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PDL::Internals

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NAME
       PDL::Internals - description of some aspects of the current internals

DESCRIPTION
       Intro

       This document explains various aspects of the current implementation of
       PDL. If you just want to use PDL for something, you definitely do not
       need to read this. Even if you want to interface your C routines to PDL
       or create new PDL::PP functions, you do not need to read this man page
       (though it may be informative). This document is primarily intended for
       people interested in debugging or changing the internals of PDL. To
       read this, a good understanding of the C language and programming and
       data structures in general is required, as well as some Perl under-
       standing. If you read through this document and understand all of it
       and are able to point what any part of this document refers to in the
       PDL core sources and additionally struggle to understand PDL::PP, you
       will be awarded the title "PDL Guru" (of course, the current version of
       this document is so incomplete that this is next to impossible from
       just these notes).

       Warning: If it seems that this document has gotten out of date, please
       inform the PDL porters email list (pdl-porters AT jach.edu).  This
       may well happen.

       Piddles

       The pdl data object is generally an opaque scalar reference into a pdl
       structure in memory. Alternatively, it may be a hash reference with the
       "PDL" field containing the scalar reference (this makes overloading
       piddles easy, see PDL::Objects). You can easily find out at the Perl
       level which type of piddle you are dealing with. The example code below
       demonstrates how to do it:

          # check if this a piddle
          die "not a piddle" unless UNIVERSAL::isa($pdl, 'PDL');
          # is it a scalar ref or a hash ref?
          if (UNIVERSAL::isa($pdl, "HASH")) {
            die "not a valid PDL" unless exists $pdl->{PDL} &&
               UNIVERSAL::isa($pdl->{PDL},'PDL');
            print "This is a hash reference,",
               " the PDL field contains the scalar ref\n";
          } else {
               print "This is a scalar ref that points to address $$pdl in memory\n";
          }

       The scalar reference points to the numeric address of a C structure of
       type "pdl" which is defined in pdl.h. The mapping between the object at
       the Perl level and the C structure containing the actual data and
       structural that makes up a piddle is done by the PDL typemap.  The
       functions used in the PDL typemap are defined pretty much at the top of
       the file pdlcore.h. So what does the structure look like:

               struct pdl {
                  unsigned long magicno; /* Always stores PDL_MAGICNO as a sanity check */
                    /* This is first so most pointer accesses to wrong type are caught */
                  int state;        /* What's in this pdl */

                  pdl_trans *trans; /* Opaque pointer to internals of transformation from
                                       parent */

                  pdl_vaffine *vafftrans;

                  void*    sv;      /* (optional) pointer back to original sv.
                                         ALWAYS check for non-null before use.
                                         We cannot inc refcnt on this one or we'd
                                         never get destroyed */

                  void *datasv;        /* Pointer to SV containing data. Refcnt inced */
                  void *data;            /* Null: no data alloced for this one */
                  int nvals;           /* How many values allocated */
                  int datatype;
                  PDL_Long   *dims;      /* Array of data dimensions */
                  PDL_Long   *dimincs;   /* Array of data default increments */
                  short    ndims;     /* Number of data dimensions */

                  unsigned char *threadids;  /* Starting index of the thread index set n */
                  unsigned char nthreadids;

                  pdl *progenitor; /* I'm in a mutated family. make_physical_now must
                                      copy me to the new generation. */
                  pdl *future_me;  /* I'm the "then" pdl and this is my "now" (or more modern
                                      version, anyway */

                  pdl_children children;

                  short living_for; /* perl side not referenced; delete me when */

                  PDL_Long   def_dims[PDL_NDIMS];   /* Preallocated space for efficiency */
                  PDL_Long   def_dimincs[PDL_NDIMS];   /* Preallocated space for efficiency */
                  unsigned char def_threadids[PDL_NTHREADIDS];

                  struct pdl_magic *magic;

                  void *hdrsv; /* "header", settable from outside */
               };

       This is quite a structure for just storing some data in - what is going
       on?

