Rearranging Data.
rearrr
Rearrrange Data
Authors:Ludvig R. Olsen ( [email protected] )
License:MIT
Started: April 2020
Overview
R package for rearranging data by a set of methods.
We distinguish between rearrangers and mutators, where the first reorders the data points and the second changes the values of the data points.
When performing an operation relative to a point in an n-dimensional vector space, we refer to the point as the origin. If we, for instance, wish to rotate our data points around the point at x = 3
and y = 7
, those are the coordinates of our origin.
Install
CRAN (when available):
install.packages("rearrr")
Development version:
install.packages("devtools")
devtools::install_github("LudvigOlsen/rearrr")
Rearrangers
Function | Description |
---|---|
center_max() | Center the highest value with values decreasing around it. |
center_min() | Center the lowest value with values increasing around it. |
position_max() | Position the highest value with values decreasing around it. |
position_min() | Position the lowest value with values increasing around it. |
pair_extremes() | Arrange as lowest, highest, 2nd lowest, 2nd highest, etc. |
triplet_extremes() | Arrange as lowest, most middle, highest, 2nd lowest, 2nd most middle, 2nd highest, etc. |
closest_to() | Order values by shortest distance to an origin. |
furthest_from() | Order values by longest distance to an origin. |
rev_windows() | Reverse order window-wise. |
roll_elements() | Rolls/shifts positions of elements. |
shuffle_hierarchy() | Shuffle multi-column hierarchy of groups. |
Mutators
Function | Description | Dimensions |
---|---|---|
rotate_2d() , rotate_3d() | Rotate values around an origin in 2 or 3 dimensions. | 2 or 3 |
swirl_2d() , swirl_3d() | Swirl values around an origin in 2 or 3 dimensions. | 2 or 3 |
shear_2d() , shear_3d() | Shear values around an origin in 2 or 3 dimensions. | 2 or 3 |
expand_distances() | Expand distances to an origin. | n |
expand_distances_each() | Expand distances to an origin separately for each dimension. | n |
cluster_groups() | Move data points into clusters around group centroids. | n |
dim_values() | Dim values of a dimension by the distance to an n-dimensional origin. | n (alters 1) |
flip_values() | Flip the values around an origin. | n |
roll_values() | Shifts values and wraps to a range. | n |
wrap_to_range() | Wraps values to a range. | n |
transfer_centroids() | Transfer centroids from one data.frame to another. | n |
apply_transformation_matrix() | Apply transformation matrix to data.frame columns. | n |
Formers
Function | Description |
---|---|
circularize() | Create x-coordinates for y-coordinates so they form a circle. |
hexagonalize() | Create x-coordinates for y-coordinates so they form a hexagon. |
square() | Create x-coordinates for y-coordinates so they form a square. |
triangularize() | Create x-coordinates for y-coordinates so they form a triangle. |
Pipelines
Class | Description |
---|---|
Pipeline | Chain multiple transformations. |
GeneratedPipeline | Chain multiple transformations and generate argument values per group. |
FixedGroupsPipeline | Chain multiple transformations with different argument values per group. |
Generators
Function | Description |
---|---|
generate_clusters() | Generate n-dimensional clusters. |
Additionally, some functions have *_vec()
versions, that take and return a vector
.
Note: The available utility functions (like scalers, converters and measuring functions) are listed at the bottom of the readme.
Table of Contents
Attach packages
Let’s see some examples. We start by attaching the necessary packages:
library(rearrr)
library(dplyr)
xpectr::set_test_seed(1)
While we can use the functions with data.frames
, we showcase many of them with a vector
for simplicity. At times, we use the *_vec()
version of a function in order to get the output as a vector
instead of a data.frame
.
The functions work with grouped data.frames
and in magrittr
pipelines (%>%
).
Rearranger examples
Rearrangers change the order of the data points.
Center min/max
center_max(data = 1:10)
#> [1] 1 3 5 7 9 10 8 6 4 2
center_min(data = 1:10)
#> [1] 10 8 6 4 2 1 3 5 7 9
Position min/max
position_max(data = 1:10, position = 3)
#> [1] 6 8 10 9 7 5 4 3 2 1
position_min(data = 1:10, position = 3)
#> [1] 5 3 1 2 4 6 7 8 9 10
Pair extremes
pair_extremes(data = 1:10)
#> # A tibble: 10 × 2
#> Value .pair
#> <int> <fct>
#> 1 1 1
#> 2 10 1
#> 3 2 2
#> 4 9 2
#> 5 3 3
#> 6 8 3
#> 7 4 4
#> 8 7 4
#> 9 5 5
#> 10 6 5
Closest to / furthest from
We use the _vec()
versions to get the reordered vectors. For data.frames
, use closest_to()
/furthest_from()
instead.
