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### Copyright (C) 2001-2006 Deepayan Sarkar <Deepayan.Sarkar@R-project.org>
###
### This file is part of the lattice package for R.
### It is made available under the terms of the GNU General Public
### License, version 2, or at your option, any later version,
### incorporated herein by reference.
###
### This program is distributed in the hope that it will be
### useful, but WITHOUT ANY WARRANTY; without even the implied
### warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
### PURPOSE. See the GNU General Public License for more
### details.
###
### You should have received a copy of the GNU General Public
### License along with this program; if not, write to the Free
### Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
### MA 02110-1301, USA
## Plan: to make things more modular than they are now. As a first
## step, get a function that does a 3d transformation. Probably a good
## idea to do things in terms of homogeneous coordinates
ltransform3dMatrix <- function(screen, R.mat = diag(4))
{
rot.mat <- diag(3)
screen.names <- names(screen)
screen <- lapply(screen, "*", pi/180)
for(i in seq_along(screen.names)) {
th <- screen[[i]]
cth <- cos(th)
sth <- sin(th)
tmp.mat <-
(if (screen.names[i]=="x")
matrix(c(1, 0, 0, 0, cth, sth, 0, -sth, cth), 3, 3)
else if (screen.names[i]=="y")
matrix(c(cth, 0, -sth, 0, 1, 0, sth, 0, cth), 3, 3)
else if (screen.names[i]=="z")
matrix(c(cth, sth, 0, -sth, cth, 0, 0, 0, 1), 3, 3))
rot.mat <- tmp.mat %*% rot.mat
}
rot.mat <- cbind(rot.mat, c(0,0,0))
rot.mat <- rbind(rot.mat, c(0,0,0,1))
if (!missing(R.mat)) rot.mat <- rot.mat %*% R.mat
rot.mat
}
ltransform3dto3d <- function(x, R.mat, dist = 0)
{
if (length(x) == 0) return(x)
tdata <- R.mat %*% rbind(x, 1)
## back to 3d
tdata[1,] <- tdata[1,]/tdata[4,]
tdata[2,] <- tdata[2,]/tdata[4,]
tdata[3,] <- tdata[3,]/tdata[4,]
## now 'perspective' x,y coordinates. z remains unmodified
if (dist != 0) ## 1/dist = distance of eye from center
{
tdata[1,] <- tdata[1,] / (1/dist - tdata[3,])
tdata[2,] <- tdata[2,] / (1/dist - tdata[3,])
}
tdata[1:3, , drop = FALSE]
}
prepanel.default.cloud <-
function(perspective = TRUE,
distance = if (perspective) 0.2 else 0,
xlim, ylim, zlim,
screen = list(z = 40, x = -60),
R.mat = diag(4),
aspect = c(1, 1),
panel.aspect = 1,
...,
zoom = 0.8)
{
rot.mat <- ltransform3dMatrix(screen = screen, R.mat = R.mat)
aspect <- rep(aspect, length.out = 2)
corners <-
rbind(x = c(-1,1,1,-1,-1,1,1,-1),
y = c(-1,-1,-1,-1,1,1,1,1) * aspect[1],
z = c(-1,-1,1,1,-1,-1,1,1) * aspect[2])
corners <- corners / (2 * max(corners)) ## contain in [-.5, .5] cube
corners <- ltransform3dto3d(corners, rot.mat, dist = distance)
xrng <- range(corners[1,])
yrng <- range(corners[2,])
slicelen <- max(diff(xrng), diff(yrng)/ panel.aspect)
list(xlim = extend.limits(xrng, length = slicelen) / zoom,
ylim = extend.limits(yrng, length = panel.aspect * slicelen) / zoom,
dx = 1, dy = 1)
}
panel.3dscatter <-
function(x, y, z, rot.mat = diag(4), distance,
groups = NULL,
type = "p",
xlim, ylim, zlim,
xlim.scaled,
ylim.scaled,
zlim.scaled,
zero.scaled,
col,
## eventually make all these cloud.3d$col etc (or not)
col.point = if (is.null(groups)) plot.symbol$col else superpose.symbol$col,
col.line = if (is.null(groups)) plot.line$col else superpose.line$col,
lty = if (is.null(groups)) plot.line$lty else superpose.line$lty,
lwd = if (is.null(groups)) plot.line$lwd else superpose.line$lwd,
cex = if (is.null(groups)) plot.symbol$cex else superpose.symbol$cex,
pch = if (is.null(groups)) "+" else superpose.symbol$pch,
fill = if (is.null(groups)) plot.symbol$fill else superpose.symbol$fill,
cross,
...,
.scale = FALSE,
subscripts = TRUE,
identifier = "3dscatter")
{
if (.scale)
{
## x, y, z, are usually already scaled to lie within a
## bounding box. However, setting .scale=TRUE will do the
## scaling here; this may be helpful for calls to
## panel.3dscatter() in user-supplied panel functions.
x <- xlim.scaled[1] + diff(xlim.scaled) * (x-xlim[1])/diff(xlim)
y <- ylim.scaled[1] + diff(ylim.scaled) * (y-ylim[1])/diff(ylim)
z <- zlim.scaled[1] + diff(zlim.scaled) * (z-zlim[1])/diff(zlim)
}
##cloud.3d <- list(col=1, cex=1, lty=1, lwd=1, pch=1)
plot.symbol <- trellis.par.get("plot.symbol")
plot.line <- trellis.par.get("plot.line")
superpose.symbol <- trellis.par.get("superpose.symbol")
superpose.line <- trellis.par.get("superpose.line")
if (!missing(col))
{
col.point <- col
col.line <- col
}
n <- length(x)
if (n > 0)
{
if (is.null(groups))
{
col.point <- rep(col.point, length.out = n)
col.line <- rep(col.line, length.out = n)
lty <- rep(lty, length.out = n)
lwd <- rep(lwd, length.out = n)
cex <- rep(cex, length.out = n)
pch <- rep(pch, length.out = n)
fill <- rep(fill, length.out = n)
}
else
{
nvals <- nlevels(as.factor(groups))
groups <- as.numeric(as.factor(groups))[subscripts]
col.point <- rep(col.point, length.out = nvals)[groups]
col.line <- rep(col.line, length.out = nvals)[groups]
lty <- rep(lty, length.out = nvals)[groups]
lwd <- rep(lwd, length.out = nvals)[groups]
cex <- rep(cex, length.out = nvals)[groups]
pch <- rep(pch, length.out = nvals)[groups]
fill <- rep(fill, length.out = nvals)[groups]
}
## The following code deals with different 'type's. (We allow
## for multiple types, but do them sequentially, so
## overplotting may happen. The amount of work required to fix
## this is too much to make it worth the effort.)
## 'points' type
if (any(c("p", "b", "o") %in% type))
{
id <-
((x >= xlim.scaled[1]) & (x <= xlim.scaled[2]) &
(y >= ylim.scaled[1]) & (y <= ylim.scaled[2]) &
(z >= zlim.scaled[1]) & (z <= zlim.scaled[2]) &
!is.na(x) & !is.na(y) & !is.na(z))
m <- ltransform3dto3d(rbind(x, y, z), rot.mat, distance)
ord <- sort.list(m[3,])
ord <- ord[id[ord]]
if (missing(cross)) cross <- all(pch == "+")
if (cross) ## plot symbols are 3d cross hairs
{
tmpx0 <- rep(x[ord], each = 3) - rep(cex[ord], each = 3) * c(0.02, 0, 0)
tmpx1 <- rep(x[ord], each = 3) + rep(cex[ord], each = 3) * c(0.02, 0, 0)
tmpy0 <- rep(y[ord], each = 3) - rep(cex[ord], each = 3) * c(0, 0.02, 0)
tmpy1 <- rep(y[ord], each = 3) + rep(cex[ord], each = 3) * c(0, 0.02, 0)
tmpz0 <- rep(z[ord], each = 3) - rep(cex[ord], each = 3) * c(0, 0, 0.02)
tmpz1 <- rep(z[ord], each = 3) + rep(cex[ord], each = 3) * c(0, 0, 0.02)
m0 <- ltransform3dto3d(rbind(tmpx0, tmpy0, tmpz0), rot.mat, distance)
m1 <- ltransform3dto3d(rbind(tmpx1, tmpy1, tmpz1), rot.mat, distance)
lsegments(x0 = m0[1,], y0 = m0[2,],
x1 = m1[1,], y1 = m1[2,],
col = rep(col.line[ord], each = 3),
...,
identifier = paste(identifier, "points", sep = "."))
