Provided by: pdl_2.085-1ubuntu1_amd64 bug

NAME

       PDL::PP - Generate PDL routines from concise descriptions

SYNOPSIS

               # let PDL::PP tell you what it's doing
               $::PP_VERBOSE = 1;
               pp_def(
                       'sumover',
                       Pars => 'a(n); [o]b();',
                       Code => q{
                               double tmp=0;
                               loop(n) %{
                                       tmp += $a();
                               %}
                               $b() = tmp;
                       },
               );

               pp_done();
               # do not call exit() as some processing can be done in same process

FUNCTIONS

       Here is a quick reference list of the functions provided by PDL::PP.

   pp_add_boot
       Add code to the BOOT section of generated XS file

   pp_add_exported
       Add functions to the list of exported functions

   pp_add_isa
       Add entries to the @ISA list

   pp_addbegin
       Sets code to be added at the top of the generate .pm file

   pp_addhdr
       Add code and includes to C section of the generated XS file.

       When used in a module that is "multi-C" (one .c file per "pp_def"ed function), you need to bear in mind
       that as each one is generated, all the "pp_addhdr" so far will be included. Therefore, if you add C
       functions, make sure to make them "static" to avoid clashes with later .c files.  But a better practice
       is make them be separate C files, with any necessary .h to be included by them and the .pd file. You can
       then add them to your Makefile.PL (note this is the "_int" version, see separate notes on how to "opt-in"
       for your own modules):

         my @pack = (["pnm.pd", qw(Pnm PDL::IO::Pnm)]);
         my %hash = pdlpp_stdargs_int(@pack);
         $hash{OBJECT} .= ' get$(OBJ_EXT)';
         sub MY::postamble { pdlpp_postamble_int(@pack); }
         WriteMakefile(%hash);

   pp_addpm
       Add code to the generated .pm file

   pp_addxs
       Add extra XS code to the generated XS file

   pp_add_macros
       Add extra $MACRO() definitions for these functions. Note these generate C code. As of 2.080, they will be
       passed the list of arguments they were called with, rather than a single string, split like the C pre-
       processor on commas except if in "" or "()", with leading and trailing whitespace removed.

         pp_add_macros(SUCC => sub { "($_[0] + 1)" });
         # ...
           Code => '$a() = $SUCC($b());',

   pp_add_typemaps
       Available from 2.082. Add an XS typemap for use as "OtherPars" or from manually-added XS. Takes one named
       argument, either "typemap" (an ExtUtils::Typemaps object), "string", or "file".

         pp_add_typemaps(string=><<'EOT');
         TYPEMAP: <<END_OF_TYPEMAP
         TYPEMAP
         NV_ADD1 T_NV_ADD1

         INPUT
         T_NV_ADD1
           $var = SvNV($arg) + 1;

         OUTPUT
         T_NV_ADD1
           sv_setnv($arg, $var - 1);
         END_OF_TYPEMAP
         EOT
         # ...
           OtherPars => '[o] NV_ADD1 v1',

   pp_beginwrap
       Add BEGIN-block wrapping to code for the generated .pm file

   pp_bless
       Sets the package to which the XS code is added (default is PDL)

   pp_core_importList
       Specify what is imported from PDL::Core

   pp_def
       Define a new PDL function

   pp_deprecate_module
       Add runtime and POD warnings about a module being deprecated

   pp_done
       Mark the end of PDL::PP definitions in the file

   pp_export_nothing
       Clear out the export list for your generated module

   pp_line_numbers
       Add line number information to simplify debugging of PDL::PP code

OVERVIEW

       For an alternate introduction to PDL::PP, see Practical Magick with C, PDL, and PDL::PP -- a guide to
       compiled add-ons for PDL <https://arxiv.org/abs/1702.07753>.

       Why do we need PP? Several reasons: firstly, we want to be able to generate subroutine code for each of
       the PDL datatypes (PDL_Byte, PDL_Short, etc).  AUTOMATICALLY.  Secondly, when referring to slices of PDL
       arrays in Perl (e.g. "$x->slice('0:10:2,:')" or other things such as transposes) it is nice to be able to
       do this transparently and to be able to do this 'in-place' - i.e, not to have to make a memory copy of
       the section. PP handles all the necessary element and offset arithmetic for you. There are also the
       notions of broadcasting (repeated calling of the same routine for multiple slices, see PDL::Indexing) and
       dataflow (see PDL::Dataflow, and "DefaultFlow") which use of PP allows.

       In much of what follows we will assume familiarity of the reader with the concepts of implicit and
       explicit broadcasting and index manipulations within PDL. If you have not yet heard of these concepts or
       are not very comfortable with them it is time to check PDL::Indexing.

       As you may appreciate from its name PDL::PP is a Pre-Processor, i.e.  it expands code via substitutions
       to make real C-code. Technically, the output is XS code (see perlxs) but that is very close to C.

       So how do you use PP? Well for the most part you just write ordinary C code except for special PP
       constructs which take the form:

          $something(something else)

       or:

          PPfunction %{
            <stuff>
          %}

       The most important PP construct is the form $array(). Consider the very simple PP function to sum the
       elements of a 1D vector (in fact this is very similar to the actual code used by 'sumover'):

          pp_def('sumit',
              Pars => 'a(n);  [o]b();',
              Code => q{
                  double tmp;
                  tmp = 0;
                  loop(n) %{
                      tmp += $a();
                  %}
                  $b() = tmp;
              }
          );

       What's going on? The "Pars =>" line is very important for PP - it specifies all the arguments and their
       dimensionality. We call this the signature of the PP function (compare also the explanations in
       PDL::Indexing).  In this case the routine takes a 1-D function as input and returns a 0-D scalar as
       output.  The $a() PP construct is used to access elements of the array a(n) for you - PP fills in all the
       required C code.

       You will notice that we are using the "q{}" single-quote operator. This is not an accident. You generally
       want to use single quotes to denote your PP Code sections. PDL::PP uses $var() for its parsing and if you
       don't use single quotes, Perl will try to interpolate $var(). Also, using the single quote "q" operator
       with curly braces makes it look like you are creating a code block, which is What You Mean. (Perl is
       smart enough to look for nested curly braces and not close the quote until it finds the matching curly
       brace, so it's safe to have nested blocks.) Under other circumstances, such as when you're stitching
       together a Code block using string concatenations, it's often easiest to use real single quotes as

        Code => 'something'.$interpolatable.'somethingelse;'

       In the simple case here where all elements are accessed the PP construct "loop(n) %{ ... %}" is used to
       loop over all elements in dimension "n".  Note this feature of PP: ALL DIMENSIONS ARE SPECIFIED BY NAME.

       This is made clearer if we avoid the PP loop() construct and write the loop explicitly using conventional
       C:

          pp_def('sumit',
              Pars => 'a(n);  [o]b();',
              Code => q{
                  PDL_Indx i,n_size;
                  double tmp;
                  n_size = $SIZE(n);
                  tmp = 0;
                  for(i=0; i<n_size; i++) {
                      tmp += $a(n=>i);
                  }
                  $b() = tmp;
              },
          );

       which does the same as before, but is more long-winded.  You can see to get element "i" of a() we say
       $a(n=>i) - we are specifying the dimension by name "n". In 2D we might say:

          Pars=>'a(m,n);',
             ...
             tmp += $a(m=>i,n=>j);
             ...

       The syntax "m=>i" borrows from Perl hashes, which are in fact used in the implementation of PP. One could
       also say "$a(n=>j,m=>i)" as order is not important.

       You can also see in the above example the use of another PP construct - $SIZE(n) to get the length of the
       dimension "n".

       It should, however, be noted that you shouldn't write an explicit C-loop when you could have used the PP
       "loop" construct since PDL::PP checks automatically the loop limits for you, usage of "loop" makes the
       code more concise, etc. But there are certainly situations where you need explicit control of the loop
       and now you know how to do it ;).

       To revisit 'Why PP?' - the above code for sumit() will be generated for each data-type. It will operate
       on slices of arrays 'in-place'. It will broadcast automatically - e.g. if a 2D array is given it will be
       called repeatedly for each 1D row (again check PDL::Indexing for the details of broadcasting).  And then
       b() will be a 1D array of sums of each row.  We could call it with $x->transpose to sum the columns
       instead.  And Dataflow tracing etc. will be available.

       You can see PP saves the programmer from writing a lot of needlessly repetitive C-code -- in our opinion
       this is one of the best features of PDL making writing new C subroutines for PDL an amazingly concise
       exercise. A second reason is the ability to make PP expand your concise code definitions into different C
       code based on the needs of the computer architecture in question. Imagine for example you are lucky to
       have a supercomputer at your hands; in that case you want PDL::PP certainly to generate code that takes
       advantage of the vectorising/parallel computing features of your machine (this a project for the future).
       In any case, the bottom line is that your unchanged code should still expand to working XS code even if
       the internals of PDL changed.

       Also, because you are generating the code in an actual Perl script, there are many fun things that you
       can do. Let's say that you need to write both sumit (as above) and multit. With a little bit of
       creativity, we can do

          for({Name => 'sumit', Init => '0', Op => '+='},
              {Name => 'multit', Init => '1', Op => '*='}) {
                  pp_def($_->{Name},
                          Pars => 'a(n);  [o]b();',
                          Code => '
                               double tmp;
                               tmp = '.$_->{Init}.';
                               loop(n) %{
                                 tmp '.$_->{Op}.' $a();
                               %}
                               $b() = tmp;
                  ');
          }

       which defines both the functions easily. Now, if you later need to change the signature or dimensionality
       or whatever, you only need to change one place in your code.  Yeah, sure, your editor does have 'cut and
       paste' and 'search and replace' but it's still less bothersome and definitely more difficult to forget
       just one place and have strange bugs creep in.  Also, adding 'orit' (bitwise or) later is a one-liner.

       And remember, you really have Perl's full abilities with you - you can very easily read any input file
       and make routines from the information in that file. For simple cases like the above, the author (Tjl)
       currently favors the hash syntax like the above - it's not too much more characters than the
       corresponding array syntax but much easier to understand and change.

       As of 2.064, the "Code" must not just "return", since the signature of the generated functions has
       changed from returning "void" to returning a "pdl_error", which is pre-initialised to a successful return
       value. You can easily just replace the "return;" with "return PDL_err;", which is the variable's name.

       We should mention here also the ability to get the pointer to the beginning of the data in memory - a
       prerequisite for interfacing PDL to some libraries. This is handled with the $P(var) directive, see
       below.

       When starting work on a new pp_def'ined function, if you make a mistake, you will usually find a pile of
       compiler errors indicating line numbers in the generated XS file. If you know how to read XS files (or if
       you want to learn the hard way), you could open the generated XS file and search for the line number with
       the error. However, a recent addition to PDL::PP helps report the correct line number of your errors:
       "pp_line_numbers". Working with the original summit example, if you had a mis-spelling of tmp in your
       code, you could change the (erroneous) code to something like this and the compiler would give you much
       more useful information:

          pp_def('sumit',
              Pars => 'a(n);  [o]b();',
              Code => pp_line_numbers(__LINE__, q{
                  double tmp;
                  tmp = 0;
                  loop(n) %{
                      tmp += $a();
                  %}
                  $b() = rmp;
              })
          );

       For the above situation, my compiler tells me:

        ...
        test.pd:15: error: 'rmp' undeclared (first use in this function)
        ...

       In my example script (called test.pd), line 15 is exactly the line at which I made my typo: "rmp" instead
       of "tmp".

       So, after this quick overview of the general flavour of programming PDL routines using PDL::PP let's
       summarise in which circumstances you should actually use this preprocessor/precompiler. You should use
       PDL::PP if you want to

       •  interface PDL to some external library

       •  write  some  algorithm  that would be slow if coded in Perl (this is not as often as you think; take a
          look at broadcasting and dataflow first).

       •  be a PDL developer (and even then it's not obligatory)

WARNING

       Because of its architecture, PDL::PP can be  both  flexible  and  easy  to  use  on  the  one  hand,  yet
       exuberantly  complicated  at the same time. Currently, part of the problem is that error messages are not
       very informative and if something goes wrong, you'd better know what you are doing and be  able  to  hack
       your  way through the internals (or be able to figure out by trial and error what is wrong with your args
       to "pp_def"). Although work is being done to produce better warnings, do  not  be  afraid  to  send  your
       questions to the mailing list if you run into trouble.

