├── .gitignore
├── .travis.yml
├── LICENSE
├── Makefile
├── README.md
├── compile.sh
├── pkg
├── DESCRIPTION
├── NAMESPACE
├── NEWS
├── R
│ ├── gower-pkg.R
│ └── gower.R
├── inst
│ └── tinytest
│ │ ├── test_gh_issue_18.R
│ │ ├── test_gh_issue_8.R
│ │ └── test_gower.R
├── src
│ ├── Makevars
│ ├── R_register_native.c
│ └── gower.c
├── tests
│ └── tinytest.R
└── vignettes
│ └── intro.Rnw
└── vignettes.sh
/.gitignore:
--------------------------------------------------------------------------------
1 |
2 | pkg/man
3 | pkg/src/*.so
4 | pkg/src/*.o
5 | pkg/vignettes/*.html
6 |
7 |
8 | output/*
9 |
10 | .Rproj.user
11 | *.Rproj
12 |
13 |
14 |
15 |
--------------------------------------------------------------------------------
/.travis.yml:
--------------------------------------------------------------------------------
1 |
2 | # travis config
3 |
4 | sudo: required
5 | language: r
6 |
7 |
8 | addons:
9 | apt:
10 | packages:
11 | - libxml2-dev
12 |
13 | r:
14 | - release
15 |
16 |
17 |
18 | before_install:
19 | - R -e "install.packages(c('devtools','roxygen2','testthat'))"
20 | - R -e "devtools::install_deps('./pkg')"
21 | - R -e "devtools::load_all('./pkg'); devtools::document('./pkg')"
22 | - cd ./pkg
23 |
24 | r_packages:
25 | - covr
26 | - rmarkdown
27 |
28 |
29 | after_success:
30 | - Rscript -e 'library(covr);coveralls()'
31 |
32 | notifications:
33 | email:
34 | on_success: change
35 | on_failure: change
36 |
37 |
38 |
--------------------------------------------------------------------------------
/LICENSE:
--------------------------------------------------------------------------------
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653 | notice like this when it starts in an interactive mode:
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667 | .
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669 | The GNU General Public License does not permit incorporating your program
670 | into proprietary programs. If your program is a subroutine library, you
671 | may consider it more useful to permit linking proprietary applications with
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673 | Public License instead of this License. But first, please read
674 | .
675 |
--------------------------------------------------------------------------------
/Makefile:
--------------------------------------------------------------------------------
1 |
2 | doc:
3 | R -s -e "pkgload::load_all('pkg');roxygen2::roxygenize('pkg')"
4 |
5 | pkg: doc
6 | R CMD build pkg
7 |
8 | install: pkg
9 | R CMD INSTALL *.tar.gz
10 |
11 | check: doc
12 | R CMD build pkg
13 | R CMD check *.tar.gz
14 |
15 | cran: doc
16 | R CMD build pkg
17 | R CMD check --as-cran *.tar.gz
18 |
19 | test: doc
20 | R -s -e "tinytest::build_install_test('pkg')"
21 |
22 | manual: doc
23 | R CMD Rd2pdf --force -o manual.pdf ./pkg
24 |
25 | revdep: pkg
26 | rm -rf revdep
27 | mkdir revdep
28 | mv *.tar.gz revdep
29 | R -s -e "out <- tools::check_packages_in_dir('revdep',reverse=list(which='most'),Ncpus=3); print(summary(out)); saveRDS(out, file='revdep/output.RDS')"
30 |
31 | clean:
32 | rm -rf stringdist.Rcheck
33 | rm -rf revdep
34 | rm -f *.tar.gz
35 |
36 |
37 |
--------------------------------------------------------------------------------
/README.md:
--------------------------------------------------------------------------------
1 |
2 | [](https://travis-ci.org/markvanderloo/gower)
3 | [](https://coveralls.io/r/markvanderloo/gower)
4 | [](https://CRAN.R-project.org/package=gower)
5 | [](https://CRAN.R-project.org/package=gower)
6 | [](http://cran.r-project.org/package=gower)
7 |
8 |
9 | ### gower
10 |
11 | Gower's distance for R. Based in C, using openMP for parallelization.
12 |
13 | ### Usage
14 |
15 | ```
16 | library(gower)
17 | reviris <- iris[rev(seq_len(nrow(iris))),,drop=FALSE]
18 | # compute distances
19 | d <- gower_dist(iris, reviris)
20 |
21 | # data.frame with less records is recycled
22 | d <- gower_dist(iris[1:3,,drop=FALSE], reviris)
23 |
24 | # compute top-n matches
25 | mat <- gower_topn(iris, reviris, n=5)
26 |
27 | ## mat$index : Array of indices (sorted from better to worse match)
28 | ## mat$distance: Array of distances (sorted from small to large)
29 |
30 | ```
31 |
32 | More info in the [vignette](https://cran.r-project.org/web/packages/gower/vignettes/intro.pdf)
33 |
34 |
35 | ### Installation
36 |
37 | #### From CRAN
38 |
39 | ```
40 | install.packages("gower")
41 | ```
42 |
43 |
44 | #### Beta versions
45 |
46 | Made available through my drat repo.
47 |
48 | First, install the [drat](https://cran.r-project.org/package=drat) package. Users of the OS who's name shall not be mentioned need to install [Rtools](https://cran.r-project.org/bin/windows/Rtools/) first.
49 | ```
50 | if(!require(drat)) install.packages('drat')
51 | drat::addRepo('markvanderloo')
52 | install.packages('gower',type='source')
53 |
54 | ```
55 |
56 |
57 | ### Reference
58 |
59 | Gower (1971) A general coefficient of similarity and some of its properties. _Biometrics_ **27** 857-874 [pdf](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.412.4155&rep=rep1&type=pdf)
60 |
--------------------------------------------------------------------------------
/compile.sh:
--------------------------------------------------------------------------------
1 | #!/bin/bash
2 |
3 | cd pkg/src
4 | rm --verbose *.o *.so
5 | gcc -std=gnu99 -I/usr/share/R/include -DNDEBUG -fpic -fopenmp -O2 -Wall -pipe -g -c -Wstrict-prototypes *.c
6 | #gcc -std=gnu99 -I/usr/share/R/include -DNDEBUG -fpic -O2 -Wall -pipe -g -c *.c
7 | gcc -std=gnu99 -shared -o gower.so *.o -L/usr/lib/R/lib -lR
8 | cd ../../
9 |
10 |
--------------------------------------------------------------------------------
/pkg/DESCRIPTION:
--------------------------------------------------------------------------------
1 | Package: gower
2 | Maintainer: Mark van der Loo
3 | License: GPL-3
4 | Title: Gower's Distance
5 | LazyData: no
6 | Type: Package
7 | LazyLoad: yes
8 | Authors@R: c( person("Mark", "van der Loo", role=c("aut","cre"),email="mark.vanderloo@gmail.com")
9 | , person("David", "Turner", role="ctb"))
10 | Description: Compute Gower's distance (or similarity) coefficient between records. Compute
11 | the top-n matches between records. Core algorithms are executed in parallel on systems
12 | supporting OpenMP.
