FAO- Global Soil
Partnership
Training on
Digital Soil Organic Carbon
Mapping
20-24 January 2018
Tehran/Iran
Yusuf YIGINI, PhD - FAO, Land and Water Division (CBL)
Guillermo Federico Olmedo, PhD - FAO, Land and Water Division (CBL)
We first introduce the idea of 'objects' and do
some very simple calculations using expressions.
The first session focuses and learns the basics.More
complicated analyses in the later sessions.
NOTE: R is case-sensitive!
R as a Calculator
> 6 + 98
[1] 104
> 90 * 44
[1] 3960
> 36 / 2
[1] 18
> 33 - 30
[1] 3
The most basic use of R is to use it as a simple calculator.
For example, enter:
R as a Calculator
> 1:40
[1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
[18] 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
[35] 35 36 37 38 39 40
You should see the result of the calculation as well as [1].
The [1] means first result. In this example it is the only
result. Other commands return multiple values. For
example, we can create a simple vector of values from 1
to 40 using:
R as a Calculator
> 3 * 5
[1] 15
> 3 - 8
[1] -5
> 12 / 4
[1] 3
> 23 + 34
[1] 57
Most of R commands deal with vectors and it is one of its
strengths - We shall see more of them soon.
Of course, R has all the basic mathematical operators. *
is used for multiplication, + for addition, / is for division, -
is for subtraction.
R Basics
> 3*5
> 3 * 5
> 3 * 5
R doesn't care about 'white space'.
White space is to separate variable names
R Basics
> 12 * 56 + 34
[1] 706
> 12 * (56 + 34)
[1] 1080
The order of precedence is standard and can be
controlled using parenthesis.
For example,
R Basics
> 3^2
[1] 9
> 12 %% 3
[1] 0
> 10 %% 3
[1] 1
> 10 %/% 3
[1] 3
You may use the symbol "^" to denote exponentiation 'little
hat'.We can also calculate the remainder, or modular, using
%%: Notice that the operators %% and %/% for integer
remainder and divide have higher precedence than multiply
and divide:
R Basics
> 1e2
[1] 100
> 1e3
[1] 1000
> 1e5
[1] 1e+05
Scientific notation is dealt with using e.
Exercise (10 mins)
1- Calculate square root of 765
2- Compute the volume of a sphere with radius 5:
the volume of a sphere is 4/3 times pi times the radius to
the third power
R Basics
> q()
Quitting from R, RStudio
To close R and quit you can either:
press ctrl + q
or type q()
> q
R Basics
Either way you probably get the option to save your
'workspace' (this can be turned off in the global options). The
workspace is a recording place for all your operations and
saved outputs.
If you save it the workspace will be automatically loaded next
time you start RStudio ( this can be disabled). Note that q()
has parenthesis. () it means that q is a FUNCTION .
If you just typed q you get the code for the function.
R Basics
Input value (known as 'arguments') for the
function goes between the parenthesis.
For example, to take the natural logarithm of a
value, you can use the log() function.
> log(10)
> log(100)
> log(340)
R Basics
> ?log
> log()
Error: argument "x" is missing, with no default
>
You can call the help content by using the question mark. Let's
look at the help page for the log() function.
The log() function expects at least one argument. If you don't
give it one, R returns an error (argument "x" is missing, with no
default):
R BasicsLots of other mathematical operations are available too, e.g.
exp(), sqrt(), tan() etc.
Operator Description Example
x + y y added to x 2 + 3 = 5
x – y y subtracted from x 8 – 2 = 6
x * y x multiplied by y 3 * 2 = 6
x / y x divided by y 10 / 5 = 2
x ^ y (or x ** y) x raised to the power y 2 ^ 5 = 32
x %% y remainder of x divided by y (x mod y)7 %% 3 = 1
x %/% y x divided by y but rounded down (integer divide) 7 %/% 3
= 2
pi is just pi :)
> pi
Trigonometric Functions
These functions give the obvious trigonometric functions.
They respectively compute the cosine, sine, tangent,
arc-cosine, arc-sine, arc-tangent, and the two-argument
arctangent.
So, you may want to try to calculate the cosine of an
angle of 120 degrees like this:
> cos(120)
[1] 0.814181
Trigonometric Functions
> cos(120)
[1] 0.814181
This code doesn’t give you the correct result,
however, because R always works with
angles in radians, not in degrees. Pay
attention to this fact; if you forget, the
resulting bugs may bite you hard!
R Basics
There are also some special values to be aware of:
Missing value indicator!
In R, missing values are represented by the symbol NA (Not
Available).
Impossible values (e.g., dividing by zero) are represented by
the symbol NaN (not a number). Unlike SAS, R uses the same
symbol for character and numeric data.
> 0/0
[1] NaN
> 4/0
[1] Inf
R Basics - NA
NA Can be very common when reading in your data.
It is important to note that NA does not mean 0!
Also, NAs propagate through calculations, for example:
> 3 + NA
[1] NA
R Basics
Incomplete commands!
