plotFun: Plotting mathematical expressions

In mosaic: Project MOSAIC Statistics and Mathematics Teaching Utilities

Plotting mathematical expressions

Description

Plots mathematical expressions in one and two variables.

Usage

plotFun(
  object,
  ...,
  plot = trellis.last.object(),
  add = NULL,
  under = FALSE,
  xlim = NULL,
  ylim = NULL,
  npts = NULL,
  ylab = NULL,
  xlab = NULL,
  zlab = NULL,
  filled = TRUE,
  levels = NULL,
  nlevels = 10,
  labels = TRUE,
  surface = FALSE,
  groups = NULL,
  col = trellis.par.get("superpose.line")$col,
  col.regions = topo.colors,
  type = "l",
  lwd = trellis.par.get("superpose.line")$lwd,
  lty = trellis.par.get("superpose.line")$lty,
  alpha = NULL,
  discontinuities = NULL,
  discontinuity = 1,
  interactive = rstudio_is_available()
)

Arguments

object	a mathematical expression or a function "of one variable" which will converted to something intuitively equivalent to object(x) ~ x. (See examples)
...	additional parameters, typically processed by lattice functions such as lattice::xyplot(), lattice::levelplot() or their panel functions. Frequently used parameters include main main title for plot sub subtitle for plot lwd line width lty line type col a color or a (small) integer indicating which color in the current color scheme is desired. Additionally, these arguments can be used to specify parameters for the function being plotted and to specify the plotting window with natural names. See the examples for such usage.
plot	a trellis object; by default, the most recently created trellis plot. When add is TRUE, the new function will be plotted into a layer added to this object.
add	if TRUE, then add a layer to an existing plot rather than creating a new plot. If NULL, this will be determined by the value of under.
under	if TRUE, then new layer is added beneath existing layers
xlim	limits for x axis (or use variable names, see examples)
ylim	limits for y axis (or use variable names, see examples)
npts	number of points for plotting.
ylab	label for y axis
xlab	label for x axis
zlab	label for z axis (when in surface-plot mode)
filled	fill with color between the contours (TRUE by default)
levels	levels at which to draw contours
nlevels	number of contours to draw (if levels not specified)
labels	if FALSE, don't label contours
surface	draw a surface plot rather than a contour plot
groups	grouping argument ala lattice graphics
col	vector of colors for line graphs and contours
col.regions	a vector of colors or a function (topo.colors by default) for generating such
type	type of plot ("l" by default)
lwd	vector of line widths for line graphs
lty	vector of line types for line graphs
alpha	number from 0 (transparent) to 1 (opaque) for the fill colors
discontinuities	a vector of input values at which a function is discontinuous or NULL to use a heuristic to auto-detect.
discontinuity	a positive number determining how sensitive the plot is to potential discontinuity. Larger values result in less sensitivity. The default is 1. Use discontinuity = Inf to disable discontinuity detection. Discontinuity detection uses a crude numerical heuristic and may not give the desired results in all cases.
interactive	a logical indicating whether the surface plot should be interactive.

Details

makes plots of mathematical expressions using the formula syntax. Will draw both line plots and contour/surface plots (for functions of two variables). In RStudio, the surface plot comes with sliders to set orientation. If the colors in filled surface plots are too blocky, increase npts beyond the default of 50, though npts=300 is as much as you're likely to ever need. See examples for overplotting a constraint function on an objective function.

Value

a trellis object

Examples

plotFun( a*sin(x^2)~x, xlim=range(-5,5), a=2 )  # setting parameter value
plotFun( u^2 ~ u, ulim=c(-4,4) )                # limits in terms of u
# Note roles of ylim and y.lim in this example
plotFun( y^2 ~ y, ylim=c(-2,20), y.lim=c(-4,4) )    
# Combining plot elements to show the solution to an inequality
plotFun( x^2 -3 ~ x, xlim=c(-4,4), grid=TRUE )
ladd( panel.abline(h=0,v=0,col='gray50') )
plotFun( (x^2 -3) * (x^2 > 3) ~ x, type='h', alpha=.1, lwd=4, col='lightblue', add=TRUE )
plotFun( sin(x) ~ x, 
   groups=cut(x, findZeros(sin(x) ~ x, within=10)$x), 
   col=c('blue','green'), lty=2, lwd=3, xlim=c(-10,10) )
plotFun( sin(x) ~ x, 
   groups=cut(x, findZeros(sin(x) ~ x, within=10)$x), 
   col=c(1,2), lty=2, lwd=3, xlim=c(-10,10) )
## plotFun( sin(2*pi*x/P)*exp(-k*t)~x+t, k=2, P=.3)
f <- rfun( ~ u & v )
plotFun( f(u=u,v=v) ~ u & v, u.lim=range(-3,3), v.lim=range(-3,3) )
plotFun( u^2 + v < 3 ~ u & v, add=TRUE, npts=200 )
if (require(mosaicData)) {
# display a linear model using a formula interface
model <- lm(wage ~ poly(exper,degree=2), data=CPS85)
fit <- makeFun(model)
xyplot(wage ~ exper, data=CPS85)
plotFun(fit(exper) ~ exper, add=TRUE, lwd=3, col="red")
# Can also just give fit since it is a "function of one variable"
plotFun(fit, add=TRUE, lwd=2, col='white')
}
# Attempts to find sensible axis limits by default
plotFun( sin(k*x)~x, k=0.01 )
# Plotting a linear model with multiple predictors.
mod <- lm(length ~ width * sex, data=KidsFeet)
fitted.length <- makeFun(mod)
xyplot(length ~ width, groups=sex, data=KidsFeet, auto.key=TRUE)
plotFun(fitted.length(width, sex="B") ~ width, add=TRUE, col=1)
plotFun(fitted.length(width, sex="G") ~ width, add=TRUE, col=2)

mosaic documentation built on May 29, 2024, 5:27 a.m.