13 | Version: 1.0.2
14 | URL: https://github.com/markvanderloo/gower
15 | BugReports: https://github.com/markvanderloo/gower/issues
16 | Suggests:
17 | tinytest (>= 0.9.3),
18 | RoxygenNote: 7.3.2
19 |
--------------------------------------------------------------------------------
/pkg/NAMESPACE:
--------------------------------------------------------------------------------
1 | # Generated by roxygen2: do not edit by hand
2 |
3 | export(gower_dist)
4 | export(gower_topn)
5 | useDynLib(gower, .registration=TRUE)
6 |
--------------------------------------------------------------------------------
/pkg/NEWS:
--------------------------------------------------------------------------------
1 | version 1.0.2
2 | - Improved sanity checking on input data frames (Thanks to Brian Ripley for
3 | pointing this out)
4 |
5 | version 1.0.1
6 | - Updated compiled code to new compiler prototype warnings.
7 |
8 | version 1.0.0
9 | - Fix: for integer vectors, the output would in some cases depend
10 | on the order of the input. (Thanks to Tobias Rockel for reporting).
11 |
12 | version 0.2.2
13 | - Fix: for small numbers of records and high number of threads, the output
14 | would depend on 'nthreads'. (Thanks to Matt Austin for reporing). Gower
15 | now only paralellizes when more than 1000 records are presented.
16 |
17 | version 0.2.1
18 | - moved test framework to 'tinytest'
19 |
20 | version 0.2.0
21 | - gower_dist and gower_topn gain `weight` argument for weighted matching (thanks to David Turner)
22 | - gower_dist and gower_topn gain `ignore_case` argument for automatic column matching.
23 | - gower_dist now returns numeric(0) invisibly when there are no columns to compare.
24 | - gower_topn now returns a list with empty matrices when there are no columns to compare.
25 | - gower_topn now warns when n>nrow(y) and sets n=nrow(y)
26 | - bugfix: comparing factors with characters would cause a crash (thanks to Max Kuhn)
27 |
28 | version 0.1.2
29 | - fixed valgrind warning
30 | - registered native routines, as now recommended by CRAN
31 |
32 | version 0.1.1
33 | - gower_dist now issues warning when nr of rows on input do not divide (recycling)
34 | - Code now depends on gcc version for compatability with Windows + R<=3.2.x
35 | - Bugfix: bad range calculation caused faulty distance computation
36 |
37 | version 0.1.0
38 | - First release
39 |
40 |
--------------------------------------------------------------------------------
/pkg/R/gower-pkg.R:
--------------------------------------------------------------------------------
1 | #' Gower's distance/similarity measure.
2 | #'
3 | #' A C-based implementation of Gower's distance.
4 | #'
5 | #' @name gower-package
6 | #' @docType package
7 | #' @useDynLib gower, .registration=TRUE
8 | #'
9 | "_PACKAGE"
10 |
11 |
12 | .onLoad <- function(libname, pkgname){
13 | max_threads <- 1L
14 | max_threads <- .Call("R_get_max_threads",PACKAGE="gower")
15 | thread_limit <- .Call("R_get_thread_limit",PACKAGE="gower")
16 | max_threads <- min(max_threads, thread_limit)
17 | # leave one core for the user to control the machine.
18 | if (max_threads > 2) max_threads <- max_threads - 1L
19 | options(gd_num_thread = as.integer(max_threads))
20 | }
21 |
--------------------------------------------------------------------------------
/pkg/R/gower.R:
--------------------------------------------------------------------------------
1 |
2 | #' Gower's distance
3 | #'
4 | #' Compute Gower's distance, pairwise between records in two data sets \code{x}
5 | #' and \code{y}. Records from the smallest data set are recycled over.
6 | #'
7 | #' @section Details:
8 | #' There are three ways to specify which columns of \code{x} should be compared
9 | #' with what columns of \code{y}. The first option is do give no specification.
10 | #' In that case columns with matching names will be used. The second option
11 | #' is to use only the \code{pairs_y} argument, specifying for each column in \code{x}
12 | #' in order, which column in \code{y} must be used to pair it with (use \code{0}
13 | #' to skip a column in \code{x}). The third option is to explicitly specify the
14 | #' columns to be matched using \code{pair_x} and \code{pair_y}.
15 | #'
16 | #'
17 | #' @section Note:
18 | #' Gower (1971) originally defined a similarity measure (\eqn{s}, say)
19 | #' with values ranging from 0 (completely dissimilar) to 1 (completely similar).
20 | #' The distance returned here equals \eqn{1-s}.
21 | #'
22 | #'
23 | #' @param x \code{[data.frame]}
24 | #' @param y \code{[data.frame]}
25 | #' @param pair_x \code{[numeric|character] (optional)} Columns in \code{x} used for comparison.
26 | #' See Details below.
27 | #' @param pair_y \code{[numeric|character] (optional)} Columns in \code{y} used for comparison.
28 | #' See Details below.
29 | #' @param eps \code{[numeric] (optional)} Computed numbers (variable ranges)
30 | #' smaller than \code{eps} are treated as zero.
31 | #' @param weights \code{[numeric] (optional)} A vector of weights of length \code{ncol(x)}
32 | #' that defines the weight applied to each component of the gower distance.
33 | #' @param ignore_case \code{[logical]} Toggle ignore case when neither \code{pair_x}
34 | #' nor \code{pair_y} are user-defined.
35 | #' @param nthread Number of threads to use for parallelization. By default,
36 | #' for a dual-core machine, 2 threads are used. For any other machine
37 | #' n-1 cores are used so your machine doesn't freeze during a big computation.
38 | #' The maximum nr of threads are determined using \code{omp_get_max_threads} at C level.
39 | #'
40 | #'
41 | #' @return
42 | #' A \code{numeric} vector of length \code{max(nrow(x),nrow(y))}.
43 | #' When there are no columns to compare, a message is printed and both
44 | #' \code{numeric(0)} is returned invisibly.
45 | #'
46 | #' @seealso \code{\link{gower_topn}}
47 | #'
48 | #' @references
49 | #' Gower, John C. "A general coefficient of similarity and some of its
50 | #' properties." Biometrics (1971): 857-871.
