Release calc version 2.12.5.2

BUGS

@@ -20,26 +20,43 @@ configuration, try backing them out and see if things get better.
 
 To be sure that your version of calc is up to date, check out:
 
-	http://reality.sgi.com/chongo/tech/comp/calc/calc-download.html
+	http://www.isthe.com/chongo/tech/comp/calc/calc-download.html
 
 The calc web site is located at:
 
-	http://reality.sgi.com/chongo/tech/comp/calc/index.html
+	http://www.isthe.com/chongo/tech/comp/calc/index.html
 
 =-=
 
 If you have tried all of the above and things still are not right,
-then it may be time to send in a bug report.  You can send bug reports to:
+then it may be time to send in a bug report.  You can send bug
+and bug fixes reports to:
 
-    calc-bugs at postofc dot corp dot sgi dot com
+	calc-bug-report at asthe dot com
 
-    [[ Replace 'at' with @, 'dot' is with . and remove the spaces ]]
+	NOTE: Remove spaces and replace 'at' with @, 'dot' with .
+
+    This replaces the old calc-bugs at asthe dot com address.
+
+    To be sure we see your EMail reporting a calc bug, please use the
+    following phase in your EMail Subject line:
+
+	calc bug report
+
+    That phrase in your subject line will help ensure your request
+    will get past our anti-spam filters.  You may have additional
+    words in your subject line.
+
+    However, you may find it more helpful to simply subscribe
+    to the calc-tester mailing list (see below) and then to
+    send your report to that mailing list as a wider set calc
+    testers may be able to help you.
 
 When you send your report, please include the following information:
 
     * a description of the problem
     * the version of calc you are using (if you cannot get calc
-      it to run, then send us the 4 #define lines from version.c)
+      to run, then send us the 4 #define lines from version.c)
     * if you modified calc from an official patch, send me the mods you made
     * the type of system you were using
     * the type of compiler you were using
@@ -53,58 +70,15 @@ When you send your report, please include the following information:
 
 Stack traces from core dumps are useful to send as well.
 
-=-=
-
-Send any comments, compiler warning messages, suggestions and most
-importantly, fixes (in the form of a context diff patch) to:
-
-    calc-tester at postofc dot corp dot sgi dot com
-
-    [[ Replace 'at' with @, 'dot' is with . and remove the spaces ]]
-
-You should use the above calc-bugs address for bug reports, if you are
-not currently a member of the calc-tester mailing list.
+Fell free to use the above address to send in big fixes (in the form
+of a context diff patch).
 
 =-=
 
 Known bugs:
 
-    * Calc does not support the #! exec method.	 For example of the
-      following is placed in an executable file (assume the path to
-      calc is correct) called /tmp/xyzzy:
-
-	    #!/usr/local/bin/calc
-	    /*
-	     * comment
-	     */
-	    print 2+3;
-
-      Will result in '"tmp" is undefined' and '"xyzzy" is undefined'
-      error messages because calc considers $0 as an expression to
-      evaluate.
-
-    * The following file:
-
-	    /* this is bugdemo.cal */
-	    x = eval(prompt(">>> "));
-	    print x;
-
-      when executed as:
-
-	    calc read bugdemo.cal
-
-      will obtain a prompt from the terminal, print the value but leave
-      the terminal in a 'bad' state, as if stty -icanon -echo -echoe
-      had been executed.
-
-    * Use of 'fmt' in the 2nd arg of printf() calls in c_sysinfo.c
-      cause some compilers to issue warnings.
-
-    * The builtin function exp(x) will return 0 when x is a large value
-      in certain cases such as exp(2^32).
-
-    * The builtin function power(x,y) will return 0 in certain cases
-      such as power(pi(),2^32).
+    The output of the alg_config.cal resource file is bogus.
+    We would welcome a replacement for this code.
 
     We are sure some more bugs exist.  When you find them, please let
     us know!  See the above for details on how to report and were to
@@ -112,76 +86,102 @@ Known bugs:
 
 =-=
 
-Problems with known work-a-rounds:
+mis-features in calc:
 
-    * There is a bug in gcc-2.95 that causes calc, when compiled with -O2,
-      to fail the regression test.  The work-a-round is to compile with -O
-      or to use gcc-2.96 or later.
+    Some problems are not bugs but rather mis-features / things that could
+    work better.  The following is a list of mis-features that should be
+    addressed and improved someday.
 
-    * Solaris cc somtimes barfs while compiling zrand.c.  In particular, calc
-      barfs on on the SVAL macro.  The work-a-round is to use the Solaric cc
-      Makefile set sets -DFORCE_STDC.  I.e,:
+    * When statement is of the form { ... }, the leading { MUST BE ON
+      THE SAME LINE as the if, for, while or do keyword.
 
-	    CCWARN=
-	    CCOPT= ${DEBUG} ${NO_SHARED}
-	    CCMISC= -DFORCE_STDC
-	    #
-	    CFLAGS= ${CCWARN} ${CCOPT} ${CCMISC}
-	    ICFLAGS= ${CCWARN} ${CCMISC}
-	    #
-	    LCFLAGS=
-	    LDFLAGS= ${NO_SHARED} ${LD_NO_SHARED}
-	    ILDFLAGS=
-	    #
-	    LCC= cc
-	    CC= ${PURIFY} ${LCC}
+      This works as expected:
 
-    * There is a bug in some versions of the Dec/Compaq cc for the Alpha
-      where the following:
-
-	    #include <stdio.h>
-	    #define SVAL(a,b) (unsigned long)(0x ## a ## b ## ULL)
-	    main(){SVAL(b8a8aeb0,8168eadc);}
-
-      fails because it puts a space inside the concatenated hex.  Calc
-      has code that is affected by this bug.  This bug has been reported
-      to Compaq and may be fixed in the future.	 A work-a-round is to
-      compile with cc -std0 or to use a later version of their compiler.
-
-    * On a Digital UNIX V4.0F (Rev. 1229) on a 500 Mhz 21264, make check
-      dies a horrible death starting in test 600 and 622 gives 100s of
-      messages for calc version 2.11.0t9.4 using the Dec's cc with -O2:
-
-	600: Beginning test_bignums
-	601: muldivcheck 1
-	**** abc != acb: 602: muldivcheck 2
-	**** acb != bac: 602: muldivcheck 2
+	if (expr) {
 	    ...
-	**** t4 != a4: 622: algcheck 1
-	**** t5 != a5: 622: algcheck 1
-	**** t6 != a6: 622: algcheck 1
-	**** t4 != a4: 622: algcheck 1
+	}
+
+      However this WILL NOT WORK AS EXPECTED:
+
+	if (expr)
+	{
 	    ...
+	}
 
-	it finally hangs at test 2000.
+      This needs to be changed.  See also "help statement", "help unexpected",
+      and "help todo".
 
-      The work-a-round is to compile calc without the optimizer.  If this
-      happens to you, try compiling without -O and without -O2.	 I.e., in
-      the Makefile, set:
+    * The chi.cal resource file does not work well with odd degrees
+      of freedom.  Can someone improve this algorithm?
 
-	DEBUG= -g
+    * The intfile.cal resource file reads and writes big or little Endian
+      integers to/from files the hard way.  It does NOT use blkcpy.  The
+      following code:
 
-    * There are problems compiling calc on the sparcv9 under 64 bit
-      Solaris.  On that platform, gcc-2.96 is able to compile calc, but
-      calc dumps core very early on in startup.  It is said that sparcv9
-      support in gcc-2.96 is very unofficial and thus there is no
-      work-a-round for gcc-2-96.
+	i = (ord("\n") << 16) | (ord("i") << 8) | ord("H")
+	b = blk()
+	copy(i, b)
+	fd = fopen("file", "w")
+	copy(b, fd);
+	fclose(fd)
 
-      There is a work-a-round for this architecture us one is using the
-      Solaris CC on the sparcv9.  It has been reported that setting the
-      following Makefile variables will produce a working version of
-      calc on the sparcv9 under 64 bit Solaris:
+      will write an extra NUL octet to the file.  Where as:
 
-	    LCC="cc -xarch=v9"
-	    CCWARN="-DFORCE_STDC -w"
-	    DEBUG="-fast -xarch=v9"
+	read intfile
+	i = (ord("\n") << 16) | (ord("i") << 8) | ord("H")
+	be2file(i, "file2")
+
+      will not.
+
+=-=
+
+To subscribe to the calc-tester mailing list, visit the following URL:
+
+	http://www.isthe.com/chongo/tech/comp/calc/calc-tester.html
+
+    This is a low volume moderated mailing list.
+
+    This mailing list replaces calc-tester at asthe dot com list.
+
+    If you need a human to help you with your mailing list subscription,
+    please send EMail to our special:
+
+	calc-tester-maillist-help at asthe dot com
+
+	NOTE: Remove spaces and replace 'at' with @, 'dot' with .
+
+    address.  To be sure we see your EMail asking for help with your
+    mailing list subscription, please use the following phase in your
+    EMail Subject line:
+
+	calc tester mailing list help
+
+    That phrase in your subject line will help ensure your
+    request will get past our anti-spam filters.  You may have
+    additional words in your subject line.
+
+## Copyright (C) 1999-2014  Landon Curt Noll
+##
+## Calc is open software; you can redistribute it and/or modify it under
+## the terms of the version 2.1 of the GNU Lesser General Public License
+## as published by the Free Software Foundation.
+##
+## Calc is distributed in the hope that it will be useful, but WITHOUT
+## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+## or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+## Public License for more details.
+##
+## A copy of version 2.1 of the GNU Lesser General Public License is
+## distributed with calc under the filename COPYING-LGPL.  You should have
+## received a copy with calc; if not, write to Free Software Foundation, Inc.
+## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+##
+## @(#) $Revision: 30.5 $
+## @(#) $Id: BUGS,v 30.5 2014/10/12 12:23:43 chongo Exp $
+## @(#) $Source: /usr/local/src/bin/calc/RCS/BUGS,v $
+##
+## Under source code control:	1994/03/18 14:06:13
+## File existed as early as:	1994
+##
+## chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+## Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/

COPYING

@@ -0,0 +1,243 @@
+		calc - arbitrary precision calculator
+
+
+This file is Copyrighted
+------------------------
+
+    This file is covered under the following Copyright:
+
+	Copyright (C) 1999-2014  Landon Curt Noll
+	All rights reserved.
+
+	Everyone is permitted to copy and distribute verbatim copies
+	of this license document, but changing it is not allowed.
+
+    # @(#) $Revision: 30.6 $
+    # @(#) $Id: COPYING,v 30.6 2014/10/12 12:23:43 chongo Exp $
+    # @(#) $Source: /usr/local/src/bin/calc/RCS/COPYING,v $
+
+-=-
+
+Calc is covered by the GNU Lesser General Public License
+--------------------------------------------------------
+
+    Calc is open software; you can redistribute it and/or modify it under
+    the terms of the GNU Lesser General Public License as published by
+    the Free Software Foundation version 2.1 of the License.
+
+    Calc is several binary link libraries, several modules, associated
+    interface definition files and scripts used to control its compilation
+    and installation.
+
+    Calc is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+    or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+    Public License for more details.
+
+    A copy of the GNU Lesser General Public License is distributed with
+    calc under the filename:
+
+	    COPYING-LGPL
+
+    You may display this file by the calc command:	help copying
+
+    You may display the GNU Lesser General
+    Public License by the calc command:			help copying-lgpl
+
+    You should have received a copy of the version 2.1 GNU Lesser General
+    Public License with calc; if not, write to the following address:
+
+	    Free Software Foundation, Inc.
+	    51 Franklin Street
+	    Fifth Floor
+	    Boston, MA  02110-1301
+	    USA
+
+    To subscribe to the calc-tester mailing list, visit the following URL:
+
+	    http://www.isthe.com/chongo/tech/comp/calc/calc-tester.html
+
+	This is a low volume moderated mailing list.
+
+	This mailing list replaces calc-tester at asthe dot com list.
+
+	If you need a human to help you with your mailing list subscription,
+	please send EMail to our special:
+
+	    calc-tester-maillist-help at asthe dot com
+
+	    NOTE: Remove spaces and replace 'at' with @, 'dot' with .
+
+	address.  To be sure we see your EMail asking for help with your
+	mailing list subscription, please use the following phase in your
+	EMail Subject line:
+
+	    calc tester mailing list help
+
+	That phrase in your subject line will help ensure your
+	request will get past our anti-spam filters.  You may have
+	additional words in your subject line.
+
+-=-
+
+    Calc bug reports and calc bug fixes should be sent to:
+
+	    calc-bug-report at asthe dot com
+
+	    NOTE: Remove spaces and replace 'at' with @, 'dot' with .
+
+	This replaces the old calc-bugs at asthe dot com address.
+
+	To be sure we see your EMail reporting a calc bug, please use the
+	following phase in your EMail Subject line:
+
+	    calc bug report
+
+	That phrase in your subject line will help ensure your
+	request will get past our anti-spam filters.  You may have
+	additional words in your subject line.
+
+	However, you may find it more helpful to simply subscribe
+	to the calc-tester mailing list (see above) and then to
+	send your report to that mailing list as a wider set calc
+	testers may be able to help you.
+
+-=-
+
+    The calc web site is located at:
+
+	http://www.isthe.com/chongo/tech/comp/calc/
+
+    NOTE: The EMail address uses 'asthe', while the web site uses 'isthe'.
+
+-=-
+
+Calc's relationship to the GNU Lesser General Public License
+------------------------------------------------------------
+
+    In section 0 of the GNU Lesser General Public License, one finds
+    the following definition:
+
+	The "Library", below, refers to any such software library or
+	work which has been distributed under these terms.
+
+    Calc is distributed under the terms of the GNU Lesser
+    General Public License.
+
+    In the same section 0, one also find the following:
+
+	For a library, complete source code means all the source code
+	for all modules it contains, plus any associated interface
+	definition files, plus the scripts used to control compilation
+	and installation of the library.
+
+    There are at least two calc binary link libraries found in calc:
+
+	libcalc.a	libcustcalc.a
+
+    Clearly all files that go into the creation of those binary link
+    libraries are covered under the License.
+
+    The ``scripts used to control compilation and installation of the
+    of the library'' include:
+
+	* Makefiles
+	* source files created by the Makefiles
+	* source code used in the creation of intermediate source files
+
+     All of those files are covered under the License.
+
+     The ``associated interface definition files'' are those files that:
+
+	* show how the calc binary link libraries are used
+	* test the validity of the binary link libraries
+	* document routines found in the binary link libraries
+	* show how one can interactively use the binary link libraries
+
+     Calc provides an extensive set of files that perform the above
+     functions.
+
+	* files under the sample sub-directory
+	* files under the help sub-directory
+	* files under the lib sub-directory
+	* the main calc.c file
+
+     The ``complete source code'' includes ALL files shipped with calc,
+     except for the exception files explicitly listed in the ``Calc
+     copyrights and exception files'' section below.
+
+-=-
+
+Calc copyrights and exception files
+-----------------------------------
+
+    With the exception of the files listed below, Calc is covered under
+    the following GNU Lesser General Public License Copyrights:
+
+	Copyright (C) year  David I. Bell
+	Copyright (C) year  David I. Bell and Landon Curt Noll
+	Copyright (C) year  David I. Bell and Ernest Bowen
+	Copyright (C) year  David I. Bell, Landon Curt Noll and Ernest Bowen
+	Copyright (C) year  Landon Curt Noll
+	Copyright (C) year  Ernest Bowen and Landon Curt Noll
+	Copyright (C) year  Ernest Bowen
+	Copyright (C) year  Petteri Kettunen and Landon Curt Noll
+	Copyright (C) year  Christoph Zurnieden
+
+    These files are not covered under one of the Copyrights listed above:
+
+	    sha1.c		sha1.h		COPYING
+	    COPYING-LGPL	cal/qtime.cal	cal/screen.cal
+
+    The file COPYING-LGPL, which contains a copy of the version 2.1
+    GNU Lesser General Public License, is itself Copyrighted by the
+    Free Software Foundation, Inc.  Please note that the Free Software
+    Foundation, Inc. does NOT have a copyright over calc, only the
+    COPYING-LGPL that is supplied with calc.
+
+    This file, COPYING, is distributed under the Copyright found at the
+    top of this file.  It is important to note that you may distribute
+    verbatim copies of this file but you may not modify this file.
+
+    Some of these exception files are in the public domain.  Other files
+    are under the LGPL but have different authors that those listed above.
+
+    In all cases one may use and distribute these exception files freely.
+    And because one may freely distribute the LGPL covered files, the
+    entire calc source may be freely used and distributed.
+
+-=-
+
+General Copyleft and License info
+---------------------------------
+
+    For general information on Copylefts, see:
+
+	http://www.gnu.org/copyleft/
+
+    For information on GNU Lesser General Public Licenses, see:
+
+	http://www.gnu.org/copyleft/lesser.html
+	http://www.gnu.org/copyleft/lesser.txt
+
+-=-
+
+Why calc did not use the GNU General Public License
+---------------------------------------------------
+
+    It has been suggested that one should consider using the GNU General
+    Public License instead of the GNU Lesser General Public License:
+
+	http://www.gnu.org/philosophy/why-not-lgpl.html
+
+    As you can read in the above URL, there are times where a library
+    cannot give free software any particular advantage.	 One of those
+    times is when there is significantly similar versions available
+    that are not covered under a Copyleft such as the GNU General Public
+    License.
+
+    The reason why calc was placed under the GNU Lesser General Public
+    License is because for many years (1984 thru 1999), calc was offered
+    without any form of Copyleft.  At the time calc was placed under
+    the GNU Lesser General Public License, a number of systems and
+    distributions distributed calc without a Copyleft.

COPYING-LGPL

@@ -0,0 +1,503 @@
+                  GNU LESSER GENERAL PUBLIC LICENSE
+                       Version 2.1, February 1999
+
+ Copyright (C) 1991, 1999 Free Software Foundation, Inc.
+ 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+[This is the first released version of the Lesser GPL.  It also counts
+ as the successor of the GNU Library Public License, version 2, hence
+ the version number 2.1.]
+
+                            Preamble
+
+  The licenses for most software are designed to take away your
+freedom to share and change it.  By contrast, the GNU General Public
+Licenses are intended to guarantee your freedom to share and change
+free software--to make sure the software is free for all its users.
+
+  This license, the Lesser General Public License, applies to some
+specially designated software packages--typically libraries--of the
+Free Software Foundation and other authors who decide to use it.  You
+can use it too, but we suggest you first think carefully about whether
+this license or the ordinary General Public License is the better
+strategy to use in any particular case, based on the explanations below.
+
+  When we speak of free software, we are referring to freedom of use,
+not price.  Our General Public Licenses are designed to make sure that
+you have the freedom to distribute copies of free software (and charge
+for this service if you wish); that you receive source code or can get
+it if you want it; that you can change the software and use pieces of
+it in new free programs; and that you are informed that you can do
+these things.
+
+  To protect your rights, we need to make restrictions that forbid
+distributors to deny you these rights or to ask you to surrender these
+rights.  These restrictions translate to certain responsibilities for
+you if you distribute copies of the library or if you modify it.
+
+  For example, if you distribute copies of the library, whether gratis
+or for a fee, you must give the recipients all the rights that we gave
+you.  You must make sure that they, too, receive or can get the source
+code.  If you link other code with the library, you must provide
+complete object files to the recipients, so that they can relink them
+with the library after making changes to the library and recompiling
+it.  And you must show them these terms so they know their rights.
+
+  We protect your rights with a two-step method: (1) we copyright the
+library, and (2) we offer you this license, which gives you legal
+permission to copy, distribute and/or modify the library.
+
+  To protect each distributor, we want to make it very clear that
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+
+  Finally, software patents pose a constant threat to the existence of
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+  Most GNU software, including some libraries, is covered by the
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+General Public License, applies to certain designated libraries, and
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+
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+Public License permits more lax criteria for linking other code with
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+
+  We call this license the "Lesser" General Public License because it
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+
+  Although the Lesser General Public License is Less protective of the
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+
+  The precise terms and conditions for copying, distribution and
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+
+                  GNU LESSER GENERAL PUBLIC LICENSE
+   TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+  0. This License Agreement applies to any software library or other
+program which contains a notice placed by the copyright holder or
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+
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+
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+    modify it under the terms of the GNU Lesser General Public
+    License as published by the Free Software Foundation; either
+    version 2.1 of the License, or (at your option) any later version.
+
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+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+    Lesser General Public License for more details.
+
+    You should have received a copy of the GNU Lesser General Public
+    License along with this library; if not, write to the Free Software
+    Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301
+    USA
+
+Also add information on how to contact you by electronic and paper mail.
+
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+school, if any, to sign a "copyright disclaimer" for the library, if
+necessary.  Here is a sample; alter the names:
+
+  Yoyodyne, Inc., hereby disclaims all copyright interest in the
+  library `Frob' (a library for tweaking knobs) written by James Random Hacker.
+
+  <signature of Ty Coon>, 1 April 1990
+  Ty Coon, President of Vice
+
+That's all there is to it!

HOWTO.INSTALL

@@ -1,8 +1,108 @@
-Installing calc in 4 easy steps:
+Installing calc from the bzip2-ed tarball in 4 easy steps:
+
+    0)  If your platform supports i686 RPMs, you may want to go to:
+
+	    http://www.isthe.com/chongo/src/calc/
+
+	and use these RPMs:
+
+	    * calc*.i686.rpm
+		- all that is needed if you just want to use calc
+
+	    * calc-devel-*.i686.rpm
+	        - calc *.h header and *.a lib files for use in other programs
+
+	    * calc.*.src.rpm
+	        - calc source in RPM package form
+
+	The following 4 steps apply to calc source tree that comes from either:
+
+		bunzip2 -c calc-*.tar.bz2 | tar -xvf -
+
+	or from:
+
+		rpm -ivh calc-*.src.rpm
+		cd /var/tmp
+		bunzip2 -c /usr/src/redhat/SOURCES/calc-*.tar.bz2 | tar -xvf -
 
     1)	Look at the makefile, and adjust it to suit your needs.
 
-       Here are some Makefile hints:
+	The top level Makefile and the custom/Makefile require a GNU
+	Make (such as gmake) or an equivalently advanced make.	On many
+	targets, the default make is sufficent.  On FreeBSD for example,
+	one must use gmake instead of make.
+
+	If your target system does not have GNU Make (or equivalent), then
+	you should try using the Makefile.simple and custom/Makefile.simple
+	files:
+
+	    mv Makefile Makefile.gmake
+	    cp Makefile.simple Makefile
+	    mv custom/Makefile custom/Makefile.gmake
+	    cp custom/Makefile.simple custom/Makefile
+
+	The Makefile, as shipped, is suitable for installation under
+	Linux and Un*x-like environments.  For the most part, the default
+	values should work.  If in doubt, follow the 'When in doubt'
+	suggestion.
+
+	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+	! If you are building under Windoz or a Windoz-like environment !
+	! (such as Cygwin or DJGPP), read the README.WINDOWS file.      !
+	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+
+	You should determine if these Makefile variables are reasonable:
+
+	    INCDIR		Where the system include (.h) files are kept.
+	    BINDIR		Where to install calc binary files.
+	    LIBDIR		Where to install calc link library (*.a) files.
+	    CALC_SHAREDIR	Where to install calc help, .cal, startup, and
+	    			config files.
+
+	You may want to change the default installation locations for
+	these values, which are based on the 4 values listed above:
+
+	    HELPDIR            where the help directory is installed
+	    CALC_INCDIR        where the calc include files are installed
+	    CUSTOMCALDIR       where custom *.cal files are installed
+	    CUSTOMHELPDIR      where custom help files are installed
+	    CUSTOMINCDIR       where custom .h files are installed
+	    SCRIPTDIR          where calc shell scripts are installed
+
+	If you want to install calc files under a top level directory,
+	then set the T value:
+
+	    The calc install is performed under ${T}, the calc build is
+	    performed under /.	The purpose for ${T} is to allow someone
+	    to install calc somewhere other than into the system area.
+
+	    For example, if:
+
+	    	BINDIR= /usr/bin
+		LIBDIR= /usr/lib
+		CALC_SHAREDIR= /usr/share/calc
+
+	    and if:
+
+	    	T= /var/tmp/testing
+
+	    Then the installation locations will be:
+
+		calc binary files:	/var/tmp/testing/usr/bin
+		calc link library:	/var/tmp/testing/usr/lib
+		calc help, .cal ...:	/var/tmp/testing/usr/share/calc
+		... etc ...		/var/tmp/testing/...
+
+	    If ${T} is empty, calc is installed under /, which is the same
+	    top of tree for which it was built.  If ${T} is non-empty, then
+	    calc is installed under ${T}, as if one had to chroot under
+	    ${T} for calc to operate.
+
+	Look for the section that starts:
+
+	    ################
+	    # compiler set #
+	    ################
 
 	    Select a compiler set by commenting in the appropriate set
 	    of cc options.  As shipped the Makefile assumes a gcc-like
@@ -10,37 +110,76 @@ Installing calc in 4 easy steps:
 	    found below, comment out the Linux set and comment in that
 	    set or edit the gcc set or the common cc set as needed.
 
+	You may want to change these Makrfile variables from their defaults:
+
+	    RANLIB
+
 		You may or may not need RANLIB when building libraries.
 		As shipped the Makefile assumes RANLIB is needed.
 		Comment the in/out the RANLIB value if ranlib does
 		not work or does not exist.
 
+	    CALCPAGER
+
 		You may want to change the default pager used by calc.
 		As shipped the Makefile assumes 'more'.  On your system
 		you may find 'less' to be a better pager.
 
-	   Set TOPDIR to be the place under which help files, calc,
-	   include files and calc libs are to be installed.  As shipped
-	   the Makefile assumes a TOPDIR of /usr/local/lib.
+	    DEBUG
 
-	   Set BINDIR to the place where calc is installed.  As shipped
-	   the Makefile assumes a BINDIR /usr/local/bin.
+	       Some compilers (to put it mildly) have bugs.  Sometimes the
+	       DEBUG Makefile variable causes the compiler / optimizer to
+	       produce bad code.  Other compilers do just fine.
+
+	       If possible try to use DEBUG=-O3 -g3 (maximum optimization
+	       and debug symbols).  If the calc test fails (see step 3),
+	       try lowering either the -O value and/or the -g3.  Also try
+	       using -Osomething without -g.
 
 	   Adjust other Makefile variables as needed.
 
     2)	build calc:
 
+	The top level Makefile and the custom/Makefile require a GNU
+	Make (such as gmake) or an equivalently advanced make.	On many
+	targets, the default make is sufficent.  On FreeBSD for example,
+	one must use gmake instead of make.
+
+	If your target system does not have GNU Make (or equivalent), then
+	you should try using the Makefile.simple and custom/Makefile.simple
+	files:
+
+	    mv Makefile Makefile.gmake
+	    cp Makefile.simple Makefile
+	    mv custom/Makefile custom/Makefile.gmake
+	    cp custom/Makefile.simple custom/Makefile
+
 	make all
 
 	==> We are interested in any compiler warnings (and errors) that
 	    you may find.  See the BUGS file if you find any compiler
 	    warning or errors.
 
+	NOTE: You can force calc to build with only static libs:
+
+		make clobber
+		make calc-static-only BLD_TYPE=calc-static-only
+
+	      or force calc to build with only dynamic libs:
+
+		make clobber
+		make calc-dynamic-only BLD_TYPE=calc-dynamic-only
+
     3)	test calc:
 
 	make check
 
-	==> If you run into problems, follow the BUGS file instructions.
+	==> If you run into problems, read the BUGS file and follow
+	    the instructions found in there.
+
+	NOTE: For a quiet check which only prints if something goes wrong:
+
+		make chk
 
     4)	install calc:
 
@@ -48,3 +187,29 @@ Installing calc in 4 easy steps:
 
 We suggest that you might want to read the README file and look at
 the calc help subsystem.  See the README file for details.
+
+## Copyright (C) 1999-2007  Landon Curt Noll
+##
+## Calc is open software; you can redistribute it and/or modify it under
+## the terms of the version 2.1 of the GNU Lesser General Public License
+## as published by the Free Software Foundation.
+##
+## Calc is distributed in the hope that it will be useful, but WITHOUT
+## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+## or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+## Public License for more details.
+##
+## A copy of version 2.1 of the GNU Lesser General Public License is
+## distributed with calc under the filename COPYING-LGPL.  You should have
+## received a copy with calc; if not, write to Free Software Foundation, Inc.
+## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+##
+## @(#) $Revision: 30.6 $
+## @(#) $Id: HOWTO.INSTALL,v 30.6 2007/10/16 12:22:22 chongo Exp $
+## @(#) $Source: /usr/local/src/bin/calc/RCS/HOWTO.INSTALL,v $
+##
+## Under source code control:	1999/09/27 20:48:44
+## File existed as early as:	1999
+##
+## chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+## Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/

LIBRARY

@@ -1,11 +1,11 @@
 	USING THE ARBITRARY PRECISION ROUTINES IN A C PROGRAM
 
-Part of the calc release consists of an arbitrary precision math library.
-This library is used by the calc program to perform its own calculations.
+Part of the calc release consists of an arbitrary precision math link library.
+This link library is used by the calc program to perform its own calculations.
 If you wish, you can ignore the calc program entirely and call the arbitrary
 precision math routines from your own C programs.
 
-The library is called libcalc.a, and provides routines to handle arbitrary
+The link library is called libcalc.a, and provides routines to handle arbitrary
 precision arithmetic with integers, rational numbers, or complex numbers.
 There are also many numeric functions such as factorial and gcd, along
 with some transcendental functions such as sin and exp.
@@ -48,79 +48,245 @@ convenient for outside use.  So you should read the source for a routine
 to see if it really does what you think it does.  I won't guarantee that
 obscure internal routines won't change or disappear in future releases!
 
-When calc is installed, all of the include files needed to build
-libcalc.a along with the library itself (and the lint library
-llib-lcalc.ln, if made) are installed into ${LIBDIR}.
+When calc is installed, all of libraries are installed into ${LIBDIR}.
+All of the calc header files are installed under ${INCDIRCALC}.
+
+If CALC_SRC is defined, then the calc header files will assume that
+they are in or under the current directory.  However, most external
+programs most likely will not be located under calc'c source tree.
+External programs most likely want to use the installed calc header
+files under ${INCDIRCALC}.  External programs most likely NOT want
+to define CALC_SRC.
+
+You need to include the following file to get the symbols and variables
+related to error handling:
+
+	lib_calc.h
 
 External programs may want to compile with:
 
-	-I${LIBDIR} -L${LIBDIR} -lcalc
+	-I${INCDIR} -L${LIBDIR} -lcalc
 
---------------
-ERROR HANDLING
---------------
+If custom functions are also used, they may want to compile with:
 
-Your program MUST provide a function called math_error.	 This is called by
-the math routines on an error condition, such as malloc failures or a
-division by zero.  The routine is called in the manner of printf, with a
-format string and optional arguments.  (However, none of the low level math
-routines currently uses formatting, so if you are lazy you can simply use
-the first argument as a simple error string.)  For example, one of the
-error calls you might expect to receive is:
+	-I${INCDIR} -L${LIBDIR} -lcalc -lcustcalc
 
-	math_error("Division by zero");
+The CALC_SRC symbol should NOT be defined by default.  However if you are
+feeling pedantic you may want to force CALC_SRC to be undefined:
 
-Your program can handle errors in basically one of two ways.  Firstly, it
-can simply print the error message and then exit.  Secondly, you can make
-use of setjmp and longjmp in your program.  Use setjmp at some appropriate
-level in your program, and use longjmp in the math_error routine to return
-to that level and so recover from the error.  This is what the calc program
-does.
+	-UCALC_SRC
 
-For convenience, the library libcalc.a contains a math_error routine.
-By default, this routine simply prints a message to stderr and then exits.
-By simply linking in this library, any calc errors will result in a
-error message on stderr followed by an exit.
+as well.
 
-External programs that wish to use this math_error may want to compile with:
+-------------------
+MATH ERROR HANDLING
+-------------------
 
-	-I${LIBDIR} -L${LIBDIR} -lcalc
+The math_error() function is called by the math routines on an error
+condition, such as malloc failures, division by zero, or some form of
+an internal computation error.  The routine is called in the manner of
+printf, with a format string and optional arguments:
 
-If one sets up calc_jmp_buf, and then sets calc_jmp to non-zero then
-this routine will longjmp back (with the value of calc_jmp) instead.
-In addition, the last calc error message will be found in calc_error;
-this error is not printed to stderr.  The calc error message will
-not have a trailing newline.
+	    void math_error(char *fmt, ...);
+
+Your program must handle math errors in one of three ways:
+
+    1) Print the error message and then exit
+
+	There is a math_error() function supplied with the calc library.
+	By default, this routine simply prints a message to stderr and
+	then exits.  By simply linking in this link library, any calc
+	errors will result in a error message on stderr followed by
+	an exit.
+
+    2) Use setjmp and longjmp in your program
+
+	Use setjmp at some appropriate level in your program, and let
+	the longjmp in math_error() return to that level and to allow you
+	to recover from the error.  This is what the calc program does.
+
+	If one sets up calc_matherr_jmpbuf, and then sets
+	calc_use_matherr_jmpbuf to non-zero then math_error() will
+	longjmp back with the return value of calc_use_matherr_jmpbuf.
+	In addition, the last calc error message will be found in
+	calc_err_msg; this error is not printed to stderr.  The calc
+	error message will not have a trailing newline.
 
 	For example:
 
 	    #include <setjmp.h>
+	    #include "lib_calc.h"
 
-    extern jmp_buf calc_jmp_buf;
-    extern int calc_jmp;
-    extern char *calc_error;
 	    int error;
 
 	    ...
 
-    if ((error = setjmp(calc_jmp_buf)) != 0) {
-
-	    /* reinitialize calc after a longjmp */
-	    reinitialize();
+	    if ((error = setjmp(calc_matherr_jmpbuf)) != 0) {
 
 		    /* report the error */
-	    printf("Ouch: %s\n", calc_error);
+		    printf("Ouch: %s\n", calc_err_msg);
+
+		    /* reinitialize calc after the longjmp */
+		    reinitialize();
 	    }
-    calc_jmp = 1;
+	    calc_use_matherr_jmpbuf = 1;
+
+	If calc_use_matherr_jmpbuf is non-zero, then the jmp_buf value
+	calc_matherr_jmpbuf must be initialized by the setjmp() function
+	or your program will crash.
+
+    3) Supply your own math_error function:
+
+	    void math_error(char *fmt, ...);
+
+	Your math_error() function may exit or transfer control to outside
+	of the calc library, but it must never return or calc will crash.
+
+External programs can obtain the appropriate calc symbols by compiling with:
+
+	-I${INCDIR} -L${LIBDIR} -lcalc
+
+-------------------------
+PARSE/SCAN ERROR HANDLING
+-------------------------
+
+The scanerror() function is called when calc encounters a parse/scan
+error.  For example, scanerror() is called when calc is given code
+with a syntax error.
+
+The variable, calc_print_scanerr_msg, controls if calc prints to stderr,
+any parse/scan errors.  By default, this variable it set to 1 and so
+parse/scan errors are printed to stderr.  By setting this value to zero,
+parse/scan errors are not printed:
+
+	#include "lib_calc.h"
+
+	/* do not print parse/scan errors to stderr */
+	calc_print_scanerr_msg = 0;
+
+The last calc math error or calc parse/scan error message is kept
+in the NUL terminated buffer:
+
+	char calc_err_msg[MAXERROR+1];
+
+The value of calc_print_scanerr_msg does not change the use
+of the calc_err_msg[] buffer.  Messages are stored in that
+buffer regardless of the calc_print_scanerr_msg value.
+
+The calc_print_scanerr_msg and the calc_err_msg[] buffer are declared
+lib_calc.h include file.  The initialized storage for these variables
+comes from the calc library.  The MAXERROR symbol is also declared in
+the lib_calc.h include file.
+
+Your program must handle parse/scan errors in one of two ways:
+
+    1) exit on error
+
+	If you do not setup the calc_scanerr_jmpbuf, then when calc
+	encounters a parse/scan error, a message will be printed to
+	stderr and calc will exit.
+
+    2) Use setjmp and longjmp in your program
+
+	Use setjmp at some appropriate level in your program, and let
+	the longjmp in scanerror() return to that level and to allow you
+	to recover from the error.  This is what the calc program does.
+
+	If one sets up calc_scanerr_jmpbuf, and then sets
+	calc_use_scanerr_jmpbuf to non-zero then scanerror() will longjmp
+	back with the return with a non-zero code.  In addition, the last
+	calc error message will be found in calc_err_msg[]; this error is
+	not printed to stderr.	The calc error message will not have a
+	trailing newline.
+
+	For example:
+
+	    #include <setjmp.h>
+	    #include "lib_calc.h"
+
+	    int scan_error;
+
+	    ...
+
+	    /* delay the printing of the parse/scan error */
+	    calc_use_scanerr_jmpbuf = 0;	/* this is optional */
+
+	    if ((scan_error = setjmp(calc_scanerr_jmpbuf)) != 0) {
+
+		    /* report the parse/scan */
+		    if (calc_use_scanerr_jmpbuf == 0) {
+			    printf("parse error: %s\n", calc_err_msg);
+	    	    }
+
+		    /* initialize calc after the longjmp */
+		    initialize();
+	    }
+	    calc_use_scanerr_jmpbuf = 1;
+
+	If calc_use_scanerr_jmpbuf is non-zero, then the jmp_buf value
+	calc_scanerr_jmpbuf must be initialized by the setjmp() function
+	or your program will crash.
+
+External programs can obtain the appropriate calc symbols by compiling with:
+
+	-I${INCDIR} -L${LIBDIR} -lcalc
+
+---------------------------
+PARSE/SCAN WARNING HANDLING
+---------------------------
+
+Calc parse/scan warning message are printed to stderr by the warning()
+function.  The routine is called in the manner of printf, with a format
+string and optional arguments:
+
+	void warning(char *fmt, ...);
+
+The variable, calc_print_scanwarn_msg, controls if calc prints to stderr,
+any parse/scan warnings.  By default, this variable it set to 1 and so
+parse/scan warnings are printed to stderr.  By setting this value to zero,
+parse/scan warnings are not printed:
+
+	#include "lib_calc.h"
+
+	/* do not print parse/scan warnings to stderr */
+	calc_print_scanwarn_msg = 0;
+
+The last calc calc parse/scan warning message is kept in the NUL
+terminated buffer:
+
+	char calc_warn_msg[MAXERROR+1];
+
+The value of calc_print_scanwarn_msg does not change the use
+of the calc_warn_msg[] buffer.  Messages are stored in that
+buffer regardless of the calc_print_scanwarn_msg value.
+
+Your program must handle parse/scan warnings in one of two ways:
+
+    1) print the warning to stderr and continue
+
+	The warning() from libcalc prints warning messages to
+	stderr and returns.  The flow of execution is not changed.
+	This is what calc does by default.
+
+    2) Supply your own warning function:
+
+	    void warning(char *fmt, ...);
+
+	Your warning function should simply return when it is finished.
+
+External programs can obtain the appropriate calc symbols by compiling with:
+
+	-I${INCDIR} -L${LIBDIR} -lcalc
+
 
 ---------------
 OUTPUT ROUTINES
 ---------------
 
-The output from the routines in the library normally goes to stdout.  You
-can divert that output to either another FILE handle, or else to a string.
-Read the routines in zio.c to see what is available.  Diversions can be
-nested.
+The output from the routines in the link library normally goes to stdout.
+You can divert that output to either another FILE handle, or else
+to a string.  Read the routines in zio.c to see what is available.
+Diversions can be nested.
 