       Data storage
            We are going to start with some of the simpler members: first of
            all, there is the member

                    void *datasv;

            which is really a pointer to a Perl SV structure ("SV *"). The SV
            is expected to be representing a string, in which the data of the
            piddle is stored in a tightly packed form. This pointer counts as
            a reference to the SV so the reference count has been incremented
            when the "SV *" was placed here (this reference count business has
            to do with Perl's garbage collection mechanism -- don't worry if
            this doesn't mean much to you). This pointer is allowed to have
            the value "NULL" which means that there is no actual Perl SV for
            this data - for instance, the data might be allocated by a "mmap"
            operation. Note the use of an SV* was purely for convenience, it
            allows easy transformation of packed data from files into piddles.
            Other implementations are not excluded.

            The actual pointer to data is stored in the member

                    void *data;

            which contains a pointer to a memory area with space for

                    int nvals;

            data items of the data type of this piddle.

            The data type of the data is stored in the variable

                    int datatype;

            the values for this member are given in the enum "pdl_datatypes"
            (see pdl.h). Currently we have byte, short, unsigned short, long,
            float and double types, see also PDL::Types.

       Dimensions
            The number of dimensions in the piddle is given by the member

                    int ndims;

            which shows how many entries there are in the arrays

                    PDL_Long   *dims;
                    PDL_Long   *dimincs;

            These arrays are intimately related: "dims" gives the sizes of the
            dimensions and "dimincs" is always calculated by the code

                    int inc = 1;
                    for(i=0; i<it->ndims; i++) {
                            it->dimincs[i] = inc; inc *= it->dims[i];
                    }

            in the routine "pdl_resize_defaultincs" in "pdlapi.c".  What this
            means is that the dimincs can be used to calculate the offset by
            code like

                    int offs = 0;
                    for(i=0; i<it->ndims; i++) {
                            offs += it->dimincs[i] * index[i];
                    }

            but this is not always the right thing to do, at least without
            checking for certain things first.

       Default storage
            Since the vast majority of piddles don't have more than 6 dimen-
            sions, it is more efficient to have default storage for the dimen-
            sions and dimincs inside the PDL struct.

                    PDL_Long   def_dims[PDL_NDIMS];
                    PDL_Long   def_dimincs[PDL_NDIMS];

            The "dims" and "dimincs" may be set to point to the beginning of
            these arrays if "ndims" is smaller than or equal to the compile-
            time constant "PDL_NDIMS". This is important to note when freeing
            a piddle struct.  The same applies for the threadids:

                    unsigned char def_threadids[PDL_NTHREADIDS];

       Magic
            It is possible to attach magic to piddles, much like Perl's own
            magic mechanism. If the member pointer

                       struct pdl_magic *magic;

            is nonzero, the PDL has some magic attached to it. The implementa-
            tion of magic can be gleaned from the file pdlmagic.c in the dis-
            tribution.

       State
            One of the first members of the structure is

                    int state;

            The possible flags and their meanings are given in "pdl.h".  These
            are mainly used to implement the lazy evaluation mechanism and
            keep track of piddles in these operations.

       Transformations and virtual affine transformations
            As you should already know, piddles often carry information about
            where they come from. For example, the code

                    $b = $a->slice("2:5");
                    $b .= 1;

            will alter $a. So $b and $a know that they are connected via a
            "slice"-transformation. This information is stored in the members

                    pdl_trans *trans;
                    pdl_vaffine *vafftrans;

            Both $a (the parent) and $b (the child) store this information
            about the transformation in appropriate slots of the "pdl" struc-
            ture.

            "pdl_trans" and "pdl_vaffine" are structures that we will look at
            in more detail below.

       The Perl SVs
            When piddles are referred to through Perl SVs, we store an addi-
            tional reference to it in the member

                    void*    sv;

            in order to be able to return a reference to the user when he
            wants to inspect the transformation structure on the Perl side.

            Also, we store an opaque

                    void *hdrsv;

            which is just for use by the user to hook up arbitrary data with
            this sv.  This one is generally manipulated through sethdr and
            gethdr calls.