}
else
{
lpoints(x = m[1, ord], y = m[2, ord],
col = col.point[ord],
pch = pch[ord],
cex = cex[ord],
fill = fill[ord],
...,
identifier = identifier)
}
}
## 'lines' type
if (any(c("l", "b", "o") %in% type))
{
ord <- if (is.null(groups)) TRUE else sort.list(groups)
tmplen <- length(x)
tmpx0 <- x[ord][-1]
tmpx1 <- x[ord][-tmplen]
tmpy0 <- y[ord][-1]
tmpy1 <- y[ord][-tmplen]
tmpz0 <- z[ord][-1]
tmpz1 <- z[ord][-tmplen]
tmpcol0 <- col.line[ord][-1]
## tmpcol1 <- col.line[ord][-tmplen]
## segments shouldn't join points in different groups
tmpcol0[ groups[ord][-1] != groups[ord][-tmplen] ] <- "transparent"
m0 <- ltransform3dto3d(rbind(tmpx0, tmpy0, tmpz0), rot.mat, distance)
m1 <- ltransform3dto3d(rbind(tmpx1, tmpy1, tmpz1), rot.mat, distance)
## a collection of line segments in 3d space is not well
## ordered. This is just a naive heuristic:
ord <- sort.list(pmax(m0[3,], m1[3,]))
lsegments(x0 = m0[1, ord], y0 = m0[2, ord],
x1 = m1[1, ord], y1 = m1[2, ord],
col = tmpcol0[ord],
lwd = lwd[ord],
lty = lty[ord], ...,
identifier = paste(identifier, "lines", sep = "."))
}
## 'histogram' type
if ("h" %in% type)
{
id <-
((x >= xlim.scaled[1]) & (x <= xlim.scaled[2]) &
(y >= ylim.scaled[1]) & (y <= ylim.scaled[2]) &
!is.na(x) & !is.na(y) & !is.na(z))
m <- ltransform3dto3d(rbind(x, y, z), rot.mat, distance)
ord <- sort.list(m[3,])
ord <- ord[id[ord]]
zero.scaled <-
if (zero.scaled < zlim.scaled[1]) zlim.scaled[1]
else if (zero.scaled > zlim.scaled[2]) zlim.scaled[2]
else zero.scaled
other.end <- ltransform3dto3d(rbind(x, y, zero.scaled), rot.mat, distance)
lsegments(m[1,ord], m[2,ord],
other.end[1,ord], other.end[2,ord],
col = col.line[ord],
lty = lty[ord],
lwd = lwd[ord], ...,
identifier = paste(identifier, "hist", sep = "."))
}
if (any(!(type %in% c("p", "h", "l", "b", "o"))))
{
warning("'type' has unsupported values")
}
}
}
####################################################################
## Interface to C code ##
####################################################################
## the following is now part of the settings
# palette.shade <-
# function(irr, ref, height, saturation = .9)
# {
# hsv(h = height,
# s = 1 - saturation * (1 - (1-ref)^0.5),
# v = irr)
# }
panel.3dwire <-
function(x, y, z, rot.mat = diag(4), distance,
shade = FALSE,
shade.colors.palette = trellis.par.get("shade.colors")$palette,
light.source = c(0, 0, 1000),
xlim, ylim, zlim,
xlim.scaled,
ylim.scaled,
zlim.scaled,
col = if (shade) "transparent" else "black",
lty = 1, lwd = 1,
alpha,
col.groups = superpose.polygon$col,
polynum = 100,
...,
.scale = FALSE,
drape = FALSE,
at,
col.regions = regions$col,
alpha.regions = regions$alpha,
identifier = "3dwire")
{
## a faster version of panel.3dwire that takes advantage of grid
## in R >= 1.8.1's multiple polygon drawing capabilities. The
## solution is a bit hackish, it basically keeps track of the
## polygons to be drawn in a 'global' variable and draws them all
## at once when 'sufficiently many' have been collected.
## x, y, z are in a special form here (compared to most other
## places in lattice). x and y are short ascending, describing the
## grid, and z is the corresponding z values in the order (x1,y1),
## (x1,y2), ... . length(z) == length(x) * length(y). Sometimes, z
## might be a matrix, which indicates multiple surfaces. Above
## description true for each column in that case.
## things are slightly different depending on whether shading is
## being done. If not, things are relatively simple, and in
## particular polygons are drawn one quadrilateral at a
## time. However, if shade=T, facets are drawn triangles at a
## time. The difference is mostly in C code, but some distinctions
## need to be made here as well
if (.scale)
{
## x, y, z, are usually already scaled to lie within a
## bounding box. However, setting .scale=TRUE will do the
## scaling here; this may be helpful for calls to
## panel.3dscatter() in user-supplied panel functions.
x[] <- xlim.scaled[1] + diff(xlim.scaled) * (x-xlim[1])/diff(xlim)
y[] <- ylim.scaled[1] + diff(ylim.scaled) * (y-ylim[1])/diff(ylim)
z[] <- zlim.scaled[1] + diff(zlim.scaled) * (z-zlim[1])/diff(zlim)
}
if (shade) drape <- FALSE ## shade overrides drape
regions <-
if (drape)
trellis.par.get("regions")
else {
bg <- trellis.par.get("background")
if (bg[["col"]] == "transparent")
bg[["col"]] <- "white"
bg
}
numcol <- length(at) - 1
numcol.r <- length(col.regions)
col.regions <-
if (numcol.r <= numcol)
rep(col.regions, length.out = numcol)
else col.regions[floor(1+(1:numcol-1)*(numcol.r-1)/(numcol-1))]
