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Episode: 1951
Title: HPR1951: Some additional Bash tips
Source: https://hub.hackerpublicradio.org/ccdn.php?filename=/eps/hpr1951/hpr1951.mp3
Transcribed: 2025-10-18 11:46:27
---
This is HPR episode 1951 entitled Sum additional bash tips and is part of the series bash
cryptying.
It is hosted by Dave Morris and is about 40 minutes long.
The summary is more about expansion in bash, this time arithmetic expansion.
This episode of HPR is brought to you by an honesthost.com.
Get 15% discount on all shared hosting with the offer code HPR15 that's HPR15.
Get your web hosting that's honest and fair at An Honesthost.com.
Hello everyone, this is Dave Morris.
Today's episode is another one in my series bash, continuing the subject of expansion.
I've called it some additional bash tips.
I wish now I'd numbered these ones because might have made more sense, but never mind.
So last episode in this mini series was 1903 and we looked at the various types of expansion
that occur when a bash script or pipeline on the command line whatever is being executed.
And I listed all the various types of expansion.
We got as far as looking at tilde expansion 1903 and then command substitution.
So today, well before I say that, there are three more, possibly four more items to
to cover in this list, arithmetic expansion is what I'm looking at today and it might
take another two episodes to cover the rest.
I don't know.
These things tend to be longer than I expect them to be when I come to do them.
One small note while I'm on the subject of these notes, I've got long show notes for
this episode of course.
So my side note is that I have changed the way I'm doing my examples.
In previous notes, I have indicated the command to type and the result of typing the command
in a different way.
The result I've put a minus and a greater than in front of it to show what it is.
This time around, I'm going to show the command as if it was being typed to a prompt and
the prompt would be a dollar prompt.
So if you see a line beginning dollar space and then a command, that's what you would type.
And the stuff that follows would be what comes back from typing the command.
In most cases, my examples produce some sort of output because I'm using them to demonstrate
an idea and so forth.
I think this method I'm using from now on is probably less ambiguous than the one before.
It was pointed out to me that the previous way of doing it was a bit hard to follow in
all cases.
Anyway, getting on with the actual subject, arithmetic expansion.
So this is a type of expansion that takes an arithmetic expression and returns the result.
So you can see, the first example here shows that you need to start such an expansion
with a dollar sign, two open parentheses, the expression and then two closed parentheses.
So I've given an actual example which is dollar space, echo, space, dollar, double open
parentheses, 42 slash five, close parentheses twice.
What that's doing is it's dividing 42 by five and the answer comes out as eight.
Now this is integer arithmetic as you will have gathered from that result.
The fractional part is thrown away.
I thought it was worth putting in at this point that if you really want to do full fractional
result to this, then you can use the BC command.
This was covered in Dan Washco's Linux in the Shell series, which was done as HBR show
number one, two, two.
And there's an example showing, I won't read these all out in huge detail, but I'll summarize
them as I go.
Essentially you need to use echo to prepare an expression which you then pipe to BC.
So the example shows echo followed by in quotes, double quotes, scale equals two, semicolon.
BC can take multiple commands to it, it's a whole language in itself.
So semicolon, as I said, space 42 slash five, close quote, then a space, not necessarily,
but that's what I've got, vertical bar, which is the pipe symbol, space, BC.
So if you do that, it puts that, it sends that expression from which is really a little
program to BC and you get back 8.40.
The scale equals two bits says to BC that you want two decimal places in your result,
but if fault it returns you an integer result.
In the example I showed, I used echo to report back the result of the expression I just
explained to you and I put it inside a command substitution.
That was slightly silly, though it was just to make the point really, if you were doing
this for real in a script or something, you'd probably set a variable to the result of
that echo into BC pipeline.
And I've got an example there that shows how you would do that and then you'd echo that
variable.
So when you're doing arithmetic expansion in bash, the expressions that you use don't
just have to contain numbers, they can also contain bash variables.
Usually when you do this, you use just the plain name of the variable.
You don't put a dollar on the front.
Remember that we looked at this way back in this series where if you put a dollar in
front of the variable name, that means substitute in the contents of that variable.
So I've shown in my example X being set to 42, then an echo space dollar to open parentheses
X slash 5, X divided by 5, close parentheses, close parentheses and the answer comes back
as 8.
