Developing Patterns

Developing Patterns - overview

To develop a pattern for use with {gridpattern} (and packages that use it such as {ggpattern}) you will need to:

1. Decide whether this is a geometry-based pattern or an array-based pattern.
2. Create a function with the required arguments and return value
3. Use options() to let {gridpattern} know that a certain pattern name should be delegated to your function.

This vignette shows how to:

• write a create_pattern() function of the correct signature for a geometry-based pattern or array-based pattern
• Instruct {gridpattern} on where to find this user-defined pattern

Pattern Classification - geometry-based and array-based

There are only 2 high-level classes of pattern supported by gridpattern - geometry-based and array-based.

Geometry-based patterns create a series of geometry objects and trim them (using sf::st_intersection(), gridGeometry::polyclipGrob(), gridpattern::clippingPathGrob(), etc) to be within the boundary of the grob. For example, the ‘stripes’ pattern in gridpattern is a series of equally spaced rectangular polygons.

Array-based patterns are RGBA image arrays. Any supplied image will be processed by gridpattern to ensure it is masked to only apply to the area within the grob’s boundary.

{ggpattern} Aesthetics - Descriptions and Defaults

Although custom {gridpattern} pattern parameters need not limit itself to the set of aesthetics provided by {ggpattern} doing so may make your pattern more useful for others:

Note {ggpattern} may also pass other geom aesthetics of possible interest such as fill. Also note that {ggpattern} will only pass pattern aesthetics values of length one but if the pattern is called directly by gridpattern::patternGrob() then the pattern may be passed pattern parameters of arbitrary length.

Geometry-based pattern functions - Formal Arguments and Return Values

All geometry-based pattern creation functions must:

1. Have the exact function signature: function(params, boundary_df, aspect_ratio, legend)

   • params - parameters for the pattern (the aesthetics) e.g pattern_fill
   • boundary_df - data.frame containing polygon information i.e. The polygon_df format.
   • aspect_ratio - the best guess that {gridpattern} / {ggpattern} is able to make as to the aspect ratio of the viewport in which this pattern is being rendered.
   • legend logical value to indicate whether or not this function is being called to render a key legend or the in-place geom fill.

2. Return a grid grob object. This can be any valid grob including a grid::grobTree(). The user should make sure it lies within the boundary represented by boundary_df either by clipping with functions like sf::st_intersection(), gridGeometry::polyclipGrob(), gridpattern::clippingPathGrob(), etc. or using bounded grob functions like gridpattern::patternGrob() or grid::polygonGrob().

Array-based pattern functions - Formal Arguments and Return Values

All array-based pattern creation functions must:

1. Have the exact function signature: function(width, height, params, legend)
   • width,height - dimensions of the bounding box of the geom area
   • params - parameters from the geom (the aesthetics) e.g pattern_fill
   • legend logical value to indicate whether or not this function is being called to render a key legend or the in-place geom fill.
2. Return a 3D array of RGBA values (all values in the range [0, 1]). gridpattern itself will mask this image so that it only applies to the area within the grob’s boundary.

The polygon_df data.frame format

The polygon_df is a very simple data.frame format to contain polygon values. This is used to pass the coordinates of the geom boundary from the geom to the pattern generating function.

It contains only ‘x’ and ‘y’ columns for the coordinates, and an ‘id’ column used to signify which polygon the coordinates belong to.

The following polygon_df data.frame contains 2 polygons:

Associating a function with {gridpattern} pattern name

There are two global option() values which can be set - one for geometry-based patterns, and the other for array-based patterns.

The global values should point to a named list, where the names are the pattern names you want to use within {gridpattern}, and the named values are the actual functions. Note for backwards-compatibility with the original {ggpattern} system these options start with ggpattern instead of gridpattern.

options(ggpattern_array_funcs    = list(your_pattern_name = your_pattern_function))
options(ggpattern_geometry_funcs = list(your_pattern_name = your_pattern_function))

Pattern names must be different from any of the builtin patterns included in {gridpattern}.