## 2004-03-12 new experimental stuff: when x, y, z are all
## matrices of the same dimension, they represent a 3-D surface
## parametrized on a 2-D grid (the details of the parametrizing
## grid are unimportant).
isParametrizedSurface <- is.matrix(x) && is.matrix(y) && is.matrix(z)
if (isParametrizedSurface)
{
is.na(x) <- (x < xlim.scaled[1] | x > xlim.scaled[2])
is.na(y) <- (y < ylim.scaled[1] | y > ylim.scaled[2])
is.na(z) <- (z < zlim.scaled[1] | z > zlim.scaled[2])
htrange <- extend.limits(sqrt(range(x^2 + y^2 + z^2, finite = TRUE)), prop = 0.01)
ngroups <- 1
}
else
{
ngroups <- if (is.matrix(z)) ncol(z) else 1
superpose.polygon <- trellis.par.get("superpose.polygon")
col.groups <- rep(col.groups, length.out = ngroups)
if (length(col) > 1) col <- rep(col, length.out = ngroups)
## remove things outside xlim and ylim bounds
id.x <- x >= xlim.scaled[1] & x <= xlim.scaled[2]
id.y <- y >= ylim.scaled[1] & y <= ylim.scaled[2]
id.z <- rep(id.y, length(id.x)) & rep(id.x, each = length(id.y))
x <- x[id.x]
y <- y[id.y]
z <- z[id.z]
htrange <- zlim.scaled
}
if (shade)
{
shade.colors.palette <- getFunctionOrName(shade.colors.palette)
pol.x <- numeric(polynum * 3)
pol.y <- numeric(polynum * 3)
pol.fill <- character(polynum)
pol.col <- col
pol.alpha <- trellis.par.get("shade.colors")$alpha
if (!missing(alpha)) pol.alpha <- alpha
count <- 0 ## counts number of polygons stacked up so far
## counts number of times grid.polygon has been called
gridpolycount <- 0
wirePolygon <-
function(xx, yy, misc)
{
## misc:
## 1: cos angle between normal and incident light
## 2: cos angle between reflected light and eye
## 3: z-height averaged
## 4: group indicator
height <- (misc[3] - htrange[1]) / diff(htrange)
invalid <- (is.na(height) || any(is.na(xx)) ||
any(is.na(yy)) || height > 1 || height < 0)
if (!invalid)
{
pol.x[3 * count + 1:3] <<- xx
pol.y[3 * count + 1:3] <<- yy
count <<- count + 1
pol.fill[count] <<-
shade.colors.palette(misc[1], misc[2], height)
if (count == polynum)
{
gridpolycount <<- gridpolycount + 1
grid.polygon(x = pol.x, y = pol.y, id.lengths = rep(3, polynum),
default.units = "native",
name = trellis.grobname(paste(identifier,
"polygons", gridpolycount, sep = "."),
type = "panel"),
gp = gpar(fill = pol.fill,
col = pol.col,
lty = lty, lwd = lwd,
alpha = pol.alpha))
count <<- 0
}
}
}
force(wirePolygon)
.Call(wireframePanelCalculations,
as.double(x),
as.double(y),
as.double(z),
as.double(rot.mat),
as.double(distance),
if (isParametrizedSurface) as.integer(ncol(x)) else as.integer(length(x)),
if (isParametrizedSurface) as.integer(nrow(x)) else as.integer(length(y)),
as.integer(ngroups),
as.double(light.source),
environment(),
as.integer(shade),
as.integer(isParametrizedSurface))
if (count > 0)
{
grid.polygon(x = pol.x[1:(count * 3)], y = pol.y[1:(count * 3)],
default.units = "native", id.lengths = rep(3, count),
name = trellis.grobname(paste(identifier,
"polygons", gridpolycount + 1, sep = "."),
type = "panel"),
gp = gpar(fill = rep(pol.fill, length.out = count),
col = rep(pol.col, length.out = count),
lty = lty, lwd = lwd,
alpha = pol.alpha))
}
}
else ## no shade
{
pol.x <- numeric(polynum * 4)
pol.y <- numeric(polynum * 4)
if (length(col.regions) > 1)
{
pol.fill <- vector(mode(col.regions), polynum)
pol.col <-
if (ngroups == 1 || length(col) == 1) col[1]
else vector(mode(col), polynum)
pol.alpha <- alpha.regions
}
else if (ngroups == 1)
{
pol.fill <- col.regions[1]
pol.col <- col[1]
pol.alpha <- alpha.regions
}
else
{
pol.fill <- vector(mode(col.groups), polynum)
pol.col <-
if (length(col) == 1) col[1]
else vector(mode(col), polynum)
pol.alpha <- superpose.polygon$alpha
}
## FIXME: should alpha override alpha.regions? NO.
## if (!missing(alpha)) pol.alpha <- alpha
count <- 0 ## counts number of polygons stacked up so far
## counts number of times grid.polygon has been called
gridpolycount <- 0
wirePolygon <-
function(xx, yy, misc)
{
## misc:
## 3: z-height averaged
## 4: group indicator
height <- (misc[3] - htrange[1]) / diff(htrange)
invalid <- (is.na(height) || any(is.na(xx)) || any(is.na(yy)) ||
height > 1 || height < 0)
if (!invalid)
{
pol.x[4 * count + 1:4] <<- xx
pol.y[4 * count + 1:4] <<- yy
count <<- count + 1
if (length(col.regions) > 1)
{
pol.fill[count] <<- col.regions[(seq_along(at)[at > misc[3]])[1] - 1 ]
if (ngroups > 1 && length(col) > 1) pol.col[count] <<- col[as.integer(misc[4])]
}
## nothing to do if ngroups == 1
else if (ngroups > 1)
{
pol.fill[count] <<- col.groups[as.integer(as.integer(misc[4]))]
if (length(col) > 1) pol.col[count] <<- col[as.integer(misc[4])]
}
if (count == polynum) {
gridpolycount <<- gridpolycount + 1
grid.polygon(x = pol.x, y = pol.y, id.lengths = rep(4, polynum),
default.units = "native",
name = trellis.grobname(paste(identifier,
"polygons", gridpolycount, sep = "."),
type = "panel"),
gp = gpar(fill = pol.fill,
col = pol.col, ## FIXME: should be adjustcolor(col, alpha.f = alpha)
lty = lty, lwd = lwd,
alpha = pol.alpha))
count <<- 0
}
}
}
force(wirePolygon)
.Call(wireframePanelCalculations,
as.double(x),
as.double(y),
as.double(z),
as.double(rot.mat),
as.double(distance),
if (isParametrizedSurface) as.integer(ncol(x)) else as.integer(length(x)),
if (isParametrizedSurface) as.integer(nrow(x)) else as.integer(length(y)),
as.integer(ngroups),
as.double(light.source),
environment(),
as.integer(shade),
as.integer(isParametrizedSurface))
if (count > 0)
{
grid.polygon(x = pol.x[1:(count * 4)], y = pol.y[1:(count * 4)],
default.units = "native", id.lengths = rep(4, count),
name = trellis.grobname(paste(identifier,
"polygons", gridpolycount + 1, sep = "."),
type = "panel"),
gp = gpar(fill = rep(pol.fill, length.out = count),
col = rep(pol.col, length.out = count),
lty = lty, lwd = lwd,
alpha = pol.alpha))
}
}
}
panel.cloud <-
function(x, y, subscripts, z,
groups = NULL,
perspective = TRUE,
distance = if (perspective) 0.2 else 0,
xlim, ylim, zlim,
panel.3d.cloud = "panel.3dscatter",
panel.3d.wireframe = "panel.3dwire",
screen = list(z = 40, x = -60),
R.mat = diag(4), aspect = c(1, 1),
par.box = NULL,
xlab, ylab, zlab,
xlab.default, ylab.default, zlab.default,
scales.3d,
proportion = 0.6, wireframe = FALSE,
## zoom = 0.8, ## ignored in panel.cloud
## The main problem with scales is that it is difficult
## to figure out the best way to place the scales. They
## can be specified explicitly using scpos if default is
## not OK
scpos,
...,
at, ## this is same as 'at' in wireframe
identifier = "cloud")
{
## x, y, z can be matrices and we want to retain them as matrices.
## The only reasonable things (other than already numeric) are
## factors. Other things will hopefully cause an error down the
## road, and we may want to catch them here some day.
if (is.factor(x)) x <- as.numeric(x)
if (is.factor(y)) y <- as.numeric(y)
if (is.factor(z)) z <- as.numeric(z)
## calculate rotation matrix:
rot.mat <- ltransform3dMatrix(screen = screen, R.mat = R.mat)
## 2004-03-12 new experimental stuff: when x, y, z are all
## matrices of the same dimension, they represent a 3-D surface
## parametrized on a 2-D grid (the details of the parametrizing
## grid are unimportant). This is meant only for wireframe
## In this case, subscripts will be ignored, because it's not
## clear how they should interact
isParametrizedSurface <-
wireframe && is.matrix(x) && is.matrix(y) && is.matrix(z)
if (isParametrizedSurface)
zrng <- extend.limits(sqrt(range(x^2 + y^2 + z^2, finite = TRUE)))
if (length(subscripts) > 0) ## otherwise nothing to draw (not even box ?)