DESCRIPTION

       Now  that  you  have  some idea how to use "pp_def" to define new PDL functions it is time to explain the
       general syntax of "pp_def".  "pp_def" takes as arguments first the name of the function you are  defining
       and then a hash list that can contain various keys.

       Based  on  these  keys  PP  generates  XS code and a .pm file. The function "pp_done" (see example in the
       SYNOPSIS) is used to tell PDL::PP that there are no more definitions in this  file  and  it  is  time  to
       generate the .xs and
        .pm file.

       As  a  consequence,  there  may be several pp_def() calls inside a file (by convention files with PP code
       have the extension .pd or .pp) but generally only one pp_done().

       There are two main different types of usage of pp_def(),  the  'data  operation'  and  'slice  operation'
       prototypes.

       The  'data  operation' is used to take some data, mangle it and output some other data; this includes for
       example the '+' operation, matrix inverse, sumover etc and all the examples we have talked about in  this
       document  so  far.  Implicit  and  explicit broadcasting and the creation of the result are taken care of
       automatically in those operations. You can even do  dataflow  with  "sumit",  "sumover",  etc  (don't  be
       dismayed  if  you  don't  understand  the concept of dataflow in PDL very well yet; it is still very much
       experimental).

       The 'slice operation' is a different kind of operation: in a slice operation, you are  not  changing  any
       data,  you  are defining correspondences between different elements of two ndarrays (examples include the
       index manipulation/slicing  function  definitions  in  the  file  slices.pd  that  is  part  of  the  PDL
       distribution; but beware, this is not introductory level stuff).

       To support bad values, additional keys are required for "pp_def", as explained below.

       If  you  are  just  interested  in  communicating  with  some  external  library (for example some linear
       algebra/matrix library), you'll usually want the 'data operation' so we are going to discuss that first.

DATA OPERATION

   A simple example
       In the data operation, you must know what dimensions of data you need. First, an example with scalars:

               pp_def('add',
                       Pars => 'a(); b(); [o]c();',
                       Code => '$c() = $a() + $b();'
               );

       That looks a little strange but let's dissect it. The first line is easy: we're defining a  routine  with
       the  name  'add'.   The second line simply declares our parameters and the parentheses mean that they are
       scalars. We call the string that defines our parameters and their dimensionality the  signature  of  that
       function.  For  its relevance with regard to broadcasting and index manipulations check the PDL::Indexing
       man page.

       The third line is the actual operation. You need to use the dollar signs and parentheses to refer to your
       parameters (this will probably change at some point in the future, once a good syntax is found).

       These lines are all that is necessary to actually define the function for PDL (well, actually  it  isn't;
       you  additionally  need  to  write  a  Makefile.PL (see below) and build the module (something like 'perl
       Makefile.PL; make'); but let's ignore that for the moment). So now you can do

               use MyModule;
               $x = pdl 2,3,4;
               $y = pdl 5;

               $c = add($x,$y);
               # or
               add($x,$y,($c=null)); # Alternative form, useful if $c has been
                                     # preset to something big, not useful here.

       and have broadcasting work correctly (the result is $c == [7 8 9]).

   The Pars section: the signature of a PP function
       Seeing the above example code you will most probably ask: what is this strange "$c=null"  syntax  in  the
       second  call  to  our  new  "add"  function? If you take another look at the definition of "add" you will
       notice that the third argument "c" is flagged with the qualifier "[o]" which tells PDL::PP that  this  is
       an output argument. So the above call to add means 'create a new $c from scratch with correct dimensions'
       -  "null"  is a special token for 'empty ndarray' (you might ask why we haven't used the value "undef" to
       flag this instead of the PDL specific "null"; we are currently thinking about it ;).

       [This should be explained in some other section of the manual as well!!]   The  reason  for  having  this
       syntax as an alternative is that if you have really huge ndarrays, you can do

               $c = PDL->null;
               for(some long loop) {
                       # munge a,b
                       add($x,$y,$c);
                       # munge c, put something back to x,y
               }

       and  avoid  allocating  and  deallocating  $c  each  time.  It  is  allocated once at the first add() and
       thereafter the memory stays until $c is destroyed.

       If you just say

         $c =  add($x,$y);

       the code generated by PP will automatically fill in "$c=null" and return the result. If you want to learn
       more about the reasons why PDL::PP supports this style where output arguments are given as last arguments
       check the PDL::Indexing man page.

       "[o]" is not the only qualifier a pdl argument can have in the signature.  Another important qualifier is
       the "[t]" option which flags a pdl as temporary.  What does that mean? You tell PDL::PP that this pdl  is
       only  used for temporary results in the course of the calculation and you are not interested in its value
       after the computation has been completed. But why should PDL::PP want to know about  this  in  the  first
       place?   The  reason is closely related to the concepts of pdl auto creation (you heard about that above)
       and implicit broadcasting. If you use implicit broadcasting the dimensionality of  automatically  created
       pdls  is actually larger than that specified in the signature. With "[o]" flagged pdls will be created so
       that they have the additional dimensions as required by the number of implicit broadcast dimensions. When
       creating a temporary pdl, however, it will always only be made big enough so that it can hold the  result
       for  one  iteration  in  a broadcast loop, i.e. as large as required by the signature.  So less memory is
       wasted when you flag a pdl as temporary. Secondly, you can use output auto creation with  temporary  pdls
       even  when  you  are  using  explicit broadcasting which is forbidden for normal output pdls flagged with
       "[o]" (see PDL::Indexing).

       As of 2.073, the user is unable to pass a "[t]" parameter, and  PDL  will  create  and  size  it  to  its
       notional size, times the number of threads.

       Here  is  an  example  where  we  use  the "[t]" qualifier. We define the function "callf" that calls a C
       routine "f" which needs a temporary array of the same size and type as the array  "a"  (sorry  about  the
       forward reference for $P; it's a pointer access, see below) :

         pp_def('callf',
               Pars => 'a(n); [t] tmp(n); [o] b()',
               Code => 'PDL_Indx ns = $SIZE(n);
                        f($P(a),$P(b),$P(tmp),ns);
                       '
         );

       Another  possible  qualifier  is  "[phys]".  If  given,  this  means the pdl will have "make_physical" in
       PDL::Core called on it.

       Additionally, if it has a specified dimension "d" that has value 1, "d" will not magically  be  grown  if
       "d" is larger in another pdl with specified dimension "d", and instead an exception will be thrown. E.g.:

         pp_def('callf',
               Pars => 'a(n); [phys] b(n); [o] c()',
               # ...
         );

       If "a" had lead dimension of 2 and "b" of 3, an exception will always be thrown. However, if "b" has lead
       dimension of 1, it would be silently repeated as if it were 2, if it were not a "phys" parameter.

   Argument dimensions and the signature
       Now  we have just talked about dimensions of pdls and the signature. How are they related? Let's say that
       we want to add a scalar + the index number to a vector:

               pp_def('add2',
                       Pars => 'a(n); b(); [o]c(n);',
                       Code => 'loop(n) %{
                                       $c() = $a() + $b() + n;
                                %}'
               );

       There are several points to notice here: first, the "Pars" argument now contains the n arguments to  show
       that  we have a single dimensions in a and c. It is important to note that dimensions are actual entities
       that are accessed by name so this declares a and c  to  have  the  same  first  dimensions.  In  most  PP
       definitions  the  size  of named dimensions will be set from the respective dimensions of non-output pdls
       (those with no "[o]" flag) but sometimes you might want to set the size of a named  dimension  explicitly
       through an integer parameter. See below in the description of the "OtherPars" section how that works.

   Constant argument dimensions in the signature
       Suppose  you  want  an  output  ndarray  to  be created automatically and you know that on every call its
       dimension will have the same size (say 9) regardless of the dimensions of the  input  ndarrays.  In  this
       case you use the following syntax in the Pars section to specify the size of the dimension:

           ' [o] y(n=9); '

       As  expected,  extra  dimensions  required  by  broadcasting will be created if necessary. If you need to
       assign a named dimension according to a more complicated formula (than  a  constant)  you  must  use  the
       "RedoDimsCode" key described below.

   Type conversions and the signature
       The  signature also determines the type conversions that will be performed when a PP function is invoked.
       So what happens when we invoke one of our previously defined functions with pdls of different type, e.g.

         add2($x,$y,($ret=null));

       where $x is of type "PDL_Float" and $y of type "PDL_Short"? With the signature as shown in the definition
       of "add2" above the datatype of the operation (as determined at runtime) is that  of  the  pdl  with  the
       'highest'  type  (sequence  is  byte  <  short < ushort < long < float < double). In the add2 example the
       datatype of the operation is float ($x has that datatype). All pdl arguments are then type  converted  to
       that datatype (they are not converted inplace but a copy with the right type is created if a pdl argument
       doesn't  have  the type of the operation).  Null pdls don't contribute a type in the determination of the
       type of the operation.  However, they will be created with the  datatype  of  the  operation;  here,  for
       example,  $ret  will  be of type float. You should be aware of these rules when calling PP functions with
       pdls of different types to take the additional storage and runtime requirements into account.

       These type conversions are correct for most functions you normally define with "pp_def".  However,  there
       are  certain  cases  where  slightly  modified  type  conversion  behaviour  is  desired. For these cases
       additional qualifiers in the signature can be used to specify the desired properties with regard to  type
       conversion.  These  qualifiers  can  be  combined  with  those  we have encountered already (the creation
       qualifiers "[o]" and "[t]"). Let's go  through  the  list  of  qualifiers  that  change  type  conversion
       behaviour.

       The  most  important  is the "indx" qualifier which comes in handy when a pdl argument represents indices
       into another pdl. Let's take a look at an example from "PDL::Ufunc":

          pp_def('maximum_ind',
                 Pars => 'a(n); indx [o] b()',
                 Code => '$GENERIC() cur;
                          PDL_Indx curind;
                          loop(n) %{
                           if (!n || $a() > cur) {cur = $a(); curind = n;}
                          %}
                          $b() = curind;',
          );

       The function "maximum_ind" finds the index of the largest element  of  a  vector.  If  you  look  at  the
       signature you notice that the output argument "b" has been declared with the additional "indx" qualifier.
       This has the following consequences for type conversions: regardless of the type of the input pdl "a" the
       output pdl "b" will be of type "PDL_Indx" which makes sense since "b" will represent an index into "a".

       Note  that  'curind'  is declared as type "PDL_Indx" and not "indx".  While most datatype declarations in
       the 'Pars' section use the same name as the underlying C type, "indx" is a type which  is  sufficient  to
       handle  PDL  indexing  operations.   For  32-bit  installs,  it can be a 32-bit integer type.  For 64-bit
       installs, it will be a 64-bit integer type.

       Furthermore, if you call the function with an existing output pdl "b" its type  will  not  influence  the
       datatype  of  the  operation (see above). Hence, even if "a" is of a smaller type than "b" it will not be
       converted to match the type of "b" but stays untouched, which saves memory and  CPU  cycles  and  is  the
       right  thing  to do when "b" represents indices. Also note that you can use the 'indx' qualifier together
       with other qualifiers (the "[o]" and "[t]" qualifiers). Order is significant -- type  qualifiers  precede
       creation qualifiers ("[o]" and "[t]").

       The  above  example  also  demonstrates typical usage of the $GENERIC() macro.  It expands to the current
       type in a so called generic loop. What is a generic loop? As you  already  heard  a  PP  function  has  a
       runtime  datatype  as  determined  by  the  type  of  the pdl arguments it has been invoked with.  The PP
       generated XS code for this function therefore contains a switch like "switch (type) {case  PDL_Byte:  ...
       case  PDL_Double:  ...}" that selects a case based on the runtime datatype of the function (it's called a
       type ``loop'' because there is a loop in PP code that generates the cases).  In any  case  your  code  is
       inserted  once  for  each  PDL  type into this switch statement. The $GENERIC() macro just expands to the
       respective type in each copy of your parsed code in this "switch" statement, e.g., in the "case PDL_Byte"
       section "cur" will expand to "PDL_Byte" and so on for the other case statements. I guess you realise that
       this is a useful macro to hold values of pdls in some code.

