Generate sequence between each element of 2 vectors - r

I have a for loop that generate each time 2 vectors of the same length (length can vary for each iteration) such as:
>aa
[1] 3 5
>bb
[1] 4 8
I want to create a sequence using each element of these vectors to obtain that:
>zz
[1] 3 4 5 6 7 8
Is there a function in R to create that?

We can use Mapto get the sequence of corresponding elements of 'aa' , 'bb'. The output is a list, so we unlist to get a vector.
unlist(Map(`:`, aa, bb))
#[1] 3 4 5 6 7 8
data
aa <- c(3,5)
bb <- c(4, 8)

One can obtain a sequence by using the colon operator : that separates the beginning of a sequence from its end. We can define such sequences for each vector, aa and bb, and concatenate the results with c() into a single series of numbers.
To avoid double entries in overlapping ranges we can use the unique() function:
zz <- unique(c(aa[1]:aa[length(aa)],bb[1]:bb[length(bb)]))
#> zz
#[1] 3 4 5 6 7 8
with
aa <- c(3,5)
bb <- c(4,8)

Depending on your desired output, here are a few more alternatives:
> do.call("seq",as.list(range(aa,bb)))
[1] 3 4 5 6 7 8
> Reduce(seq,range(aa,bb)) #all credit due to #BrodieG
[1] 3 4 5 6 7 8
> min(aa,bb):max(aa,bb)
[1] 3 4 5 6 7 8

Related

Vector recycling concept in R

I am trying to understand the working of vector recycling in R. I have 2 vectors
c(2,4,6)
and
c(1,2)
And I want to use the rep() to produce an output as follows:
[1] 2 4 6 4 8 12
based on what I understand from ?rep() is that there are times and each parameters which do the operations which I tried.
> rep(c(2,4,6), times=2)
[1] 2 4 6 2 4 6
But I also see the first vector is multiplied by the first element of the second vector and then to the second element of the second vector. Not sure how to proceed with it.
You can use:
rep(c(2,4,6), 2) * rep(c(1,2), each=3)
#[1] 2 4 6 4 8 12
or with auto recycling:
c(2,4,6) * rep(c(1,2), each=3)
#[1] 2 4 6 4 8 12
Alternative outer could be used:
c(outer(c(2,4,6), c(1,2)))
#[1] 2 4 6 4 8 12
Also crossprod could be used:
c(crossprod(t(c(2,4,6)), c(1,2)))
#[1] 2 4 6 4 8 12
Or %*%:
c(c(2,4,6) %*% t(c(1,2)))
#[1] 2 4 6 4 8 12

Create all possible combinations from two values for each element in a vector in R [duplicate]

This question already has answers here:
How to generate a matrix of combinations
(3 answers)
Closed 6 years ago.
I have been trying to create vectors where each element can take two different values present in two different vectors.
For example, if there are two vectors a and b, where a is c(6,2,9) and b is c(12,5,15) then the output should be 8 vectors given as follows,
6 2 9
6 2 15
6 5 9
6 5 15
12 2 9
12 2 15
12 5 9
12 5 15
The following piece of code works,
aa1 <- c(6,12)
aa2 <- c(2,5)
aa3 <- c(9,15)
for(a1 in 1:2)
for(a2 in 1:2)
for(a3 in 1:2)
{
v <- c(aa1[a1],aa2[a2],aa3[a3])
print(v)
}
But I was wondering if there was a simpler way to do this instead of writing several for loops which will also increase linearly with the number of elements the final vector will have.
expand.grid is a function that makes all combinations of whatever vectors you pass it, but in this case you need to rearrange your vectors so you have a pair of first elements, second elements, and third elements so the ultimate call is:
expand.grid(c(6, 12), c(2, 5), c(9, 15))
A quick way to rearrange the vectors in base R is Map, the multivariate version of lapply, with c() as the function:
a <- c(6, 2, 9)
b <- c(12, 5, 15)
Map(c, a, b)
## [[1]]
## [1] 6 12
##
## [[2]]
## [1] 2 5
##
## [[3]]
## [1] 9 15
Conveniently expand.grid is happy with either individual vectors or a list of vectors, so we can just call:
expand.grid(Map(c, a, b))
## Var1 Var2 Var3
## 1 6 2 9
## 2 12 2 9
## 3 6 5 9
## 4 12 5 9
## 5 6 2 15
## 6 12 2 15
## 7 6 5 15
## 8 12 5 15
If Map is confusing you, if you put a and b in a list, purrr::transpose will do the same thing, flipping from a list of two elements of length three to a list of three elements of length two:
library(purrr)
list(a, b) %>% transpose() %>% expand.grid()
and return the same thing.
I think what you're looking for is expand.grid.
a <- c(6,2,9)
b <- c(12,5,15)
expand.grid(a,b)
Var1 Var2
1 6 12
2 2 12
3 9 12
4 6 5
5 2 5
6 9 5
7 6 15
8 2 15
9 9 15