 You use math_setfp to divert output to another FILE handle.  Calling
 math_setfp with stdout restores output to stdout.
@@ -328,13 +494,13 @@ Examples of these are qnum to return the numerator, qden to return the
 denominator, qint to return the integer part of, qfrac to return the
 fractional part of, and qinv to invert a fraction.
 
-There are some transcendental functions in the library, such as sin and cos.
-These cannot be evaluated exactly as fractions.	 Therefore, they accept
-another argument which tells how accurate you want the result.	This is an
-"epsilon" value, and the returned value will be within that quantity of
-the correct value.  This is usually an absolute difference, but for some
-functions (such as exp), this is a relative difference.	 For example, to
-calculate sin(0.5) to 100 decimal places, you could do:
+There are some transcendental functions in the link library, such as sin
+and cos.  These cannot be evaluated exactly as fractions.  Therefore,
+they accept another argument which tells how accurate you want the result.
+This is an "epsilon" value, and the returned value will be within that
+quantity of the correct value.	This is usually an absolute difference,
+but for some functions (such as exp), this is a relative difference.
+For example, to calculate sin(0.5) to 100 decimal places, you could do:
 
 	NUMBER *q, *ans, *epsilon;
 
@@ -455,3 +621,29 @@ call.  This is not required, but is does bring things to a closure.
 
 The function libcalc_call_me_last() takes no args and returns void.  You
 need call libcalc_call_me_last() only once.
+
+## Copyright (C) 1999  David I. Bell and Landon Curt Noll
+##
+## Calc is open software; you can redistribute it and/or modify it under
+## the terms of the version 2.1 of the GNU Lesser General Public License
+## as published by the Free Software Foundation.
+##
+## Calc is distributed in the hope that it will be useful, but WITHOUT
+## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+## or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+## Public License for more details.
+##
+## A copy of version 2.1 of the GNU Lesser General Public License is
+## distributed with calc under the filename COPYING-LGPL.  You should have
+## received a copy with calc; if not, write to Free Software Foundation, Inc.
+## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+##
+## @(#) $Revision: 30.1 $
+## @(#) $Id: LIBRARY,v 30.1 2007/03/16 11:09:46 chongo Exp $
+## @(#) $Source: /usr/local/src/bin/calc/RCS/LIBRARY,v $
+##
+## Under source code control:	1993/07/30 19:44:49
+## File existed as early as:	1993
+##
+## chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+## Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/

README

@@ -4,7 +4,7 @@ See the HOWTO.INSTALL file for information on how to build and install calc.
 
 To be sure that your version of calc is up to date, check out:
 
-	http://reality.sgi.com/chongo/tech/comp/calc/calc-download.html
+	http://www.isthe.com/chongo/tech/comp/calc/calc-download.html
 
 We are interested in any/all feedback on recent versions of calc.
 In particular we would like to hear about:
@@ -52,9 +52,10 @@ C programmers should note some unexpected differences in the calc syntax:
 
     > help unexpected
 
-Calc is shipped with a library of calc scripts.	 For a list see:
+Calc is shipped with a standard collection of calc resource files.
+For a list of calc standard resource files see:
 
-    > help stdlib
+    > help resource
 
 =-=
 
@@ -72,29 +73,85 @@ for a wish/todo list.  Code contributions are welcome.
 
 =-=
 
-To join the calc-tester mailing list.  Send a request to:
+To subscribe to the calc-tester mailing list, visit the following URL:
 
-    calc-tester-request at postofc dot corp dot sgi dot com
+	http://www.isthe.com/chongo/tech/comp/calc/calc-tester.html
 
-    [[ Replace 'at' with @, 'dot' is with . and remove the spaces ]]
+    This is a low volume moderated mailing list.
 
-Your message body (not the subject) should consist of:
+    This mailing list replaces calc-tester at asthe dot com list.
 
-     subscribe calc-tester address
-     end
-     name your_full_name
+    If you need a human to help you with your mailing list subscription,
+    please send EMail to our special:
 
-where ``address'' is your EMail address and ``your_full_name'' is
-your full name.
+	calc-tester-maillist-help at asthe dot com
 
-Calc bug reports, however should be sent to:
+	NOTE: Remove spaces and replace 'at' with @, 'dot' with .
 
-    calc-bugs at postofc dot corp dot sgi dot com
+    address.  To be sure we see your EMail asking for help with your
+    mailing list subscription, please use the following phase in your
+    EMail Subject line:
 
-    [[ Replace 'at' with @, 'dot' is with . and remove the spaces ]]
+	calc tester mailing list help
 
-but see the BUGS file first.
+    That phrase in your subject line will help ensure your
+    request will get past our anti-spam filters.  You may have
+    additional words in your subject line.
+
+-=-
+
+Calc bug reports and calc bug fixes should be sent to:
+
+	calc-bug-report at asthe dot com
+
+	NOTE: Remove spaces and replace 'at' with @, 'dot' with .
+
+    This replaces the old calc-bugs at asthe dot com address.
+
+    To be sure we see your EMail reporting a calc bug, please use the
+    following phase in your EMail Subject line:
+
+	calc bug report
+
+    That phrase in your subject line will help ensure your
+    request will get past our anti-spam filters.  You may have
+    additional words in your subject line.
+
+    However, you may find it more helpful to simply subscribe
+    to the calc-tester mailing list (see above) and then to
+    send your report to that mailing list as a wider set calc
+    testers may be able to help you.
+
+-=-
 
 The calc web site is located at:
 
-	http://reality.sgi.com/chongo/tech/comp/calc/
+    http://www.isthe.com/chongo/tech/comp/calc/
+
+NOTE: The EMail address uses 'asthe', while the web site uses 'isthe'.
+
+## Copyright (C) 1999,2014  Landon Curt Noll
+##
+## Calc is open software; you can redistribute it and/or modify it under
+## the terms of the version 2.1 of the GNU Lesser General Public License
+## as published by the Free Software Foundation.
+##
+## Calc is distributed in the hope that it will be useful, but WITHOUT
+## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+## or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+## Public License for more details.
+##
+## A copy of version 2.1 of the GNU Lesser General Public License is
+## distributed with calc under the filename COPYING-LGPL.  You should have
+## received a copy with calc; if not, write to Free Software Foundation, Inc.
+## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+##
+## @(#) $Revision: 30.3 $
+## @(#) $Id: README,v 30.3 2014/10/12 12:23:43 chongo Exp $
+## @(#) $Source: /usr/local/src/bin/calc/RCS/README,v $
+##
+## Under source code control:	1995/10/25 05:27:59
+## File existed as early as:	1995
+##
+## chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+## Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/

README.WINDOWS

@@ -0,0 +1,153 @@
+Dear calc user on a Windoz based system,
+
+See the HOWTO.INSTALL file for information on how to build and install calc.
+See also the README file.
+
+NOTE: The main developers do not have access to a Windoz based platform.
+      While we will make an effort to not break calc Windoz based system,
+      our lack of a Windoz test environment will mean we will make mistakes
+      from time to time.  Hopefully Windowz users can overcome these mistakes.
+      Of course you are welcome to send us any patches that fix your
+      Windoz build environment.
+
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+=-= compiling with Cygwin =-=
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+
+An effort is being made to allow windows users to compile calc using the
+Cygwin project (http://sources.redhat.com/cygwin/) with the GCC compiler
+and Un*x tools for Windows.
+
+The major porting work for Cygwin was performed by Thomas Jones-Low
+(tjoneslo at softstart dot com).
+
+In March 2009, Michael Penk (mpenk at wuska dot com) reported success in
+installs under Cygwin:
+
+    On my fairly complete Cygwin installs, everything compiles,
+    checks, and installs correctly.  My Cygwin is configured
+    in a very standard way (out of the box, using all of Cygwin's
+    defaults).  The install worked on 5 different machines with
+    Cygwin on them: one XP home, one XP professional, and three
+    Vista professionals.
+
+Using the calc Makefile, he did the following:
+
+    make all target=Cygwin
+    make check
+    make install
+
+He also reports:
+
+    Of course, one should be logged in as an Administrator when
+    one builds and installs calc.
+
+He was compiling calc 2.12.4.0 with Cygwin version 1.5.25-15.
+
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+=-= If all else fails, for Cygwin =-=
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+
+Much earlier (2001?) Thomas Jones-Low (tjoneslo at softstart dot com)
+recommended that you generate by hand all of the header files that
+by the Makefile.  This has been done for you via the makefile rule:
+
+	make win32_hsrc
+
+which uses the Makefile variables in win32.mkdef to form these header
+files under win32 directory.
+
+You will find generated versions of these files located in the win32
+sub-directory.  These files may be appropriate for your Cygwin building
+needs.
+
+In particular:
+
+	Just copy the win32/*.[ch] files up into the top level calc
+	source directory, edit them (if needed) and build using the
+	Cygwin GCC compiler and Cygwin build environment.
+
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+=-= compiling under DJGPP =-=
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+
+You might want to try using the DJGPP system to compile calc.  See:
+
+	http://www.delorie.com/djgpp/
+
+for DJGPP details and availability.
+
+To compile with DJGPP, one needs to select a number of Makefile
+variable changes.  Eli Zaretskii <eliz at is dot elta dot co dot il>
+recommends the following settings:
+
+	TERMCONTROL= -DUSE_TERMIOS
+	BYTE_ORDER= -DLITTLE_ENDIAN
+	LONG_BITS= 32
+	HAVE_FPOS_POS= -DHAVE_NO_FPOS_POS
+	FPOS_BITS= 32
+	OFF_T_BITS= 32
+	DEV_BITS= 32
+	INODE_BITS= 32
+	HAVE_USTAT= -DHAVE_NO_USTAT
+	HAVE_GETSID= -DHAVE_NO_GETSID
+	HAVE_GETPGID= -DHAVE_NO_GETPGID
+	HAVE_GETTIME= -DHAVE_NO_GETTIME
+	HAVE_GETPRID= -DHAVE_NO_GETPRID
+	HAVE_URANDOM_H= NO
+	ALIGN32= -UMUST_ALIGN32
+	HAVE_MALLOC_H= YES
+	HAVE_STDLIB_H= YES
+	HAVE_STRING_H= YES
+	HAVE_TIMES_H= NO
+	HAVE_SYS_TIMES_H= YES
+	HAVE_TIME_H= YES
+	HAVE_SYS_TIME_H= YES
+	HAVE_UNISTD_H= YES
+	BINDIR= /dev/env/DJDIR/bin
+	INCDIR= /dev/env/DJDIR/include
+	LIBDIR= /dev/env/DJDIR/lib
+	MANDIR= /dev/env/DJDIR/man/man1
+	CATDIR= /dev/env/DJDIR/man/cat1
+	NROFF= groff
+	CALCPATH= .;./cal;~/.cal;${CALC_SHAREDIR};${CUSTOMCALDIR}
+	CALCRC= ${CALC_SHAREDIR}/startup;~/.calcrc;./.calcinit
+	CALCPAGER= less.exe -ci
+	DEBUG= -O2 -gstabs+ -DWINDOZ
+
+The 'Linux set' or 'gcc set' (see the Select your compiler type section)
+should work for DJGPP systems if you set the above Makefile variables.
+
+Look for Makefile comments of the form:
+
+	# Select ...something... for DJGPP.
+
+Follow those recommendations.  In cases where they conflict with
+the above Makefile list, follow the recommendation in the Makefile.
+
+
+## Copyright (C) 2002-2009  Landon Curt Noll and Thomas Jones-Low
+##
+## Calc is open software; you can redistribute it and/or modify it under
+## the terms of the version 2.1 of the GNU Lesser General Public License
+## as published by the Free Software Foundation.
+##
+## Calc is distributed in the hope that it will be useful, but WITHOUT
+## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+## or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+## Public License for more details.
+##
+## A copy of version 2.1 of the GNU Lesser General Public License is
+## distributed with calc under the filename COPYING-LGPL.  You should have
+## received a copy with calc; if not, write to Free Software Foundation, Inc.
+## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+##
+## @(#) $Revision: 30.2 $
+## @(#) $Id: README.WINDOWS,v 30.2 2009/03/14 02:29:31 chongo Exp $
+## @(#) $Source: /usr/local/src/bin/calc/RCS/README.WINDOWS,v $
+##
+## Under source code control:	2001/02/25 14:00:05
+## File existed as early as:	2001
+##
+## chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+## Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/

addop.c

@@ -1,15 +1,39 @@
 /*
- * Copyright (c) 1997 David I. Bell
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * addop - add opcodes to a function being compiled
  *
- * Add opcodes to a function being compiled.
+ * Copyright (C) 1999-2007  David I. Bell and Ernest Bowen
+ *
+ * Primary author:  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: addop.c,v 30.1 2007/03/16 11:09:46 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/RCS/addop.c,v $
+ *
+ * Under source code control:	1990/02/15 01:48:10
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
+
 #include <stdio.h>
 #include "calc.h"
 #include "opcodes.h"
-#include "string.h"
+#include "str.h"
 #include "func.h"
 #include "token.h"
 #include "label.h"
@@ -20,17 +44,17 @@
 #define OPCODEALLOCSIZE 100	/* reallocate size for opcodes in functions */
 
 
-static long maxopcodes;		/* number of opcodes available */
-static long newindex;		/* index of new function */
-static char *newname;		/* name of new function */
-static long oldop;		/* previous opcode */
-static long oldoldop;		/* opcode before previous opcode */
-static long debugline;		/* line number of latest debug opcode */
-static long funccount;		/* number of functions */
-static long funcavail;		/* available number of functions */
-static FUNC *functemplate;	/* function definition template */
-static FUNC **functions;	/* table of functions */
-static STRINGHEAD funcnames;	/* function names */
+STATIC unsigned long maxopcodes;/* number of opcodes available */
+STATIC long newindex;		/* index of new function */
+STATIC char *newname;		/* name of new function */
+STATIC long oldop;		/* previous opcode */
+STATIC long oldoldop;		/* opcode before previous opcode */
+STATIC long debugline;		/* line number of latest debug opcode */
+STATIC long funccount;		/* number of functions */
+STATIC long funcavail;		/* available number of functions */
+STATIC FUNC *functemplate;	/* function definition template */
+STATIC FUNC **functions;	/* table of functions */
+STATIC STRINGHEAD funcnames;	/* function names */
 
 
 /*
@@ -68,7 +92,7 @@ showfunctions(void)
 
 	count = 0;
 	if (funccount > 0) {
-		if (conf->lib_debug & LIBDBG_FUNC_INFO)
+		if (conf->resource_debug & RSCDBG_FUNC_INFO)
 			math_str("Index\tName        \tArgs\tOpcodes\n"
 				 "-----\t------     \t---- \t------\n");
 		else
@@ -76,7 +100,7 @@ showfunctions(void)
 				 "----\t---------\n");
 		for (index = 0; index < funccount; index++) {
 			fp = functions[index];
-			if (conf->lib_debug & LIBDBG_FUNC_INFO) {
+			if (conf->resource_debug & RSCDBG_FUNC_INFO) {
 
 				math_fmt("%5ld\t%-12s\t", index,
 					namestr(&funcnames,index));
@@ -96,7 +120,7 @@ showfunctions(void)
 			}
 		}
 	}
-	if (conf->lib_debug & LIBDBG_FUNC_INFO) {
+	if (conf->resource_debug & RSCDBG_FUNC_INFO) {
 		math_fmt("\nNumber non-null: %ld\n", count);
 		math_fmt("Number null: %ld\n", funccount - count);
 		math_fmt("Total number: %ld\n", funccount);
@@ -160,8 +184,8 @@ void
 endfunc(void)
 {
 	register FUNC *fp;		/* function just finished */
-	unsigned long size;		/* size of just created function */
-	long index;
+	size_t size;			/* size of just created function */
+	unsigned long index;
 
 	if (oldop != OP_RETURN) {
 		addop(OP_UNDEF);
@@ -171,8 +195,8 @@ endfunc(void)
 	checklabels();
 
 	if (errorcount) {
-		printf("\"%s\": %ld error%s\n", newname, errorcount,
-			((errorcount == 1) ? "" : "s"));
+		scanerror(T_NULL,"Compilation of \"%s\" failed: %ld error(s)",
+			 newname, errorcount);
 		return;
 	}
 	size = funcsize(curfunc->f_opcodecount);
@@ -184,15 +208,15 @@ endfunc(void)
 	memcpy((char *) fp, (char *) curfunc, size);
 	if (curfunc != functemplate)
 		free(curfunc);
-	if (conf->traceflags & TRACE_FNCODES) {
+	if (newname[0] != '*' && (conf->traceflags & TRACE_FNCODES)) {
 		dumpnames = TRUE;
 		for (size = 0; size < fp->f_opcodecount; ) {
-			printf("%ld: ", (long)size);
+			printf("%ld: ", (unsigned long)size);
 			size += dumpop(&fp->f_opcodes[size]);
 		}
 	}
-	if ((inputisterminal() && conf->lib_debug & LIBDBG_STDIN_FUNC) ||
-		(!inputisterminal() && conf->lib_debug & LIBDBG_FILE_FUNC)) {
+	if ((inputisterminal() && conf->resource_debug & RSCDBG_STDIN_FUNC) ||
+	    (!inputisterminal() && conf->resource_debug & RSCDBG_FILE_FUNC)) {
 		printf("%s(", newname);
 		for (index = 0; index <	 fp->f_paramcount; index++) {
 			if (index)
@@ -256,16 +280,17 @@ rmuserfunc(char *name)
 
 	index = findstr(&funcnames, name);
 	if (index < 0) {
-		fprintf(stderr, "%s() has never been defined\n",
-			name);
+		warning("No function named \"%s\" to be undefined", name);
 		return;
 	}
-	if (functions[index] == NULL)
+	if (functions[index] == NULL) {
+		warning("No defined function \"%s\" to be undefined", name);
 		return;
+	}
 	freenumbers(functions[index]);
 	free(functions[index]);
-	if ((inputisterminal() && conf->lib_debug & LIBDBG_STDIN_FUNC) ||
-		    (!inputisterminal() && conf->lib_debug & LIBDBG_FILE_FUNC))
+	if ((inputisterminal() && conf->resource_debug & RSCDBG_STDIN_FUNC) ||
+	    (!inputisterminal() && conf->resource_debug & RSCDBG_FILE_FUNC))
 		printf("%s() undefined\n", name);
 	functions[index] = NULL;
 }
@@ -278,7 +303,7 @@ void
 freefunc(FUNC *fp)
 {
 	long index;
-	long i;
+	unsigned long i;
 
 	if (fp == NULL)
 		return;
@@ -294,7 +319,7 @@ freefunc(FUNC *fp)
 			/*NOTREACHED*/
 		}
 	}
-	if (conf->traceflags & TRACE_FNCODES) {
+	if (newname[0] != '*' && (conf->traceflags & TRACE_FNCODES)) {
 		printf("Freeing function \"%s\"\n",namestr(&funcnames,index));
 		dumpnames = FALSE;
 		for (i = 0; i < fp->f_opcodecount; ) {
@@ -359,7 +384,7 @@ clearopt(void)
 FUNC *
 findfunc(long index)
 {
-	if ((unsigned long) index >= funccount) {
+	if (index >= funccount) {
 		math_error("Undefined function");
 		/*NOTREACHED*/
 	}
@@ -502,9 +527,7 @@ addop(long op)
 			fp->f_opcodecount -= diff;
 			oldop = OP_NOP;
 			oldoldop = OP_NOP;
-				fprintf(stderr,
-					"Line %ld: unused value ignored\n",
-					linenumber());
+			warning("Constant before comma operator");
 			return;
 		}
 		break;

align32.c

@@ -1,26 +1,34 @@
 /*
  * align32 - determine if 32 bit accesses must be aligned
  *
- * This file was written by:
+ * Copyright (C) 1999  Landon Curt Noll
  *
- *	Landon Curt Noll
- *	http://reality.sgi.com/chongo/
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
  *
- *	chongo <was here> /\../\
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
  *
- * This code has been placed in the public domain.  Please do not
- * copyright this code.
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH  REGARD  TO
- * THIS	 SOFTWARE,  INCLUDING  ALL IMPLIED WARRANTIES OF MER-
- * CHANTABILITY AND FITNESS.  IN NO EVENT SHALL	 LANDON	 CURT
- * NOLL	 BE LIABLE FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL
- * DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM  LOSS  OF
- * USE,	 DATA  OR  PROFITS, WHETHER IN AN ACTION OF CONTRACT,
- * NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR  IN
- * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: align32.c,v 30.1 2007/03/16 11:09:46 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/RCS/align32.c,v $
+ *
+ * Under source code control:	1995/11/23 05:18:06
+ * File existed as early as:	1995
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
+
 #include <stdio.h>
 #include <signal.h>
 #include "longbits.h"

alloc.h

@@ -1,56 +1,74 @@
 /*
- * Copyright (c) 1997 David I. Bell
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * alloc - storage allocation and storage debug macros
+ *
+ * Copyright (C) 1999-2007,2014  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.5 $
+ * @(#) $Id: alloc.h,v 30.5 2014/08/24 21:56:51 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/RCS/alloc.h,v $
+ *
+ * Under source code control:	1990/02/15 01:48:29
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
 
-#if !defined(__ALLOC_H__)
-#define __ALLOC_H__
+#if !defined(INCLUDE_ALLOC_H)
+#define INCLUDE_ALLOC_H
 
 
-#include "have_malloc.h"
+#if defined(CALC_SRC)	/* if we are building from the calc source tree */
 # include "have_newstr.h"
 # include "have_string.h"
 # include "have_memmv.h"
-
-#ifdef HAVE_MALLOC_H
-# include <malloc.h>
 #else
-#if defined(FORCE_STDC) || (defined(__STDC__) && __STDC__ != 0) || defined(__cplusplus)
-   extern void *malloc();
-   extern void *realloc();
-   extern void free();
-# else
-   extern char *malloc();
-   extern char *realloc();
-   extern void free();
-# endif
+# include <calc/have_newstr.h>
+# include <calc/have_string.h>
+# include <calc/have_memmv.h>
 #endif
 
 #ifdef HAVE_STRING_H
 # include <string.h>
 
 #else
+#if defined(_WIN32) && defined(NOTCYGWIN)
+#include <stdio.h>
+#endif
 
 # if defined(HAVE_NEWSTR)
-extern void *memcpy();
-extern void *memset();
-#if defined(FORCE_STDC) || (defined(__STDC__) && __STDC__ != 0) || defined(__cplusplus)
-extern size_t strlen();
+E_FUNC void *memcpy();
+E_FUNC void *memset();
+#if defined(FORCE_STDC) || \
+   (defined(__STDC__) && __STDC__ != 0) || defined(__cplusplus)
+E_FUNC size_t strlen();
 #  else
-extern long strlen();
+E_FUNC long strlen();
 #  endif
 # else /* HAVE_NEWSTR */
-extern void bcopy();
-extern void bfill();
-extern char *index();
+E_FUNC void bcopy();
+E_FUNC void bfill();
+E_FUNC char *index();
 # endif /* HAVE_NEWSTR */
-extern char *strchr();
-extern char *strcpy();
-extern char *strncpy();
-extern char *strcat();
-extern int strcmp();
+E_FUNC char *strchr();
+E_FUNC char *strcpy();
+E_FUNC char *strncpy();
+E_FUNC char *strcat();
+E_FUNC int strcmp();
 
 #endif
 
@@ -64,13 +82,14 @@ extern int strcmp();
 #endif /* HAVE_NEWSTR */
 
 #if !defined(HAVE_MEMMOVE)
-# undef CALC_SIZE_T
-#if defined(FORCE_STDC) || (defined(__STDC__) && __STDC__ != 0) || defined(__cplusplus)
-#  define CALC_SIZE_T size_t
+# undef MEMMOVE_SIZE_T
+#if defined(FORCE_STDC) || \
+   (defined(__STDC__) && __STDC__ != 0) || defined(__cplusplus)
+#  define MEMMOVE_SIZE_T size_t
 # else
-#  define CALC_SIZE_T long
+#  define MEMMOVE_SIZE_T long
 # endif
-extern void *memmove(void *s1, const void *s2, CALC_SIZE_T n);
+E_FUNC void *memmove(void *s1, CONST void *s2, MEMMOVE_SIZE_T n);
 #endif
 
-#endif /* !__ALLOC_H__ */
+#endif /* !INCLUDE_ALLOC_H */

assocfunc.c

@@ -1,8 +1,33 @@
 /*
- * Copyright (c) 1995 David I. Bell
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * assocfunc - association table routines
  *
+ * Copyright (C) 1999-2007  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.3 $
+ * @(#) $Id: assocfunc.c,v 30.3 2014/09/30 00:55:11 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/RCS/assocfunc.c,v $
+ *
+ * Under source code control:	1993/07/20 23:04:27
+ * File existed as early as:	1993
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
  * Association table routines.
  * An association table is a type of value which can be "indexed" by
  * one or more arbitrary values.  Each element in the table is thus an
@@ -11,6 +36,7 @@
  * quick access.
  */
 
+
 #include "value.h"
 
 
@@ -20,10 +46,10 @@
 #define ELEMSIZE(n)	(sizeof(ASSOCELEM) + (sizeof(VALUE) * ((n) - 1)))
 
 
-static ASSOCELEM *elemindex(ASSOC *ap, long index);
-static BOOL compareindices(VALUE *v1, VALUE *v2, long dim);
-static void resize(ASSOC *ap, long newsize);
-static void assoc_elemfree(ASSOCELEM *ep);
+S_FUNC ASSOCELEM *elemindex(ASSOC *ap, long index);
+S_FUNC BOOL compareindices(VALUE *v1, VALUE *v2, long dim);
+S_FUNC void resize(ASSOC *ap, long newsize);
+S_FUNC void assoc_elemfree(ASSOCELEM *ep);
 
 
 /*
@@ -43,7 +69,7 @@ associndex(ASSOC *ap, BOOL create, long dim, VALUE *indices)
 {
 	ASSOCELEM **listhead;
 	ASSOCELEM *ep;
-	static VALUE val;
+	STATIC VALUE val;
 	QCKHASH hash;
 	int i;
 
@@ -57,7 +83,7 @@ associndex(ASSOC *ap, BOOL create, long dim, VALUE *indices)
 	 * so that we can first select the correct hash chain, and
 	 * also so we can quickly compare each element for a match.
 	 */
-	hash = FNV1_32_BASIS;
+	hash = QUICKHASH_BASIS;
 	for (i = 0; i < dim; i++)
 		hash = hashvalue(&indices[i], hash);
 
@@ -174,7 +200,7 @@ assocrsearch(ASSOC *ap, VALUE *vp, long i, long j, ZVALUE *index)
  *	ap		association to index into
  *	index		index of desired element
  */
-static ASSOCELEM *
+S_FUNC ASSOCELEM *
 elemindex(ASSOC *ap, long index)
 {
 	ASSOCELEM *ep;
@@ -306,7 +332,8 @@ assoccopy(ASSOC *oldap)
 			oldep = oldep->e_next) {
 			ep = (ASSOCELEM *) malloc(ELEMSIZE(oldep->e_dim));
 			if (ep == NULL) {
-				math_error("Cannot allocate association element");
+				math_error("Cannot allocate "
+					   "association element");
 				/*NOTREACHED*/
 			}
 			ep->e_dim = oldep->e_dim;
@@ -314,7 +341,8 @@ assoccopy(ASSOC *oldap)
 			ep->e_value.v_type = V_NULL;
 			ep->e_value.v_subtype = V_NOSUBTYPE;
 			for (i = 0; i < ep->e_dim; i++)
-				copyvalue(&oldep->e_indices[i], &ep->e_indices[i]);
+				copyvalue(&oldep->e_indices[i],
+					  &ep->e_indices[i]);
 			copyvalue(&oldep->e_value, &ep->e_value);
 			listhead = &ap->a_table[ep->e_hash % ap->a_size];
 			ep->e_next = *listhead;
@@ -330,7 +358,7 @@ assoccopy(ASSOC *oldap)
  * This is only actually done if the growth from the previous size is
  * enough to make this worthwhile.
  */
-static void
+S_FUNC void
 resize(ASSOC *ap, long newsize)
 {
 	ASSOCELEM **oldtable;
@@ -374,7 +402,7 @@ resize(ASSOC *ap, long newsize)
 /*
  * Free an association element, along with any contained values.
  */
-static void
+S_FUNC void
 assoc_elemfree(ASSOCELEM *ep)
 {
 	int i;
@@ -494,7 +522,7 @@ assocprint(ASSOC *ap, long max_print)
  * Compare two lists of index values to see if they are identical.
  * Returns TRUE if they are the same.
  */
-static BOOL
+S_FUNC BOOL
 compareindices(VALUE *v1, VALUE *v2, long dim)
 {
 	int i;

blkcpy.c

@@ -1,19 +1,42 @@
 /*
- * Copyright (c) 1997 Ernest Bowen and Landon Curt Noll
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * blkcpy - general values and related routines used by the calculator
  *
- * By: Ernest Bowen and Landon Curt Noll
- *     ernie@neumann.une.edu.au and http://reality.sgi.com/chongo/
+ * Copyright (C) 1999-2007  Landon Curt Noll and Ernest Bowen
+ *
+ * Primary author:  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: blkcpy.c,v 30.2 2013/08/11 08:41:38 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/RCS/blkcpy.c,v $
+ *
+ * Under source code control:	1997/04/18 20:41:26
+ * File existed as early as:	1997
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
+
 #include <stdio.h>
 #include <sys/types.h>
 #include "calc.h"
 #include "value.h"
 #include "file.h"
 #include "blkcpy.h"
-#include "string.h"
+#include "str.h"
 
 
 /*
@@ -257,20 +280,20 @@ copymat2mat(MATRIX *smat, long ssi, long num, MATRIX *dmat, long dsi)
 	VALUE *vp;
 	VALUE *vq;
 	VALUE *vtemp;
-	short subtype;
+	unsigned short subtype;
 
 	if (ssi > smat->m_size)
 		return E_COPY2;
 
 	if (num < 0)
 		num = smat->m_size - ssi;
-	if ((USB32) ssi + num > smat->m_size)
+	if (ssi + num > smat->m_size)
 		return E_COPY5;
 	if (num == 0)
 		return 0;
 	if (dsi < 0)
 		dsi = 0;
-	if ((USB32) dsi + num > dmat->m_size)
+	if (dsi + num > dmat->m_size)
 		return E_COPY7;
 	vtemp = (VALUE *) malloc(num * sizeof(VALUE));
 	if (vtemp == NULL) {
@@ -288,7 +311,7 @@ copymat2mat(MATRIX *smat, long ssi, long num, MATRIX *dmat, long dsi)
 		subtype = vq->v_subtype;
 		freevalue(vq);
 		*vq = *vp;
-		vq->v_subtype = subtype;
+		vq->v_subtype |= subtype;
 	}
 	free(vtemp);
 	return 0;
@@ -306,19 +329,19 @@ copyblk2mat(BLOCK *blk, long ssi, long num, MATRIX *dmat, long dsi)
 	VALUE *vq;
 	VALUE *vtemp;
 	long i;
-	short subtype;
+	unsigned short subtype;
 
 	if (ssi > blk->datalen)
 		return E_COPY2;
 	if (num < 0)
 		num = blk->datalen - ssi;
-	if ((USB32) ssi + num > blk->datalen)
+	if (ssi + num > blk->datalen)
 		return E_COPY5;
 	if (num == 0)
 		return 0;
 	if (dsi < 0)
 		dsi = 0;
-	if ((USB32) dsi + num > dmat->m_size)
+	if (dsi + num > dmat->m_size)
 		return E_COPY7;
 	op = blk->data + ssi;
 	vtemp = (VALUE *) malloc(num * sizeof(VALUE));
@@ -340,7 +363,7 @@ copyblk2mat(BLOCK *blk, long ssi, long num, MATRIX *dmat, long dsi)
 		subtype = vq->v_subtype;
 		freevalue(vq);
 		*vq = *vp;
-		vq->v_subtype = subtype;
+		vq->v_subtype |= subtype;
 	}
 	free(vtemp);
 	return 0;
@@ -351,7 +374,8 @@ copyblk2mat(BLOCK *blk, long ssi, long num, MATRIX *dmat, long dsi)
  * copymat2blk - copy matrix to block
  */
 int
-copymat2blk(MATRIX *smat, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc)
+copymat2blk(MATRIX *smat, long ssi, long num, BLOCK *dblk, long dsi,
+	    BOOL noreloc)
 {
 	long i;
 	long newlen;
@@ -366,7 +390,7 @@ copymat2blk(MATRIX *smat, long ssi, long num, BLOCK *dblk, long dsi, BOOL norelo
 		num = smat->m_size - ssi;
 	if (num == 0)
 		return 0;
-	if ((USB32) ssi + num > smat->m_size)
+	if (ssi + num > smat->m_size)
 		return E_COPY5;
 	if (dsi < 0)
 		dsi = dblk->datalen;
@@ -406,6 +430,7 @@ copymat2list(MATRIX *smat, long ssi, long num, LIST *lp, long dsi)
 	LISTELEM *ep;
 	VALUE *vtemp;
 	long i;
+	unsigned short subtype;
 
 	if (ssi > smat->m_size)
 		return E_COPY2;
@@ -413,11 +438,11 @@ copymat2list(MATRIX *smat, long ssi, long num, LIST *lp, long dsi)
 		num = smat->m_size - ssi;
 	if (num == 0)
 		return 0;
-	if ((USB32) ssi + num > smat->m_size)
+	if (ssi + num > smat->m_size)
 		return E_COPY5;
 	if (dsi < 0)
 		dsi = 0;
-	if ((USB32) dsi + num > lp->l_count)
+	if (dsi + num > lp->l_count)
 		return E_COPY7;
 	vtemp = (VALUE *) malloc(num * sizeof(VALUE));
 	if (vtemp == NULL) {
@@ -433,8 +458,10 @@ copymat2list(MATRIX *smat, long ssi, long num, LIST *lp, long dsi)
 	ep = listelement(lp, (long) dsi);
 	i = num;
 	while (i-- > 0) {
+		subtype = ep->e_value.v_subtype;
 		freevalue(&ep->e_value);
 		ep->e_value = *vq++;
+		ep->e_value.v_subtype |= subtype;
 		ep = ep->e_next;
 	}
 	free(vtemp);
@@ -453,7 +480,7 @@ copylist2mat(LIST *lp, long ssi, long num, MATRIX *dmat, long dsi)
 	LISTELEM *ep;
 	VALUE *vtemp;
 	long i;
-	short subtype;
+	unsigned short subtype;
 
 	if (ssi > lp->l_count)
 		return E_COPY2;
@@ -461,11 +488,11 @@ copylist2mat(LIST *lp, long ssi, long num, MATRIX *dmat, long dsi)
 		num = lp->l_count - ssi;
 	if (num == 0)
 		return 0;
-	if ((USB32) ssi + num > lp->l_count)
+	if (ssi + num > lp->l_count)
 		return E_COPY5;
 	if (dsi < 0)
 		dsi = 0;
-	if ((USB32) dsi + num > dmat->m_size)
+	if (dsi + num > dmat->m_size)
 		return E_COPY7;
 	vtemp = (VALUE *) malloc(num * sizeof(VALUE));
 	if (vtemp == NULL) {
@@ -485,7 +512,7 @@ copylist2mat(LIST *lp, long ssi, long num, MATRIX *dmat, long dsi)
 		subtype = vq->v_subtype;
 		freevalue(vq);
 		*vq = *vp;
-		vq->v_subtype = subtype;
+		vq->v_subtype |= subtype;
 	}
 	free(vtemp);
 	return 0;
@@ -503,6 +530,7 @@ copylist2list(LIST *slp, long ssi, long num, LIST *dlp, long dsi)
 	LISTELEM *dep;
 	VALUE *vtemp;
 	VALUE *vp;
+	unsigned short subtype;
 
 	if (ssi > slp->l_count)
 		return E_COPY2;
@@ -510,11 +538,11 @@ copylist2list(LIST *slp, long ssi, long num, LIST *dlp, long dsi)
 		num = slp->l_count - ssi;
 	if (num == 0)
 		return 0;
-	if ((USB32) ssi + num > slp->l_count)
+	if (ssi + num > slp->l_count)
 		return E_COPY5;
 	if (dsi < 0)
 		dsi = 0;
-	if ((USB32) dsi + num > dlp->l_count)
+	if (dsi + num > dlp->l_count)
 		return E_COPY7;
 	vtemp = (VALUE *) malloc(num * sizeof(VALUE));
 	if (vtemp == NULL) {
@@ -532,8 +560,10 @@ copylist2list(LIST *slp, long ssi, long num, LIST *dlp, long dsi)
 	vp = vtemp;
 	i = num;
 	while (i-- > 0) {
+		subtype = dep->e_value.v_subtype;
 		freevalue(&dep->e_value);
 		dep->e_value = *vp++;
+		dep->e_value.v_subtype |= subtype;
 		dep = dep->e_next;
 	}
 	free(vtemp);
@@ -549,7 +579,7 @@ copyblk2file(BLOCK *sblk, long ssi, long num, FILEID id, long dsi)
 {
 	FILEIO	*fiop;
 	FILE	*fp;
-	unsigned int	numw;
+	long	numw;
 
 	if (ssi > sblk->datalen)
 		return E_COPY2;
@@ -558,7 +588,7 @@ copyblk2file(BLOCK *sblk, long ssi, long num, FILEID id, long dsi)
 	if (num == 0)
 		return 0;
 