       There are a couple of other qualifiers with similar effects as "indx".  For your  convenience  there  are
       the  "float"  and  "double"  qualifiers  with analogous consequences on type conversions as "indx". Let's
       assume you have a very large array for which you want to compute row and column sums with  an  equivalent
       of  the "sumover" function.  However, with the normal definition of "sumover" you might run into problems
       when your data is, e.g. of type short. A call like

         sumover($large_pdl,($sums = null));

       will result in $sums be of type short and is therefore prone to overflow errors if $large_pdl is  a  very
       large array. On the other hand calling

         @dims = $large_pdl->dims; shift @dims;
         sumover($large_pdl,($sums = zeroes(double,@dims)));

       is  not a good alternative either. Now we don't have overflow problems with $sums but at the expense of a
       type conversion of $large_pdl to double, something bad if this  is  really  a  large  pdl.  That's  where
       "double" comes in handy:

         pp_def('sumoverd',
                Pars => 'a(n); double [o] b()',
                Code => 'double tmp=0;
                         loop(n) %{ tmp += a(); %}
                         $b() = tmp;',
         );

       This  gets  us around the type conversion and overflow problems. Again, analogous to the "indx" qualifier
       "double" results in "b" always being of type double regardless of the type of "a" without  leading  to  a
       type conversion of "a" as a side effect.

       There  is  also  a special type, "real". The others above are all actual PDL/C datatypes, but "real" is a
       modifier; if the operation type is real, it has no effect; if it is complex, then the parameter  will  be
       the real version - so "cdouble" becomes "double", etc.

       There  is  also the converse, "complex". If the operation is already complex, there is no effect; if not,
       the output will be promoted to the type's "complexversion" in PDL::Type, which defaults to "cfloat". Note
       this is controlled both by the PDL::Types data, and  the  code  in  PDL::PP.   NB  Because  this  outputs
       floating-point data, the inputs will by definition be turned into such. Therefore, it only makes sense to
       have  floating-point  "GenericTypes"  inputs.  If you want to default to coercing inputs to "float", give
       that as the last "GenericTypes" as the generated XS function defaults to the last-given one. Hence  (with
       the "PMCode" and "Doc" omitted):

         pp_def('r2C',
           GenericTypes=>[reverse qw(F D G C)], # last one is default so here = F
           Pars => 'r(); complex [o]c()',
           Code => '$c() = $r();'
         );

       Finally,  there  are  the "type+" qualifiers where type is one of "int" or "float". What shall that mean.
       Let's illustrate the "int+" qualifier with the actual definition of sumover:

         pp_def('sumover',
                Pars => 'a(n); int+ [o] b()',
                Code => '$GENERIC(b) tmp=0;
                         loop(n) %{ tmp += a(); %}
                         $b() = tmp;',
         );

       As we had already seen for the "int", "float" and "double"  qualifiers,  a  pdl  marked  with  a  "type+"
       qualifier does not influence the datatype of the pdl operation. Its meaning is "make this pdl at least of
       type  "type" or higher, as required by the type of the operation". In the sumover example this means that
       when you call the function with an "a" of type PDL_Short the output pdl will be of type PDL_Long (just as
       would have been the case with the "int" qualifier). This again tries  to  avoid  overflow  problems  when
       using small datatypes (e.g. byte images).  However, when the datatype of the operation is higher than the
       type specified in the "type+" qualifier "b" will be created with the datatype of the operation, e.g. when
       "a"  is of type double then "b" will be double as well. We hope you agree that this is sensible behaviour
       for "sumover". It should be obvious how the "float+" qualifier works by analogy.  It may become necessary
       to be able to specify a set of alternative types for the parameters. However, this will probably  not  be
       implemented until someone comes up with a reasonable use for it.

       Note  that we now had to specify the $GENERIC macro with the name of the pdl to derive the type from that
       argument. Why is that? If you carefully followed our explanations you will have  realised  that  in  some
       cases  "b"  will have a different type than the type of the operation.  Calling the '$GENERIC' macro with
       "b" as argument makes sure that the type will always the same as that of "b" in that part of the  generic
       loop.

       This  is  about all there is to say about the "Pars" section in a "pp_def" call. You should remember that
       this section defines the signature of a PP defined function, you  can  use  several  options  to  qualify
       certain  arguments  as  output  and  temporary args and all dimensions that you can later refer to in the
       "Code" section are defined by name.

       It is important that you understand the meaning of the signature since in the latest PDL versions you can
       use it to define broadcasting functions from within Perl, i.e. what  we  call  Perl  level  broadcasting.
       Please check PDL::Indexing for details.

   The Code section
       The "Code" section contains the actual XS code that will be in the innermost part of a broadcast loop (if
       you don't know what a broadcast loop is then you still haven't read PDL::Indexing; do it now ;) after any
       PP  macros  (like $GENERIC) and PP functions have been expanded (like the "loop" function we are going to
       explain next).

       Let's quickly reiterate the "sumover" example:

         pp_def('sumover',
                Pars => 'a(n); int+ [o] b()',
                Code => '$GENERIC(b) tmp=0;
                         loop(n) %{ tmp += a(); %}
                         $b() = tmp;',
         );

       The "loop" construct in the "Code" section also refers to the dimension name so you don't need to specify
       any limits: the loop is correctly sized and everything is done for you, again.

       Next, there is the surprising fact that $a() and $b() do not contain the index.  This  is  not  necessary
       because  we're  looping  over  n and both variables know which dimensions they have so they automatically
       know they're being looped over.

       This feature comes in very handy in many places and makes for much shorter code.  Of  course,  there  are
       times when you want to circumvent this; here is a function which make a matrix symmetric and serves as an
       example of how to code explicit looping:

               pp_def('symm',
                       Pars => 'a(n,n); [o]c(n,n);',
                       Code => 'loop(n) %{
                                       int n2;
                                       for(n2=n; n2<$SIZE(n); n2++) {
                                               $c(n0 => n, n1 => n2) =
                                               $c(n0 => n2, n1 => n) =
                                                $a(n0 => n, n1 => n2);
                                       }
                               %}
                       '
               );

       Let's  dissect  what  is happening. Firstly, what is this function supposed to do? From its signature you
       see that it takes a 2D matrix with equal numbers of columns and rows and outputs a  matrix  of  the  same
       size.  From  a  given  input  matrix $a it computes a symmetric output matrix $c (symmetric in the matrix
       sense that A^T = A where ^T means matrix transpose, or in PDL parlance $c == $c->transpose). It does this
       by using only the values on and below the diagonal of $a. In the output matrix $c all values on and below
       the diagonal are the same as those in $a while those above the diagonal are a mirror image of those below
       the diagonal (above and below are here interpreted  in  the  way  that  PDL  prints  2D  pdls).  If  this
       explanation  still  sounds  a  bit  strange  just  go ahead, make a little file into which you write this
       definition, build the new PDL extension (see section on Makefiles for PP code) and  try  it  out  with  a
       couple of examples.

       Having  explained  what the function is supposed to do there are a couple of points worth noting from the
       syntactical point of view. First, we get the size of the dimension named "n" again  by  using  the  $SIZE
       macro.  Second, there are suddenly these funny "n0" and "n1" index names in the code though the signature
       defines only the dimension "n". Why this? The reason becomes clear when you note that both the first  and
       second dimension of $a and $b are named "n" in the signature of "symm". This tells PDL::PP that the first
       and  second dimension of these arguments should have the same size. Otherwise the generated function will
       raise a runtime error.  However, now in an access to $a and $c PDL::PP cannot figure out which index  "n"
       refers  to  any  more just from the name of the index.  Therefore, the indices with equal dimension names
       get numbered from left to right starting at 0, e.g. in  the  above  example  "n0"  refers  to  the  first
       dimension of $a and $c, "n1" to the second and so on.

       In  all  examples  so far, we have only used the "Pars" and "Code" members of the hash that was passed to
       "pp_def". There are certainly other keys that are recognised by PDL::PP and we will hear  about  some  of
       them  in  the  course  of  this  document. Find a (non-exhaustive) list of keys in Appendix A.  A list of
       macros and PPfunctions (we have only encountered some of those  in  the  examples  above  yet)  that  are
       expanded in values of the hash argument to "pp_def" is summarised in Appendix B.

       At  this point, it might be appropriate to mention that PDL::PP is not a completely static, well designed
       set of routines (as Tuomas puts it: "stop thinking of PP as a set  of  routines  carved  in  stone")  but
       rather a collection of things that the PDL::PP author (Tuomas J. Lukka) considered he would have to write
       often  into  his  PDL  extension  routines. PP tries to be expandable so that in the future, as new needs
       arise, new common code can be abstracted back into it. If you want to learn more on why you might want to
       change PDL::PP and how to do it check the section on PDL::PP internals.

   Handling bad values
       There are several keys and macros used when writing code to handle bad  values.  The  first  one  is  the
       "HandleBad" key:

       HandleBad => 0
           This  flags  a  pp-routine  as  NOT  handling bad values. If this routine is sent ndarrays with their
           "badflag" set, then a warning message is printed to STDOUT and the ndarrays are processed as  if  the
           value  used  to  represent bad values is a valid number. The "badflag" value is not propagated to the
           output ndarrays.

           An example of when this is used is for FFT routines, which generally do not have a  way  of  ignoring
           part of the data.

       HandleBad => 1
           This  causes  PDL::PP  to  write  extra  code  that ensures the BadCode section is used, and that the
           $ISBAD() macro (and its brethren) work. If no "BadCode" is supplied, the "Code" section will be used,
           on the assumption it will use "PDL_IF_BAD" to handle bad values.

       HandleBad is not given
           If any of the input ndarrays have their "badflag" set, then  the  output  ndarrays  will  have  their
           "badflag" set, but any supplied BadCode is ignored.

       The value of "HandleBad" is used to define the contents of the "BadDoc" key, if it is not given.

       To handle bad values, code must be written somewhat differently; for instance,

        $c() = $a() + $b();

       becomes something like

        if ( $a() != BADVAL && $b() != BADVAL ) {
           $c() = $a() + $b();
        } else {
           $c() = BADVAL;
        }

       However,  we  only want the second version if bad values are present in the input ndarrays (and that bad-
       value support is wanted!) - otherwise we actually want the original code. This is where the "BadCode" key
       comes in; you use it to specify the code to execute if bad values may be present, and PP uses both it and
       the "Code" section to create something like:

        if ( bad_values_are_present ) {
           fancy_broadcastloop_stuff {
              BadCode
           }
        } else {
           fancy_broadcastloop_stuff {
              Code
           }
        }

       This approach means that there is virtually no overhead when bad values are not present (i.e. the badflag
       routine returns 0).

       The C preprocessor symbol "PDL_BAD_CODE" is defined when the bad code is compiled, so that you can reduce
       the amount of code you write.  The BadCode section can use the same macros and looping constructs as  the
       Code section.  As of 2.073, you can also use "PDL_IF_BAD(iftrue,iffalse)".

   Other bad-value macros
       However, it wouldn't be much use without the following additional macros:

       $ISBAD(var)

       To check whether an ndarray's value is bad, use the $ISBAD macro:

        if ( $ISBAD(a()) ) { printf("a() is bad\n"); }

       You can also access given elements of an ndarray:

        if ( $ISBAD(a(n=>l)) ) { printf("element %d of a() is bad\n", l); }

       $ISGOOD(var)

       This is the opposite of the $ISBAD macro.

       $SETBAD(var)

       For when you want to set an element of an ndarray bad.

       $ISBADVAR(c_var,pdl)

       If  you  have cached the value of an ndarray $a() into a c-variable ("foo" say), then to check whether it
       is bad, use "$ISBADVAR(foo,a)".

       $ISGOODVAR(c_var,pdl)

       As above, but this time checking that the cached value isn't bad.

       $SETBADVAR(c_var,pdl)

       To copy the bad value for an ndarray into a c variable, use "$SETBADVAR(foo,a)".

       TODO: mention $PPISBAD() etc macros.

   PDL STATE macros
       If you want access to the value of the badflag for a given ndarray, you can use the PDL STATE macros, for
       use in "CopyBadStatusCode" and "FindBadStatusCode".

