Nothing
## This file follows the structure of aaa.R in the free group package.
## Tests of deriv() here.
test_that("Test suite aab.R",{
checker1 <- function(x){
expect_true(deriv(x,c(1,2)) == deriv(x,c(2,1)))
expect_true(deriv(x,c(1,2)) == deriv(x,c(2,1)))
expect_true(deriv(x,c(1,2,3)) == deriv(x,c(1,2,3)))
expect_true(deriv(x,c(1,2,3)) == deriv(x,c(1,3,2)))
expect_true(deriv(x,c(1,2,3)) == deriv(x,c(2,1,3)))
expect_true(deriv(x,c(1,2,3)) == deriv(x,c(2,3,1)))
expect_true(deriv(x,c(1,2,3)) == deriv(x,c(3,1,2)))
expect_true(deriv(x,c(1,2,3)) == deriv(x,c(3,2,1)))
return(TRUE)
} # checker1() closes
checker1r <- function(x,r){
f <- function(x){deriv(x,r)}
expect_true(f(x*2) == 2*f(x))
expect_true(f(x^2) == f(x)*x + x*f(x))
expect_true(f(x^3) == f(x)*x*x + x*f(x)*x + x*x*f(x) )
expect_true(f(x^4) == f(x)*x*x*x + x*f(x)*x*x + x*x*f(x)*x + x*x*x*f(x))
return(TRUE)
} # checker1r() closes
checker2 <- function(x,y){
expect_true(deriv(2*x+3*y,1) == 2*deriv(x,1) + 3*deriv(y,1))
expect_true(deriv(x*y,1) == deriv(x,1)*y + x*deriv(y,1))
expect_true(deriv(x*y,2) == deriv(x,2)*y + x*deriv(y,2))
expect_true(deriv(x * y,c(1,2)) ==
deriv(x,c(1,2))* y +
deriv(x,c(1 ))* deriv(y,c( 2)) +
deriv(x,c( 2))* deriv(y,c(1 )) +
x * deriv(y,c(1,2))
)
return(TRUE)
}
checker3 <- function(x,y,z){
expect_true(deriv(x*y*z,1) ==
x*y*deriv(z,1) +
x*deriv(y,1)*z +
deriv(x,1)*y*z
)
return(TRUE)
} # checker3() closes
for(i in 1:2){
for(inc in c(TRUE,FALSE)){
x <- rfalg(5,include.negative=inc)
y <- rfalg(5,include.negative=inc)
z <- rfalg(5,include.negative=inc)
checker1(x)
checker2(x,y)
checker3(x,y,z)
for(r in 1:3){
checker1r(x,r)
} # r loop closes
} # inc loop closes
} # i loop closes
}) # test_that() function closes
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