{
## figure out data ranges and tick locations / labels
## Information needed: *lim, scales.3d
## For now, keep *lim as they are, since in cloud / wireframe
## extend.limits type adjustments don't happen by
## default. Even if that's done, this may not be the place to
## do it (shouldn't really need anything more than *lim and
## *axs)
## So, get tick labels, and then convert *lim to numeric
## Although, this is all unnecessary if arrows = TRUE
xlabelinfo <-
calculateAxisComponents(xlim,
at = scales.3d$x.scales$at,
num.limit = NULL,
labels = scales.3d$x.scales$labels,
logsc = scales.3d$x.scales$log,
abbreviate = scales.3d$x.scales$abbreviate,
minlength = scales.3d$x.scales$minlength,
format.posixt = scales.3d$x.scales$format,
n = scales.3d$x.scales$tick.number)
ylabelinfo <-
calculateAxisComponents(ylim,
at = scales.3d$y.scales$at,
num.limit = NULL,
labels = scales.3d$y.scales$labels,
logsc = scales.3d$y.scales$log,
abbreviate = scales.3d$y.scales$abbreviate,
minlength = scales.3d$y.scales$minlength,
format.posixt = scales.3d$y.scales$format,
n = scales.3d$y.scales$tick.number)
zlabelinfo <-
calculateAxisComponents(zlim,
at = scales.3d$z.scales$at,
num.limit = NULL,
labels = scales.3d$z.scales$labels,
logsc = scales.3d$z.scales$log,
abbreviate = scales.3d$z.scales$abbreviate,
minlength = scales.3d$z.scales$minlength,
format.posixt = scales.3d$z.scales$format,
n = scales.3d$z.scales$tick.number)
x.at <- xlabelinfo$at
y.at <- ylabelinfo$at
z.at <- zlabelinfo$at
x.at.lab <- xlabelinfo$labels
y.at.lab <- ylabelinfo$labels
z.at.lab <- zlabelinfo$labels
xlim <- xlabelinfo$num.limit
ylim <- ylabelinfo$num.limit
zlim <- zlabelinfo$num.limit
par.box.final <- trellis.par.get("box.3d")
if (!is.null(par.box)) par.box.final[names(par.box)] <- par.box
aspect <- rep(aspect, length.out = 2)
if (!isParametrizedSurface)
{
x <- x[subscripts]
y <- y[subscripts]
z <- z[subscripts]
}
corners <-
data.frame(x = c(-1, 1, 1,-1,-1, 1, 1,-1),
y = c(-1,-1,-1,-1, 1, 1, 1, 1) * aspect[1],
z = c(-1,-1, 1, 1,-1,-1, 1, 1) * aspect[2])
corners <- corners / (2 * max(corners)) ## contain in [-.5, .5] cube
xlim.scaled <- range(corners$x)
ylim.scaled <- range(corners$y)
zlim.scaled <- range(corners$z)
## denotes scaled ranges of bounding box. passed to
## panel.3dscatter and panel.3dwire in case they are useful
## center of bounding box:
box.center <- matrix(unlist(lapply(corners, mean)), 3, 1)
## these are box boundaries:
pre <- c(1,2,4,1,2,3,4,1,5,6,8,5)
nxt <- c(2,3,3,4,6,7,8,5,6,7,7,8)
## The corners are defined in terms of coordinates in 3-D
## space as above. The actual choice of coordinates ideally
## should not affect anything, but I haven't checked. Box
## boundaries are defined as pairs of corners. The numbers of
## the corners and boundaries are helpful in keeping track of
## things, and are described in the diagram below.
## 1, 2, ..., 8 are the corners, L-1, ..., L-12 the boundaries
##
## L-11
## 8------------------------7
## / | / |
## / | / |
## L-7/ |L-12 L-6/ |
## / | / |
## / | / |
## / | L-3 / |L-10
## 4-------------------------3 |
## | | | |
## | | | |
## | | | |
## | | L-9 | |
## L-4| 5-----------------|-------6
## | / | /
## | / | /
## | / L-2| /L-5
## | / | /
## | /L-8 | /
## | / | /
## |/ |/
## 1-------------------------2
## (0,0,0) L-1
##
##
## Also the 6 FACES are defined in terms of corners (lines)
## as follows:
##
## F-1 : 1,2,3,4 (1,2,3,4)
## F-2 : 2,6,7,3 (5,10,6,2)
## F-3 : 6,5,8,7 (9,12,11,10)
## F-4 : 5,1,4,8 (8,4,7,12)
## F-5 : 1,2,6,5 (1,5,9,8)
## F-6 : 4,3,7,8 (3,6,11,7)
face.corners <- list(c(1,2,3,4),
c(2,6,7,3),
c(6,5,8,7),
c(5,1,4,8),
c(1,2,6,5),
c(4,3,7,8))
face.lines <- list(c(1,2,3,4),
c(5,10,6,2),
c(9,12,11,10),
c(8,4,7,12),
c(1,5,9,8),
c(3,6,11,7))
## SCALES : very beta
tmp <- ltransform3dto3d(t(as.matrix(corners)), rot.mat)
farthest <- 1 ## used later also
farval <- tmp[3,1]
for (i in 2:8)
if (tmp[3,i] < farval) {
farthest <- i
farval <- tmp[3,i]
}
## not foolproof, need to revisit this later
scale.position <-
if (farthest == 1) list(x = 3, y = 7, z = 2)
else if (farthest == 2) list(x = 9, y = 8, z = 10)
else if (farthest == 3) list(x = 11, y = 7, z = 10)
else if (farthest == 4) list(x = 11, y = 6, z = 2)
else if (farthest == 5) list(x = 1, y = 5, z = 4)
else if (farthest == 6) list(x = 1, y = 8, z = 12)
else if (farthest == 7) list(x = 3, y = 7, z = 2)
else if (farthest == 8) list(x = 3, y = 6, z = 10)
##original:
#if (farthest == 1) list(x = 9, y = 5, z = 2)
#else if (farthest == 2) list(x = 9, y = 8, z = 10)
#else if (farthest == 3) list(x = 11, y = 7, z = 10)
#else if (farthest == 4) list(x = 11, y = 6, z = 2)
#else if (farthest == 5) list(x = 1, y = 5, z = 4)
#else if (farthest == 6) list(x = 1, y = 8, z = 12)
#else if (farthest == 7) list(x = 3, y = 7, z = 2)
#else if (farthest == 8) list(x = 3, y = 6, z = 10)
if (!missing(scpos))
scale.position[names(scpos)] <- scpos
scpos <- scale.position
labs <- rbind(x = c(0, corners$x[pre[scpos$y]], corners$x[pre[scpos$z]]),
y = c(corners$y[pre[scpos$x]], 0, corners$y[pre[scpos$z]]),
z = c(corners$z[pre[scpos$x]], corners$z[pre[scpos$y]], 0))
labs[,1] <- labs[,1] * (1 + scales.3d$x.scales$distance/3)
labs[,2] <- labs[,2] * (1 + scales.3d$y.scales$distance/3)
labs[,3] <- labs[,3] * (1 + scales.3d$z.scales$distance/3)
axes <- rbind(x =
c(proportion * corners$x[c(pre[scpos$x], nxt[scpos$x])],
corners$x[c(pre[scpos$y], nxt[scpos$y])],
corners$x[c(pre[scpos$z], nxt[scpos$z])]),
y =
c(corners$y[c(pre[scpos$x], nxt[scpos$x])],
proportion * corners$y[c(pre[scpos$y], nxt[scpos$y])],
corners$y[c(pre[scpos$z], nxt[scpos$z])]),
z =
c(corners$z[c(pre[scpos$x], nxt[scpos$x])],
corners$z[c(pre[scpos$y], nxt[scpos$y])],
proportion * corners$z[c(pre[scpos$z], nxt[scpos$z])]))
axes[,1:2] <- axes[,1:2] * (1 + scales.3d$x.scales$distance/10)
axes[,3:4] <- axes[,3:4] * (1 + scales.3d$y.scales$distance/10)
axes[,5:6] <- axes[,5:6] * (1 + scales.3d$z.scales$distance/10)
## box ranges and lengths
cmin <- lapply(corners, min)
## cmax <- lapply(corners, max)
clen <- lapply(corners, function(x) diff(range(x, finite = TRUE)))
## scaled (to bounding box) data
x <- cmin$x + clen$x * (x-xlim[1])/diff(xlim)
y <- cmin$y + clen$y * (y-ylim[1])/diff(ylim)
z <- cmin$z + clen$z * (z-zlim[1])/diff(zlim)
at <-
if (isParametrizedSurface)
{
zrng.scaled <- extend.limits(sqrt(range(x^2 + y^2 + z^2, finite = TRUE)))
zrng.scaled[1] + diff(zrng.scaled) * (at - zrng[1])/diff(zrng)
}
else cmin$z + clen$z * (at - zlim[1])/diff(zlim)
