# Vectors and arrays¶

Beside functions and environments, most of the objects an R user is interacting with are vector-like. For example, this means that any scalar is in fact a vector of length one.

The class Vector has a constructor:

>>> x = robjects.Vector(3)


## Creating vectors¶

Creating vectors can be achieved either from R or from Python.

When the vectors are created from R, one should not worry much as they will be exposed as they should by rpy2.robjects.

When one wants to create a vector from Python, either the class Vector or the convenience classes IntVector, FloatVector, BoolVector, StrVector can be used.

Sequences of date or time points can be stored in POSIXlt or POSIXct objects. Both can be created from Python sequences of time.struct_time objects or from R objects.

New in version 2.2.0: Vectors for date or time points

### FactorVector¶

R’s factors are somewhat peculiar: they aim at representing a memory-efficient vector of labels, and in order to achieve it are implemented as vectors of integers to which are associated a (presumably shorter) vector of labels. Each integer represents the position of the label in the associated vector of labels.

For example, the following vector of labels

 a b a b b c

will become

 1 2 1 2 2 3

and

 a b c
>>> sv = ro.StrVector('ababbc')
>>> fac = ro.FactorVector(sv)
>>> print(fac)
 a b a b b c
Levels: a b c
>>> tuple(fac)
(1, 2, 1, 2, 2, 3)
>>> tuple(fac.levels)
('a', 'b', 'c')


Since a FactorVector is an IntVector with attached metadata (the levels), getting items Python-style was not changed from what happens when gettings items from a IntVector. A consequence to that is that information about the levels is then lost.

>>> item_i = 0
>>> fac[item_i]
1


Getting the level corresponding to an item requires using the levels,:

>>> fac.levels[fac[item_i] - 1]
'a'


Warning

Do not forget to subtract one to the value in the FactorVector. Indexing in Python starts at zero while indexing R starts at one, and recovering the level for an item requires an adjustment between the two.

When extracting elements from a FactorVector a sensible default might be to use R-style extracting (see Extracting items), as it preserves the integer/string duality.

## Extracting items¶

Extracting elements of sequence/vector can become a thorny issue as Python and R differ on a number of points (index numbers starting at zero / starting at one, negative index number meaning index from the end / everything except, names cannot / can be used for subsettting).

In order to solve this, the Python way and the R way were made available through two different routes.

### Extracting, Python-style¶

The python __getitem__() method behaves like a Python user would expect it for a vector (and indexing starts at zero).

>>> x = robjects.r.seq(1, 5)
>>> tuple(x)
(1, 2, 3, 4, 5)
>>> x.names = robjects.StrVector('abcde')
>>> print(x)
a b c d e
1 2 3 4 5
>>> x
1
>>> x
5
>>> x[-1]
5


### Extracting, R-style¶

Access to R-style extracting/subsetting is granted though the two delegators rx and rx2, representing the R functions [ and [[ respectively.

In short, R-style extracting has the following characteristics:

• indexing starts at one
• the argument to subset on can be a vector of
• integers (negative integers meaning exlusion of the elements)
• booleans
• strings (whenever the vector has names for its elements)
>>> print(x.rx(1))
 1
>>> print(x.rx('a'))
a
1


R can extract several elements at once:

>>> i = robjects.IntVector((1, 3))
>>> print(x.rx(i))
 1 3
>>> b = robjects.BoolVector((False, True, False, True, True))
>>> print(x.rx(b))
 2 4 5


When a boolean extract vector is of smaller length than the vector, is expanded as necessary (this is know in R as the recycling rule):

>>> print(x.rx(True))
1:5
>>> b = robjects.BoolVector((False, True))
>>> print(x.rx(b))
 2 4


In R, negative indices are understood as element exclusion.

>>> print(x.rx(-1))
2:5
>>> i = robjects.IntVector((-1, -3))
>>> print(x.rx(i))
 2 4 5


That last example could also be written:

>>> i = - robjects.IntVector((1, 3)).ro
>>> print(x.rx(i))
 2 4 5


This extraction system is quite expressive, as it allows a very simple writting of very common tasks in data analysis such as reordering and random sampling.

>>> from rpy2.robjects.packages import importr
>>> base = importr('base')
>>> x = robjects.IntVector((5,3,2,1,4))
>>> o_i = base.order(x)
>>> print(x.rx(o_i))
 1 2 3 4 5
>>> rnd_i = base.sample(x)
>>> x_resampled = x.rx(o_i)


R operators are vector operations, with the operator applyied to each element in the vector. This can be used to build extraction indexes.

>>> i = x.ro > 3 # extract values > 3
>>> i = (x.ro >= 2 ).ro & (x.ro <= 4) # extract values between 2 and 4


(More on R operators in Section Operators).