       $ISPDLSTATEBAD(pdl)
       $ISPDLSTATEGOOD(pdl)
       $SETPDLSTATEBAD(pdl)
       $SETPDLSTATEGOOD(pdl)

       And for use in "Code" sections:

       $PDLSTATEISBAD(pdl)
       $PDLSTATEISGOOD(pdl)
       $PDLSTATESETBAD(pdl)
       $PDLSTATESETGOOD(pdl)

   Bad-value examples
       Using these macros, the above code could be specified as:

        Code => '$c() = $a() + $b();',
        BadCode => '
           if ( $ISBAD(a()) || $ISBAD(b()) ) {
              $SETBAD(c());
           } else {
              $c() = $a() + $b();
           }',

       Since this is Perl, TMTOWTDI, so you could also write:

        BadCode => '
           if ( $ISGOOD(a()) && $ISGOOD(b()) ) {
              $c() = $a() + $b();
           } else {
              $SETBAD(c());
           }',

       You can reduce code repetition using the C "PDL_BAD_CODE" macro, supplying only the "Code" section:

        Code => '
           #ifdef PDL_BAD_CODE
           if ( $ISGOOD(a()) && $ISGOOD(b()) ) {
           #endif PDL_BAD_CODE
              $c() = $a() + $b();
           #ifdef PDL_BAD_CODE
           } else {
              $SETBAD(c());
           }
           #endif PDL_BAD_CODE
        ',

       As of 2.073, you can also use "PDL_IF_BAD(iftrue,iffalse)":

        Code => '
           PDL_IF_BAD(if ( $ISGOOD(a()) && $ISGOOD(b()) ) {,)
              $c() = $a() + $b();
           PDL_IF_BAD(} else $SETBAD(c());,)
        ',

   Interfacing your own/library functions using PP
       Now, consider the following: you have your own C function (that may in fact be part of some  library  you
       want to interface to PDL) which takes as arguments two pointers to vectors of double:

               void myfunc(int n,double *v1,double *v2);

       The correct way of defining the PDL function is

               pp_def('myfunc',
                       Pars => 'a(n); [o]b(n);',
                       GenericTypes => ['D'],
                       Code => 'myfunc($SIZE(n),$P(a),$P(b));'
               );

       The  "$P("par")"  syntax  returns a pointer to the first element and the other elements are guaranteed to
       lie after that.

       Notice that here it is possible to make many mistakes. First, $SIZE(n)  must  be  used  instead  of  "n".
       Second,  you  shouldn't put any loops in this code. Third, here we encounter a new hash key recognised by
       PDL::PP : the "GenericTypes" declaration tells PDL::PP to ONLY GENERATE THE  TYPELOOP  FOP  THE  LIST  OF
       TYPES SPECIFIED. In this case "double". This has two advantages. Firstly the size of the compiled code is
       reduced  vastly,  secondly  if non-double arguments are passed to myfunc() PDL will automatically convert
       them to double before passing to the external C routine and convert them back afterwards.

       One can also use "Pars" to qualify the types of individual arguments. Thus one could also write this as:

               pp_def('myfunc',
                       Pars => 'double a(n); double [o]b(n);',
                       Code => 'myfunc($SIZE(n),$P(a),$P(b));'
               );

       The type specification in "Pars" exempts the argument from variation in  the  typeloop  -  rather  it  is
       automatically  converted  to  and  from  the  type  specified. This is obviously useful in a more general
       example, e.g.:

               void myfunc(int n,float *v1,long *v2);

               pp_def('myfunc',
                       Pars => 'float a(n); long [o]b(n);',
                       GenericTypes => ['F'],
                       Code => 'myfunc($SIZE(n),$P(a),$P(b));'
               );

       Note we still use "GenericTypes" to reduce the size of the type loop, obviously  PP  could  in  principle
       spot this and do it automatically though the code has yet to attain that level of sophistication!

       Finally note when types are converted automatically one MUST use the "[o]" qualifier for output variables
       or you hard-won changes will get optimised away by PP!

       If  you  interface  a  large  library  you  can  automate the interfacing even further. Perl can help you
       again(!) in doing this. In many libraries you have certain calling conventions. This can be exploited. In
       short, you can write a little parser (which is really not difficult in  Perl)  that  then  generates  the
       calls to "pp_def" from parsed descriptions of the functions in that library. For an example, please check
       the  Slatec  interface in the "Lib" tree of the PDL distribution. If you want to check (during debugging)
       which calls to PP functions your Perl code generated  a  little  helper  package  comes  in  handy  which
       replaces the PP functions by identically named ones that dump their arguments to stdout.

       Just say

          perl -MPDL::PP::Dump myfile.pd

       to see the calls to "pp_def" and friends. Try it with ops.pd and slatec.pd. If you're interested (or want
       to enhance it), the source is in Basic/Gen/PP/Dump.pm

   Other macros in the Code section
       Macros:  So  far  we  have  encountered  the  $SIZE, $GENERIC and $P macros.  Now we are going to quickly
       explain the other macros that are expanded in the "Code" section of PDL::PP along with examples of  their
       usage.

       $T

       The $T macro is used for type switches. This is very useful when you have to use different external (e.g.
       library) functions depending on the input type of arguments. The general syntax is

               $Ttypeletters(type_alternatives)

       where "typeletters" is a permutation of a subset of the letters "BSULNQFDGC" which stand for Byte, Short,
       Ushort,  etc.  and  "type_alternatives"  are the expansions when the type of the PP operation is equal to
       that indicated by the respective  letter.  Let's  illustrate  this  incomprehensible  description  by  an
       example. Assuming you have two C functions with prototypes

         void float_func(float *in, float *out);
         void double_func(double *in, double *out);

       which  do  basically  the  same  thing  but  one  accepts  float and the other double pointers. You could
       interface them to PDL by defining a generic function "foofunc" (which  will  call  the  correct  function
       depending on the type of the transformation):

         pp_def('foofunc',
               Pars => ' a(n); [o] b();',
               Code => ' $TFD(float,double)_func ($P(a),$P(b));'
               GenericTypes => [qw(F D)],
         );

       There is a limitation that the comma-separated values cannot have parentheses.

       $PP

       The  $PP  macro  is  used  for  a so called physical pointer access. The physical refers to some internal
       optimisations of PDL (for those who are familiar with the PDL core  we  are  talking  about  the  vaffine
       optimisations).  This  macro  is  mainly for internal use and you shouldn't need to use it in any of your
       normal code.

       $PPSYM

       The $PPSYM() macro is replaced by the value of "ppsym" in PDL::Types for the loop type, or  that  of  the
       given  parameter,  similar  to $GENERIC(). This is useful for e.g. macros that vary by that, avoiding the
       need for things like "$TXY(X,Y)". Another benefit is that if an operation's  GenericTypes  get  extended,
       this macro will still be correct.

       $COMP (and the OtherPars section)

       The  $COMP  macro  is  used  to  access  non-pdl values in the code section. Its name is derived from the
       implementation of transformations in PDL. The variables you can refer to using $COMP are members  of  the
       ``compiled''  structure  that  represents the PDL transformation in question but does not yet contain any
       information about dimensions (for further details check PDL::Internals). However,  you  can  treat  $COMP
       just  as a black box without knowing anything about the implementation of transformations in PDL. So when
       would you use this macro? Its main usage is to access values  of  arguments  that  are  declared  in  the
       "OtherPars"  section of a "pp_def" definition. But then you haven't heard about the "OtherPars" key yet?!
       Let's have another example that illustrates typical usage of both new features:

         pp_def('pnmout',
               Pars => 'a(m)',
               OtherPars => "PerlIO *fp",
               GenericTypes => [qw(B U S L)],
               Code => '
                        if (PerlIO_write($COMP(fp),$P(a),len) != len)
                                       $CROAK("Error writing pnm file");
         ');

       This function is used to write data from a pdl to a file. The file descriptor is passed as a string  into
       this  function.  This  parameter  does not go into the "Pars" section since it cannot be usefully treated
       like a pdl but rather into the aptly named "OtherPars" section. Parameters  in  the  "OtherPars"  section
       follow those in the "Pars" section when invoking the function, i.e.

          open FILE,">out.dat" or die "couldn't open out.dat";
          pnmout($pdl,'FILE');

       When  you  want  to  access this parameter inside the code section you have to tell PP by using the $COMP
       macro, i.e. you write $COMP(fp) as in the example. Otherwise PP wouldn't  know  that  the  "fp"  you  are
       referring to is the same as that specified in the "OtherPars" section.

       Another  use  for  the  "OtherPars"  section  is to set a named dimension in the signature. Let's have an
       example how that is done:

         pp_def('setdim',
               Pars => '[o] a(n)',
               OtherPars => 'int ns => n',
               Code => 'loop(n) %{ $a() = n; %}',
         );

       This says that the named dimension "n" will be initialised from the value of  the  other  parameter  "ns"
       which  is  of  integer type (I guess you have realised that we use the "CType From => named_dim" syntax).
       As of 2.082, this can be used to set the size of a dimension not used in any "Pars".  Now  you  can  call
       this function in the usual way:

         setdim(($x=null),5);
         print $x;
           [ 0 1 2 3 4 ]

       Admittedly  this  function  is not very useful but it demonstrates how it works. If you call the function
       with an existing pdl and you don't need to explicitly specify the size of "n" since PDL::PP can figure it
       out from the dimensions of the non-null pdl. In that case you just give the dimension parameter as -1:

         $x = hist($y);
         setdim($x,-1);

       The default values available via $COMP() are the  "OtherPars"  as  noted  above,  which  get  copied  in.
       However,  this  can  be added to (previous to 2.058, replaced) by supplying "Comp" and/or "MakeComp" keys
       (the defaults will happen first):

         pp_def(
           'diagonal',
           OtherPars => 'SV *list',
           Comp => 'PDL_Indx whichdims_count; PDL_Indx whichdims[$COMP(whichdims_count)];',
           MakeComp => '
             PDL_Indx i;
             PDL_Indx *tmp= PDL->packdims(list,&($COMP(whichdims_count)));
             if (!tmp) $CROAK("Failed to packdims for creating");
             if ($COMP(whichdims_count) < 1)
               $CROAK("Diagonal: must have at least 1 dimension");
             $DOCOMPALLOC(); /* malloc()s the whichdims */
             for(i=0; i<$COMP(whichdims_count); i++)
               $COMP(whichdims)[i] = tmp[i];
             free(tmp);
             /* ... */
           ',
           # ...
         );

       The "MakeComp" code is placed in the pdl_run_(funcname), so access to "Pars" (which  will  just  be  "pdl
       *"s)/"OtherPars"  values  is  just  via their names, not a macro. The default code (which also applies to
       "OtherPars") makes a copy of values where it knows how to do so, including "SV*" and "char*".

       You can also provide a "CompFreeCodeComp" key, in case your "MakeComp" needs tidying up after it.

       As of 2.058, you can instead give a C99 "incomplete array" type parameter as an "OtherPars" entry:

         pp_def(
           'diagonal',
           OtherPars => 'PDL_Indx whichdims[]',
           MakeComp => '
             if ($COMP(whichdims_count) < 1)
               $CROAK("Diagonal: must have at least 1 dimension");
             /* ... */
           ',
           # ...
         );

       There is an XS typemap entry  (for  "PDL_Indx"  and  "pdl*"  array  types  for  now)  that  relies  on  a
       "(varname)_count"  variable  being  declared in the XS "INPUT" section (PP does this for you), to extract
       the index numbers from an array-ref parameter, and sets the count variable to the right  value.  PP  then
       makes  a  copy  of  the  data  available.  The  C function (here, "pdl_run_diagonal")'s caller (here, the
       generated XS function) is responsible for freeing the array passed in (here, PDL's "smalloc" function  is
       used, so the user need do nothing different).

       XS-only OtherPars

       As of 2.083, you can prefix the names of "OtherPars" with "$", e.g.

         pp_def('minus',
           OtherPars => 'int $swap',
           # ...
         );

       This  will  mean  they  are available in "HdrCode" and "FtrCode", but not elsewhere in the generated code
       (e.g. "MakeComp", "Code").