Example geometry-based pattern #1 (recreate polygon)

All geometry-based pattern creation functions must:

1. Have the exact function signature: function(params, boundary_df, aspect_ratio, legend)
   • params - parameters from the geom (the aesthetics) e.g pattern_fill
   • boundary_df - data.frame containing polygon information i.e. The polygon_df format.
   • aspect_ratio - the best guess that {gridpattern} / {ggpattern} is able to make as to the aspect ratio of the viewport in which this pattern is being rendered.
   • legend logical value to indicate whether or not this function is being called to render a key legend or the in-place geom fill.
2. Return a grid grob bounded by the boundary represented by boundary_df (including grid structures like a grid::grobTree()).

For this example we’ll create a simple single color fill pattern based on grid::polygonGrob() called ‘polygon’.

create_pattern_polygon <- function(params, boundary_df, aspect_ratio, legend = FALSE) {
    x <- boundary_df$x
    y <- boundary_df$y
    id <- boundary_df$id

    alpha <- ifelse(is.na(params$pattern_alpha), 1, params$pattern_alpha)
    gp <- grid::gpar(alpha = alpha, 
                     col = params$pattern_colour,
                     fill = params$pattern_fill,
                     lty = params$pattern_linetype,
                     lwd = params$pattern_linewidth)

    grid::polygonGrob(x = x, y = y, id = id, default.units = "npc", gp = gp)
}

A global option ggpattern_geometry_funcs is a named list which contains geometry-based pattern creating functions to use outside of ggpattern.

The name used in this list corresponds to the pattern name used with the geom - in this case we will be using pattern = 'polygon'.

options(ggpattern_geometry_funcs = list(polygon = create_pattern_polygon))

grid.pattern("polygon", fill = "red", size = 4, linetype = "dashed", 
             x = c(0.05, 0.05, 0.305, 0.305), y = c(0.05, 0.305, 0.305, 0.05))
grid.pattern("polygon", fill = "green", alpha = 0.2, 
             x = c(0.35, 0.35, 0.65, 0.65), y = c(0.35, 0.65, 0.65, 0.35))
grid.pattern("polygon", fill = "blue", colour = "grey",
             x = c(0.7, 0.7, 1.0, 1.0), y = c(0.7, 1.0, 1.0, 0.7))

Example geometry-based pattern function #2 (using other patterns)

All geometry-based pattern creation functions must:

1. Have the exact function signature: function(params, boundary_df, aspect_ratio, legend)
   • params - parameters from the geom (the aesthetics) e.g pattern_fill
   • boundary_df - data.frame containing polygon information i.e. The polygon_df format.
   • aspect_ratio - the best guess that {gridpattern} / {ggpattern} is able to make as to the aspect ratio of the viewport in which this pattern is being rendered.
   • legend logical value to indicate whether or not this function is being called to render a key legend or the in-place geom fill.
2. Return a grid grob bounded by the boundary represented by boundary_df (including grid structures like a grid::grobTree()).

For this example we’ll create an example that re-uses the pre-existing ‘stripe’, ‘circle’, and ‘gradient’ patterns and combines them into a new ‘complex’ pattern.

create_pattern_complex <- function(params, boundary_df, aspect_ratio, legend = FALSE) {
    args <- as.list(params)
    args <- args[grep("^pattern_", names(args))]
    args$x <- boundary_df$x
    args$y <- boundary_df$y
    args$id <- boundary_df$id
    args$prefix <- ""

    args_stripe <- args
    args_stripe$pattern <- "stripe"
    args_stripe$pattern_density <- 0.5 * args$pattern_density
    args_stripe$pattern_spacing <- 2 * args$pattern_spacing
    grob_stripe <- do.call(gridpattern::patternGrob, args_stripe)

    args_circle <- args
    args_circle$pattern <- "regular_polygon"
    args_circle$pattern_shape <- c("circle", "null")
    args_circle$pattern_yoffset <- args$pattern_spacing + args$pattern_yoffset
    args_circle$pattern_type = "horizontal"
    grob_circle <- do.call(gridpattern::patternGrob, args_circle)

    args_gradient <- args
    args_gradient$pattern <- "gradient"
    args_gradient$pattern_fill <- "#00000070"
    args_gradient$pattern_fill2 <- "#FFFFFF70"
    args_gradient$pattern_orientation <- "vertical"
    grob_gradient <- do.call(gridpattern::patternGrob, args_gradient)

    grid::grobTree(grob_stripe, grob_circle, grob_gradient)
}

A global option ggpattern_geometry_funcs is a named list which contains geometry-based pattern creating functions to use outside of ggpattern.