R/S also have particularities, in which some see consistency issues. For example although the indexing starts at 1, indexing on 0 does not return an index out of bounds error but a vector of length 0:

>>> print(x.rx(0))
integer(0)


## Assigning items¶

### Assigning, Python-style¶

Since vectors are exposed as Python mutable sequences, the assignment works as for regular Python lists.

>>> x = robjects.IntVector((1,2,3))
>>> print(x)
 1 2 3
>>> x = 9
>>> print(x)
 9 2 3


In R vectors can be named, that is elements of the vector have a name. This is notably the case for R lists. Assigning based on names can be made easily by using the method Vector.index(), as shown below.

>>> x = robjects.ListVector({'a': 1, 'b': 2, 'c': 3})
>>> x[x.names.index('b')] = 9


Note

Vector.index() has a complexity linear in the length of the vector’s length; this should be remembered if performance issues are met.

### Assigning, R-style¶

Differences between the two languages require few adaptations, and in appearance complexify a little the task. Should other Python-based systems for the representation of (mostly numerical) data structure, such a numpy be preferred, one will be encouraged to expose our rpy2 R objects through those structures.

The attributes rx and rx2 used previously can again be used:

>>> x = robjects.IntVector(range(1, 4))
>>> print(x)
 1 2 3
>>> x.rx = 9
>>> print(x)
 9 2 3


For the sake of complete compatibility with R, arguments can be named (and passed as a dict or rpy2.rlike.container.TaggedList).

>>> x = robjects.ListVector({'a': 1, 'b': 2, 'c': 3})
>>> x.rx2[{'i': x.names.index('b')}] = 9


## Missing values¶

Anyone with experience in the analysis of real data knows that some of the data might be missing. In S/Splus/R special NA values can be used in a data vector to indicate that fact, and rpy2.robjects makes aliases for those available as data objects NA_Logical, NA_Real, NA_Integer, NA_Character, NA_Complex.

>>> x = robjects.IntVector(range(3))
>>> x = robjects.NA_Integer
>>> print(x)
 NA  1  2


The translation of NA types is done at the item level, returning a pointer to the corresponding NA singleton class.

>>> x is robjects.NA_Integer
True
>>> x == robjects.NA_Integer
True
>>> [y for y in x if y is not robjects.NA_Integer]
[1, 2]


Note

NA_Logical is the alias for R’s NA.

Note

The NA objects are imported from the corresponding rpy2.rinterface objects.

## Operators¶

Mathematical operations on two vectors: the following operations are performed element-wise in R, recycling the shortest vector if, and as much as, necessary.

To expose that to Python, a delegating attribute ro is provided for vector-like objects.

Python R
+ +
- -
* *
/ /
** ** or ^
or |
and &
< <
<= <=
== ==
!= !=
>>> x = robjects.r.seq(1, 10)
>>> print(x.ro + 1)
2:11


Note

In Python, using the operator + on two sequences concatenates them and this behavior has been conserved:

>>> print(x + 1)
  1  2  3  4  5  6  7  8  9 10  1


Note

The boolean operator not cannot be redefined in Python (at least up to version 2.5), and its behavior could not be made to mimic R’s behavior

## Names¶

R vectors can have a name given to all or some of the elements. The property names can be used to get, or set, those names.

>>> x = robjects.r.seq(1, 5)
>>> x.names = robjects.StrVector('abcde')
>>> x.names
'a'
>>> x.names = 'z'
>>> tuple(x.names)
('z', 'b', 'c', 'd', 'e')


## Array¶

In R, arrays are simply vectors with a dimension attribute. That fact was reflected in the class hierarchy with robjects.Array inheriting from robjects.Vector.

## Matrix¶

A Matrix is a special case of Array. As with arrays, one must remember that this is just a vector with dimension attributes (number of rows, number of columns).

>>> m = robjects.r.matrix(robjects.IntVector(range(10)), nrow=5)
>>> print(m)
[,1] [,2]
[1,]    0    5
[2,]    1    6
[3,]    2    7
[4,]    3    8
[5,]    4    9


Note

In R, matrices are column-major ordered, although the constructor matrix() accepts a boolean argument byrow that, when true, will build the matrix as if row-major ordered.

### Computing on matrices¶

Regular operators work element-wise on the underlying vector.

>>> m = robjects.r.matrix(robjects.IntVector(range(4)), nrow=2)
>>> print(m.ro + 1)
[,1] [,2]
[1,]    1    3
[2,]    2    4


For more on operators, see Operators.

Matrix multiplication is available as Matrix.dot(), transposition as Matrix.transpose(). Common operations such as cross-product, eigen values computation , and singular value decomposition are also available through method with explicit names.

>>> print( m.crossprod(m) )
[,1] [,2]
[1,]    1    3
[2,]    3   13
>>> print( m.transpose().dot(m) )
[,1] [,2]
[1,]    1    3
[2,]    3   13


### Extracting¶

Extracting can still be performed Python-style or R-style.

