eq: Comparison of two magic squares

In magic: Create and Investigate Magic Squares

Comparison of two magic squares

Description

Compares two magic squares according to Frenicle's method. Mnemonic is the old Fortran “.GT.” (for “Greater Than”) comparison et seq.

To compare magic square a with magic square b, their elements are compared in rowwise order: a[1,1] is compared with b[1,1], then a[1,2] with b[1,2], up to a[n,n]. Consider the first element that is different, say [i,j]. Then a<b if a[i,j]<b[i,j].

The generalization to hypercubes is straightforward: comparisons are carried out natural order.

Usage

eq(m1, m2)
ne(m1, m2)
gt(m1, m2)
lt(m1, m2)
ge(m1, m2)
le(m1, m2)
m1 %eq% m2
m1 %ne% m2
m1 %gt% m2
m1 %lt% m2
m1 %ge% m2
m1 %le% m2

Arguments

m1	First magic square
m2	Second magic square

Note

Rather clumsy function definition due to the degenerate case of testing two identical matrices (min(NULL) is undefined).

The two arguments are assumed to be matrices of the same size. If not, an error is given.

Author(s)

Robin K. S. Hankin

See Also

as.standard

Examples

magic(4) %eq% magic.4n(1)
eq(magic(4) , magic.4n(1))

magic documentation built on Nov. 16, 2022, 9:06 a.m.