   Other functions in the Code section
       The only PP function that we have used in the  examples  so  far  is  "loop".   Additionally,  there  are
       currently two other functions which are recognised in the "Code" section:

       broadcastloop

       As  we heard above the signature of a PP defined function defines the dimensions of all the pdl arguments
       involved in a primitive operation.  However, you often call the functions that you defined with  PP  with
       pdls  that  have  more  dimensions  than  those  specified  in  the signature. In this case the primitive
       operation is performed on all subslices of appropriate dimensionality in what is called a broadcast  loop
       (see  also  overview  above  and  PDL::Indexing).  Assuming you have some notion of this concept you will
       probably appreciate that the operation specified in the code section should be optimised  since  this  is
       the  tightest  loop  inside  a  broadcast  loop.  However, if you revisit the example where we define the
       "pnmout" function, you will quickly realise that looking  up  the  "IO"  file  descriptor  in  the  inner
       broadcast  loop  is  not  very efficient when writing a pdl with many rows. A better approach would be to
       look up the "IO" descriptor once outside the broadcast loop and use its value then  inside  the  tightest
       broadcast  loop.  This  is exactly where the "broadcastloop" function comes in handy. Here is an improved
       definition of "pnmout" which uses this function:

         pp_def('pnmout',
               Pars => 'a(m)',
               OtherPars => "PerlIO *fp",
               GenericTypes => [qw(B U S L)],
               Code => '
                        int len;
                        len = $SIZE(m) * sizeof($GENERIC());
                        broadcastloop %{
                           if (PerlIO_write($COMP(fp),$P(a),len) != len)
                                       $CROAK("Error writing pnm file");
                        %}
         ');

       This works as follows. Normally the C code you write  inside  the  "Code"  section  is  placed  inside  a
       broadcast  loop  (i.e.  PP  generates  the  appropriate  wrapping  C  code  around it). However, when you
       explicitly use the "broadcastloop" function, PDL::PP recognises this and doesn't wrap your code  with  an
       additional  broadcast  loop.  This  has the effect that code you write outside the broadcast loop is only
       executed once per transformation and just the code with in the surrounding "%{ ...  %}"  pair  is  placed
       within  the tightest broadcast loop. This also comes in handy when you want to perform a decision (or any
       other code, especially CPU intensive code) only once per thread, i.e.

         pp_addhdr('
           #define RAW 0
           #define ASCII 1
         ');
         pp_def('do_raworascii',
                Pars => 'a(); b(); [o]c()',
                OtherPars => 'int mode',
              Code => ' switch ($COMP(mode)) {
                           case RAW:
                               broadcastloop %{
                                   /* do raw stuff */
                               %}
                               break;
                           case ASCII:
                               broadcastloop %{
                                   /* do ASCII stuff */
                               %}
                               break;
                           default:
                               $CROAK("unknown mode");
                          }'
          );

       types

       The types function works similar to the $T macro. However, with the "types"  function  the  code  in  the
       following  block  (delimited  by  "%{"  and  "%}"  as usual) is executed for all those cases in which the
       datatype of the operation is any of the types represented by the letters in the argument to "type", e.g.

            Code => '...

                    types(BSUL) %{
                        /* do integer type operation */
                    %}
                    types(FD) %{
                        /* do floating point operation */
                    %}
                    ...'

       You are encouraged to use this idiom (from PDL::Math) in order to minimise effort  needed  to  make  your
       code work with new types:

         use PDL::Types qw(types);
         my @Rtypes = grep $_->real, types();
         my @Ctypes = grep !$_->real, types();
         # ...
           my $got_complex = PDL::Core::Dev::got_complex_version($name, 2);
           my $complex_bit = join "\n",
             map 'types('.$_->ppsym.') %{$'.$c.'() = c'.$name.$_->floatsuffix.'($'.$x.'(),$'.$y.'());%}',
             @Ctypes;
           my $real_bit = join "\n",
             map 'types('.$_->ppsym.') %{$'.$c.'() = '.$name.'($'.$x.'(),$'.$y.'());%}',
             @Rtypes;
           ($got_complex ? $complex_bit : '') . $real_bit;

       (although  you should first check whether tgmath.h already has a type-generic version of the function you
       want to call, in which case the above becomes unnecessary).

   The RedoDimsCode Section
       The "RedoDimsCode" key is an optional key that is used to compute dimensions of ndarrays  at  runtime  in
       case  the  standard rules for computing dimensions from the signature are not sufficient. The contents of
       the "RedoDimsCode" entry is interpreted in the same way that the Code section is interpreted--  i.e.,  PP
       macros  are  expanded and the result is interpreted as C code. The purpose of the code is to set the size
       of some dimensions that appear in the signature. Storage allocation and broadcastloops and so forth  will
       be set up as if the computed dimension had appeared in the signature. In your code, you first compute the
       desired  size of a named dimension in the signature according to your needs and then assign that value to
       it via the $SIZE() macro.

       As an example, consider the following situation. You are interfacing an  external  library  routine  that
       requires  an  temporary  array  for workspace to be passed as an argument. Two input data arrays that are
       passed are p(m) and x(n). The output data array is y(n). The routine requires a workspace  array  with  a
       length  of  n+m*m, and you'd like the storage created automatically just like it would be for any ndarray
       flagged with [t] or [o].  What you'd like is to say something like

        pp_def( "myexternalfunc",
         Pars => " p(m);  x(n);  [o] y; [t] work(n+m*m); ", ...

       but that won't work, because PP can't interpret expressions with arithmetic in the signature. Instead you
       write

         pp_def(
             "myexternalfunc",
             Pars         => ' p(m);  x(n);  [o] y(); [t] work(wn); ',
             RedoDimsCode => '$SIZE(wn) = $SIZE(n) + $SIZE(m) * $SIZE(m);',
             Code => '
               externalfunc( $P(p), $P(x), $SIZE(m), $SIZE(n), $P(work) );
             '
         );

       As of 2.075, you  can  use  the  dimensions  of  passed-in  ndarrays  as  they  are  available  when  the
       "RedoDimsCode" is run.  Before the code in the Code section is executed PP will create the proper storage
       for  "work"  (one  area  per  POSIX  thread, in case of broadcasting that multi-threads - the user cannot
       supply this).  Note that you only took the first dimension of "p" and "x" because the user may have  sent
       ndarrays with extra broadcasting dimensions.

       You  can also use "RedoDimsCode" to set the dimension of a ndarray flagged with [o]. In this case you set
       the dimensions for the named dimension in the signature  using  $SIZE()  as  in  the  preceding  example.
       However, because the ndarray is flagged with [o] instead of [t], broadcasting dimensions will be added if
       required  just  as  if  the size of the dimension were computed from the signature according to the usual
       rules. Here is an example from PDL::Math

        pp_def("polyroots",
             Pars => 'cr(n); ci(n); [o]rr(m); [o]ri(m);',
             RedoDimsCode => '$SIZE(m) = $SIZE(n)-1;',

       The input ndarrays are the real and imaginary parts of complex coefficients of a polynomial.  The  output
       ndarrays  are real and imaginary parts of the roots. There are "n" roots to an "n"th order polynomial and
       such a polynomial has "n+1" coefficients (the zero-th through the "n"th). In this  example,  broadcasting
       will work correctly. That is, the first dimension of the output ndarray with have its dimension adjusted,
       but other broadcasting dimensions will be assigned just as if there were no "RedoDimsCode".

       RedoDims passed directly

       A  "RedoDimsCode"  value  as  above  gets  processed, including expanding macros, and adding type-generic
       loops. For very specific purposes, you may not want this processing done to your dimension-updating code,
       probably in "slice"-like functions.

       Then,  instead  of  passing  a  "RedoDimsCode"  value,  you  can  pass  a  "RedoDims"  value  (which  the
       "RedoDimsCode"  would  otherwise  get  processed  into).  Because  you  will  probably want to access the
       ndarrays, the following macros are provided. They are named assuming you will have the first parameter as
       "PARENT" and the second as "CHILD", which is the case if you passed a true  "P2Child"  value,  which  you
       will basically always want to do for this scenario.

       RedoDims generated from EquivPDimExpr and EquivDimCheck

       Another way to generate the "RedoDims" code is to supply a "EquivPDimExpr" and maybe a "EquivDimCheck":

         pp_def(
           'xchg',
           OtherPars => 'PDL_Indx n1; PDL_Indx n2;',
           TwoWay => 1,
           P2Child => 1,
           AffinePriv => 1,
           EquivDimCheck => '
             if ($COMP(n1) <0) $COMP(n1) += $PARENT(broadcastids[0]);
             if ($COMP(n2) <0) $COMP(n2) += $PARENT(broadcastids[0]);
             if (PDLMIN($COMP(n1),$COMP(n2)) <0 ||
                 PDLMAX($COMP(n1),$COMP(n2)) >= $PARENT(broadcastids[0]))
                   $CROAK("One of dims %d, %d out of range: should be 0<=dim<%d",
                       $COMP(n1),$COMP(n2),$PARENT(broadcastids[0]));',
           EquivPDimExpr => '
             (($CDIM == $COMP(n1)) ? $COMP(n2) :
              ($CDIM == $COMP(n2)) ? $COMP(n1) :
              $CDIM)
           ',
         );

       "EquivPDimExpr"  is  evaluated  within a loop, and the value of the relevant dimension is available using
       the macro $CDIM as shown above.

   Typemap handling in the OtherPars section
       The "OtherPars" section discussed above is very often absolutely  crucial  when  you  interface  external
       libraries  with PDL. However in many cases the external libraries either use derived types or pointers of
       various types.

       The standard way to handle this in Perl is to use a typemap file.  This is discussed in  some  detail  in
       perlxs  in  the standard Perl documentation. In PP the functionality is very similar, so you can create a
       typemap file in the directory where your PP file resides and when it is built it is automatically read in
       to figure out the appropriate translation between the C type and Perl's built-in type.

       For instance the "gsl_spline_init" function has the following C declaration:

           int  gsl_spline_init(gsl_spline * spline,
                 const double xa[], const double ya[], size_t size);

       Clearly the "xa" and "ya" arrays are candidates for being passed in as ndarrays and the  "size"  argument
       is  just  the  length  of  these  ndarrays  so  that can be handled by the $SIZE() macro in PP.  Write an
       "OtherPars" declaration of the form

           OtherPars => 'gsl_spline *spl'

       and write a short typemap file which handles this type:

           TYPEMAP
           gsl_spline * T_PTR

       and use it in the code:

           pp_def('init_meat',
             Pars => 'double x(n); double y(n);',
             OtherPars => 'gsl_spline *spl',
             Code =>'gsl_spline_init,($COMP(spl),$P(x),$P(y),$SIZE(n)));'
           );

       where I have removed a macro wrapper call, but that would obscure the discussion.

       You can also have "OtherPars" entries that are "incomplete arrays" of "pdl*", both for input and output:

         OtherPars => 'pdl *ins[]', # $COMP(ins_count) will be available
         # OR
         OtherPars => '[o] pdl *outs[]', # update $COMP(outs_count) in your code

       Note that the output typemap entry does a "free" on the array of "pdl*"  pointers,  so  ensure  that  you
       "malloc" it in your code, without leaking.

       OtherPars as outputs

       As of 2.081, you can specify an "OtherPar" as an output. This looks like:

           pp_def('output_op',
             Pars => 'in(n=2)',
             OtherPars => '[o] PDL_Anyval v0; [o] PDL_Anyval v1',
             Code => '
               pdl_datatypes dt = $PDL(in)->datatype;
               ANYVAL_FROM_CTYPE($COMP(v0), dt, $in(n=>0));
               ANYVAL_FROM_CTYPE($COMP(v1), dt, $in(n=>1));
             ',
           );

       The passed-in stack SV will be mutated in place, so this code will then work:

           output_op([5,7], my $v0, my $v1);
           is_deeply [$v0,$v1], [5,7], 'output OtherPars work';
           ($v0, $v1) = output_op([5,7]); # you can omit them, then they get returned
           is_deeply [$v0,$v1], [5,7], 'output OtherPars work 1a';

       An  operation  with  output  "OtherPars"  cannot  broadcast,  since that would cause undefined results. A
       runtime check is generated that throws an exception if any "Par" would cause broadcasting.

       Note the syntax for "OtherPars" has "[o]" go before the type, while it goes after the type in "Pars".  It
       was felt this was the best way to avoid ambiguity given C types can have "[]" in them.

       This relies on the relevant "OtherPar" having an "OUTPUT" entry in an XS typemap.

       As  of  2.083,  it  is  also possible to specify "OtherPars" as "[io]", which means they must be supplied
       (rather than being optional, like an "[o]" one), but will  still  be  updated  after  the  operation  has
       finished.

   Other useful PP keys in data operation definitions
       You  have  already  heard  about the "OtherPars" key. Currently, there are not many other keys for a data
       operation that will be useful in normal  (whatever  that  is)  PP  programming.  In  fact,  it  would  be
       interesting  to  hear  about  a  case  where you think you need more than what is provided at the moment.
       Please speak up on one of the PDL mailing lists. Most other keys recognised by "pp_def" are  only  really
       useful for what we call slice operations (see also above).

