colorMap1 {RcppColors}

Color mappings functions

Description

Functions mapping each complex number to a color.

Usage

colorMap1(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

colorMap2(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

colorMap3(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  s = 80,
  n = 5,
  nthreads = 1L
)

colorMap4(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

colorMap5(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

colorMap6(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

colorMap7(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

colorMap8(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

colorMap9(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

colorMap10(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

colorMap11(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

colorMap12(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

colorMap13(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

colorMap14(
  Z,
  bkgcolor = "#15191e",
  nancolor = "#000000",
  reverse = c(FALSE, FALSE, FALSE),
  nthreads = 1L
)

Arguments

Z

complex number, vector or matrix

bkgcolor

background color; it is applied for the NA values of Z

nancolor

color for infinite and NaN values

reverse

logical vector of length three; for each component of the color space (e.g. R, G, B or H, S, L), whether to reverse it (e.g. R -> 255-R)

nthreads

number of threads used for parallel computation

s

saturation, a number between 0 and 100

n

number of rays drawn in a cycle; it should be a positive integer but any non-zero numeric value is accepted

Value

A string or a character vector or a character matrix, having the same size as Z. Each entry is a color given by a hexadecimal string.

Examples

library(RcppColors)

iota <- function(z){
  (z + 1i) / (1i*z + 1)
}
f <- function(z){
  q <- exp(2i * pi * z)
  r <- q - 4*q^2 + 2*q^3 + 8*q^4 - 5*q^5 - 8*q^6 + 6*q^7 - 23*q^9
  r / Mod(r)
}
g <- function(z){
  ifelse(
    Mod(z) >= 1, 
    NA_complex_,
    f(iota(Conj(z)))
  )
}

x <- y <- seq(-1, 1, len = 1500)
W <- outer(y, x, function(x, y) complex(real = x, imaginary = y))
Z <- g(W)
image <- colorMap1(Z)

opar <- par(mar = c(0,0,0,0), bg = "#15191E")
plot(
  c(-100, 100), c(-100, 100), type = "n", 
  xlab = "", ylab = "", axes = FALSE, asp = 1
)
rasterImage(image, -100, -100, 100, 100)
par(opar)