51 | #'
52 | #' @export
53 | gower_dist <- function(x, y, pair_x=NULL, pair_y=NULL, eps = 1e-8, weights=NULL,
54 | ignore_case=FALSE, nthread=getOption("gd_num_thread")){
55 | check_recycling(nrow(x),nrow(y))
56 |
57 | gower_work(x=x,y=y,pair_x=pair_x,pair_y=pair_y
58 | , n=NULL, eps=eps, weights=weights, ignore_case=ignore_case, nthread=nthread)
59 | }
60 |
61 | #' Find the top-n matches
62 | #'
63 | #' @description
64 | #'
65 | #' Find the top-n matches in \code{y} for each record in \code{x}.
66 | #'
67 | #' @inheritParams gower_dist
68 | #' @param n The top-n indices and distances to return.
69 | #'
70 | #' @seealso \code{\link{gower_dist}}
71 | #'
72 | #' @return
73 | #' A \code{list} with two array elements: \code{index}
74 | #' and \code{distance}. Both have size \code{n X nrow(x)}. Each ith column
75 | #' corresponds to the top-n best matches of \code{x} with rows in \code{y}.
76 | #' When there are no columns to compare, a message is printed and both
77 | #' \code{distance} and \code{index} will be empty matrices; the list is
78 | #' then returned invisibly.
79 | #'
80 | #' @examples
81 | #' # find the top 4 best matches in the iris data set with itself.
82 | #' x <- iris[1:3,]
83 | #' lookup <- iris[1:10,]
84 | #' gower_topn(x=x,y=lookup,n=4)
85 | #'
86 | #'
87 | #' @export
88 | gower_topn <- function(x, y, pair_x=NULL, pair_y = NULL, n=5, eps=1e-8, weights = NULL,
89 | ignore_case=FALSE, nthread=getOption("gd_num_thread")){
90 | gower_work(x=x,y=y,pair_x=pair_x,pair_y=pair_y
91 | , n=n, eps=eps, weights=weights, ignore_case=ignore_case, nthread=nthread)
92 | }
93 |
94 |
95 |
96 | gower_work <- function(x, y, pair_x, pair_y, n, eps, weights, ignore_case, nthread){
97 | stopifnot(is.numeric(eps), eps>0, nrow(x)>0, nrow(y)>0,ncol(x)>0,ncol(y)>0)
98 |
99 | if (max(nrow(x), nrow(y)) <= 1000) nthread <- 1L
100 |
101 | if (is.null(pair_x) & is.null(pair_y)){
102 | xnames <- if(ignore_case) toupper(names(x)) else names(x)
103 | ynames <- if(ignore_case) toupper(names(y)) else names(y)
104 | pair <- match(xnames, ynames, nomatch = 0L)
105 | } else if (is.null(pair_x)){
106 | pair <- pair_y
107 | } else {
108 | if (is.character(pair_x) & is.character(pair_y)){
109 | m <- match(names(x),pair_x,nomatch=0)
110 | pair_x <- pair_x[m]
111 | pair_y <- pair_y[m]
112 | }
113 | pair <- numeric(ncol(x))
114 | pair[pair_x] <- pair_y
115 | }
116 | if ( !any(pair > 0) ){
117 | message("Nothing to compare")
118 | return( if (is.null(n)){ # gower_dist
119 | invisible(numeric(0))
120 | } else { # gower_topn
121 | invisible(list(distance=matrix(0)[0,0],index=matrix(0L)[0,0]))
122 | }
123 | )
124 | }
125 |
126 |
127 | if ( !is.null(weights) && ( any( weights < 0 ) || !all(is.finite(weights)) ) ){
128 | stop("At least one element of 'weights' is not a finite nonnegative number"
129 | , call. = FALSE)
130 | }
131 | if ( !is.null(weights) && length(weights) < length(pair) ){
132 | msg <- sprintf("%d weights specified, expected %d"
133 | , length(weights), length(pair))
134 | stop(msg, call. = FALSE)
135 | }
136 | # If the user didn't pass any weights, then weight all components of the
137 | # distance equally.
138 | if (is.null(weights))
139 | weights <- rep(1, ncol(x))
140 |
141 | # check column classes
142 |
143 | nthread <- as.integer(nthread)
144 | ranges <- numeric(length(pair))
145 | for ( i in seq_along(pair)){
146 | if (pair[i] == 0 ) next
147 | ranges[i] <- .Call("R_get_xy_range",x[[i]],y[[pair[i]]],nthread,PACKAGE="gower")
148 | }
149 |
150 | factor_x <- sapply(x,is.factor)
151 | factor_y <- sapply(y,is.factor)
152 |
153 | for ( i in seq_along(pair) ){
154 | if ( pair[i] == 0 ) next
155 | iy <- pair[i]
156 | if (!factor_x[i] & !factor_y[iy]) next
157 |
158 | if ( factor_x[i] && !factor_y[iy] ){
159 | stop("Column ", i, " of x is of class factor while matching column "
160 | , pair[i]," of y is of class ", class(y[[iy]]) )
161 | }
162 | if ( !factor_x[i] && factor_y[iy] ){
163 | stop("Column ", i, " of x is of class ", class(x[[i]]), " while matching column "
164 | , pair[i]," of y is of class factor" )
165 | }
166 | if (factor_x[i] && factor_y[iy]){
167 | if ( !isTRUE( all.equal( levels(x[[i]]), levels(y[[iy]]) ) ) ){
168 | stop("Levels in column ", i, " of x do not match those of column ",
169 | pair[i], " in y.")
170 |
171 | }
172 | }
173 | }
174 |
175 |
176 | factor_pair <- as.integer(factor_x)
177 |
178 | eps <- as.double(eps)
179 | # translate to C-indices (base-0).
