Extended GCD over the quadratic ring Z[Sqrt(2)] using the TEuclideanQuadRing object of the
fnx.BigInts.QuadInts unit.
The ring used is Z[Sqrt(2)]
Random quadratic integer A
--------------------------
U=-826451900113318504126853363824103227304
V=-10360592979228788180599853266450408523880708389690494876328345
Random quadratic integer B
--------------------------
U=4641
V=2540742992571
Bezout coefficient X
--------------------
U=-2601262381893
V=1846369240757
Bezout coefficient Y
--------------------
U=-10607377796462405878493317323248353485939949826220117416111939
V=7529089039465614961958497162726006169775959224107165362896526
D = GCD(A,B)
------------
U=-65
V=-46
D is not a unit
Check ((A mod D) = 0) : OK
Check ((B mod D) = 0) : OK
Check ((AX + BY) = D) : OK
XGCD running time = 0.477 ms
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