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−********************************************************************************
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−*		 Rips-ZZ: Rips Zigzags for Homology Inference                  *
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−********************************************************************************
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−
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−This is an extension to the Rips package of the Dionysus library. It
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−adapts the code of the Morozov zigzag (M-ZZ) and image Rips zigzag
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−(iR-ZZ) to the context of the following paper:
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−
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−Title: Zigzag Zoology: Rips Zigzags for Homology Inference
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−Authors: Steve Y. Oudot and Donald R. Sheehy
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−
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−It also provides two variants of the M-ZZ: the discretized Morozov
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−zigzag (dM-ZZ) and the oscillating Rips zigzag (oR-ZZ).
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−
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−
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−Source files:
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−
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− - M-ZZ.cpp: implementation of the Morozov zigzag
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− - dM-ZZ.cpp: implementation of the discretized Morozov zigzag
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− - oR-ZZ.cpp: implementation of the oscillating Rips zigzag
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− - iR-ZZ.cpp: implementation of the image Rips zigzag
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− - rips-pairwise.cpp: computation of the standard Rips filtration 
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−                      and its persistent homology.
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−
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−Execution:
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−
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− - the list of arguments required by a program can be obtained by
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−   running that program without arguments.
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−
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− - every program takes in a point cloud file, in xyz... format (no
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−   need to indicate the ambient dimension at the beginning of the
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−   file. A sample point cloud is provided in the file
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−   input/spiral_3d_10k.xyz
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−
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− - every program also asks for the name of the output file in which
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−   the barcode will be written. The output format is such that the
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−   file can be executed in Matlab. This creates a cells structures
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−   that can be read by the px_homologyplot function from the PLEX 2.5
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−   library (a copy of which is provided). This function will plot the
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−   barcode dimension per dimension.
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−
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−
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−