180 | pair <- as.integer(pair-1L)
181 | if (is.null(n)){
182 | .Call("R_gower", x, y , ranges, pair, factor_pair, eps, weights, nthread, PACKAGE="gower")
183 |
184 | } else {
185 | L <- .Call("R_gower_topn", x, y, ranges, pair, factor_pair, as.integer(n), eps, weights, nthread, PACKAGE="gower")
186 | names(L) <- c("index","distance")
187 | dim(L$index) <- c(n,nrow(x))
188 | dim(L$distance) <- dim(L$index)
189 | dimnames(L$index) <- list(topn=NULL,row=NULL)
190 | dimnames(L$distance) <- dimnames(L$index)
191 | L
192 | }
193 |
194 | }
195 |
196 | RECYCLEWARNING <- tryCatch(1:3+1:2,warning=function(e) e$message)
197 |
198 | check_recycling <- function(nx,ny){
199 | mx <- max(nx,ny)
200 | mn <- min(nx,ny)
201 | if ((mx %% mn) != 0) warning(RECYCLEWARNING, call.=FALSE)
202 | }
203 |
204 |
205 |
206 |
207 |
208 |
209 |
210 |
211 |
--------------------------------------------------------------------------------
/pkg/inst/tinytest/test_gh_issue_18.R:
--------------------------------------------------------------------------------
1 | df <- data.frame(X = c(4L, 0L, 10L))
2 | obj <- data.frame(X = 5L)
3 |
4 | d1 <- gower_dist(obj, df)
5 |
6 | df2 <- df[c(2,3,1),,drop=FALSE]
7 | d2 <- gower_dist(obj, df2)
8 |
9 | expect_equal(d1,d2[c(3,1,2)])
10 |
11 |
12 |
--------------------------------------------------------------------------------
/pkg/inst/tinytest/test_gh_issue_8.R:
--------------------------------------------------------------------------------
1 |
2 | if (at_home()){
3 | dat1 <- iris[1:10,1:5,drop=FALSE]
4 | dat2 <- iris[6:15,1:5,drop=FALSE]
5 |
6 | nthrd1 <- gower_dist(dat1, dat2, nthread=1)
7 | nthrd2 <- gower_dist(dat1, dat2, nthread=2)
8 | nthrd4 <- gower_dist(dat1, dat2, nthread=4)
9 | nthrd7 <- gower_dist(dat1, dat2, nthread=7)
10 |
11 | expect_equal(nthrd1, nthrd2)
12 | expect_equal(nthrd1, nthrd4)
13 | expect_equal(nthrd1, nthrd7)
14 |
15 |
16 | # now with large numbers of records
17 | dat1 <- iris[rep(1:10,200),1:5,drop=FALSE]
18 | dat2 <- iris[rep(6:15,200),1:5,drop=FALSE]
19 |
20 | nthrd1 <- gower_dist(dat1, dat2, nthread=1)
21 | nthrd2 <- gower_dist(dat1, dat2, nthread=2)
22 | nthrd4 <- gower_dist(dat1, dat2, nthread=4)
23 | nthrd7 <- gower_dist(dat1, dat2, nthread=7)
24 |
25 | expect_equal(nthrd1, nthrd2)
26 | expect_equal(nthrd1, nthrd4)
27 | expect_equal(nthrd1, nthrd7)
28 | }
29 |
30 |
31 |
32 |
--------------------------------------------------------------------------------
/pkg/inst/tinytest/test_gower.R:
--------------------------------------------------------------------------------
1 |
2 |
3 | expect_error(gower_topn(iris[0,], iris))
4 | expect_error(gower_topn(iris,iris[0,]))
5 | expect_error(gower_topn(iris[,0], iris))
6 | expect_error(gower_topn(iris,iris[,0]))
7 |
8 |
9 | ## distance between logicals
10 | dL <- expand.grid(c(TRUE,FALSE),c(TRUE,FALSE))
11 | x = data.frame(x=dL[,1])
12 | y = data.frame(x=dL[,2])
13 | expect_equal(c(0,1,1,NaN), gower_dist(x = x,y = y))
14 |
15 |
16 | ## distance between factor variables
17 | bands <- c("Grand Magus","Skull Fist")
18 | dF <- expand.grid(bands,bands)
19 | expect_equal(gower_dist(data.frame(x=dF[,1]),data.frame(x=dF[,2])),c(0,1,1,0))
20 |
21 | ## distance between numerical variables
22 | dN <- data.frame(x = as.numeric(1:4),y=as.numeric(c(1,1,2,3)))
23 | expect_equal(gower_dist(data.frame(x=dN[,1]),data.frame(x=dN[,2])),c(0,1/3,1/3,1/3))
24 |
25 | ## distance between character variables
26 | dC <- data.frame(x=letters[1:3],y=letters[3:1],stringsAsFactors=FALSE)
27 | expect_equal(gower_dist(
28 | data.frame(x=dC[,1],stringsAsFactors=FALSE)
29 | , data.frame(x=dC[,2],stringsAsFactors=FALSE)),c(1,0,1))
30 |
31 |
32 |
33 | ## multivariate dataset
34 | bands <- c("Grand Magus","Skull Fist")
35 | dL <- expand.grid(c(TRUE,FALSE),c(TRUE,FALSE))
36 | dN <- data.frame(x = as.numeric(1:4),y=as.numeric(c(1,1,2,3)))
37 | dF <- expand.grid(bands,bands)
38 | dM1 <- data.frame(x=dL[,1],y=dF[,1],z=dN[,1])
39 | dM2 <- data.frame(x=dL[,2],y=dF[,2],z=dN[,2])
40 | expect_equal(gower_dist(x=dM1,y=dM2), c(0,7/9,7/9,1/6))
41 | # check symmetry
42 | expect_equal(gower_dist(dM1,dM2),gower_dist(dM2,dM1))
43 | # not counting NA's in the denominator
44 | dM1[array(c(2,3,4,1,2,3),dim=c(3,2))] <- NA
45 | expect_equal(gower_dist(dM1,dM2), c(0,3/4,3/4,0))
46 | #auto-matching columns
47 | expect_equivalent(gower_dist(women, women[1]),rep(0,nrow(women)))
48 |
49 |
50 |
51 | ## ignoring column name cases",{
52 | dat1 <- iris[1:6,]
53 | dat2 <- iris[1:6,]
54 | names(dat2) <- tolower(names(dat2))
55 | expect_equal(gower_dist(dat1, dat2, ignore_case=TRUE),rep(0,6))
56 |
57 |
58 | ## recycling
59 | expect_equal(length(gower_dist(x=iris[1,],y=iris)), nrow(iris))
60 | expect_equal(length(gower_dist(x=iris,y=iris[1,])), nrow(iris))
61 | expect_equal(length(gower_dist(x=iris[1:3,],y=iris)), nrow(iris))
62 | expect_equal(length(gower_dist(x=iris,y=iris[1:3,])), nrow(iris))
63 |
64 |
65 |
66 | ## weights
67 | expect_error(gower_topn(women, women, weights=-(1:4)))
68 | expect_error(gower_dist(women, women, weights=c(NA,1:3)))
69 |
70 | d1 <- women[1,]
71 | d2 <- women[2,]
72 | w <- c(1,2)
73 | r <- sapply(women, function(x) abs(diff(range(x))))
74 |
75 | d12 <- (w[1]*abs(d1[1,1]-d2[1,1])/r[1] + w[2]*abs(d1[1,2]-d2[1,2])/r[2])/sum(w)
76 | wom2 <- women
77 | wom2[1:2,] <- wom2[2:1,]
78 | expect_equivalent(gower_dist(women,wom2, weights=w)[1], d12)
79 |
80 |
81 | ## edge cases and exceptions
82 | expect_warning(gower_dist(
83 | x = data.frame(x=c(1.2,1.2,1.2))
84 | , y = data.frame(x=c(1.2,1.2,1.2))
85 | ))
86 | expect_warning(gower_dist(
87 | x = data.frame(x=c(1.2,1.2,1.2))
88 | , y = data.frame(x=c(1.2,1.2,1.3))
89 | , eps=0.2
90 | ))
91 |
92 | expect_warning(gower_dist(data.frame(x=rep(1,100)), data.frame(x=1,100)))
93 |
94 |
95 | expect_error(gower_dist(
96 | data.frame(a = letters[1:3], stringsAsFactors = TRUE),
97 | data.frame(a = letters[2:4], stringsAsFactors = TRUE)
98 | ))
99 | expect_error(gower_dist(
100 | data.frame(a = letters[1:3], stringsAsFactors = FALSE),
101 | data.frame(a = letters[2:4], stringsAsFactors = TRUE)
102 | ))
103 |
104 | suppressMessages(out <- gower_dist(data.frame(x=1:3), data.frame(y=1:3) ))
105 | expect_true(identical(out,numeric(0)))
106 |
107 | suppressMessages(out <- gower_topn(data.frame(x=1:3),data.frame(y=1:3)) )
108 | expect_true( identical(out$distance, matrix(0)[0,0]) )
109 | expect_true( identical(out$index, matrix(0L)[0,0]) )
110 |
111 |
112 |
113 |
114 |
115 | ## Top-n
116 |
117 | ## gower_topn
118 | d1 <- iris[1:3,]
119 | d2 <- iris[1:7,]
120 | L <- gower_topn(d1,d2,n=4)
121 | expect_equal(length(L),2)
122 | expect_equal(dim(L[[1]]),c(4,3))
123 | expect_equal(dim(L[[1]]),dim(L[[2]]))
124 | expect_equal(L[[1]][1,],1:3)
125 | expect_equal(L[[2]][1,],rep(0,3))
126 |
127 | # case where n exceeds nr of records in the lookup table.
