is the $3\times 5$ array $\begin{pmatrix}1&4&7&10&13\\2&5&8&11&14\\3&6&9&12&15\end{pmatrix}.$

5. Create a new program matrixmult (and add it to the Makefile by adding matrixmult to the bins variable) with a corresponding matrixmult.c This program should take three arguments. The first two should be the paths to files containing arrays and the third is the output file. Compute the matrix multiplication of the two input arrays and write the result to the output file.

   Note that if you have a $k\times m$ matrix and a $m\times n$ matrix, then the result of multiplication is a $k\times n$ matrix. Otherwise, the multiplication isn’t defined.