Now if you put a dollar on front of that egg, you've got the same result.
There are however potential pitfalls of doing this.
The expression inside the double parentheses is subject to variable expansion, as you
might expect.
So dollar X means expand the contents of X.
So in the example I've just cited, it would, the contents of 42, so it would have, would
have substituted 42 in and the result would have been the expression 42 slash 5, 42 divided
by 5.
That's okay, but it's, there are some potential pitfalls that I'll come on to a bit later
on.
Now if a variable is null or unset and we're back to using it without the leading dollar,
then it, it value X to 0, it's interpreted as 0 by bash.
If it was empty and you use the dollar to substitute it, you would end up most likely with an invalid
expression.
The value of a variable is always interpreted as an integer.
If it's not actually an integer but it's say for example a text string, then it's treated
as 0.
I didn't find this documented actually, so I'm mentioning it here because this was the
result of doing a little bit of experimentation.
I show an example where I set a variable called STR, short for string equal to an A in double
quotes.
I echo using arithmetic expansion dollar open parenthesis, open parenthesis, STR times
2, close parenthesis twice, of course, and the answer comes back as 0.
So it's taken that letter A has treated it as 2, as 0.
I mean multiplied it by 2 and of course the answer is 0.
And the second example in this group is setting it to the string 0X capital A in quotes
again.
Now, if you put that into the arithmetic expansion expression, then the answer is 20.
The reason for that is that 0X capital A is interpreted as a non decimal number.
So I go on to explain a bit about this now in the notes.
So there are a whole range of non decimal numerical constants available in bash.
So any number that begins with a 0 and is followed by digits is taken to be octal.
Hexed decimal numbers are denoted by a leading 0 lowercase X or 0 capital X.
So my previous example was hex A, which is 10, multiplying that by 2, gives me 20.
Be aware that the way in which octal constants are written, that is that leading 0, followed
by digits.
It can lead to unexpected outcomes.
I mention this because I've been bitten by this many times.
Well, I was anywhere in the early days when it just didn't seem like a logical thing
to do.
So my example here is quite long, a bit long to read out, but just to summarize it, I start
off by setting a variable X to the number 010.
And then echoing it in a arithmetic expansion expression.
So dollar, open parenthesis, open parenthesis, X, closed parenthesis, closed parenthesis.
The answer comes back as 8.
The reason for that, I'm sure you've worked that out, is that it's interpreted as an
octal number.
So an octal 10 is 8 in decimal.
And it's always reporting these back as decimal, of course.
So then I show an example where I might have typed the number 018 and set that into a
variable.
And then tried to echo it back again as a number using the arithmetic substitution expansion
thing.
And I get an error back from bash saying that 018 value 2 great for base.
So what it's saying is this, I'm interpreting this as an octal number, you kind of 8's in
octal.
You only go from 0 to 7 in the digits.
So I also showed how you could easily fall into that trap by using print f, print f minus
v, followed by X.
What that does is it uses print f to format text or a number or whatever and put it into
the variable X.
And in the format string, I've got open double quotes, percent 0 3d.
That's why I'm saying you want to print a number.
You want it to be three digits wide.
And you want leading zeros, back size aim for new liner when it's done it.
And then close double quotes and give it the number 19, decimal 19.
So processing that, the print f will produce 019 and putting that into an echo followed
by an arithmetic substitution will produce similar sort of error to the one I just mentioned
because 019, treated as an octal number is illegal.
You can see how easy it might be to generate such numbers and then try and process them
in this way.
And suddenly you find why is this why is 19 illegal and forget that that leading zero means
it's interpretive as octal.
There's also a complete system within bash of defining numbers with bases between 2 and
64.
And to do that, you put in a base, a numeric base, followed by a hash mark, followed
by a number in that base.
So if the numeric base and then the hash is emitted, then it's assumed that it's a base
ten number.
That is a decimal number.
Or it could also be an octal number if it begins with a zero or a hexadecimal number
if it begins with zero x.
The number that follows the base hash sequence is, can use characters to represent the different
digits that are possible in the different bases.
And same way as if you're typing in a hexadecimal number, like one we saw before, the hexadecimal
A is actually representation of decimal ten.