128 | L <- gower_topn(d1,d2,n=8)
129 | expect_equal(L[[1]][8,],rep(0,3))
130 | expect_equal(L[[2]][8,],rep(Inf,3))
131 |
132 |
133 |
134 |
135 | ## just to get code-coverage right
136 | dat1 <- data.frame(
137 | x = as.factor(sample(letters,2000,replace=TRUE))
138 | ,y = sample(LETTERS,2000,replace=TRUE)
139 | ,z = as.integer(1:2000)
140 | ,w = sample(c(TRUE,FALSE),2000,replace=TRUE)
141 | , stringsAsFactors=FALSE
142 | )
143 | i <- sample(2000)
144 | dat2 <- dat1[i,]
145 | gower_dist(dat1,dat2)
146 |
147 |
148 |
149 | ## warning on recycling
150 | expect_warning(gower_dist(iris[1:3,],iris[1:2,]))
151 | expect_warning(gower_dist(iris[1:2,],iris[1:3,]))
152 |
153 |
154 | ## regression tests
155 |
156 | ## topn w/n=1"
157 | dat <- data.frame(x = c(NA,2,4,5), y = c(6,7,NA,10))
158 | L <- gower_topn(dat[c(1,3),],dat[c(2,4),],n=1)
159 | expect_equivalent(as.vector(L$index),c(1,2))
160 |
161 |
162 |
163 |
164 |
165 |
166 |
167 |
--------------------------------------------------------------------------------
/pkg/src/Makevars:
--------------------------------------------------------------------------------
1 |
2 | PKG_CFLAGS = $(SHLIB_OPENMP_CFLAGS)
3 | PKG_LIBS = $(SHLIB_OPENMP_CFLAGS)
4 |
5 |
--------------------------------------------------------------------------------
/pkg/src/R_register_native.c:
--------------------------------------------------------------------------------
1 | #include
2 | #include
3 | #include // for NULL
4 | #include
5 |
6 | /* FIXME:
7 | Check these declarations against the C/Fortran source code.
8 | */
9 |
10 | /* .Call calls */
11 | extern SEXP R_get_max_threads(void);
12 | extern SEXP R_get_thread_limit(void);
13 | extern SEXP R_get_xy_range(SEXP, SEXP, SEXP);
14 | extern SEXP R_gower(SEXP, SEXP, SEXP, SEXP, SEXP, SEXP, SEXP, SEXP);
15 | extern SEXP R_gower_topn(SEXP, SEXP, SEXP, SEXP, SEXP, SEXP, SEXP, SEXP, SEXP);
16 |
17 | static const R_CallMethodDef CallEntries[] = {
18 | {"R_get_max_threads", (DL_FUNC) &R_get_max_threads, 0},
19 | {"R_get_thread_limit", (DL_FUNC) &R_get_thread_limit, 0},
20 | {"R_get_xy_range", (DL_FUNC) &R_get_xy_range, 3},
21 | {"R_gower", (DL_FUNC) &R_gower, 8},
22 | {"R_gower_topn", (DL_FUNC) &R_gower_topn, 9},
23 | {NULL, NULL, 0}
24 | };
25 |
26 | void R_init_gower(DllInfo *dll)
27 | {
28 | R_registerRoutines(dll, NULL, CallEntries, NULL, NULL);
29 | R_useDynamicSymbols(dll, FALSE);
30 | }
31 |
--------------------------------------------------------------------------------
/pkg/src/gower.c:
--------------------------------------------------------------------------------
1 | /* gower - a C/R implementation of Gower's similarity (or distance) measure.
2 | * Copyright (C) 2016 Mark van der Loo
3 | *
4 | * This program is free software: you can redistribute it and/or modify
5 | * it under the terms of the GNU General Public License as published by
6 | * the Free Software Foundation, either version 3 of the License, or
7 | * (at your option) any later version.
8 | *
9 | * This program is distributed in the hope that it will be useful,
10 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
11 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
12 | * GNU General Public License for more details.
13 | *
14 | * You should have received a copy of the GNU General Public License
15 | * along with this program. If not, see .
16 | *
17 | * You can contact the author at: mark _dot_ vanderloo _at_ gmail _dot_ com
18 | *
19 | */
20 |
21 |
22 |
23 | #ifdef _OPENMP
24 | #include
25 | #endif
26 |
27 | /* R-windows-oldrel (3.2.x) uses gcc 4.6.3 which we need to detect */
28 | #ifdef __GNUC__
29 | #if __GNUC__ <= 4 && __GNUC_MINOR__ <= 6
30 | #else
31 | #define HAS_REDUCTION
32 | #endif
33 | #endif
34 |
35 |
36 |
37 |
38 | #include
39 | #include
40 | #include
41 |
42 | #define MAX(X,Y) ((X) > (Y) ? (X) : (Y))
43 | #define MIN(X,Y) ((X) < (Y) ? (X) : (Y))
44 | #define RECYCLE(N, K) ((N) + 1L < (K) ? (N) + 1L : 0L )
45 |
46 | // determine when something is numerically zero.
47 | static double EPS = 1e-8;
48 | // set max nr of threads to use
49 | static int NTHREAD = 1L;
50 |
51 | // recycling in parallel region.