       One thing that is strongly being planned is variable number of arguments, which will be a little tricky.

       An incomplete list of the available keys:

       Inplace

       Setting this key marks the routine as working inplace - ie the input and output ndarrays are the same. An
       example is "$x->inplace->sqrt()" (or "sqrt(inplace($x))").

       Inplace => 1
           Use when the routine is a unary function, such as "sqrt".

       Inplace => ['a']
           If  there  are  more than one input ndarrays, specify the name of the one that can be changed inplace
           using an array reference.

       Inplace => ['a','b']
           If there are more than one output ndarray, specify the name of the input ndarray and  output  ndarray
           in a 2-element array reference. This probably isn't needed, but left in for completeness.

       If bad values are being used, care must be taken to ensure the propagation of the badflag when inplace is
       being used; consider this excerpt from Basic/Bad/bad.pd:

         pp_def('setbadtoval',HandleBad => 1,
           Pars => 'a(); [o]b();',
           OtherPars => 'double newval',
           Inplace => 1,
           CopyBadStatusCode => 'PDL->propagate_badflag( b, 0 );',
           ...

       Since  this  routine  removes  all  bad values, the output ndarray had its bad flag cleared. This is then
       propagated to both parents and children.

       NOTE: one idea is that the documentation for the routine could be automatically flagged to indicate  that
       it  can  be  executed inplace, ie something similar to how "HandleBad" sets "BadDoc" if it's not supplied
       (it's not an ideal solution).

       FTypes

         # in slices.pd
         FTypes => {CHILD => '$COMP(totype)'},

       The value is a hash-ref mapping parameter-names to an expression giving an override of the type for  that
       parameter. The example above shows the type being overridden to the "OtherPars" "totype".

       OtherParsDefaults

         OtherPars => 'int a; int b',
         OtherParsDefaults => { b => 0 },

       Allows  specifying  default  values  for "OtherPars". It is an error to specify a default for one that is
       before another that does not have a default.

       ArgOrder

         Pars => 'x(); y(); [o]z()'
         OtherPars => 'int a; int b',
         ArgOrder => [qw(x y a b z)],

         # or, a non-reference true value to enable flexible arg-handling and
         # move defaultable to the end, followed by output ndarrays then OtherPars
         Pars => 'x(); y(); [o]z()'
         OtherPars => 'int a; int b',
         ArgOrder => 1,

       Allows specifying a different order for providing  the  operation's  arguments.  This  affects  only  the
       generated  XS  (not C pdl_run_(name)) parameter list; the internal ordering of "pdl*" in various C arrays
       is unaffected.

       Providing a non-reference true value enables flexible argument-handling and moves defaultable to the end,
       followed by output ndarrays then output "OtherPars". Also, all outputs (ndarray and "OtherPars") will  be
       returned on the stack, even if supplied as arguments.

       It  is  an  error  to  specify  arguments  that  are  not  provided, or to give a false value, or to have
       "optional" arguments after mandatory ones.

       XS argument-handling change

       This also changes PP's XS argument handling; normally you can specify:

       •   just the input/io arguments

       •   (if the operation has default values provided) those plus values for all arguments with defaults

       •   all of those plus output arguments, in other words all non-"[t]" arguments

       With "ArgOrder" given, "optional" arguments (outputs and ones with defaults) will be filled in  from  the
       leftmost missing one.

       HdrCode

       This  is  C code that is inserted in the XS function before the call to the generated pdl_run_(funcname).
       It will have access to all the Pars and OtherPars as C values.

       FtrCode

       As of 2.083.  This is C code that is inserted in  the  XS  function  after  the  call  to  the  generated
       pdl_run_(funcname). It will have access to all the Pars and OtherPars as C values.

   Other PDL::PP functions to support concise package definition
       So  far, we have described the "pp_def" and "pp_done" functions. PDL::PP exports a few other functions to
       aid you in writing concise PDL extension package definitions.

       pp_addhdr

       Often when you interface library functions as in the above example  you  have  to  include  additional  C
       include  files. Since the XS file is generated by PP we need some means to make PP insert the appropriate
       include directives in the right place into the generated XS file.  To this end there is  the  "pp_addhdr"
       function.  This  is also the function to use when you want to define some C functions for internal use by
       some of the XS functions (which are mostly functions defined by "pp_def").  By including these  functions
       here  you  make  sure  that PDL::PP inserts your code before the point where the actual XS module section
       begins and will therefore be left untouched by xsubpp (cf. perlxs and perlxstut man pages).

       A typical call would be

         pp_addhdr('
         #include <unistd.h>       /* we need defs of XXXX */
         #include "libprotos.h"    /* prototypes of library functions */
         #include "mylocaldecs.h"  /* Local decs */

         static void do_the real_work(PDL_Byte * in, PDL_Byte * out, int n)
         {
               /* do some calculations with the data */
         }
         ');

       This ensures that all the constants and prototypes you need will be properly included and  that  you  can
       use the internal functions defined here in the "pp_def"s, e.g.:

         pp_def('barfoo',
                Pars => ' a(n); [o] b(n)',
                GenericTypes => ['B'],
                Code => ' PDL_Indx ns = $SIZE(n);
                          do_the_real_work($P(a),$P(b),ns);
                        ',
         );

       pp_addpm

       In  many  cases  the actual PP code (meaning the arguments to "pp_def" calls) is only part of the package
       you are currently implementing. Often there is additional Perl code and XS code you would  normally  have
       written  into  the  pm and XS files which are now automatically generated by PP. So how to get this stuff
       into those dynamically generated files? Fortunately, there are a couple of  functions,  generally  called
       "pp_addXXX" that assist you in doing this.

       Let's  assume  you  have  additional  Perl code that should go into the generated pm-file. This is easily
       achieved with the "pp_addpm" command:

          pp_addpm(<<'EOD');

          =head1 NAME

          PDL::Lib::Mylib -- a PDL interface to the Mylib library

          =head1 DESCRIPTION

          This package implements an interface to the Mylib package with full
          broadcasting and indexing support (see L<PDL::Indexing>).

          =cut

          use PGPLOT;

          =head2 use_myfunc
               this function applies the myfunc operation to all the
               elements of the input pdl regardless of dimensions
               and returns the sum of the result
          =cut

          sub use_myfunc {
               my $pdl = shift;

               myfunc($pdl->clump(-1),($res=null));

               return $res->sum;
          }

          EOD

       pp_add_exported

       You have probably got the idea. In some cases you also want to export your additional functions. To avoid
       getting into trouble with PP which also messes around with the @EXPORT array you just tell PP to add your
       functions to the list of exported functions:

         pp_add_exported('use_myfunc gethynx');

       pp_add_isa

       The "pp_add_isa" command works like the the "pp_add_exported" function.  The  arguments  to  "pp_add_isa"
       are added the @ISA list, e.g.

         pp_add_isa(' Some::Other::Class ');

       pp_bless

       If  your  pp_def  routines  are  to be used as object methods use "pp_bless" to specify the package (i.e.
       class) to which your pp_defed methods will be added. For example, pp_bless('PDL::MyClass').  The  default
       is "PDL" if this is omitted.

       The  value  given  here (or the default, "PDL"), anywhere in the .pd file, will be the package into which
       all PP operations get added, even for operations whose "pp_def" was called before the  "pp_bless".   This
       is because that package is inserted at the start of the generated XS code by "pp_done". The only way this
       changes  is  if "pp_addxs" is called, which will add the given code (or none if an empty string is given)
       to the $::PDLPACK package, and then changes the package to the pp_bless value.  For  historical  reasons,
       this cannot be changed. So, to have several different packages in one .pd file, do something like this:

         # any pp_def up till now will get put in PDL::Pack2
         pp_bless('PDL::Pack1');
         pp_addxs('');
         pp_def('func1', ...);
         pp_bless('PDL::Pack2');
         pp_addxs('');
         pp_def('otherfunc', ...);

       pp_addxs

       Sometimes  you  want  to  add  extra  XS  code  of  your  own  (that  is  generally not involved with any
       broadcasting/indexing issues but supplies some other functionality you want to access from the Perl side)
       to the generated XS file, for example

         pp_addxs('','

         # Determine endianness of machine

         int
         isbigendian()
            CODE:
              unsigned short i;
              PDL_Byte *b;

              i = 42; b = (PDL_Byte*) (void*) &i;

              if (*b == 42)
                 RETVAL = 0;
              else if (*(b+1) == 42)
                 RETVAL = 1;
              else
                 croak("Impossible - machine is neither big nor little endian!!\n");
              OUTPUT:
                RETVAL
         ');

       Especially "pp_add_exported" and "pp_addxs" should be  used  with  care.  PP  uses  PDL::Exporter,  hence
       letting  PP  export  your function means that they get added to the standard list of function exported by
       default (the list defined by the export tag ``:Func''). If you use "pp_addxs" you  shouldn't  try  to  do
       anything that involves broadcasting or indexing directly. PP is much better at generating the appropriate
       code from your definitions.

       pp_add_boot

       Finally, you may want to add some code to the BOOT section of the XS file (if you don't know what that is
       check perlxs). This is easily done with the "pp_add_boot" command:

         pp_add_boot(<<EOB);
               descrip = mylib_initialize(KEEP_OPEN);

               if (descrip == NULL)
                  croak("Can't initialize library");

               GlobalStruc->descrip = descrip;
               GlobalStruc->maxfiles = 200;
         EOB

       pp_export_nothing

       By default, PP.pm puts all subs defined using the pp_def function into the output .pm file's EXPORT list.
       This  can  create  problems  if  you  are  creating  a subclassed object where you don't want any methods
       exported. (i.e. the methods will only be called using the $object->method syntax).

       For these cases you can call pp_export_nothing() to clear out the export list. Example (At the end of the
       .pd file):

         pp_export_nothing();
         pp_done();

       pp_core_importList

       By default, PP.pm puts the 'use Core;' line into the output .pm file. This imports Core's exported  names
       into the current namespace, which can create problems if you are over-riding one of Core's methods in the
       current file.  You end up getting messages like "Warning: sub sumover redefined in file subclass.pm" when
       running the program.

       For these cases the pp_core_importList can be used to change what is imported from Core.pm.  For example:

         pp_core_importList('()')

       This would result in

         use Core();

       being  generated  in  the  output  .pm  file.  This would result in no names being imported from Core.pm.
       Similarly, calling

         pp_core_importList(' qw/ barf /')

       would result in

         use Core qw/ barf/;

       being generated in the output .pm file. This would result in just 'barf' being imported from Core.pm.

       pp_setversion

       Simultaneously set the .pm and .xs files' versions, thus avoiding unnecessary  version-skew  between  the
       two. To use this, simply do this in your .pd file, probably near the top:

        our $VERSION = '0.0.3';
        pp_setversion($VERSION);

        # Then, in your Makefile.PL:
        my @package = qw(FFTW3.pd FFTW3 PDL::FFTW3);
        my %descriptor = pdlpp_stdargs(\@package);
        $descriptor{VERSION_FROM} = 'FFTW3.pd'; # EUMM can parse the format above

       However, don't use this if you use Module::Build::PDL. See that module's documentation for details.

       pp_deprecate_module

       If  a  particular module is deemed obsolete, this function can be used to mark it as deprecated. This has
       the effect of emitting a warning when a user tries to "use" the module. The generated POD for this module
       also carries a deprecation notice. The replacement module can be passed as an argument like this:

        pp_deprecate_module( infavor => "PDL::NewNonDeprecatedModule" );

       Note that function affects only the runtime warning and the POD.

MAKING YOUR PP FUNCTION PRIVATE

       Let's say that you have a function in your module called PDL::foo that uses the PP function  "bar_pp"  to
       do  the  heavy  lifting.  But you don't want to advertise that "bar_pp" exists. To do this, you must move
       your PP function to the top of your module file, then call

        pp_export_nothing()

       to clear the "EXPORT" list. To ensure that no documentation (even the default PP docs) is generated, set

        Doc => undef

       and to prevent the function from being added to the symbol table, set

        PMFunc => ''

       in your pp_def declaration (see Image2D.pd for an example). This will effectively make your  PP  function
       "private."  However,  it  is always accessible via PDL::bar_pp due to Perl's module design. But making it
       private will cause the user to go very far out of their way to use it, so they shoulder the consequences!

