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importSolutionsFile -- Imports coordinates from a Bertini solution file.

Synopsis

Description

After Bertini does a run many files are created. This function imports the coordinates of solutions from the simple "raw_solutions" file. By using the option NameSolutionsFile=>"real_finite_solutions" we would import solutions from real finite solutions. Other common file names are "nonsingular_solutions", "finite_solutions", "infinite_solutions", and "singular_solutions".

If the NameSolutionsFile option is set to 0 then "nonsingular_solutions" is imported, is set to 1 then "real_finite_solutions" is imported, is set to 2 then "infinite_solutions" is imported, is set to 3 then "finite_solutions" is imported, is set to 4 then "start" is imported, is set to 5 then "raw_solutions" is imported.

i1 : R=QQ[x,y]

o1 = R

o1 : PolynomialRing
i2 : makeB'InputFile(storeBM2Files,
         AffVariableGroup=>{{x,y}},
         B'Polynomials=>{x^2-1,y^3-1});
i3 : runBertini(storeBM2Files)
i4 : importSolutionsFile(storeBM2Files)

o4 = {{1, 1}, {1, -.5+.866025*ii}, {1, -.5-.866025*ii}, {-1, 1}, {-1,
     ------------------------------------------------------------------------
     -.5+.866025*ii}, {-1, -.5-.866025*ii}}

o4 : List
i5 : importSolutionsFile(storeBM2Files,NameSolutionsFile=>"real_finite_solutions")

o5 = {{1, 1}, {-1, 1}}

o5 : List
i6 : importSolutionsFile(storeBM2Files,NameSolutionsFile=>0)

o6 = {{1, 1}, {1, -.5+.866025*ii}, {1, -.5-.866025*ii}, {-1, 1}, {-1,
     ------------------------------------------------------------------------
     -.5+.866025*ii}, {-1, -.5-.866025*ii}}

o6 : List

Ways to use importSolutionsFile:

For the programmer

The object importSolutionsFile is a method function with options.