52 | static inline int recycle(int i, int nthreads, int ni){
53 | i += nthreads;
54 | if ( i >= ni )
55 | i = (nthreads < ni) ? (i - ni) : (i % ni);
56 | return i;
57 | }
58 |
59 |
60 | SEXP R_get_max_threads(void){
61 | SEXP out = allocVector(INTSXP, 1L);
62 | PROTECT(out);
63 | INTEGER(out)[0] = 1L;
64 | #ifdef _OPENMP
65 | INTEGER(out)[0] = omp_get_max_threads();
66 | #endif
67 | UNPROTECT(1);
68 | return out;
69 | }
70 |
71 |
72 | SEXP R_get_num_procs(void){
73 | SEXP out = allocVector(INTSXP, 1L);
74 | PROTECT(out);
75 | INTEGER(out)[0] = 1L;
76 | #ifdef _OPENMP
77 | INTEGER(out)[0] = omp_get_num_procs();
78 | #endif
79 | UNPROTECT(1);
80 | return out;
81 | }
82 |
83 | SEXP R_get_thread_limit(void){
84 | SEXP out = allocVector(INTSXP, 1L);
85 | PROTECT(out);
86 | INTEGER(out)[0] = 1L;
87 | #ifdef _OPENMP
88 | INTEGER(out)[0] = omp_get_thread_limit();
89 | #endif
90 | UNPROTECT(1);
91 | return out;
92 | }
93 |
94 |
95 | // presence or absence of a character. x and y are 0 (FALSE) or 1 (TRUE)
96 | static inline void gower_logi(int *x, int nx, int *y, int ny
97 | , double *num, double *den, double weight)
98 | {
99 |
100 | #pragma omp parallel num_threads(NTHREAD)
101 | {
102 | int nt = MAX(nx,ny);
103 | double dijk, sijk;
104 | int i = 0, j = 0;
105 | double *inum = num, *iden=den;
106 |
107 | int ID = 0, num_threads=1;
108 | #ifdef _OPENMP
109 | ID = omp_get_thread_num();
110 | num_threads = omp_get_num_threads();
111 | i = recycle(ID-num_threads, num_threads, nx);
112 | j = recycle(ID-num_threads, num_threads, ny);
113 | inum += ID;
114 | iden += ID;
115 | #endif
116 |
117 |
118 | for ( int k = ID; k < nt; k += num_threads, inum += num_threads, iden += num_threads){
119 | dijk = (double) ((x[i] | y[j]) & !((x[i] == NA_INTEGER) | (y[j] == NA_INTEGER)));
120 | sijk = (dijk == 1.0) ? (double) (x[i] * y[j]) : 0.0;
121 | *inum += weight * dijk * sijk;
122 | *iden += weight * dijk;
123 | i = recycle(i, num_threads, nx);
124 | j = recycle(j, num_threads, ny);
125 | }
126 | } // end parallel region.
127 | }
128 |
129 | // equality of categorical variables, encoded as x, y in {1,2,...,N}.
130 | static inline void gower_cat(int *x, int nx, int *y, int ny
131 | , double *num, double *den, double weight)
132 | {
133 |
134 | #pragma omp parallel num_threads(NTHREAD)
135 | {
136 | int nt = MAX(nx,ny);
137 | double dijk, sijk;
138 | int i = 0, j = 0;
139 | double *inum = num, *iden=den;
140 |
141 | int ID = 0, num_threads=1;
142 | #ifdef _OPENMP
143 | ID = omp_get_thread_num();
144 | num_threads = omp_get_num_threads();
145 | i = recycle(ID-num_threads, num_threads, nx);
146 | j = recycle(ID-num_threads, num_threads, ny);
147 | inum += ID;
148 | iden += ID;
149 | #endif
150 |
151 | for ( int k = ID; k < nt; k += num_threads, inum += num_threads, iden += num_threads){
152 | dijk = (double) !(x[i] == NA_INTEGER || y[j] == NA_INTEGER);
153 | sijk = (dijk==1.0) ? (double) (x[i] == y[j]) : 0.0;
154 | *inum += weight * dijk * sijk;
155 | *iden += weight * dijk;
156 | i = recycle(i, num_threads, nx);
157 | j = recycle(j, num_threads, ny);
158 | }
159 | } // end parallel region.
160 |
161 | }
162 |
163 | // strings. Treated as categories.
164 | static inline void gower_str(SEXP x, int nx, SEXP y, int ny, double *num, double *den, double weight){
165 | #pragma omp parallel num_threads(NTHREAD)
166 | {
167 | int nt = MAX(nx, ny);
168 | double dijk, sijk;
169 | int i=0, j=0;
170 | double *inum = num, *iden=den;
171 | SEXP xi, yj;
172 |
173 | int ID = 0, num_threads=1;
174 | #ifdef _OPENMP
175 | ID = omp_get_thread_num();
176 | num_threads = omp_get_num_threads();
177 | i = recycle(ID-num_threads, num_threads, nx);
178 | j = recycle(ID-num_threads, num_threads, ny);
179 | inum += ID;
180 | iden += ID;
181 | #endif
182 |
183 | for ( int k = ID; k < nt; k += num_threads, inum += num_threads, iden += num_threads){
184 | xi = STRING_ELT(x,i);
185 | yj = STRING_ELT(y,j);
186 | dijk = (double) !(xi == NA_STRING || yj == NA_STRING);
187 | sijk = (dijk==1.0) ? (double) (CHAR(xi) == CHAR(yj)) : 0.0;
188 | *inum += weight * dijk * sijk;
189 | *iden += weight * dijk;
190 | i = recycle(i, num_threads, nx);
191 | j = recycle(j, num_threads, ny);
192 | }
193 | } // end of parallel region
194 | }
195 |
196 |
197 | // comparison of numerical variables, by absolute difference divided by range.
