salad (version 1.2)

MathFun: Mathematical functions

Description

various mathematical functions and methods

Usage

# S3 method for dual
exp(x)
# S3 method for dual
expm1(x)
logNeper(x)
# S3 method for dual
log(x, base = exp(1))
# S3 method for dual
log10(x)
# S3 method for dual
log2(x)
# S3 method for dual
log1p(x)
# S3 method for dual
sqrt(x)
# S3 method for dual
cos(x)
# S3 method for dual
sin(x)
# S3 method for dual
tan(x)
# S3 method for dual
cospi(x)
# S3 method for dual
sinpi(x)
# S3 method for dual
tanpi(x)
# S3 method for dual
acos(x)
# S3 method for dual
asin(x)
# S3 method for dual
atan(x)
# S4 method for dual,dual
atan2(y, x)
# S4 method for dual,numericOrArray
atan2(y, x)
# S4 method for numericOrArray,dual
atan2(y, x)
# S3 method for dual
cosh(x)
# S3 method for dual
sinh(x)
# S3 method for dual
tanh(x)
# S3 method for dual
acosh(x)
# S3 method for dual
asinh(x)
# S3 method for dual
atanh(x)
# S3 method for dual
abs(x)
# S3 method for dual
sign(x)
# S3 method for dual
ceiling(x)
# S3 method for dual
floor(x)
# S3 method for dual
trunc(x, ...)
# S3 method for dual
gamma(x)
# S3 method for dual
lgamma(x)
# S3 method for dual
digamma(x)
# S3 method for dual
trigamma(x)
psigamma.dual(x, deriv = 0)
# S4 method for dual
psigamma(x, deriv = 0)
# S4 method for dual,dual
beta(a, b)
# S4 method for dual,numericOrArray
beta(a, b)
# S4 method for numericOrArray,dual
beta(a, b)
# S4 method for dual,dual
lbeta(a, b)
# S4 method for dual,numericOrArray
lbeta(a, b)
# S4 method for numericOrArray,dual
lbeta(a, b)
factorial.dual(x)
lfactorial.dual(x)
# S4 method for dual,numeric
choose(n, k)
# S4 method for dual,numeric
lchoose(n, k)

Value

All functions return dual objects.

Arguments

x

function argument (dual or numeric object)

base

base to which log is computed

y

first argument of atan2 function (dual or numeric)

...

extra arguments to trunc (unused)

deriv

integer argument to psigamma

a, b

arguments of beta and lbeta (dual or nueumeric)

n

first argument of choose and lchoose (dual)

k

second argument of choose and lchoose (numeric)

Details

The derivative of `abs` is set to be the function `sign`, so its derivative in 0 is considered as null. You may want to redefine `abs` using `dualFun1` to get an undefined derivative.

Examples

x <- dual(1)
y <- log(x)
y
d(y)