The origin can be passed as either a specific coordinate (here, a value in data
) or a function.
closest_to_vec(data = 1:10, origin_fn = create_origin_fn(median))
#> [1] 5 6 4 7 3 8 2 9 1 10
furthest_from_vec(data = 1:10, origin = 5)
#> [1] 10 1 9 2 8 3 7 4 6 5
Reverse windows
We use the _vec()
version to get the reordered vector. For data.frames
, use rev_windows()
instead.
rev_windows_vec(data = 1:10, window_size = 3)
#> [1] 3 2 1 6 5 4 9 8 7 10
Shuffle Hierarchy
When having a data.frame
with multiple grouping columns, we can shuffle them one column (hierarchical level) at a time:
# Shuffle a given data frame 'df'
shuffle_hierarchy(df, group_cols = c("a", "b", "c"))
The columns are shuffled one at a time, as so:
Mutator examples
Mutators change the values of the data points.
Rotate values
2-dimensional rotation:
# Set seed for reproducibility
xpectr::set_test_seed(1)
# Draw random numbers
random_sample <- round(runif(10), digits = 4)
random_sample
#> [1] 0.2655 0.3721 0.5729 0.9082 0.2017 0.8984 0.9447 0.6608 0.6291 0.0618
rotate_2d(
data = random_sample,
degrees = 60,
origin_fn = centroid
)
#> # A tibble: 10 × 6
#> Index Value Index_rotated Value_rotated .origin .degrees
#> <int> <dbl> <dbl> <dbl> <list> <dbl>
#> 1 1 0.266 3.50 -3.49 <dbl [2]> 60
#> 2 2 0.372 3.91 -2.57 <dbl [2]> 60
#> 3 3 0.573 4.23 -1.60 <dbl [2]> 60
#> 4 4 0.908 4.44 -0.569 <dbl [2]> 60
#> 5 5 0.202 5.55 -0.0564 <dbl [2]> 60
#> 6 6 0.898 5.45 1.16 <dbl [2]> 60
#> 7 7 0.945 5.91 2.05 <dbl [2]> 60
#> 8 8 0.661 6.66 2.77 <dbl [2]> 60
#> 9 9 0.629 7.18 3.62 <dbl [2]> 60
#> 10 10 0.0618 8.17 4.20 <dbl [2]> 60
#> Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
#> ℹ Please use `linewidth` instead.
#> This warning is displayed once every 8 hours.
#> Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
#> generated.
3-dimensional rotation:
# Set seed
set.seed(3)
# Create a data frame
df <- data.frame(
"x" = 1:12,
"y" = c(1, 2, 3, 4, 9, 10, 11,
12, 15, 16, 17, 18),
"z" = runif(12)
)
# Perform rotation
rotate_3d(
data = df,
x_col = "x",
y_col = "y",
z_col = "z",
x_deg = 45,
y_deg = 90,
z_deg = 135,
origin_fn = centroid
)
#> # A tibble: 12 × 9
#> x y z x_rotated y_rotated z_rotated .origin .degrees .degrees_str
#> <int> <dbl> <dbl> <dbl> <dbl> <dbl> <list> <list> <chr>
#> 1 1 1 0.168 15.3 9.54 5.96 <dbl> <dbl> x=45,y=90,z…
#> 2 2 2 0.808 14.3 10.2 4.96 <dbl> <dbl> x=45,y=90,z…
#> 3 3 3 0.385 13.3 9.76 3.96 <dbl> <dbl> x=45,y=90,z…
#> 4 4 4 0.328 12.3 9.70 2.96 <dbl> <dbl> x=45,y=90,z…
#> 5 5 9 0.602 7.33 9.97 1.96 <dbl> <dbl> x=45,y=90,z…
#> 6 6 10 0.604 6.33 9.98 0.962 <dbl> <dbl> x=45,y=90,z…
#> 7 7 11 0.125 5.33 9.50 -0.0384 <dbl> <dbl> x=45,y=90,z…
#> 8 8 12 0.295 4.33 9.67 -1.04 <dbl> <dbl> x=45,y=90,z…
#> 9 9 15 0.578 1.33 9.95 -2.04 <dbl> <dbl> x=45,y=90,z…
#> 10 10 16 0.631 0.333 10.0 -3.04 <dbl> <dbl> x=45,y=90,z…
#> 11 11 17 0.512 -0.667 9.88 -4.04 <dbl> <dbl> x=45,y=90,z…