-	fiop = findid(id, 'w');
+	fiop = findid(id, TRUE);
 	if (fiop == NULL)
 		return E_COPYF1;
 	fp = fiop->fp;
@@ -586,7 +616,7 @@ copyfile2blk(FILEID id, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc)
 {
 	FILEIO	*fiop;
 	FILE	*fp;
-	unsigned int	numw;
+	long	numw;
 	ZVALUE	fsize;
 	long	filelen;
 	long	newlen;
@@ -595,7 +625,7 @@ copyfile2blk(FILEID id, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc)
 
 	if (id < 3)			/* excludes copying from stdin */
 		return E_COPYF1;
-	fiop = findid(id, 'r');
+	fiop = findid(id, FALSE);
 	if (fiop == NULL)
 		return E_COPYF1;
 
@@ -616,7 +646,7 @@ copyfile2blk(FILEID id, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc)
 		num = filelen - ssi;
 	if (num == 0)
 		return 0;
-	if ((USB32) ssi + num > filelen)
+	if (ssi + num > filelen)
 		return E_COPY5;
 	if (fseek(fp, ssi, 0))		/* using system fseek  XXX */
 		return E_COPYF2;
@@ -654,7 +684,7 @@ copystr2file(STRING *str, long ssi, long num, FILEID id, long dsi)
 {
 	long len;
 	FILEIO *fiop;
-	unsigned int numw;
+	long numw;
 	FILE *fp;
 
 	len = str->s_len;
@@ -665,9 +695,9 @@ copystr2file(STRING *str, long ssi, long num, FILEID id, long dsi)
 		num = len - ssi;
 	if (num <= 0)			/* Nothing to be copied */
 		return 0;
-	if ((USB32) ssi + num > len)
+	if (ssi + num > len)
 		return E_COPY5;		/* Insufficient memory in str */
-	fiop = findid(id, 'w');
+	fiop = findid(id, TRUE);
 	if (fiop == NULL)
 		return E_COPYF1;
 	fp = fiop->fp;
@@ -691,7 +721,8 @@ copystr2file(STRING *str, long ssi, long num, FILEID id, long dsi)
  * copyblk2blk - copy block to block
  */
 int
-copyblk2blk(BLOCK *sblk, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc)
+copyblk2blk(BLOCK *sblk, long ssi, long num, BLOCK *dblk, long dsi,
+	    BOOL noreloc)
 {
 	long	newlen;
 	long	newsize;
@@ -703,7 +734,7 @@ copyblk2blk(BLOCK *sblk, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc
 		num = sblk->datalen - ssi;
 	if (num == 0)			/* Nothing to be copied */
 		return 0;
-	if ((unsigned int) ssi + num > sblk->datalen)
+	if (ssi + num > sblk->datalen)
 		return E_COPY5;
 	if (dsi < 0)
 		dsi = dblk->datalen;
@@ -733,7 +764,8 @@ copyblk2blk(BLOCK *sblk, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc
  * copystr2blk - copy string to block
  */
 int
-copystr2blk(STRING *str, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc)
+copystr2blk(STRING *str, long ssi, long num, BLOCK *dblk, long dsi,
+	    BOOL noreloc)
 {
 	long	len;
 	long	newlen;
@@ -783,13 +815,13 @@ copystr2str(STRING *sstr, long ssi, long num, STRING *dstr, long dsi)
 {
 	char *c, *c1;
 
-	if (num < 0 || ssi + num > sstr->s_len)
+	if (num < 0 || (size_t)(ssi + num) > sstr->s_len)
 		num = sstr->s_len - ssi;
 	if (num <= 0)
 		return 0;		/* Nothing to be copied */
 	if (dsi < 0)			/* default destination index */
 		dsi = 0;
-	if (dsi + num > dstr->s_len)
+	if ((size_t)(dsi + num) > dstr->s_len)
 		num = dstr->s_len - dsi;
 	c1 = sstr->s_str + ssi;
 	c = dstr->s_str + dsi;
@@ -815,7 +847,7 @@ copyblk2str(BLOCK *sblk, long ssi, long num, STRING *dstr, long dsi)
 		return 0;		/* Nothing to be copied */
 	if (dsi < 0)			/* default destination index */
 		dsi = 0;
-	if (dsi + num > dstr->s_len)
+	if ((size_t)(dsi + num) > dstr->s_len)
 		num = dstr->s_len - dsi;
 	c1 = sblk->data + ssi;
 	c = (USB8 *)dstr->s_str + dsi;
@@ -829,18 +861,18 @@ copyblk2str(BLOCK *sblk, long ssi, long num, STRING *dstr, long dsi)
 int
 copyostr2str(char *sstr, long ssi, long num, STRING *dstr, long dsi)
 {
-	long len;
+	size_t len;
 	char	*c, *c1;
 
-	len = (long)strlen(sstr);
+	len = strlen(sstr);
 
-	if (num < 0 || ssi + num > len)
+	if (num < 0 || (size_t)(ssi + num) > len)
 		num = len - ssi;
 	if (num <= 0)			/* Nothing to be copied */
 		return 0;
 	if (dsi < 0)
 		dsi = 0;		/* Default destination index */
-	if (dsi + num > dstr->s_len)
+	if ((size_t)(dsi + num) > dstr->s_len)
 		num = dstr->s_len - dsi;
 	c1 = sstr + ssi;
 	c = dstr->s_str + dsi;
@@ -856,16 +888,16 @@ copyostr2str(char *sstr, long ssi, long num, STRING *dstr, long dsi)
 int
 copyostr2blk(char *str,long ssi,long num,BLOCK *dblk,long dsi,BOOL noreloc)
 {
-	int	len;
-	int	newlen;
-	int	newsize;
+	size_t	len;
+	size_t	newlen;
+	size_t	newsize;
 	USB8	*newdata;
 
 	len = strlen(str) + 1;
 
-	if (ssi > len)
+	if (ssi > 0 && (size_t)ssi > len)
 		return E_COPY2;
-	if (num < 0 || (unsigned long) ssi + num > len)
+	if (num < 0 || (size_t)(ssi + num) > len)
 		num = len - ssi;
 	if (num <= 0)			/* Nothing to be copied */
 		return 0;
@@ -874,7 +906,7 @@ copyostr2blk(char *str,long ssi,long num,BLOCK *dblk,long dsi,BOOL noreloc)
 	newlen = dsi + num;
 	if (newlen <= 0)
 		return E_COPY7;
-	if (newlen >= dblk->maxsize) {
+	if (newlen >= (size_t)dblk->maxsize) {
 		if (noreloc)
 			return E_COPY17;
 		newsize = (1 + newlen/dblk->blkchunk) * dblk->blkchunk;
@@ -887,7 +919,7 @@ copyostr2blk(char *str,long ssi,long num,BLOCK *dblk,long dsi,BOOL noreloc)
 		dblk->maxsize = newsize;
 	}
 	memmove(dblk->data + dsi, str + ssi, num);
-	if (newlen > dblk->datalen)
+	if (newlen > (size_t)dblk->datalen)
 		dblk->datalen = newlen;
 	return 0;
 }
@@ -906,7 +938,7 @@ copyostr2blk(char *str,long ssi,long num,BLOCK *dblk,long dsi,BOOL noreloc)
  *	s1
  */
 void *
-memmove(void *s1, const void *s2, CALC_SIZE_T n)
+memmove(void *s1, CONST void *s2, MEMMOVE_SIZE_T n)
 {
 	/*
 	 * firewall
@@ -953,10 +985,11 @@ memmove(void *s1, const void *s2, CALC_SIZE_T n)
  * copynum2blk - copy number numerator to block
  */
 int
-copynum2blk(NUMBER *snum, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc)
+copynum2blk(NUMBER *snum, long ssi, long num, BLOCK *dblk, long dsi,
+	    BOOL noreloc)
 {
-	long	newlen;
-	long	newsize;
+	size_t	newlen;
+	size_t	newsize;
 	USB8	*newdata;
 #if CALC_BYTE_ORDER == BIG_ENDIAN
 	ZVALUE	*swnum; /* byte swapped numerator */
@@ -968,14 +1001,14 @@ copynum2blk(NUMBER *snum, long ssi, long num, BLOCK *dblk, long dsi, BOOL norelo
 		num = snum->num.len - ssi;
 	if (num == 0)			/* Nothing to be copied */
 		return 0;
-	if ((unsigned long) ssi + num > snum->num.len)
+	if (ssi + num > snum->num.len)
 		return E_COPY5;
 	if (dsi < 0)
 		dsi = dblk->datalen;
-	newlen = dsi + (long)(num*sizeof(HALF));
+	newlen = dsi + (num*sizeof(HALF));
 	if (newlen <= 0)
 		return E_COPY7;
-	if (newlen >= dblk->maxsize) {
+	if (newlen >= (size_t)dblk->maxsize) {
 		if (noreloc)
 			return E_COPY17;
 		newsize = (1 + newlen/dblk->blkchunk) * dblk->blkchunk;
@@ -994,7 +1027,7 @@ copynum2blk(NUMBER *snum, long ssi, long num, BLOCK *dblk, long dsi, BOOL norelo
 	memmove(dblk->data+dsi, (char *)(swnum->v+ssi), num*sizeof(HALF));
 	zfree(*swnum);
 #endif
-	if (newlen > dblk->datalen)
+	if (newlen > (size_t)dblk->datalen)
 		dblk->datalen = newlen;
 	return 0;
 }
@@ -1004,9 +1037,10 @@ copynum2blk(NUMBER *snum, long ssi, long num, BLOCK *dblk, long dsi, BOOL norelo
  * copyblk2num - copy block to number
  */
 int
-copyblk2num(BLOCK *sblk, long ssi, long num, NUMBER *dnum, long dsi, NUMBER **res)
+copyblk2num(BLOCK *sblk, long ssi, long num, NUMBER *dnum, long dsi,
+	    NUMBER **res)
 {
-	long	newlen;
+	size_t	newlen;
 	NUMBER *ret;		/* cloned and modified numerator */
 #if CALC_BYTE_ORDER == BIG_ENDIAN
 	HALF *swapped;		/* byte swapped input data */
@@ -1021,11 +1055,11 @@ copyblk2num(BLOCK *sblk, long ssi, long num, NUMBER *dnum, long dsi, NUMBER **re
 		num = sblk->datalen - ssi;
 	if (num == 0)			/* Nothing to be copied */
 		return 0;
-	if ((unsigned long) ssi + num > sblk->datalen)
+	if (ssi + num > sblk->datalen)
 		return E_COPY5;
 	if (dsi < 0)
 		dsi = dnum->num.len;
-	newlen = dsi + (long)((num+sizeof(HALF)-1)/sizeof(HALF));
+	newlen = dsi + ((num+sizeof(HALF)-1)/sizeof(HALF));
 	if (newlen <= 0)
 		return E_COPY7;
 

blkcpy.h

@@ -1,39 +1,62 @@
 /*
- * Copyright (c) 1997 David I. Bell
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * blkcpy - general values and related routines used by the calculator
  *
- * Definitions of general values and related routines used by the calculator.
+ * Copyright (C) 1999-2007,2014  Landon Curt Noll and Ernest Bowen
+ *
+ * Primary author:  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.3 $
+ * @(#) $Id: blkcpy.h,v 30.3 2014/08/24 21:56:51 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/RCS/blkcpy.h,v $
+ *
+ * Under source code control:	1997/04/18 20:41:25
+ * File existed as early as:	1997
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
 
-#if !defined(__BLKCPY_H__)
-#define __BLKCPY_H__
+#if !defined(INCLUDE_BLKCPY_H)
+#define INCLUDE_BLKCPY_H
 
 /*
  * the main copy gateway function
  */
-extern int copystod(VALUE *, long, long, VALUE *, long);
+E_FUNC int copystod(VALUE *, long, long, VALUE *, long);
 
 /*
  * specific copy functions
  */
-extern int copyblk2blk(BLOCK *, long, long, BLOCK *, long, BOOL);
-extern int copyblk2file(BLOCK *, long, long, FILEID, long);
-extern int copyblk2mat(BLOCK *, long, long, MATRIX *, long);
-extern int copyblk2num(BLOCK *, long, long, NUMBER *, long, NUMBER **);
-extern int copyblk2str(BLOCK *, long, long, STRING *, long);
-extern int copyfile2blk(FILEID, long, long, BLOCK *, long, BOOL);
-extern int copylist2list(LIST *, long, long, LIST *, long);
-extern int copylist2mat(LIST *, long, long, MATRIX *, long);
-extern int copymat2blk(MATRIX *, long, long, BLOCK *, long, BOOL);
-extern int copymat2list(MATRIX *, long, long, LIST *, long);
-extern int copymat2mat(MATRIX *, long, long, MATRIX *, long);
-extern int copynum2blk(NUMBER *, long, long, BLOCK *, long, BOOL);
-extern int copyostr2blk(char *, long, long, BLOCK *, long, BOOL);
-extern int copyostr2str(char *, long, long, STRING *, long);
-extern int copystr2blk(STRING *, long, long, BLOCK *, long, BOOL);
-extern int copystr2file(STRING *, long, long, FILEID, long);
-extern int copystr2str(STRING *, long, long, STRING *, long);
+E_FUNC int copyblk2blk(BLOCK *, long, long, BLOCK *, long, BOOL);
+E_FUNC int copyblk2file(BLOCK *, long, long, FILEID, long);
+E_FUNC int copyblk2mat(BLOCK *, long, long, MATRIX *, long);
+E_FUNC int copyblk2num(BLOCK *, long, long, NUMBER *, long, NUMBER **);
+E_FUNC int copyblk2str(BLOCK *, long, long, STRING *, long);
+E_FUNC int copyfile2blk(FILEID, long, long, BLOCK *, long, BOOL);
+E_FUNC int copylist2list(LIST *, long, long, LIST *, long);
+E_FUNC int copylist2mat(LIST *, long, long, MATRIX *, long);
+E_FUNC int copymat2blk(MATRIX *, long, long, BLOCK *, long, BOOL);
+E_FUNC int copymat2list(MATRIX *, long, long, LIST *, long);
+E_FUNC int copymat2mat(MATRIX *, long, long, MATRIX *, long);
+E_FUNC int copynum2blk(NUMBER *, long, long, BLOCK *, long, BOOL);
+E_FUNC int copyostr2blk(char *, long, long, BLOCK *, long, BOOL);
+E_FUNC int copyostr2str(char *, long, long, STRING *, long);
+E_FUNC int copystr2blk(STRING *, long, long, BLOCK *, long, BOOL);
+E_FUNC int copystr2file(STRING *, long, long, FILEID, long);
+E_FUNC int copystr2str(STRING *, long, long, STRING *, long);
 
-#endif /* !__BLKCPY_H__ */
+#endif /* !INCLUDE_BLKCPY_H */

block.c

@@ -1,36 +1,33 @@
 /*
  * block - fixed, dynamic, fifo and circular memory blocks
- */
-/*
- * Copyright (c) 1997 by Landon Curt Noll.  All Rights Reserved.
  *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice and text
- * this comment, and the disclaimer below appear in all of the following:
+ * Copyright (C) 1999-2007  Landon Curt Noll and Ernest Bowen
  *
- *	supporting documentation
- *	source copies
- *	source works derived from this source
- *	binaries derived from this source or from derived source
+ * Primary author:  Landon Curt Noll
  *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
  *
- * Comments, suggestions, bug fixes and questions about these routines
- * are welcome.	 Send EMail to the address given below.
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
  *
- * Happy bit twiddling,
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
- *	Landon Curt Noll
- *	http://reality.sgi.com/chongo/
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: block.c,v 30.1 2007/03/16 11:09:46 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/RCS/block.c,v $
  *
- * chongo <was here> /\../\
+ * Under source code control:	1997/02/27 00:29:40
+ * File existed as early as:	1997
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
 
@@ -40,19 +37,19 @@
 #include "config.h"
 #include "block.h"
 #include "nametype.h"
-#include "string.h"
+#include "str.h"
 #include "calcerr.h"
 
 #define NBLOCKCHUNK 16
 
-static long nblockcount = 0;
-static long maxnblockcount = 0;
-static STRINGHEAD nblocknames;
-static NBLOCK **nblocks;
+STATIC long nblockcount = 0;
+STATIC long maxnblockcount = 0;
+STATIC STRINGHEAD nblocknames;
+STATIC NBLOCK **nblocks;
 
 
 /* forward declarations */
-static void blkchk(BLOCK*);
+S_FUNC void blkchk(BLOCK*);
 
 
 /*
@@ -60,7 +57,7 @@ static void blkchk(BLOCK*);
  *
  * given:
  *	len	- initial memory length of the block
- *	type	- BLK_TYPE_XXX
+ *	type	- BLK_TYPE_XYZ
  *	chunk	- allocation chunk size
  *
  * returns:
@@ -157,7 +154,7 @@ blk_free(BLOCK *blk)
  *	if all is ok, otherwise math_error() is called and this
  *	function does not return
  */
-static void
+S_FUNC void
 blkchk(BLOCK *blk)
 {
 

block.h

@@ -1,41 +1,38 @@
 /*
  * block - fixed, dynamic, fifo and circular memory blocks
- */
-/*
- * Copyright (c) 1997 by Landon Curt Noll.  All Rights Reserved.
  *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice and text
- * this comment, and the disclaimer below appear in all of the following:
+ * Copyright (C) 1999-2007,2014  Landon Curt Noll and Ernest Bowen
  *
- *	supporting documentation
- *	source copies
- *	source works derived from this source
- *	binaries derived from this source or from derived source
+ * Primary author:  Landon Curt Noll
  *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
  *
- * Comments, suggestions, bug fixes and questions about these routines
- * are welcome.	 Send EMail to the address given below.
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
  *
- * Happy bit twiddling,
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
- *	Landon Curt Noll
- *	http://reality.sgi.com/chongo/
+ * @(#) $Revision: 30.3 $
+ * @(#) $Id: block.h,v 30.3 2014/08/24 21:56:51 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/RCS/block.h,v $
  *
- * chongo <was here> /\../\
+ * Under source code control:	1997/02/21 05:03:39
+ * File existed as early as:	1997
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
 
-#if !defined(__BLOCK_H__)
-#define __BLOCK_H__
+#if !defined(INCLUDE_BLOCK_H)
+#define INCLUDE_BLOCK_H
 
 
 /*
@@ -163,7 +160,7 @@ typedef struct nblock NBLOCK;
 /*
  * block debug
  */
-extern int blk_debug;	/* 0 => debug off */
+EXTERN int blk_debug;	/* 0 => debug off */
 
 
 /*
@@ -207,22 +204,22 @@ typedef USB8 OCTET;
 /*
  * external functions
  */
-extern BLOCK *blkalloc(int, int);
-extern void blk_free(BLOCK*);
-extern BLOCK *blkrealloc(BLOCK*, int, int);
-extern void blktrunc(BLOCK*);
-extern BLOCK *blk_copy(BLOCK*);
-extern int blk_cmp(BLOCK*, BLOCK*);
-extern void blk_print(BLOCK*);
-extern void nblock_print(NBLOCK *);
-extern NBLOCK *createnblock(char *, int, int);
-extern NBLOCK *reallocnblock(int, int, int);
-extern int removenblock(int);
-extern int findnblockid(char *);
-extern NBLOCK *findnblock(int);
-extern BLOCK *copyrealloc(BLOCK*, int, int);
-extern int countnblocks(void);
-extern void shownblocks(void);
+E_FUNC BLOCK *blkalloc(int, int);
+E_FUNC void blk_free(BLOCK*);
+E_FUNC BLOCK *blkrealloc(BLOCK*, int, int);
+E_FUNC void blktrunc(BLOCK*);
+E_FUNC BLOCK *blk_copy(BLOCK*);
+E_FUNC int blk_cmp(BLOCK*, BLOCK*);
+E_FUNC void blk_print(BLOCK*);
+E_FUNC void nblock_print(NBLOCK *);
+E_FUNC NBLOCK *createnblock(char *, int, int);
+E_FUNC NBLOCK *reallocnblock(int, int, int);
+E_FUNC int removenblock(int);
+E_FUNC int findnblockid(char *);
+E_FUNC NBLOCK *findnblock(int);
+E_FUNC BLOCK *copyrealloc(BLOCK*, int, int);
+E_FUNC int countnblocks(void);
+E_FUNC void shownblocks(void);
 
 
-#endif /* !__BLOCK_H__ */
+#endif /* !INCLUDE_BLOCK_H */

byteswap.c

@@ -1,25 +1,34 @@
 /*
- * Copyright (c) 1995 by Landon Curt Noll.  All Rights Reserved.
+ * byteswap - byte swapping routines
  *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice and text
- * this comment, and the disclaimer below appear in all of the following:
+ * Copyright (C) 1999  Landon Curt Noll
  *
- *	supporting documentation
- *	source copies
- *	source works derived from this source
- *	binaries derived from this source or from derived source
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
  *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: byteswap.c,v 30.2 2013/08/11 08:41:38 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/RCS/byteswap.c,v $
+ *
+ * Under source code control:	1995/10/11 04:44:01
+ * File existed as early as:	1995
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
+
 #include "cmath.h"
 #include "byteswap.h"
 
@@ -93,7 +102,8 @@ swap_b8_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
 		 */
 		dest = malloc(sizeof(ZVALUE));
 		if (dest == NULL) {
-			math_error("swap_b8_in_ZVALUE: swap_b8_in_ZVALUE: Not enough memory");
+			math_error("swap_b8_in_ZVALUE: swap_b8_in_ZVALUE: "
+				    "Not enough memory");
 			/*NOTREACHED*/
 		}
 

byteswap.h

@@ -1,31 +1,43 @@
 /*
- * Copyright (c) 1997 by Landon Curt Noll.  All Rights Reserved.
+ * byteswap - byte swapping macros
  *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice and text
- * this comment, and the disclaimer below appear in all of the following:
+ * Copyright (C) 1999,2014  Landon Curt Noll
  *
- *	supporting documentation
- *	source copies
- *	source works derived from this source
- *	binaries derived from this source or from derived source
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
  *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.3 $
+ * @(#) $Id: byteswap.h,v 30.3 2014/08/24 21:56:51 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/RCS/byteswap.h,v $
+ *
+ * Under source code control:	1995/10/11 04:44:01
+ * File existed as early as:	1995
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
 
-#if !defined(__BYTESWAP_H__)
-#define __BYTESWAP_H__
+#if !defined(INCLUDE_BYTESWAP_H)
+#define INCLUDE_BYTESWAP_H
 
 
+#if defined(CALC_SRC)	/* if we are building from the calc source tree */
 # include "longbits.h"
+#else
+# include <calc/longbits.h>
+#endif
 
 
 /*
@@ -166,4 +178,4 @@
 #endif /* LONG_BITS == 64 */
 
 
-#endif /* !__BYTESWAP_H__ */
+#endif /* !INCLUDE_BYTESWAP_H */

cal/Makefile

@@ -0,0 +1,360 @@
+#!/bin/make
+#
+# cal - makefile for calc standard resource files
+#
+# Copyright (C) 1999-2006  Landon Curt Noll
+#
+# Calc is open software; you can redistribute it and/or modify it under
+# the terms of the version 2.1 of the GNU Lesser General Public License
+# as published by the Free Software Foundation.
+#
+# Calc is distributed in the hope that it will be useful, but WITHOUT
+# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+# or FITNESS FOR A PARTICULAR PURPOSE.	See the GNU Lesser General
+# Public License for more details.
+#
+# A copy of version 2.1 of the GNU Lesser General Public License is
+# distributed with calc under the filename COPYING-LGPL.  You should have
+# received a copy with calc; if not, write to Free Software Foundation, Inc.
+# 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+#
+# @(#) $Revision: 30.11 $
+# @(#) $Id: Makefile,v 30.11 2014/09/02 07:14:49 chongo Exp $
+# @(#) $Source: /usr/local/src/bin/calc/cal/RCS/Makefile,v $
+#
+# Under source code control:	1991/07/21 05:00:54
+# File existed as early as:	1991
+#
+# chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+# Share and enjoy!  :-) http://www.isthe.com/chongo/tech/comp/calc/
+#
+# calculator by David I. Bell with help/mods from others
+# Makefile by Landon Curt Noll
+
+# required vars
+#
+SHELL= /bin/sh
+
+####
+# Normally, the upper level makefile will set these values.  We provide
+# a default here just in case you want to build from this directory.
+####
+
+# Normally certain files depend on the Makefile.  If the Makefile is
+# changed, then certain steps should be redone.  If MAKE_FILE is
+# set to Makefile, then these files will depend on Makefile.  If
+# MAKE_FILE is empty, then they wont.
+#
+# If in doubt, set MAKE_FILE to Makefile
+#
+MAKE_FILE= Makefile
+
+# Controlling file makefile basename (without the path)
+#
+# This is the basename same of the makefile that may/does/will drive
+# this makefile.
+#
+# If in doubt, set TOP_MAKE_FILE to Makefile
+#
+TOP_MAKE_FILE= Makefile
+
+# Where the system include (.h) files are kept
+#
+# For DJGPP, select:
+#
+#	INCDIR= /dev/env/DJDIR/include
+#
+# If in doubt, set:
+#
+#	INCDIR= /usr/include
+#
+
+#INCDIR= /usr/local/include
+#INCDIR= /dev/env/DJDIR/include
+INCDIR= /usr/include
+
+# where to install calc realted things
+#
+# ${BINDIR}		where to install calc binary files
+# ${LIBDIR}		where calc link library (*.a) files are installed
+# ${CALC_SHAREDIR}	where to install calc help, .cal, startup, config files
+#
+# NOTE: The install rule prepends installation paths with ${T}, which
+#	by default is empty.  If ${T} is non-empty, then installation
+#	locations will be relative to the ${T} directory.
+#
+# For DJGPP, select:
+#
+#	BINDIR= /dev/env/DJDIR/bin
+#	LIBDIR= /dev/env/DJDIR/lib
+#	CALC_SHAREDIR= /dev/env/DJDIR/share/calc
+#
+# If in doubt, set:
+#
+#	BINDIR= /usr/bin
+#	LIBDIR= /usr/lib
+#	CALC_SHAREDIR= /usr/share/calc
+#
+#BINDIR= /usr/local/bin
+#BINDIR= /dev/env/DJDIR/bin
+BINDIR= /usr/bin
+
+#LIBDIR= /usr/local/lib
+#LIBDIR= /dev/env/DJDIR/lib
+LIBDIR= /usr/lib
+
+#CALC_SHAREDIR= /usr/local/lib/calc
+#CALC_SHAREDIR= /dev/env/DJDIR/share/calc
+CALC_SHAREDIR= /usr/share/calc
+
+# By default, these values are based CALC_SHAREDIR, INCDIR, BINDIR
+# ---------------------------------------------------------------
+# ${HELPDIR}		where the help directory is installed
+# ${CALC_INCDIR}	where the calc include files are installed
+# ${SCRIPTDIR}		where calc shell scripts are installed
+#
+# NOTE: The install rule prepends installation paths with ${T}, which
+#	by default is empty.  If ${T} is non-empty, then installation
+#	locations will be relative to the ${T} directory.
+#
+# If in doubt, set:
+#
+#	HELPDIR= ${CALC_SHAREDIR}/help
+#	CALC_INCDIR= ${INCDIR}/calc
+#	SCRIPTDIR= ${BINDIR}/cscript
+#
+HELPDIR= ${CALC_SHAREDIR}/help
+CALC_INCDIR= ${INCDIR}/calc
+SCRIPTDIR= ${BINDIR}/cscript
+
+# T - top level directory under which calc will be installed
+#
+# The calc install is performed under ${T}, the calc build is
+# performed under /.	The purpose for ${T} is to allow someone
+# to install calc somewhere other than into the system area.
+#
+# For example, if:
+#
+#     BINDIR= /usr/bin
+#     LIBDIR= /usr/lib
+#     CALC_SHAREDIR= /usr/share/calc
+#
+# and if:
+#
+#     T= /var/tmp/testing
+#
+# Then the installation locations will be:
+#
+#     calc binary files:	/var/tmp/testing/usr/bin
+#     calc link library:	/var/tmp/testing/usr/lib
+#     calc help, .cal ...:	/var/tmp/testing/usr/share/calc
+#     ... etc ...		/var/tmp/testing/...
+#
+# If ${T} is empty, calc is installed under /, which is the same
+# top of tree for which it was built.  If ${T} is non-empty, then
+# calc is installed under ${T}, as if one had to chroot under
+# ${T} for calc to operate.
+#
+# If in doubt, use T=
+#
+T=
+
+# Makefile debug
+#
+# Q=@	do not echo internal makefile actions (quiet mode)
+# Q=	echo internal makefile actions (debug / verbose mode)
+#
+#Q=
+Q=@
+
+# standard tools
+#
+CHMOD= chmod
+CMP= cmp
+RM= rm
+MKDIR= mkdir
+RMDIR= rmdir
+CP= cp
+MV= mv
+CO= co
+TRUE= true
+TOUCH= touch
+SED= sed
+SORT= sort
+FMT= fmt
+
+# The calc files to install
+#
+# This list is prodiced by the detaillist rule when no WARNINGS are detected.
+#
+# Please use:
+#
+#	make calc_files_list
+#
+# to keep this list in nice sorted order and to check that these
+# deailed help files are under RCS control.
+#
+CALC_FILES= README alg_config.cal beer.cal bernoulli.cal \
+	bernpoly.cal bigprime.cal bindings brentsolve.cal chi.cal chrem.cal \
+	constants.cal deg.cal dms.cal dotest.cal ellip.cal factorial.cal \
+	factorial2.cal gvec.cal hello.cal hms.cal infinities.cal \
+	intfile.cal intnum.cal lambertw.cal linear.cal lnseries.cal \
+	lucas.cal lucas_chk.cal lucas_tbl.cal mersenne.cal mfactor.cal \
+	mod.cal natnumset.cal pell.cal pi.cal pix.cal pollard.cal poly.cal \
+	prompt.cal psqrt.cal qtime.cal quat.cal randbitrun.cal randmprime.cal \
+	randombitrun.cal randomrun.cal randrun.cal regress.cal repeat.cal \
+	screen.cal seedrandom.cal set8700.cal set8700.line smallfactors.cal \
+	solve.cal specialfunctions.cal statistics.cal strings.cal sumsq.cal \
+	sumtimes.cal surd.cal test1700.cal test2300.cal test2600.cal \
+	test2700.cal test3100.cal test3300.cal test3400.cal test3500.cal \
+	test4000.cal test4100.cal test4600.cal test5100.cal test5200.cal \
+	test8400.cal test8500.cal test8600.cal test8900.cal toomcook.cal \
+	unitfrac.cal varargs.cal xx_print.cal zeta2.cal
+
+# These files are found (but not built) in the distribution
+#
+DISTLIST= ${CALC_FILES} ${MAKE_FILE}
+
+# These files are used to make (but not built) a calc .a link library
+#
+CALCLIBLIST=
+
+all: ${CALC_FILES} ${MAKE_FILE} .all
+
+# used by the upper level Makefile to determine of we have done all
+#
+.all:
+	${RM} -f .all
+	${TOUCH} .all
+
+##
+#
+# File list generation.	 You can ignore this section.
+#
+#
+# We will form the names of source files as if they were in a
+# sub-directory called calc/cal.
+#
+# NOTE: Due to bogus shells found on one common system we must have
+#	an non-emoty else clause for every if condition.  *sigh*
+#
+##
+
+distlist: ${DISTLIST}
+	${Q} for i in ${DISTLIST} /dev/null; do \
+	    if [ X"$$i" != X"/dev/null" ]; then \
+		echo cal/$$i; \
+	    fi; \
+	done
+
+distdir:
+	${Q} echo cal
+
+calcliblist:
+	${Q} for i in ${CALCLIBLIST} /dev/null; do \
+	    if [ X"$$i" != X"/dev/null" ]; then \
+		echo cal/$$i; \
+	    fi; \
+	done
+
+# These next rule help form the ${CALC_FILES} makefile variables above.
+#
+calc_files_list:
+	${Q} -(find .  -mindepth 1 -maxdepth 1 -type f -name '*.cal' -print | \
+	   while read i; do \
+		if [ X"$$i" != X"/dev/null" ]; then \
+		    if [ ! -f RCS/$$i,v ]; then \
+			echo "WARNING: $$i not under RCS control" 1>&2; \
+		    else \
+			echo $$i; \
+		    fi; \
+		fi; \
+	done; \
+	echo '--first_line--'; \
+	echo README; \
+	echo set8700.line; \
+	echo bindings) | \
+	    ${SED} -e 's:^\./::' | LANG=C ${SORT} | ${FMT} -70 | \
+	    ${SED} -e '1s/--first_line--/CALC_FILES=/' -e '2,$$s/^/	/' \
+		   -e 's/$$/ \\/' -e '$$s/ \\$$//'
+
+##
+#
+# rpm rules
+#
+##
+
+echo_inst_files:
+	${Q} for i in ${CALC_FILES} /dev/null; do \
+	    if [ X"$$i" != X"/dev/null" ]; then \
+		echo __file__ ${CALC_SHAREDIR}/$$i; \
+	    fi; \
+	done
+
+##
+#
+# Utility rules
+#
+##
+
+clean:
+
+clobber: clean
+	${RM} -f .all
+
+# install everything
+#
+# NOTE: Keep the uninstall rule in reverse order to the install rule
+#
+install: all
+	-${Q} if [ ! -d ${T}${CALC_SHAREDIR} ]; then \
+	    echo ${MKDIR} -p ${T}${CALC_SHAREDIR}; \
+	    ${MKDIR} -p ${T}${CALC_SHAREDIR}; \
+	    if [ ! -d "${T}${CALC_SHAREDIR}" ]; then \
+		echo ${MKDIR} -p "${T}${CALC_SHAREDIR}"; \
+		${MKDIR} -p "${T}${CALC_SHAREDIR}"; \
+	    fi; \
+	    echo ${CHMOD} 0755 ${T}${CALC_SHAREDIR}; \
+	    ${CHMOD} 0755 ${T}${CALC_SHAREDIR}; \
+	else \
+	    ${TRUE}; \
+	fi
+	${Q} for i in ${CALC_FILES} /dev/null; do \
+	    if [ "$$i" = "/dev/null" ]; then \
+		continue; \
+	    fi; \
+	    if ${CMP} -s $$i ${T}${CALC_SHAREDIR}/$$i; then \
+		${TRUE}; \
+	    else \
+		${RM} -f ${T}${CALC_SHAREDIR}/$$i.new; \
+		${CP} -f $$i ${T}${CALC_SHAREDIR}/$$i.new; \
+		${CHMOD} 0444 ${T}${CALC_SHAREDIR}/$$i.new; \
+		${MV} -f ${T}${CALC_SHAREDIR}/$$i.new ${T}${CALC_SHAREDIR}/$$i;\
+		echo "installed ${T}${CALC_SHAREDIR}/$$i"; \
+	    fi; \
+	done
+
+# Try to remove everything that was installed
+#
+# NOTE: Keep the uninstall rule in reverse order to the install rule
+#
+uninstall:
+	-${Q} for i in ${CALC_FILES} /dev/null; do \
+	    if [ "$$i" = "/dev/null" ]; then \
+		continue; \
+	    fi; \
+	    if [ -f "${T}${CALC_SHAREDIR}/$$i" ]; then \
+	    	${RM} -f "${T}${CALC_SHAREDIR}/$$i"; \
+		if [ -f "${T}${CALC_SHAREDIR}/$$i" ]; then \
+		   echo "cannot uninstall ${T}${CALC_SHAREDIR}/$$i"; \
+		else \
+		   echo "uninstalled ${T}${CALC_SHAREDIR}/$$i"; \
+		fi; \
+	    fi; \
+	done
+	-${Q} for i in ${CALC_SHAREDIR}; do \
+	    if [ -d "${T}$$i" ]; then \
+		${RMDIR} "${T}$$i" 2>/dev/null; \
+		echo "cleaned up ${T}$$i"; \
+	    fi; \
+	done