cumsum the opposite of diff in r

I have a question and I'm not sure if I'm being totally stupid here or if this is a genuine problem, or if I've misunderstood what these functions do.
Is the opposite of diff the same as cumsum? I thought it was. However, using this example:
dd <- c(17.32571,17.02498,16.71613,16.40615,
16.10242,15.78516,15.47813,15.19073,
14.95551,14.77397)
par(mfrow = c(1,2))
plot(dd)
plot(cumsum(diff(dd)))
> dd
[1] 17.32571 17.02498 16.71613 16.40615 16.10242 15.78516 15.47813 15.19073 14.95551
[10] 14.77397
> cumsum(diff(dd))
[1] -0.30073 -0.60958 -0.91956 -1.22329 -1.54055 -1.84758 -2.13498 -2.37020 -2.55174
These aren't the same. Where have I gone wrong?
AHHH! Fridays.
Obviously
The functions are quite different: diff(x) returns a vector of length (length(x)-1) which contains the difference between one element and the next in a vector x, while cumsum(x) returns a vector of length equal to the length of x containing the sum of the elements in x
Example:
x <- c(1:10)
#[1] 1 2 3 4 5 6 7 8 9 10
> diff(x)
#[1] 1 1 1 1 1 1 1 1 1
v <- cumsum(x)
> v
#[1] 1 3 6 10 15 21 28 36 45 55
The function cumsum() is the cumulative sum and therefore the entries of the vector v[i] that it returns are a result of all elements in x between x[1] and x[i]. In contrast, diff(x) only takes the difference between one element x[i] and the next, x[i+1].
The combination of cumsum and diff leads to different results, depending on the order in which the functions are executed:
> cumsum(diff(x))
# 1 2 3 4 5 6 7 8 9
Here the result is the cumulative sum of a sequence of nine "1". Note that if this result is compared with the original vector x, the last entry 10 is missing.
On the other hand, by calculating
> diff(cumsum(x))
# 2 3 4 5 6 7 8 9 10
one obtains a vector that is again similar to the original vector x, but now the first entry 1 is missing.
In none of the cases the original vector is restored, therefore it cannot be stated that cumsum() is the opposite or inverse function of diff()
You forgot to account for the impact of the first element
dd == c(dd[[1]], dd[[1]] + cumsum(diff(dd)))
#RHertel answered it well, stating that diff() returns a vector with length(x)-1.
Therefore, another simple workaround would be to add 0 to the beginning of the original vector so that diff() computes the difference between x[1] and 0.
> x <- 5:10
> x
#[1] 5 6 7 8 9 10
> diff(x)
#[1] 1 1 1 1 1
> diff(c(0,x))
#[1] 5 1 1 1 1 1
This way it is possible to use diff() with c() as a representation of the inverse of cumsum()
> cumsum(diff(c(0,x)))
#[1] 1 2 3 4 5 6 7 8 9 10
> diff(c(0,cumsum(x)))
#[1] 1 2 3 4 5 6 7 8 9 10
If you know the value of "lag" and "difference".
x<-5:10
y<-diff(x,lag=1,difference=1)
z<-diffinv(y,lag=1,differences = 1,xi=5) #xi is first value.
k<-as.data.frame(cbind(x,z))
k
x z
1 5 5
2 6 6
3 7 7
4 8 8
5 9 9
6 10 10

