Counting the number of elements with the values of x in a vector

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I have a vector of numbers:

numbers <- c(4,23,4,23,5,43,54,56,657,67,67,435,
         453,435,324,34,456,56,567,65,34,435)

How can I have R count the number of times a value x appears in the vector?

20 Answers

You can just use table():

> a <- table(numbers)
> a
numbers
  4   5  23  34  43  54  56  65  67 324 435 453 456 567 657 
  2   1   2   2   1   1   2   1   2   1   3   1   1   1   1 

Then you can subset it:

> a[names(a)==435]
435 
  3

Or convert it into a data.frame if you're more comfortable working with that:

> as.data.frame(table(numbers))
   numbers Freq
1        4    2
2        5    1
3       23    2
4       34    2
...

The most direct way is sum(numbers == x).

numbers == x creates a logical vector which is TRUE at every location that x occurs, and when suming, the logical vector is coerced to numeric which converts TRUE to 1 and FALSE to 0.

However, note that for floating point numbers it's better to use something like: sum(abs(numbers - x) < 1e-6).

I would probably do something like this

length(which(numbers==x))

But really, a better way is

table(numbers)

here's one fast and dirty way:

x <- 23
length(subset(numbers, numbers==x))

One option could be to use vec_count() function from the vctrs library:

vec_count(numbers)

   key count
1  435     3
2   67     2
3    4     2
4   34     2
5   56     2
6   23     2
7  456     1
8   43     1
9  453     1
10   5     1
11 657     1
12 324     1
13  54     1
14 567     1
15  65     1

The default ordering puts the most frequent values at top. If looking for sorting according keys (a table()-like output):

vec_count(numbers, sort = "key")

   key count
1    4     2
2    5     1
3   23     2
4   34     2
5   43     1
6   54     1
7   56     2
8   65     1
9   67     2
10 324     1
11 435     3
12 453     1
13 456     1
14 567     1
15 657     1

There are different ways of counting a specific elements

library(plyr)
numbers =c(4,23,4,23,5,43,54,56,657,67,67,435,453,435,7,65,34,435)

print(length(which(numbers==435)))

#Sum counts number of TRUE's in a vector 
print(sum(numbers==435))
print(sum(c(TRUE, FALSE, TRUE)))

#count is present in plyr library 
#o/p of count is a DataFrame, freq is 1 of the columns of data frame
print(count(numbers[numbers==435]))
print(count(numbers[numbers==435])[['freq']])

This is a very fast solution for one-dimensional atomic vectors. It relies on match(), so it is compatible with NA:

x <- c("a", NA, "a", "c", "a", "b", NA, "c")

fn <- function(x) {
  u <- unique.default(x)
  out <- list(x = u, freq = .Internal(tabulate(match(x, u), length(u))))
  class(out) <- "data.frame"
  attr(out, "row.names") <- seq_along(u)
  out
}

fn(x)

#>      x freq
#> 1    a    3
#> 2 <NA>    2
#> 3    c    2
#> 4    b    1

You could also tweak the algorithm so that it doesn't run unique().

fn2 <- function(x) {
  y <- match(x, x)
  out <- list(x = x, freq = .Internal(tabulate(y, length(x)))[y])
  class(out) <- "data.frame"
  attr(out, "row.names") <- seq_along(x)
  out
}

fn2(x)

#>      x freq
#> 1    a    3
#> 2 <NA>    2
#> 3    a    3
#> 4    c    2
#> 5    a    3
#> 6    b    1
#> 7 <NA>    2
#> 8    c    2

In cases where that output is desirable, you probably don't even need it to re-return the original vector, and the second column is probably all you need. You can get that in one line with the pipe:

match(x, x) %>% `[`(tabulate(.), .)

#> [1] 3 2 3 2 3 1 2 2

Base r solution in 2021

aggregate(numbers, list(num=numbers), length)

       num x
1        4 2
2        5 1
3       23 2
4       34 2
5       43 1
6       54 1
7       56 2
8       65 1
9       67 2
10     324 1
11     435 3
12     453 1
13     456 1
14     567 1
15     657 1

tapply(numbers, numbers, length)
  4   5  23  34  43  54  56  65  67 324 435 453 456 567 657 
  2   1   2   2   1   1   2   1   2   1   3   1   1   1   1 

by(numbers, list(num=numbers), length)
num: 4
[1] 2
-------------------------------------- 
num: 5
[1] 1
-------------------------------------- 
num: 23
[1] 2
-------------------------------------- 
num: 34
[1] 2
-------------------------------------- 
num: 43
[1] 1
-------------------------------------- 
num: 54
[1] 1
-------------------------------------- 
num: 56
[1] 2
-------------------------------------- 
num: 65
[1] 1
-------------------------------------- 
num: 67
[1] 2
-------------------------------------- 
num: 324
[1] 1
-------------------------------------- 
num: 435
[1] 3
-------------------------------------- 
num: 453
[1] 1
-------------------------------------- 
num: 456
[1] 1
-------------------------------------- 
num: 567
[1] 1
-------------------------------------- 
num: 657
[1] 1