       Smart references and transformations: slicing and dicing

       Smart references and most other fundamental functions operating on pid-
       dles are implemented via transformations (Aas mentioned above) which
       are represented by the type "pdl_trans" in PDL.

       A transformation links input and output piddles and contains all the
       infrastructure that defines how

       o   output piddles are obtained from input piddles

       o   changes in smartly linked output piddles (e.g. the child of a
           sliced parent piddle) are flown back to the input piddle in trans-
           formations where this is supported (the most often used example
           being "slice" here).

       o   datatype and size of output piddles that need to be created are
           obtained

       In general, executing a PDL function on a group of piddles results in
       creation of a transformation of the requested type that links all input
       and output arguments (at least those that are piddles). In PDL func-
       tions that support data flow between input and output args (e.g.
       "slice", "index") this transformation links parent (input) and child
       (output) piddles permanently until either the link is explicitly broken
       by user request ("sever" at the perl level) or all parents and childen
       have been destroyed. In those cases the transformation is lazy-evalu-
       ated, e.g. only executed when piddle values are actually accessed.

       In non-flowing functions, for example addition ("+") and inner products
       ("inner"), the transformation is installed just as in flowing functions
       but then the transformation is immediately executed and destroyed
       (breaking the link between input and output args) before the function
       returns.

       It should be noted that the close link between input and output args of
       a flowing function (like slice) requires that piddle objects that are
       linked in such a way be kept alive beyond the point where they have
       gone out of scope from the point of view of perl:

         $a = zeroes(20);
         $b = $a->slice('2:4');
         undef $a;    # last reference to $a is now destroyed

       Although $a should now be destroyed according to perl's rules the
       underlying "pdl" structure must actually only be freed when $b also
       goes out of scope (since it still references internally some of $a's
       data). This example demonstrates that such a dataflow paradigm between
       PDL objects necessitates a special destruction algorithm that takes the
       links between piddles into account and couples the lifespan of those
       objects. The non-trivial algorithm is implemented in the function
       "pdl_destroy" in pdlapi.c. In fact, most of the code in pdlapi.c and
       pdlfamily.c is concerned with making sure that piddles ("pdl *"s) are
       created, updated and freed at the right times depending on interactions
       with other piddles via PDL transformations (remember, "pdl_trans").

       Accessing children and parents of a piddle

       When piddles are dynamically linked via transformations as suggested
       above input and output piddles are referred to as parents and children,
       respectively.

       An example of processing the children of a piddle is provided by the
       "baddata" method of PDL::Bad (only available if you have comiled PDL
       with the "WITH_BADVAL" option set to 1, but still useful as an exam-
       ple!).

       Consider the following situation:

        perldl> $a = rvals(7,7,Centre=>[3,4]);
        perldl> $b = $a->slice('2:4,3:5');
        perldl> ? vars
        PDL variables in package main::

        Name         Type   Dimension       Flow  State          Mem
        ----------------------------------------------------------------
        $a           Double D [7,7]                P            0.38Kb
        $b           Double D [3,3]                VC           0.00Kb

       Now, if I suddenly decide that $a should be flagged as possibly con-
       taining bad values, using

        perldl> $a->baddata(1)

       then I want the state of $b - it's child - to be changed as well (since
       it will either share or inherit some of $a's data and so be also bad),
       so that I get a 'B' in the State field:

        perldl> ? vars
        PDL variables in package main::

        Name         Type   Dimension       Flow  State          Mem
        ----------------------------------------------------------------
        $a           Double D [7,7]                PB           0.38Kb
        $b           Double D [3,3]                VCB          0.00Kb

       This bit of magic is performed by the "propogate_badflag" function,
       which is listed below:

        /* newval = 1 means set flag, 0 means clear it */
        /* thanks to Christian Soeller for this */

        void propogate_badflag( pdl *it, int newval ) {
           PDL_DECL_CHILDLOOP(it)
           PDL_START_CHILDLOOP(it)
           {
               pdl_trans *trans = PDL_CHILDLOOP_THISCHILD(it);
               int i;
               for( i = trans->vtable->nparents;
                    i < trans->vtable->npdls;
                    i++ ) {
                   pdl *child = trans->pdls[i];

                   if ( newval ) child->state |=  PDL_BADVAL;
                   else          child->state &= ~PDL_BADVAL;