Convert a full length column to one variable in a row in R

I was wondering if it is possible to convert 1 column into 1 variable next to eachother
i.e.:
d <- data.frame(y = 1:10)
> d
y
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 10
Convert this column into:
> d
1 2 3 4 5 6 7 8 9 10
We don't know how are you going to use the numbers, but I think it is unnecessary to make any transformation. You can use d$y to get the numbers applied to any map of colors. See for example.
d <- data.frame(y = 1:7)
library(RColorBrewer)
mypalette<-brewer.pal(4,"Greens")
mycol <-palette()#rainbow(7)
heatmap(matrix(1:28,ncol=4),col=mypalette[d$y[1:4]],xlab="Greens (sequential)",
ylab="",xaxt="n",yaxt="n",bty="n",RowSideColors=mycol[d$y])
Not sure what is the prupose of:
1 variable next to eachother
But there are few ways to get the desired result (again, depends on the objective). You can do either:
d$y
unname(unlist(d)) #suggested by agstudy
or, better yet, to convert your dataframe's column into a vector, do this:
v <- as.vector(d[,1])
as string:
args <- paste(d$y, sep=" ")
args<-noquote(args)
now you'll have
[1] 1 2 3 4 5 6 7 8 9 10

Excel OFFSET function in r

I am trying to simulate the OFFSET function from Excel. I understand that this can be done for a single value but I would like to return a range. I'd like to return a group of values with an offset of 1 and a group size of 2. For example, on row 4, I would like to have a group with values of column a, rows 3 & 2. Sorry but I am stumped.
Is it possible to add this result to the data frame as another column using cbind or similar? Alternatively, could I use this in a vectorized function so I could sum or mean the result?
Mockup Example:
> df <- data.frame(a=1:10)
> df
a
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 10
> #PROCESS
> df
a b
1 1 NA
2 2 (1)
3 3 (1,2)
4 4 (2,3)
5 5 (3,4)
6 6 (4,5)
7 7 (5,6)
8 8 (6,7)
9 9 (7,8)
10 10 (8,9)
This should do the trick:
df$b1 <- c(rep(NA, 1), head(df$a, -1))
df$b2 <- c(rep(NA, 2), head(df$a, -2))
Note that the result will have to live in two columns, as columns in data frames only support simple data types. (Unless you want to resort to complex numbers.) head with a negative argument cuts the negated value of the argument from the tail, try head(1:10, -2). rep is repetition, c is concatenation. The <- assignment adds a new column if it's not there yet.
What Excel calls OFFSET is sometimes also referred to as lag.
EDIT: Following Greg Snow's comment, here's a version that's more elegant, but also more difficult to understand:
df <- cbind(df, as.data.frame((embed(c(NA, NA, df$a), 3))[,c(3,2)]))
Try it component by component to see how it works.
Do you want something like this?
> df <- data.frame(a=1:10)
> b=t(sapply(1:10, function(i) c(df$a[(i+2)%%10+1], df$a[(i+4)%%10+1])))
> s = sapply(1:10, function(i) sum(b[i,]))
> df = data.frame(df, b, s)
> df
a X1 X2 s
1 1 4 6 10
2 2 5 7 12
3 3 6 8 14
4 4 7 9 16
5 5 8 10 18
6 6 9 1 10
7 7 10 2 12
8 8 1 3 4
9 9 2 4 6
10 10 3 5 8

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