cal/beer.cal

@@ -0,0 +1,50 @@
+/*
+ * beer - 99 bottles of beer
+ *
+ * Copyright (C) 1999  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: beer.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/beer.cal,v $
+ *
+ * Under source code control:	1996/11/13 13:21:05
+ * File existed as early as:	1996
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * See: http://www.ionet.net/~timtroyr/funhouse/beer.html#calc
+ */
+
+
+for (i=99; i > 0;) {
+	/* current wall state */
+	some_bottles = (i != 1) ? "bottles" : "bottle";
+	print i, some_bottles, "of beer on the wall,",;
+	print i, some_bottles, "of beer!";
+
+	/* glug, glug */
+	--i;
+	print "Take one down and pass it around,",;
+
+	/* new wall state */
+	less = (i > 0) ? i : "no";
+	bottles = (i!=1) ? "bottles" : "bottle";
+	print less, bottles, "of beer on the wall!\n";
+}

cal/bernoulli.cal

@@ -0,0 +1,97 @@
+/*
+ * bernoulli - clculate the Nth Bernoulli number B(n)
+ *
+ * Copyright (C) 2000  David I. Bell and Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: bernoulli.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/bernoulli.cal,v $
+ *
+ * Under source code control:	1991/09/30 11:18:41
+ * File existed as early as:	1991
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * Calculate the Nth Bernoulli number B(n).
+ *
+ * NOTE: This is now a bulitin function.
+ *
+ * The non-buildin code used the following symbolic formula to calculate B(n):
+ *
+ *	(b+1)^(n+1) - b^(n+1) = 0
+ *
+ * where b is a dummy value, and each power b^i gets replaced by B(i).
+ * For example, for n = 3:
+ *
+ *	(b+1)^4 - b^4 = 0
+ *	b^4 + 4*b^3 + 6*b^2 + 4*b + 1 - b^4 = 0
+ *	4*b^3 + 6*b^2 + 4*b + 1 = 0
+ *	4*B(3) + 6*B(2) + 4*B(1) + 1 = 0
+ *	B(3) = -(6*B(2) + 4*B(1) + 1) / 4
+ *
+ * The combinatorial factors in the expansion of the above formula are
+ * calculated interatively, and we use the fact that B(2i+1) = 0 if i > 0.
+ * Since all previous B(n)'s are needed to calculate a particular B(n), all
+ * values obtained are saved in an array for ease in repeated calculations.
+ */
+
+
+/*
+static Bnmax;
+static mat Bn[1001];
+*/
+
+define B(n)
+{
+/*
+	local	nn, np1, i, sum, mulval, divval, combval;
+
+	if (!isint(n) || (n < 0))
+		quit "Non-negative integer required for Bernoulli";
+
+	if (n == 0)
+		return 1;
+	if (n == 1)
+		return -1/2;
+	if (isodd(n))
+		return 0;
+	if (n > 1000)
+		quit "Very large Bernoulli";
+
+	if (n <= Bnmax)
+		return Bn[n];
+
+	for (nn = Bnmax + 2; nn <= n; nn+=2) {
+		np1 = nn + 1;
+		mulval = np1;
+		divval = 1;
+		combval = 1;
+		sum = 1 - np1 / 2;
+		for (i = 2; i < np1; i+=2) {
+			combval = combval * mulval-- / divval++;
+			combval = combval * mulval-- / divval++;
+			sum += combval * Bn[i];
+		}
+		Bn[nn] = -sum / np1;
+	}
+	Bnmax = n;
+	return Bn[n];
+*/
+	return bernoulli(n);
+}

cal/bernpoly.cal

@@ -0,0 +1,59 @@
+/*
+ * bernpoly - Bernoully polynomials B_n(z) for arbitrary n,z..
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.4 $
+ * @(#) $Id: bernpoly.cal,v 30.4 2013/08/18 20:01:53 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/bernpoly.cal,v $
+ *
+ * Under source code control:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+read -once zeta2
+
+
+/* Idea by Don Zagier */
+define bernpoly(n,z){
+  local h s c k;
+  if(isint(n) && n>=0){
+    h=0;s=0;c=-1;
+    for(k=1;k<=n+1;k++){
+      c*=1-(n+2)/k;
+      s+=z^n;
+      z++;
+      h+=c*s/k;
+    }
+    return h;
+  }
+  else return -n*hurwitzzeta(1-n,z);
+}
+
+
+/*
+ * restore internal function from resource debugging
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "bernpoly(n,z)";
+}

cal/bigprime.cal

@@ -0,0 +1,49 @@
+/*
+ * bigprime - a prime test, base a, on p*2^x+1 for even x>m
+ *
+ * Copyright (C) 1999  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: bigprime.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/bigprime.cal,v $
+ *
+ * Under source code control:	1991/05/22 21:56:32
+ * File existed as early as:	1991
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+define bigprime(a, m, p)
+{
+	local n1, n;
+
+	n1 = 2^m * p;
+	for (;;) {
+		m++;
+		n1 += n1;
+		n = n1 + 1;
+		if (isodd(m))
+			continue;
+		print m;
+		if (pmod(a, n1 / 2, n) != n1)
+			continue;
+		if (pmod(a, n1 / p, n) == 1)
+			continue;
+		print " " : n;
+	}
+}

cal/bindings

@@ -0,0 +1,75 @@
+# bindings - default key bindings for calc line editing functions
+#
+# Copyright (C) 1999  David I. Bell
+#
+# Calc is open software; you can redistribute it and/or modify it under
+# the terms of the version 2.1 of the GNU Lesser General Public License
+# as published by the Free Software Foundation.
+#
+# Calc is distributed in the hope that it will be useful, but WITHOUT
+# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+# or FITNESS FOR A PARTICULAR PURPOSE.	See the GNU Lesser General
+# Public License for more details.
+#
+# A copy of version 2.1 of the GNU Lesser General Public License is
+# distributed with calc under the filename COPYING-LGPL.  You should have
+# received a copy with calc; if not, write to Free Software Foundation, Inc.
+# 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+#
+# @(#) $Revision: 30.1 $
+# @(#) $Id: bindings,v 30.1 2007/03/16 11:09:54 chongo Exp $
+# @(#) $Source: /usr/local/src/bin/calc/cal/RCS/bindings,v $
+#
+# Under source code control:	1993/05/02 20:09:19
+# File existed as early as:	1993
+#
+# Share and enjoy!  :-) http://www.isthe.com/chongo/tech/comp/calc/
+
+# NOTE: This facility is ignored if calc was compiled with GNU-readline.
+#	In that case, the standard readline mechanisms (see readline(3))
+#	are used in place of those found below.
+
+
+map	base-map
+default insert-char
+^@	set-mark
+^A	start-of-line
+^B	backward-char
+^D	delete-char
+^E	end-of-line
+^F	forward-char
+^H	backward-kill-char
+^J	new-line
+^K	kill-line
+^L	refresh-line
+^M	new-line
+^N	forward-history
+^O	save-line
+^P	backward-history
+^R	reverse-search
+^T	swap-chars
+^U	flush-input
+^V	quote-char
+^W	kill-region
+^Y	yank
+^?	backward-kill-char
+^[	ignore-char	esc-map
+
+map	esc-map
+default ignore-char	base-map
+G	start-of-line
+H	backward-history
+P	forward-history
+K	backward-char
+M	forward-char
+O	end-of-line
+S	delete-char
+g	goto-line
+s	backward-word
+t	forward-word
+d	forward-kill-word
+u	uppercase-word
+l	lowercase-word
+h	list-history
+^[	flush-input
+[	arrow-key

cal/brentsolve.cal

@@ -0,0 +1,258 @@
+/*
+ * brentsolve - Root finding with the Brent-Dekker trick
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.4 $
+ * @(#) $Id: brentsolve.cal,v 30.4 2013/08/18 20:01:53 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/brentsolve.cal,v $
+ *
+ * Under source code control:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+/*
+  A short explanation is at http://en.wikipedia.org/wiki/Brent%27s_method
+  I tried to follow the description at wikipedia as much as possible to make
+  the slight changes I did more visible.
+  You may give http://people.sc.fsu.edu/~jburkardt/cpp_src/brent/brent.html a
+  short glimpse (Brent's originl Fortran77 versions and some translations of
+  it).
+*/
+
+static true = 1;
+static false = 0;
+define brentsolve(low, high,eps){
+  local a b c d fa fb fc fa2 fb2 fc2 s fs  tmp tmp2  mflag i places;
+  a = low;
+  b = high;
+  c = 0;
+
+  if(isnull(eps))
+    eps = epsilon(epsilon()*1e-3);
+  places = highbit(1 + int( 1/epsilon() ) ) + 1;
+
+  d = 1/eps;
+
+  fa = f(a);
+  fb = f(b);
+
+  fc = 0;
+  s = 0;
+  fs = 0;
+
+  if(fa * fb >= 0){
+    if(fa < fb){
+      epsilon(eps);
+      return a;
+    }
+    else{
+      epsilon(eps);
+      return b;
+    }
+  }
+
+  if(abs(fa) < abs(fb)){
+    tmp = a; a = b; b = tmp;
+    tmp = fa; fa = fb; fb = tmp;
+  }
+
+  c = a;
+  fc = fa;
+  mflag = 1;
+  i = 0;
+
+  while(!(fb==0) && (abs(a-b) > eps)){
+    if((fa != fc) && (fb != fc)){
+      /* Inverse quadratic interpolation*/
+      fc2 = fc^2;
+      fa2 = fa^2;
+      s = bround(((fb^2*((fc*a)-(c*fa)))+(fb*((c*fa2)-(fc2*a)))+(b*((fc2*fa)
+                    -(fc*fa2))))/((fc - fb)*(fa - fb)*(fc - fa)),places++);
+    }
+    else{
+      /* Secant Rule*/
+      s =bround( b - fb * (b - a) / (fb - fa),places++);
+    }
+    tmp2 = (3 * a + b) / 4;
+    if( (!( ((s > tmp2) && (s < b))||((s < tmp2) && (s > b))))
+        || (mflag && (abs(s - b) >= (abs(b - c) / 2)))
+        || (!mflag && (abs(s - b) >= (abs(c - d) / 2)))) {
+      s = (a + b) / 2;
+      mflag = true;
+    }
+    else{
+      if( (mflag && (abs(b - c) < eps))
+          || (!mflag && (abs(c - d) < eps))) {
+        s = (a + b) / 2;
+        mflag = true;
+      }
+      else
+        mflag = false;
+    }
+    fs = f(s);
+    c = b;
+    fc = fb;
+    if (fa * fs < 0){
+      b = s;
+      fb = fs;
+    }
+    else {
+      a = s;
+      fa = fs;
+    }
+
+    if (abs(fa) < abs(fb)){
+      tmp = a; a = b; b = tmp;
+      tmp = fa; fa = fb; fb = tmp;
+    }
+    i++;
+    if (i > 1000){
+      epsilon(eps);
+      return newerror("brentsolve: does not converge");
+    }
+  }
+  epsilon(eps);
+  return b;
+}
+
+/*
+  A variation of the solver to accept functions named differently from "f". The
+  code should explain it.
+*/
+define brentsolve2(low, high,which,eps){
+  local a b c d fa fb fc fa2 fb2 fc2 s fs  tmp tmp2  mflag i places;
+  a = low;
+  b = high;
+  c = 0;
+
+  switch(param(0)){
+    case 0:
+    case 1: return newerror("brentsolve2: not enough argments");
+    case 2: eps = epsilon(epsilon()*1e-2);
+            which = 0;break;
+    case 3: eps = epsilon(epsilon()*1e-2);break;
+    default: break;
+  };
+  places = highbit(1 + int(1/epsilon())) + 1;
+
+  d = 1/eps;
+
+  switch(which){
+    case 1:  fa = __CZ__invbeta(a);
+             fb = __CZ__invbeta(b); break;
+    case 2:  fa = __CZ__invincgamma(a);
+             fb = __CZ__invincgamma(b); break;
+
+    default: fa = f(a);fb = f(b);   break;
+  };
+
+  fc = 0;
+  s = 0;
+  fs = 0;
+
+  if(fa * fb >= 0){
+    if(fa < fb)
+      return a;
+    else
+      return b;
+  }
+
+  if(abs(fa) < abs(fb)){
+    tmp = a; a = b; b = tmp;
+    tmp = fa; fa = fb; fb = tmp;
+  }
+
+  c = a;
+  fc = fa;
+  mflag = 1;
+  i = 0;
+
+  while(!(fb==0) && (abs(a-b) > eps)){
+
+    if((fa != fc) && (fb != fc)){
+      /* Inverse quadratic interpolation*/
+      fc2 = fc^2;
+      fa2 = fa^2;
+      s = bround(((fb^2*((fc*a)-(c*fa)))+(fb*((c*fa2)-(fc2*a)))+(b*((fc2*fa)
+                    -(fc*fa2))))/((fc - fb)*(fa - fb)*(fc - fa)),places);
+      places++;
+    }
+    else{
+      /* Secant Rule*/
+      s =bround( b - fb * (b - a) / (fb - fa),places);
+      places++;
+    }
+    tmp2 = (3 * a + b) / 4;
+    if( (!( ((s > tmp2) && (s < b))||((s < tmp2) && (s > b))))
+        || (mflag && (abs(s - b) >= (abs(b - c) / 2)))
+        || (!mflag && (abs(s - b) >= (abs(c - d) / 2)))) {
+      s = (a + b) / 2;
+      mflag = true;
+    }
+    else{
+      if( (mflag && (abs(b - c) < eps))
+          || (!mflag && (abs(c - d) < eps))) {
+        s = (a + b) / 2;
+        mflag = true;
+      }
+      else
+        mflag = false;
+    }
+    switch(which){
+      case 1:  fs = __CZ__invbeta(s); break;
+      case 2:  fs = __CZ__invincgamma(s); break;
+
+      default: fs = f(s);             break;
+    };
+    c = b;
+    fc = fb;
+    if (fa * fs < 0){
+      b = s;
+      fb = fs;
+    }
+    else {
+      a = s;
+      fa = fs;
+    }
+
+    if (abs(fa) < abs(fb)){
+      tmp = a; a = b; b = tmp;
+      tmp = fa; fa = fb; fb = tmp;
+    }
+    i++;
+    if (i > 1000){
+      return newerror("brentsolve2: does not converge");
+    }
+  }
+  return b;
+}
+
+
+/*
+ * restore internal function from resource debugging
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "brentsolve(low, high,eps)";
+    print "brentsolve2(low, high,which,eps)";
+}

cal/chi.cal

@@ -0,0 +1,251 @@
+/*
+ * chi - chi^2 probabilities with degrees of freedom for null hypothesis
+ *
+ * Copyright (C) 2001  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: chi.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/chi.cal,v $
+ *
+ * Under source code control:	2001/03/27 14:10:11
+ * File existed as early as:	2001
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+/*
+ * Z(x)
+ *
+ * From Handbook of Mathematical Functions
+ *	10th printing, Dec 1972 with corrections
+ *	National Bureau of Standards
+ *
+ * Section 26.2.1, p931.
+ */
+define Z(x, eps_term)
+{
+    local eps;		/* error term */
+
+    /* obtain the error term */
+    if (isnull(eps_term)) {
+    	eps = epsilon();
+    } else {
+	eps = eps_term;
+    }
+
+    /* compute Z(x) value */
+    return exp(-x*x/2, eps) / sqrt(2*pi(eps), eps);
+}
+
+
+/*
+ * P(x[, eps]) asymtotic P(x) expansion for x>0 to an given epsilon error term
+ *
+ * NOTE: If eps is omitted, the stored epsilon value is used.
+ *
+ * From Handbook of Mathematical Functions
+ *	10th printing, Dec 1972 with corrections
+ *	National Bureau of Standards
+ *
+ * 26.2.11, p932:
+ *
+ *	P(x) = 1/2 + Z(x) * sum(n=0; n < infinity){x^(2*n+1)/(1*3*5*...(2*n+1)};
+ *
+ * We continue the fraction until it is less than epsilon error term.
+ *
+ * Also note 26.2.5:
+ *
+ *	P(x) + Q(x) = 1
+ */
+define P(x, eps_term)
+{
+    local eps;		/* error term */
+    local s;		/* sum */
+    local x2;		/* x^2 */
+    local x_term;	/* x^(2*r+1) */
+    local odd_prod;	/* 1*3*5* ... */
+    local odd_term;	/* next odd value to multiply into odd_prod */
+    local term;		/* the recent term added to the sum */
+
+    /* obtain the error term */
+    if (isnull(eps_term)) {
+    	eps = epsilon();
+    } else {
+	eps = eps_term;
+    }
+
+    /* firewall */
+    if (x <= 0) {
+	if (x == 0) {
+	    return 0;	/* hack */
+	} else {
+	    quit "Q(x[,eps]) 1st argument must be >= 0";
+	}
+    }
+    if (eps <= 0) {
+	quit "Q(x[,eps]) 2nd argument must be > 0";
+    }
+
+    /*
+     * aproximate sum(n=0; n < infinity){x^(2*n+1)/(1*3*5*...(2*n+1)}
+     */
+    x2 = x*x;
+    x_term = x;
+    s = x_term;	/* 1st term */
+    odd_term = 1;
+    odd_prod = 1;
+    do {
+
+	/* compute the term */
+	odd_term += 2;
+	odd_prod *= odd_term;
+	x_term *= x2;
+	term = x_term / odd_prod;
+	s += term;
+
+    } while (term >= eps);
+
+    /* apply term and factor */
+    return 0.5 + Z(x,eps)*s;
+}
+
+
+/*
+ * chi_prob(chi_sq, v[, eps]) -  Prob of >= chi^2 with v degrees of freedom
+ *
+ *    Computes the Probability, given the Null Hypothesis, that a given
+ *    Chi squared values >= chi_sq with v degrees of freedom.
+ *
+ *    The chi_prob() function does not work well with odd degrees of freedom.
+ *    It is reasonable with even degrees of freedom, although one must give
+ *    a sifficently small error term as the degress gets large (>100).
+ *
+ * NOTE: This function does not work well with odd degrees of freedom.
+ *	 Can somebody help / find a bug / provide a better method of
+ *	 this odd degrees of freedom case?
+ *
+ * NOTE: This function works well with even degrees of freedom.  However
+ *	 when the even degrees gets large (say, as you approach 100), you
+ *	 need to increase your error term.
+ *
+ * From Handbook of Mathematical Functions
+ *	10th printing, Dec 1972 with corrections
+ *	National Bureau of Standards
+ *
+ * Section 26.4.4, p941:
+ *
+ *   For odd v:
+ *
+ *	Q(chi_sq, v) = 2*Q(chi) + 2*Z(chi) * (
+ *		     sum(r=1, r<=(r-1)/2) {(chi_sq^r/chi) / (1*3*5*...(2*r-1)});
+ *
+ *	chi = sqrt(chi_sq)
+ *
+ *	NOTE: Q(x) = 1-P(x)
+ *
+ * Section 26.4.5, p941.
+ *
+ *   For even v:
+ *
+ *	Q(chi_sq, v) = sqrt(2*pi()) * Z(chi) * ( 1 +
+ *		       sum(r=1, r=((v-2)/2)) { chi_sq^r / (2*4*...*(2r)) } );
+ *
+ *	chi = sqrt(chi_sq)
+ *
+ * Observe that:
+ *
+ *	Z(x) = exp(-x*x/2) / sqrt(2*pi());	(Section 26.2.1, p931)
+ *
+ * and thus:
+ *
+ *	sqrt(2*pi()) * Z(chi) =
+ *	sqrt(2*pi()) * Z(sqrt(chi_sq)) =
+ *	sqrt(2*pi()) * exp(-sqrt(chi_sq)*sqrt(chi_sq)/2) / sqrt(2*pi()) =
+ *	exp(-sqrt(chi_sq)*sqrt(chi_sq)/2) =
+ *	exp(-sqrt(-chi_sq/2)
+ *
+ * So:
+ *
+ *	Q(chi_sq, v) = exp(-sqrt(-chi_sq/2) * ( 1 + sum(....){...} );
+ */
+define chi_prob(chi_sq, v, eps_term)
+{
+    local eps;		/* error term */
+    local r;		/* index in finite sum */
+    local r_lim;	/* limit value for r */
+    local s;		/* sum */
+    local d;		/* demoninator (2*4*6*... or 1*3*5...) */
+    local chi_term;	/* chi_sq^r */
+    local ret;		/* return value */
+
+    /* obtain the error term */
+    if (isnull(eps_term)) {
+	eps = epsilon();
+    } else {
+	eps = eps_term;
+    }
+
+    /*
+     * odd degrees of freedom
+     */
+    if (isodd(v)) {
+
+	local chi;		/* sqrt(chi_sq) */
+
+	/* setup for sum */
+	s = 1;
+	d = 1;
+	chi = sqrt(abs(chi_sq), eps);
+	chi_term = chi;
+	r_lim = (v-1)/2;
+
+	/* compute sum(r=1, r=((v-1)/2)) {(chi_sq^r/chi) / (1*3*5...*(2r-1))} */
+	for (r=2; r <= r_lim; ++r) {
+	    chi_term *= chi_sq;
+	    d *= (2*r)-1;
+	    s += chi_term/d;
+	}
+
+	/* apply term and factor, Q(x) = 1-P(x) */
+	ret = 2*(1-P(chi)) + 2*Z(chi)*s;
+
+    /*
+     * even degrees of freedom
+     */
+    } else {
+
+	/* setup for sum */
+	s =1;
+	d = 1;
+	chi_term = 1;
+	r_lim = (v-2)/2;
+
+	/* compute sum(r=1, r=((v-2)/2)) { chi_sq^r / (2*4*...*(2r)) } */
+	for (r=1; r <= r_lim; ++r) {
+	    chi_term *= chi_sq;
+	    d *= r*2;
+	    s += chi_term/d;
+	}
+
+	/* apply factor - see observation in the main comment above */
+	ret = exp(-chi_sq/2, eps) * s;
+    }
+
+    return ret;
+}

cal/chrem.cal

@@ -1,6 +1,35 @@
 /*
- * chrem - Chinese remainder theorem/problem solver
+ * chrem - chinese remainder theorem/problem solver
  *
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
+ *
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: chrem.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/chrem.cal,v $
+ *
+ * Under source code control:	1992/09/26 01:00:47
+ * File existed as early as:	1992
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
  * When possible, chrem finds solutions for x of a set of congruences
  * of the form:
  *
@@ -84,11 +113,9 @@
  *	    chrem(list(0,1,1,1,1,1),list(7,2,3,4,5,6)) ---> (301,420)
  *
  *	i.e., any value that is 301 mod 420.
- *
- * Written by: Ernest W Bowen <ernie@neumann.une.edu.au>
- * Interface by: Landon Curt Noll http://reality.sgi.com/chongo/
  */
 
+
 static defaultmlist = list(2,3,5,7,11,13,17,19); /* The first eight primes */
 
 define chrem()
@@ -174,7 +201,7 @@ define chrem()
     }
 }
 
-if (config("lib_debug") & 3) {
+if (config("resource_debug") & 3) {
     print "chrem(r1,m1 [,r2,m2 ...]) defined";
     print "chrem(rlist [,mlist]) defined";
 }

cal/constants.cal

@@ -0,0 +1,104 @@
+/*
+ * constants - implementation of different constants to arbitrary precision
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.4 $
+ * @(#) $Id: constants.cal,v 30.4 2013/08/18 20:01:53 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/constants.cal,v $
+ *
+ * Under source code control:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+static __CZ__euler_mascheroni = 0;
+static __CZ__euler_mascheroni_prec = 0;
+
+
+define e(){
+  local k temp1 temp2 ret eps factor upperlimit prec;
+
+  prec = digits(1/epsilon());
+  if(__CZ__euler_mascheroni != 0 &&  __CZ__euler_mascheroni_prec >= prec)
+    return __CZ__euler_mascheroni;
+  if(prec<=20) return 2.718281828459045235360287471;
+  if(prec<=1800){
+    __CZ__euler_mascheroni = exp(1);
+    __CZ__euler_mascheroni_prec = prec;
+  }
+
+  eps=epsilon(1e-20);
+  factor = 1;
+  k = 0;
+  upperlimit = prec * ln(10);
+  while(k<upperlimit){
+    k += ln(factor);
+    factor++;
+  }
+  epsilon(eps);
+  temp1 = 0;
+  ret   = 1;
+  for(k=3;k<=factor;k++){
+    temp2 = temp1;
+    temp1 = ret;
+    ret =  (k-1) *(temp1 + temp2);
+  }
+
+  ret = inverse( ret * inverse(factorial(factor) ) ) ;
+  __CZ__euler_mascheroni = ret;
+  __CZ__euler_mascheroni_prec = prec;
+  return ret;
+}
+
+
+/* Lupas' series */
+static __CZ__catalan = 0;
+static __CZ__catalan_prec = 0;
+define G(){
+  local eps a s t n;
+  eps = epsilon(epsilon()*1e-10);
+  if(__CZ__catalan != 0 &&  __CZ__catalan >= log(1/eps))
+    return __CZ__catalan;
+  a = 1;
+  s = 0;
+  t = 1;
+  n = 1;
+  while(abs(t)> eps){
+    a *= 32 * n^3 * (2*n-1);
+    a /=((3-16*n+16*n^2)^2);
+    t = a * (-1)^(n-1) * (40*n^2-24*n+3) / (n^3 * (2*n-1));
+    s += t;
+    n += 1;
+  }
+  s = s/64;
+  __CZ__catalan = s;
+  __CZ__catalan_prec = log(1/eps);
+  epsilon(eps);
+  return s;
+}
+
+
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "e()";
+    print "G()";
+}

cal/deg.cal

@@ -0,0 +1,138 @@
+/*
+ * deg - calculate in degrees, minutes, and seconds
+ *
+ * Copyright (C) 1999  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: deg.cal,v 30.2 2010/09/02 06:01:14 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/deg.cal,v $
+ *
+ * Under source code control:	1990/02/15 01:50:33
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+obj deg {deg, min, sec};
+
+define deg(deg, min, sec)
+{
+	local ans;
+
+	if (isnull(sec))
+		sec = 0;
+	if (isnull(min))
+		min = 0;
+	obj deg ans;
+	ans.deg = deg;
+	ans.min = min;
+	ans.sec = sec;
+	fixdeg(ans);
+	return ans;
+}
+
+
+define deg_add(a, b)
+{
+	local obj deg	ans;
+
+	ans.deg = 0;
+	ans.min = 0;
+	ans.sec = 0;
+	if (istype(a, ans)) {
+		ans.deg += a.deg;
+		ans.min += a.min;
+		ans.sec += a.sec;
+	} else
+		ans.deg += a;
+	if (istype(b, ans)) {
+		ans.deg += b.deg;
+		ans.min += b.min;
+		ans.sec += b.sec;
+	} else
+		ans.deg += b;
+	fixdeg(ans);
+	return ans;
+}
+
+
+define deg_neg(a)
+{
+	local obj deg	ans;
+
+	ans.deg = -a.deg;
+	ans.min = -a.min;
+	ans.sec = -a.sec;
+	return ans;
+}
+
+
+define deg_sub(a, b)
+{
+	return a - b;
+}
+
+
+define deg_mul(a, b)
+{
+	local obj deg	ans;
+
+	if (istype(a, ans) && istype(b, ans))
+		quit "Cannot multiply degrees together";
+	if (istype(a, ans)) {
+		ans.deg = a.deg * b;
+		ans.min = a.min * b;
+		ans.sec = a.sec * b;
+	} else {
+		ans.deg = b.deg * a;
+		ans.min = b.min * a;
+		ans.sec = b.sec * a;
+	}
+	fixdeg(ans);
+	return ans;
+}
+
+
+define deg_print(a)
+{
+	print a.deg : 'd' : a.min : 'm' : a.sec : 's' :;
+}
+
+
+define deg_abs(a)
+{
+	return a.deg + a.min / 60 + a.sec / 3600;
+}
+
+
+define fixdeg(a)
+{
+	a.min += frac(a.deg) * 60;
+	a.deg = int(a.deg);
+	a.sec += frac(a.min) * 60;
+	a.min = int(a.min);
+	a.min += a.sec // 60;
+	a.sec %= 60;
+	a.deg += a.min // 60;
+	a.min %= 60;
+	a.deg %= 360;
+}
+
+if (config("resource_debug") & 3) {
+    print "obj deg {deg, min, sec} defined";
+}

cal/dms.cal

@@ -0,0 +1,384 @@
+/*
+ * dms - calculate in degrees, minutes, and seconds (based on deg)
+ *
+ * Copyright (C) 1999,2010  David I. Bell and Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: dms.cal,v 30.2 2010/09/02 06:14:16 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/dms.cal,v $
+ *
+ * Under source code control:	1990/02/15 01:50:33
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+obj dms {deg, min, sec};
+
+define dms(deg, min, sec)
+{
+    local obj dms ans;		/* return value */
+
+    /* default missing args to 0 */
+    if (isnull(sec)) {
+	sec = 0;
+    }
+    if (isnull(min)) {
+	min = 0;
+    }
+
+    /* load object */
+    ans.deg = deg;
+    ans.min = min;
+    ans.sec = sec;
+
+    /* return properly formed object */
+    ans = fixdms(ans);
+    return ans;
+}
+
+
+define dms_add(a, b)
+{
+    local obj dms ans;		/* return value */
+
+    /* initalize value to 1st arg */
+    if (istype(a, ans)) {
+	/* 1st arg is dms object, load it */
+	ans.deg = a.deg;
+	ans.min = a.min;
+	ans.sec = a.sec;
+    } else {
+	/* 1st arg is not dms, assume scalar degrees */
+	ans.deg = a;
+	ans.min = 0;
+	ans.sec = 0;
+    }
+
+    /* add value of 2nd arg */
+    if (istype(b, ans)) {
+	/* 2nd arg is dms object, add it */
+	ans.deg += b.deg;
+	ans.min += b.min;
+	ans.sec += b.sec;
+    } else {
+	/* 2nd arg is not dms, add scalar degrees */
+	ans.deg += b;
+    }
+
+    /* return normalized result */
+    ans = fixdms(ans);
+    return ans;
+}
+
+
+define dms_neg(a)
+{
+    local obj dms ans;		/* return value */
+
+    /* negate argument */
+    if (istype(a, ans)) {
+	/* 1st arg is dms object, load it */
+	ans.deg = -a.deg;
+	ans.min = -a.min;
+	ans.sec = -a.sec;
+    } else {
+	/* 2nd arg is not dms, negate scalar degrees */
+	ans.deg = -a;
+	ans.min = 0;
+	ans.sec = 0;
+    }
+
+    /* return normalized result */
+    ans = fixdms(ans);
+    return ans;
+}
+
+
+define dms_sub(a, b)
+{
+    local obj dms ans;		/* return value */
+
+    /* initalize value to 1st arg */
+    if (istype(a, ans)) {
+	/* 1st arg is dms object, load it */
+	ans.deg = a.deg;
+	ans.min = a.min;
+	ans.sec = a.sec;
+    } else {
+	/* 1st arg is not dms, assume scalar degrees */
+	ans.deg = a;
+	ans.min = 0;
+	ans.sec = 0;
+    }
+
+    /* subtract value of 2nd arg */
+    if (istype(b, ans)) {
+	/* 2nd arg is dms object, subtract it */
+	ans.deg -= b.deg;
+	ans.min -= b.min;
+	ans.sec -= b.sec;
+    } else {
+	/* 2nd arg is not dms, subtract scalar degrees */
+	ans.deg -= b;
+    }
+
+    /* return normalized result */
+    ans = fixdms(ans);
+    return ans;
+}
+
+
+define dms_mul(a, b)
+{
+    local obj dms ans;		/* return value */
+
+    /* dms object multiplication */
+    if (istype(a, ans) && istype(b, ans)) {
+	ans.deg = dms_abs(a) * dms_abs(b);
+	ans.min = 0;
+	ans.sec = 0;
+
+    /* scalar multiplication */
+    } else if (istype(a, ans)) {
+	ans.deg = a.deg * b;
+	ans.min = a.min * b;
+	ans.sec = a.sec * b;
+    } else {
+	ans.deg = b.deg * a;
+	ans.min = b.min * a;
+	ans.sec = b.sec * a;
+    }
+
+    /* return normalized result */
+    ans = fixdms(ans);
+    return ans;
+}
+
+
+define dms_print(a)
+{
+    local obj dms ans;		/* temp object for dms type testing */
+
+    /* firewall - arg must be a dms object */
+    if (! istype(a, ans)) {
+	quit "dms_print called with non dms object";
+    }
+
+    /* print in dms form */
+    print a.deg : 'd' : a.min : 'm' : a.sec : 's' :;
+}
+
+
+define dms_abs(a)
+{
+    local obj dms ans;		/* temp object for dms type testing */
+    local deg;			/* return scalar value */
+
+    /* firewall - just absolute value non dms objects */
+    if (! istype(a, ans)) {
+    	return abs(a);
+    }
+
+    /* compute degrees */
+    deg = a.deg + a.min / 60 + a.sec / 3600;
+
+    /* return degrees */
+    return deg;
+}
+
+
+define dms_norm(a)
+{
+    local obj dms ans;		/* temp object for dms type testing */
+    local deg;			/* degrees */
+
+    /* firewall - arg must be a dms object */
+    if (! istype(a, ans)) {
+	quit "dms_norm called with non dms object";
+    }
+
+    /* square degrees (norm is the square of absolute value */
+    deg = dms_abs(a);
+
+    /* return degrees */
+    return deg*deg;
+}
+
+
+define dms_test(a)
+{
+    local obj dms ans;		/* temp value */
+
+    /* firewall - arg must be a dms object */
+    if (! istype(a, ans)) {
+	quit "dms_test called with non dms object";
+    }
+
+    /* return false of non-zero */
+    ans = fixdms(a);
+    if (ans.deg == 0 && ans.min == 0 && ans.sec == 0) {
+	/* false */
+	return 0;
+    }
+    /* true */
+    return 1;
+}
+
+
+define dms_int(a)
+{
+    local obj dms ans;		/* return value */
+
+    /* firewall - arg must be a dms object */
+    if (! istype(a, ans)) {
+	quit "dms_int called with non dms object";
+    }
+
+    /* normalize the argument */
+    ans = fixdms(a);
+
+    /* truncate to the nearest second */
+    ans.sec = int(ans.sec);
+
+    /* return value to the nearest second */
+    return ans;
+}
+
+
+define dms_frac(a)
+{
+    local obj dms ans;		/* return value */
+
+    /* firewall - arg must be a dms object */
+    if (! istype(a, ans)) {
+	quit "dms_frac called with non dms object";
+    }
+
+    /* normalize the argument */
+    ans = fixdms(a);
+
+    /* remove all but fractional seconds */
+    ans.deg = 0;
+    ans.min = 0;
+    ans.sec = frac(ans.sec);
+
+    /* return value to the second fraction */
+    return ans;
+}
+
+
+define dms_rel(a,b)
+{
+    local abs_a, abs_b;		/* scalars of the arguments */
+
+    /* compute scalars of the arguments */
+    abs_a = dms_abs(a);
+    abs_b = dms_abs(b);
+
+    /* return the comparison */
+    return cmp(abs_a, abs_b);
+}
+
+
+define dms_cmp(a,b)
+{
+    local abs_a, abs_b;		/* scalars of the arguments */
+
+    /* compute scalars of the arguments */
+    abs_a = dms_abs(a);
+    abs_b = dms_abs(b);
+
+    /* return the equality comparison */
+    return (abs_a == abs_b);
+}
+
+
+define dms_inc(a)
+{
+    local obj dms ans;		/* return value */
+
+    /* increment a dms object */
+    if (istype(a, ans)) {
+	ans = a;
+	++ans.sec;
+
+	/* return normalized result */
+	ans = fixdms(ans);
+	return ans;
+    }
+
+    /* increment a scalar */
+    return a+1;
+}
+
+
+define dms_dec(a)
+{
+    local obj dms ans;		/* return value */
+
+    /* decrement a dms object */
+    if (istype(a, ans)) {
+	ans = a;
+	--ans.sec;
+
+	/* return normalized result */
+	ans = fixdms(ans);
+	return ans;
+    }
+
+    /* decrement a scalar */
+    return a-1;
+}
+
+
+define fixdms(a)
+{
+    local obj dms ans;		/* temp value */
+
+    /* firewall */
+    if (! istype(a, ans)) {
+	quit "attempt to fix a non dms object";
+    }
+
+    /* force minutes to be intergral */
+    a.min += frac(a.deg) * 60;
+    a.deg = int(a.deg);
+
+    /* force degrees to be intergral */
+    a.sec += frac(a.min) * 60;
+    a.min = int(a.min);
+
+    /* carry excess seconds into minutes */
+    a.min += a.sec // 60;
+    a.sec %= 60;
+
+    /* carry excess minutes into degrees */
+    a.deg += a.min // 60;
+    a.min %= 60;
+
+    /* round degrees :-) */
+    a.deg %= 360;
+
+    /* return normalized result */
+    return a;
+}
+
+if (config("resource_debug") & 3) {
+    print "obj dms {deg, min, sec} defined";
+}

