Transformation.mapIntervals: Create a Bijective Mapping between two Intervals

In thomasWeise/dataTransformeR: R Package for Normalizing and Transforming Numerical Data

Description

Create a bijective mapping between the two real intervals [domainMin, domainMax] and [imageMin, imageMax]. The returned mapping will map domainMin to imageMin and domainMax to imageMax and vice versa.

Notice that domainMin>domainMax as well as imageMi >imageMax are both permissible, in which case smaller input values may map to larger output values.

Furthermore, although we specify domain and image boundaries, the returned mapping will not have any boundaries. It is entirely allowed to map values smaller than domainMin or larger than domainMax. These may then land outside of [imageMin, imageMax], though.

Usage

Transformation.mapIntervals(domainMin, domainMax, imageMin = 0,
  imageMax = 1)

Arguments

domainMin	the minimum of the original interval
domainMax	the maximum of the original interval
imageMin	the minimum of the goal interval
imageMax	the maximum of the goal interval

Value

a bijection between [d, domainMax] and [0,1]

See Also

Transformation.normalizeInterval

Examples

trafo <- Transformation.mapIntervals(-1, 1, 0, 2)
trafo
# An object of class "Transformation"
# Slot "forward":
# function (x)
# x + 1
# <environment: 0x35519c0>
#
# Slot "backward":
# function (x)
# x - 1
# <environment: 0x35519c0>
trafo <- Transformation.mapIntervals(0.2, 12, -0.1, 2)
trafo
# An object of class "Transformation"
# Slot "forward":
# function (x)
# (2.1 * ((x - 0.2)/11.8)) - 0.1
# <environment: 0x3c877f0>
#
# Slot "backward":
# function (x)
# 0.2 + (11.8 * ((x + 0.1)/2.1))
# <environment: 0x3c877f0>

thomasWeise/dataTransformeR documentation built on May 14, 2019, 8:03 a.m.