fda (version 6.2.0)

checkDims3: Compare dimensions and dimnames of arrays

Description

Compare selected dimensions and dimnames of arrays, coercing objects to 3-dimensional arrays and either give an error or force matching.

Usage

checkDim3(x, y=NULL, xdim=1, ydim=1, defaultNames='x',
         subset=c('xiny', 'yinx', 'neither'),
         xName=substring(deparse(substitute(x)), 1, 33),
         yName=substring(deparse(substitute(y)), 1, 33) )
checkDims3(x, y=NULL, xdim=2:3, ydim=2:3, defaultNames='x',
         subset=c('xiny', 'yinx', 'neither'),
         xName=substring(deparse(substitute(x)), 1, 33),
         yName=substring(deparse(substitute(y)), 1, 33) )

Value

a list with components x and y.

Arguments

x, y

arrays to be compared. If y is missing, x is used.

Currently, both x and y can have at most 3 dimensions. If either has more, an error will be thrown. If either has fewer, it will be expanded to 3 dimensions using as.array3.

xdim, ydim

For checkDim3, these are positive integers indicating which dimension of x will be compared with which dimension of y.

For checkDims3, these are positive integer vectors of the same length, passed one at a time to checkDim3. The default here is to force matching dimensions for plotfit.fd.

defaultNames

Either NULL, FALSE or a character string or vector or list. If NULL, no checking is done of dimnames. If FALSE, an error is thrown unless the corresponding dimensions of x and y match exactly.

If it is a character string, vector, or list, it is used as the default names if neither x nor y have dimenames for the compared dimensions. If it is a character vector that is too short, it is extended to the required length using paste(defaultNames, 1:ni), where ni = the required length.

If it is a list, it should have length (length(xdim)+1). Each component must be either a character vector or NULL. If neither x nor y have dimenames for the first compared dimensions, defaultNames[[1]] will be used instead unless it is NULL, in which case the last component of defaultNames will be used. If it is null, an error is thrown.

subset

If 'xiny', and any(dim(y)[ydim] < dim(x)[xdim]), an error is thrown. Else if any(dim(y)[ydim] > dim(x)[xdim]) the larger is reduced to match the smaller. If 'yinx', this procedure is reversed.

If 'neither', any dimension mismatch generates an error.

xName, yName

names of the arguments x and y, used only to in error messages.

Author

Spencer Graves

Details

For checkDims3, confirm that xdim and ydim have the same length, and call checkDim3 for each pair.

For checkDim3, proceed as follows:

1. if((xdim>3) | (ydim>3)) throw an error.

2. ixperm <- list(1:3, c(2, 1, 3), c(3, 2, 1))[xdim]; iyperm <- list(1:3, c(2, 1, 3), c(3, 2, 1))[ydim];

3. x3 <- aperm(as.array3(x), ixperm); y3 <- aperm(as.array3(y), iyperm)

4. xNames <- dimnames(x3); yNames <- dimnames(y3)

5. Check subset. For example, for subset='xiny', use the following: if(is.null(xNames)){ if(dim(x3)[1]>dim(y3)[1]) stop else y. <- y3[1:dim(x3)[1],,] dimnames(x) <- list(yNames[[1]], NULL, NULL) } else { if(is.null(xNames[[1]])){ if(dim(x3)[1]>dim(y3)[1]) stop else y. <- y3[1:dim(x3)[1],,] dimnames(x3)[[1]] <- yNames[[1]] } else { if(any(!is.element(xNames[[1]], yNames[[1]])))stop else y. <- y3[xNames[[1]],,] } }

6. return(list(x=aperm(x3, ixperm), y=aperm(y., iyperm)))

References

Ramsay, James O., Hooker, Giles, and Graves, Spencer (2009), Functional data analysis with R and Matlab, Springer, New York.

Ramsay, James O., and Silverman, Bernard W. (2005), Functional Data Analysis, 2nd ed., Springer, New York.

Ramsay, James O., and Silverman, Bernard W. (2002), Applied Functional Data Analysis, Springer, New York.