cal/dotest.cal

@@ -0,0 +1,193 @@
+/*
+ * dotest - test truth statements found in line tests of dotest_testline file
+ *
+ * This file was created by Ernest Bowen <ebowen at une dot edu dot au>
+ * and modified by Landon Curt Noll.
+ *
+ * This dotest_code has been placed in the public domain.  Please do not
+ * copyright this dotest_code.
+ *
+ * ERNEST BOWEN AND LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO
+ * THIS	 SOFTWARE,  INCLUDING  ALL IMPLIED WARRANTIES OF MER-
+ * CHANTABILITY AND FITNESS.  IN NO EVENT SHALL	 LANDON	 CURT
+ * NOLL	 BE LIABLE FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL
+ * DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM  LOSS  OF
+ * USE,	 DATA  OR  PROFITS, WHETHER IN AN ACTION OF CONTRACT,
+ * NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR  IN
+ * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: dotest.cal,v 30.2 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/dotest.cal,v $
+ *
+ * This file is not covered under version 2.1 of the GNU LGPL.
+ *
+ * Under source dotest_code control:	2006/03/08 05:54:09
+ * File existed as early as:	2006
+ */
+
+
+/*
+ * dotest - perform tests from dotest_testline file
+ *
+ * given:
+ *	dotest_file	filename containing single test lines
+ *	dotest_code	regress.cal test number to use (def: 0)
+ *	dotest_maxcond	max error conditions allowed (def: <0 ==> 2^31-1)
+ *
+ * returns:
+ *	number of line test failures
+ *
+ * NOTE: All variables used by the dotest() function start with "dotest_".
+ *	 The dotest_file and dotest_read should not use any variable
+ *	 that starts with "dotest_".
+ */
+define dotest(dotest_file, dotest_code = 0, dotest_maxcond = -1)
+{
+    local dotest_f_file;	/* open file containing test lines */
+    local dotest_testline;	/* test line */
+    local dotest_testeval;	/* eval value from dotest_testline test line */
+    local dotest_tmperrcnt;	/* temp error count after line test */
+    local dotest_errcnt;	/* total number of errors */
+    local dotest_failcnt;	/* number of line tests failed */
+    local dotest_testnum;	/* number of test lines evaluated */
+    local dotest_linenum;	/* test line number */
+    local dotest_old_errmax;	/* value of errmax() prior to calling */
+    local dotest_old_errcount;	/* value of errcount() prior to calling */
+
+    /*
+     * preserve calling stats
+     */
+    dotest_old_errmax = errmax();
+    dotest_old_errcount = errcount(0);
+
+    /*
+     * initialize test accounting
+     */
+    dotest_errcnt = errcount();
+    dotest_failcnt = 0;
+    dotest_testnum = 0;
+    dotest_linenum = 0;
+
+    /*
+     * setup error accounting for dotest
+     */
+    if (dotest_maxcond >= 0 && dotest_maxcond < 2147483647) {
+	    errmax(dotest_maxcond + dotest_old_errcount + 1),;
+    } else {
+	    errmax(2147483647),;
+    }
+
+    /*
+     * open the test line file
+     */
+    printf("%d-: opening line file: %d", dotest_code, dotest_file);
+    dotest_f_file = fpathopen(dotest_file, "r");
+    if (!isfile(dotest_f_file)) {
+	printf("**** Unable to file or open file \"%s\"\n",
+		dotest_file);
+	quit;
+    }
+    printf('%d: testing "%s"\n', dotest_code, dotest_file);
+
+    /*
+     * perform dotest_testline test on each line of the file
+     */
+    for (;;) {
+
+	/* get the next test line */
+	dotest_testline = fgets(dotest_f_file);
+	++dotest_linenum;
+	if (iserror(dotest_testline)) {
+	    quit "**** Error while reading file";
+	} else if (isnull(dotest_testline)) {
+	    /* EOF - end of test file */
+	    break;
+	}
+
+	/* skip empty lines */
+	if (dotest_testline == "\n") {
+	    continue;
+	}
+
+	/* evaluate the test line */
+	dotest_testeval = eval(dotest_testline);
+
+	/* ignore white space or comment lines */
+	if (isnull(dotest_testeval)) {
+	    continue;
+	}
+
+	/* look for test line parse errors */
+	if (iserror(dotest_testeval)) {
+	    printf("**** evaluation error: ");
+	    ++dotest_failcnt;
+
+	/* look for test line dotest_failcnt */
+	} else if (dotest_testeval != 1) {
+	    printf("**** did not return 1: ");
+	    ++dotest_failcnt;
+	}
+
+	/* show the test line we just performed */
+	printf("%d-%d: %s", dotest_code, dotest_linenum, dotest_testline);
+
+	/* error accounting */
+	dotest_tmperrcnt = errcount() - dotest_errcnt;
+	if (dotest_tmperrcnt > 0) {
+
+	    /* report any other errors */
+	    if (dotest_tmperrcnt > 1) {
+		printf("%d-%d: NOTE: %d error conditions(s): %s\n",
+		    dotest_code, dotest_linenum, dotest_tmperrcnt);
+	    }
+
+	    /* report the calc error string */
+	    printf("%d-%d: NOTE: last error string: %s\n",
+	        dotest_code, dotest_linenum, strerror());
+
+	    /* new error count level */
+	    dotest_errcnt = errcount();
+	    if (dotest_maxcond >= 0 &&
+	        dotest_old_errcount-dotest_errcnt > dotest_maxcond) {
+		printf("%d-%d: total error conditions: %d > %d\n",
+		       dotest_code, dotest_linenum,
+		       dotest_maxcond, dotest_old_errcount-dotest_errcnt);
+	    }
+	}
+    }
+
+    /*
+     * test the close of the line file
+     */
+    printf("%d-: detected %d error condition(s), many of which may be OK\n",
+    	   dotest_code, dotest_old_errcount-dotest_errcnt);
+    printf("%d-: closing line file: %d\n", dotest_code, dotest_file);
+    fclose(dotest_f_file);
+
+    /*
+     * test line file accounting
+     */
+    if (dotest_failcnt > 0) {
+	printf("**** %d-: %d test failure(s) in %d line(s)\n",
+	    dotest_code, dotest_failcnt, dotest_linenum);
+    } else {
+	printf("%d-: no failure(s) in %d line(s)\n",
+	    dotest_code, dotest_linenum);
+    }
+
+    /*
+     * preppare to return to the caller environment
+     *
+     * We increase the caller's error count by the number
+     * of line tests that failed, not the number of internal
+     * errors that were noted.
+     */
+    errmax(dotest_old_errmax),;
+    errcount(dotest_old_errcount + dotest_failcnt),;
+
+    /*
+     * All Done!!! -- Jessica Noll, Age 2
+     */
+    return dotest_failcnt;
+}

cal/ellip.cal

@@ -1,18 +1,44 @@
 /*
- * Copyright (c) 1995 David I. Bell
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * ellip - attempt to factor numbers using elliptic functions
  *
- * Attempt to factor numbers using elliptic functions.
- *	y^2 = x^3 + a*x + b   (mod N).
+ * Copyright (C) 1999  David I. Bell
  *
- * Many points (x,y) (mod N) are found that solve the above equation,
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: ellip.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/ellip.cal,v $
+ *
+ * Under source code control:	1990/02/15 01:50:33
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * Attempt to factor numbers using elliptic functions:
+ *
+ *	y^2 = x^3 + a*x + b   (mod ellip_N).
+ *
+ * Many points (x,y) (mod ellip_N) are found that solve the above equation,
  * starting from a trivial solution and 'multiplying' that point together
  * to generate high powers of the point, looking for such a point whose
- * order contains a common factor with N.  The order of the group of points
- * varies almost randomly within a certain interval for each choice of a
- * and b, and thus each choice provides an independent opportunity to
- * factor N.  To generate a trivial solution, a is chosen and then b is
+ * order contains a common factor with ellip_N.  The order of the group of
+ * points varies almost randomly within a certain interval for each choice of
+ * a and b, and thus each choice provides an independent opportunity to
+ * factor ellip_N.  To generate a trivial solution, a is chosen and then b is
  * selected so that (1,1) is a solution.  The multiplication is done using
  * the basic fact that the equation is a cubic, and so if a line hits the
  * curve in two rational points, then the third intersection point must
@@ -20,9 +46,9 @@
  * the number of rational solutions can be made very large.  When modular
  * arithmetic is used, solving for the third point requires the taking of a
  * modular inverse (instead of division), and if this fails, then the GCD
- * of the failing value and N provides a factor of N.  This description is
- * only an approximation, read "A Course in Number Theory and Cryptography"
- * by Neal Koblitz for a good explanation.
+ * of the failing value and ellip_N provides a factor of ellip_N.
+ * This description is only an approximation, read "A Course in Number
+ * Theory and Cryptography" by Neal Koblitz for a good explanation.
  *
  * efactor(iN, ia, B, force)
  *	iN is the number to be factored.
@@ -56,14 +82,15 @@
  *
  * If a factor is found, it is returned and is also saved in the global
  * variable f.	The number being factored is also saved in the global
- * variable N.
+ * variable ellip_N.
  */
 
+
 obj point {x, y};
-global	N;		/* number to factor */
-global	a;		/* first coefficient */
-global	b;		/* second coefficient */
-global	f;		/* found factor */
+global	ellip_N;		/* number to factor */
+global	ellip_a;		/* first coefficient */
+global	ellip_b;		/* second coefficient */
+global	ellip_f;		/* found factor */
 
 
 define efactor(iN, ia, B, force)
@@ -77,28 +104,28 @@ define efactor(iN, ia, B, force)
 	if (isnull(ia))
 		ia = 1;
 	obj point x;
-	a = ia;
-	b = -ia;
-	N = iN;
-	C = isqrt(N);
+	ellip_a = ia;
+	ellip_b = -ia;
+	ellip_N = iN;
+	C = isqrt(ellip_N);
 	C = 2 * C + 2 * isqrt(C) + 1;
-	f = 0;
-	while (f == 0) {
-		print "A =", a;
+	ellip_f = 0;
+	while (ellip_f == 0) {
+		print "A =", ellip_a;
 		x.x = 1;
 		x.y = 1;
 		print 2, x;
 		x = x ^ (2 ^ (highbit(C) + 1));
-		for (p = 3; ((p < B) && (f == 0)); p += 2) {
+		for (p = 3; ((p < B) && (ellip_f == 0)); p += 2) {
 			if (!ptest(p, 1))
 				continue;
 			print p, x;
 			x = x ^ (p ^ ((highbit(C) // highbit(p)) + 1));
 		}
-		a++;
-		b--;
+		ellip_a++;
+		ellip_b--;
 	}
-	return f;
+	return ellip_f;
 }
 
 
@@ -115,18 +142,18 @@ define point_mul(p1, p2)
 	if (p2 == 1)
 		return p1;
 	if (p1 == p2)
-		return point_square(&p1);
+		return point_square(`p1);
 	obj point r;
-	m = (minv(p2.x - p1.x, N) * (p2.y - p1.y)) % N;
+	m = (minv(p2.x - p1.x, ellip_N) * (p2.y - p1.y)) % ellip_N;
 	if (m == 0) {
-		if (f == 0)
-			f = gcd(p2.x - p1.x, N);
+		if (ellip_f == 0)
+			ellip_f = gcd(p2.x - p1.x, ellip_N);
 		r.x = 1;
 		r.y = 1;
 		return r;
 	}
-	r.x = (m^2 - p1.x - p2.x) % N;
-	r.y = ((m * (p1.x - r.x)) - p1.y) % N;
+	r.x = (m^2 - p1.x - p2.x) % ellip_N;
+	r.y = ((m * (p1.x - r.x)) - p1.y) % ellip_N;
 	return r;
 }
 
@@ -136,16 +163,16 @@ define point_square(p)
 	local	r, m;
 
 	obj point r;
-	m = ((3 * p.x^2 + a) * minv(p.y << 1, N)) % N;
+	m = ((3 * p.x^2 + ellip_a) * minv(p.y << 1, ellip_N)) % ellip_N;
 	if (m == 0) {
-		if (f == 0)
-			f = gcd(p.y << 1, N);
+		if (ellip_f == 0)
+			ellip_f = gcd(p.y << 1, ellip_N);
 		r.x = 1;
 		r.y = 1;
 		return r;
 	}
-	r.x = (m^2 - p.x - p.x) % N;
-	r.y = ((m * (p.x - r.x)) - p.y) % N;
+	r.x = (m^2 - p.x - p.x) % ellip_N;
+	r.y = ((m * (p.x - r.x)) - p.y) % ellip_N;
 	return r;
 }
 
@@ -158,10 +185,10 @@ define point_pow(p, pow)
 	if (isodd(pow))
 		r = p;
 	t = p;
-	for (bit = 2; ((bit <= pow) && (f == 0)); bit <<= 1) {
-		t = point_square(&t);
+	for (bit = 2; ((bit <= pow) && (ellip_f == 0)); bit <<= 1) {
+		t = point_square(`t);
 		if (bit & pow)
-			r = point_mul(&t, &r);
+			r = point_mul(`t, `r);
 	}
 	return r;
 }

cal/factorial.cal

@@ -0,0 +1,204 @@
+/*
+ * factorial - implementation of different algorithms for the factorial
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.4 $
+ * @(#) $Id: factorial.cal,v 30.4 2013/08/18 20:01:53 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/factorial.cal,v $
+ *
+ * Under source code control:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+/*
+ * hide internal function from resource debugging
+ */
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+/*
+  get dependencies
+*/
+read -once toomcook;
+
+
+/* A simple list to keep things...uhm...simple?*/
+static __CZ__primelist = list();
+
+/* Helper for primorial: fill list with primes in range a,b */
+define __CZ__fill_prime_list(a,b)
+{
+  local k;
+  k=a;
+  if(isprime(k))k--;
+  while(1){
+    k = nextprime(k);
+    if(k > b) break;
+    append(__CZ__primelist,k );
+  }
+}
+
+/* Helper for factorial: how often prime p divides the factorial of n */
+define __CZ__prime_divisors(n,p)
+{
+    local q,m;
+    q = n;
+    m = 0;
+    if (p > n) return 0;
+    if (p > n/2) return 1;
+    while (q >= p) {
+        q  = q//p;
+        m += q;
+    }
+    return m;
+}
+
+/*
+  Wrapper. Please set cut-offs to own taste and hardware.
+*/
+define factorial(n){
+  local prime result shift prime_list k k1 k2 expo_list pix cut primorial;
+
+  result = 1;
+  prime  = 2;
+
+  if(!isint(n))  {
+    return newerror("factorial(n): n is not an integer"); ## or gamma(n)?
+  }
+  if(n < 0)      return newerror("factorial(n): n < 0");
+  if(n < 9000 && !isdefined("test8900"))   {
+    ## builtin is implemented with splitting but only with
+    ## Toom-Cook 2 (by Karatsuba (the father))
+    return n!;
+  }
+
+  shift = __CZ__prime_divisors(n,prime);
+  prime = 3;
+  cut = n//2;
+  pix   = pix(cut);
+  prime_list = mat[pix];
+  expo_list  = mat[pix];
+
+  k = 0;
+/*
+  Peter Borwein's algorithm
+
+  @Article{journals/jal/Borwein85,
+  author = {Borwein, Peter B.},
+  title  = {On the Complexity of Calculating Factorials.},
+  journal = {J. Algorithms},
+  year   = {1985},
+  number = {3},
+  url    = {http://dblp.uni-trier.de/db/journals/jal/jal6.html#Borwein85}
+*/
+
+  do {
+    prime_list[k]  = prime;
+    expo_list[k++] = __CZ__prime_divisors(n,prime);
+    prime          = nextprime(prime);
+  }while(prime <= cut);
+
+  /* size of the largest exponent in bits  */
+  k1 = highbit(expo_list[0]);
+  k2 = size(prime_list)-1;
+
+  for(;k1>=0;k1--){
+    /*
+       the cut-off for T-C-4 ist still to low, using T-C-3 here
+       TODO: check cutoffs
+     */
+    result = toomcook3square(result);
+    /*
+      almost all time is spend in this loop, so cutting of the
+      upper half of the primes makes sense
+    */
+    for(k=0; k<=k2; k++) {
+      if((expo_list[k] & (1 << k1)) != 0) {
+        result *= prime_list[k];
+      }
+    }
+
+  }
+  primorial = primorial( cut, n);
+  result *= primorial;
+  result <<= shift;
+  return result;
+}
+
+/*
+  Helper for primorial: do the product with binary splitting
+  TODO: do it without the intermediate list
+*/
+define __CZ__primorial__lowlevel( a, b ,p)
+{
+  local  c;
+  if( b == a) return p ;
+  if( b-a > 1){
+    c= (b + a) >> 1;
+    return  __CZ__primorial__lowlevel( a   , c , __CZ__primelist[a] )
+         *  __CZ__primorial__lowlevel( c+1 , b , __CZ__primelist[b] ) ;
+  }
+  return  __CZ__primelist[a] * __CZ__primelist[b];
+}
+
+/*
+   Primorial, Product of consecutive primes in range a,b
+
+  Originally meant to do primorials with a start different from 2, but
+  found out that this is faster at about a=1,b>=10^5 than the builtin
+  function pfact().  With the moderately small list a=1,b=10^6 (78498
+  primes) it is 3 times faster.  A quick look-up showed what was already
+  guessed: pfact() does it linearly.  (BTW: what is the time complexity
+  of the primorial with the naive algorithm?)
+*/
+define primorial(a,b)
+{
+  local C1 C2;
+  if(!isint(a)) return newerror("primorial(a,b): a is not an integer");
+  else if(!isint(b)) return newerror("primorial(a,b): b is not an integer");
+  else if(a < 0) return newerror("primorial(a,b): a < 0");
+  else if( b < 2 ) return newerror("primorial(a,b): b < 2");
+  else if( b < a) return newerror("primorial(a,b): b < a");
+  else{
+    /* last prime < 2^32 is also  max. prime for nextprime()*/
+    if(b >= 4294967291) return newerror("primorial(a,b): max. prime exceeded");
+    if(b ==  2) return 2;
+    /*
+      Can be extended by way of pfact(b)/pfact(floor(a-1/2)) for small a
+     */
+    if(a<=2 && b < 10^5) return pfact(b);
+    /* TODO: use pix() and a simple array (mat[])instead*/
+     __CZ__primelist = list();
+     __CZ__fill_prime_list(a,b);
+    C1 = size(__CZ__primelist)-1;
+    return __CZ__primorial__lowlevel( 0, C1,1)
+  }
+}
+
+
+/*
+ * restore internal function from resource debugging
+ * report important interface functions
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "factorial(n)";
+    print "primorial(a, b)";
+}

cal/factorial2.cal

@@ -0,0 +1,723 @@
+/*
+ * factorial2 - implementation of different factorial related functions
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.4 $
+ * @(#) $Id: factorial2.cal,v 30.4 2013/08/18 20:01:53 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/factorial2.cal,v $
+ *
+ * Under source code control:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+/*
+ * hide internal function from resource debugging
+ */
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+/*
+  get dependencies
+*/
+read -once factorial toomcook specialfunctions;
+
+
+/*
+  Factorize a factorial and put the result in a 2-column matrix with pi(n) rows
+  mat[ primes , exponent ]
+  Result can be restricted to start at a prime different from 2 with the second
+  argument "start". That arguments gets taken at face value if it prime and
+  smaller than n, otherwise the next larger prime is taken if that prime is
+  smaller than n.
+*/
+
+define __CZ__factor_factorial(n,start){
+  local prime prime_list k pix stop;
+
+
+  if(!isint(n)) return
+    newerror("__CZ__factor_factorial(n,start): n is not integer");
+  if(n <  0)    return newerror("__CZ__factor_factorial(n,start): n < 0");
+  if(n == 1)    return newerror("__CZ__factor_factorial(n,start): n == 1");
+
+  if(start){
+    if(!isint(start) && start < 0 && start > n)
+      return newerror("__CZ__factor_factorial(n,start): value of "
+      		      "parameter 'start' out of range");
+    if(start == n && isprime(n)){
+      prime_list = mat[1 , 2];
+      prime_list[0,0] = n;
+      prime_list[0,1] = 1;
+    }
+    else if(!isprime(start) && nextprime(start) >n)
+      return newerror("__CZ__factor_factorial(n,start): value of parameter "
+      		      "'start' out of range");
+    else{
+      if(!isprime(start))  prime = nextprime(start);
+      else prime = start;
+    }
+  }
+  else
+    prime = 2;
+
+  pix   = pix(n);
+  if(start){
+    pix -= pix(prime) -1;
+  }
+  prime_list = mat[pix , 2];
+
+  k = 0;
+
+  do {
+    prime_list[k  ,0] = prime;
+    prime_list[k++,1] = __CZ__prime_divisors(n,prime);
+    prime          = nextprime(prime);
+  }while(prime <= n);
+
+  return prime_list;
+}
+
+/*
+
+  subtracts exponents of n_1! from exponents of n_2! with n_1<=n_2
+
+  Does not check for size or consecutiveness of the primes or a carry
+*/
+
+define __CZ__subtract_factored_factorials(matrix_2n,matrix_n){
+  local k ret len1,len2,tmp count p e;
+  len1 = size(matrix_n)/2;
+  len2 = size(matrix_2n)/2;
+  if(len2<len1){
+
+    swap(len1,len2);
+    tmp = matrix_n;
+    matrix_n = matrix_2n;
+    matrix_2n = tmp;
+  }
+  tmp = mat[len1,2];
+  k   = 0;
+
+  for(;k<len1;k++){
+     p = matrix_2n[k,0];
+     e = matrix_2n[k,1] - matrix_n[k,1];
+     if(e!=0){
+       tmp[count  ,0] = p;
+       tmp[count++,1] = e;
+     }
+  }
+  ret = mat[count + (len2-len1),2];
+  for(k=0;k<count;k++){
+     ret[k,0] = tmp[k,0];
+     ret[k,1] = tmp[k,1];
+  }
+
+  free(tmp);
+  for(k=len1;k<len2;k++){
+     ret[count,0] = matrix_2n[k,0];
+     ret[count++,1] = matrix_2n[k,1];
+  }
+  return ret;
+}
+
+/*
+
+  adds exponents of n_1! to exponents of n_2! with n_1<=n_2
+
+  Does not check for size or consecutiveness of the primes or a carry
+*/
+
+define __CZ__add_factored_factorials(matrix_2n,matrix_n){
+  local k ret len1,len2,tmp;
+  len1 = size(matrix_n)/2;
+  len2 = size(matrix_2n)/2;
+  if(len2<len1){
+    swap(len1,len2);
+    tmp = matrix_n;
+    matrix_n = matrix_2n;
+    matrix_2n = tmp;
+  }
+  ret = mat[len2,2];
+  k   = 0;
+  for(;k<len1;k++){
+     ret[k,0] = matrix_2n[k,0];
+     ret[k,1] = matrix_2n[k,1] + matrix_n[k,1];
+  }
+  for(;k<len2;k++){
+     ret[k,0] = matrix_2n[k,0];
+     ret[k,1] = matrix_2n[k,1];
+  }
+  return ret;
+}
+
+/*
+   Does not check if all exponents are positive
+
+
+                   timings
+                   this		  comb	    comb-this     rel. k/n
+;  benchmark_binomial(10,13)
+n=2^13 k=2^10 	 0.064004 	 0.016001	+ 	0.76923076923076923077
+n=2^13 k=2^11 	 0.064004 	 0.048003	+ 	0.84615384615384615385
+n=2^13 k=2^12 	 0.068004 	 0.124008	- 	0.92307692307692307692
+;  benchmark_binomial(10,15)
+n=2^15 k=2^10 	 0.216014 	 0.024001	+ 	0.66666666666666666667
+n=2^15 k=2^11 	 0.220014 	 0.064004	+ 	0.73333333333333333333
+n=2^15 k=2^12 	 0.228014 	 0.212014	+ 	0.8
+n=2^15 k=2^13 	 0.216013 	 0.664042	- 	0.86666666666666666667
+n=2^15 k=2^14 	 0.240015 	 1.868117	- 	0.93333333333333333333
+;  benchmark_binomial(11,15)
+n=2^15 k=2^11 	 0.216014 	 0.068004	+ 	0.73333333333333333333
+n=2^15 k=2^12 	 0.236015 	 0.212013	+ 	0.8
+n=2^15 k=2^13 	 0.216013 	 0.656041	- 	0.86666666666666666667
+n=2^15 k=2^14 	 0.244016 	 1.872117	- 	0.93333333333333333333
+;  benchmark_binomial(11,18)
+n=2^18 k=2^11 	 1.652103 	 0.100006	+ 	0.61111111111111111111
+n=2^18 k=2^12 	 1.608101 	 0.336021	+ 	0.66666666666666666667
+n=2^18 k=2^13 	 1.700106 	 1.140071	+ 	0.72222222222222222222
+n=2^18 k=2^14 	 1.756109 	 3.924245	- 	0.77777777777777777778
+n=2^18 k=2^15 	 2.036127 	 13.156822	- 	0.83333333333333333333
+n=2^18 k=2^16 	 2.172135 	 41.974624	- 	0.88888888888888888889
+n=2^18 k=2^17 	 2.528158 	 121.523594	- 	0.94444444444444444444
+;  benchmark_binomial(15,25)
+n=2^25 k=2^15 	 303.790985 	 38.266392	+ 	0.6
+;  benchmark_binomial(17,25)
+n=2^25 k=2^17 	 319.127944 	 529.025062	- 	0.68
+*/
+
+define benchmark_binomial(s,limit){
+  local ret k A B T1 T2 start end N K;
+    N = 2^(limit);
+  for(k=s;k<limit;k++){
+    K = 2^k;
+   start=usertime();A=binomial(N,K);end=usertime();
+   T1 = end-start;
+   start=usertime();B=comb(N,K);end=usertime();
+   T2 = end-start;
+   print "n=2^"limit,"k=2^"k,"	",T1,"	",T2,T1<T2?"-":"+","	"k/limit;
+   if(A!=B){
+     print "false";
+    break;
+   }
+  }
+}
+
+define __CZ__multiply_factored_factorial(matrix,stop){
+  local prime result shift prime_list k k1 k2 expo_list pix count start;
+  local hb flag;
+
+  result = 1;
+  shift  = 0;
+
+
+  if(!ismat(matrix))
+   return newerror("__CZ__multiply_factored_factorial(matrix): "
+   		   "argument matrix not a matrix ");
+  if(!matrix[0,0])
+    return
+      newerror("__CZ__multiply_factored_factorial(matrix): "
+      	       "matrix[0,0] is null/0");
+
+  if(!isnull(stop))
+    pix = stop;
+  else
+    pix   = size(matrix)/2-1;
+
+  if(matrix[0,0] == 2 && matrix[0,1] > 0){
+    shift = matrix[0,1];
+    if(pix-1 == 0)
+      return 2^matrix[0,1];
+  }
+
+  /*
+    This is a more general way to do the multiplication, so any optimization
+    must have been done by the caller.
+  */
+  k = 0;
+  /*
+     The size of the largest exponent in bits is calculated dynamically.
+     Can be done more elegantly and saves one run over the whole array if done
+     inside the main loop.
+   */
+  hb =0;
+  for(k=0;k<pix;k++){
+    k1=highbit(matrix[k,1]);
+    if(hb < k1)hb=k1;
+  }
+
+  k2 = pix;
+  start = 0;
+  if(shift) start++;
+
+  for(k1=hb;k1>=0;k1--){
+    /*
+       the cut-off for T-C-4 ist still too low, using T-C-3 here
+       TODO: check cutoffs
+     */
+    result = toomcook3square(result);
+
+    for(k=start; k<=k2; k++) {
+      if((matrix[k,1] & (1 << k1)) != 0) {
+        result *= matrix[k,0];
+      }
+    }
+  }
+
+  result <<= shift;
+  return result;
+}
+
+/*
+    Compute binomial coeficients n!/(k!(n-k)!)
+
+    One of the rare cases where a formula once meant to ease manual computation
+    is actually the (aymptotically) fastest way to do it (in July 2013) for
+    the extreme case binomial(2N,N) but for a high price, the memory
+    needed is pi(N)--theoretically.
+*/
+define binomial(n,k){
+  local ret factored_n factored_k factored_nk denom num quot K prime_list prime;
+  local pix diff;
+
+  if(!isint(n) || !isint(k))
+    return newerror("binomial(n,k): input is not integer");
+  if(n<0 || k<0)
+    return newerror("binomial(n,k): input is not >= 0"); ;
+  if(n<k )   return 0;
+  if(n==k)   return 1;
+  if(k==0)   return 1;
+  if(k==1)   return n;
+  if(n-k==1) return n;
+  /*
+      cut-off depends on real size of n,k and size of n/k
+      The current cut-off is to small for large n, e.g.:
+      for 2n=2^23, k=n-n/2 the quotient is q=2n/k=0.25. Empirical tests showed
+      that 2n=2^23 and k=2^16  with q=0.0078125 are still faster than the
+      builtin function.
+
+      The symmetry (n,k) = (n,n-k) is of not much advantage here. One way
+      might be to get closer to k=n/2 if k<n-k but only if the difference
+      is small and n very large.
+   */
+  if(n<2e4 && !isdefined("test8900"))  return comb(n,k);
+  if(n<2e4 && k< n-n/2 && !isdefined("test8900")) return comb(n,k);
+  /*
+    This should be done in parallel to save some memory, e.g. no temporary
+    arrays are needed, all can be done inline.
+    The theoretical memory needed is pi(k).
+    Which is still a lot.
+  */
+
+  prime = 2;
+  pix   = pix(n);
+  prime_list = mat[pix , 2];
+  K = 0;
+  do {
+    prime_list[K  ,0] = prime;
+    diff = __CZ__prime_divisors(n,prime)-
+	   ( __CZ__prime_divisors(n-k,prime)+__CZ__prime_divisors(k,prime));
+    if(diff != 0)
+      prime_list[K++,1] = diff;
+    prime          = nextprime(prime);
+  }while(prime <= k);
+
+  do {
+    prime_list[K  ,0] = prime;
+    diff = __CZ__prime_divisors(n,prime)-__CZ__prime_divisors(n-k,prime);
+    if(diff != 0)
+      prime_list[K++,1] = diff;
+    prime          = nextprime(prime);
+  }while(prime <= n-k);
+
+  do {
+    prime_list[K  ,0] = prime;
+    prime_list[K++,1] = __CZ__prime_divisors(n,prime);
+    prime          = nextprime(prime);
+  }while(prime <= n);
+  ##print K,pix(k),pix(n-k),pix(n);
+  ##factored_k  = __CZ__factor_factorial(k,1);
+  ##factored_nk = __CZ__factor_factorial(n-k,1);
+
+  ##denom = __CZ__add_factored_factorials(factored_k,factored_nk);
+    ##free(factored_k,factored_nk);
+  ##num  = __CZ__factor_factorial(n,1);
+  ##quot  = __CZ__subtract_factored_factorials( num , denom );
+    ##free(num,denom);
+
+  ret = __CZ__multiply_factored_factorial(`prime_list,K-1);
+
+  return ret;
+}
+
+/*
+    Compute large catalan numbers  C(n) = binomial(2n,n)/(n+1) with
+    cut-off: (n>5e4)
+    Needs a lot of memory.
+*/
+define bigcatalan(n){
+  if(!isint(n) )return newerror("bigcatalan(n): n is not integer");
+  if( n<0) return newerror("bigcatalan(n): n < 0");
+  if( n<5e4 && !isdefined("test8900") ) return catalan(n);
+  return binomial(2*n,n)/(n+1);
+}
+
+/*
+  df(-111) = -1/3472059605858239446587523014902616804783337112829102414124928
+  		7753332469144201839599609375
+
+ df(-3+1i) = 0.12532538977287649201-0.0502372106177184607i
+ df(2n + 1) = (2*n)!/(n!*2^n)
+*/
+define __CZ__double_factorial(n){
+  local n1 n2 diff prime pix K prime_list k;
+  prime = 3;
+  pix   = pix(2*n)+1;
+  prime_list = mat[pix , 2];
+  K = 0;
+  do {
+    prime_list[K  ,0] = prime;
+    diff = __CZ__prime_divisors(2*n,prime)-( __CZ__prime_divisors(n,prime));
+    if(diff != 0)
+      prime_list[K++,1] = diff;
+    prime          = nextprime(prime);
+  }while(prime <= n);
+  do {
+    prime_list[K  ,0] = prime;
+    prime_list[K++,1] = __CZ__prime_divisors(2*n,prime);
+    prime          = nextprime(prime);
+  }while(prime <= 2*n);
+  return __CZ__multiply_factored_factorial(prime_list,K);
+/*
+        n1=__CZ__factor_factorial(2*n,1);
+        n1[0,1] = n1[0,1]-n;
+        n2=__CZ__factor_factorial(n,1);
+        diff=__CZ__subtract_factored_factorials( n1 , n2 );
+        return __CZ__multiply_factored_factorial(diff);
+*/
+}
+
+##1, 1, 3, 15, 105, 945, 10395, 135135, 2027025, 34459425, 654729075,
+##13749310575, 316234143225, 7905853580625, 213458046676875,
+##6190283353629375, 191898783962510625, 6332659870762850625,
+##221643095476699771875, 8200794532637891559375
+
+## 1, 2, 8, 48, 384, 3840, 46080, 645120, 10321920, 185794560,
+##3715891200, 81749606400, 1961990553600, 51011754393600,
+##1428329123020800, 42849873690624000, 1371195958099968000,
+##46620662575398912000, 1678343852714360832000, 63777066403145711616000
+define doublefactorial(n){
+    local n1 n2 diff eps ret;
+    if(!isint(n) ){
+       /*
+           Probably one of the not-so-good ideas. See result of
+            http://www.wolframalpha.com/input/?i=doublefactorial%28a%2Bbi%29
+        */
+       eps=epsilon(epsilon()*1e-2);
+       ret =  2^(n/2-1/4 * cos(pi()* n)+1/4) * pi()^(1/4 *
+       	      cos(pi()* n)-1/4)* gamma(n/2+1);
+       epsilon(eps);
+       return ret;
+    }
+    if(n==2) return 2;
+    if(n==3) return 3;
+    switch(n){
+      case -1:
+      case 0 : return 1;break;
+      case 2 : return 2;break;
+      case 3 : return 3;break;
+      case 4 : return 8;break;
+      default: break;
+    }
+    if(isodd(n)){
+      /*
+        TODO: find reasonable cutoff
+        df(2n + 1) = (2*n)!/(n!*2^n)
+      */
+      if(n>0){
+         n = (n+1)//2;
+         return __CZ__double_factorial(n);
+      }
+      else{
+        if(n == -3 ) return -1;
+        n = ((-n)-1)/2;
+        return ((-1)^-n)/__CZ__double_factorial(n);
+       }
+    }
+    else{
+      /*
+         I'm undecided here. The formula for complex n is valid for the negative
+         integers, too.
+      */
+      n = n>>1;
+      if(n>0){
+        if(!isdefined("test8900"))
+          return factorial(n)<<n;
+        else
+          return n!<<n;
+      }
+      else
+        return newerror("doublefactorial(n): even(n) < 0");
+   }
+}
+
+/*
+    Algorithm 3.17,
+    Donald Kreher and Douglas Simpson,
+    Combinatorial Algorithms,
+    CRC Press, 1998, page 89.
+*/
+static __CZ__stirling1;
+static __CZ__stirling1_n = -1;
+static __CZ__stirling1_m = -1;
+
+define stirling1(n,m){
+  local i j k;
+  if(n<0)return newerror("stirling1(n,m): n <= 0");
+  if(m<0)return newerror("stirling1(n,m): m < 0");
+  if(n<m) return 0;
+  if(n==m) return 1;
+  if(m==0 || n==0) return 0;
+  /* We always use the list */
+  /*
+  if(m=1){
+    if(iseven(n)) return -factorial(n-1);
+    else return factorial(n-1);
+  }
+  if(m == n-1){
+    if(iseven(n)) return -binomial(n,2);
+    else return -binomial(n,2);
+  }
+  */
+  if(__CZ__stirling1_n >= n && __CZ__stirling1_m  >= m){
+    return __CZ__stirling1[n,m];
+  }
+  else{
+    __CZ__stirling1      = mat[n+1,m+1];
+    __CZ__stirling1[0,0] = 1;
+    for(i=1;i<=n;i++)
+      __CZ__stirling1[i,0] = 0;
+    for(i=1;i<=n;i++){
+      for(j=1;j<=m;j++){
+        if(j<=i){
+          __CZ__stirling1[i, j] =   __CZ__stirling1[i - 1, j - 1] - (i - 1)\
+                                  * __CZ__stirling1[i - 1, j];
+        }
+        else{
+         __CZ__stirling1[i, j] = 0;
+        }
+      }
+    }
+    __CZ__stirling1_n = n;
+    __CZ__stirling1_m = m;
+    return __CZ__stirling1[n,m];
+  }
+}
+
+define stirling2(n,m){
+  local k sum;
+  if(n<0)return newerror("stirling2(n,m): n < 0");
+  if(m<0)return newerror("stirling2(n,m): m < 0");
+  if(n<m) return 0;
+  if(n==0 && n!=m) return 0;
+  if(n==m) return 1;
+  if(m==0 )return 0;
+  if(m==1) return 1;
+  if(m==2) return 2^(n-1)-1;
+  /*
+    There are different methods to speed up alternating sums.
+    This one doesn't.
+   */
+  if(isdefined("test8900")){
+    for(k=0;k<=m;k++){
+      sum += (-1)^(m-k)*comb(m,k)*k^n;
+    }
+  return sum/(m!);
+  }
+  else{
+    for(k=0;k<=m;k++){
+      sum += (-1)^(m-k)*binomial(m,k)*k^n;
+    }
+  return sum/factorial(m);
+  }
+}
+
+static __CZ__stirling2;
+static __CZ__stirling2_n = -1;
+static __CZ__stirling2_m = -1;
+define stirling2caching(n,m){
+  local nm i j ;
+  if(n<0)return newerror("stirling2iter(n,m): n < 0");
+  if(m<0)return newerror("stirling2iter(n,m): m < 0");
+  /* no shortcuts here */
+
+  if(n<m) return 0;
+  if(n==0 && n!=m) return 0;
+  if(n==m) return 1;
+  if(m==0 )return 0;
+  if(m==1) return 1;
+  if(m==2) return 2^(n-1)-1;
+
+  nm = n-m;
+  if(__CZ__stirling2_n >= n && __CZ__stirling2_m >= m){
+    return __CZ__stirling2[n,m];
+  }
+  else{
+    __CZ__stirling2 = mat[n+1,m+1];
+    __CZ__stirling2[0,0] = 1;
+    for(i=1;i<=n;i++){
+      __CZ__stirling2[i,0] = 0;
+      for(j=1;j<=m;j++){
+        if(j<=i){
+          __CZ__stirling2[i, j] =   __CZ__stirling2[i -1, j -1] + (j )\
+                                  * __CZ__stirling2[i - 1, j];
+        }
+        else{
+         __CZ__stirling2[i, j] = 0;
+        }
+      }
+    }
+  }
+  __CZ__stirling2_n = (n);
+  __CZ__stirling2_m = (m);
+  return __CZ__stirling2[n,m];
+}
+
+define bell(n){
+  local sum s2list k A;
+
+  if(!isint(n)) return newerror("bell(n): n is not integer");
+  if(n < 0) return newerror("bell(n): n is not positive");
+  /* place some more shortcuts here?*/
+  if(n<=15){
+    mat A[16] = {
+                  1, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 678570,
+                  4213597, 27644437, 190899322, 1382958545
+                };
+    return A[n];
+  }
+  /* Start by generating the list of stirling numbers of the second kind */
+  s2list = stirling2caching(n,n//2);
+  if(iserror(s2list))
+    return newerror("bell(n): could not build stirling num. list");
+  sum = 0;
+  for(k=1;k<=n;k++){
+      sum += stirling2caching(n,k);
+  }
+  return sum;
+}
+
+define subfactorialrecursive(n){
+  if(n==0) return 1;
+  if(n==1) return 0;
+  if(n==2) return 1;
+  return n * subfactorialrecursive(n-1) + (-1)^n;
+}
+
+/* This is, quite amusingely, faster than the very same algorithm in
+   PARI/GP + GMP*/
+define subfactorialiterative(n){
+  local k temp1 temp2 ret;
+  if(n==0) return 1;
+  if(n==1) return 0;
+  if(n==2) return 1;
+  temp1 = 0;
+  ret   = 1;
+  for(k=3;k<=n;k++){
+    temp2 = temp1;
+    temp1 = ret;
+    ret =  (k-1) *(temp1 + temp2);
+  }
+  return ret;
+}
+
+define subfactorial(n){
+  local epsilon eps ret lnfact;
+  if(!isint(n))return  newerror("subfactorial(n): n is not integer.");
+  if(n < 0)return  newerror("subfactorial(n): n < 0");
+  return subfactorialiterative(n);
+}
+
+define risingfactorial(x,n){
+  local num denom quot ret;
+  if(n == 1) return x;
+  if(x==0) return newerror("risingfactorial(x,n): x == 0");
+  if(!isint(x) || !isint(n)){
+    return gamma(x+n)/gamma(x);
+  }
+  if(x<1)return newerror("risingfactorial(x,n): integer x and x < 1");
+  if(x+n < 1)return newerror("risingfactorial(x,n): integer x+n and x+n < 1");
+  if(x<9000&&n<9000){
+    return (x+n-1)!/(x-1)!;
+  }
+  else{
+    num   = __CZ__factor_factorial(x+n-1,1);
+    denom = __CZ__factor_factorial(x-1,1);
+    quot  = __CZ__subtract_factored_factorials( num , denom );
+      free(num,denom);
+    ret = __CZ__multiply_factored_factorial(quot);
+    return ret;
+  }
+}
+
+define fallingfactorial(x,n){
+  local num denom quot ret;
+  if(n == 0) return 1;
+
+  if(!isint(x) || !isint(n)){
+    if(x == n) return gamma(x+1);
+    return gamma(x+1)/gamma(x-n+1);
+  }
+  else{
+    if(x<0 || x-n < 0)
+     return newerror("fallingfactorial(x,n): integer x<0 or x-n < 0");
+    if(x == n) return factorial(x);
+    if(x<9000&&n<9000){
+      return (x)!/(x-n)!;
+    }
+    else{
+      num   = __CZ__factor_factorial(x,1);
+      denom = __CZ__factor_factorial(x-n,1);
+      quot  = __CZ__subtract_factored_factorials( num , denom );
+        free(num,denom);
+      ret = __CZ__multiply_factored_factorial(quot);
+      return ret;
+    }
+  }
+}
+
+
+/*
+ * restore internal function from resource debugging
+ * report important interface functions
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "binomial(n,k)";
+    print "bigcatalan(n)";
+    print "doublefactorial(n)";
+    print "subfactorial(n)";
+    print "stirling1(n,m)";
+    print "stirling2(n,m)";
+    print "stirling2caching(n,m)";
+    print "bell(n)";
+    print "subfactorial(n)";
+    print "risingfactorial(x,n)";
+    print "fallingfactorial(x,n)";
+}

