cwhmisc: normalize – R documentation

Become an expert in R — Interactive courses, Cheat Sheets, certificates and more!

normalize

base power and multiplier, significant places

Description

Split a number into base power and multiplier so that x = a*base^e, with abs( a ) in [1, base); check normalization; compute number of significant places

Usage

normalize( x, base=2 )
  checkNormalize( no )
  Nd(x, base=10)
  sigplaces(x, base=10, rnd=0)
  checkNormalize( no )

Arguments

`x`	Real vector
`base`	Base of power
`no`	result of `normalize`
`rnd`	Integer >0 / <0, rounding to r digits after/before "."

Details

normalize(c(+-Inf, NA)) will result in c(+-Inf,NA,1).

Value

normalize: data-frame with one column c(a,e,base) for each x, such that x = a*base^e, abs( a ) in [1, base), but a:=x, e:=0 for x=0, NA, +-Inf.
normalize1: as normalize:, but abs( a ) in [1/base, 1)
Nd: log to base base, 1 for x=0 .
sigplaces: number of places necessary for printing trunc(x); c(2,3,4,3) for c(NA,Inf,-Inf,NaN). checkNormalize: reconvert argument to number.

Author(s)

Christian W. Hoffmann <christian@echoffmann.ch>

Examples

(xx <- c(exp(1),pi,NA, Inf, -Inf,10,100,c(1,10)*exp(1)) )
(x2 <- normalize(xx,2))
#          A         B  C   D   E    F      G         H         I
# a 1.3591409 1.5707963 NA Inf Inf 1.25 1.5625 1.3591409 1.6989261
# e 1.0000000 1.0000000  0   0   0 3.00 6.0000 1.0000000 4.0000000
# b 2.0000000 2.0000000  2   2   2 2.00 2.0000 2.0000000 2.0000000

(x32 <- normalize1(xx,2))
#           A          B   C   D   E     F       G          H          I
# a 0.67957046 0.785398 NA Inf Inf 0.625 0.78125 0.67957 0.849463
# e 2.00000000 2.000000  1   1   1 4.000 7.00000 2.00000 5.000000
# b 2.00000000 2.000000  2   2   2 2.000 2.00000 2.00000 2.000000

(x10 <- normalize(xx,10))
#           A          B  C   D   E  F  G          H          I
# a  2.7182818  3.1415927 NA Inf Inf  1  1  2.7182818  2.7182818
# e  0.0000000  0.0000000  0   0   0  1  2  0.0000000  1.0000000
# b 10.0000000 10.0000000 10  10  10 10 10 10.0000000 10.0000000

(x7 <- normalize(xx,7))
#           A         B  C   D   E         F         G         H         I
# a 2.7182818 3.1415927 NA Inf Inf 1.42857 2.0408 2.71828 3.8832598
# e 0.0000000 0.0000000  0   0   0 1.00000 2.0000 0.00000 1.0000000
# b 7.0000000 7.0000000  7   7   7 7.00000 7.0000 7.00000 7.0000000

sigplaces(-9.999) #
sigplaces(pi/100) #

all.equal(checkNormalize(x2), checkNormalize(x7)) # TRUE

cwhmisc

Miscellaneous Functions for Math, Plotting, Printing, Statistics, Strings, and Tools

v6.6

GPL (>= 2)

Authors

Christian W. Hoffmann

Initial release

2018-08-24, 10:40:10