sortSolutions(List) -- sort the list of solutions

Synopsis

Usage:
t = sortSolutions s
Function: sortSolutions
Inputs:
- s, a list, contains solutions (represented either by lists of coordinates or points)
Optional inputs:
- Tolerance => ..., -- specifies the tolerance of a numerical computation
Outputs:
- t, a list, contains solutions sorted as described below

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, 1.71331e-30+3.9443e-31*ii}, {-1, -1.71331e-30-3.9443e-31*ii},
     ------------------------------------------------------------------------
     {-4.73317e-30-5.1276e-30*ii, 1}, {4.73317e-30+5.1276e-30*ii, -1}}

o3 : List

i4 : sortSolutions s

o4 = {{-1, -1.71331e-30-3.9443e-31*ii}, {4.73317e-30+5.1276e-30*ii, -1},
     ------------------------------------------------------------------------
     {-4.73317e-30-5.1276e-30*ii, 1}, {1, 1.71331e-30+3.9443e-31*ii}}

o4 : List

sortSolutions(List) -- sort the list of solutions

Synopsis

Description

See also