cal/gvec.cal

@@ -0,0 +1,107 @@
+/*
+ * gvec - vectorize any single-input function or trailing operator
+ *
+ * This version accepts arbitrary number of arguments, but of course
+ * they must all be same length vectors.
+ *
+ * The gvec function is for use in either a two-arg function or a two-arg
+ * operation "function" must be first; calc doesn't care how many more
+ * arguments there actually are.
+ *
+ * @(#) $Revision: 30.3 $
+ * @(#) $Id: gvec.cal,v 30.3 2011/05/23 23:00:55 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/gvec.cal,v $
+ *
+ * Under source code control:   2011/03/31 17:54:55
+ * File existed as early as:    2010
+ *
+ * By Carl Witthoft carl at witthoft dot com
+ */
+
+define gvec(function, vector)
+{
+    local xlen,y,foo;
+    local precx = 1e-50;	/* default for now */
+    local argc = param(0)-1;
+    local old_tilde;		/* previous config("tilde") */
+
+    /*
+     * parse args
+     */
+    local plist = mat[argc];
+    if (config("resource_debug") & 8) {
+	print "plist=", plist;
+	print "argc=", argc;
+    }
+    for(local i = 0; i< argc; i++) {
+	local ii = i + 2;
+	if (config("resource_debug") & 8) {
+	    print "ii=", ii;
+	    print "param(" : ii : "}=", param(ii);
+	    print "size(param(" : ii : ")=", size(param(ii));
+	}
+	plist[i] = size(param(ii));
+    }
+    local slist=sort(plist);
+    if (config("resource_debug") & 8) {
+	print "plist=", plist;
+    }
+    local argm = argc-1;
+    if (config("resource_debug") & 8) {
+	print "argm=", argm;
+    }
+    if (slist[0] != slist[argm]) {
+	quit "lengths don't match";
+    }
+    xlen = size(vector);
+    y = mat[xlen];
+
+    /*
+     * We can't do str(vector[j]) outside loop, eval() petulantly refuses to
+     * look at local variables.
+     *
+     * Also we need to config("tilde",0) to turn off lead tilde
+     * (so str(vector[j]) looks like a number.
+     */
+    old_tilde = config("tilde",0);
+
+    /*
+     * Ok, now check to see if "function" is a function.  If not, it's an
+     * operation and it's up to user to make it valid
+     */
+    if (isdefined(function)) {
+
+	/* yep, it's a function, either builtin or user-defined */
+	for (local j=0; j<xlen; j++) {
+
+	    /* build the function call */
+	    foo = strcat(function, "(");
+	    for (local jj = 0; jj<argc; jj++) {
+		foo = strcat(foo , str(param(jj+2)[j]), ",");
+	    }
+	    foo = strcat(foo, str(precx), ")");
+	    if (config("resource_debug") & 8) {
+		print "foo=", foo;
+	    }
+	    y[j] = eval(foo);
+	}
+
+    /*
+     * it is an operator --  multi-argument operator makes no sense
+     */
+    } else {
+	if (argc > 1) {
+	    quit "Error: operator can accept only one argument";
+	}
+	for (j=0; j<xlen; j++) {
+	    foo = strcat(str(vector[j]), function);
+	    y[j] = eval(foo);
+	}
+    }
+
+    /* restore tilde mode if needed */
+    config("tilde", old_tilde);
+
+    /* return result */
+    return y;
+}

cal/hello.cal

@@ -0,0 +1,36 @@
+/*
+ * hello - print Hello World! forever
+ *
+ * Copyright (C) 1999  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: hello.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/hello.cal,v $
+ *
+ * Under source code control:	1996/11/13 13:25:43
+ * File existed as early as:	1996
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * See: http://www.latech.edu/~acm/helloworld/calc.html
+ */
+
+
+while(1) print "Hello World!";

cal/hms.cal

@@ -0,0 +1,384 @@
+/*
+ * hms - calculate in hours, minutes, and seconds
+ *
+ * Copyright (C) 2010  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: hms.cal,v 30.2 2010/09/02 06:14:16 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/hms.cal,v $
+ *
+ * Under source code control:	2010/09/01 17:14:55
+ * File existed as early as:	2010
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+obj hms {hour, min, sec};
+
+define hms(hour, min, sec)
+{
+    local obj hms ans;		/* return value */
+
+    /* default missing args to 0 */
+    if (isnull(sec)) {
+	sec = 0;
+    }
+    if (isnull(min)) {
+	min = 0;
+    }
+
+    /* load object */
+    ans.hour = hour;
+    ans.min = min;
+    ans.sec = sec;
+
+    /* return properly formed object */
+    ans = fixhms(ans);
+    return ans;
+}
+
+
+define hms_add(a, b)
+{
+    local obj hms ans;		/* return value */
+
+    /* initalize value to 1st arg */
+    if (istype(a, ans)) {
+	/* 1st arg is hms object, load it */
+	ans.hour = a.hour;
+	ans.min = a.min;
+	ans.sec = a.sec;
+    } else {
+	/* 1st arg is not hms, assume scalar hours */
+	ans.hour = a;
+	ans.min = 0;
+	ans.sec = 0;
+    }
+
+    /* add value of 2nd arg */
+    if (istype(b, ans)) {
+	/* 2nd arg is hms object, add it */
+	ans.hour += b.hour;
+	ans.min += b.min;
+	ans.sec += b.sec;
+    } else {
+	/* 2nd arg is not hms, add scalar hours */
+	ans.hour += b;
+    }
+
+    /* return normalized result */
+    ans = fixhms(ans);
+    return ans;
+}
+
+
+define hms_neg(a)
+{
+    local obj hms ans;		/* return value */
+
+    /* negate argument */
+    if (istype(a, ans)) {
+	/* 1st arg is hms object, load it */
+	ans.hour = -a.hour;
+	ans.min = -a.min;
+	ans.sec = -a.sec;
+    } else {
+	/* 2nd arg is not hms, negate scalar hours */
+	ans.hour = -a;
+	ans.min = 0;
+	ans.sec = 0;
+    }
+
+    /* return normalized result */
+    ans = fixhms(ans);
+    return ans;
+}
+
+
+define hms_sub(a, b)
+{
+    local obj hms ans;		/* return value */
+
+    /* initalize value to 1st arg */
+    if (istype(a, ans)) {
+	/* 1st arg is hms object, load it */
+	ans.hour = a.hour;
+	ans.min = a.min;
+	ans.sec = a.sec;
+    } else {
+	/* 1st arg is not hms, assume scalar hours */
+	ans.hour = a;
+	ans.min = 0;
+	ans.sec = 0;
+    }
+
+    /* subtract value of 2nd arg */
+    if (istype(b, ans)) {
+	/* 2nd arg is hms object, subtract it */
+	ans.hour -= b.hour;
+	ans.min -= b.min;
+	ans.sec -= b.sec;
+    } else {
+	/* 2nd arg is not hms, subtract scalar hours */
+	ans.hour -= b;
+    }
+
+    /* return normalized result */
+    ans = fixhms(ans);
+    return ans;
+}
+
+
+define hms_mul(a, b)
+{
+    local obj hms ans;		/* return value */
+
+    /* hms object multiplication */
+    if (istype(a, ans) && istype(b, ans)) {
+	ans.hour = hms_abs(a) * hms_abs(b);
+	ans.min = 0;
+	ans.sec = 0;
+
+    /* scalar multiplication */
+    } else if (istype(a, ans)) {
+	ans.hour = a.hour * b;
+	ans.min = a.min * b;
+	ans.sec = a.sec * b;
+    } else {
+	ans.hour = b.hour * a;
+	ans.min = b.min * a;
+	ans.sec = b.sec * a;
+    }
+
+    /* return normalized result */
+    ans = fixhms(ans);
+    return ans;
+}
+
+
+define hms_print(a)
+{
+    local obj hms ans;		/* temp object for hms type testing */
+
+    /* firewall - arg must be a hms object */
+    if (! istype(a, ans)) {
+	quit "hms_print called with non hms object";
+    }
+
+    /* print in hms form */
+    print a.hour : ':' : a.min : ':' : a.sec :;
+}
+
+
+define hms_abs(a)
+{
+    local obj hms ans;		/* temp object for hms type testing */
+    local hour;			/* return scalar value */
+
+    /* firewall - just absolute value non hms objects */
+    if (! istype(a, ans)) {
+    	return abs(a);
+    }
+
+    /* compute hours */
+    hour = a.hour + a.min / 60 + a.sec / 3600;
+
+    /* return hours */
+    return hour;
+}
+
+
+define hms_norm(a)
+{
+    local obj hms ans;		/* temp object for hms type testing */
+    local hour;			/* hours */
+
+    /* firewall - arg must be a hms object */
+    if (! istype(a, ans)) {
+	quit "hms_norm called with non hms object";
+    }
+
+    /* square hours (norm is the square of absolute value */
+    hour = hms_abs(a);
+
+    /* return hours */
+    return hour*hour;
+}
+
+
+define hms_test(a)
+{
+    local obj hms ans;		/* temp value */
+
+    /* firewall - arg must be a hms object */
+    if (! istype(a, ans)) {
+	quit "hms_test called with non hms object";
+    }
+
+    /* return false of non-zero */
+    ans = fixhms(a);
+    if (ans.hour == 0 && ans.min == 0 && ans.sec == 0) {
+	/* false */
+	return 0;
+    }
+    /* true */
+    return 1;
+}
+
+
+define hms_int(a)
+{
+    local obj hms ans;		/* return value */
+
+    /* firewall - arg must be a hms object */
+    if (! istype(a, ans)) {
+	quit "hms_int called with non hms object";
+    }
+
+    /* normalize the argument */
+    ans = fixhms(a);
+
+    /* truncate to the nearest second */
+    ans.sec = int(ans.sec);
+
+    /* return value to the nearest second */
+    return ans;
+}
+
+
+define hms_frac(a)
+{
+    local obj hms ans;		/* return value */
+
+    /* firewall - arg must be a hms object */
+    if (! istype(a, ans)) {
+	quit "hms_frac called with non hms object";
+    }
+
+    /* normalize the argument */
+    ans = fixhms(a);
+
+    /* remove all but fractional seconds */
+    ans.hour = 0;
+    ans.min = 0;
+    ans.sec = frac(ans.sec);
+
+    /* return value to the second fraction */
+    return ans;
+}
+
+
+define hms_rel(a,b)
+{
+    local abs_a, abs_b;		/* scalars of the arguments */
+
+    /* compute scalars of the arguments */
+    abs_a = hms_abs(a);
+    abs_b = hms_abs(b);
+
+    /* return the comparison */
+    return cmp(abs_a, abs_b);
+}
+
+
+define hms_cmp(a,b)
+{
+    local abs_a, abs_b;		/* scalars of the arguments */
+
+    /* compute scalars of the arguments */
+    abs_a = hms_abs(a);
+    abs_b = hms_abs(b);
+
+    /* return the equality comparison */
+    return (abs_a == abs_b);
+}
+
+
+define hms_inc(a)
+{
+    local obj hms ans;		/* return value */
+
+    /* increment a hms object */
+    if (istype(a, ans)) {
+	ans = a;
+	++ans.sec;
+
+	/* return normalized result */
+	ans = fixhms(ans);
+	return ans;
+    }
+
+    /* increment a scalar */
+    return a+1;
+}
+
+
+define hms_dec(a)
+{
+    local obj hms ans;		/* return value */
+
+    /* decrement a hms object */
+    if (istype(a, ans)) {
+	ans = a;
+	--ans.sec;
+
+	/* return normalized result */
+	ans = fixhms(ans);
+	return ans;
+    }
+
+    /* decrement a scalar */
+    return a-1;
+}
+
+
+define fixhms(a)
+{
+    local obj hms ans;		/* temp value */
+
+    /* firewall */
+    if (! istype(a, ans)) {
+	quit "attempt to fix a non hms object";
+    }
+
+    /* force minutes to be intergral */
+    a.min += frac(a.hour) * 60;
+    a.hour = int(a.hour);
+
+    /* force hours to be intergral */
+    a.sec += frac(a.min) * 60;
+    a.min = int(a.min);
+
+    /* carry excess seconds into minutes */
+    a.min += a.sec // 60;
+    a.sec %= 60;
+
+    /* carry excess minutes into hours */
+    a.hour += a.min // 60;
+    a.min %= 60;
+
+    /* round hours by day */
+    a.hour %= 24;
+
+    /* return normalized result */
+    return a;
+}
+
+if (config("resource_debug") & 3) {
+    print "obj hms {hour, min, sec} defined";
+}

cal/infinities.cal

@@ -0,0 +1,88 @@
+/*
+ * infinities - handle infinities symbolically, a little helper file
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+define isinfinite(x)
+{
+    if (isstr(x)) {
+	if (strncmp(x, "cinf", 4) == 0
+	    || strncmp(x, "pinf", 4) == 0 || strncmp(x, "ninf", 4) == 0)
+	    return 1;
+    }
+    return 0;
+}
+
+define iscinf(x)
+{
+    if (isstr(x)) {
+	if (strncmp(x, "cinf", 4) == 0)
+	    return 1;
+    }
+    return 0;
+}
+
+define ispinf(x)
+{
+    if (isstr(x)) {
+	if (strncmp(x, "pinf", 4) == 0)
+	    return 1;
+    }
+    return 0;
+}
+
+define isninf(x)
+{
+    if (isstr(x)) {
+	if (strncmp(x, "ninf", 4) == 0)
+	    return 1;
+    }
+    return 0;
+}
+
+define cinf()
+{
+    return "cinf";
+}
+
+define ninf()
+{
+    return "ninf";
+}
+
+define pinf()
+{
+    return "pinf";
+}
+
+
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "isinfinite(x)";
+    print "iscinf(x)";
+    print "ispinf(x)";
+    print "isninf(x)";
+    print "cinf()";
+    print "ninf()";
+    print "pinf()";
+}

cal/intfile.cal

@@ -0,0 +1,222 @@
+/*
+ * intfile - integer to file and file to integer conversion
+ *
+ * Copyright (C) 2001  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: intfile.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/intfile.cal,v $
+ *
+ * Under source code control:   2001/03/31 08:13:11
+ * File existed as early as:    2001
+ *
+ * chongo <was here> /\oo/\     http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)        http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+/*
+ * NOTE: Because leading HALF values are trimmed from integer, a file
+ *	 that begins with lots of 0 bits (in the case of big endian)
+ *	 or that ends with lots of 0 bits (in the case of little endian)
+ *	 will be changed when the subsequent integer is written back.
+ */
+
+
+/*
+ * file2be - convert a file into an big endian integer
+ *
+ * given:
+ *	filename	filename to read
+ *
+ * returns:
+ *	integer read from its contents on big endian order
+ */
+define file2be(filename)
+{
+    local fd;	/* open file */
+    local ret;	/* integer to return */
+    local c;	/* character read from the file */
+    local i;
+
+    /*
+     * open the file for reading
+     */
+    fd = fopen(filename, "rb");
+    if (!isfile(fd)) quit "file2be: cannot open file for reading";
+
+    /*
+     * read the contents of the file
+     *
+     * The first octets become the most significant bits of the integer.
+     */
+    ret = 0;
+    while (! isnull(c = fgetc(fd))) {
+	ret <<= 8;
+	ret += ord(c);
+    }
+
+    /*
+     * cleanup and return the integer
+     */
+    fclose(fd);
+    return ret;
+}
+
+
+/*
+ * file2le - convert a file into an little endian integer
+ *
+ * given:
+ *	filename	filename to read
+ *
+ * returns:
+ *	integer read from its contents on little endian order
+ */
+define file2le(filename)
+{
+    local fd;	/* open file */
+    local ret;	/* integer to return */
+    local c;	/* character read from the file */
+    local shft;	/* bit shift for the c value */
+    local i;
+
+    /*
+     * open the file for reading
+     */
+    fd = fopen(filename, "rb");
+    if (!isfile(fd)) quit "file2le: cannot open file for reading";
+
+    /*
+     * read the contents of the file into a string
+     *
+     * The first octets become are the least significant bits of the integer.
+     */
+    ret = 0;
+    shft = 0;
+    while (! isnull(c = fgetc(fd))) {
+	ret |= (ord(c) << shft);
+	shft += 8;
+    }
+
+    /*
+     * cleanup and return the integer
+     */
+    fclose(fd);
+    return ret;
+}
+
+
+/*
+ * be2file - convert a big endian integer into a file
+ *
+ * given:
+ *	v		integer to write to the file
+ *	filename	filename to write
+ *
+ * returns:
+ *	The number of octets written to the file.
+ *
+ * NOTE: The absolute value of the integer is written to the file.
+ */
+define be2file(v, filename)
+{
+    local fd;		/* open file */
+    local octlen;	/* length of v in octets */
+    local i;
+
+    /*
+     * firewall
+     */
+    if (!isint(v)) {
+	quit "be2file: 1st arg not an integer";
+    }
+    v = abs(v);
+
+    /*
+     * open the file for writing
+     */
+    fd = fopen(filename, "wb");
+    if (!isfile(fd)) quit "be2file: cannot open file for writing";
+
+    /*
+     * write the octets to the file
+     *
+     * The most significant bits of the integer become the first file octets.
+     */
+    octlen = int((highbit(v)+8) / 8);
+    for (i=octlen-1; i >= 0; --i) {
+    	fputc(fd, char(v >> (i*8)));
+    }
+
+    /*
+     * cleanup
+     */
+    fclose(fd);
+    return octlen;
+}
+
+
+/*
+ * le2file - convert a little endian integer into a file
+ *
+ * given:
+ *	v		integer to write to the file
+ *	filename	filename to write
+ *
+ * returns:
+ *	The number of octets written to the file.
+ *
+ * NOTE: The absolute value of the integer is written to the file.
+ */
+define le2file(v, filename)
+{
+    local fd;	/* open file */
+    local cnt;	/* octets written */
+
+    /*
+     * firewall
+     */
+    if (!isint(v)) {
+	quit "be2file: 1st arg not an integer";
+    }
+    v = abs(v);
+
+    /*
+     * open the file for writing
+     */
+    fd = fopen(filename, "wb");
+    if (!isfile(fd)) quit "le2file: cannot open file for writing";
+
+    /*
+     * Write the octets to the file.
+     *
+     * The least significant bits of the integer become the first file octets.
+     */
+    cnt = 0;
+    while (v > 0) {
+	fputc(fd, char(v));
+	v >>= 8;
+	++cnt;
+    }
+
+    /*
+     * cleanup
+     */
+    fclose(fd);
+    return cnt;
+}