A method that is relatively fast on long vectors and gives a convenient output is to use lengths(split(numbers, numbers)) (note the S at the end of lengths):

# Make some integer vectors of different sizes
set.seed(123)
x <- sample.int(1e3, 1e4, replace = TRUE)
xl <- sample.int(1e3, 1e6, replace = TRUE)
xxl <-sample.int(1e3, 1e7, replace = TRUE)

# Number of times each value appears in x:
a <- lengths(split(x,x))

# Number of times the value 64 appears:
a["64"]
#~ 64
#~ 15

# Occurences of the first 10 values
a[1:10]
#~ 1  2  3  4  5  6  7  8  9 10 
#~ 13 12  6 14 12  5 13 14 11 14 

The output is simply a named vector.
The speed appears comparable to rle proposed by JBecker and even a bit faster on very long vectors. Here is a microbenchmark in R 3.6.2 with some of the functions proposed:

library(microbenchmark)

f1 <- function(vec) lengths(split(vec,vec))
f2 <- function(vec) table(vec)
f3 <- function(vec) rle(sort(vec))
f4 <- function(vec) plyr::count(vec)

microbenchmark(split = f1(x),
               table = f2(x),
               rle = f3(x),
               plyr = f4(x))
#~ Unit: microseconds
#~   expr      min        lq      mean    median        uq      max neval  cld
#~  split  402.024  423.2445  492.3400  446.7695  484.3560 2970.107   100  b  
#~  table 1234.888 1290.0150 1378.8902 1333.2445 1382.2005 3203.332   100    d
#~    rle  227.685  238.3845  264.2269  245.7935  279.5435  378.514   100 a   
#~   plyr  758.866  793.0020  866.9325  843.2290  894.5620 2346.407   100   c 

microbenchmark(split = f1(xl),
               table = f2(xl),
               rle = f3(xl),
               plyr = f4(xl))
#~ Unit: milliseconds
#~   expr       min        lq      mean    median        uq       max neval cld
#~  split  21.96075  22.42355  26.39247  23.24847  24.60674  82.88853   100 ab 
#~  table 100.30543 104.05397 111.62963 105.54308 110.28732 168.27695   100   c
#~    rle  19.07365  20.64686  23.71367  21.30467  23.22815  78.67523   100 a  
#~   plyr  24.33968  25.21049  29.71205  26.50363  27.75960  92.02273   100  b 

microbenchmark(split = f1(xxl),
               table = f2(xxl),
               rle = f3(xxl),
               plyr = f4(xxl))
#~ Unit: milliseconds
#~   expr       min        lq      mean    median        uq       max neval  cld
#~  split  296.4496  310.9702  342.6766  332.5098  374.6485  421.1348   100 a   
#~  table 1151.4551 1239.9688 1283.8998 1288.0994 1323.1833 1385.3040   100    d
#~    rle  399.9442  430.8396  464.2605  471.4376  483.2439  555.9278   100   c 
#~   plyr  350.0607  373.1603  414.3596  425.1436  437.8395  506.0169   100  b  

Importantly, the only function that also counts the number of missing values NA is plyr::count. These can also be obtained separately using sum(is.na(vec))

Here is a way you could do it with dplyr:

library(tidyverse)

numbers <- c(4,23,4,23,5,43,54,56,657,67,67,435,
             453,435,324,34,456,56,567,65,34,435)
ord <- seq(1:(length(numbers)))

df <- data.frame(ord,numbers)

df <- df %>%
  count(numbers)

numbers     n
     <dbl> <int>
 1       4     2
 2       5     1
 3      23     2
 4      34     2
 5      43     1
 6      54     1
 7      56     2
 8      65     1
 9      67     2
10     324     1
11     435     3
12     453     1
13     456     1
14     567     1
15     657     1

This can be done with outer to get a metrix of equalities followed by rowSums, with an obvious meaning.
In order to have the counts and numbers in the same dataset, a data.frame is first created. This step is not needed if you want separate input and output.

df <- data.frame(No = numbers)
df$count <- rowSums(outer(df$No, df$No, FUN = `==`))

You can make a function to give you results.

# your list
numbers <- c(4,23,4,23,5,43,54,56,657,67,67,435,
         453,435,324,34,456,56,567,65,34,435)

function1<-function(x){
    if(x==value){return(1)}else{ return(0) }
}

# set your value here
value<-4

# make a vector which return 1 if it equal to your value, 0 else
vector<-sapply(numbers,function(x) function1(x))
sum(vector)

result: 2

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