#> 12 12 18 0.505 -1.67 9.88 -5.04 <dbl> <dbl> x=45,y=90,z…
Swirl values
2-dimensional swirling:
# Rotate values
swirl_2d(data = rep(1, 50), radius = 95, origin = c(0, 0))
#> # A tibble: 50 × 7
#> Index Value Index_swirled Value_swirled .origin .degrees .radius
#> <int> <dbl> <dbl> <dbl> <list> <dbl> <dbl>
#> 1 1 1 0.952 1.05 <dbl [2]> 2.68 95
#> 2 2 1 1.92 1.15 <dbl [2]> 4.24 95
#> 3 3 1 2.88 1.31 <dbl [2]> 5.99 95
#> 4 4 1 3.83 1.53 <dbl [2]> 7.81 95
#> 5 5 1 4.76 1.82 <dbl [2]> 9.66 95
#> 6 6 1 5.68 2.18 <dbl [2]> 11.5 95
#> 7 7 1 6.58 2.59 <dbl [2]> 13.4 95
#> 8 8 1 7.45 3.07 <dbl [2]> 15.3 95
#> 9 9 1 8.30 3.61 <dbl [2]> 17.2 95
#> 10 10 1 9.13 4.21 <dbl [2]> 19.0 95
#> # ℹ 40 more rows
3-dimensional swirling:
# Set seed
set.seed(4)
# Create a data frame
df <- data.frame(
"x" = 1:50,
"y" = 1:50,
"z" = 1:50,
"r1" = runif(50),
"r2" = runif(50) * 35,
"o" = 1,
"g" = rep(1:5, each = 10)
)
# They see me swiiirling
swirl_3d(
data = df,
x_radius = 45,
x_col = "x",
y_col = "y",
z_col = "z",
origin = c(0, 0, 0),
keep_original = FALSE
)
#> # A tibble: 50 × 7
#> x_swirled y_swirled z_swirled .origin .degrees .radius .radius_str
#> <dbl> <dbl> <dbl> <list> <list> <list> <chr>
#> 1 1 0.872 1.11 <dbl [3]> <dbl [3]> <dbl [3]> x=45,y=0,z=0
#> 2 2 1.46 2.42 <dbl [3]> <dbl [3]> <dbl [3]> x=45,y=0,z=0
#> 3 3 1.74 3.87 <dbl [3]> <dbl [3]> <dbl [3]> x=45,y=0,z=0
#> 4 4 1.68 5.40 <dbl [3]> <dbl [3]> <dbl [3]> x=45,y=0,z=0
#> 5 5 1.27 6.96 <dbl [3]> <dbl [3]> <dbl [3]> x=45,y=0,z=0
#> 6 6 0.508 8.47 <dbl [3]> <dbl [3]> <dbl [3]> x=45,y=0,z=0
#> 7 7 -0.604 9.88 <dbl [3]> <dbl [3]> <dbl [3]> x=45,y=0,z=0
#> 8 8 -2.05 11.1 <dbl [3]> <dbl [3]> <dbl [3]> x=45,y=0,z=0
#> 9 9 -3.80 12.1 <dbl [3]> <dbl [3]> <dbl [3]> x=45,y=0,z=0
#> 10 10 -5.82 12.9 <dbl [3]> <dbl [3]> <dbl [3]> x=45,y=0,z=0
#> # ℹ 40 more rows
Expand distances
# 1d expansion
expand_distances(
data = random_sample,
multiplier = 3,
origin_fn = centroid,
exponentiate = TRUE
)
#> # A tibble: 10 × 4
#> Value Value_expanded .exponent .origin
#> <dbl> <dbl> <dbl> <list>
#> 1 0.266 -0.575 3 <dbl [1]>
#> 2 0.372 -0.0891 3 <dbl [1]>
#> 3 0.573 0.617 3 <dbl [1]>
#> 4 0.908 2.05 3 <dbl [1]>
#> 5 0.202 -0.908 3 <dbl [1]>
#> 6 0.898 1.99 3 <dbl [1]>
#> 7 0.945 2.26 3 <dbl [1]>
#> 8 0.661 0.916 3 <dbl [1]>
#> 9 0.629 0.803 3 <dbl [1]>
#> 10 0.0618 -1.75 3 <dbl [1]>
2d expansion:
Expand differently in each axis:
# Expand x-axis and contract y-axis
expand_distances_each(
data.frame("x" = runif(10),
"y" = runif(10)),
cols = c("x", "y"),
multipliers = c(7, 0.5),
origin_fn = centroid
)
#> # A tibble: 10 × 7
#> x y x_expanded y_expanded .multipliers .multipliers_str .origin
#> <dbl> <dbl> <dbl> <dbl> <list> <chr> <list>
#> 1 0.622 0.284 1.37 0.309 <dbl [2]> x=7,y=0.5 <dbl [2]>
#> 2 0.675 0.610 1.74 0.472 <dbl [2]> x=7,y=0.5 <dbl [2]>
#> 3 0.802 0.524 2.63 0.428 <dbl [2]> x=7,y=0.5 <dbl [2]>