cal/intnum.cal

@@ -0,0 +1,728 @@
+/*
+ * intnum - implementation of tanhsinh- and Gauss-Legendre quadrature
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+read -once infinities;
+
+static __CZ__tanhsinh_x;
+static __CZ__tanhsinh_w;
+static __CZ__tanhsinh_order;
+static __CZ__tanhsinh_prec;
+
+define quadtsdeletenodes()
+{
+    free(__CZ__tanhsinh_x);
+    free(__CZ__tanhsinh_w);
+    free(__CZ__tanhsinh_order);
+    free(__CZ__tanhsinh_prec);
+}
+
+define quadtscomputenodes(order, expo, eps)
+{
+    local t cht sht chp sum k PI places;
+    local h t0 x w;
+    if (__CZ__tanhsinh_order == order && __CZ__tanhsinh_prec == eps)
+	return 1;
+    __CZ__tanhsinh_order = order;
+    __CZ__tanhsinh_prec = eps;
+    __CZ__tanhsinh_x = list();
+    __CZ__tanhsinh_w = list();
+    /* The tanhsinh algorithm needs a slightly higher precision than G-L */
+    eps = epsilon(eps * 1e-2);
+    places = highbit(1 + int (1 / epsilon())) +1;
+    PI = pi();
+    sum = 0;
+    t0 = 2 ^ (-expo);
+    h = 2 * t0;
+    /*
+     * The author wanted to use the mpmath trick here which was
+     * advertised---and reasonably so!---to be faster. Didn't work out
+     * so well with calc.
+     * PI4 = PI/4;
+     * expt0 = bround(exp(t0),places);
+     * a = bround( PI4 * expt0,places);
+     * b = bround(PI4 / expt0,places);
+     * udelta = bround(exp(h),places);
+     * urdelta = bround(1/udelta,places);
+     */
+    /* make use of x(-t) = -x(t), w(-t) = w(t)  */
+    for (k = 0; k < 20 * order + 1; k++) {
+	/*
+	 * x = tanh(pi/2 * sinh(t))
+	 * w = pi/2 * cosh(t) / cosh(pi/2 * sinh(t))^2
+	 */
+	t = bround(t0 + k * h, places);
+
+	cht = bround(cosh(t), places);
+	sht = bround(sinh(t), places);
+	chp = bround(cosh(0.5 * PI * sht), places);
+	x = bround(tanh(0.5 * PI * sht), places);
+	w = bround((PI * h * cht) / (2 * chp ^ 2), places);
+	/*
+	 * c = bround(exp(a-b),places);
+	 * d = bround(1/c,places);
+	 * co =bround( (c+d)/2,places);
+	 * si =bround( (c-d)/2,places);
+	 * x = bround(si / co,places);
+	 * w = bround((a+b) / co^2,places);
+	 */
+	if (abs(x - 1) <= eps)
+	    break;
+
+	append(__CZ__tanhsinh_x, x);
+	append(__CZ__tanhsinh_w, w);
+	/*
+	 * a *= udelta;
+	 * b *= urdelta;
+	 */
+    }
+
+    /* Normalize the weights to make them add up to 2 (two) */
+    /*
+     * for(k=0;k < size(__CZ__tanhsinh_w);k++)
+     * sum = bround(sum + __CZ__tanhsinh_w[k],places);
+     * sum *= 2;
+     * for(k=0;k < size(__CZ__tanhsinh_w);k++)
+     * __CZ__tanhsinh_w[k] = bround(2.0 * __CZ__tanhsinh_w[k] / sum,places);
+     */
+
+    epsilon(eps);
+    return 1;
+}
+
+define quadtscore(a, b, n)
+{
+    local k c d order eps places sum ret x x1 x2 xm w w1 w2 m sizel;
+
+    eps = epsilon(epsilon() * 1e-2);
+    places = highbit(1 + int (1 / epsilon())) +1;
+    m = int (4 + max(0, ln(places / 30.0) / ln(2))) + 2;
+    if (!isnull(n)) {
+	order = n;
+	m = ilog(order / 3, 2) + 1;
+    } else
+	order = 3 * 2 ^ (m - 1);
+
+    quadtscomputenodes(order, m, epsilon());
+    sizel = size(__CZ__tanhsinh_w);
+
+    if (isinfinite(a) || isinfinite(b)) {
+	/*
+	 *           x
+	 * t =  ------------
+	 *                2
+	 *      sqrt(1 - y )
+	 */
+	if (isninf(a) && ispinf(b)) {
+	    for (k = 0; k < sizel; k++) {
+		x1 = __CZ__tanhsinh_x[k];
+		x2 = -__CZ__tanhsinh_x[k];
+		w1 = __CZ__tanhsinh_w[k];
+
+		x = bround(x1 * (1 - x1 ^ 2) ^ (-1 / 2), places);
+		xm = bround(x2 * (1 - x2 ^ 2) ^ (-1 / 2), places);
+		w = bround(w1 * (((1 - x1 ^ 2) ^ (-1 / 2)) / (1 - x1 ^ 2)),
+			   places);
+		w2 = bround(w1 * (((1 - x2 ^ 2) ^ (-1 / 2)) / (1 - x2 ^ 2)),
+			    places);
+		sum += bround(w * f(x), places);
+		sum += bround(w2 * f(xm), places);
+	    }
+	}
+	/*
+	 *        1
+	 * t =  - - + b + 1
+	 *        x
+	 */
+	else if (isninf(a) && !iscinf(b)) {
+	    for (k = 0; k < sizel; k++) {
+		x1 = __CZ__tanhsinh_x[k];
+		x2 = -__CZ__tanhsinh_x[k];
+		w1 = __CZ__tanhsinh_w[k];
+
+		x = bround((b + 1) - (2 / (x1 + 1)), places);
+		xm = bround((b + 1) - (2 / (x2 + 1)), places);
+		w = bround(w1 * (1 / 2 * (2 / (x1 + 1)) ^ 2), places);
+		w2 = bround(w1 * (1 / 2 * (2 / (x2 + 1)) ^ 2), places);
+		sum += bround(w * f(x), places);
+		sum += bround(w2 * f(xm), places);
+	    }
+	}
+	/*
+	 *      1
+	 * t =  - + a - 1
+	 *      x
+	 */
+	else if (!iscinf(a) && ispinf(b)) {
+	    for (k = 0; k < sizel; k++) {
+		x1 = __CZ__tanhsinh_x[k];
+		x2 = -__CZ__tanhsinh_x[k];
+		w1 = __CZ__tanhsinh_w[k];
+		x = bround((a - 1) + (2 / (x1 + 1)), places);
+		xm = bround((a - 1) + (2 / (x2 + 1)), places);
+		w = bround(w1 * (((1 / 2) * (2 / (x1 + 1)) ^ 2)), places);
+		w2 = bround(w1 * (((1 / 2) * (2 / (x2 + 1)) ^ 2)), places);
+		sum += bround(w * f(x), places);
+		sum += bround(w2 * f(xm), places);
+	    }
+	} else if (isninf(a) || isninf(b)) {
+	    /*TODO: swap(a,b) and negate(w)? Lookup! */
+	    return newerror("quadtscore: reverse limits?");
+	} else {
+	    return
+		newerror("quadtscore: complex infinity not yet implemented");
+        }
+	ret = sum;
+    } else {
+	/* Avoid rounding errors */
+	if (a == -1 && b == 1) {
+	    c = 1;
+	    d = 0;
+	} else {
+	    c = (b - a) / 2;
+	    d = (b + a) / 2;
+	}
+	sum = 0;
+	for (k = 0; k < sizel; k++) {
+	    sum +=
+		bround(__CZ__tanhsinh_w[k] * f(c * __CZ__tanhsinh_x[k] + d),
+		       places);
+	    sum +=
+		bround(__CZ__tanhsinh_w[k] * f(c * -__CZ__tanhsinh_x[k] + d),
+		       places);
+	}
+	ret = c * sum;
+    }
+    epsilon(eps);
+    return ret;
+}
+
+static __CZ__quadts_error;
+
+define quadts(a, b, points)
+{
+    local k sp results epsbits nsect interval length segment slope C ;
+    local x1 x2 y1 y2  sum D1 D2 D3 D4;
+    if (param(0) < 2)
+	return newerror("quadts: not enough arguments");
+    epsbits = highbit(1 + int (1 / epsilon())) +1;
+    if (param(0) < 3 || isnull(points)) {
+	/* return as given */
+	return quadtscore(a, b);
+    } else {
+	if ((isinfinite(a) || isinfinite(b))
+	    && (!ismat(points) && !islist(points)))
+	    return
+		newerror(strcat
+			 ("quadts: segments of infinite length ",
+			  "are not yet supported"));
+	if (ismat(points) || islist(points)) {
+	    sp = size(points);
+	    if (sp == 0)
+		return
+		    newerror(strcat
+			     ("quadts: variable 'points` must be a list or ",
+			      "1d-matrix of a length > 0"));
+	    /* check if all points are numbers */
+	    for (k = 0; k < sp; k++) {
+		if (!isnum(points[k]))
+		    return
+			newerror(strcat
+				 ("quadts: elements of 'points` must be",
+				  " numbers only"));
+	    }
+	    /* We have n-1 intervals and a and b, hence n-1 + 2 results */
+	    results = mat[sp + 1];
+            if (a != points[0]) {
+	        results[0] = quadtscore(a, points[0]);
+            } else {
+                results[0] = 0;
+            }
+	    if (sp == 1) {
+                if (b != points[0]) {
+		    results[1] = quadtscore(points[0], b);
+                } else {
+                    results[1] = 0;
+                }
+	    } else {
+		for (k = 1; k < sp; k++) {
+		    results[k] = quadtscore(points[k - 1], points[k]);
+		}
+                if (b != points[k - 1]) {
+		    results[k] = quadtscore(points[k - 1], b);
+                } else {
+                    results[k] = 0;
+                }
+	    }
+	} else {
+	    if (!isint(points) || points <= 0)
+		return newerror(strcat("quadts: variable 'points` must be a ",
+				       "list or a positive integer"));
+	    /* Taking "points" as the number of equally spaced intervals */
+	    results = mat[points + 1];
+	    /* It is easy if a,b lie on the real line */
+	    if (isreal(a) && isreal(b)) {
+		length = abs(a - b);
+		segment = length / points;
+
+		for (k = 1; k <= points; k++) {
+		    results[k - 1] =
+			quadtscore(a + (k - 1) * segment, a + k * segment);
+		}
+	    } else {
+		/* We have at least one complex limit but treat "points" still
+                 * as the number of equally spaced intervals on a straight line
+                 * connecting a and b. Computing the segments here is a bit
+                 * more complicated but not much, it should have been taught in
+                 * highschool.
+		 * Other contours by way of a list of points */
+		slope = (im(b) - im(a)) / (re(b) - re(a));
+		C = (im(a) + slope) * re(a);
+		length = abs(re(a) - re(b));
+		segment = length / points;
+
+		/* y = mx+C where m is the slope, x is the real part and y the
+		 * imaginary part  */
+                if(re(a)>re(b))swap(a,b);
+		for (k = re(a); k <= (re(b)); k+=segment) {
+		    x1 = slope*(k) +  C;
+		    results[k] = quadtscore(k + x1 * 1i);
+		}
+	    }			/* else of isreal */
+	}			/* else of ismat|islist */
+    }				/* else of isnull(points) */
+    /* With a bit of undeserved luck we have a result by now. */
+    sp = size(results);
+    for (k = 0; k < sp; k++) {
+	sum += results[k];
+    }
+    return sum;
+}
+
+static __CZ__gl_x;
+static __CZ__gl_w;
+static __CZ__gl_order;
+static __CZ__gl_prec;
+
+define quadglcomputenodes(N)
+{
+    local places k l x w t1 t2 t3 t4 t5 r tmp;
+
+    if (__CZ__gl_order == N && __CZ__gl_prec == epsilon())
+	return;
+
+    __CZ__gl_x = mat[N];
+    __CZ__gl_w = mat[N];
+    __CZ__gl_order = N;
+    __CZ__gl_prec = epsilon();
+
+    places = highbit(1 + int (1 / epsilon())) +1;
+
+    /*
+     * Compute roots and weights (doing it inline seems to be fastest)
+     * Trick shamelessly stolen from D. Bailey et .al (program "arprec")
+     */
+    for (k = 1; k <= N//2; k++) {
+	r = bround(cos(pi() * (k - .25) / (N + .5)), places);
+	while (1) {
+	    t1 = 1, t2 = 0;
+	    for (l = 1; l <= N; l++) {
+		t3 = t2;
+		t2 = t1;
+		t1 = bround(((2 * l - 1) * r * t2 - (l - 1) * t3) / l, places);
+	    }
+	    t4 = bround(N * (r * t1 - t2) / ((r ^ 2) - 1), places);
+	    t5 = r;
+	    tmp = t1 / t4;
+	    r = r - tmp;
+	    if (abs(tmp) <= epsilon())
+		break;
+	}
+	x = r;
+	w = bround(2 / ((1 - r ^ 2) * t4 ^ 2), places);
+
+	__CZ__gl_x[k - 1] = x;
+	__CZ__gl_w[k - 1] = w;
+	__CZ__gl_x[N - k] = -__CZ__gl_x[k - 1];
+	__CZ__gl_w[N - k] = __CZ__gl_w[k - 1];
+    }
+    return;
+}
+
+define quadgldeletenodes()
+{
+    free(__CZ__gl_x);
+    free(__CZ__gl_w);
+    free(__CZ__gl_order);
+    free(__CZ__gl_prec);
+}
+
+define quadglcore(a, b, n)
+{
+    local k c d digs order eps places sum ret err x x1 w w1 m;
+    local phalf x2 px1 spx1 u b1 a1 half;
+
+    eps = epsilon(epsilon() * 1e-2);
+    places = highbit(1 + int (1 / epsilon())) +1;
+    if (!isnull(n))
+	order = n;
+    else {
+	m = int (4 + max(0, ln(places / 30.0) / ln(2))) + 2;
+	order = 3 * 2 ^ (m - 1);
+    }
+
+
+    quadglcomputenodes(order, 1);
+
+    if (isinfinite(a) || isinfinite(b)) {
+	if (isninf(a) && ispinf(b)) {
+	    for (k = 0; k < order; k++) {
+		x1 = __CZ__gl_x[k];
+		w1 = __CZ__gl_w[k];
+
+		x = bround(x1 * (1 - x1 ^ 2) ^ (-1 / 2), places);
+		w = bround(w1 * (((1 - x1 ^ 2) ^ (-1 / 2)) / (1 - x1 ^ 2)),
+			   places);
+		sum += bround(w * f(x), places);
+	    }
+	} else if (isninf(a) && !iscinf(b)) {
+	    for (k = 0; k < order; k++) {
+		x1 = __CZ__gl_x[k];
+		w1 = __CZ__gl_w[k];
+
+		x = bround((b + 1) - (2 / (x1 + 1)), places);
+		w = bround(w1 * (1 / 2 * (2 / (x1 + 1)) ^ 2), places);
+		sum += bround(w * f(x), places);
+	    }
+	} else if (!iscinf(a) && ispinf(b)) {
+	    for (k = 0; k < order; k++) {
+		x1 = __CZ__gl_x[k];
+		w1 = __CZ__gl_w[k];
+		x = bround((a - 1) + (2 / (x1 + 1)), places);
+		w = bround(w1 * (((1 / 2) * (2 / (x1 + 1)) ^ 2)), places);
+		sum += bround(w * f(x), places);
+	    }
+	} else if (isninf(a) || isninf(b)) {
+	    /*TODO: swap(a,b) and negate(w)? Lookup! */
+	    return newerror("quadglcore: reverse limits?");
+	} else
+	    return
+		newerror("quadglcore: complex infinity not yet implemented");
+	ret = sum;
+    } else {
+	/* Avoid rounding errors */
+	if (a == -1 && b == 1) {
+	    c = 1;
+	    d = 0;
+	} else {
+	    c = (b - a) / 2;
+	    d = (b + a) / 2;
+	}
+	sum = 0;
+	for (k = 0; k < order; k++) {
+	    sum += bround(__CZ__gl_w[k] * f(c * __CZ__gl_x[k] + d), places);
+	}
+	ret = c * sum;
+    }
+    epsilon(eps);
+    return ret;
+}
+
+define quadgl(a, b, points)
+{
+    local k sp results epsbits nsect interval length segment slope C x1 y1 x2
+	y2;
+    local sum D1 D2 D3 D4;
+    if (param(0) < 2)
+	return newerror("quadgl: not enough arguments");
+    epsbits = highbit(1 + int (1 / epsilon())) +1;
+    if (isnull(points)) {
+	/* return as given */
+	return quadglcore(a, b);
+    } else {
+	/* But if we could half the time needed to execute a single operation
+	 * we could do all of it in just twice that time. */
+	if (isinfinite(a) || isinfinite(b)
+	    && (!ismat(points) && !islist(points)))
+	    return
+		newerror(strcat
+			 ("quadgl: multiple segments of infinite length ",
+			  "are not yet supported"));
+	if (ismat(points) || islist(points)) {
+	    sp = size(points);
+	    if (sp == 0)
+		return
+		    newerror(strcat
+			     ("quadgl: variable 'points` must be a list or ",
+			      "1d-matrix of a length > 0"));
+	    /* check if all points are numbers */
+	    for (k = 0; k < sp; k++) {
+		if (!isnum(points[k]))
+		    return
+			newerror(strcat
+				 ("quadgl: elements of 'points` must be ",
+				  "numbers only"));
+	    }
+	    /* We have n-1 intervals and a and b, hence n-1 + 2 results */
+	    results = mat[sp + 1];
+            if (a != points[0]) {
+	        results[0] = quadglcore(a, points[0]);
+            } else {
+                results[0] = 0;
+            }
+	    if (sp == 1) {
+		if (b != points[0]) {
+		    results[1] = quadglcore(points[0], b);
+                } else {
+                    results[1] = 0;
+                }
+	    } else {
+		for (k = 1; k < sp; k++) {
+		    results[k] = quadglcore(points[k - 1], points[k]);
+		}
+                if (b != points[k - 1]) {
+		    results[k] = quadglcore(points[k - 1], b);
+                } else {
+                    results[k] = 0;
+                }
+	    }
+	} else {
+	    if (!isint(points) || points <= 0)
+		return newerror(strcat("quadgl: variable 'points` must be a ",
+				       "list or a positive integer"));
+	    /* Taking "points" as the number of equally spaced intervals */
+	    results = mat[points + 1];
+	    /* It is easy if a,b lie on the real line */
+	    if (isreal(a) && isreal(b)) {
+		length = abs(a - b);
+		segment = length / points;
+
+		for (k = 1; k <= points; k++) {
+		    results[k - 1] =
+			quadglcore(a + (k - 1) * segment, a + k * segment);
+		}
+	    } else {
+		/* Other contours by way of a list of points */
+		slope = (im(b) - im(a)) / (re(b) - re(a));
+		C = (im(a) + slope) * re(a);
+		length = abs(re(a) - re(b));
+		segment = length / points;
+
+		/* y = mx+C where m is the slope, x is the real part and y the
+		 * imaginary part  */
+                if(re(a)>re(b))swap(a,b);
+		for (k = re(a); k <= (re(b)); k+=segment) {
+		    x1 = slope*(k) +  C;
+		    results[k] = quadglcore(k + x1 * 1i);
+		}
+	    }			/* else of isreal */
+	}			/* else of ismat|islist */
+    }				/* else of isnull(points) */
+    /* With a bit of undeserved luck we have a result by now. */
+    sp = size(results);
+    for (k = 0; k < sp; k++) {
+	sum += results[k];
+    }
+    return sum;
+}
+
+define quad(a, b, points = -1, method = "tanhsinh")
+{
+    if (isnull(a) || isnull(b) || param(0) < 2)
+	return newerror("quad: both limits must be given");
+    if (isstr(a)) {
+	if (strncmp(a, "cinf", 1) == 0)
+	    return
+		newerror(strcat
+			 ("quad: complex infinity not yet supported, use",
+			  " 'pinf' or 'ninf' respectively"));
+    }
+    if (isstr(b)) {
+	if (strncmp(b, "cinf", 1) == 0)
+	    return
+		newerror(strcat
+			 ("quad: complex infinity not yet supported, use",
+			  " 'pinf' or 'ninf' respectively"));
+    }
+
+    if (param(0) == 3) {
+	if (isstr(points))
+	    method = points;
+    }
+
+    if (strncmp(method, "tanhsinh", 1) == 0) {
+	if (!isstr(points)) {
+	    if (points == -1) {
+		return quadts(a, b);
+	    } else {
+		return quadts(a, b, points);
+	    }
+	} else {
+	    return quadts(a, b);
+	}
+    }
+
+    if (strncmp(method, "gausslegendre", 1) == 0) {
+	if (!isstr(points)) {
+	    if (points == -1) {
+		return quadgl(a, b);
+	    } else {
+		return quadgl(a, b, points);
+	    }
+	} else {
+	    return quadgl(a, b);
+	}
+    }
+}
+
+define makerange(start, end, steps)
+{
+    local ret k l step C length slope x1 x2 y1 y2;
+    local segment;
+    steps = int (steps);
+    if (steps < 1) {
+	return newerror("makerange: number of steps must be > 0");
+    }
+    if (!isnum(start) || !isnum(end)) {
+	return newerror("makerange: only numbers are supported yet");
+    }
+    if (isreal(start) && isreal(end)) {
+	step = (end - start) / (steps);
+	print step;
+	ret = mat[steps + 1];
+	for (k = 0; k <= steps; k++) {
+	    ret[k] = k * step + start;
+	}
+    } else {
+	ret = mat[steps + 1];
+	if (re(start) > re(end)) {
+	    swap(start, end);
+	}
+
+	slope = (im(end) - im(start)) / (re(end) - re(start));
+	C = im(start) - slope * re(start);
+	length = abs(re(start) - re(end));
+	segment = length / (steps);
+
+	for (k = re(start), l = 0; k <= (re(end)); k += segment, l++) {
+	    x1 = slope * (k) + C;
+	    ret[l] = k + x1 * 1i;
+	}
+
+    }
+    return ret;
+}
+
+define makecircle(radius, center, points)
+{
+    local ret k a b twopi centerx centery;
+    if (!isint(points) || points < 2) {
+	return
+	    newerror("makecircle: number of points is not a positive integer");
+    }
+    if (!isnum(center)) {
+	return newerror("makecircle: center does not lie on the complex plane");
+    }
+    if (!isreal(radius) || radius <= 0) {
+	return newerror("makecircle: radius is not a real > 0");
+    }
+    ret = mat[points];
+    twopi = 2 * pi();
+    centerx = re(center);
+    centery = im(center);
+    for (k = 0; k < points; k++) {
+	a = centerx + radius * cos(twopi * k / points);
+	b = centery + radius * sin(twopi * k / points);
+	ret[k] = a + b * 1i;
+    }
+    return ret;
+}
+
+define makeellipse(angle, a, b, center, points)
+{
+    local ret k x y twopi centerx centery;
+    if (!isint(points) || points < 2) {
+	return
+	    newerror("makeellipse: number of points is not a positive integer");
+    }
+    if (!isnum(center)) {
+	return
+	    newerror("makeellipse: center does not lie on the complex plane");
+    }
+    if (!isreal(a) || a <= 0) {
+	return newerror("makecircle: a is not a real > 0");
+    }
+    if (!isreal(b) || b <= 0) {
+	return newerror("makecircle: b is not a real > 0");
+    }
+    if (!isreal(angle)) {
+	return newerror("makecircle: angle is not a real");
+    }
+    ret = mat[points];
+    twopi = 2 * pi();
+    centerx = re(center);
+    centery = im(center);
+    for (k = 0; k < points; k++) {
+	x = centerx + a * cos(twopi * k / points) * cos(angle)
+	    - b * sin(twopi * k / points) * sin(angle);
+	y = centerx + a * cos(twopi * k / points) * sin(angle)
+	    + b * sin(twopi * k / points) * cos(angle);
+	ret[k] = x + y * 1i;
+    }
+    return ret;
+}
+
+define makepoints()
+{
+    local ret k;
+    ret = mat[param(0)];
+    for (k = 0; k < param(0); k++) {
+	if (!isnum(param(k + 1))) {
+	    return
+		newerror(strcat
+			 ("makepoints: parameter number \"", str(k + 1),
+			  "\" is not a number"));
+	}
+	ret[k] = param(k + 1);
+    }
+    return ret;
+}
+
+
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "quadtsdeletenodes()";
+    print "quadtscomputenodes(order, expo, eps)";
+    print "quadtscore(a,b,n)";
+    print "quadts(a,b,points)";
+    print "quadglcomputenodes(N)";
+    print "quadgldeletenodes()";
+    print "quadglcore(a,b,n)";
+    print "quadgl(a,b,points)";
+    print "quad(a,b,points=-1,method=\"tanhsinh\")";
+    print "makerange(start, end, steps)";
+    print "makecircle(radius, center, points)";
+    print "makeellipse(angle, a, b, center, points)";
+    print "makepoints(a1,[...])";
+}

cal/lambertw.cal

@@ -0,0 +1,288 @@
+/*
+ * lambertw - Lambert's W-function
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.4 $
+ * @(#) $Id: lambertw.cal,v 30.4 2013/08/18 20:01:53 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/lambertw.cal,v $
+ *
+ * Under source code control:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+/*
+
+     R. M. Corless and G. H. Gonnet and D. E. G. Hare and D. J. Jeffrey and
+     D. E. Knuth, "On the Lambert W Function", Advances n Computational
+     Mathematics, 329--359, (1996)
+     http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.112.6117
+
+     D. J. Jeffrey, D. E. G. Hare, R. M. Corless, "Unwinding the branches of the
+     Lambert W function", The Mathematical Scientist, 21, pp 1-7, (1996)
+     http://www.apmaths.uwo.ca/~djeffrey/Offprints/wbranch.pdf
+
+     Darko Verebic, "Having Fun with Lambert W(x) Function"
+     arXiv:1003.1628v1, March 2010, http://arxiv.org/abs/1003.1628
+
+     Winitzki, S. "Uniform Approximations for Transcendental Functions",
+     In Part 1 of Computational Science and its Applications - ICCSA 2003,
+     Lecture Notes in Computer Science, Vol. 2667, Springer-Verlag,
+     Berlin, 2003, 780-789. DOI 10.1007/3-540-44839-X_82
+     A copy may be found by Google.
+
+
+*/
+static true = 1;
+static false = 0;
+
+/* Branch 0, Winitzki (2003) , the well known Taylor series*/
+define __CZ__lambertw_0(z,eps){
+  local a=2.344e0, b=0.8842e0, c=0.9294e0, d=0.5106e0, e=-1.213e0;
+  local y=sqrt(2*exp(1)*z+2);
+  return (2*ln(1+b*y)-ln(1+c*ln(1+d*y))+e)/(1+1/(2*ln(1+b*y)+2*a));
+}
+/* branch -1 */
+define __CZ__lambertw_m1(z,eps){
+  local wn k;
+  /* Cut-off found in Maxima */
+  if(z < 0.3) return __CZ__lambertw_app(z,eps);
+  wn = z;
+  /*  Verebic (2010) eqs. 16-18*/
+  for(k=0;k<10;k++){
+    wn = ln(-z)-ln(-wn);
+  }
+  return wn;
+}
+
+/*
+  generic approximation
+
+  series for 1+W((z-2)/(2 e))
+
+  Corless et al (1996) (4.22)
+  Verebic (2010) eqs. 35-37; more coefficients given at the end of sect. 3.1
+  or online
+     http://www.wolframalpha.com/input/?
+       i=taylor+%28+1%2Bproductlog%28+%28z-2%29%2F%282*e%29+%29+%29
+  or by using the function lambertw_series_print() after running
+  lambertw_series(z,eps,branch,terms) at least once with the wanted number of
+  terms and z = 1 (which might throw an error because the series will not
+  converge in anybodies lifetime for something that far from the branchpoint).
+
+
+*/
+define __CZ__lambertw_app(z,eps){
+  local  b0=-1, b1=1, b2=-1/3, b3=11/72;
+  local  y=sqrt(2*exp(1)*z+2);
+  return b0 + ( y * (b1 + (y * (b2 + (b3 * y)))));
+}
+
+static __CZ__Ws_a;
+static __CZ__Ws_c;
+static __CZ__Ws_len=0;
+
+define lambertw_series_print(){
+  local k;
+  for(k=0;k<__CZ__Ws_len;k++){
+    print num(__CZ__Ws_c[k]):"/":den(__CZ__Ws_c[k]):"*p^":k;
+  }
+}
+
+/*
+   The series is fast but only if _very_ close to the branchpoint
+   The exact branch must be given explicitly, e.g.:
+
+; lambertw(-exp(-1)+.001)-lambertw_series(-exp(-1)+.001,epsilon()*1e-10,0)
+	-0.14758879113205794065490184399030194122136720202792-
+                  0.00000000000000000000000000000000000000000000000000i
+; lambertw(-exp(-1)+.001)-lambertw_series(-exp(-1)+.001,epsilon()*1e-10,1)
+	0.00000000000000000000000000000000000000000000000000-
+                  0.00000000000000000000000000000000000000000000000000i
+ */
+define lambertw_series(z,eps,branch,terms){
+  local k l limit tmp sum A C P PP epslocal;
+  if(!isnull(terms))
+    limit = terms;
+  else
+    limit = 100;
+
+  if(isnull(eps))
+    eps = epsilon(epsilon()*1e-10);
+  epslocal = epsilon(eps);
+
+  P = sqrt(2*(exp(1)*z+1));
+  if(branch != 0) P = -P;
+  tmp=0;sum=0;PP=P;
+
+    __CZ__Ws_a   = mat[limit+1];
+    __CZ__Ws_c   = mat[limit+1];
+    __CZ__Ws_len = limit;
+   /*
+      c0 = -1; c1 = 1
+      a0 =  2; a1 =-1
+    */
+    __CZ__Ws_c[0] = -1; __CZ__Ws_c[1] =  1;
+    __CZ__Ws_a[0] =  2; __CZ__Ws_a[1] = -1;
+    sum += __CZ__Ws_c[0];
+    sum += __CZ__Ws_c[1] * P;
+    PP *= P;
+    for(k=2;k<limit;k++){
+      for(l=2;l<k;l++){
+         __CZ__Ws_a[k] += __CZ__Ws_c[l]*__CZ__Ws_c[k+1-l];
+      }
+
+      __CZ__Ws_c[k] = (k-1) * (  __CZ__Ws_c[k-2]/2
+                            +__CZ__Ws_a[k-2]/4)/
+                      (k+1)-__CZ__Ws_a[k]/2-__CZ__Ws_c[k-1]/(k+1);
+      tmp = __CZ__Ws_c[k] * PP;
+      sum += tmp;
+      if(abs(tmp) <= eps){
+        epsilon(epslocal);
+        return sum;
+      }
+      PP *= P;
+    }
+    epsilon(epslocal);
+    return
+      newerror(strcat("lambertw_series: does not converge in ",
+                        str(limit)," terms" ));
+}
+
+/* */
+define lambertw(z,branch){
+  local eps epslarge ret branchpoint bparea w we ew w1e wn k places m1e;
+  local closeness;
+
+  eps = epsilon();
+  if(branch == 0){
+    if(!im(z)){
+      if(abs(z) <= eps) return 0;
+      if(abs(z-exp(1)) <= eps) return 1;
+      if(abs(z - (-ln(2)/2)) <= eps ) return -ln(2);
+      if(abs(z - (-pi()/2)) <= eps ) return 1i*pi()/2;
+    }
+  }
+
+  branchpoint = -exp(-1);
+  bparea = .2;
+  if(branch == 0){
+    if(!im(z) && abs(z-branchpoint) == 0) return -1;
+    ret = __CZ__lambertw_0(z,eps);
+   /* Yeah, C&P, I know, sorry */
+   ##ret = ln(z) + 2*pi()*1i*branch - ln(ln(z)+2*pi()*1i*branch);
+  }
+  else if(branch == 1){
+    if(im(z)<0 && abs(z-branchpoint) <= bparea)
+      ret = __CZ__lambertw_app(z,eps);
+   /* Does calc have a goto? Oh, it does!  */
+    ret =ln(z) + 2*pi()*1i*branch - ln(ln(z)+2*pi()*1i*branch);
+  }
+  else if(branch == -1){##print "-1";
+    if(!im(z) && abs(z-branchpoint) == 0) return -1;
+    if(!im(z) && z>branchpoint && z < 0){##print "0";
+      ret = __CZ__lambertw_m1(z,eps);}
+    if(im(z)>=0 && abs(z-branchpoint) <= bparea){##print "1";
+      ret = __CZ__lambertw_app(z,eps);}
+    ret =ln(z) + 2*pi()*1i*branch - ln(ln(z)+2*pi()*1i*branch);
+  }
+  else
+    ret = ln(z) + 2*pi()*1i*branch - ln(ln(z)+2*pi()*1i*branch);
+
+  /*
+     Such a high precision is only needed _very_ close to the branchpoint
+     and might even be insufficient if z has not been computed with
+     sufficient precision itself (M below was calculated by Mathematica and also
+     with the series above with epsilon(1e-200)):
+    ; epsilon(1e-50)
+	0.00000000000000000001
+    ; display(50)
+	20
+    ; M=-0.9999999999999999999999997668356018402875796636464119050387
+    ; lambertw(-exp(-1)+1e-50,0)-M
+	-0.00000000000000000000000002678416515423276355643684
+    ; epsilon(1e-60)
+	0.0000000000000000000000000000000000000000000000000
+    ; A=-exp(-1)+1e-50
+    ; epsilon(1e-50)
+	0.00000000000000000000000000000000000000000000000000
+    ; lambertw(A,0)-M
+	-0.00000000000000000000000000000000000231185460220585
+    ; lambertw_series(A,epsilon(),0)-M
+	-0.00000000000000000000000000000000000132145133161626
+    ; epsilon(1e-100)
+	0.00000000000000000000000000000000000000000000000001
+    ; A=-exp(-1)+1e-50
+    ; epsilon(1e-65)
+	0.00000000000000000000000000000000000000000000000000
+    ; lambertw_series(A,epsilon(),0)-M
+	0.00000000000000000000000000000000000000000000000000
+    ; lambertw_series(-exp(-1)+1e-50,epsilon(),0)-M
+	-0.00000000000000000000000000000000000000002959444084
+    ; epsilon(1e-74)
+	0.00000000000000000000000000000000000000000000000000
+    ; lambertw_series(-exp(-1)+1e-50,epsilon(),0)-M
+	-0.00000000000000000000000000000000000000000000000006
+   */
+  closeness = abs(z-branchpoint);
+  if( closeness< 1){
+    if(closeness != 0)
+      eps = epsilon(epsilon()*( closeness));
+    else
+      eps = epsilon(epsilon()^2);
+  }
+  else
+    eps = epsilon(epsilon()*1e-2);
+
+
+  epslarge =epsilon();
+
+  places = highbit(1 + int(1/epslarge)) + 1;
+  w = ret;
+  for(k=0;k<100;k++){
+    ew = exp(w);
+    we = w*ew;
+    if(abs(we-z)<= 4*epslarge*abs(z))break;
+    w1e = (1+w)*ew;
+    wn = bround(w- ((we - z) / ( w1e - ( (w+2)*(we-z) )/(2*w+2)  ) ),places++) ;
+    if( abs(wn - w) <= epslarge*abs(wn)) break;
+    else  w = wn;
+  }
+
+  if(k==100){
+    epsilon(eps);
+    return newerror("lambertw: Halley iteration does not converge");
+  }
+  /* The Maxima coders added a check if the iteration converged to the correct
+     branch. This coder deems it superfluous. */
+
+  epsilon(eps);
+  return wn;
+}
+
+
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "lambertw(z,branch)";
+    print "lambertw_series(z,eps,branch,terms)";
+    print "lambertw_series_print()";
+}

cal/linear.cal

@@ -0,0 +1,56 @@
+/*
+ * linear - perform a simple two point 2D linear interpolation
+ *
+ * Copyright (C) 2005-2007  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: linear.cal,v 30.2 2007/03/17 05:57:42 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/linear.cal,v $
+ *
+ * Under source code control:	2005/12/12 06:41:50
+ * File existed as early as:	2005
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * linear - perform a simple two point 2D linear interpolation
+ *
+ * given:
+ *	x0, y0		first known point on the line
+ *	x1, y1		second knonw point on the line
+ *	x		a given point to interpolate on
+ *
+ * returns:
+ *	y such that (x,y) is on the line defined by (x0,y0) and (x1,y1)
+ *
+ * NOTE: The line cannot be vertical.  So x0 != y0.
+ */
+define linear(x0, y0, x1, y1, x)
+{
+    /* firewall */
+    if (!isnum(x0) || ! isnum(y0) || !isnum(x1) || ! isnum(y1) || !isnum(x)) {
+	quit "non-numeric argument passed to linear";
+    }
+    if (x0 == x1) {
+	quit "linear given a line with an infinite slope";
+    }
+
+    /* return y = y0 + (delta_Y/delta_X) * (x - x0) */
+    return y0 + (((y1-y0)/(x1-x0)) * (x - x0));
+}

cal/lnseries.cal

@@ -0,0 +1,112 @@
+/*
+ * lnseries - special functions (e.g.: gamma, zeta, psi)
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.4 $
+ * @(#) $Id: lnseries.cal,v 30.4 2013/08/18 20:01:53 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/lnseries.cal,v $
+ *
+ * Under source code control:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+/*
+ * hide internal function from resource debugging
+ */
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+static __CZ__int_logs;
+static __CZ__int_logs_limit;
+static __CZ__int_logs_prec;
+
+
+define deletelnseries(){
+  free(__CZ__int_logs,__CZ__int_logs_limit,__CZ__int_logs_prec);
+}
+
+define lnfromseries(n){
+  if(    isnull(__CZ__int_logs)
+      || __CZ__int_logs_limit < n
+      || __CZ__int_logs_prec < log(1/epsilon())){
+
+    lnseries(n+1);
+  }
+  return __CZ__int_logs[n,0];
+}
+
+define lnseries(limit){
+  local k j eps ;
+  if(    isnull(__CZ__int_logs)
+      || __CZ__int_logs_limit < limit
+      || __CZ__int_logs_prec < log(1/epsilon())){
+    __CZ__int_logs = mat[limit+1,2];
+    __CZ__int_logs_limit = limit;
+    __CZ__int_logs_prec = log(1/epsilon());
+
+    /* probably still too much */
+    eps = epsilon(epsilon()*10^(-(5+log(limit))));
+    k =2;
+    while(1){
+      /* the prime itself, compute logarithm */
+      __CZ__int_logs[k,0] = ln(k);
+      __CZ__int_logs[k,1] = k;
+
+      for(j = 2*k;j<=limit;j+=k){
+       /* multiples of prime k, add logarithm of k computed earlier */
+       __CZ__int_logs[j,0] += __CZ__int_logs[k,0];
+       /* First hit, set counter to number */
+       if(__CZ__int_logs[j,1] ==0)
+         __CZ__int_logs[j,1]=j;
+       /* reduce counter by prime added */
+       __CZ__int_logs[j,1] //= __CZ__int_logs[k,1];
+      }
+
+      k++;
+      if(k>=limit) break;
+      /* Erastothenes-sieve: look for next prime. */
+      while(__CZ__int_logs[k,0]!=0){
+        k++;
+        if(k>=limit) break;
+      }
+    }
+    /* Second run to include the last factor */
+    for(k=1;k<=limit;k++){
+      if(__CZ__int_logs[k,1] != k){
+        __CZ__int_logs[k,0] +=__CZ__int_logs[ __CZ__int_logs[k,1],0];
+        __CZ__int_logs[k,1] = 0;
+      }
+    }
+
+    epsilon(eps);
+  }
+  return 1;
+}
+
+
+/*
+ * restore internal function from resource debugging
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "lnseries(limit)";
+    print "lnfromseries(n)";
+    print "deletelnseries()";
+}

cal/lucas.cal

@@ -1,32 +1,44 @@
-/*
- * Copyright (c) 1995 Landon Curt Noll
- *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice and text
- * this comment, and the disclaimer below appear in all of the following:
- *
- *	supporting documentation
- *	source copies
- *	source works derived from this source
- *	binaries derived from this source or from derived source
- *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
- *
- *	Landon Curt Noll
- *	http://reality.sgi.com/chongo/
- *
- *	chongo <was here> /\../\
- */
 /*
  * lucas - perform a Lucas primality test on h*2^n-1
  *
+ * Copyright (C) 1999  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: lucas.cal,v 30.2 2013/09/27 08:58:46 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/lucas.cal,v $
+ *
+ * Under source code control:	1990/05/03 16:49:51
+ * File existed as early as:	1990
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * NOTE: This is a standard calc resource file.  For information on calc see:
+ *
+ *	http://www.isthe.com/chongo/tech/comp/calc/index.html
+ *
+ * To obtain your own copy of calc, see:
+ *
+ *	http://www.isthe.com/chongo/tech/comp/calc/calc-download.html
+ */
+
+/*
  * HISTORICAL NOTE:
  *
  * On 6 August 1989 at 00:53 PDT, the 'Amdahl 6', a team consisting of
@@ -50,12 +62,19 @@
  *
  * At the time of discovery, this was the largest known twin prime pair.
  *
+ * See:
+ *
+ *	http://www.isthe.com/chongo/tech/math/prime/amdahl6.html
+ *
+ * for more information on the Amdahl 6 group.
+ *
  * NOTE: Both largest known and largest known twin prime records have been
  *	 broken.  Rather than update this file each time, I'll just
  *	 congratulate the finders and encourage others to try for
  *	 larger finds.	Records were made to be broken afterall!
- *
- * ON GAINING A WORLD RECORD:
+ */
+
+/* ON GAINING A WORLD RECORD:
  *
  * The routines in calc were designed to be portable, and to work on
  * numbers of 'sane' size.  The Amdahl 6 team used a 'ultra-high speed
@@ -71,7 +90,7 @@
  *
  *	test numbers of the form h*2^n-1
  *	fix a value of n and vary the value h
- *	n mod 128 == 0
+ *	n mod 2^x == 0  for some value of x, say > 7 or more
  *	h*2^n-1 is not divisible by any small prime < 2^40
  *	0 < h < 2^39
  *	h*2^n+1 is not divisible by any small prime < 2^40
@@ -124,6 +143,7 @@
  * point is beyond the scope of this program.
  */
 
+
 global pprod256;	/* product of  "primes up to 256" / "primes up to 46" */
 
 /*
@@ -422,7 +442,7 @@ lucas(h, n)
  * See the function gen_v1() for details on the value of v(1).
  *
  * input:
- *	h	- h as in h*2^n-1	(h mod 2 != 0)
+ *	h	- h as in h*2^n-1
  *	n	- n as in h*2^n-1
  *	v1	- gen_v1(h,n)		(see function below)
  *
@@ -455,13 +475,6 @@ gen_u0(h, n, v1)
 		quit "bogus arg: v1 is <= 0";
 	}
 
-	/*
-	 * enforce the h mod rules
-	 */
-	if (h%2 == 0) {
-		quit "h must not be even";
-	}
-
 	/*
 	 * enforce the h > 0 and n >= 2 rules
 	 */
@@ -1027,7 +1040,7 @@ gen_v1(h, n)
 define
 ldebug(funct, str)
 {
-	if (config("lib_debug") & 3) {
+	if (config("resource_debug") & 8) {
 		print "DEBUG:", funct:":", str;
 	}
 	return;

cal/lucas_chk.cal

@@ -1,29 +1,33 @@
 /*
- * Copyright (c) 1995 Landon Curt Noll
+ * lucas_chk - test all primes of the form h*2^n-1, 1<=h<200 and n <= high_n
  *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice and text
- * this comment, and the disclaimer below appear in all of the following:
+ * Copyright (C) 1999  Landon Curt Noll
  *
- *	supporting documentation
- *	source copies
- *	source works derived from this source
- *	binaries derived from this source or from derived source
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
  *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
  *
- *	Landon Curt Noll
- *	http://reality.sgi.com/chongo/
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
- *	chongo <was here> /\../\
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: lucas_chk.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/lucas_chk.cal,v $
+ *
+ * Under source code control:	1991/01/11 05:41:43
+ * File existed as early as:	1991
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
+
 /*
  * primes of the form h*2^n-1 for 1<=h<200 and 1<=n<1000
  *
@@ -45,6 +49,7 @@
  *		199*2^221-1 is NOT prime
  */
 
+
 static prime_cnt = 1145;	/* number of primes in the list */
 
 /* h = prime parameters */
@@ -331,7 +336,7 @@ lucas_chk(high_n, quiet)
 
 		/* skip primes where h>=2^n */
 		if (highbit(h_p[i]) >= n_p[i]) {
-			if (config("lib_debug") & 3) {
+			if (config("resource_debug") & 8) {
 				print "h>=2^n skip:", h_p[i]:"*2^":n_p[i]:"-1";
 			}
 			continue;

cal/lucas_tbl.cal

@@ -1,29 +1,33 @@
 /*
- * Copyright (c) 1995 Landon Curt Noll
+ * lucas_tbl - lucasian criteria for primality tables
  *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice and text
- * this comment, and the disclaimer below appear in all of the following:
+ * Copyright (C) 1999  Landon Curt Noll
  *
- *	supporting documentation
- *	source copies
- *	source works derived from this source
- *	binaries derived from this source or from derived source
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
  *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
  *
- *	Landon Curt Noll
- *	http://reality.sgi.com/chongo/
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
- *	chongo <was here> /\../\
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: lucas_tbl.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/lucas_tbl.cal,v $
+ *
+ * Under source code control:	1991/01/26 02:43:43
+ * File existed as early as:	1991
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
+
 /*
  * Lucasian criteria for primality
  *
@@ -45,6 +49,7 @@
  * is not found in Table 1.
  */
 
+
 trymax = 100;
 mat d_val[trymax+1];
 mat a_val[trymax+1];
@@ -152,7 +157,7 @@ d_val[97]=1045;	 a_val[97]=33;	b_val[97]=1;  r_val[97]=44;
 d_val[99]=9797;	 a_val[99]=97;	b_val[99]=1;  r_val[99]=388;
 d_val[100]=  51; a_val[100]= 7; b_val[100]=1; r_val[100]=2;
 
-if (config("lib_debug") & 3) {
+if (config("resource_debug") & 3) {
     print "d_val[100] defined";
     print "a_val[100] defined";
     print "b_val[100] defined";

cal/mersenne.cal

@@ -0,0 +1,61 @@
+/*
+ * mersenne - perform a primality test of 2^p-1, for prime p>1
+ *
+ * Copyright (C) 1999  David I. Bell and Landon Curt Noll
+ *
+ * Primary author:  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: mersenne.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/mersenne.cal,v $
+ *
+ * Under source code control:	1991/05/22 21:56:36
+ * File existed as early as:	1991
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * NOTE: See lucas.cal for a more general routine.
+ */
+
+
+define mersenne(p)
+{
+	local u, i, p_mask;
+
+	/* firewall */
+	if (! isint(p))
+		quit "p is not an integer";
+
+	/* two is a special case */
+	if (p == 2)
+		return 1;
+
+	/* if p is not prime, then 2^p-1 is not prime */
+	if (! ptest(p,1))
+		return 0;
+
+	/* lltest: u(i+1) = u(i)^2 - 2 mod 2^p-1 */
+	u = 4;
+	for (i = 2; i < p; ++i) {
+		u = hnrmod(u^2 - 2, 1, p, -1);
+	}
+
+	/* 2^p-1 is prime iff u(p) = 0 mod 2^p-1 */
+	return (u == 0);
+}

cal/mfactor.cal

@@ -1,31 +1,33 @@
 /*
- * Copyright (c) 1997 Landon Curt Noll
+ * mfactor - return the lowest factor of 2^n-1, for n > 0
  *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice and text
- * this comment, and the disclaimer below appear in all of the following:
+ * Copyright (C) 1999  Landon Curt Noll
  *
- *	supporting documentation
- *	source copies
- *	source works derived from this source
- *	binaries derived from this source or from derived source
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
  *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
  *
- *	Landon Curt Noll
- *	http://reality.sgi.com/chongo/
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
- *	chongo <was here> /\../\
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: mfactor.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/mfactor.cal,v $
+ *
+ * Under source code control:	1996/07/06 06:09:40
+ * File existed as early as:	1996
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
-
 /*
  * hset method
  *
@@ -259,7 +261,7 @@ define mfactor(n, start_k, rept_loop, p_elim)
 	} else {
 		/* report this loop */
 		printf("at 2*%d*%d+1, cpu: %f\n",
-			(q-1)/(2*n), n, runtime());
+			(q-1)/(2*n), n, usertime());
 		fflush(files(1));
 		loop = 0;
 	}
@@ -272,7 +274,7 @@ define mfactor(n, start_k, rept_loop, p_elim)
 		if (rept_loop <= ++loop) {
 			/* report this loop */
 			printf("at 2*%d*%d+1, cpu: %f\n",
-				(q-1)/(2*n), n, runtime());
+				(q-1)/(2*n), n, usertime());
 			fflush(files(1));
 			loop = 0;
 		}
@@ -312,6 +314,6 @@ define mfactor(n, start_k, rept_loop, p_elim)
 	return q;
 }
 