                   /* make sure we propogate to grandchildren, etc */
                   propogate_badflag( child, newval );

               } /* for: i */
           }
           PDL_END_CHILDLOOP(it)
        } /* propogate_badflag */

       Given a piddle ("pdl *it"), the routine loops through each "pdl_trans"
       structure, where access to this structure is provided by the
       "PDL_CHILDLOOP_THISCHILD" macro.  The children of the piddle are stored
       in the "pdls" array, after the parents, hence the loop from "i =
       ...nparents" to "i = ...nparents - 1".  Once we have the pointer to the
       child piddle, we can do what we want to it; here we change the value of
       the "state" variable, but the details are unimportant).  What is impor-
       tant is that we call "propogate_badflag" on this piddle, to ensure we
       loop through its children. This recursion ensures we get to all the
       offspring of a particular piddle.

       Access to parents is similar, with the "for" loop replaced by:

               for( i = 0;
                    i < trans->vtable->nparents;
                    i++ ) {
                  /* do stuff with parent #i: trans->pdls[i] */
               }

       What's in a transformation ("pdl_trans")

       All transformations are implemented as structures

         struct XXX_trans {
               int magicno; /* to detect memory overwrites */
               short flags; /* state of the trans */
               pdl_transvtable *vtable;   /* the all important vtable */
               void (*freeproc)(struct pdl_trans *);  /* Call to free this trans
                       (in case we had to malloc some stuff dor this trans) */
               pdl *pdls[NP]; /* The pdls involved in the transformation */
               int __datatype; /* the type of the transformation */
               /* in general more members
               /* depending on the actual transformation (slice, add, etc)
                */
         };

       The transformation identifies all "pdl"s involved in the trans

         pdl *pdls[NP];

       with "NP" depending on the number of piddle args of the particular
       trans. It records a state

         short flags;

       and the datatype

         int __datatype;

       of the trans (to which all piddles must be converted unless they are
       explicitly typed, PDL functions created with PDL::PP make sure that
       these conversions are done as necessary). Most important is the pointer
       to the vtable (virtual table) that contains the actual functionality

        pdl_transvtable *vtable;

       The vtable structure in turn looks something like (slightly simplified
       from pdl.h for clarity)

         typedef struct pdl_transvtable {
               pdl_transtype transtype;
               int flags;
               int nparents;   /* number of parent pdls (input) */
               int npdls;      /* number of child pdls (output) */
               char *per_pdl_flags;  /* optimization flags */
               void (*redodims)(pdl_trans *tr);  /* figure out dims of children */
               void (*readdata)(pdl_trans *tr);  /* flow parents to children  */
               void (*writebackdata)(pdl_trans *tr); /* flow backwards */
               void (*freetrans)(pdl_trans *tr); /* Free both the contents and it of
                                               the trans member */
               pdl_trans *(*copy)(pdl_trans *tr); /* Full copy */
               int structsize;
               char *name; /* For debuggers, mostly */
         } pdl_transvtable;

       We focus on the callback functions:

               void (*redodims)(pdl_trans *tr);

       "redodims" will work out the dimensions of piddles that need to be cre-
       ated and is called from within the API function that should be called
       to ensure that the dimensions of a piddle are accessible (pdlapi.c):

          void pdl_make_physdims(pdl *it)

       "readdata" and "writebackdata" are responsible for the actual computa-
       tions of the child data from the parents or parent data from those of
       the children, respectively (the dataflow aspect).  The PDL core makes
       sure that these are called as needed when piddle data is accessed
       (lazy-evaluation). The general API function to ensure that a piddle is
       up-to-date is

         void pdl_make_physvaffine(pdl *it)

       which should be called before accessing piddle data from XS/C (see
       Core.xs for some examples).

