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[11] General Tree Algebra

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1 Overview

This algebra provides the "distdata"[4], "hpoint" and "hrect"[4] type constructors and the following operators ("DATA"[4] could be any type constructor).

  * "getdistdata([_])"[4]\\
    Creates "distdata"[4] attributes from any type constructor for which a distdata type is defined in the "DistDataReg"[4] class.\\[1ex]
    Signature: "DATA -> distdata"[4]\\
    Example: "getdistdata(5)"[4]

  * "getdistdata2([_], [_])"[4]\\
    Like above, but allows to select another than the default distdata type for the resp. type constructor.\\[1ex]
    Signature: "DATA x <distdata-name> -> distdata"[4]\\
    Example: "getdistdata2(2.5, default)"[4]

  * "gethpoint([_])"[4]\\
    Creates "hpoint"[4] attributes from any type constructor for which a gethpoint function is defined in the "HPointReg"[4] class.\\[1ex]
    Signature: "DATA -> hpoint"[4]\\
    Example: "gethpoint(2.5)"[4]

  * "gethpoint2([_], [_])"[4]\\
    Like above, but allows to use another than the default gethpoint function for the resp. type constructor.\\[1ex]
    Signature: "DATA x <gethpointfun-name> -> hpoint"[4]\\
    Example: "gethpoint2(2.5, default)"[4]

  * "getbbox([_])"[4]\\
    Creates "hrect"[4] attributes from any type constructor for which a getbbox function is defined in the "BBoxReg"[4] class.\\[1ex]
    Signature: "DATA -> hrect"[4]\\
    Example: "getbbox(2.5)"[4]

  * "getbbox2([_], [_])"[4]\\
    Like above, but allows to use another than the default getbbox function for the resp. type constructor.\\[1ex]
    Signature: "DATA x <getbboxfun-name> -> hrect"[4]\\
    Example: "getbbox2(2.5, default)"[4]

  * "gdistance([_], [_])"[4]\\
    Computes the distance between two attributes of the same type - a distance function for the resp. type constructor must be defined in the "DistfunReg" class.\\[1ex]
    Signature: "DATA x DATA -> real"[4]\\
    Example: "gdistance(2.5, 7.5)"[4]

  * "gdistance2([_], [_], [_])"[4]\\
    Like above, but allows to select another than the default distance function for the resp. type constructor.\\[1ex]
    Signature: "DATA x DATA x <distfun-name> -> real "[4]\\
    Example: "gdistance2(2.5, 7.5, euclid)"[4]

  * "gdistance3([_], [_], [_], [_])"[4]\\
    Like above, but allows to select another than the default distance function and another than the default distdata type for the resp. type constructor.\\[1ex]
    Signature: "DATA x <distfun-name> x <distdata-name> -> real"[4]\\
    Example: "gdistance3(2.5, 7.5, euclid, native)"[4]

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