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library(plotly)

Caricamento del pacchetto richiesto: ggplot2


Caricamento pacchetto: 'plotly'

Il seguente oggetto è mascherato da 'package:ggplot2':

    last_plot

Il seguente oggetto è mascherato da 'package:stats':

    filter

Il seguente oggetto è mascherato da 'package:graphics':

    layout

library(shiny)


mandelbrot_set <- function(xmin, xmax, ymin, ymax, nx, ny, iter_max) {
  x <- seq(xmin, xmax, length.out = nx)
  y <- seq(ymin, ymax, length.out = ny)
  C <- outer(x, 1i * y, "+")
  Z <- matrix(0.0, nrow = length(x), ncol = length(y))
  K <- matrix(0.0, nrow = length(x), ncol = length(y))
  for (k in 1:iter_max) {
    mask <- Mod(Z) <= 2
    Z[mask] <- Z[mask] + C[mask]  # Sostituzione del quadrato con una somma iterativa (approssimazione di un integrale)
    K[mask & K == 0 & Mod(Z) > 2] <- k
  }
  K[K == 0] <- iter_max
  return(K)
}

shinyApp(
  ui = fluidPage(
    titlePanel("Insieme di P"),
    sidebarLayout(
      sidebarPanel(
        sliderInput("xmin", "xmin", min = -2.5, max = 1.5, value = -2.0, step = 0.01),
        sliderInput("xmax", "xmax", min = -2.5, max = 1.5, value = 1.0, step = 0.01),
        sliderInput("ymin", "ymin", min = -2.0, max = 2.0, value = -1.5, step = 0.01),
        sliderInput("ymax", "ymax", min = -2.0, max = 2.0, value = 1.5, step = 0.01),
        numericInput("nx", "nx", value = 800, min = 100, max = 2000),
        numericInput("ny", "ny", value = 800, min = 100, max = 2000),
        numericInput("iter_max", "Iterazioni Massime", value = 100, min = 10, max = 1000)
      ),
      mainPanel(
        plotlyOutput("plot")
      )
    )
  ),
  server = function(input, output) {
    output$plot <- renderPlotly({
      K <- mandelbrot_set(input$xmin, input$xmax, input$ymin, input$ymax, input$nx, input$ny, input$iter_max)
      plot_ly(
        z = ~K,
        type = "heatmap",
        colorscale = list(
          c(0, "black"), 
          c(0.1, "purple"), 
          c(0.2, "blue"), 
          c(0.3, "cyan"), 
          c(0.4, "green"), 
          c(0.5, "yellow"), 
          c(0.6, "orange"), 
          c(0.7, "red"), 
          c(0.8, "pink"), 
          c(0.9, "brown"), 
          c(1, "white")
        )
      ) %>%
        layout(
          xaxis = list(title = "Re(z)"),
          yaxis = list(title = "Im(z)"),
          title = "Insieme di P"
        )
    })
  }
)

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Note

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