       "freetrans" frees dynamically allocated memory associated with the
       trans as needed and "copy" can copy the transformation.  Again, func-
       tions built with PDL::PP make sure that copying and freeing via these
       callbacks happens at the right times. (If they fail to do that we have
       got a memory leak -- this has happened in the past ;).

       The transformation and vtable code is hardly ever written by hand but
       rather generated by PDL::PP from concise descriptions.

       Certain types of transformations can be optimized very efficiently
       obviating the need for explicit "readdata" and "writebackdata" methods.
       Those transformations are called pdl_vaffine. Most dimension manipulat-
       ing functions (e.g., "slice", "xchg") belong to this class.

       The basic trick is that parent and child of such a transformation work
       on the same (shared) block of data which they just choose to interpret
       differently (by dusing different "dims", "dimincs" and "offs" on the
       same data, compare the "pdl" structure above).  Each operation on a
       piddle sharing data with another one in this way is therefore automati-
       cally flown from child to parent and back -- after all they are reading
       and writing the same block of memory. This is currently not perl thread
       safe -- no big loss since the whole PDL core is not reentrant (perl
       threading "!=" PDL threading!).

       Signatures: threading over elementary operations

       Most of that functionality of PDL threading (automatic iteration of
       elemntary operations over multidim piddles) is implemented in the file
       pdlthread.c.

       The PDL::PP generated functions (in particular the "readdata" and
       "writebackdata" callbacks) use this infrastructure to make sure that
       the fundamental operation implemented by the trans is performed in
       agreement with PDL's threading semantics.

       Defining new PDL functions -- Glue code generation

       Please, see PDL::PP and examples in the PDL distribution. Implementa-
       tion and syntax are currently far from perfect but it does a good job!

       The Core struct

       As discussed in PDL::API, PDL uses a pointer to a structure to allow
       PDL modules access to its core routines. The definition of this struc-
       ture (the "Core" struct) is in pdlcore.h (created by pdlcore.h.PL in
       Basic/Core) and looks something like

        /* Structure to hold pointers core PDL routines so as to be used by
         * many modules
         */
        struct Core {
           I32    Version;
           pdl*   (*SvPDLV)      ( SV*  );
           void   (*SetSV_PDL)   ( SV *sv, pdl *it );
        #if defined(PDL_clean_namespace) || defined(PDL_OLD_API)
           pdl*   (*new)      ( );     /* make it work with gimp-perl */
        #else
           pdl*   (*pdlnew)      ( );  /* renamed because of C++ clash */
        #endif
           pdl*   (*tmp)         ( );
           pdl*   (*create)      (int type);
           void   (*destroy)     (pdl *it);
           ...
        }
        typedef struct Core Core;

       The first field of the structure ("Version") is used to ensure consis-
       tency between modules at run time; the following code is placed in the
       BOOT section of the generated xs code:

        if (PDL->Version != PDL_CORE_VERSION)
          Perl_croak(aTHX_ "Foo needs to be recompiled against the newly installed PDL");

       If you add a new field to the Core struct you should:

       o    discuss it on the pdl porters email list
            (pdl-porters AT jach.edu) [with the possibility of making your
            changes to a separate branch of the CVS tree if it's a change that
            will take time to complete]

       o    increase by 1 the value of the $pdl_core_version variable in pdl-
            core.h.PL. This sets the value of the "PDL_CORE_VERSION" C macro
            used to populate the Version field

       o    add documentation (eg to PDL::API) if it's a "useful" function for
            external module writers (as well as ensuring the code is as well
            documented as the rest of PDL ;)

BUGS
       This description is far from perfect. If you need more details or some-
       thing is still unclear please ask on the pdl-porters mailing list
       (pdl-porters AT jach.edu).

AUTHOR
       Copyright(C) 1997 Tuomas J. Lukka (lukka AT fas.edu), 2000 Doug
       Burke (djburke AT cpan.org), 2002 Christian Soeller & Doug Burke.

       Redistribution in the same form is allowed but reprinting requires a
       permission from the author.



perl v5.8.8                       2003-05-21                     INTERNALS(1p)
 

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