So the characters that you can use in bash are the letters lowercase A to lowercase Z
and uppercase A to uppercase Z and the at sign and the underscore sign.
The reason I've spelled them out so clearly, hopefully anyway, is that they're not sequential
through the ASCII set, but it makes sense to do it that way.
Now one of the things I discovered, it's not well documented in the man pages, but messing
around with it, I discovered that the context in which these number formats with the base
thingy are understood by bash are a bit limited.
So I show an example where I'm setting x equal to 16 hash capital F. So that's, that's
why I'm representing a hexadecimal number F. So I then try and echo that, just echoing
dollar x. And of course, well, not of course, but what I get back is the number, the sequence,
the strings 16 hash F. So bash has not converted them or treated it like string.
There's another example as well which sets x to 0 x F, which is using the other format
for the representing hexadecimal, echo that and you get 0 x F. So it's treating them
as string. There are other ways, actually this is quite a big subject, which I'm not covering
here particularly deeply. There are other cases where you can force bash to actually treat
these consonants as the numbers they represent. And there's a declare verb, you can, as
example here, it shows declare minus i, followed by a variable I've called i i with two capital
i's, and set that to equal to 16 hash F. So what that's actually done is it's declared
this variable i i, in capitals. Why did I choose this? It's really hard to speak, it's
a discrapping word. Anyway, I should must remember this in the future. It's declared it
explicitly. Usually these things are done implicitly. It's declared it and said it's
an integer. It's only to hold integers. So setting it to that value, 16 hash F says it's
an integer put this value in which you understand don't you bash. And then if you echo that
variable you get back the answer 15. So it has in this case interpreted it. I think that's
because the variable is declared as an integer type variable as opposed to the usual type
which which are sort of general purpose and don't have any specific attributes to them.
So bash doesn't know when you're setting them, whether you're trying to set a numeric
value or a string. There's also a let command, let, which is all can also be used for setting
variables. So I show an example where I use let space x equals 16 hash F then echo dollar
x and get back the answer 15. So that's another case where this has interpreted the base hash
number thing when setting the value. Now these things like declare and let and some other
things are all part of what tends to be called shallow arithmetic. And although we're we're
looking at this to some degree in this show, we're not going to go into the into a lot of detail.
I'm thinking that maybe I need to talk more about this subject later on in the in the series.
Now if you do the next example here which is setting x to just plain x equals 16 hash F then
if you echo the the contents of x through the arithmetic expansion syntax dollar open
parenthesis open parenthesis x close parenthesis close parenthesis you get back 15. So the the
arithmetic expansion syntax does force the correct interpretation to take place. I digress a little
bit at this point in my notes to demonstrate a little bit of bash a very small script that
could be used to examine the decimal values that you get with different sorts of notation.
I don't did I say the the types of the bases that you're allowed yes I did the bases that you're
allowed vary from two to 64 and what I thought I'd do is just demonstrate numbers to base 64
and just just run through them or all the single digit numbers in that in that range just to show
how you can visualize them. So I've got a for loop what I've done here is I've written it out as if
it's a the sort of script that you put in a file so it starts with a hash exclamation mark line
which hopefully you can you can see I won't read it out then there's a for loop which is setting a
variable x so it's a for x in and then following the inward there are a bunch of expressions and
these are brace expansions so I've put in there open brace zero dot not nine close brace space open
brace locate a dot dot z locate z of course close brace space open brace capital A dot dot capital
z close brace then an at space then an underscore semicolon space do so what that loop is saying is
that to set x to all of the values from zero through nine locate a through z uppercase a through
uppercase z at sign and underscore and then the next line says n equals and then in quotes 64 hash
dollar x close quotes double quotes so what that's done is it's made a base 64 expression constant
really out of the the variable x then we echo the string in double quotes dollar n so we want
to see what n is actually set to which will be just be that string that we just used equals dollar
open parenthesis open parenthesis n close parenthesis close parenthesis close double quotes so
you should therefore get things like and there's some examples in the notes 64 hash zero equals
not too surprisingly but more interestingly 64 hash capital Y equals 60 all the way to 64 hash
underscore equals 63 so a number to base 64 written as 64 hash underscore actually means decimal 63
so it's actually quite a big subject which I've digressed into here but we could do a lot more about
this as I've already said I'll stop at this point so let's look at what can actually go in between
