Fix definitions of == and isless
#103
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Given the definitions of
==andisequalin ForwardDiff#master, the PR reverts 337539f (see #10) and defines both==(x, y)andisequal(x, y)in terms of bothvalue(x)andepsilon(x)etc. This makes==andisequalin DualNumbers consistent,==andisequalmathematically correct.Additionally, the PR fixes
isless: According to its docstring,isless(x, y)shouldOn the master branch, however, the first requirement is not satisfied (e.g., choose
x = dual(3, 0.5)andy = dual(3, 1.0): then neitherisless(x, y),isless(y, x), norisequal(x, y)is satisfied).cc @andreasnoack who was involved in #10