SLICE OPERATION

       The slice operations require a much more intimate knowledge of PDL internals than  the  data  operations.
       Furthermore,  the  complexity of the issues involved is considerably higher than that in the average data
       operation. Nevertheless, functions generated using the slice operations are at the  heart  of  the  index
       manipulation and dataflow capabilities of PDL.  You can get started by reading the section on "P2Child".

       Also,  there  are  a  lot of dirty issues with virtual ndarrays and vaffines which we shall entirely skip
       here.

   Slices and bad values
       Slice operations need  to  be  able  to  handle  bad  values.   The  easiest  thing  to  do  is  look  at
       Basic/Slices/slices.pd to see how this works.

       Along  with "BadCode", there are also the "BadBackCode" and "BadRedoDimsCode" keys for "pp_def". However,
       any "EquivCPOffsCode" should not need changing, since any changes are absorbed into the definition of the
       $EQUIVCPOFFS() macro (i.e. it is handled automatically by PDL::PP).

Handling of "warn" and "barf" in PP Code

       For printing warning messages or aborting/dieing, you can call "warn" or "barf" from PP  code.   However,
       you  should  be aware that these calls have been redefined using C preprocessor macros to "PDL->barf" and
       "PDL->warn". These redefinitions are in place to keep you from inadvertently  calling  perl's  "warn"  or
       "barf" directly, which can cause segfaults during pthreading (i.e. processor multi-threading).

       PDL's  own versions of "barf" and "warn" will queue-up warning or barf messages until after pthreading is
       completed, and then call the perl versions of these routines.

       See PDL::ParallelCPU for more information on pthreading.

       NB As of 2.064, it is highly recommended that you do not call "barf" at all in PP code, but  instead  use
       $CROAK().  This will return a "pdl_error" which will transparently be used to throw the correct exception
       in Perl code, but can be handled suitably by non-Perl callers.

MAKEFILES FOR PP FILES

       If you are going to generate a package from your PP file (typical file extensions are ".pd" or ".pp"  for
       the files containing PP code) it is easiest and safest to leave generation of the appropriate commands to
       the  Makefile.  In  the  following we will outline the typical format of a Perl Makefile to automatically
       build and install your package from a description in a PP file. Most of the rules to build the xs, pm and
       other required files from the PP file are already predefined in the PDL::Core::Dev package. We just  have
       to tell MakeMaker to use it.

       In most cases you can define your Makefile like

         use PDL::Core::Dev;            # Pick up development utilities
         use ExtUtils::MakeMaker;

         $package = ["mylib.pd",Mylib,PDL::Lib::Mylib,'',1];
         %hash = pdlpp_stdargs($package);
         $hash{OBJECT} .= ' additional_Ccode$(OBJ_EXT) ';
         WriteMakefile(%hash);

         sub MY::postamble { pdlpp_postamble($package); }

         # additional_Ccode.c
         #include "pdl.h"
         void ppcp(PDL_Byte *dst, PDL_Byte *src, int len)
         {
           int i;
           for (i=0;i<len;i++) *dst++=*src++;
         }

       Here,  the  list  in $package is: first: PP source file name, then the prefix for the produced files, the
       whole package name, the package to add XS  functions  to  (empty  string  to  use  the  same  as  the  PP
       functions),  and a boolean to dictate whether to have PDL generate a separate C file for each PP function
       (for faster compilation).  The last feature is opt-in as you have to avoid duplicate symbols when linking
       the library (so separate out C functions into their own file).  You can modify the hash in  whatever  way
       you like but it would be reasonable to stay within some limits so that your package will continue to work
       with later versions of PDL.

       To  make  life  even  easier PDL::Core::Dev defines the function "pdlpp_stdargs" that returns a hash with
       default values that can be passed (either directly or  after  appropriate  modification)  to  a  call  to
       WriteMakefile.  Currently, "pdlpp_stdargs" returns a hash where the keys are filled in as follows:

               (
                'NAME'         => $mod,
                VERSION_FROM   => $src,
                'TYPEMAPS'     => [&PDL_TYPEMAP()],
                'OBJECT'       => "$pref\$(OBJ_EXT)",
                PM     => {"$pref.pm" => "\$(INST_LIBDIR)/$pref.pm"},
                MAN3PODS => {"$pref.pm" => "\$(INST_MAN3DIR)/$mod.\$(MAN3EXT)"},
                'INC'          => &PDL_INCLUDE(),
                'LIBS'         => [''],
                'clean'        => {'FILES'  => "$pref.xs $pref.pm $pref\$(OBJ_EXT)"},
               )

       Here,  $src  is  the name of the source file with PP code, $pref the prefix for the generated .pm and .xs
       files and $mod the name of the extension module to generate.

       If your "VERSION_FROM" provides a version, PP will use that to set  the  "XS_VERSION".  If  you  need  to
       influence  the  value  of that variable so that XSLoader etc don't reject the loaded dynamic library, you
       can use this workaround in a "pp_addpm" (the "BEGIN" is because the "bootstrap" happens at  runtime,  and
       your code appears after that call, but with a "BEGIN" it will take place beforehand):

         our $VERSION; BEGIN { $VERSION = '2.019106' };
         our $XS_VERSION; BEGIN { $XS_VERSION = $VERSION };

INTERNALS

       The  internals  of  the current version consist of a large table which gives the rules according to which
       things are translated and the subs which implement these rules.

       Later on, it would be good to make the table modifiable by the user  so  that  different  things  may  be
       tried.

       [Meta  comment:  here  will hopefully be more in the future; currently, your best bet will be to read the
       source code :-( or ask on the list (try the latter first) ]

C PREPROCESSOR MACROS

       As  well  as  the  above-mentioned  "PDL_BAD_CODE"  and  "PDL_IF_BAD(iftrue,iffalse)",  there  are   also
       "PDL_IF_GENTYPE_REAL(iftrue,iffalse)", "PDL_IF_GENTYPE_UNSIGNED", and "PDL_IF_GENTYPE_INTEGER":

         $b() = PDL_IF_GENTYPE_INTEGER(0,NAN);

Appendix A: Some keys recognised by PDL::PP

       Unless otherwise specified, the arguments are strings.

       Pars

       define the signature of your function

       OtherPars

       arguments  which  are not pdls. Default: nothing. This is a semi-colon separated list of arguments, e.g.,
       "OtherPars=>'int k; double value; PerlIO *fp'". See $COMP(x) and also the same entry in Appendix B.

       Code

       the actual code that implements the functionality; several PP macros and PP functions are  recognised  in
       the string value

       HandleBad

       If  set to 1, the routine is assumed to support bad values and the code in the BadCode key is used if bad
       values are present; it also sets things up so that the $ISBAD() etc macros can be used.   If  set  to  0,
       cause the routine to print a warning if any of the input ndarrays have their bad flag set.

       BadCode

       Give  the code to be used if bad values may be present in the input ndarrays.  Only used if "HandleBad =>
       1".  If "HandleBad" is true and "BadCode" is not supplied, the "Code" section  will  be  reused,  on  the
       assumption  it  will  use  "#ifdef  PDL_BAD_CODE"  to  handle  bad values.  As of 2.073, you can, and are
       recommended to, use "PDL_IF_BAD(iftrue,iffalse)".

       CopyBadStatusCode

       As  of  2.079,  this  is   deprecated   due   to   being   largely   unnecessary;   instead,   just   use
       $PDLSTATESETBAD(pdlname)  in  your  "Code"  section and the badflag setting will be propagated to all its
       parents and children.

       The default code here sets the bad flag of the output ndarrays if $BADFLAGCACHE() is true after the  code
       has  been evaluated.  Sometimes "CopyBadStatusCode" is set to an empty string, with the responsibility of
       setting the badflag of the output ndarray left to the "BadCode" section (e.g. the "xxxover"  routines  in
       Basic/Primitive/primitive.pd).

       GenericTypes

       An  array  reference.  The  array  may contain any subset of the one-character strings given below, which
       specify which types your operation will accept. The meaning of each type is:

        B - signed byte (i.e. signed char)
        S - signed short (two-byte integer)
        U - unsigned short
        L - signed long (four-byte integer, int on 32 bit systems)
        N - signed integer for indexing ndarray elements (platform & Perl-dependent size)
        Q - signed long long (eight byte integer)
        F - float
        D - double
        G - complex float
        C - complex double

       This is very useful (and important!) when interfacing an external library.  Default: [qw/B S U L  N  Q  F
       D/]

       Inplace

       Mark a function as being able to work inplace.

        Inplace => 1          if  Pars => 'a(); [o]b();'
        Inplace => ['a']      if  Pars => 'a(); b(); [o]c();'
        Inplace => ['a','c']  if  Pars => 'a(); b(); [o]c(); [o]d();'

       If bad values are being used, care must be taken to ensure the propagation of the badflag when inplace is
       being used; for instance see the code for "setbadtoval" in Basic/Bad/bad.pd.

       Doc

       Used  to  specify a documentation string in Pod format. See PDL::Doc for information on PDL documentation
       conventions. Note: in the special case where the PP 'Doc' string is one line this is implicitly used  for
       the quick reference AND the documentation!

       If  the  Doc  field  is  omitted  PP  will  generate  default documentation (after all it knows about the
       Signature).

       If you really want the function NOT to be documented in any way at  this  point  (e.g.  for  an  internal
       routine, or because you are doing it elsewhere in the code) explicitly specify "Doc=>undef".

       BadDoc

       Contains  the  text  returned  by  the "badinfo" command (in "perldl") or the "-b" switch to the "pdldoc"
       shell script. In many  cases,  you  will  not  need  to  specify  this,  since  the  information  can  be
       automatically created by PDL::PP. However, as befits computer-generated text, it's rather stilted; it may
       be much better to do it yourself!

       NoPthread

       Optional  flag  to  indicate  the  PDL function should not use processor threads (i.e.  pthreads or POSIX
       threads) to split up work across multiple CPU cores. This option is typically set to 1 if the  underlying
       PDL  function  is  not  threadsafe.  If  this  option  isn't  present, then the function is assumed to be
       threadsafe. This option only applies if PDL has been compiled with POSIX threads enabled.

       PMCode

         pp_def('funcname',
           Pars => 'a(); [o] b();',
           PMCode => 'sub PDL::funcname {
             return PDL::_funcname_int(@_) if @_ == 2; # output arg "b" supplied
             PDL::_funcname_int(@_, my $out = PDL->null);
             $out;
           }',
           # ...
         );

       PDL functions allow "[o]" ndarray arguments into which you want the output saved. This is  handy  because
       you  can  allocate  an  output  ndarray once and reuse it many times; the alternative would be for PDL to
       create a new ndarray each time, which may waste compute cycles or, more likely, RAM.

       PDL functions check the number of arguments they are given, and call "croak" if given the  wrong  number.
       By  default  (with  no "PMCode" supplied), any output arguments may be omitted, and PDL::PP provides code
       that can handle this by creating "null" objects, passing them to your code, then returning  them  on  the
       stack.

       If  you  do supply "PMCode", the rest of PDL::PP assumes it will be a string that defines a Perl function
       with the function's name in the "pp_bless" package ("PDL" by default). As the example  implies,  the  PP-
       generated  function  name  will  change from "<funcname>", to "_<funcname>_int". As also shown above, you
       will need to supply all ndarrays in the exact order specified in the signature: output ndarrays  are  not
       optional, and the PP-generated function will not return anything.

       PMFunc

       When pp_def generates functions, it typically defines them in the PDL package. Then, in the .pm file that
       it  generates  for  your module, it typically adds a line that essentially copies that function into your
       current package's symbol table with code that looks like this:

        *func_name = \&PDL::func_name;

       It's a little bit smarter than that (it knows when to wrap that sort of  thing  in  a  BEGIN  block,  for
       example,  and if you specified something different for pp_bless), but that's the gist of it. If you don't
       care to import the function into your current package's symbol table, you can specify

        PMFunc => '',

       PMFunc has no other side-effects, so you could use it to insert arbitrary Perl code into your  module  if
       you like. However, you should use pp_addpm if you want to add Perl code to your module.

       ReadDataFuncName

       Allows  overriding the default function-name, for reading data transformed by this operation. Mainly used
       internally to set it to "NULL", in which  case  a  default  affine-orientated  function  will  be  called
       instead.

       WriteBackDataFuncName

       As  above,  but  for writing transformed data from a child of this transformation back to the parent when
       "BackCode" is supplied.

       AffinePriv

       Flag to indicate this is an affine transformation whose "Priv" (contents  of  the  "pdl_trans")  contains
       data that will need allocating and freeing.