## same?: zero.scaled <- cmin$z + clen$z * (0 - zlim[1])/diff(zlim)
## yes. cmin$z - clen$z * zlim[1]/diff(zlim)
zero.scaled <- cmin$z - clen$z * zlim[1]/diff(zlim)
## needed in panel.3dscatter for type = 'h'
x.at <- cmin$x + clen$x * (x.at-xlim[1])/diff(xlim)
y.at <- cmin$y + clen$y * (y.at-ylim[1])/diff(ylim)
z.at <- cmin$z + clen$z * (z.at-zlim[1])/diff(zlim)
at.len <- length(x.at)
x.at <- rbind(x = x.at,
y = rep(corners$y[pre[scpos$x]], at.len),
z = rep(corners$z[pre[scpos$x]], at.len))
at.len <- length(y.at)
y.at <- rbind(x = rep(corners$x[pre[scpos$y]], at.len),
y = y.at,
z = rep(corners$z[pre[scpos$y]], at.len))
at.len <- length(z.at)
z.at <- rbind(x = rep(corners$x[pre[scpos$z]], at.len),
y = rep(corners$y[pre[scpos$z]], at.len),
z = z.at)
x.at.end <- x.at + scales.3d$x.scales$tck * .05 * labs[,1]
y.at.end <- y.at + scales.3d$y.scales$tck * .05 * labs[,2]
z.at.end <- z.at + scales.3d$z.scales$tck * .05 * labs[,3]
x.labs <- x.at + 2 * scales.3d$x.scales$tck * .05 * labs[,1]
y.labs <- y.at + 2 * scales.3d$y.scales$tck * .05 * labs[,2]
z.labs <- z.at + 2 * scales.3d$z.scales$tck * .05 * labs[,3]
corners <- ltransform3dto3d(t(as.matrix(corners)), rot.mat, distance)
taxes <- ltransform3dto3d(axes, rot.mat, distance)
x.at <- ltransform3dto3d(x.at, rot.mat, distance)
x.labs <- ltransform3dto3d(x.labs, rot.mat, distance)
x.at.end <- ltransform3dto3d(x.at.end, rot.mat, distance)
y.at <- ltransform3dto3d(y.at, rot.mat, distance)
y.labs <- ltransform3dto3d(y.labs, rot.mat, distance)
y.at.end <- ltransform3dto3d(y.at.end, rot.mat, distance)
z.at <- ltransform3dto3d(z.at, rot.mat, distance)
z.labs <- ltransform3dto3d(z.labs, rot.mat, distance)
z.at.end <- ltransform3dto3d(z.at.end, rot.mat, distance)
tlabs <- ltransform3dto3d(labs, rot.mat, distance)
box.center <- ltransform3dto3d(box.center, rot.mat, distance)
## Shall now determine which bounding lines should be 'hidden'
## (by the data, and hence need to be drawn before the data),
## and which should be 'visible'. Will actually consider each
## face (one at a time), determine if it is 'visible' (had the
## bounding cube been opaque), and if so, mark the lines
## forming that face as 'visible'
## The logical vector 'mark' will correspond to the 12 lines
## (indexing explained in the diagram above). mark = TRUE will
## mean that the line will be drawn AFTER the data is
## drawn. Start off with all mark = FALSE.
## The idea is that for visible faces, the z-value of the
## center of the face will be greater than the z-value of the
## center of the whole box. This doesn't always work for
## perspective plots.
##print(box.center)
mark <- rep(FALSE, 12)
box.center.z <- box.center[3]
for (face in 1:6)
if (mean(corners[3, face.corners[[face]] ]) > box.center.z) ## i.e., face visible
mark[1:12 %in% face.lines[[face]] ] <- TRUE
#for (j in 1:12)
# if (pre[j]==farthest || nxt[j]==farthest)
# mark[j] <- FALSE
## This draws the 'back' of the box, i.e., the portion that
## should be hidden by the data. This doesn't always work
## properly
lsegments(corners[1, pre[!mark]],
corners[2, pre[!mark]],
corners[1, nxt[!mark]],
corners[2, nxt[!mark]],
col = par.box.final$col,
lwd = par.box.final$lwd,
lty = 2,
identifier = paste(identifier, "back.box", sep = "."))
## The following portion of code is responsible for drawing
## the part of the plot driven by the data. The modus operandi
## will be different for cloud and wireframe, since they have
## essentially different purpose. For cloud, the data is
## unstructured, and x, y and z are all passed to the
## panel.3d.cloud function. For wireframe, on the other hand,
## x and y must form a regular grid, which sort(unique(<x|y>))
## is enough to describe (o.w., greater chances of memory
## problems). z would then have to be supplied in a very
## particular order. All this is fine, but a problem arises if
## we want to allow groups -- multiple surfaces. One option is
## to supply a matrix (nx * ny by no.of.groups) for z. This is
## OK, but it precludes the posibility of supplying x and y as
## only their unique values from the very beginning. So that's
## not allowed for grouped displays
if (wireframe)
{
if (isParametrizedSurface)
{
## FIXME: unnecessary copy
tmp <- z
}
else if (is.null(groups))
{
nx <- length(unique(x))
ny <- length(unique(y))
len <- length(z)
if (nx * ny == len)
{
ord <- order(x, y)
tmp <- z[ord]
x <- sort(unique(x[!is.na(x)]))
y <- sort(unique(y[!is.na(y)]))
}
else
{
## which means some rows missing, should be NA
## convert z into a (conceptual) matrix, with NA
## entries for those 'missing' from data
## frame. There's scope for ambiguity here, which
## can be avoided by the user.
tmp <- rep(NA_real_, nx * ny)
ux <- sort(unique(x[!is.na(x)]))
uy <- sort(unique(y[!is.na(y)]))
idx <- match(x, ux)
idy <- match(y, uy)
tmp[(idx - 1) * length(uy) + idy] <- z
x <- ux
y <- uy
}
}
else {
## all surfaces have to be on the same regular
## grid. No row can be missing, though some z-values
## can be NA. Needs a lot of change otherwise
vals <- sort(unique(groups))
## nvals <- length(vals)
tmp <- numeric(0)
for (i in seq_along(vals)) {
id <- (groups[subscripts] == vals[i])
if (any(id)) {
ord <- order(x[id], y[id])
tmp <- cbind(tmp, z[id][ord])
}
}
x <- sort(unique(x))
y <- sort(unique(y))
}
z <- list(NULL) ## hopefully becomes garbage, collected if necessary
panel.3d.wireframe <- getFunctionOrName(panel.3d.wireframe)
pargs <- list(x = x, y = y, z = tmp,
rot.mat = rot.mat,
distance = distance,
at = at,
## col.regions = col.regions,
xlim = xlim,
ylim = ylim,
zlim = zlim,
xlim.scaled = xlim.scaled,
ylim.scaled = ylim.scaled,
zlim.scaled = zlim.scaled,
zero.scaled = zero.scaled,
...)
if (!("..." %in% names(formals(panel.3d.wireframe))))
pargs <- pargs[intersect(names(pargs), names(formals(panel.3d.wireframe)))]
do.call(panel.3d.wireframe, pargs, quote = TRUE)
}
else
{
panel.3d.cloud <- getFunctionOrName(panel.3d.cloud)
pargs <- list(x = x, y = y, z = z,
rot.mat = rot.mat,
distance = distance,
groups = groups,
subscripts = subscripts,
xlim = xlim,
ylim = ylim,
zlim = zlim,
xlim.scaled = xlim.scaled,
ylim.scaled = ylim.scaled,
zlim.scaled = zlim.scaled,
zero.scaled = zero.scaled,
...)
if (!("..." %in% names(formals(panel.3d.cloud))))
pargs <- pargs[intersect(names(pargs), names(formals(panel.3d.cloud)))]
do.call(panel.3d.cloud, pargs, quote = TRUE)
}
## This draws the front of the bounding box
lsegments(corners[1, pre[mark]],
corners[2, pre[mark]],
corners[1, nxt[mark]],
corners[2, nxt[mark]],
col = par.box.final$col,
lty = par.box.final$lty,
lwd = par.box.final$lwd,
identifier = paste(identifier, "front.box", sep = "."))