The name used in this list corresponds to the pattern name used with the geom - in this case we will be using pattern = 'complex'.

options(ggpattern_geometry_funcs = list(complex = create_pattern_complex))

grid.pattern("complex", fill = "red", angle = 45, spacing = 0.05, density = 0.3,
             x = c(0.0, 0.0, 0.3, 0.3), y = c(0.0, 0.3, 0.3, 0.0))
grid.pattern("complex", fill = "green", angle = 45, spacing = 0.2, density = 0.2,
             x = c(0.35, 0.35, 0.65, 0.65), y = c(0.35, 0.65, 0.65, 0.35))
grid.pattern("complex", fill = "blue", angle = 45, spacing = 0.1, density = 0.3,
             x = c(0.7, 0.7, 1.0, 1.0), y = c(0.7, 1.0, 1.0, 0.7))
grid::grid.polygon(x = c(0.0, 0.0, 0.3, 0.3, 0.35, 0.35, 0.65, 0.65, 0.7, 0.7, 1.0, 1.0),
                   y = c(0.0, 0.3, 0.3, 0.0, 0.35, 0.65, 0.65, 0.35, 0.7, 1.0, 1.0, 0.7), 
                   id = rep(1:3, each = 4), 
                   gp = grid::gpar(col = "black", fill = NA, lwd=4))

Example array-based pattern function

All array-based pattern creation functions must:

1. Have the exact function signature: function(width, height, params, legend)
   • width,height - dimensions of the bounding box of the geom area
   • params - parameters from the geom (the aesthetics) e.g pattern_fill
   • legend logical value to indicate whether or not this function is being called to render a key legend or the in-place geom fill.
2. Return a 3D array of RGBA values (all values in the range [0, 1]).

For this example we’ll create a simple example that cycles through RGBA values.

Parameters for this pattern:

• pattern_type is used to distinguish between source data for the pattern

Note: This pattern exploits vector recyling in the creation of the RGBA array, and as dimensions change the alignment of the R, G, B and A planes will not remain in a fixed relationship. Thus if you change the shape of the rendered image, you will change the nature of the pattern.

create_pattern_simple <- function(width, height, params, legend) {
  
  # Ensure the selected pattern is sane.
  choice <- params$pattern_type
  if (is.null(choice) || is.na(choice) || !is.character(choice)) {
    choice <- 'a'
  }
  
  # Choose the values with which to fill the array
  values <- switch(
    choice,
    a = rep(c(0, 1, 0, 1, 1, 0, 0, 1, 1, 1), each = 3),
    b = rep(c(1, 0, 0, 1, 0.5, 0.5, 1, 1, 0, 0, 0, 0, 0, 0.5), each = 7),
    c = rep(seq(0, 1, 0.05), each = 7),
    rep(c(0, 1, 0, 1, 1, 0, 0, 1, 1, 1), each = 3)
  )
  # Create an RGBA array of the requested dimensions
  simple_array <- array(values, dim = c(height, width, 4))

  simple_array
}

A global option ggpattern_array_funcs is a named list which contains geometry-based pattern creating functions to use outside of ggpattern.

The name used in this list corresponds to the pattern name used with the geom - in this case we will be using pattern = 'simple'.

options(ggpattern_array_funcs = list(simple = create_pattern_simple))

grid::grid.polygon(x = c(0, 0, 1, 1), y = c(0, 1, 1, 0), 
                   gp = grid::gpar(col=NA, fill="grey"))
grid.pattern("simple", type = "a",
             x = c(0.0, 0.0, 0.3, 0.3), y = c(0.0, 0.3, 0.3, 0.0))
grid.pattern("simple", type = "b",
             x = c(0.35, 0.35, 0.65, 0.65), y = c(0.35, 0.65, 0.65, 0.35))
grid.pattern("simple", type = "c",
             x = c(0.7, 0.7, 1.0, 1.0), y = c(0.7, 1.0, 1.0, 0.7))

Other examples

The {ggpattern} package contains a vignette on developing {gridpattern} / {ggpattern} patterns with a few more examples: https://coolbutuseless.github.io/package/ggpattern/articles/

Also the {gridpattern} source contains the full source code for 19 patterns: https://github.com/trevorld/gridpattern/tree/main/R