See Also

as.array3 plotfit.fd

Examples

# Select the first two rows of y
stopifnot(all.equal(
checkDim3(1:2, 3:5),
list(x=array(1:2, c(2,1,1), list(c('x1','x2'), NULL, NULL)),
     y=array(3:4, c(2,1,1), list(c('x1','x2'), NULL, NULL)) )
))

# Select the first two rows of a matrix y
stopifnot(all.equal(
checkDim3(1:2, matrix(3:8, 3)),
list(x=array(1:2,         c(2,1,1), list(c('x1','x2'), NULL, NULL)),
     y=array(c(3:4, 6:7), c(2,2,1), list(c('x1','x2'), NULL, NULL)) )
))

# Select the first column of y
stopifnot(all.equal(
checkDim3(1:2, matrix(3:8, 3), 2, 2),
list(x=array(1:2,         c(2,1,1), list(NULL, 'x', NULL)),
     y=array(3:5, c(3,1,1), list(NULL, 'x', NULL)) )
))

# Select the first two rows and the first column of y
stopifnot(all.equal(
checkDims3(1:2, matrix(3:8, 3), 1:2, 1:2),
list(x=array(1:2, c(2,1,1), list(c('x1','x2'), 'x', NULL)),
     y=array(3:4, c(2,1,1), list(c('x1','x2'), 'x', NULL)) )
))

# Select the first 2 rows of y
x1 <- matrix(1:4, 2, dimnames=list(NULL, LETTERS[2:3]))
x1a <- x1. <- as.array3(x1)
dimnames(x1a)[[1]] <- c('x1', 'x2')
y1 <- matrix(11:19, 3, dimnames=list(NULL, LETTERS[1:3]))
y1a <- y1. <- as.array3(y1)
dimnames(y1a)[[1]] <- c('x1', 'x2', 'x3')

stopifnot(all.equal(
checkDim3(x1, y1),
list(x=x1a, y=y1a[1:2, , , drop=FALSE])
))

# Select columns 2 & 3 of y
stopifnot(all.equal(
checkDim3(x1, y1, 2, 2),
list(x=x1., y=y1.[, 2:3, , drop=FALSE ])
))

# Select the first 2 rows and  columns 2 & 3 of y
stopifnot(all.equal(
checkDims3(x1, y1, 1:2, 1:2),
list(x=x1a, y=y1a[1:2, 2:3, , drop=FALSE ])
))

# y = columns 2 and 3 of x
x23 <- matrix(1:6, 2, dimnames=list(letters[2:3], letters[1:3]))
x23. <- as.array3(x23)
stopifnot(all.equal(
checkDim3(x23, xdim=1, ydim=2),
list(x=x23., y=x23.[, 2:3,, drop=FALSE ])
))

# Transfer dimnames from y to x
x4a <- x4 <- matrix(1:4, 2)
y4 <- matrix(5:8, 2, dimnames=list(letters[1:2], letters[3:4]))
dimnames(x4a) <- dimnames(t(y4))
stopifnot(all.equal(
checkDims3(x4, y4, 1:2, 2:1),
list(x=as.array3(x4a), y=as.array3(y4))
))

# as used in plotfit.fd
daybasis65 <- create.fourier.basis(c(0, 365), 65)

daytempfd <- with(CanadianWeather, smooth.basis(
       day.5, dailyAv[,,"Temperature.C"], 
       daybasis65, fdnames=list("Day", "Station", "Deg C"))$fd )

defaultNms <- with(daytempfd, c(fdnames[2], fdnames[3], x='x'))
subset <- checkDims3(CanadianWeather$dailyAv[, , "Temperature.C"],
               daytempfd$coef, defaultNames=defaultNms)
# Problem:  dimnames(...)[[3]] = '1'
# Fix:
subset3 <- checkDims3(
        CanadianWeather$dailyAv[, , "Temperature.C", drop=FALSE],
               daytempfd$coef, defaultNames=defaultNms)