198 | static inline void gower_num(double *x, int nx, double *y, int ny,double R
199 | , double *num, double *den, double weight)
200 | {
201 | if ( !isfinite(R) || R < EPS ){
202 | warning("skipping variable with zero or non-finite range.");
203 | return;
204 | }
205 | #pragma omp parallel num_threads(NTHREAD)
206 | {
207 | int nt = MAX(nx,ny);
208 | double dijk, sijk;
209 | int i = 0, j = 0;
210 | double *inum = num, *iden=den;
211 |
212 | int ID = 0, num_threads=1;
213 | #ifdef _OPENMP
214 | ID = omp_get_thread_num();
215 | num_threads = omp_get_num_threads();
216 | i = recycle(ID-num_threads, num_threads, nx);
217 | j = recycle(ID-num_threads, num_threads, ny);
218 | inum += ID;
219 | iden += ID;
220 | #endif
221 |
222 |
223 | for ( int k = ID; k < nt; k += num_threads, inum += num_threads, iden += num_threads){
224 | dijk = (double) (isfinite(x[i]) & isfinite(y[j]));
225 | sijk = (dijk==1.0) ? (1.0-fabs(x[i]-y[j])/R) : 0.0;
226 | (*inum) += weight * dijk * sijk;
227 | (*iden) += weight * dijk;
228 | i = recycle(i, num_threads, nx);
229 | j = recycle(j, num_threads, ny);
230 | }
231 |
232 | } // end of parallel region
233 | }
234 |
235 |
236 | static inline void gower_dbl_int(double *x, int nx, int *y, int ny,double R
237 | , double *num, double *den, double weight)
238 | {
239 |
240 | if ( !isfinite(R) || R < EPS ){
241 | warning("skipping variable with zero or non-finite range\n");
242 | return;
243 | }
244 |
245 | #pragma omp parallel num_threads(NTHREAD)
246 | {
247 | int nt = MAX(nx, ny);
248 | double dijk, sijk;
249 | int i=0, j=0;
250 | double *inum = num, *iden=den;
251 |
252 | int ID = 0, num_threads=1;
253 | #ifdef _OPENMP
254 | ID = omp_get_thread_num();
255 | num_threads = omp_get_num_threads();
256 | i = recycle(ID-num_threads, num_threads, nx);
257 | j = recycle(ID-num_threads, num_threads, ny);
258 | inum += ID;
259 | iden += ID;
260 | #endif
261 |
262 | for ( int k = ID; k < nt; k += num_threads, inum += num_threads, iden += num_threads){
263 | dijk = (double) (isfinite(x[i]) & (y[j] != NA_INTEGER));
264 | sijk = (dijk==1.0) ? (1.0-fabs(x[i] - ((double) y[j]) )/R) : 0.0;
265 | *inum += weight * dijk * sijk;
266 | *iden += weight * dijk;
267 | i = recycle(i, num_threads, nx);
268 | j = recycle(j, num_threads, ny);
269 | }
270 | } // end of parallel region
271 | }
272 |
273 | static inline void gower_int(int *x, int nx, int *y, int ny, double R
274 | , double *num, double *den, double weight)
275 | {
276 | if ( !isfinite(R) || R == 0 ){
277 | warning("skipping variable with zero or non-finite range\n");
278 | return;
279 | }
280 | #pragma omp parallel num_threads(NTHREAD)
281 | {
282 | int nt = MAX(nx, ny);
283 | double dijk, sijk;
284 | int i=0, j=0;
285 | double *inum = num, *iden=den;
286 |
287 | int ID = 0, num_threads=1;
288 | #ifdef _OPENMP
289 | ID = omp_get_thread_num();
290 | num_threads = omp_get_num_threads();
291 | i = recycle(ID-num_threads, num_threads, nx);
292 | j = recycle(ID-num_threads, num_threads, ny);
293 | inum += ID;
294 | iden += ID;
295 | #endif
296 |
297 |
298 | for ( int k = ID; k < nt; k += num_threads, inum += num_threads, iden += num_threads){
299 | dijk = (double) ( (x[i] !=NA_INTEGER) & (y[j] != NA_INTEGER));
300 | sijk = (dijk==1.0) ? (1.0-fabs( ((double)x[i]) - ((double)y[j]) )/R) : 0.0;
301 | *inum += weight * dijk * sijk;
302 | *iden += weight * dijk;
303 | i = recycle(i, num_threads, nx);
304 | j = recycle(j, num_threads, ny);
305 | }
306 | } // end of parallel region
307 | }
308 |
309 | // range computations
310 | static void get_dbl_range(double *x, int nx, double *min, double *max){
311 |
312 | double *ix = x;
313 |
314 |
315 | double imin=*ix, imax=*ix;
316 |
317 | for ( int i=0; i imax ) imax = x[i];
338 | if ( x[i] < imin ) imin = x[i];
339 | }
340 | }
341 | }// end parallel region
342 | *min = imin;
343 | *max = imax;
344 | }
345 |
346 |
347 | static void get_int_range(int *x, int nx, double *min, double *max){
348 |
349 | int *ix = x;
350 |
351 | int imin = *ix
352 | , imax = *ix;
353 |
354 | for ( int i=0; i imax ) imax = x[i];
372 | if ( x[i] < imin ) imin = x[i];
373 | }
374 | }
375 |
376 | *min = (double) imin;
377 | *max = (double) imax;
378 | }
379 |
380 | static void get_range(SEXP x, double *min, double *max){
381 |
382 | switch( TYPEOF(x) ){
383 | case INTSXP : {
384 | get_int_range(INTEGER(x), length(x), min, max);
385 | break;
386 | }
387 | case REALSXP : {
388 | get_dbl_range(REAL(x), length(x), min, max);
389 | break;
390 | }
391 | }
392 |
393 | }
394 |
395 | static double get_xy_range(SEXP x, SEXP y){
396 |
397 | double x_min = R_NegInf
398 | , x_max = R_PosInf
399 | , y_min = R_NegInf
400 | , y_max = R_PosInf
401 | , min, max;
402 |
403 | get_range(x, &x_min, &x_max);
404 | get_range(y, &y_min, &y_max);
405 |
406 | if ( isfinite(x_min) & isfinite(y_min) ){
407 | min = MIN(x_min, y_min);
408 | } else if ( isfinite(x_min) & !(isfinite(y_min)) ){
409 | min = x_min;
410 | } else if ( (!isfinite(x_min)) & isfinite(y_min) ) {
411 | min = y_min;
412 | } else {
413 | min = NA_REAL;
414 | }
415 |
416 | if ( isfinite(x_max) & isfinite(y_min) ){
417 | max = MAX(x_max, y_max);
418 | } else if ( isfinite(x_max) & !isfinite(y_max) ){
419 | max = x_max;
420 | } else if ( (!isfinite(x_max)) & isfinite(y_max) ){
421 | max = y_max;
422 | } else {
423 | max = NA_REAL;
424 | }
425 |
426 | return max - min;
427 |
428 | }
429 |
430 | SEXP R_get_xy_range(SEXP x_, SEXP y_, SEXP nthread_){
431 | NTHREAD = INTEGER(nthread_)[0];
432 | SEXP out = allocVector(REALSXP,1L);
433 | PROTECT(out);
434 | REAL(out)[0] = get_xy_range(x_, y_);
435 | UNPROTECT(1);
436 | return out;
437 | }
438 |
439 |
440 | /*
441 | static void print_vec(double *x, int n){
442 | for ( int i=0; ii; j-- ){
601 | topn[j] = topn[j-1];
602 | index[j] = index[j-1];
603 | }
604 | topn[i] = x;
605 | index[i] = ind;
606 | break; // out of main loop
607 | }
608 | }
609 | }
610 |
611 | }
612 |
613 | /* For testing purposes
614 | SEXP R_pushdown(SEXP entry_, SEXP index_, SEXP values_, SEXP indices_){
615 | double entry = REAL(entry_)[0];
616 | int index = INTEGER(index_)[0];
617 | double *values = REAL(values_);
618 | int *indices = INTEGER(indices_);
619 | int n = length(values_);
620 |
621 | push(entry, index, values, indices, n);
622 | return R_NilValue;
623 | }
624 | */
625 |
626 |
627 |
628 | static inline void copyrec(SEXP into, SEXP from, int i){
629 | int ncol = length(into);
630 |
631 | SEXP col_from, col_into;
632 |
633 | for ( int j = 0; j < ncol; j++){
634 | col_from = VECTOR_ELT(from,j);
635 | col_into = VECTOR_ELT(into,j);
636 | switch(TYPEOF(col_from)){
637 | case LGLSXP : { INTEGER(col_into)[0] = INTEGER(col_from)[i]; break;}
638 | case INTSXP : { INTEGER(col_into)[0] = INTEGER(col_from)[i]; break;}
639 | case REALSXP : { REAL(col_into)[0] = REAL(col_from)[i]; break;}
640 | case STRSXP : { SET_STRING_ELT(col_from, 0, STRING_ELT(col_from,i)); break;}
641 | }
642 | }
643 | }
644 |
645 | /* for testing purposes only
646 | void prvec(SEXP x){
647 | for (int i=0; i>=
35 | options(prompt=" ")
36 | @
37 |
38 | \newpage
39 |
40 | \section{Gower's distance measure}
41 |
42 | Gower's distance can be used to measure how different two records are. The
43 | records may contain combinations of logical, numerical, categorical or text
44 | data. The distance is always a number between 0 (identical) and 1 (maximally
45 | dissimilar). An easy to read specification of the measure is given in the
46 | original paper.