these double parenthesis in an arithmetic expansion it's written down as being an arithmetic
expression and it's documented in the bash man page under the heading arithmetic evaluation
partly because the same syntax is used in the whole larger subject of shell shell arithmetic
so I've included that particular piece of the man page in the notes for for your edification
it's a big man page so it's quite it takes fabric to scroll to I thought it might be useful if you
had it in these notes so you can do a lot of quite useful interesting things in an arithmetic
expression in fact there's a lot to be said here which I could go on and on about but I'm trying
to restrict myself to a subset of it but I wanted to to cover some of the elements of it just to
give you a better understanding of it first of all we'll deal with pre and post increment and
decrement now if you look at the the man page you'll see this heading and they're not really very
well explained it's assuming what they mean the operators here increment or decrement the
contents of a variable by one and the pre and post effect remember it's pre and post increment
pre and post bit says whether the operation is performed before or after the value is used so
I've listed a bunch of examples hopefully to make this clearer so my example sets a variable which
I've called vowel the al equal to 87 then is followed by an echo where the echo is a quoted
double quoted string and inside the string is dollar open parenthesis open parenthesis plus
plus vowel close parenthesis close parenthesis and then space dollar vowel so the idea was that the
arithmetic expansion would be used and it would use one of these pre and post things and then you'd
see the actual value thereafter because it's actually changing this variable okay so take that first
example where we're using plus plus vowel inside the arithmetic expansion what that saying is
increment this value before you display it so started out as 87 we incremented and it becomes 88
we see it in the output from the echo then we look at the contents of vowel after that express
and spin executed and it's 88 we know that not too surprising so the next example uses a pre
decrement which is minus minus vowel so it's all right we just said it to 88 so the answer comes
back as 87 and that that means that the vowel itself has been changed to that value and we show
that as part of the echo it's the same same line but with different operations inside so the
third one we're using vowel of course again but this time is a vowel plus plus so that's a
post decrement the post increment sorry I'm getting confused now so it was 87 so when the result
of vowel plus plus is we we get back the value of vowel before it was incremented so we see 87
and then afterwards the variable vowel contains 88 so the result of the echo is 87 followed by 88
and the last example is similar but we're using a post decrement so we know that vowel is currently
88 in the example so we do vowel minus minus and then we show the contents of vowel so the answers
we get back are 88 and 87 so it was 88 when it went into the vowel minus minus post decrement
and then it was reduced to 87 so I'm showing the contents of vowel results in 87 it's actually
a bit confusing to hear read out think if you if you can look at the at the example you might
find that explains things better now the pre and post increment and decrement operators need variables
not number because it's all about taking a variable doing the thing to it and saving that
the result so I show another example of how if we set a variable we call in my var equal to 128
then we echo in dollar open parenthesis open parenthesis plus plus my var closed parenthesis
closed parenthesis we get back 129 so it's it's incremented the the result and has reported what
happened now if instead of that we'd put a dollar in front of my var then it would have caused
the contents of my var to be substituted rather than the name of the variable so that can it's either
you know that doesn't it's either syntactically invalid to do it to do that or it can lead us to
weird effect so I show an example where I use echo and then an arithmetic expansion using dollar
my var minus my and I get back a bash error saying syntax error operand expected and it's saying
you know what I see is 129 minus minus that means nothing the reason why it can lead to one
wanted effect is that if you are doing a a pre decrement for example my next example shows
my var being set to 128 and then we use the expression minus minus dollar my var and the answer
we get back is 128 so what's happened there is that the substitution has resulted in the sequence
minus minus 1 2 8 what that actually means is negative 1 2 8 then made negative so in other words
the two two minus signs cancel one another out so you can see there's loads of scope for a confusion
if you do this so the reason I'm hammering on about this is because if you if you're into this sort
of stuff you really need to bear in mind which of the operators work on the variable names and
which work on or can work on numbers so my examples skip around a bit between the the various
operators a treat new unreminus neck which is just putting a minus sign in front of the variable
and it just changes the sign of it so my example shows a minor in being set to 16 and then we use
minus int and the answer we get is minus 16. Exponentiation is the next example we're assuming
the int is available throughout all these examples and we use the expression int star star two so
that means raise the power of two remember int was 16 so 16th power two is 256 16th squared in
