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Bertini
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View File Name :
sortMainDataComponents.tst.m2
needsPackage "Bertini" -- Example F={"x*(x+2*y+3*z^2)","(y^3-x+z)*(z)*(x+2*y+3*z^2)"} makeB'InputFile(storeBM2Files,B'Configs=>{{TrackType,1}},AffVariableGroup=>{x,y,z},B'Polynomials=>F) runBertini(storeBM2Files) listPoints=importMainDataFile(storeBM2Files) assert(#listPoints==6) theComponents=sortMainDataComponents(listPoints) c0=for i in theComponents_0 list (i#ComponentNumber,i#Dimension) c1=for i in theComponents_1 list (i#ComponentNumber,i#Dimension) c2=for i in theComponents_2 list (i#ComponentNumber,i#Dimension) for oneC in {c0,c1,c2} do if #oneC==1 then assert(oneC=={(0, 1)}) for oneC in {c0,c1,c2} do if #oneC==2 then assert(oneC=={(0, 2), (0, 2)}) for oneC in {c0,c1,c2} do if #oneC==3 then assert(oneC=={(1, 1), (1, 1), (1, 1)})