47 |
48 | Gower (1971)
49 | \href{http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.412.4155&rep=rep1&type=pdf}{A general coefficient of similarity and some of its properties}.
50 | \emph{Biometrics} **27** 857--874.
51 |
52 | In short, Gower's distance (or similarity) first computes distances between pairs of variables over two data sets and then combines those distances to a single value per record-pair.
53 |
54 | This package modifies Gower's original similarity measure in the following ways.
55 |
56 | \begin{itemize}
57 | \item{In stead of the original similarity $S$, the package returns the distance $1-S$.}
58 | \item{The original paper does not mention the concept of \code{NA}. Missing
59 | variables are skipped when computing the distance.}
60 | \item{The original paper does not mention character data. These are treated as
61 | categorical data.}
62 | \end{itemize}
63 |
64 | \section{Computing Gower's distance}
65 |
66 | The function \code{gower\_dist} computes pairwise-distances between records.
67 |
68 | <<>>=
69 | library(gower)
70 | dat1 <- iris[1:10,]
71 | dat2 <- iris[6:15,]
72 | gower_dist(dat1, dat2)
73 | @
74 | If one data frame has less records than the other, the shortest one is recycled
75 | over (just like when you're adding two vectors of unequal length)
76 |
77 | <<>>=
78 | gower_dist(iris[1,], dat1)
79 | @
80 |
81 | It is possible to control how columns from the two data sets are paired for
82 | comparison using the \code{pair\_x} and \code{pair\_y} arguments. This comes in
83 | handy when similar colums have different names accross datasets. By default,
84 | columns with matching names are paired. The behaviour is somewhat similar to
85 | that of base R's \code{merge} in that respect.
86 |
87 | <<>>=
88 | dat1 <- dat2 <- iris[1:10,]
89 | names(dat2) <- tolower(names(dat2))
90 | gower_dist(dat1, dat2)
91 | # tell gower_dist to match columns 1..5 in dat1 with column 1..5 in dat2
92 | gower_dist(dat1, dat2, pair_y=1:5)
93 | @
94 |
95 | It is also possible to explicitly ignore case when matching columns
96 | by name.
97 | <<>>=
98 | gower_dist(dat1, dat2, ignore_case=TRUE)
99 | @
100 |
101 |
102 |
103 | \section{Computing the top-n best matches}
104 |
105 | The function \code{gower\_topn} returns a list with two arrays.
106 | <<>>=
107 | dat1 <- iris[1:10,]
108 | L <- gower_topn(x=dat1, y=iris, n=3)
109 | L
110 | @
111 |
112 | The first array is called \code{index}. Each column corresponds to one row of \code{x}.
113 | The entries of each column index the top $n$ best matches of that row in \code{x} with
114 | rows in \code{y}. In this example, the best match of the first row of \code{dat1} is
115 | record number \Sexpr{L$index[1,1]} from \code{iris} (this should be obvious, since
116 | they are the same record). The second best match is record number
117 | \Sexpr{L$index[2,1]} from \code{iris}.
118 |
119 | The second array is called \code{distance} and it contains the corresponding distances.
120 |
121 | \section{Using weights}
122 |
123 | Gower's distance is computed as an average over differences between variables.
124 | By setting \code{weights} you can compute the distance as a weighted average.
125 | <<>>=
126 | gower_dist(women[1,], women)
127 | gower_dist(women[1,], women, weights=c(2,3))
128 | @
129 |
130 |
131 | \section{Parallelization, memory usage}
132 |
133 |
134 | The underlying algorithm is implemented in C and parallelized using
135 | \href{http://www.openmp.org}{OpenMP}. OpenMP is available on most systems that
136 | can run R. Please see
137 | \href{https://cran.r-project.org/doc/manuals/r-release/R-exts.html#OpenMP-support}{this
138 | section} of the writing R extensions manual for up-to-details details on which
139 | systems are supported. At the time of writing (spring 2019), OSX is the only
140 | system not supporting OpenMP out of the box. You can still make it work by
141 | installing the gcc toolchain and compiling the package (and R).
142 |
143 | If OpenMP is not supported, the package will still work but the core algorithms
144 | will not be parallelized.
145 |
146 | This implementation makes no copies of the data in memory. When computing
147 | \code{gower\_dist}, two double precision arrays of size
148 | \code{max(nrow(x),nrow(y))} are kept in memory to store intermediate results.
149 | When computing the top-n matches, for $k$ cores, $k+2$ double precision arrays
150 | of length \code{nrow(y)} are created to store intermediate results at C level.
151 |
152 | \end{document}
153 |
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/vignettes.sh:
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1 | #!/bin/bash
2 |
3 | function finish {
4 | cd ${oldwd}
5 | }
6 | trap finish EXIT
7 |
8 | oldwd=`pwd`
9 |
10 | cd pkg/vignettes
11 |
12 | R -e "Sweave(dir(pattern='Rnw$'))"
13 | pdflatex *.tex
14 |
15 | evince *.pdf &
16 |
17 |
18 |
19 |
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