├── Makefile ├── README.md ├── documents ├── PointOfIntersection_RayPlane.nb ├── PointOrientation.nb ├── PointOrientation2D_InputInputIntersection.nb ├── PointOrientation2D_InputInputIntersection_simplePerturbation.nb ├── PointOrientation2D_InputInputIntersection_simplePerturbation_withParameters.nb ├── PointOrientation2D_InterInterInter_simplePerturbation_withParameters.nb ├── PointOrientation2D_moreKnowledge_InterInterInter_simplePerturbation_withParameters.nb ├── SoS_GetBestTriangle.nb ├── TriTriIntersectionSoS_CheckingQuadrandDegenerateVertex_Mathematica.nb ├── TriTriIntersectionSoS_CheckingQuadrandDegenerateVertex_exampleInput_Function-Mathematica.nb ├── TriTriIntersectionSoS_CheckingQuadrandDegenerateVertex_exampleInput_Function-Mathematica.nb.zip ├── TriTriIntersectionSoS_CheckingQuadrandDegenerateVertex_exampleInput_Mathematica.nb ├── TriTriIntersectionSoS_Mathematica.nb ├── allOrientationFunctionsCodeGeneration.nb ├── exampleEdgesTriangles.png ├── generatedCode (copy) │ ├── functionList.h │ ├── orient1D_x_00_ii.cpp │ ├── orient1D_x_00_oi.cpp │ ├── orient1D_x_00_oo.cpp │ ├── orient1D_x_01_ii.cpp │ ├── orient1D_x_01_oi.cpp │ ├── orient1D_x_01_oo.cpp │ ├── orient1D_x_10_ii.cpp │ ├── orient1D_x_10_oi.cpp │ ├── orient1D_x_10_oo.cpp │ ├── orient1D_x_11_ii.cpp │ ├── orient1D_x_11_oi.cpp │ ├── orient1D_x_11_oo.cpp │ ├── orient1D_y_00_ii.cpp │ ├── orient1D_y_00_oi.cpp │ ├── orient1D_y_00_oo.cpp │ ├── orient1D_y_01_ii.cpp │ ├── orient1D_y_01_oi.cpp │ ├── orient1D_y_01_oo.cpp │ ├── orient1D_y_10_ii.cpp │ ├── orient1D_y_10_oi.cpp │ ├── orient1D_y_10_oo.cpp │ ├── orient1D_y_11_ii.cpp │ ├── orient1D_y_11_oi.cpp │ ├── orient1D_y_11_oo.cpp │ ├── orient1D_z_00_ii.cpp │ ├── orient1D_z_00_oi.cpp │ ├── orient1D_z_00_oo.cpp │ ├── orient1D_z_01_ii.cpp │ ├── orient1D_z_01_oi.cpp │ ├── orient1D_z_01_oo.cpp │ ├── orient1D_z_10_ii.cpp │ ├── orient1D_z_10_oi.cpp │ ├── orient1D_z_10_oo.cpp │ ├── orient1D_z_11_ii.cpp │ ├── orient1D_z_11_oi.cpp │ └── orient1D_z_11_oo.cpp ├── generatedCode │ ├── functionList.h │ ├── getEpsCoefficientsVertex.cpp │ ├── sosPredicatesImpl.cpp │ └── sosPredicatesImpl.h ├── generatedCode1D (copy) │ ├── functionList.h │ ├── orient1D_x_00_ii.cpp │ ├── orient1D_x_00_oi.cpp │ ├── orient1D_x_00_oo.cpp │ ├── orient1D_x_01_ii.cpp │ ├── orient1D_x_01_oi.cpp │ ├── orient1D_x_01_oo.cpp │ ├── orient1D_x_10_ii.cpp │ ├── orient1D_x_10_oi.cpp │ ├── orient1D_x_10_oo.cpp │ ├── orient1D_x_11_ii.cpp │ ├── orient1D_x_11_oi.cpp │ ├── orient1D_x_11_oo.cpp │ ├── orient1D_y_00_ii.cpp │ ├── orient1D_y_00_oi.cpp │ ├── orient1D_y_00_oo.cpp │ ├── orient1D_y_01_ii.cpp │ ├── orient1D_y_01_oi.cpp │ ├── orient1D_y_01_oo.cpp │ ├── orient1D_y_10_ii.cpp │ ├── orient1D_y_10_oi.cpp │ ├── orient1D_y_10_oo.cpp │ ├── orient1D_y_11_ii.cpp │ ├── orient1D_y_11_oi.cpp │ ├── orient1D_y_11_oo.cpp │ ├── orient1D_z_00_ii.cpp │ ├── orient1D_z_00_oi.cpp │ ├── orient1D_z_00_oo.cpp │ ├── orient1D_z_01_ii.cpp │ ├── orient1D_z_01_oi.cpp │ ├── orient1D_z_01_oo.cpp │ ├── orient1D_z_10_ii.cpp │ ├── orient1D_z_10_oi.cpp │ ├── orient1D_z_10_oo.cpp │ ├── orient1D_z_11_ii.cpp │ ├── orient1D_z_11_oi.cpp │ └── orient1D_z_11_oo.cpp ├── generatedCode2D │ ├── Makefile │ ├── orient2D_x0_000_iii.cpp │ ├── orient2D_x0_000_oii.cpp │ ├── orient2D_x0_000_ooi.cpp │ ├── orient2D_x0_000_ooo.cpp │ ├── orient2D_x0_001_iii.cpp │ ├── orient2D_x0_001_oii.cpp │ ├── orient2D_x0_001_ooi.cpp │ ├── orient2D_x0_001_ooo.cpp │ ├── orient2D_x0_010_iii.cpp │ ├── orient2D_x0_010_oii.cpp │ ├── orient2D_x0_010_ooi.cpp │ ├── orient2D_x0_010_ooo.cpp │ ├── orient2D_x0_011_iii.cpp │ ├── orient2D_x0_011_oii.cpp │ ├── orient2D_x0_011_ooi.cpp │ ├── orient2D_x0_011_ooo.cpp │ ├── orient2D_x0_100_iii.cpp │ ├── orient2D_x0_100_oii.cpp │ ├── orient2D_x0_100_ooi.cpp │ ├── orient2D_x0_100_ooo.cpp │ ├── orient2D_x0_101_iii.cpp │ ├── orient2D_x0_101_oii.cpp │ ├── orient2D_x0_101_ooi.cpp │ ├── orient2D_x0_101_ooo.cpp │ ├── orient2D_x0_110_iii.cpp │ ├── orient2D_x0_110_oii.cpp │ ├── orient2D_x0_110_ooi.cpp │ ├── orient2D_x0_110_ooo.cpp │ ├── orient2D_x0_111_iii.cpp │ ├── orient2D_x0_111_oii.cpp │ ├── orient2D_x0_111_ooi.cpp │ ├── orient2D_x0_111_ooo.cpp │ ├── orient2D_y0_000_iii.cpp │ ├── orient2D_y0_000_oii.cpp │ ├── orient2D_y0_000_ooi.cpp │ ├── orient2D_y0_000_ooo.cpp │ ├── orient2D_y0_001_iii.cpp │ ├── orient2D_y0_001_oii.cpp │ ├── orient2D_y0_001_ooi.cpp │ ├── orient2D_y0_001_ooo.cpp │ ├── orient2D_y0_010_iii.cpp │ ├── orient2D_y0_010_oii.cpp │ ├── orient2D_y0_010_ooi.cpp │ ├── orient2D_y0_010_ooo.cpp │ ├── orient2D_y0_011_iii.cpp │ ├── orient2D_y0_011_oii.cpp │ ├── orient2D_y0_011_ooi.cpp │ ├── orient2D_y0_011_ooo.cpp │ ├── orient2D_y0_100_iii.cpp │ ├── orient2D_y0_100_oii.cpp │ ├── orient2D_y0_100_ooi.cpp │ ├── orient2D_y0_100_ooo.cpp │ ├── orient2D_y0_101_iii.cpp │ ├── orient2D_y0_101_oii.cpp │ ├── orient2D_y0_101_ooi.cpp │ ├── orient2D_y0_101_ooo.cpp │ ├── orient2D_y0_110_iii.cpp │ ├── orient2D_y0_110_oii.cpp │ ├── orient2D_y0_110_ooi.cpp │ ├── orient2D_y0_110_ooo.cpp │ ├── orient2D_y0_111_iii.cpp │ ├── orient2D_y0_111_oii.cpp │ ├── orient2D_y0_111_ooi.cpp │ ├── orient2D_y0_111_ooo.cpp │ ├── orient2D_z0_000_iii.cpp │ ├── orient2D_z0_000_oii.cpp │ ├── orient2D_z0_000_ooi.cpp │ ├── orient2D_z0_000_ooo.cpp │ ├── orient2D_z0_001_iii.cpp │ ├── orient2D_z0_001_oii.cpp │ ├── orient2D_z0_001_ooi.cpp │ ├── orient2D_z0_001_ooo.cpp │ ├── orient2D_z0_010_iii.cpp │ ├── orient2D_z0_010_oii.cpp │ ├── orient2D_z0_010_ooi.cpp │ ├── orient2D_z0_010_ooo.cpp │ ├── orient2D_z0_011_iii.cpp │ ├── orient2D_z0_011_oii.cpp │ ├── orient2D_z0_011_ooi.cpp │ ├── orient2D_z0_011_ooo.cpp │ ├── orient2D_z0_100_iii.cpp │ ├── orient2D_z0_100_oii.cpp │ ├── orient2D_z0_100_ooi.cpp │ ├── orient2D_z0_100_ooo.cpp │ ├── orient2D_z0_101_iii.cpp │ ├── orient2D_z0_101_oii.cpp │ ├── orient2D_z0_101_ooi.cpp │ ├── orient2D_z0_101_ooo.cpp │ ├── orient2D_z0_110_iii.cpp │ ├── orient2D_z0_110_oii.cpp │ ├── orient2D_z0_110_ooi.cpp │ ├── orient2D_z0_110_ooo.cpp │ ├── orient2D_z0_111_iii.cpp │ ├── orient2D_z0_111_oii.cpp │ ├── orient2D_z0_111_ooi.cpp │ ├── orient2D_z0_111_ooo.cpp │ └── testExpressions │ │ ├── SosPredicatesImpl.h │ │ ├── a.out │ │ ├── functionList.h │ │ ├── orient2D_x0_000_iii.cpp │ │ ├── orient2D_x0_000_iii.o │ │ ├── orient2D_x0_000_oii.cpp │ │ ├── orient2D_x0_000_oii.o │ │ ├── orient2D_x0_000_ooi.cpp │ │ ├── orient2D_x0_000_ooi.o │ │ ├── orient2D_x0_000_ooo.cpp │ │ ├── orient2D_x0_000_ooo.o │ │ ├── orient2D_x0_001_iii.cpp │ │ ├── orient2D_x0_001_iii.o │ │ ├── orient2D_x0_001_oii.cpp │ │ ├── orient2D_x0_001_oii.o │ │ ├── orient2D_x0_001_ooi.cpp │ │ ├── orient2D_x0_001_ooi.o │ │ ├── orient2D_x0_001_ooo.cpp │ │ ├── orient2D_x0_001_ooo.o │ │ ├── orient2D_x0_010_iii.cpp │ │ ├── orient2D_x0_010_iii.o │ │ ├── orient2D_x0_010_oii.cpp │ │ ├── orient2D_x0_010_oii.o │ │ ├── orient2D_x0_010_ooi.cpp │ │ ├── orient2D_x0_010_ooi.o │ │ ├── orient2D_x0_010_ooo.cpp │ │ ├── orient2D_x0_010_ooo.o │ │ ├── orient2D_x0_011_iii.cpp │ │ ├── orient2D_x0_011_iii.o │ │ ├── orient2D_x0_011_oii.cpp │ │ ├── orient2D_x0_011_oii.o │ │ ├── orient2D_x0_011_ooi.cpp │ │ ├── orient2D_x0_011_ooi.o │ │ ├── orient2D_x0_011_ooo.cpp │ │ ├── orient2D_x0_011_ooo.o │ │ ├── orient2D_x0_100_iii.cpp │ │ ├── orient2D_x0_100_iii.o │ │ ├── orient2D_x0_100_oii.cpp │ │ ├── orient2D_x0_100_oii.o │ │ ├── orient2D_x0_100_ooi.cpp │ │ ├── orient2D_x0_100_ooi.o │ │ ├── orient2D_x0_100_ooo.cpp │ │ ├── orient2D_x0_100_ooo.o │ │ ├── orient2D_x0_101_iii.cpp │ │ ├── orient2D_x0_101_iii.o │ │ ├── orient2D_x0_101_oii.cpp │ │ ├── orient2D_x0_101_oii.o │ │ ├── orient2D_x0_101_ooi.cpp │ │ ├── orient2D_x0_101_ooi.o │ │ ├── orient2D_x0_101_ooo.cpp │ │ ├── orient2D_x0_101_ooo.o │ │ ├── orient2D_x0_110_iii.cpp │ │ ├── orient2D_x0_110_iii.o │ │ ├── orient2D_x0_110_oii.cpp │ │ ├── orient2D_x0_110_oii.o │ │ ├── orient2D_x0_110_ooi.cpp │ │ ├── orient2D_x0_110_ooi.o │ │ ├── orient2D_x0_110_ooo.cpp │ │ ├── orient2D_x0_110_ooo.o │ │ ├── orient2D_x0_111_iii.cpp │ │ ├── orient2D_x0_111_iii.o │ │ ├── orient2D_x0_111_oii.cpp │ │ ├── orient2D_x0_111_oii.o │ │ ├── orient2D_x0_111_ooi.cpp │ │ ├── orient2D_x0_111_ooi.o │ │ ├── orient2D_x0_111_ooo.cpp │ │ ├── orient2D_x0_111_ooo.o │ │ ├── orient2D_y0_000_iii.cpp │ │ ├── orient2D_y0_000_iii.o │ │ ├── orient2D_y0_000_oii.cpp │ │ ├── orient2D_y0_000_oii.o │ │ ├── orient2D_y0_000_ooi.cpp │ │ ├── orient2D_y0_000_ooi.o │ │ ├── orient2D_y0_000_ooo.cpp │ │ ├── orient2D_y0_000_ooo.o │ │ ├── orient2D_y0_001_iii.cpp │ │ ├── orient2D_y0_001_iii.o │ │ ├── orient2D_y0_001_oii.cpp │ │ ├── orient2D_y0_001_oii.o │ │ ├── orient2D_y0_001_ooi.cpp │ │ ├── orient2D_y0_001_ooi.o │ │ ├── orient2D_y0_001_ooo.cpp │ │ ├── orient2D_y0_001_ooo.o │ │ ├── orient2D_y0_010_iii.cpp │ │ ├── orient2D_y0_010_iii.o │ │ ├── orient2D_y0_010_oii.cpp │ │ ├── orient2D_y0_010_oii.o │ │ ├── orient2D_y0_010_ooi.cpp │ │ ├── orient2D_y0_010_ooi.o │ │ ├── orient2D_y0_010_ooo.cpp │ │ ├── orient2D_y0_010_ooo.o │ │ ├── orient2D_y0_011_iii.cpp │ │ ├── orient2D_y0_011_iii.o │ │ ├── orient2D_y0_011_oii.cpp │ │ ├── orient2D_y0_011_oii.o │ │ ├── orient2D_y0_011_ooi.cpp │ │ ├── orient2D_y0_011_ooi.o │ │ ├── orient2D_y0_011_ooo.cpp │ │ ├── orient2D_y0_011_ooo.o │ │ ├── orient2D_y0_100_iii.cpp │ │ ├── orient2D_y0_100_iii.o │ │ ├── orient2D_y0_100_oii.cpp │ │ ├── orient2D_y0_100_oii.o │ │ ├── orient2D_y0_100_ooi.cpp │ │ ├── orient2D_y0_100_ooi.o │ │ ├── orient2D_y0_100_ooo.cpp │ │ ├── orient2D_y0_100_ooo.o │ │ ├── orient2D_y0_101_iii.cpp │ │ ├── orient2D_y0_101_iii.o │ │ ├── orient2D_y0_101_oii.cpp │ │ ├── orient2D_y0_101_oii.o │ │ ├── orient2D_y0_101_ooi.cpp │ │ ├── orient2D_y0_101_ooi.o │ │ ├── orient2D_y0_101_ooo.cpp │ │ ├── orient2D_y0_101_ooo.o │ │ ├── orient2D_y0_110_iii.cpp │ │ ├── orient2D_y0_110_iii.o │ │ ├── orient2D_y0_110_oii.cpp │ │ ├── orient2D_y0_110_oii.o │ │ ├── orient2D_y0_110_ooi.cpp │ │ ├── orient2D_y0_110_ooi.o │ │ ├── orient2D_y0_110_ooo.cpp │ │ ├── orient2D_y0_110_ooo.o │ │ ├── orient2D_y0_111_iii.cpp │ │ ├── orient2D_y0_111_iii.o │ │ ├── orient2D_y0_111_oii.cpp │ │ ├── orient2D_y0_111_oii.o │ │ ├── orient2D_y0_111_ooi.cpp │ │ ├── orient2D_y0_111_ooi.o │ │ ├── orient2D_y0_111_ooo.cpp │ │ ├── orient2D_y0_111_ooo.o │ │ ├── orient2D_z0_000_iii.cpp │ │ ├── orient2D_z0_000_iii.o │ │ ├── orient2D_z0_000_oii.cpp │ │ ├── orient2D_z0_000_oii.o │ │ ├── orient2D_z0_000_ooi.cpp │ │ ├── orient2D_z0_000_ooi.o │ │ ├── orient2D_z0_000_ooo.cpp │ │ ├── orient2D_z0_000_ooo.o │ │ ├── orient2D_z0_001_iii.cpp │ │ ├── orient2D_z0_001_iii.o │ │ ├── orient2D_z0_001_oii.cpp │ │ ├── orient2D_z0_001_oii.o │ │ ├── orient2D_z0_001_ooi.cpp │ │ ├── orient2D_z0_001_ooi.o │ │ ├── orient2D_z0_001_ooo.cpp │ │ ├── orient2D_z0_001_ooo.o │ │ ├── orient2D_z0_010_iii.cpp │ │ ├── orient2D_z0_010_iii.o │ │ ├── orient2D_z0_010_oii.cpp │ │ ├── orient2D_z0_010_oii.o │ │ ├── orient2D_z0_010_ooi.cpp │ │ ├── orient2D_z0_010_ooi.o │ │ ├── orient2D_z0_010_ooo.cpp │ │ ├── orient2D_z0_010_ooo.o │ │ ├── orient2D_z0_011_iii.cpp │ │ ├── orient2D_z0_011_iii.o │ │ ├── orient2D_z0_011_oii.cpp │ │ ├── orient2D_z0_011_oii.o │ │ ├── orient2D_z0_011_ooi.cpp │ │ ├── orient2D_z0_011_ooi.o │ │ ├── orient2D_z0_011_ooo.cpp │ │ ├── orient2D_z0_011_ooo.o │ │ ├── orient2D_z0_100_iii.cpp │ │ ├── orient2D_z0_100_iii.o │ │ ├── orient2D_z0_100_oii.cpp │ │ ├── orient2D_z0_100_oii.o │ │ ├── orient2D_z0_100_ooi.cpp │ │ ├── orient2D_z0_100_ooi.o │ │ ├── orient2D_z0_100_ooo.cpp │ │ ├── orient2D_z0_100_ooo.o │ │ ├── orient2D_z0_101_iii.cpp │ │ ├── orient2D_z0_101_iii.o │ │ ├── orient2D_z0_101_oii.cpp │ │ ├── orient2D_z0_101_oii.o │ │ ├── orient2D_z0_101_ooi.cpp │ │ ├── orient2D_z0_101_ooi.o │ │ ├── orient2D_z0_101_ooo.cpp │ │ ├── orient2D_z0_101_ooo.o │ │ ├── orient2D_z0_110_iii.cpp │ │ ├── orient2D_z0_110_iii.o │ │ ├── orient2D_z0_110_oii.cpp │ │ ├── orient2D_z0_110_oii.o │ │ ├── orient2D_z0_110_ooi.cpp │ │ ├── orient2D_z0_110_ooi.o │ │ ├── orient2D_z0_110_ooo.cpp │ │ ├── orient2D_z0_110_ooo.o │ │ ├── orient2D_z0_111_iii.cpp │ │ ├── orient2D_z0_111_iii.o │ │ ├── orient2D_z0_111_oii.cpp │ │ ├── orient2D_z0_111_oii.o │ │ ├── orient2D_z0_111_ooi.cpp │ │ ├── orient2D_z0_111_ooi.o │ │ ├── orient2D_z0_111_ooo.cpp │ │ ├── orient2D_z0_111_ooo.o │ │ ├── sosPredicatesImpl.h │ │ ├── test.cpp │ │ └── test.o ├── intersectionTwoLines2D.nb ├── intersectionTwoLines2D_2.nb ├── intersectionTwoLines2D_3.nb ├── list.c ├── list.h ├── orient1D_codeGeneration_steps_usingSumReduceExpression_simplerFunctionEpsCoefficients.nb ├── orient1D_codeGeneration_steps_usingSumReduceExpression_testForPaper.nb ├── orient2D_codeGeneration.nb ├── orient2D_codeGeneration_steps_compileExperiments.nb ├── orient2D_codeGeneration_steps_testExpressions.nb ├── orient2D_codeGeneration_steps_usingSumReduceExpression.nb ├── orient2D_codeGeneration_steps_usingSumReduceExpression_simplerFunctionEpsCoefficients.nb ├── orient2D_codeGeneration_steps_usingSumReduceExpression_testForPaper.nb ├── orient2D_codeGeneration_usingSumReduceExpression.nb ├── orient2D_i_i_i.nb ├── proofNo4CoPlanar.nb ├── proofNo4CoPlanarEdgeEdge.nb ├── proofNoCollinearPointAfterPerturb.nb ├── proofNoPointOnPlane.nb └── simplerCodeGeneration │ ├── generateCodeGetEpsTerms.nb │ ├── getEpsCoefficientsVertex │ └── getEpsCoefficientsVertex.cpp └── src ├── 3dGeometry.cpp ├── 3dGeometry.h ├── 3dGeometryGeometricalPart.cpp ├── 3dGeometryGeometricalPartWithCoincidencies.cpp ├── 3d_objects.cpp ├── 3d_objects.h ├── COPYING.txt ├── PinMesh.cpp ├── PinMesh.h ├── boundaryPolygon.cpp ├── common2.h ├── debuggingUtils.cpp ├── floodFillScanline.cpp ├── floodFillScanline.h ├── geometry ├── 3dGeometryGeometricalPredicates.cpp ├── 3dGeometryGeometricalPredicatesMainImpl.cpp ├── 3dGeometryGeometricalPredicatesMainImplOrig.cpp ├── 3dGeometryGeometricalPredicatesSoSImpl.cpp ├── err.txt ├── getEpsCoefficientsVertex.cpp ├── originalAlgFromMathematicaGetEpsCoefficientsVertex.cpp ├── originalAlgFromMathematicaSosPredicatesImpl.cpp ├── originalAlgFromMathematicaSosPredicatesImpl.h ├── originalAlgFromMathematicaSosPredicatesImplPublicPredicates.cpp ├── sosPredicatesImpl.cpp ├── sosPredicatesImpl.h ├── sosPredicatesImpl.o ├── sosPredicatesImplPublicPredicates.cpp ├── sosPredicatesImplPublicPredicates.o └── tritri_isectline.c ├── meshIntersection (copy).cpp ├── meshIntersection.cpp ├── nested3DGrid.cpp ├── nested3DGrid.h ├── point_in_volume_statistics.cpp ├── rationals.h ├── sos └── isVertexInTriangleProjectionSoS.cpp ├── testLineSegmentIntersection.cpp ├── triangleClassification.cpp ├── triangleClassification.h ├── triangleRetesselation.cpp ├── triangleRetesselation.h ├── triangleRetesselationNoVertexStar.cpp ├── tritri_isectline.c ├── utils.cpp └── utils.h /Makefile: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sallesviana/MeshIntersection/HEAD/Makefile -------------------------------------------------------------------------------- /README.md: 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