PURE Corner swap parity algorithms.

[cuber]

I can't seem to find a pure algorithm that swaps corners diagonally and adjacently.

For switching across, I don't have a pure algorithm. (Rr' U2 Ll F2 Ll' F2 Rr2 U2 Rr U2 Rr' U2 F2 Rr2 F2)

For switching diagonal, I don't have an algorithm at all! Can someone please help me? Thanks.

 

[qqwref]

I like this one for diagonal swap:
(L U L') (Uw2 Rw2 U2 r2 U2 Rw2 Uw2) y' (R U R' U' R' F R2 U' R' U' R U R' U' F')

 

[cuber]

I like this one for diagonal swap:
(L U L') (Uw2 Rw2 U2 r2 U2 Rw2 Uw2) y' (R U R' U' R' F R2 U' R' U' R U R' U' F')

I must have really messed up but that wasn't even close to working for me. I guess I just messed up when I saw the w notation. Thanks anyway, though! Replying just shows you're helping.

 

[TMOY]

A pure corner swap doesn't exist, you have to swap two centers as well.
For a semi-pure (preserving solved centers but not unsolved ones) diagonal swap, you can use:
(Lw' U Rw' U2 Lw U' Rw)^2 U' x' U L' U l2 U' L U L2 U2 R U' R d2 R' U R d2 R2 x
(quite long but as close to pure as it is possible to get. It swaps only two U centers diagonally in addition to the corners.)

 

[Christopher Mowla]

Adjacent
z r2 U2 R' U2 R' U2 R x U2 Rw2 U2 B2 L U2 L' U2 Rw2 U2 z' y' (17)

Diagonal
Rw2 F2 U2 y Rw2 U' Rw2 U D Lw2' U' Lw2' y' r2 U2 F2 Rw2 U (16)

EDIT:
A Diagonal which is a conjugate of the adjacent:
z Rw2 R' U2 R x U2 Rw2 U2 B2 L U2 L' U2 Rw2 U2 r2 x' U2 R' U2 Rw2 z' (19)

quite long but as close to pure as it is possible to get

Yeah, as you have probably have already seen (but I am posting for Cüber), this is the shortest I have been able to get for swapping just two X-center pieces for the adjacent case:

r2 y r U l' u2 r U' 2R L2 x' 3d' 2R2 3d L' F' L 3d' 2R2 3d L' x U m U r2 y' (23)

EDIT:
Here is yet another type of algorithm for each case:
Note: The two bold moves can be inverted to achieve the same task.

Diagonal
Rw2 R U2 R U2 R' U2 Rw U2 Rw2 U2 Rw2 U2 Rw L U2 R' U2 R U2 L' Rw2 (22f)

Adjacent
z' x
Rw2 R' U2 Rw U2 Rw2 U2 Rw2 U2 Rw L U2 R' U2 R U2 R L' U2 R U2 Rw2 (22f)
x' z

 

[Kenneth]

T-PLL + PLL parity for adjacent and N-PLL + PLL parity for diagonal, (the two algs may be done in any order).