other words 16th squared is 256 now the expressions that you can place inside this dollar open
parenthesis open parenthesis closed parenthesis closed parenthesis arithmetic expansion thing
can be any arbitrary of any arbitrary complexity so I show an example next where I'm using int
to the power of two so it's int star star two plus three then I want to get the remainder after
division by five so I needed to put the int to the power of two plus three in parenthesis otherwise
the percent operator the the remainder operator would apply to the three rather than to the
result of that expression so I needed parenthesis there and that's as you would expect it to be
I go on to talk about the bitwise shift and bitwise or features operators I guess they would be
so here my example is using int and then the bitwise shift to the right is two greater than signs
followed by one which means shift the contents of int by one bit to the right so 16 is shifted to
the right by one which is the equivalent of division by two the answer is eight and I talk about
how you would visualize that in binary 16 is binary one zero zero zero zero as one followed by four
zeros shifting it to the right once returns one zero zero zero one followed by three zero which is
binary eight decimal eight I mean next one is int shifted to the left one place so shifting
16 to the left once returns a one in binary turns returns a one followed by five zeros which is
32 in decimal and I'll see answer you get then I show how you could use bitwise or where take int
shift it left by one and then or it with eight so 16 shifted left one is 32 binary oring
eight to it is in binary it is one followed by five zeros or with zero one followed by three zero
and the answer to that is one zero one zero zero zero which is decimal 40 it's actually 32 plus eight
I do the same thing using hexadecimal so I've got a print f and the print f is using the percent
hash x format which says print the number that you've been given in hexadecimal format with a zero
x on the front of it fact it's a lowercase x means you get zero lowercase x then there's a back
slash n which causes a new line to be generated and the expression I'm feeding it is another
arithmetic expansion in fact it's the one we just saw is the one that contains int shift int
shifted left one place ord with eight and the result you get back is hexadecimal 2828 I
suppose you'd be best to call it so you can visualize that in binary as zero zero one zero for
for the two and zero sorry one zero zero zero which represents the eight so it's the same
as the previous answer it's just that hex is a more helpful way of visualizing it in this list
there's also a conditional operator and I thought I should have a go at explaining that so
conditional operator in bash is similar to the sort of things you see in other languages in
c and so forth but it only operates with integer values its layout is an expression which has
to return a value which can be interpreted as true or false so zero or one followed by a question
mark followed by another expression which returns a numeric value a colon and a third expression
so if the the first expression returns true then the second expression in the list is returned
if it returns false then third expression in the list is returned so my example is moderately
complicated what I've got is really a little script except it's not written out as a script it's
just a bunch of commands a variable my var equal to the result of the expression
ink shifted left three times three three places and that's in an arithmetic expression
so what it is it's the same as multiplying it by two three times so the answer will be 128
that's then followed by an array declaration msg message equals open parenthesis then there are
three strings separated by spaces close parenthesis and the strings are in single quotes under 100
between 100 and 200 is the second string and the third string is over 200 third line is range
equals and here we come to the conditional operator so range is being set to an arithmetic
expansion expression which is dollar open parenthesis open parenthesis my var greater than 100 so
that's the first expression of the triple my var greater than 100 and so we're asking is my
var greater than 100 follow that with the question mark then the first expression that follows that
the one that will be executed if the if the value is is true is another is another conditional
operator which I'll come back to in a minute the one that is returned if its false is just a symbol
playing zero so that's all close with two closing parenthesis so that second internal expression
second expression in this conditional operator is another arithmetic expansion which is a dollar
open parenthesis open parenthesis here we have first expression in the triple is my var greater
than 200 the question mark followed by two colon one so the whole thing is is saying if my var is
greater than 100 then the second arithmetic expansion is used which then test to see if my
var is greater than 200 if it is result returned is two otherwise result returned is one and if the
original thing was less than 100 then zero is returned so the result of all that is that
range is set to zero meaning that my var is under 100 one means between 102 and two means over
200 so the echo which follows in this example consists of the string and double quotes my var equals
dollar my var so we're going to see what what the current value of my var is we comma space
range equals dollar range I'm going to want to see what range came back from the value came back
