subset {hset}

Binary subset and equality relations

Description

Parametrized subset and equality relations between two "hset" objects.

Usage

hset1.included.to.hset2(hset1, hset2, strictly = FALSE, exactly = FALSE)
hset1 <= hset2 # strictly = FALSE, exactly = FALSE
hset1 >= hset2
hset1 <  hset2 # strictly = TRUE,  exactly = FALSE
hset1 >  hset2
hset1 %=<=% hset2 # strictly = FALSE, exactly = TRUE
hset1 %=>=% hset2
hset1 %=<%  hset2 # strictly = TRUE,  exactly = TRUE
hset1 %=>%  hset2

hsets.are.equal(hset1, hset2)
hset1 == hset2
hset1 != hset2

Arguments

hset1, hset2

objects of class "hset".

strictly, exactly

logical flags indicating which type of inclusion relation is evaluated.

Details

Argument exactly not used if the first two arguments are not generalized.

Value

TRUE is returned if hset1 and hset2 are in the indicated relation, otherwise FALSE is returned.

Examples

# subset and equality relation between sets
X1 <- hset(c(2,3)); X2 <- hset(c(2,3))
hset1.included.to.hset2(X1, X2) # X1 <= X2
hset1.included.to.hset2(X1, X2, strictly = TRUE) # X1 < X2
hsets.are.equal(X1, X2) 
X1 == X2; X1 != X2

# subset relations between multisets
Y1 <- hset(c(2,3), c(1,2))
Y2 <- hset(c(2,3,4), c(1,2,1))
Y3 <- hset(c(2,3,4), c(2,2,1))

hset1.included.to.hset2(Y1, Y2) 
Y1 <= Y2; Y1 >= Y2; Y1 != Y2; Y1 < Y2
hset1.included.to.hset2(Y1, Y2, exactly = TRUE) # Y1 %=<=% Y2
Y1 %=<=% Y3; Y1 %=<% Y2; Y1 %=<% Y3