Getting started using the software¶
This document will tell you about how to get started using
atlas. To learn about how to launch
atlas see Run atlas.
atlas just type
^Z to quit it momentarily and put it in the background. Then type
fg to get it back in the foreground)
atlas software will do basic arithmetic operations on integers, vectors, and matrices with integral or rational coefficients. These are the basic types of data that``atlas`` uses to store and give information on Lie groups structure and representations.
You can ask the software to compute basic operations on the different data types.
To set up a variable, for example
atlas> set x=1 Identifier x: int atlas>
The second line is
atlas telling us that it recognizes
x as an integer.
atlas assigns a memory location in the computer for future operations involving the value assigned to that variable. We can verify we assigned the correct value to the variable by typing just
atlas> x Value: 1
Sometimes we want to ask
atlas to repeat the previous value or to use it to perform an operation on it. We use
$ for this:
atlas> $ Value: 1 atlas> $+2 Value: 3 atlas>
A useful way to change the value assigned to a variable is using the
:=. However this works as long as the new value is of the
same data type as the old one. You may also notice in the example
below that, if we don’t use this way of assigning a new value to the
variable, we get a message “(hiding previous one of type ….)”
However there are other reasons why this second method of redefining the value of a variable. They have to do with the software functionality
atlas> set x=2 Identifier x: int (hiding previous one of type int) atlas> x Value: 2 atlas> x:=5 Value: 5 atlas> x:=2/3 Error during analysis of expression at <standard input>:33:0-6 Type error: Subexpression /(2,3) at <standard input>:33:3-6 has wrong type: found rat while int was needed. Type check failed atlas>
Note that if you have not assigned a value to a variable you cannot
use this method. You need to first use
atlas> z:=1 Error during analysis of expression at <standard input>:2:0-4 Undefined identifier 'z' in assignment z:=1 Expression analysis failed atlas> set z=1 Variable z: int atlas> z Value: 1 atlas> z:=2 Value: 2 atlas>
The software will often accept a simpler data type (like an integer) in a place where a more complicated one (like a rational number) is required, as long as this can be done without ambiguity:
atlas> y:=3 Identifier y: int atlas> set z=3/2 Identifier z: rat atlas> y+z Value: 9/2 atlas> whattype(y+z) type: rat atlas>
This works in most cases. However, there are some exceptions when the software does not switch to the appropriate data type.
Another useful command is whattype:
atlas> whattype x type: int atlas>
This tells us the data type (int) of the variable x. For more information on data types go to Basic Commands.
When you launch
atlas with the standard built-in commands only,
you sometimes may need another command that is not included there
and you get an error telling you the command is undefined. The reason
is because the command may be defined in a supplementary file that
needs to be loaded. The
basic.at filencontains most of the commands you will need to get familiar with the software.
We need to introduce two other commands.
< is the input command that will help you load the
.at files that you want.
> is the output command. More on this later.
There are a few supplementary files that you may want to load right
away as you launch the software. If you haven’t done so or you don’t
remember, you can type
<basic.at for example. If you get an error
saying it failed to input the file, you need to quit
atlas for a moment to learn how to do that.
The supplementary files are in the directory
atlas needs to know where they are. So you need to launch
providing the path for these files. Go to Run atlas for
information about this. (Make sure you are in the directory
where you downloaded
atlas and type
ls to verify that the
atlas-scripts directory is there).
You can also
cd into that directory to see all the supplementary files available. These are all the
.at files listed there.
After you launched the software with the path information, you can load the file
atlas> <basic.at Starting to read from file 'atlas-scripts/basic.at'.
After this the software will list all the scripts included in the
file that are now added to the built-in commands. You can see what you have now by scrolling back on your screen. As we cover more features of the subject we will need to load other
For more detail on the commands included in any
.at file you can go to the file itself using