from that that horrible expression finally message colon space and then that's followed by dollar
open brace msg square brackets dollar range close square brackets close brace close double quotes
so that you will recall hopefully is the way that you get an array element in bash and we're
getting an element out of the array msg and we're indexing it by whatever value came back from
the computation of range so my example I show what actually is returned and we get back my var
equals 128 not surprisingly we knew that was what was going to be range equals one well 128 is
between 100 and 200 and the message that's returned the contents of that msg array is the string
between 100 and 200 so it's quite a contrived example but it um hopefully conveys the sort of
thing that can be done with this type of type of thing why would you want to do it this way I
suppose I tend to do this but um but I mean you could make it a lot more explicit by using if then
type structuring in your script but um it's it's it's it's this thing exists and it's nice to use
I find anyway I follow this with another example of that sequence of setting my var setting range
and echoing result of everything but this time I changed my var to int shifted four places to the
left in other words it's 16 times 2 to the 4 which is 256 then we recalculate range we don't
need to reset msg because it's already been set previously recalculate range use it in the same
echo as we did last time we get back my var equals 256 range equals to message over 200 so like I
said these are these are somewhat contrived and maybe not they're not all that robust it's easy
to break this but uh you can see the principle you could use this to to make make a script do something
classifying numbers in various ways all sorts of things you could do I want to look at finally in
this talk I wanted to look at assignment use of assignment in arithmetic expressions you can set
variables within these expressions and there are some other assignment operators available to you
if you do that so I've got things got my first example a group of examples is setting x equal to
and here's a base expression so one two hash two zero so that's the number two zero in base 12
and it's in an echo so echoing that back comes back to 24 so two zero to base 12 is decimal 24
and it's also set x to that value it's set it to it and also returned the value because there was an
echo then the next echo is x is echoing x star equals two so what that's saying in this assignment
is set x to the result of multiplying x by two which since it was 24 is 48 and x will now be 48
the final one do an echo all of these are in arithmetic expansion expressions which I'm not
reading at all the dollar princess business because I'm sure you're with me so the last one is x
percent equals five so that's a remainder type thing and it's saying set x to the remainder
of x divided by five which since it's 48 is three okay so I spelled this out in the in the notes
x is set to two zero base 12 and so on and so forth then the next example is demonstrating how
you can set things to binary values if you want to so I'm using b equals two hash one zero zero zero
so the if you put that into an echo then you get back eight because that's binary one followed
by zero three zeros is eight so that's one zero zero zero zero to the base two zero expressing it
then the next echo it uses b vertical bar equals that's that's using a bitwise or assignment so
what that means is b is it is to be set to itself or with the expression which is two hash one zero
which is one zero base two which is actually two so doing that you get the answer as being decimal
if you think about what that is in binary we started off with one zero zero zero we
ordered one zero into that so that turns that number into one zero one zero which is decimal
ten there isn't a simple way of printing binary numbers in batch unfortunately if you have
difficulty visualizing them you can use bc the bc program can display stuff to different
bases so I shown an example if you echo the result of if you echo the string ob a s e equals two
o base that means the output base the base to use for output in bc for all that with the semi
colon dollar b so that echo was a string in double quotes we could put a dollar b inside it
pipe that into bc so b remember had been turned into the value decimal ten and then we're asking
bc to print out the contents of b which is just substituted into the string using variable
substitution so what bc's is c's is ob a equals two semi colon ten sees that in decimal form
there was a way of feeding it with with other bases in fact but we're feeding it in decimal and
we've asked it to return its results in base two so we see as a response to that one zero one zero
so that's um that can be useful if you I used to work in binary quite a lot because I was uh
I did a quite a bit of machine code programming in my first job but um I have completely forgotten
I can I used to know that one zero one zero was uh was ten but I've just forgotten it just
fallen out of my head so if you're having similar difficulties remembering stuff then tricks
like this can be useful so I thought I'd include it so that's it for today um I thought I was going
to get further with this but if you if you've stuck with me through to the end of this then you
can see why I'm leaving it here because there's these these these things are a lot more detailed
than you think they're going to be okay that's it then see you next time bye
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