       GlobalNew

       If  supplied,  will prevent generation of an XS function, and assigns the generated C "run" function into
       the named slot in the "Core" struct. This is not used as of 2.058, and instead the relevant  C  functions
       are in pdlaffine.c.

       P2Child

       Forces  "Pars"  to  be  "PARENT"  and  "CHILD",  the  function's  "GenericTypes"  to  be  all of them, no
       "HaveBroadcasting" or "CallCopy", and turns on "DefaultFlow" (so  do  not  supply  any  of  those  args).
       Intended for affine transformations with dataflow.

       DefaultFlow

       If  set,  sets  in the "pdl_transvtable" (see PDL::Internals) the "iflags" such that the trans will start
       with dataflow both forwards and backwards. Note that setting this to any value (including 0) will trigger
       the behaviour.

       HaveBroadcasting

       Default true. If so, generate code implementing broadcasting (see PDL::Indexing).

       CallCopy

       For parameters that get created, normally the "PDL->initialize" will be used (or on a subclass). If  this
       is  true  (which is the default for simple functions i.e. 2-arg with 0-dim signatures), instead the first
       argument's "copy" method will be used.

       TwoWay

       If true, sets in the "pdl_transvtable" (see PDL::Internals) the "iflags" such as to  inform  the  trans's
       error checks connected to dataflow.

       Identity

       If  true,  sets  "RedoDims"  "EquivCPOffsCode" "HandleBad" "P2Child" "TwoWay" such that the function is a
       dataflowing identity transformation.

       BackCode

       For dataflowing functions, this value (which gets parsed) overrides the operation of that  from  children
       ndarrays to parents.

       BadBackCode

       Same but taking account of bad values.

       EquivCPOffsCode

       If  supplied,  allows  concise  control of copying to Child from Parent the data considered Equivalent at
       each given Offset (hence the name); the "Code" and "BackCode" will be generated from this.

       Example:

         pp_def(
           '_clump_int',
           OtherPars => 'int n',
           P2Child => 1,
           RedoDims => # omitted
           EquivCPOffsCode => '
             PDL_Indx i;
             for(i=0; i<$PDL(CHILD)->nvals; i++) $EQUIVCPOFFS(i,i);
           ',
         );

Appendix B: PP macros and functions

   Macros
       $variablename_from_sig()

       access a pdl (by its name) that was specified in the signature

       $COMP(x)

       access a value in the private data structure of this transformation (mainly used to use an argument  that
       is specified in the "OtherPars" section)

       $SIZE(n)

       replaced at runtime by the actual size of a named dimension (as specified in the signature)

       $GENERIC()

       replaced by the C type that is equal to the runtime type of the operation

       $P(a)

       a pointer to the data of the PDL named "a" in the signature. Useful for interfacing to C functions

       $PP(a)

       a physical pointer access to pdl "a"; mainly for internal use

       $TXYZ(AlternativeX,AlternativeY,AlternativeZ)

       expansion  alternatives  according to runtime type of operation, where XXX is some string that is matched
       by "/[BSULNQFD+]/".

       $PDL(a)

       return a pointer to the pdl data structure (pdl *) of ndarray "a"

       $ISBAD(a())

       returns true if the value stored in a() equals the bad value  for  this  ndarray.   Requires  "HandleBad"
       being set to 1.

       $ISGOOD(a())

       returns  true  if  the  value  stored  in  a()  does  not equal the bad value for this ndarray.  Requires
       "HandleBad" being set to 1.

       $SETBAD(a())

       Sets a() to equal the bad value for this ndarray.  Requires "HandleBad" being set to 1.

       $PRIV()

       To access fields in the "pdl_trans", eg $PRIV(offs).

       $CROAK()

       Returns a "pdl_error" with the supplied (var-args) message, adding the function name at the start,  which
       will  cause  a "barf" within the Perl code. This is (as of 2.064) a change in PDL functions' API, so that
       callers can handle exceptions in their preferred way, which may not use Perl at all.

       $EQUIVCPOFFS()

       Copy from the "PARENT" parameter at the first given offset, to the "CHILD" parameter at the second  given
       offset.

       $EQUIVCPTRUNC()

       Similar,  but if the expression given as the third parameter is false, instead set the "CHILD"'s value to
       0.

       $DOCOMPALLOC()

       Allocates memory for  any  "Comp"  arrays,  after  their  size  has  been  determined,  e.g.  here  after
       $COMP(whichdims_count) has been set:

           Comp => 'PDL_Indx whichdims[$COMP(whichdims_count)]',

       $DOPRIVALLOC()

       As  above,  except  the  key is "Priv"; because it is "Priv", this is only for entries in the "pdl_trans"
       itself, and almost certainly only for operations where "AffinePriv" is true.

       $SETNDIMS()

       For affine transformations (specifically, ones which set P2Child to true), set the child's "ndims" to the
       given value and allocate a suitably-sized array of dimension values.

       $SETDIMS()

       Similarly for affine transformations, after the above and then the actual dimension sizes  are  set,  use
       this to resize the child ndarray to the right size.

       $SETDELTABROADCASTIDS()

       Similarly  again,  this sets the child's "nbroadcastids" to the same as the parent's, allocates space for
       the "broadcastids", then sets the child's ones to the same as the parent's plus the given value.

       To get a flavour of what "broadcastids" are for, in the normal way of things the first (0th) one  in  the
       parent is the highest dimension-number in it.  See PDL::Indexing for more.

   functions
       "loop(DIMS) %{ ... %}"

       loop over named dimensions; limits are generated automatically by PP

       "broadcastloop %{ ... %}"

       enclose following code in a broadcast loop

       As of 2.075, "threadloop" is a deprecated alias for this.

       "types(TYPES) %{ ... %}"

       execute following code if type of operation is any of "TYPES"

Appendix C: Functions imported by PDL::PP

       A  number  of  functions  are  imported  when you "use PDL::PP". These include functions that control the
       generated C or XS code, functions that control the generated Perl code, and functions that manipulate the
       packages and symbol tables into which the code is created.

   Generating C and XS Code
       PDL::PP's main purpose is to make it easy for you to wrap the broadcasting engine around your own C code,
       but you can do some other things, too.

       pp_def

       Used to wrap the broadcasting engine around your C code. Virtually all of this document discusses the use
       of pp_def.

       pp_done

       Indicates you are done with PDL::PP and that it should generate its .xs and  .pm  files  based  upon  the
       other pp_* functions that you have called.  This function takes no arguments.

       pp_addxs

       This  lets  you  add  XS  code  to  your  .xs  file. This is useful if you want to create Perl-accessible
       functions that invoke C code but cannot or should not invoke the broadcasting engine. XS is the  standard
       means by which you wrap Perl-accessible C code. You can learn more at perlxs.

       pp_add_boot

       This  function adds whatever string you pass to the XS BOOT section. The BOOT section is C code that gets
       called by Perl when your module is loaded and is useful for automatic initialization. You can learn  more
       about XS and the BOOT section at perlxs.

       pp_addhdr

       Adds  pure-C  code  to  your  XS  file. XS files are structured such that pure C code must come before XS
       specifications. This allows you to specify such C code.

   Generating Perl Code
       Many functions imported when you use PDL::PP allow you to modify the contents of the generated .pm  file.
       In  addition to pp_def and pp_done, the role of these functions is primarily to add code to various parts
       of your generated .pm file.

       pp_addpm

       Adds Perl code to the generated .pm file. PDL::PP actually keeps track of  three  different  sections  of
       generated  code:  the  Top, the Middle, and the Bottom. You can add Perl code to the Middle section using
       the one-argument form, where the argument is the Perl code you want to supply. In the two-argument  form,
       the  first  argument  is  an  anonymous  hash  with  only  one key that specifies where to put the second
       argument, which is the string that you want to add to the .pm file. The hash is one of these three:

        {At => 'Top'}
        {At => 'Middle'}
        {At => 'Bot'}

       For example:

        pp_addpm({At => 'Bot'}, <<POD);

        =head1 Some documentation

        I know I'm typing this in the middle of my file, but it'll go at
        the bottom.

        =cut

        POD

       Warning: If, in the middle of your .pd file, you put documentation meant for the bottom of your pod,  you
       will  thoroughly  confuse  CPAN.  On the other hand, if in the middle of your .pd file, you add some Perl
       code destined for the bottom or top of your .pm file, you only have yourself to confuse. :-)

       pp_beginwrap

       Adds BEGIN-block wrapping. Certain declarations can be  wrapped  in  BEGIN  blocks,  though  the  default
       behavior is to have no such wrapping.

       pp_addbegin

       Sets code to be added to the top of your .pm file, even above code that you specify with "pp_addpm({At =>
       'Top'},  ...)".  Unlike  pp_addpm,  calling  this  overwrites  whatever  was there before. Generally, you
       probably shouldn't use it.

   Tracking Line Numbers
       When you get compile errors, either from your C-like code or your Perl code, it can help  to  make  those
       errors back to the line numbers in the source file at which the error occurred.

       pp_line_numbers

       Takes  a  line  number  and  a (usually long) string of code. The line number should indicate the line at
       which the quote begins. This is usually Perl's "__LINE__" literal, unless  you  are  using  heredocs,  in
       which  case  it  is  "__LINE__  +  1".  The returned string has #line directives interspersed to help the
       compiler report errors on the proper line.

   Modifying the Symbol Table and Export Behavior
       PDL::PP usually exports all functions generated using pp_def, and usually  installs  them  into  the  PDL
       symbol table. However, you can modify this behavior with these functions.

       pp_bless

       Sets  the  package  (symbol  table) to which the XS code is added. The default is PDL, which is generally
       what you want. If you use the default blessing and you create a function myfunc,  then  you  can  do  the
       following:

        $ndarray->myfunc(<args>);
        PDL::myfunc($ndarray, <args>);

       On  the  other  hand,  if  you  bless  your functions into another package, you cannot invoke them as PDL
       methods, and must invoke them as:

        MyPackage::myfunc($ndarray, <args>);

       Of course, you could always use the PMFunc key to add your function to the PDL symbol table, but  why  do
       that?

       pp_add_isa

       Adds to the list of modules from which your module inherits. The default list is

        qw(PDL::Exporter DynaLoader)

       pp_core_importlist

       At the top of your generated .pm file is a line that looks like this:

        use PDL::Core;

       You can modify that by specifying a string to pp_core_importlist. For example,

        pp_core_importlist('::Blarg');

       will result in

        use PDL::Core::Blarg;

       You can use this, for example, to add a list of symbols to import from PDL::Core. For example:

        pp_core_importlist(" ':Internal'");

       will lead to the following use statement:

        use PDL::Core ':Internal';

       pp_setversion

       Sets  your module's version. The version must be consistent between the .xs and the .pm file, and is used
       to ensure that your Perl's libraries do not suffer from version skew.

       pp_add_exported

       Adds to the export list whatever names you give it.  Functions created  using  pp_def  are  automatically
       added  to  the  list. This function is useful if you define any Perl functions using pp_addpm or pp_addxs
       that you want exported as well.

       pp_export_nothing

       This resets the list of exported symbols to nothing. This is probably  better  called  "pp_export_clear",
       since  you  can  add  exported symbols after calling "pp_export_nothing". When called just before calling
       pp_done, this ensures that your  module  does  not  export  anything,  for  example,  if  you  only  want
       programmers to use your functions as methods.

SEE ALSO

       For the concepts of broadcasting and slicing check PDL::Indexing.

       PDL::Internals

       PDL::BadValues for information on bad values

       perlxs, perlxstut

       Practical   Magick   with   C,   PDL,   and   PDL::PP   --   a   guide   to   compiled  add-ons  for  PDL
       <https://arxiv.org/abs/1702.07753>

BUGS

       Although PDL::PP is quite flexible and thoroughly used, there are surely bugs. First amongst  them:  this
       documentation needs a thorough revision.

AUTHOR

       Copyright(C)  1997 Tuomas J. Lukka (lukka@fas.harvard.edu), Karl Glaazebrook (kgb@aaocbn1.aao.GOV.AU) and
       Christian Soeller (c.soeller@auckland.ac.nz). All rights reserved.   Documentation  updates  Copyright(C)
       2011  David  Mertens  (dcmertens.perl@gmail.com).  This documentation is licensed under the same terms as
       Perl itself.

perl v5.38.2                                       2024-04-10                                             PP(1p)