ovrlap: Relational Operators Comparing Two Intervals

In psolymos/intrval: Relational Operators for Intervals

Relational Operators Comparing Two Intervals

Description

Functions for evaluating if two intervals overlap or not.

Usage

interval1 %[o]% interval2
interval1 %)o(% interval2
interval1 %[<o]% interval2
interval1 %[o>]% interval2

interval1 %(o)% interval2
interval1 %]o[% interval2
interval1 %(<o)% interval2
interval1 %(o>)% interval2

interval1 %[]o[]% interval2
interval1 %[]o[)% interval2
interval1 %[]o(]% interval2
interval1 %[]o()% interval2
interval1 %[)o[]% interval2
interval1 %[)o[)% interval2
interval1 %[)o(]% interval2
interval1 %[)o()% interval2
interval1 %(]o[]% interval2
interval1 %(]o[)% interval2
interval1 %(]o(]% interval2
interval1 %(]o()% interval2
interval1 %()o[]% interval2
interval1 %()o[)% interval2
interval1 %()o(]% interval2
interval1 %()o()% interval2

Arguments

interval1, interval2

vector, 2-column matrix, list, or NULL: the interval end points of two (sets) of closed intervals to compare.

Details

The operators define the open/closed nature of the lower/upper limits of the intervals on the left and right hand side of the o in the middle.

The overlap of two closed intervals, [a1, b1] and [a2, b2], is evaluated by the %[o]% (alias for %[]o[]%) operator (a1 <= b1, a2 <= b2). Endpoints can be defined as a vector with two values (c(a1, b1))or can be stored in matrix-like objects or a lists in which case comparisons are made element-wise. If lengths do not match, shorter objects are recycled. These value-to-interval operators work for numeric (integer, real) and ordered vectors, and object types which are measured at least on ordinal scale (e.g. dates), see Examples. Note: interval endpoints are sorted internally thus ensuring the conditions a1 <= b1 and a2 <= b2 is not necessary. %)o(% is used for the negation of two closed interval overlap, directional evaluation is done via the operators %[<o]% and %[o>]%.

The overlap of two open intervals is evaluated by the %(o)% (alias for %()o()%). %]o[% is used for the negation of two open interval overlap, directional evaluation is done via the operators %(<o)% and %(o>)%.

Overlap operators with mixed endpoint do not have negation and directional counterparts.

Value

A logical vector, indicating if interval1 overlaps interval2. Values are TRUE, FALSE, or NA.

Author(s)

Peter Solymos <[e-mail]>

See Also

See help page for relational operators: Comparison.

See %[]% for relational operators for value-to-interval comparisons.

See factor for the behavior with factor arguments. See also %in% for value matching and %ni% for negated value matching for factors.

See Syntax for operator precedence.

Examples

## motivating examples from example(lm)

## Annette Dobson (1990) "An Introduction to Generalized Linear Models".
## Page 9: Plant Weight Data.
ctl <- c(4.17,5.58,5.18,6.11,4.50,4.61,5.17,4.53,5.33,5.14)
trt <- c(4.81,4.17,4.41,3.59,5.87,3.83,6.03,4.89,4.32,4.69)
group <- gl(2, 10, 20, labels = c("Ctl","Trt"))
weight <- c(ctl, trt)
lm.D90 <- lm(weight ~ group - 1) # omitting intercept
## compare 95% confidence of the 2 groups to each other
(CI.D90 <- confint(lm.D90))
CI.D90[1,] %[o]% CI.D90[2,]

## simple interval comparisons
c(2:3) %[o]% c(0:1)

## vectorized comparisons
c(2:3) %[o]% list(0:4, 1:5)
c(2:3) %[o]% cbind(0:4, 1:5)
c(2:3) %[o]% data.frame(a=0:4, b=1:5)
list(0:4, 1:5) %[o]% c(2:3)
cbind(0:4, 1:5) %[o]% c(2:3)
data.frame(a=0:4, b=1:5) %[o]% c(2:3)

list(0:4, 1:5) %[o]% cbind(rep(2,5), rep(3,5))
cbind(rep(2,5), rep(3,5)) %[o]% list(0:4, 1:5)

cbind(rep(3,5),rep(4,5)) %)o(% cbind(1:5, 2:6)
cbind(rep(3,5),rep(4,5)) %[<o]% cbind(1:5, 2:6)
cbind(rep(3,5),rep(4,5)) %[o>]% cbind(1:5, 2:6)

## open intervals

list(0:4, 1:5) %(o)% cbind(rep(2,5), rep(3,5))
cbind(rep(2,5), rep(3,5)) %(o)% list(0:4, 1:5)

cbind(rep(3,5),rep(4,5)) %]o[% cbind(1:5, 2:6)
cbind(rep(3,5),rep(4,5)) %(<o)% cbind(1:5, 2:6)
cbind(rep(3,5),rep(4,5)) %(o>)% cbind(1:5, 2:6)

dt1 <- as.Date(c("2000-01-01", "2000-03-15"))
dt2 <- as.Date(c("2000-03-15", "2000-06-07"))

dt1 %[]o[]% dt2
dt1 %[]o[)% dt2
dt1 %[]o(]% dt2
dt1 %[]o()% dt2
dt1 %[)o[]% dt2
dt1 %[)o[)% dt2
dt1 %[)o(]% dt2
dt1 %[)o()% dt2
dt1 %(]o[]% dt2
dt1 %(]o[)% dt2
dt1 %(]o(]% dt2
dt1 %(]o()% dt2
dt1 %()o[]% dt2
dt1 %()o[)% dt2
dt1 %()o(]% dt2
dt1 %()o()% dt2

## watch precedence
(2 * c(1, 3)) %[o]% (c(2, 4) * 2)
(2 * c(1, 3)) %[o]% c(2, 4) * 2
2 * c(1, 3) %[o]% (c(2, 4) * 2)
2 * c(1, 3) %[o]% c(2, 4) * 2

psolymos/intrval documentation built on Oct. 12, 2024, 1:40 p.m.