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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, 1.2562e-15-1.86563e-16*ii}}, {{-3.57303e-16-5.84911e-17*ii, 1}},
     ------------------------------------------------------------------------
     {{3.84625e-16+5.15523e-17*ii, -1}}, {{1, -1.2562e-15+1.86563e-16*ii}}}

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

o3 = true

Ways to use areEqual :