## Next part for axes. FIXME: ignoring axis.text$lineheight
## because seems overkill, but could add that too.
axis.text <- trellis.par.get("axis.text")
axis.line <- trellis.par.get("axis.line")
xaxis.col.line <-
if (is.logical(scales.3d$x.scales$col.line)) axis.line$col
else scales.3d$x.scales$col.line
xaxis.lty <-
if (is.logical(scales.3d$x.scales$lty)) axis.line$lty
else scales.3d$x.scales$lty
xaxis.lwd <-
if (is.logical(scales.3d$x.scales$lwd)) axis.line$lwd
else scales.3d$x.scales$lwd
xaxis.col.text <-
if (is.logical(scales.3d$x.scales$col)) axis.text$col
else scales.3d$x.scales$col
xaxis.font <-
if (is.logical(scales.3d$x.scales$font)) axis.text$font
else scales.3d$x.scales$font
xaxis.fontface <-
if (is.logical(scales.3d$x.scales$fontface)) axis.text$fontface
else scales.3d$x.scales$fontface
xaxis.fontfamily <-
if (is.logical(scales.3d$x.scales$fontfamily)) axis.text$fontfamily
else scales.3d$x.scales$fontfamily
xaxis.cex <-
if (is.logical(scales.3d$x.scales$cex)) rep(axis.text$cex, length.out = 1)
else scales.3d$x.scales$cex
xaxis.rot <-
if (is.logical(scales.3d$x.scales$rot)) 0
else scales.3d$x.scales$rot
yaxis.col.line <-
if (is.logical(scales.3d$y.scales$col.line)) axis.line$col
else scales.3d$y.scales$col.line
yaxis.lty <-
if (is.logical(scales.3d$y.scales$lty)) axis.line$lty
else scales.3d$y.scales$lty
yaxis.lwd <-
if (is.logical(scales.3d$y.scales$lwd)) axis.line$lwd
else scales.3d$y.scales$lwd
yaxis.col.text <-
if (is.logical(scales.3d$y.scales$col)) axis.text$col
else scales.3d$y.scales$col
yaxis.font <-
if (is.logical(scales.3d$y.scales$font)) axis.text$font
else scales.3d$y.scales$font
yaxis.fontface <-
if (is.logical(scales.3d$y.scales$fontface)) axis.text$fontface
else scales.3d$y.scales$fontface
yaxis.fontfamily <-
if (is.logical(scales.3d$y.scales$fontfamily)) axis.text$fontfamily
else scales.3d$y.scales$fontfamily
yaxis.cex <-
if (is.logical(scales.3d$y.scales$cex)) rep(axis.text$cex, length.out = 1)
else scales.3d$y.scales$cex
yaxis.rot <-
if (is.logical(scales.3d$y.scales$rot)) 0
else scales.3d$y.scales$rot
zaxis.col.line <-
if (is.logical(scales.3d$z.scales$col.line)) axis.line$col
else scales.3d$z.scales$col.line
zaxis.lty <-
if (is.logical(scales.3d$z.scales$lty)) axis.line$lty
else scales.3d$z.scales$lty
zaxis.lwd <-
if (is.logical(scales.3d$z.scales$lwd)) axis.line$lwd
else scales.3d$z.scales$lwd
zaxis.col.text <-
if (is.logical(scales.3d$z.scales$col)) axis.text$col
else scales.3d$z.scales$col
zaxis.font <-
if (is.logical(scales.3d$z.scales$font)) axis.text$font
else scales.3d$z.scales$font
zaxis.fontface <-
if (is.logical(scales.3d$z.scales$fontface)) axis.text$fontface
else scales.3d$z.scales$fontface
zaxis.fontfamily <-
if (is.logical(scales.3d$z.scales$fontfamily)) axis.text$fontfamily
else scales.3d$z.scales$fontfamily
zaxis.cex <-
if (is.logical(scales.3d$z.scales$cex)) rep(axis.text$cex, length.out = 1)
else scales.3d$z.scales$cex
zaxis.rot <-
if (is.logical(scales.3d$z.scales$rot)) 0
else scales.3d$z.scales$rot
if (scales.3d$x.scales$draw) {
if (scales.3d$x.scales$arrows) {
larrows(x0 = taxes[1, 1], y0 = taxes[2, 1],
x1 = taxes[1, 2], y1 = taxes[2, 2],
length = 0.02, unit = "npc",
lty = xaxis.lty,
lwd = xaxis.lwd,
col = xaxis.col.line,
identifier = paste(identifier, "x.axis.arrow",
sep = "."))
}
else {
lsegments(x0 = x.at[1,], y0 = x.at[2,], x1 = x.at.end[1,], y1 = x.at.end[2,],
lty = xaxis.lty,
col = xaxis.col.line,
lwd = xaxis.lwd,
identifier = paste(identifier, "x.axis.ticks",
sep = "."))
ltext(x.at.lab, x = x.labs[1,], y = x.labs[2,],
cex = xaxis.cex,
srt = xaxis.rot,
font = xaxis.font,
fontfamily = xaxis.fontfamily,
fontface = xaxis.fontface,
col = xaxis.col.text,
identifier = paste(identifier, "x.axis.labels",
sep = "."))
}
}
if (scales.3d$y.scales$draw) {
if (scales.3d$y.scales$arrows) {
larrows(x0 = taxes[1, 3], y0 = taxes[2, 3],
x1 = taxes[1, 4], y1 = taxes[2, 4],
length = 0.02, unit = "npc",
lty = yaxis.lty,
lwd = yaxis.lwd,
col = yaxis.col.line,
identifier = paste(identifier, "y.axis.arrow",
sep = "."))
}
else {
lsegments(x0 = y.at[1,], y0 = y.at[2,], x1 = y.at.end[1,], y1 = y.at.end[2,],
lty = yaxis.lty,
col = yaxis.col.line,
lwd = yaxis.lwd,
identifier = paste(identifier, "y.axis.ticks",
sep = "."))
ltext(y.at.lab, x = y.labs[1,], y = y.labs[2,],
cex = yaxis.cex,
srt = yaxis.rot,
font = yaxis.font,
fontfamily = yaxis.fontfamily,
fontface = yaxis.fontface,
col = yaxis.col.text,
identifier = paste(identifier, "y.axis.labels",
sep = "."))
}
}
if (scales.3d$z.scales$draw) {
if (scales.3d$z.scales$arrows) {
larrows(x0 = taxes[1, 5], y0 = taxes[2, 5],
x1 = taxes[1, 6], y1 = taxes[2, 6],
length = 0.02, unit = "npc",
lty = zaxis.lty,
lwd = zaxis.lwd,
col = zaxis.col.line,
identifier = paste(identifier, "z.axis.arrow",
sep = "."))
}
else {
lsegments(x0 = z.at[1,], y0 = z.at[2,], x1 = z.at.end[1,], y1 = z.at.end[2,],
lty = zaxis.lty,
col = zaxis.col.line,
lwd = zaxis.lwd,
identifier = paste(identifier, "z.axis.ticks",
sep = "."))
ltext(z.at.lab, x = z.labs[1,], y = z.labs[2,],
cex = zaxis.cex,
srt = zaxis.rot,
font = zaxis.font,
fontfamily = zaxis.fontfamily,
fontface = zaxis.fontface,
col = zaxis.col.text,
identifier = paste(identifier, "z.axis.labels",
sep = "."))