#> 4 0.260 0.0517 -1.17 0.192 <dbl [2]> x=7,y=0.5 <dbl [2]>
#> 5 0.760 0.0757 2.33 0.204 <dbl [2]> x=7,y=0.5 <dbl [2]>
#> 6 0.0199 0.414 -2.85 0.373 <dbl [2]> x=7,y=0.5 <dbl [2]>
#> 7 0.955 0.578 3.70 0.455 <dbl [2]> x=7,y=0.5 <dbl [2]>
#> 8 0.437 0.110 0.0675 0.222 <dbl [2]> x=7,y=0.5 <dbl [2]>
#> 9 0.0892 0.511 -2.36 0.422 <dbl [2]> x=7,y=0.5 <dbl [2]>
#> 10 0.361 0.169 -0.466 0.251 <dbl [2]> x=7,y=0.5 <dbl [2]>
Cluster groups
# Set seed for reproducibility
xpectr::set_test_seed(3)
# Create data frame with random data and a grouping variable
df <- data.frame(
"x" = runif(50),
"y" = runif(50),
"g" = rep(c(1, 2, 3, 4, 5), each = 10)
)
cluster_groups(
data = df,
cols = c("x", "y"),
group_col = "g"
)
#> # A tibble: 50 × 5
#> x y x_clustered y_clustered g
#> <dbl> <dbl> <dbl> <dbl> <dbl>
#> 1 0.168 0.229 0.335 0.420 1
#> 2 0.808 0.213 0.449 0.417 1
#> 3 0.385 0.877 0.374 0.540 1
#> 4 0.328 0.993 0.364 0.562 1
#> 5 0.602 0.844 0.413 0.534 1
#> 6 0.604 0.910 0.413 0.547 1
#> 7 0.125 0.471 0.328 0.465 1
#> 8 0.295 0.224 0.358 0.419 1
#> 9 0.578 0.128 0.408 0.401 1
#> 10 0.631 0.280 0.418 0.429 1
#> # ℹ 40 more rows
Dim values
# Add a column with 1s
df_clustered$o <- 1
# Dim the "o" column based on the data point's distance
# to the most central point in the cluster
df_clustered %>%
dplyr::group_by(g) %>%
dim_values(
cols = c("x_clustered", "y_clustered"),
dim_col = "o",
origin_fn = most_centered
)
#> # A tibble: 50 × 6
#> x_clustered y_clustered g o o_dimmed .origin
#> <dbl> <dbl> <dbl> <dbl> <dbl> <list>
#> 1 0.335 0.420 1 1 0.853 <dbl [2]>
#> 2 0.449 0.417 1 1 0.936 <dbl [2]>
#> 3 0.374 0.540 1 1 0.798 <dbl [2]>
#> 4 0.364 0.562 1 1 0.765 <dbl [2]>
#> 5 0.413 0.534 1 1 0.819 <dbl [2]>
#> 6 0.413 0.547 1 1 0.801 <dbl [2]>
#> 7 0.328 0.465 1 1 0.831 <dbl [2]>
#> 8 0.358 0.419 1 1 0.889 <dbl [2]>
#> 9 0.408 0.401 1 1 0.943 <dbl [2]>
#> 10 0.418 0.429 1 1 1 <dbl [2]>
#> # ℹ 40 more rows
Flip values
# The median value to flip around
median(random_sample)
#> [1] 0.601
# Flip the random numbers around the median
flip_values(
data = random_sample,
origin_fn = create_origin_fn(median)
)
#> # A tibble: 10 × 3
#> Value Value_flipped .origin
#> <dbl> <dbl> <list>
#> 1 0.266 0.936 <dbl [1]>
#> 2 0.372 0.830 <dbl [1]>
#> 3 0.573 0.629 <dbl [1]>
#> 4 0.908 0.294 <dbl [1]>
#> 5 0.202 1.00 <dbl [1]>
#> 6 0.898 0.304 <dbl [1]>
#> 7 0.945 0.257 <dbl [1]>
#> 8 0.661 0.541 <dbl [1]>
#> 9 0.629 0.573 <dbl [1]>
#> 10 0.0618 1.14 <dbl [1]>
Forming examples
Circularize points
circularize(runif(200))
#> # A tibble: 200 × 4
#> Value .circle_x .degrees .origin
#> <dbl> <dbl> <dbl> <list>
#> 1 0.766 -0.418 148. <dbl [2]>
#> 2 0.682 0.461 21.3 <dbl [2]>
#> 3 0.209 -0.398 216. <dbl [2]>
#> 4 0.712 0.448 25.1 <dbl [2]>
#> 5 0.605 0.484 12.0 <dbl [2]>
#> 6 0.341 0.467 341. <dbl [2]>
#> 7 0.0412 -0.178 249. <dbl [2]>
#> 8 0.402 -0.484 192. <dbl [2]>
