Count number of values which are less than current value - r

Question

I'd like to count the rows in the column input if the values are smaller than the current row (Please see the results wanted below). The issue to me is that the condition is based on current row value, so it is very different from general case where the condition is a fixed number.
data <- data.frame(input = c(1,1,1,1,2,2,3,5,5,5,5,6))
input
1 1
2 1
3 1
4 1
5 2
6 2
7 3
8 5
9 5
10 5
11 5
12 6
The results I expect to get are like this. For example, for observations 5 and 6 (with value 2), there are 4 observations with value 1 less than their value 2. Hence count is given value 4.
input count
1 1 0
2 1 0
3 1 0
4 1 0
5 2 4
6 2 4
7 3 6
8 5 7
9 5 7
10 5 7
11 5 7
12 6 11
Edit: as I am dealing with grouped data with dplyr, the ultimate results I wish to get is like below, that is, I am wishing the conditions could be dynamic within each group.
data <- data.frame(id = c(1,1,2,2,2,3,3,4,4,4,4,4),
input = c(1,1,1,1,2,2,3,5,5,5,5,6),
count=c(0,0,0,0,2,0,1,0,0,0,0,4))
id input count
1 1 1 0
2 1 1 0
3 2 1 0
4 2 1 0
5 2 2 2
6 3 2 0
7 3 3 1
8 4 5 0
9 4 5 0
10 4 5 0
11 4 5 0
12 4 6 4

Answer 1

Here is an option with tidyverse
library(tidyverse)
data %>%
mutate(count = map_int(input, ~ sum(.x > input)))
# input count
#1 1 0
#2 1 0
#3 1 0
#4 1 0
#5 2 4
#6 2 4
#7 3 6
#8 5 7
#9 5 7
#10 5 7
#11 5 7
#12 6 11
Update
With the updated data, add the group by 'id' in the above code
data %>%
group_by(id) %>%
mutate(count1 = map_int(input, ~ sum(.x > input)))
# A tibble: 12 x 4
# Groups: id [4]
# id input count count1
# <dbl> <dbl> <dbl> <int>
# 1 1 1 0 0
# 2 1 1 0 0
# 3 2 1 0 0
# 4 2 1 0 0
# 5 2 2 2 2
# 6 3 2 0 0
# 7 3 3 1 1
# 8 4 5 0 0
# 9 4 5 0 0
#10 4 5 0 0
#11 4 5 0 0
#12 4 6 4 4

Answer 2

In base R, we can use sapply and for each input count how many values are greater than itself.
data$count <- sapply(data$input, function(x) sum(x > data$input))
data
# input count
#1 1 0
#2 1 0
#3 1 0
#4 1 0
#5 2 4
#6 2 4
#7 3 6
#8 5 7
#9 5 7
#10 5 7
#11 5 7
#12 6 11
With dplyr one way would be using rowwise function and following the same logic.
library(dplyr)
data %>%
rowwise() %>%
mutate(count = sum(input > data$input))

Answer 3

1. outer and rowSums
data$count <- with(data, rowSums(outer(input, input, `>`)))
2. table and cumsum
tt <- cumsum(table(data$input))
v <- setNames(c(0, head(tt, -1)), c(head(names(tt), -1), tail(names(tt), 1)))
data$count <- v[match(data$input, names(v))]
3. data.table non-equi join
Perhaps more efficient with a non-equi join in data.table. Count number of rows (.N) for each match (by = .EACHI).
library(data.table)
setDT(data)
data[data, on = .(input < input), .N, by = .EACHI]
If your data is grouped by 'id', as in your update, join on that variable as well:
data[data, on = .(id, input < input), .N, by = .EACHI]
# id input N
# 1: 1 1 0
# 2: 1 1 0
# 3: 2 1 0
# 4: 2 1 0
# 5: 2 2 2
# 6: 3 2 0
# 7: 3 3 1
# 8: 4 5 0
# 9: 4 5 0
# 10: 4 5 0
# 11: 4 5 0
# 12: 4 6 4