}
}
xlab <- getLabelList(xlab, trellis.par.get("par.xlab.text"), xlab.default)
ylab <- getLabelList(ylab, trellis.par.get("par.ylab.text"), ylab.default)
zlab <- getLabelList(zlab, trellis.par.get("par.zlab.text"), zlab.default)
## slightly different frm xyplot etc, in that rot can be
## supplied in the *lab lists
xlab <-
grobFromLabelList(xlab, name = trellis.grobname("xlab", type=""))
# rot = if (is.null(xlab$rot)) 0 else xlab$rot)
ylab <-
grobFromLabelList(ylab, name = trellis.grobname("ylab", type=""))
# rot = if (is.null(ylab$rot)) 0 else ylab$rot)
zlab <-
grobFromLabelList(zlab, name = trellis.grobname("zlab", type=""))
# rot = if (is.null(zlab$rot)) 0 else zlab$rot)
if (!is.null(xlab))
{
pushViewport(viewport(x = tlabs[1, 1], y = tlabs[2, 1],
default.units = "native"))
grid.draw(xlab)
upViewport()
}
if (!is.null(ylab))
{
pushViewport(viewport(x = tlabs[1, 2], y = tlabs[2, 2],
default.units = "native"))
grid.draw(ylab)
upViewport()
}
if (!is.null(zlab))
{
pushViewport(viewport(x = tlabs[1, 3], y = tlabs[2, 3],
default.units = "native"))
grid.draw(zlab)
upViewport()
}
}
}
panel.wireframe <- function(...)
panel.cloud(..., wireframe = TRUE)
wireframe <- function(x, data, ...) UseMethod("wireframe")
wireframe.matrix <-
function(x, data = NULL,
zlab = deparse(substitute(x)),
aspect,
..., xlim, ylim,
row.values = seq_len(nrow(x)),
column.values = seq_len(ncol(x)))
{
stopifnot(length(row.values) == nrow(x),
length(column.values) == ncol(x))
ocall <- sys.call(); ocall[[1]] <- quote(wireframe)
if (!is.null(data)) warning("explicit 'data' specification ignored")
form <- eval(z ~ row * column)
if (missing(aspect)) aspect <- pmin(ncol(x) / nrow(x), c(Inf, 1))
data <- expand.grid(row = row.values, column = column.values)
data$z <- as.vector(as.numeric(x))
## if rownames/colnames are non-null, use them to label
if (missing(xlim))
xlim <-
if (!is.null(rownames(x))) rownames(x)
else range(row.values, finite = TRUE)
if (missing(ylim))
ylim <-
if (!is.null(colnames(x))) colnames(x)
else range(column.values, finite = TRUE)
modifyList(wireframe(form, data, zlab = zlab, aspect = aspect,
xlim = xlim, ylim = ylim, ...),
list(call = ocall))
}
wireframe.formula <-
function(x,
data = NULL,
panel = lattice.getOption("panel.wireframe"),
default.prepanel = lattice.getOption("prepanel.default.wireframe"),
...)
{
ocall <- sys.call(); ocall[[1]] <- quote(wireframe)
ccall <- match.call()
ccall$data <- data
ccall$panel <- panel
ccall$default.prepanel <- default.prepanel
ccall[[1]] <- quote(lattice::cloud)
ans <- eval.parent(ccall)
ans$call <- ocall
ans
}
## FIXME: need settings for wireframe line colors (wires), cloud
## points/cross lines (cloud.3d),
cloud <- function(x, data, ...) UseMethod("cloud")
## FIXME: made xlim/ylim similar to levelplot.matrix? What about
## cloud.table?
cloud.matrix <-
function(x, data = NULL, type = 'h',
zlab = deparse(substitute(x)),
aspect,
..., xlim, ylim,
row.values = seq_len(nrow(x)),
column.values = seq_len(ncol(x)))
{
ocall <- sys.call(); ocall[[1]] <- quote(cloud)
stopifnot(length(row.values) == nrow(x),
length(column.values) == ncol(x))
if (!is.null(data)) warning("explicit 'data' specification ignored")
form <- eval(z ~ row * column)
if (missing(aspect)) aspect <- pmin(ncol(x) / nrow(x), c(Inf, 1))
data <-
expand.grid(row = seq_len(nrow(x)),
column = seq_len(ncol(x)))
data$z <- as.vector(as.numeric(x))
## if rownames/colnames are non-null, use them to label
if (missing(xlim))
xlim <-
if (!is.null(rownames(x))) rownames(x)
else range(row.values, finite = TRUE)
if (missing(ylim))
ylim <-
if (!is.null(colnames(x))) colnames(x)
else range(column.values, finite = TRUE)
modifyList(cloud(form, data, type = type, zlab = zlab, aspect = aspect,
xlim = xlim, ylim = ylim, ...),
list(call = ocall))
}
cloud.table <-
function(x, data = NULL, groups = FALSE,
zlab = deparse(substitute(x)),
type = "h", ...)
{
stopifnot(length(dim(x)) > 1)
ocall <- sys.call(); ocall[[1]] <- quote(cloud)
data <- as.data.frame(x)
nms <- names(data)
freq <- which(nms == "Freq")
nms <- nms[-freq]
form <- sprintf("Freq ~ %s * %s", nms[1], nms[2])
nms <- nms[-c(1, 2)]
len <- length(nms)
if (is.logical(groups) && groups && len > 0)
{
groups <- as.name(nms[len])
nms <- nms[-len]
len <- length(nms)
}
else groups <- NULL
if (len > 0)
{
rest <- paste(nms, collapse = "+")
form <- paste(form, rest, sep = "|")
}
modifyList(cloud(as.formula(form), data,
groups = eval(groups),
zlab = zlab,
type = type, ...,
default.scales =
list(x = list(arrows = FALSE),
y = list(arrows = FALSE))),
list(call = ocall))
}
cloud.formula <-
function(x,
data = NULL,
allow.multiple = is.null(groups) || outer,
outer = FALSE,
auto.key = lattice.getOption("default.args")$auto.key,
aspect = c(1,1),
panel.aspect = 1,
panel = lattice.getOption("panel.cloud"),
prepanel = NULL,
scales = list(),
strip = TRUE,
groups = NULL,
xlab,
ylab,
zlab,
xlim = if (is.factor(x)) levels(x) else range(x, finite = TRUE),
ylim = if (is.factor(y)) levels(y) else range(y, finite = TRUE),
zlim = if (is.factor(z)) levels(z) else range(z, finite = TRUE),
at,
drape = FALSE,
pretty = FALSE,
drop.unused.levels = lattice.getOption("drop.unused.levels"),
...,
lattice.options = NULL,
default.scales = list(distance = c(1, 1, 1), arrows = TRUE, axs = axs.default),
default.prepanel = lattice.getOption("prepanel.default.cloud"),
colorkey = any(drape),
col.regions,
alpha.regions,
cuts = 70,
subset = TRUE,
axs.default = "r")
## the axs.default is to (by default) enable scale extension for
## cloud, but not for wireframe. Needs work to be actually
## implemented.
{
stopifnot(is.numeric(panel.aspect))
formula <- x
dots <- list(...)