>>> m = ro.r.matrix(ro.IntVector(range(2, 8)), nrow=3)
>>> print(m)
[,1] [,2]
[1,]    2    5
[2,]    3    6
[3,]    4    7
>>> m
2
>>> m
7
>>> print(m.rx(1))
 2
>>> print(m.rx(6))
 7


Matrixes are two-dimensional arrays, and elements can be extracted according to two indexes:

>>> print(m.rx(1, 1))
 2
>>> print(m.rx(3, 2))
 7


Extracting a whole row, or column can be achieved by replacing an index number by True or False

Extract the first column:

>>> print(m.rx(True, 1))


Extract the second row:

>>> print(m.rx(2, True))


## DataFrame¶

Data frames are a common way in R to represent the data to analyze.

A data frame can be thought of as a tabular representation of data, with one variable per column, and one data point per row. Each column is an R vector, which implies one type for all elements in one given column, and which allows for possibly different types across different columns.

If we consider for example tre data about pharmacokinetics of theophylline in different subjects, the data table could look like this:

Subject Weight Dose Time conc
1 79.6 4.02 0.00 0.74
1 79.6 4.02 0.25 2.84
1 79.6 4.02 0.57 6.57
2 72.4 4.40 7.03 5.40

Such data representation shares similarities with a table in a relational database: the structure between the variables, or columns, is given by other column. In the example above, the grouping of measures by subject is given by the column Subject.

In rpy2.robjects, DataFrame represents the R class data.frame.

### Creating objects¶

Creating a DataFrame can be done by:

• Using the constructor for the class
• Create the data.frame through R
• Read data from a file using the instance method from_csvfile()

The DataFrame constructor accepts either an rinterface.SexpVector (with typeof equal to VECSXP, that is, an R list) or any Python object implementing the method items() (for example dict or rpy2.rlike.container.OrdDict).

Empty data.frame:

>>> dataf = robjects.DataFrame({})


data.frame with 2 two columns (not that the order of the columns in the resulting DataFrame can be different from the order in which they are declared):

>>> d = {'a': robjects.IntVector((1,2,3)), 'b': robjects.IntVector((4,5,6))}
>>> dataf = robject.DataFrame(d)


To create a DataFrame and be certain of the clumn order order, an ordered dictionary can be used:

>>> import rpy2.rlike.container as rlc
>>> od = rlc.OrdDict([('value', robjects.IntVector((1,2,3))),
('letter', robjects.StrVector(('x', 'y', 'z')))])
>>> dataf = robjects.DataFrame(od)
>>> print(dataf.colnames)
 "letter" "value"


Creating the data.frame in R can otherwise be achieved in numerous ways, as many R functions do return a data.frame, such as the function data.frame().

Note

When creating a DataFrame, vectors of strings are automatically converted by R into instances of class Factor. This behavior can be prevented by wrapping the call into the R base function I.

from rpy2.robjects.vectors import DataFrame, StrVector
from rpy2.robjects.packages import importr
base = importr('base')
dataf = DataFrame({'string': base.I(StrVector('abbab')),
'factor': StrVector('abbab')})


Here the DataFrame dataf now has two columns, one as a Factor, the other one as a StrVector

>>> dataf.rx2('string')
<StrVector - Python:0x95fe5ec / R:0x9646ea0>
>>> dataf.rx2('factor')
<FactorVector - Python:0x95fe86c / R:0x9028138>


### Extracting elements¶

Here again, Python’s __getitem__() will work as a Python programmer will expect it to:

>>> len(dataf)
2
>>> dataf
<Vector - Python:0x8a58c2c / R:0x8e7dd08>


The DataFrame is composed of columns, with each column being possibly of a different type:

>>> [column.rclass for column in dataf]
['factor', 'integer']


Using R-style access to elements is a little richer, with the rx2 accessor taking more importance than earlier.

Like with Python’s __getitem__() above, extracting on one index selects columns:

>>> dataf.rx(1)
<DataFrame - Python:0x8a584ac / R:0x95a6fb8>
>>> print(dataf.rx(1))
letter
1      x
2      y
3      z


Note that the result is itself of class DataFrame. To get the column as a vector, use rx2:

>>> dataf.rx2(1)
<Vector - Python:0x8a4bfcc / R:0x8e7dd08>
>>> print(dataf.rx2(1))
 x y z
Levels: x y z


Since data frames are table-like structure, they can be thought of as two-dimensional arrays and can therefore be extracted on two indices.

>>> subdataf = dataf.rx(1, True)
>>> print(subdataf)
letter value
1      x     1
>>> rows_i <- robjects.IntVector((1,3))
>>> subdataf = dataf.rx(rows_i, True)
>>> print(subdataf)
letter value
1      x     1
3      z     3


That last example is extremely common in R. A vector of indices, here rows_i, is used to take a subset of the DataFrame.