#> 9 0.0791 0.256 301. <dbl [2]>
#> 10 0.313 -0.457 203. <dbl [2]>
#> # ℹ 190 more rows
Hexagonalize points
hexagonalize(runif(200))
#> # A tibble: 200 × 3
#> Value .hexagon_x .edge
#> <dbl> <dbl> <fct>
#> 1 0.0983 -0.0945 4
#> 2 0.319 -0.413 5
#> 3 0.996 0.00215 1
#> 4 0.726 -0.413 5
#> 5 0.687 -0.413 5
#> 6 0.629 -0.413 5
#> 7 0.803 0.335 1
#> 8 0.543 0.413 2
#> 9 0.862 0.234 1
#> 10 0.984 -0.0222 6
#> # ℹ 190 more rows
Square points
square(runif(200))
#> # A tibble: 200 × 3
#> Value .square_x .edge
#> <dbl> <dbl> <fct>
#> 1 0.296 0.291 2
#> 2 0.231 0.225 2
#> 3 0.914 0.0854 1
#> 4 0.332 0.327 2
#> 5 0.556 -0.443 4
#> 6 0.582 -0.418 4
#> 7 0.217 0.212 2
#> 8 0.205 0.200 2
#> 9 0.970 0.0297 1
#> 10 0.801 -0.199 4
#> # ℹ 190 more rows
Triangularize points
triangularize(runif(200))
#> # A tibble: 200 × 3
#> Value .triangle_x .edge
#> <dbl> <dbl> <fct>
#> 1 0.00823 0 3
#> 2 0.986 0 3
#> 3 0.519 0.473 1
#> 4 0.662 0 3
#> 5 0.632 0.360 1
#> 6 0.734 0.258 1
#> 7 0.668 0 3
#> 8 0.642 0.350 1
#> 9 0.584 0.409 1
#> 10 0.741 0 3
#> # ℹ 190 more rows
Generators
Generate clusters
generate_clusters(
num_rows = 50,
num_cols = 5,
num_clusters = 5,
compactness = 1.6
)
#> # A tibble: 50 × 6
#> D1 D2 D3 D4 D5 .cluster
#> <dbl> <dbl> <dbl> <dbl> <dbl> <fct>
#> 1 0.316 0.553 0.523 0.202 0.653 1
#> 2 0.279 0.753 0.447 0.0774 0.788 1
#> 3 0.301 0.516 0.530 0.0541 0.842 1
#> 4 0.350 0.594 0.540 0.0701 0.922 1
#> 5 0.239 0.497 0.677 0.102 0.621 1
#> 6 0.264 0.632 0.670 0.0742 0.845 1
#> 7 0.273 0.589 0.696 0.0681 0.885 1
#> 8 0.273 0.592 0.559 0.0944 0.987 1
#> 9 0.336 0.569 0.618 0.212 0.670 1
#> 10 0.302 0.605 0.545 0.0601 0.938 1
#> # ℹ 40 more rows
Utilities
Converters
Function | Description |
---|---|
radians_to_degrees() | Converts radians to degrees. |
degrees_to_radians() | Converts degrees to radians. |
Scalers
Function | Description |
---|---|
min_max_scale() | Scale values to a range. |
to_unit_length() | Scale vectors to unit length row-wise or column-wise. |
Measuring functions
Function | Description |
---|---|
distance() | Calculates distance to an origin. |
angle() | Calculates angle between points and an origin. |
vector_length() | Calculates vector length/magnitude row-wise or column-wise. |
Helper functions
Function | Description |
---|---|
create_origin_fn() | Creates function for finding origin coordinates (like centroid() ). |
centroid() | Calculates the mean of each supplied vector/column. |
most_centered() | Finds coordinates of data point closest to the centroid. |
is_most_centered() | Indicates whether a data point is the most centered. |
midrange() | Calculates the midrange of each supplied vector/column. |
create_n_fn() | Creates function for finding the number of positions to move. |
median_index() | Calculates median index of each supplied vector. |
quantile_index() | Calculates quantile of indices for each supplied vector. |