tfgroupgenerics: Math, Summary and Ops Methods for 'tf'

In tf: S3 Classes and Methods for Tidy Functional Data

Math, Summary and Ops Methods for tf

Description

These methods and operators mostly work arg-value-wise on tf objects, see vctrs::vec_arith() etc. for implementation details.

Usage

## S3 method for class 'tfd'
e1 == e2

## S3 method for class 'tfd'
e1 != e2

## S3 method for class 'tfb'
e1 == e2

## S3 method for class 'tfb'
e1 != e2

## S3 method for class 'tfd'
vec_arith(op, x, y, ...)

## S3 method for class 'tfb'
vec_arith(op, x, y, ...)

## S3 method for class 'tfd'
Math(x, ...)

## S3 method for class 'tfb'
Math(x, ...)

## S3 method for class 'tf'
Summary(...)

## S3 method for class 'tfd'
cummax(...)

## S3 method for class 'tfd'
cummin(...)

## S3 method for class 'tfd'
cumsum(...)

## S3 method for class 'tfd'
cumprod(...)

## S3 method for class 'tfb'
cummax(...)

## S3 method for class 'tfb'
cummin(...)

## S3 method for class 'tfb'
cumsum(...)

## S3 method for class 'tfb'
cumprod(...)

Arguments

e1	an tf or a numeric vector.
e2	an tf or a numeric vector.
op	An arithmetic operator as a string.
x	a tf or numeric object.
y	a tf or numeric object.
...	tf-objects (not used for Math group generic).

Details

• Operations on tfd-objects do not extrapolate functions on a common grid first, they operate on the function at argument values that both objects have in common.

• With the exception of addition and multiplication, operations on tfb-objects first evaluate the data on their arg, perform computations on these evaluations and then convert back to an tfb- object, so a loss of precision should be expected – especially so for small spline bases and/or very wiggly data.

• Equality checks of functional objects are even more iffy than usual for computer math and not very reliable.

• Note that max and min are not guaranteed to be maximal/minimal over the entire domain, only at the argument values used for computation.

See examples below, many more are in tests/testthat/test-ops.R.

Value

a tf- or logical vector with the computed result.

See Also

tf_fwise() for scalar summaries of each function in a tf-vector

Examples

set.seed(1859)
f <- tf_rgp(4)
2 * f == f + f
sum(f) == f[1] + f[2] + f[3] + f[4]
log(exp(f)) == f
plot(f, points = FALSE)
lines(range(f), col = 2, lty = 2)

f2 <- tf_rgp(5) |> exp() |> tfb(k = 25)
layout(t(1:3))
plot(f2, col = gray.colors(5))
plot(cummin(f2), col = gray.colors(5))
plot(cumsum(f2), col = gray.colors(5))

# ?tf_integrate for integrals, ?tf_fwise for scalar summaries of each function

tf documentation built on April 7, 2026, 5:07 p.m.