Provided by: tcllib_1.21+dfsg-1_all bug

NAME

       math::machineparameters - Compute double precision machine parameters.

SYNOPSIS

       package require Tcl  8.4

       package require snit

       package require math::machineparameters  0.1

       machineparameters create objectname ?options...?

       objectname configure ?options...?

       objectname cget opt

       objectname destroy

       objectname compute

       objectname get key

       objectname tostring

       objectname print

_________________________________________________________________________________________________

DESCRIPTION

       The  math::machineparameters  package is the Tcl equivalent of the DLAMCH LAPACK function.
       In floating point systems, a floating point number is represented by

              x = +/- d1 d2 ... dt basis^e

       where digits satisfy

              0 <= di <= basis - 1, i = 1, t

       with the convention :

       •      t is the size of the mantissa

       •      basis is the basis (the "radix")

       The compute method computes all machine parameters.  Then, the get method can be  used  to
       get each parameter.  The print method prints a report on standard output.

EXAMPLE

       In  the  following  example,  one compute the parameters of a desktop under Linux with the
       following Tcl 8.4.19 properties :

              % parray tcl_platform
              tcl_platform(byteOrder) = littleEndian
              tcl_platform(machine)   = i686
              tcl_platform(os)        = Linux
              tcl_platform(osVersion) = 2.6.24-19-generic
              tcl_platform(platform)  = unix
              tcl_platform(tip,268)   = 1
              tcl_platform(tip,280)   = 1
              tcl_platform(user)      = <username>
              tcl_platform(wordSize)  = 4

       The following example creates a machineparameters  object,  computes  the  properties  and
       displays it.

                   set pp [machineparameters create %AUTO%]
                   $pp compute
                   $pp print
                   $pp destroy

       This prints out :

                   Machine parameters
                   Epsilon : 1.11022302463e-16
                   Beta : 2
                   Rounding : proper
                   Mantissa : 53
                   Maximum exponent : 1024
                   Minimum exponent : -1021
                   Overflow threshold : 8.98846567431e+307
                   Underflow threshold : 2.22507385851e-308

       That compares well with the results produced by Lapack 3.1.1 :

                   Epsilon                      =   1.11022302462515654E-016
                   Safe minimum                 =   2.22507385850720138E-308
                   Base                         =    2.0000000000000000
                   Precision                    =   2.22044604925031308E-016
                   Number of digits in mantissa =    53.000000000000000
                   Rounding mode                =   1.00000000000000000
                   Minimum exponent             =   -1021.0000000000000
                   Underflow threshold          =   2.22507385850720138E-308
                   Largest exponent             =    1024.0000000000000
                   Overflow threshold           =   1.79769313486231571E+308
                   Reciprocal of safe minimum   =   4.49423283715578977E+307

       The following example creates a machineparameters object, computes the properties and gets
       the epsilon for the machine.

                   set pp [machineparameters create %AUTO%]
                   $pp compute
                   set eps [$pp get -epsilon]
                   $pp destroy

REFERENCES

       •      "Algorithms to Reveal Properties of Floating-Point Arithmetic", Michael A. Malcolm,
              Stanford  University,  Communications  of the ACM, Volume 15 ,  Issue 11  (November
              1972), Pages: 949 - 951

       •      "More on Algorithms that Reveal Properties of Floating, Point Arithmetic Units", W.
              Morven  Gentleman,  University  of  Waterloo, Scott B. Marovich, Purdue University,
              Communications of the ACM, Volume 17 ,  Issue 5  (May 1974), Pages: 276 - 277

CLASS API

       machineparameters create objectname ?options...?
              The command creates a new machineparameters object and returns the fully  qualified
              name of the object command as its result.

              -verbose verbose
                     Set  this  option to 1 to enable verbose logging.  This option is mainly for
                     debug purposes.  The default value of verbose is 0.

OBJECT API

       objectname configure ?options...?
              The command configure the options of the object objectname.  The  options  are  the
              same as the static method create.

       objectname cget opt
              Returns  the value of the option which name is opt. The options are the same as the
              method create and configure.

       objectname destroy
              Destroys the object objectname.

       objectname compute
              Computes the machine parameters.

       objectname get key
              Returns the value corresponding with given key.   The  following  is  the  list  of
              available keys.

              •      -epsilon : smallest value so that 1+epsilon>1 is false

              •      -rounding : The rounding mode used on the machine.  The rounding occurs when
                     more than t digits would be required to represent the number.  Two modes can
                     be  determined with the current system : "chop" means than only t digits are
                     kept, no matter the value of the number "proper" means that another rounding
                     mode is used, be it "round to nearest", "round up", "round down".

              •      -basis  :  the  basis  of  the  floating-point representation.  The basis is
                     usually 2, i.e. binary representation (for example IEEE 754  machines),  but
                     some machines (like HP calculators for example) uses 10, or 16, etc...

              •      -mantissa : the number of bits in the mantissa

              •      -exponentmax :  the largest positive exponent before overflow occurs

              •      -exponentmin  :  the  largest  negative  exponent before (gradual) underflow
                     occurs

              •      -vmax : largest positive value before overflow occurs

              •      -vmin : largest negative value before (gradual) underflow occurs

       objectname tostring
              Return a report for machine parameters.

       objectname print
              Print machine parameters on standard output.

BUGS, IDEAS, FEEDBACK

       This document, and the package it describes,  will  undoubtedly  contain  bugs  and  other
       problems.    Please   report   such   in   the   category  math  of  the  Tcllib  Trackers
       [http://core.tcl.tk/tcllib/reportlist].  Please also report any ideas for enhancements you
       may have for either package and/or documentation.

       When proposing code changes, please provide unified diffs, i.e the output of diff -u.

       Note further that attachments are strongly preferred over inlined patches. Attachments can
       be made by going to the Edit form of the ticket immediately after its creation,  and  then
       using the left-most button in the secondary navigation bar.

COPYRIGHT

       Copyright (c) 2008 Michael Baudin <michael.baudin@sourceforge.net>