next | previous | forward | backward | up | top | index | toc | Macaulay2 web site
NAGtypes :: sortSolutions(List)

sortSolutions(List) -- sort the list of solutions

Synopsis

Description

The sorting is done lexicographically regarding each complex n-vector as real 2n-vector. The output format of track (missing documentation) and solveSystem (missing documentation) is respected.
For the corresponding coordinates a and b (of two real 2n-vectors) a < b if b-a is larger than Tolerance.

i1 : needsPackage "NumericalAlgebraicGeometry"

o1 = NumericalAlgebraicGeometry

o1 : Package
i2 : R = CC[x,y];
i3 : s = solveSystem {x^2+y^2-1, x*y}

o3 = {{1.47911e-31+5.91646e-31*ii, -1}, {-1.47911e-31-5.91646e-31*ii, 1}, {1,
     ------------------------------------------------------------------------
     -1.38051e-30+7.88861e-31*ii}, {-1, 1.3312e-30-7.88861e-31*ii}}

o3 : List
i4 : sortSolutions s

o4 = {{-1, 1.3312e-30-7.88861e-31*ii}, {1.47911e-31+5.91646e-31*ii, -1},
     ------------------------------------------------------------------------
     {-1.47911e-31-5.91646e-31*ii, 1}, {1, -1.38051e-30+7.88861e-31*ii}}

o4 : List

See also