fun: Add function

In JohnCoene/funplot: A Powerful Library Built on Top of 'd3.js' Whose Purpose Is to Render Functions With Little Configuration

Description

Add a function to plot.

Usage

fun_add(p, fun, samples = NULL, closed = FALSE, color = NULL,
  type = NULL, range = NULL, tip = FALSE, ...)

fun_add_param(p, x, y, samples = NULL, closed = FALSE, color = NULL,
  type = "polyline", range = NULL, tip = FALSE, ...)

fun_add_polar(p, r, scope = NULL, samples = NULL, closed = FALSE,
  color = NULL, type = "polyline", range = NULL, tip = FALSE, ...)

fun_add_imp(p, fun, samples = NULL, closed = FALSE, color = NULL,
  type = NULL, range = NULL, tip = FALSE, ...)

Arguments

p	Plot as initialised by funplot.
fun	Function to plot.
samples	Determine the number of equally spaced points in which the function will be evaluated in the current domain, increasing it will more accurately represent the function using rectangles at the cost of processing speed.
closed	Set to TRUE to render a closed path, y0 will always be 0 and y1 will be fn(x).
color	Color.
type	Rhree representations of functions, default to interval, see details.
range	A list of length 2, the function will be evaluated only within this range.
tip	Set to TRUE to hide the tooltip.
...	Any other parameter.
x, y	Parametric equation.
r	Polar equation.
scope	Scope of r, see fun_scope.

Details

Valid type values:

• polyline where f(x) is evaluated with some x values, after the evaluation the points are joined with line segments using <path>s

• scatter where f(x) is evaluated with some x values, after the evaluation the points are represented by <circle>s

• interval where f(x) is evaluated with intervals instead of a single point, after the evaluation 2d rects are painted on the screen (done using the <path> svg element)

fun:

Plotting roots can be a challenging problem, most plotters will actually analyze expression of the type x^{a/b}, particularly they will analyze the denominator of the exponent (to plot in the negative x-axis), interval-arithmetic and math.js come bundled with a useful nthRoot function to solve these issues.

See Also

fun_secants, fun_deriv, fun_scope

Examples

# basic equation
funplot() %>%
  fun_add(fun = "sin(x)")

# parametric equation
funplot() %>%
  fun_add_param(
    x = "sin(t) * (exp(cos(t)) - 2 cos(4t) - sin(t/12)^5)",
    y = "cos(t) * (exp(cos(t)) - 2 cos(4t) - sin(t/12)^5)"
   )

# polar equation
funplot() %>%
  fun_add_polar(r = "2 * sin(4 theta)")

# implicit function
funplot() %>%
  fun_add_imp("cos(PI * x) - cos(PI * y)")

# multiple functions
funplot() %>%
  fun_add("sqrt(1 - x * x)") %>%
  fun_add("-sqrt(1 - x * x)")

# samples
funplot() %>%
  fun_add(fun = "sin(x)", samples = 1000)

# closed = TRUE
funplot() %>%
  fun_add("1/x * cos(1/x)", closed = TRUE) %>%
  fun_x("log", domain = list(0.01, 1)) %>%
  fun_y(domain = list(-100, 100))

# color and type
funplot() %>%
  fun_add("x", color = "black") %>%
  fun_add("-x") %>%
  fun_add("-sqrt(x)", type = "scatter", samples = 100) %>%
  fun_add("sqrt(x)", tip = TRUE)

# nthRoot
funplot() %>%
  fun_add("nthRoot(x, 3)^2")

# derivative
funplot() %>%
  fun_add("x^2") %>%
  fun_deriv("2 * x", mouse = TRUE)

# secants
funplot() %>%
  fun_add("x^2") %>%
  fun_secants(x0 = 5, mouse = TRUE)

JohnCoene/funplot documentation built on May 26, 2019, 7:28 a.m.