groups <- eval(substitute(groups), data, environment(formula))
subset <- eval(substitute(subset), data, environment(formula))
if (!is.null(lattice.options))
{
oopt <- lattice.options(lattice.options)
on.exit(lattice.options(oopt), add = TRUE)
}
## Step 1: Evaluate x, y, z etc. and do some preprocessing
form <-
latticeParseFormula(formula, data, dimension = 3,
subset = subset, groups = groups,
multiple = allow.multiple,
outer = outer, subscripts = TRUE,
drop = drop.unused.levels)
## We need to be careful with subscripts here. It HAS to be there,
## and it's to be used to index x, y, z (and not only groups,
## unlike in xyplot etc). This means we have to subset groups as
## well, which is about the only use for the subscripts calculated
## in latticeParseFormula, after which subscripts is regenerated
## as a straight sequence indexing the variables
if (!is.null(form$groups))
groups <-
if (is.matrix(form$groups)) as.vector(form$groups)[form$subscr]
else if (is.data.frame(form$groups))
as.vector(as.matrix(form$groups))[form$subscr]
else form$groups[form$subscr]
subscr <- seq_len(length(form$left))
if (!is.function(panel)) panel <- eval(panel)
if (!is.function(strip)) strip <- eval(strip)
cond <- form$condition
z <- form$left
x <- form$right.x
y <- form$right.y
## (2004-03-12) experimental stuff: when x, y, z are all matrices
## of the same dimension, they represent a 3-D surface
## parametrized on a 2-D grid (the details of the parametrizing
## grid are unimportant). This is meant only for wireframe
isParametrizedSurface <-
is.matrix(x) && is.matrix(y) && is.matrix(z)
if (length(cond) == 0)
{
strip <- FALSE
cond <- list(gl(1, length(x)))
}
if (missing(xlab)) xlab <- form$right.x.name
if (missing(ylab)) ylab <- form$right.y.name
if (missing(zlab)) zlab <- form$left.name
zrng <-
if (isParametrizedSurface)
extend.limits(sqrt(range(x^2 + y^2 + z^2, finite = TRUE)))
else
extend.limits(range(as.numeric(z), finite = TRUE))
if (missing(at))
at <-
if (drape)
{
if (pretty) pretty(zrng, cuts)
else seq(zrng[1], zrng[2], length.out = cuts+2)
}
else zrng
## create a skeleton trellis object with the
## less complicated components:
foo <-
do.call(trellis.skeleton,
c(list(formula = formula,
cond = cond,
aspect = panel.aspect,
strip = strip,
panel = panel,
xlab = NULL,
ylab = NULL,
lattice.options = lattice.options), dots),
quote = TRUE)
##----------------------------------------------------------------+
## xlab, ylab, zlab have special meaning in cloud / wireframe, and|
## need to be passed to the panel function to be processed. These |
## xlab / ylab are dummies to satisfy the usual processing |
## routines ------------------------------------------------------+
dots <- foo$dots # arguments not processed by trellis.skeleton
foo <- foo$foo
foo$call <- sys.call(); foo$call[[1]] <- quote(cloud)
## Step 2: Compute scales.common (leaving out limits for now)
foo <- c(foo, do.call(construct.scales, list(draw=FALSE)))
## scales has to be interpreted differently. Nothing needs to be
## done for the usual scales, but need a scales for panel.cloud
## S-PLUS probably doesn't allow x-y-z-specific scales, but I see
## no reason not to allow that (will not allow limits, though)
scales <- updateList(default.scales, scales)
scales.3d <- do.call(construct.3d.scales, scales)
## Step 3: Decide if limits were specified in call
## Here, always FALSE (in the 2d panel sense)
have.xlim <- FALSE
have.ylim <- FALSE
## Step 4: Decide if log scales are being used: !!!
have.xlog <- !is.logical(scales.3d$x.scales$log) || scales.3d$x.scales$log
have.ylog <- !is.logical(scales.3d$y.scales$log) || scales.3d$y.scales$log
have.zlog <- !is.logical(scales.3d$z.scales$log) || scales.3d$z.scales$log
if (have.xlog)
{
xlog <- scales.3d$x.scales$log
xbase <-
if (is.logical(xlog)) 10
else if (is.numeric(xlog)) xlog
else if (xlog == "e") exp(1)
x <- log(x, xbase)
if (!missing(xlim)) xlim <- logLimits(xlim, xbase)
}
if (have.ylog)
{
ylog <- scales.3d$y.scales$log
ybase <-
if (is.logical(ylog)) 10
else if (is.numeric(ylog)) ylog
else if (ylog == "e") exp(1)
y <- log(y, ybase)
if (!missing(ylim)) ylim <- logLimits(ylim, ybase)
}
if (have.zlog)
{
zlog <- scales.3d$z.scales$log
zbase <-
if (is.logical(zlog)) 10
else if (is.numeric(zlog)) zlog
else if (zlog == "e") exp(1)
z <- log(z, zbase)
if (!missing(zlim)) zlim <- logLimits(zlim, zbase)
}
## Step 5: Process cond
cond.max.level <- unlist(lapply(cond, nlevels))
if (is.logical(colorkey))
{
if (colorkey)
{
colorkey <- list(at = at, space = "right")
if (!missing(col.regions)) colorkey$col <- col.regions
if (!missing(alpha.regions)) colorkey$alpha <- alpha.regions
}
else colorkey <- NULL
}
else if (is.list(colorkey))
{
tmp <- ## FIXME: does the inside thing work? probably not
list(space = if (any(c("x", "y", "corner") %in% names(colorkey))) "inside" else "right",
at = at)
if (!missing(col.regions)) tmp$col <- col.regions
if (!missing(alpha.regions)) tmp$alpha <- alpha.regions
colorkey <- updateList(tmp, colorkey)
}
foo$legend <-
construct.legend(foo$legend,
colorkey,
fun = "draw.colorkey")
####################################
# if (!drape) col.regions <- trellis.par.get("background")$col
# ## region
# numcol <- length(at) - 1
# numcol.r <- length(col.regions)
# col.regions <-
# if (numcol.r <= numcol)
# rep(col.regions, length.out = numcol)
# else col.regions[floor(1+(1:numcol-1)*(numcol.r-1)/(numcol-1))]
# if (is.logical(colorkey))
# {
# if (colorkey) colorkey <-
# list(space = "right", col = col.regions,
# at = at, tick.number = 7)
# else colorkey <- NULL
# }
# else if (is.list(colorkey))
# {
# ##foo$colorkey <- colorkey
# if (is.null(colorkey$col)) colorkey$col <- col.regions
# if (is.null(colorkey$at)) colorkey$at <- at
# if (is.null(colorkey$space)) colorkey$space <-
# if (any(c("x", "y", "corner") %in% names(colorkey))) "inside" else "right"
# }
# foo$legend <-
# construct.legend(foo$legend,
# colorkey,
# fun = "draw.colorkey")
#################################
## maybe *lim = NULL with relation = "free" ?
## Process limits here ? Needs some thought
## Step 6: Determine packets
foo$panel.args.common <-
c(list(x = x, y = y, z = z,
## rot.mat = rot.mat,
## zoom = zoom,
xlim = xlim, ylim = ylim, zlim = zlim,
xlab = xlab, ylab = ylab, zlab = zlab,
xlab.default = form$right.x.name,
ylab.default = form$right.y.name,
zlab.default = form$left.name,
##distance = if (perspective) distance else 0,
aspect = aspect,
panel.aspect = panel.aspect,
drape = drape,
scales.3d = scales.3d,
at = at),
dots)
if (!missing(col.regions)) foo$panel.args.common$col.regions <- col.regions
if (!missing(alpha.regions)) foo$panel.args.common$alpha.regions <- alpha.regions
if (!is.null(groups)) foo$panel.args.common$groups <- groups
npackets <- prod(cond.max.level)
if (npackets != prod(sapply(foo$condlevels, length)))
stop("mismatch in number of packets")
foo$panel.args <- vector(mode = "list", length = npackets)
foo$packet.sizes <- numeric(npackets)
if (npackets > 1)
{
dim(foo$packet.sizes) <- sapply(foo$condlevels, length)
dimnames(foo$packet.sizes) <- lapply(foo$condlevels, as.character)
}
cond.current.level <- rep(1, length(cond))
for (packet.number in seq_len(npackets))
{
id <- compute.packet(cond, cond.current.level)
foo$packet.sizes[packet.number] <- sum(id)
foo$panel.args[[packet.number]] <-
list(subscripts = subscr[id])
cond.current.level <-
cupdate(cond.current.level,
cond.max.level)
}
more.comp <-
c(limits.and.aspect(default.prepanel,
prepanel = prepanel,
have.xlim = have.xlim, xlim = xlim,
have.ylim = have.ylim, ylim = ylim,
x.relation = foo$x.scales$relation,
y.relation = foo$y.scales$relation,
panel.args.common = foo$panel.args.common,
panel.args = foo$panel.args,
aspect = panel.aspect,
npackets = npackets),
cond.orders(foo))
foo[names(more.comp)] <- more.comp
if (is.null(foo$legend) && needAutoKey(auto.key, groups))
{
foo$legend <-
autoKeyLegend(list(text = levels(as.factor(groups)),
points = TRUE,
rectangles = FALSE,
lines = FALSE),
auto.key)
}
class(foo) <- "trellis"
foo
}
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