If a command is incomplete, for example you don't' close a
parenthesis, R lets you know by displaying +:
+ missing bracket, eval=FALSE
> (2 + 3) * (3 + 1
+ )
[1] 20
Recording your work: working with scripts
Working with scripts is sometimes easier than typing stuff on the
console screen. It means you can reuse old scripts or borrow someone
else's.
It could also make your work reproducible. Writing a script is easy.
Instead of typing your R code on the console window, you can type your
code into the script editor window and save it (.R).
You can create a new script by clicking the button or through the File
menu - (try!).
Instead of typing directly into the console window, type it into the
source editor. You can then send lines of code to the console for
execution in RStudio (click on the button , or ctrl-enter).
> 5 * 4
We're still using R as a calculator only now it is a reproducible
calculator. You can save your script and use it again later (through
the File menu or use ctrl-s key combination).
You can save your script with *.R (e.g. my_code.R).
Comments begin with #. In computer programming, a comment is a
programmer-readable explanation or annotation in the source code of
a computer program.
They are added with the purpose of making the source code easier
for humans to understand, and are generally ignored by compilers
and interpreters.
Anything after # on the line is ignored and skipped by R.
R Basics - Commenting
Up to now we haven't been storing the results of our calculations, just
showing them to the screen.Storing things means we can reuse them later
on, allowing us to build up complex calculations.R stores everything as
an 'object'.Here we create an object called 'interest' for future use.
It stores the compound interest rate based on a 5% per year rate and a
30 year period.
> interest <- 1.05 ^ 30
R Basics - Objects
A couple of things to mention here:
1. In RStudio, in the Global Environment window, 'interest' has
appeared with a value equal to 1.09^30.
2. We used the 'assignment' operator <- to create the 'interest'
object and assign it a value.
Using '=' instead of '<-' is also supported.
Using <- implies an action rather than a relation.
We now have an object called 'interest'.
We can get at an object by typing the name.
R Basics - Objects
> interest
Some notes about naming:
R is case sensitive - interest is not the
same as Interest.
> Interest <- 10
> Interest
> interest
R Basics
You can include number and the . and _ symbols in the name.
# Names cannot start with Numbers..
#+ error name, eval=FALSE
> 30.interest <- 1.09 ^ 30
# Symbols may be used.
> .interest <- 1.09 ^ 30
A lot of guidance can be found about naming conventions
(capitals, underscores etc). Try to give your objects sensible
names that describe what they are! Someone else can understand
what they are.
R Basics
#### 15 minute exercise ####
An individual takes out a loan of value L at a monthly interest rate i.
The loan is to be paid back in n monthly installments of size M
where:
M = L *(i / (1 - (1+i)^-n))
Write some code to calculate the repayments, M.
1. Create objects for L, i and n (give them appropriate names).
2. Calculate M and store it in a new object.
Use these values:
The principal amount, L, is 1500.
The interest rate, i, is 0.01 (1%).
The number of payments, n, is 10.
What are the repayments if number of payments
increases to 20?
Objects of different types
So far the objects we have created have stored a single numerical
value.
e.g.
> interest
But we can do more than that. Objects can also be: vectors e.g.
1:11, matrices, arrays, lists, data.frames, characters,
functions...
For example:
> name <- "Table"
> name = "Table"
Use " or '
>name <- 'Table'
> name = 'Table'
> name
You can also change the type of an object.
> x <- "cake"
> x <- 10
> x
R is not 'strongly typed' meaning you can mix some types. However,
mixing some types can throw errors:
> name * 10
Error in name * 10 : non-numeric argument to binary operator
R Basics
How to check the object type?
Use the is() or class() functions:
> class(interest)
> is(interest)
Note that interest is a vector even though it only has one value.
Vectors are ubiquitous in R and one of the reasons that R is so
useful
R Basics
Boolean logic: TRUE or FALSE. Boolean data type is a data type with only
two possible values: true or false.
> 4 > 3
> 4 < 3
> 5 <= 9
Note that to test for equality you use two '=', '=='.
If you just one, then you perform an assignment
> x <- 3
> x == 4
> x = 4
> x
# All Boolean operators: AND (&), OR (|), NOT (!=) etc. are available.
> TRUE & TRUE
> TRUE | TRUE
> TRUE != TRUE
The use of logic becomes more obvious when we start using vectors and
data.frames.
We can see all the objects in the workspace by using ls().
> ls()
It has () so it's a function.
You can also use:
> objects()
R Basics
End of Session Exercises
Write an R script to perform the following
calculations:
1. Calculate the following and store the result
in an object: 1e6 * log(10) + (95 * 37.2)
2. Use R to calculate the sine and
cosine of pi / 3 and store the result
End of Session Exercises
3. Calculate the remainder after
dividing 56879 into 984325749
End of Session Exercises
4. The equation to calculate the
volume of a circular cone is V = pi *
radius^2 * height / 3. What is the
volume of a cone with a radius of 10
m and a height of 30 m?
End of Session Exercises
5. Write an equality test to see if
'wine' equals 'beer'.
End of Session Exercises