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areEqual -- determine if solutions are equal

Synopsis

Description

Comparisons are done coordinatewise using Tolerance as the measure for closeness.
i1 : R = CC[x,y];
i2 : s = solveSystem {x^2+y^2-1, x*y}

o2 = {{{-1, -9.15121e-16-8.37787e-16*ii}}, {{5.50779e-16+5.9409e-17*ii, 1}},
     ------------------------------------------------------------------------
     {{-5.50779e-16-5.9409e-17*ii, -1}}, {{1, 9.8451e-16+8.51665e-16*ii}}}

o2 : List
i3 : areEqual(sortSolutions s, {{{-1, 0}}, {{0, -1}}, {{0, 1}}, {{1, 0}}})

o3 = true

Ways to use areEqual :