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Takes ggplot code, splits it at every top-level `+`, evaluates each cumulative step, renders one image per step and returns a self-contained hoverable HTML table (CSS and JavaScript travel with it – no template or YAML set-up needed). Hovering a row of code shows the plot as it looks up to that step.

Usage

ch_hover(
  code,
  type = c("incremental", "one_row"),
  layout = c("auto", "row", "column"),
  fixed_scales = FALSE,
  width = 7,
  height = 5,
  dpi = 96,
  path = NULL,
  name = "codehover",
  css_class = "",
  alt = NULL,
  caption = NULL,
  initial = "last",
  env = parent.frame()
)

Arguments

code

The plot code. Either an expression wrapped in braces, as in the example below, or a character string/vector of code lines.

type

(string) Hover effect: "incremental" (default, highlights the hovered row and every prior row) or "one_row".

layout

(string) Placement of the image relative to the code table: "auto" (default) puts them side by side when there is room and wraps the image below otherwise (responsive); "row" forces side by side, shrinking the image if needed; "column" forces the image below the code.

fixed_scales

(logical) Default FALSE: each step shows the true output of its partial code, so axes and legends may change between steps. TRUE pins scales, axes and panel layout from the final plot so the reveal is visually stable (mechanism borrowed from the ggreveal package by Weverthon Machado).

width, height

(numeric) Image size in inches. Default 7 x 5.

dpi

(numeric) Image resolution. Default 96.

path

(string) Default NULL: step images are written to a temporary folder, embedded into the HTML as base64 and deleted. Give a folder path (e.g. "codehover_assets/") to keep numbered PNG files on disk and reference them by relative path instead (smaller HTML, but the folder must ship with the page).

name

(string) File-name prefix for the step images. Default "codehover".

css_class

(string) Extra CSS class added to the container.

alt

(character) Alternative text for the step images, used by screen readers. Either one string per step or a single string reused by every step. Default NULL builds "Plot after step i of n: <code>".

caption

(string) Optional caption shown under the image.

initial

(string or number) Which step's image is shown before any interaction: "last" (default), "first" or a step number.

env

Environment in which the code is evaluated. Default `parent.frame()`.

Value

An htmltools tag list, rendered automatically in R Markdown, Quarto and the RStudio viewer.

Examples

if (requireNamespace("ggplot2", quietly = TRUE)) {
  ch_hover({
    ggplot2::ggplot(mtcars, ggplot2::aes(wt, mpg)) +
      ggplot2::geom_point() +
      ggplot2::geom_smooth(method = "lm")
  })
}
#> `geom_smooth()` using formula = 'y ~ x'
#> <div class='codehover codehover-incremental '><div class='codehover-code' ><table ><tr data-link='data:image/png;base64,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' data-alt='Plot after step 1 of 3: ggplot2::ggplot(mtcars, ggplot2::aes(wt, mpg)) +' tabindex='0'><td>ggplot2::ggplot(mtcars, ggplot2::aes(wt, mpg)) +</td></tr><tr data-link='data:image/png;base64,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' data-alt='Plot after step 2 of 3: ggplot2::geom_point() +' tabindex='0'><td><span class='ch-tab1'>ggplot2::geom_point() +</span></td></tr><tr data-link='data:image/png;base64,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' data-alt='Plot after step 3 of 3: ggplot2::geom_smooth(method = &quot;lm&quot;)' tabindex='0'><td><span class='ch-tab1'>ggplot2::geom_smooth(method = "lm")</span></td></tr></table></div><div class='codehover-img ' style='--codehover-aspect: 7 / 5;' ><img  src='data:image/png;base64,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' alt='Plot after step 3 of 3: ggplot2::geom_smooth(method = &quot;lm&quot;)'/></div></div>