-if (config("lib_debug") & 3) {
+if (config("resource_debug") & 3) {
 	print "mfactor(n [, start_k=1 [, rept_loop=10000 [, p_elim=17]]])"
 }

cal/mod.cal

@@ -1,12 +1,33 @@
 /*
- * Copyright (c) 1995 David I. Bell
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * mod - routines to handle numbers modulo a specified number
  *
- * Routines to handle numbers modulo a specified number.
- *	a (mod N)
+ * Copyright (C) 1999  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: mod.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/mod.cal,v $
+ *
+ * Under source code control:	1990/02/15 01:50:34
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
+
 obj mod {a};			/* definition of the object */
 
 global mod_value = 100;		/* modulus value (value of N) */
@@ -189,7 +210,7 @@ define mod_pow(a, b)
 }
 
 
-if (config("lib_debug") & 3) {
+if (config("resource_debug") & 3) {
     print "obj mod {a} defined";
     print "mod_value defined";
     print "set mod_value as needed";

cal/natnumset.cal

@@ -1,10 +1,32 @@
 /*
- * Copyright (c) 1997 Ernest Bowen
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * natnumset - functions for sets of natural numbers not exceeding a fixed bound
  *
- * By: Ernest Bowen <ernie@neumann.une.edu.au>
+ * Copyright (C) 1999  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: natnumset.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/natnumset.cal,v $
+ *
+ * Under source code control:	1997/09/07 23:53:51
+ * File existed as early as:	1997
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
+
 /*
  * Functions for sets of natural numbers not exceeding a fixed bound B.
  *
@@ -449,7 +471,7 @@ define set_plus(a) = set_sum(a);
 define interval(a, b)
 {
 	local i, j, s;
-	static tail = str("\0\1\3\7\17\37\77\177\377");
+	static tail = "\0\1\3\7\17\37\77\177\377";
 
 	if (!isint(a) || !isint(b))
 		quit "Non-integer argument for interval";

cal/pell.cal

@@ -0,0 +1,94 @@
+/*
+ * pell - solve Pell's equation
+ *
+ * Copyright (C) 1999  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: pell.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/pell.cal,v $
+ *
+ * Under source code control:	1990/02/15 01:50:34
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * Solve Pell's equation; Returns the solution X to: X^2 - D * Y^2 = 1.
+ * Type the solution to pells equation for a particular D.
+ */
+
+
+define pell(D)
+{
+	local X, Y;
+
+	X = pellx(D);
+	if (isnull(X)) {
+		print "D=":D:" is square";
+		return;
+	}
+	Y = isqrt((X^2 - 1) / D);
+	print X : "^2 - " : D : "*" : Y : "^2 = " : X^2 - D*Y^2;
+}
+
+
+/*
+ * Function to solve Pell's equation
+ * Returns the solution X to:
+ *	X^2 - D * Y^2 = 1
+ */
+define pellx(D)
+{
+	local R, Rp, U, Up, V, Vp, A, T, Q1, Q2, n;
+	local mat ans[2,2];
+	local mat tmp[2,2];
+
+	R = isqrt(D);
+	Vp = D - R^2;
+	if (Vp == 0)
+		return;
+	Rp = R + R;
+	U = Rp;
+	Up = U;
+	V = 1;
+	A = 0;
+	n = 0;
+	ans[0,0] = 1;
+	ans[1,1] = 1;
+	tmp[0,1] = 1;
+	tmp[1,0] = 1;
+	do {
+		T = V;
+		V = A * (Up - U) + Vp;
+		Vp = T;
+		A = U // V;
+		Up = U;
+		U = Rp - U % V;
+		tmp[0,0] = A;
+		ans *= tmp;
+		n++;
+	} while (A != Rp);
+	Q2 = ans[[1]];
+	Q1 = isqrt(Q2^2 * D + 1);
+	if (isodd(n)) {
+		T = Q1^2 + D * Q2^2;
+		Q2 = Q1 * Q2 * 2;
+		Q1 = T;
+	}
+	return Q1;
+}

cal/pi.cal

@@ -1,12 +1,38 @@
 /*
- * Copyright (c) 1995 David I. Bell
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * pi - various routines to calculate pi
  *
+ * Copyright (C) 1999-2004  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: pi.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/pi.cal,v $
+ *
+ * Under source code control:	1991/05/22 21:56:37
+ * File existed as early as:	1991
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
  * Calculate pi within the specified epsilon using the quartic convergence
  * iteration.
  */
 
+
 define qpi(epsilon)
 {
 	local niter, yn, ym, tm, an, am, t, tn, sqrt2, epsilon2, count, digits;
@@ -35,7 +61,7 @@ define qpi(epsilon)
 	yn = sqrt2 - 1;
 	an = 6 - 4 * sqrt2;
 	tn = 2;
-	for (count = 0; count < niter; count++) {
+	for (count = 0; count < niter; ++count) {
 		ym = yn;
 		am = an;
 		tn *= 4;
@@ -78,7 +104,7 @@ define piforever()
 		* Next approximation
 		*/
 		p = k * k;
-		q = k + k++;
+		q = k + ++k;
 
 		a2 = a;
 		b2 = b;

cal/pix.cal

@@ -0,0 +1,71 @@
+/*
+ * pix - iterative method of finding the number of primes less than x
+ *
+ * Copyright (C) 1999  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: pix.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/pix.cal,v $
+ *
+ * Under source code control:	1996/07/09 03:14:14
+ * File existed as early as:	1996
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * Here is an iterative method of finding the number of primes less than
+ * or equal to a given number.	This method is from "Computer Recreations"
+ * June 1996 issue of Scientific American.
+ *
+ * NOTE: For reasonable values of x, the builtin function pix(x) is
+ *	 much faster.  This code is provided because the method
+ *	 is interesting.
+ */
+
+
+define pi_of_x(x)
+{
+	local An;	/* A(n) */
+	local An1;	/* A(n-1) */
+	local An2;	/* A(n-2) */
+	local An3;	/* A(n-3) */
+	local primes;	/* number of primes found */
+	local n;	/* loop counter */
+
+	/*
+	 * setup
+	 */
+	An1 = 2;
+	An2 = 0;
+	An3 = 3;
+	primes = 1;
+
+	/*
+	 * main A(n+1)=A(n-1)+A(n-2) sequence loop
+	 */
+	for (n = 3; n < x; ++n) {
+		An = An2 + An3;
+		An3 = An2;
+		An2 = An1;
+		An1 = An;
+		if (An % n == 0)
+			++primes;
+	}
+	return primes;
+}

cal/pollard.cal

@@ -0,0 +1,52 @@
+/*
+ * pollard - factor using Pollard's p-1 method
+ *
+ * Copyright (C) 1999  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: pollard.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/pollard.cal,v $
+ *
+ * Under source code control:	1991/05/22 21:56:37
+ * File existed as early as:	1991
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+define pfactor(N, B, ai, af)
+{
+	local	a, k, i, d;
+
+	if (isnull(B))
+		B = 1000;
+	if (isnull(ai))
+		ai = 2;
+	if (isnull(af))
+		af = ai + 20;
+	k = lcmfact(B);
+	d = lfactor(N, B);
+	if (d > 1)
+		return d;
+	for (a = ai; a <= af; a++) {
+		i = pmod(a, k, N);
+		d = gcd(i - 1, N);
+		if ((d > 1) && (d != N))
+			return d;
+	}
+	return 1;
+}

cal/poly.cal

@@ -1,3 +1,32 @@
+/*
+ * poly - calculate with polynomials of one variable
+ *
+ * Copyright (C) 1999  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: poly.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/poly.cal,v $
+ *
+ * Under source code control:	1990/02/15 01:50:35
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
 /*
  * A collection of functions designed for calculations involving
  *	polynomials in one variable (by Ernest W. Bowen).
@@ -170,6 +199,7 @@
  *	should return the zero m x m matrix.
  */
 
+
 obj poly {p};
 
 define pol() {
@@ -688,6 +718,6 @@ a=pol(1,4,4,2,3,1);
 b=pol(5,16,8,1);
 c=pol(1+2i,3+4i,5+6i);
 
-if (config("lib_debug") & 3) {
+if (config("resource_debug") & 3) {
 	print "obj poly {p} defined";
 }

cal/prompt.cal

@@ -1,10 +1,32 @@
 /*
- * Copyright (c) 1995 Ernest Bowen
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * prompt - eemonstration of some uses of prompt() and eval()
  *
- * By: Ernest Bowen <ernie@neumann.une.edu.au>
+ * Copyright (C) 1999  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: prompt.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/prompt.cal,v $
+ *
+ * Under source code control:	1995/12/18 04:43:25
+ * File existed as early as:	1995
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
+
 /*
  * Demonstration of some uses of prompt() and eval().
  *
@@ -61,6 +83,7 @@
  * entering "end", "exit" or "quit".
  */
 
+
 define adder() {
 	global sum = 0;
 	local s, t;
@@ -78,7 +101,7 @@ define adder() {
 	}
 }
 
-global x;
+global prompt_x;
 
 define showvalues(str) {
 	local s;
@@ -86,8 +109,8 @@ define showvalues(str) {
 		s = prompt("? ");
 		if (s == "end")
 			break;
-		x = eval(s);
-		if (!isnum(x)) {
+		prompt_x = eval(s);
+		if (!isnum(prompt_x)) {
 			print "Please enter a number";
 			continue;
 		}

cal/psqrt.cal

@@ -0,0 +1,74 @@
+/*
+ * psqrt - calculate square roots modulo a prime
+ *
+ * Copyright (C) 1999  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: psqrt.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/psqrt.cal,v $
+ *
+ * Under source code control:	1990/02/15 01:50:35
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * Returns null if number is not prime or if there is no square root.
+ * The smaller square root is always returned.
+ */
+
+
+define psqrt(u, p)
+{
+	local	p1, q, n, y, r, v, w, t, k;
+
+	p1 = p - 1;
+	r = lowbit(p1);
+	q = p >> r;
+	t = 1 << (r - 1);
+	for (n = 2; ; n++) {
+		if (ptest(n, 1) == 0)
+			continue;
+		y = pmod(n, q, p);
+		k = pmod(y, t, p);
+		if (k == 1)
+			continue;
+		if (k != p1)
+			return;
+		break;
+	}
+	t = pmod(u, (q - 1) / 2, p);
+	v = (t * u) % p;
+	w = (t^2 * u) % p;
+	while (w != 1) {
+		k = 0;
+		t = w;
+		do {
+			k++;
+			t = t^2 % p;
+		} while (t != 1);
+		if (k == r)
+			return;
+		t = pmod(y, 1 << (r - k - 1), p);
+		y = t^2 % p;
+		v = (v * t) % p;
+		w = (w * y) % p;
+		r = k;
+	}
+	return min(v, p - v);
+}

cal/qtime.cal

@@ -0,0 +1,90 @@
+/*
+ * qtime - Display time as English sentence
+ *
+ * Copyright (C) 1999  Klaus Alexander Seistrup and Landon Curt Noll
+ *
+ * Written by: Klaus Alexander Seistrup <kseis@magnetic-ink.dk>
+ * With mods by: Landon Curt Noll <http://www.isthe.com/chongo/>
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: qtime.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/qtime.cal,v $
+ *
+ * Under source code control:	1999/10/13 04:10:33
+ * File existed as early as:	1999
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * usage:
+ *	qtime(utc_hr_offset)
+ *
+ *	utc_hr_offset	Offset from UTC in hours.
+ *
+ * See:
+ *	http://www.magnetic-ink.dk/download/qtime.html
+ *
+ * for examples of qtime() written on other languages.
+ */
+
+
+/*
+ * qtime - Display time as English sentence
+ */
+define qtime(utc_hr_offset)
+{
+	static mat hr[12] = {
+	  "twelve", "one", "two", "three", "four", "five",
+	  "six", "seven", "eight", "nine", "ten", "eleven"
+	};
+	static mat mn[7] = {
+	  "", "five ", "ten ", "a quarter ", "twenty ", "twenty-five ", "half "
+	};
+	static mat ny[5] = {
+	  "nearly ", "almost ", "", "just after ", "after "
+	};
+	static mat up[3] = {
+	  "to ", "", "past "
+	};
+	local adj_mins = (((time() + utc_hr_offset*3600) % 86400) + 30)//60+27;
+	local hours = (adj_mins // 60) % 12;
+	local minutes = adj_mins % 60;
+	local almost =	minutes % 5;
+	local divisions = (minutes // 5) - 5;
+	local to_past_idx =	 divisions > 0 ? 1 : 0;
+
+	if (divisions < 0) {
+		divisions = -divisions;
+		to_past_idx = -1;
+	}
+	++to_past_idx;
+
+	/*
+	 * Print the English sentence
+	 *
+	 * We avoid forward and back quotes just to show that the char()
+	 * builtin function can be used in conjunction with a printf.
+	 */
+	printf("It%cs %s%s%s%s",
+	       char(0x27), ny[almost], mn[divisions],
+	       up[to_past_idx], hr[hours]);
+	if (divisions == 0)
+		printf(" o%cclock", char(0x27));
+	print ".";
+}

cal/quat.cal

@@ -1,8 +1,33 @@
 /*
- * Copyright (c) 1995 David I. Bell
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * quat - alculate using quaternions of the form: a + bi + cj + dk
  *
+ * Copyright (C) 1999  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: quat.cal,v 30.2 2013/08/11 08:41:38 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/quat.cal,v $
+ *
+ * Under source code control:	1990/02/15 01:50:35
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
  * Routines to handle quaternions of the form:
  *	a + bi + cj + dk
  *
@@ -11,6 +36,7 @@
  * Where s is a scalar and v is a vector of size 3.
  */
 
+
 obj quat {s, v};		/* definition of the quaternion object */
 
 
@@ -29,7 +55,8 @@ define quat(a,b,c,d)
 
 define quat_print(a)
 {
-	print "quat(" : a.s : ", " : a.v[0] : ", " : a.v[1] : ", " : a.v[2] : ")" :;
+	print "quat(" : a.s : ", " : a.v[0] : ", " :
+	      a.v[1] : ", " : a.v[2] : ")" :;
 }
 
 
@@ -195,6 +222,6 @@ define quat_shift(a, b)
 	return x.s;
 }
 
-if (config("lib_debug") & 3) {
+if (config("resource_debug") & 3) {
     print "obj quat {s, v} defined";
 }

cal/randbitrun.cal

@@ -1,30 +1,38 @@
 /*
  * randbitrun - check rand bit run lengths of the a55 generator
  *
+ * Copyright (C) 1999  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: randbitrun.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/randbitrun.cal,v $
+ *
+ * Under source code control:	1995/02/13 03:43:11
+ * File existed as early as:	1995
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
  * We will use randbit(1) to generate a stream if single bits.
  * The odds that we will have n bits the same in a row is 1/2^n.
  */
-/*
- * Copyright 1995 by Landon Curt Noll.	All Rights Reserved.
- *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice, and the
- * disclaimer below appear in all of the following:
- *
- *	* supporting documentation
- *	* source copies
- *	* source works derived from this source
- *	* binaries derived from this source or from derived source
- *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
- */
+
 
 define randbitrun(run_cnt)
 {

cal/randmprime.cal

@@ -1,32 +1,34 @@
 /*
  * randmprime - generate a random prime of the form h*2^n-1
  *
- * Copyright (c) 1997 by Landon Curt Noll.  All Rights Reserved.
+ * Copyright (C) 1999  Landon Curt Noll
  *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice and text
- * this comment, and the disclaimer below appear in all of the following:
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
  *
- *	supporting documentation
- *	source copies
- *	source works derived from this source
- *	binaries derived from this source or from derived source
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
  *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
- *	Landon Curt Noll
- *	http://reality.sgi.com/chongo/
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: randmprime.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/randmprime.cal,v $
  *
- *	chongo <was here> /\../\
+ * Under source code control:	1994/03/14 23:11:21
+ * File existed as early as:	1994
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
+
 /* obtain our required libs */
 read -once "lucas.cal"
 
@@ -86,8 +88,8 @@ randmprime(bits, seed, dbg)
      * loop until we find a prime
      */
     if (dbg >= 1) {
-	start = runtime();
-	init = runtime();
+	start = usertime();
+	init = usertime();
 	plush = 0;
 	print "DEBUG1: testing (h+" : plush : ")*2^" : n : "-1";
     }
@@ -95,7 +97,7 @@ randmprime(bits, seed, dbg)
 
 	/* bump h, and n if needed */
 	if (dbg >= 2) {
-	    stop = runtime();
+	    stop = usertime();
 	    print "DEBUG2: last test:", stop-start, "	total time:", stop-init;
 	}
 	if (dbg >= 1) {
@@ -114,7 +116,7 @@ randmprime(bits, seed, dbg)
 
     /* found a prime */
     if (dbg >= 2) {
-	stop = runtime();
+	stop = usertime();
 	print "DEBUG2: last test:", stop-start, "   total time:", stop-init;
 	print "DEBUG3: " : h : "*2^" : n : "-1 is prime";
     }

cal/randombitrun.cal

@@ -1,30 +1,38 @@
 /*
  * randombitrun - check rand bit run lengths of random()
  *
+ * Copyright (C) 1999  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: randombitrun.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/randombitrun.cal,v $
+ *
+ * Under source code control:	1995/02/13 03:43:11
+ * File existed as early as:	1995
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
  * We will use randombit(1) to generate a stream if single bits.
  * The odds that we will have n bits the same in a row is 1/2^n.
  */
-/*
- * Copyright 1997 by Landon Curt Noll.	All Rights Reserved.
- *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice, and the
- * disclaimer below appear in all of the following:
- *
- *	* supporting documentation
- *	* source copies
- *	* source works derived from this source
- *	* binaries derived from this source or from derived source
- *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
- */
+
 
 define randombitrun(run_cnt)
 {

cal/randomrun.cal

@@ -1,6 +1,34 @@
 /*
  * randomrun - perform a run test on random()
  *
+ * Copyright (C) 1999  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: randomrun.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/randomrun.cal,v $
+ *
+ * Under source code control:	1997/02/19 03:35:59
+ * File existed as early as:	1997
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
  * If X(j) < X(j+1) < ... X(j+k) >= X(j+k+1), then we have a run of 'k'.
  * We ignore the run breaker, X(j+k+1), and start with X(j+k+2) when
  * considering a new run in order to make our runs chi independent.
@@ -13,27 +41,7 @@
  * We use the suggestion in problem #14 to allow an application of the
  * chi-square test and to make estimating the run length probs easy.
  */
-/*
- * Copyright 1997 by Landon Curt Noll.	All Rights Reserved.
- *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice, and the
- * disclaimer below appear in all of the following:
- *
- *	* supporting documentation
- *	* source copies
- *	* source works derived from this source
- *	* binaries derived from this source or from derived source
- *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
- */
+
 
 define randomrun(run_cnt)
 {

cal/randrun.cal

@@ -1,6 +1,33 @@
 /*
  * randrun - perform a run test on rand()
  *
+ * Copyright (C) 1999  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: randrun.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/randrun.cal,v $
+ *
+ * Under source code control:	1995/02/12 20:00:06
+ * File existed as early as:	1995
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
  * If X(j) < X(j+1) < ... X(j+k) >= X(j+k+1), then we have a run of 'k'.
  * We ignore the run breaker, X(j+k+1), and start with X(j+k+2) when
  * considering a new run in order to make our runs chi independent.
@@ -13,27 +40,7 @@
  * We use the suggestion in problem #14 to allow an application of the
  * chi-square test and to make estimating the run length probs easy.
  */
-/*
- * Copyright 1995 by Landon Curt Noll.	All Rights Reserved.
- *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice, and the
- * disclaimer below appear in all of the following:
- *
- *	* supporting documentation
- *	* source copies
- *	* source works derived from this source
- *	* binaries derived from this source or from derived source
- *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
- */
+
 
 define randrun(run_cnt)
 {
@@ -122,6 +129,6 @@ define randrun(run_cnt)
     printf("max length=%d\n", max_run);
 }
 
-if (config("lib_debug") & 3) {
+if (config("resource_debug") & 3) {
     print "randrun([run_length]) defined";
 }

cal/repeat.cal

@@ -0,0 +1,53 @@
+/*
+ * repeat - return the value of a repeated set of digits
+ *
+ * Copyright (C) 2003  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: repeat.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/repeat.cal,v $
+ *
+ * Under source code control:	2003/01/05 00:00:01
+ * File existed as early as:	2003
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+/*
+ * repeat - return the value of a repeated set of digits
+ *
+ * usage:
+ *	repeat(digit_set, repeat_count)
+ */
+define repeat(digit_set, repeat_count)
+{
+    local digit_count;	/* digits in the digit_set */
+
+    /* firewall */
+    if (!isint(digit_set) || digit_set <= 0) {
+	quit "digit set must be an integer > 0";
+    }
+    if (!isint(repeat_count) || repeat_count <= 0) {
+	quit "repeat count must be an integer > 0";
+    }
+
+    /* return repeated set of digits */
+    digit_count = digits(digit_set);
+    return digit_set * (10^(digit_count*repeat_count)-1) / (10^digit_count-1);
+}

cal/screen.cal

@@ -0,0 +1,61 @@
+/*
+ * screen - ANSI control sequences
+ *
+ * This file was created by Ernest Bowen <ebowen at une dot edu dot au>.
+ *
+ * This code has been placed in the public domain.  Please do not
+ * copyright this code.
+ *
+ * ERNEST BOWEN DISCLAIMS ALL WARRANTIES WITH  REGARD  TO
+ * THIS	 SOFTWARE,  INCLUDING  ALL IMPLIED WARRANTIES OF MER-
+ * CHANTABILITY AND FITNESS.  IN NO EVENT SHALL	 LANDON	 CURT
+ * NOLL	 BE LIABLE FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL
+ * DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM  LOSS  OF
+ * USE,	 DATA  OR  PROFITS, WHETHER IN AN ACTION OF CONTRACT,
+ * NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR  IN
+ * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: screen.cal,v 30.2 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/screen.cal,v $
+ *
+ * This file is not covered under version 2.1 of the GNU LGPL.
+ *
+ * Under source code control:	2006/03/08 05:54:09
+ * File existed as early as:	2006
+ */
+
+up = CUU ="\e[A";
+down = CUD = "\e[B}";
+forward = CUF = "\e[C";
+back = CUB = "\e[D";
+save = SCP = "\e[s";
+restore = RCP = "\e[u";
+cls = "\e[2J";
+home = "\e[F";
+eraseline = "\e[K";
+off = "\e[0m";
+bold = "\e[1m";
+faint = "\e[2m";
+italic = "\e[3m";
+blink = "\e[5m";
+rapidblink = "\e[6m";
+reverse = "\e[7m";
+concealed = "\e[8m";
+/* Lowercase indicates foreground, uppercase background" */
+black = "\e[30m";
+red = "\e[31m";
+green = "\e[32m";
+yellow = "\e[33m";
+blue = "\e[34m";
+magenta = "\e[35m";
+cyan = "\e[36m";
+white = "\e[37m";
+Black = "\e[40m";
+Red = "\e[41m";
+Green = "\e[42m";
+Yellow = "\e[43m";
+Blue = "\e[44m";
+Magenta = "\e[45m";
+Cyan = "\e[46m";
+White = "\e[47m";

cal/seedrandom.cal

@@ -1,35 +1,35 @@
-/*
- * Copyright (c) 1996 Landon Curt Noll
- *
- * Permission to use, copy, modify, and distribute this software and
- * its documentation for any purpose and without fee is hereby granted,
- * provided that the above copyright, this permission notice and text
- * this comment, and the disclaimer below appear in all of the following:
- *
- *	supporting documentation
- *	source copies
- *	source works derived from this source
- *	binaries derived from this source or from derived source
- *
- * LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO
- * EVENT SHALL LANDON CURT NOLL BE LIABLE FOR ANY SPECIAL, INDIRECT OR
- * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF
- * USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
- * OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
- * PERFORMANCE OF THIS SOFTWARE.
- *
- *	Landon Curt Noll
- *	http://reality.sgi.com/chongo/
- *
- *	chongo <was here> /\../\
- */
-
 /*
  * seedrandom - seed the cryptographically strong Blum generator
  *
+ * Copyright (C) 1999  Landon Curt Noll
  *
- * The period of a  Blum generators with modulus 'n=p*q' (where p and
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: seedrandom.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/seedrandom.cal,v $
+ *
+ * Under source code control:	1996/01/01 08:21:00
+ * File existed as early as:	1996
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * The period of Blum generators with modulus 'n=p*q' (where p and
  * q are primes 3 mod 4) is:
  *
  *	lambda(n) = lcm(factors of p-1 & q-1)
@@ -53,6 +53,8 @@
  * NOTE: The [10^20, 10^314) range comes from the fact that the 13th internal
  *	 modulus is ~10^315.  We want the lower bound seed to be reasonably big.
  */
+
+
 define seedrandom(seed1, seed2, size, trials)
 {
 	local p;		/* first Blum prime */
@@ -113,7 +115,7 @@ define seedrandom(seed1, seed2, size, trials)
 			p = 2*fp+1;
 		} while (ptest(p,1,0) == 0);
 	} while(ptest(p, trials) == 0 || ptest(fp, trials) == 0);
-	if (config("lib_debug") & 3) {
+	if (config("resource_debug") & 8) {
 		print "/* 1st Blum prime */ p=", p;
 	}
 
@@ -127,7 +129,7 @@ define seedrandom(seed1, seed2, size, trials)
 			q = 2*fq+1;
 		} while (ptest(q,1,0) == 0);
 	} while(ptest(q, trials) == 0 || ptest(fq, trials) == 0);
-	if (config("lib_debug") & 3) {
+	if (config("resource_debug") & 8) {
 		print "/* 2nd Blum prime */ q=", q;
 	}
 
@@ -137,7 +139,7 @@ define seedrandom(seed1, seed2, size, trials)
 	n = p*q;				/* the Blum modulus */
 	binsize = highbit(n)+1;			/* smallest power of 2 > p*q */
 	r = pmod(rand(1<<ceil(binsize*4/5), 1<<(binsize-2)), 2, n);
-	if (config("lib_debug") & 3) {
+	if (config("resource_debug") & 8) {
 		print "/* seed quadratic residue */ r=", r;
 		print "/* newn", binsize, "bit quadratic residue*/ newn=", n;
 	}
@@ -154,6 +156,6 @@ define seedrandom(seed1, seed2, size, trials)
 	return old_state;
 }
 
-if (config("lib_debug") & 3) {
+if (config("resource_debug") & 3) {
     print "seedrandom(seed1, seed2, size [, trials]) defined";
 }

cal/set8700.cal

@@ -0,0 +1,77 @@
+/*
+ * set8700 - environment for dotest line tests for the 8700 set of regress.cal
+ *
+ * Copyright (C) 2006  Ernest Bowen and Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: set8700.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/set8700.cal,v $
+ *
+ * Under source code control:	2006/05/20 14:10:11
+ * File existed as early as:	2006
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+/*
+ * setup global variables for dotest() to use with set8700.set
+ */
+
+global set8700_A;
+global set8700_B;
+global set8700_M;
+global set8700_M1;
+global set8700_M2;
+global set8700_L;
+global set8700_L1;
+global set8700_L2;
+global set8700_O;
+global set8700_P;
+global set8700_P1;
+global set8700_P2;
+global set8700_Q;
+global set8700_R;
+global set8700_S;
+global set8700_X;
+global set8700_Y;
+global set8700_x;
+global set8700_y;
+
+define set8700_getA1() = set8700_A;
+
+define set8700_getA2() { return set8700_A; }
+
+define set8700_getvar() {local a = 42; protect(a,256); return a;}
+
+define set8700_f(set8700_x) = set8700_x^2;
+
+define set8700_g(set8700_x)
+{
+    if (isodd(set8700_x)) protect(set8700_x, 256);
+    return set8700_x;
+}
+
+obj set8700_point {
+	set8700_x, set8700_y, set8700_z
+}
+
+global mat set8700_c[] = { 1, 2+3i, -5+4i, 5i+6, -7i };
+
+global mat set8700_e[] = { 0, 1, 0, 0, 2, -3/2, 2, -1/2,
+			   -3, 0.5, -1.0, 0.5, 1.0, 0.0, 0.0, 0.0 };

cal/set8700.line

@@ -0,0 +1,429 @@
+##
+## set8700 - dotest line tests for the 8700 set of regress.cal
+##
+## Copyright (C) 2006  Ernest Bowen and Landon Curt Noll
+##
+## Calc is open software; you can redistribute it and/or modify it under
+## the terms of the version 2.1 of the GNU Lesser General Public License
+## as published by the Free Software Foundation.
+##
+## Calc is distributed in the hope that it will be useful, but WITHOUT
+## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+## or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+## Public License for more details.
+##
+## A copy of version 2.1 of the GNU Lesser General Public License is
+## distributed with calc under the filename COPYING-LGPL.  You should have
+## received a copy with calc; if not, write to Free Software Foundation, Inc.
+## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+##
+## @(#) $Revision: 30.1 $
+## @(#) $Id: set8700.line,v 30.1 2007/03/16 11:09:54 chongo Exp $
+## @(#) $Source: /usr/local/src/bin/calc/cal/RCS/set8700.line,v $
+##
+## Under source code control:	2006/05/20 14:10:11
+## File existed as early as:	2006
+##
+## chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+## Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+
+
+strcpy("", "") == ""
+strcpy("", "xyz") == ""
+strcpy("a", "xyz") == "x"
+strcpy("ab", "xyz") == "xy"
+strcpy("abc", "xyz") == "xyz"
+strcpy("abcd", "xyz") == "xyz\0"  ## Result will print as "xyz"
+strcpy("abcde", "xyz") == "xyz\0e"
+strcpy("abcdef", "xyz") == "xyz\0ef"
+strcpy("abcdef", "x\0z") == "x\0z\0ef" ## Note z is copied
+strcpy("abc", "") == "\0bc"
+
+strncpy("abcdef", "xyz", 0) == "abcdef" ## No characters copied
+strncpy("abcdef", "xyz", 1) == "xbcdef" ## One character copied, no '\0'
+strncpy("abcdef", "xyz", 2) == "xycdef"
+strncpy("abcdef", "xyz", 3) == "xyzdef"
+strncpy("abcdef", "xyz", 4) == "xyz\0ef"
+strncpy("abcdef", "xyz", 5) == "xyz\0\0f" ## Two nulls as in C
+strncpy("abcdef", "xyz", 6) == "xyz\0\0\0"
+strncpy("abcdef", "xyz", 7) == "xyz\0\0\0" ## Size of first string unchanged
+strncpy("a\0cdef", "\0yz", 4) == "\0yz\0ef"
+strncpy("ab", "xyz", 3) == "xy"
+
+strcmp("", "") == 0
+strcmp("", "a") == -1
+strcmp("\n", "\n") == 0
+strcmp("\0", "") == 1		## '\0' treated like other characters
+strcmp("ab", "") == 1
+strcmp("ab", "a") == 1
+strcmp("ab", "ab") == 0
+strcmp("ab", "abc") == -1
+strcmp("abc", "abb") == 1
+strcmp("abc", "abc") == 0
+strcmp("abc", "abd") == -1
+strcmp("abc\0", "abc") == 1
+
+strncmp("abc", "xyz", 0) == 0
+strncmp("abc", "xyz", 1) == -1
+strncmp("abc", "", 1) == 1
+strncmp("abc", "a", 1) == 0
+strncmp("", "", 2) == 0
+strncmp("a", "a", 2) == 0
+strncmp("a", "b", 2) == -1
+strncmp("ab", "ab", 2) == 0
+strncmp("ab", "ac", 2) == -1
+strncmp("\0ac", "\0b", 2) == -1
+strncmp("ab", "abc", 2) == 0
+strncmp("abc", "abd", 2) == 0
+strncmp("a", "a\0", 2) == -1
+strncmp("a", "a", 3) == 0
+strncmp("abc", "abd", 3) == -1
+strncmp("\0\0\n", "\0\0\t", 3) == 1
+
+str("abc") == "abc"
+str("ab\0") == "ab"
+str("a\0c") == "a"
+str("\0bc") == ""
+
+size("") == 0
+size("a") == 1
+size("\0") == 1
+size("a\0") == 2
+size("a\0b") == 3
+
+strlen("\0") == 0
+strlen("a\0") == 1
+strlen("a\0b") == 1
+
+0 * "abc" == ""
+1 * "abc" == "abc"
+2 * "abc" == "abcabc"
+3 * "abc" == "abcabcabc"
+1 * "" == ""
+-1 * "abc" == "cba"
+-2 * "abc" == "cbacba"
+"abc" + "xyz" == "abcxyz"
+"abc" - "xyz" == "abczyx"
+
+
+substr("abcd",0,0) == ""
+substr("abcd",0,1) == "a"
+substr("abcd",0,2) == "ab"
+substr("abcd",1,0) == ""
+substr("abcd",1,1) == "a"
+substr("abcd",1,2) == "ab"
+substr("abcd",2,0) == ""
+substr("abcd",2,1) == "b"
+substr("abcd",2,2) == "bc";
+substr("abcd",2,3) == "bcd";
+substr("abcd",2,4) == "bcd";
+substr("abcd",2,5) == "bcd"; ## substr stops at end of string
+substr("abcd",4,0) == ""
+substr("abcd",4,1) == "d"
+substr("abcd",4,2) == "d"
+substr("abcd",4,3) == "d"
+substr("abcd",5,0) == ""
+substr("abcd",5,1) == ""
+substr("a\0c\0",2,2) == "\0c"  ## '\0' treated like other characters
+substr("a\0c\0",2,3) == "\0c\0"
+
+#"" == 0	## # operator counts number of bits
+#"\0" == 0
+# "a" == 3
+   #	  "ab" == 6	## white space ignored
+# "abc" == 10
+# 27 == 4
+# 0b1010111011 == 7
+
+7 # 9 == 2		## 7 # 9 = abs(7 - 9)
+3/4 # 2/3 == 1/12
+
+a = 5, a #= 2, a == 3
+a #= 4, a == 1
+
+## Binary # operator not defined for strings
+
+protect(set8700_A) == 0
+## Testing with one lvalue
+isnull(protect(set8700_A,65))
+protect(set8700_A) == 65
+isnull(protect(set8700_A, -1))
+protect(set8700_A) == 64
+protect(set8700_A,-2), protect(set8700_A) == 64
+protect(set8700_A,5), protect(set8700_A) == 69
+protect(set8700_A,-4), protect(set8700_A) == 65
+protect(set8700_A,0), protect(set8700_A) == 0
+protect(set8700_A,1234), protect(set8700_A) == 1234
+protect(set8700_A,-1234), protect(set8700_A) == 0
+protect(set8700_A,65535), protect(set8700_A) == 65535
+protect(set8700_A,-65535), protect(set8700_A) == 0
+
+## Simple assignments
+set8700_A = 42, protect(set8700_A,1024), set8700_B = set8700_A, protect(set8700_B) == 1024
+set8700_A = 6 * 7, protect(set8700_A) == 1024
+set8700_A == set8700_B
+
+## Testing matrix protectioon
+set8700_A = mat [3] = {1, 2, list(3,4)}; 1
+protect(set8700_A, 65, 1), protect(set8700_A) == 1089
+protect(set8700_A[0]) == 65
+protect(set8700_A[2]) == 65
+protect(set8700_A[2][1]) == 0
+protect(set8700_A, 65, 2), protect(set8700_A[2][1]) == 65
+protect(set8700_A,-1024), protect(set8700_A) == 65
+protect(set8700_A, -1, 1), protect(set8700_A) == 64
+protect(set8700_A[1]) == 64
+protect(set8700_A[2]) == 64
+protect(set8700_A[2][0]) == 65
+protect(set8700_A,0), protect(set8700_A) == 0
+protect(set8700_A[1]) == 64
+protect(set8700_A, 0, 2), protect(set8700_A) == 0
+protect(set8700_A[1]) == 0
+protect(set8700_A[2][1]) == 0
+protect(set8700_A,1024, 2), protect(set8700_A) == 1024
+protect(set8700_A[2]) == 1024
+protect(set8700_A[2][0], 512), protect(set8700_A[2][0]) == 1536
+
+## Testing simple assignment of matrix
+set8700_B = set8700_A, protect(set8700_B) == 1024	## protect(set8700_A) copied
+protect(set8700_B[2]) == 1024		## protect(set8700_A[2]) copied
+protect(set8700_B[2][0]) == 1536	## protect(set8700_A[2][0]) copied
+
+## copying matrix to list
+set8700_B = list(5,6,7), protect(set8700_B) == 1024
+protect(set8700_B[0]) == 0
+protect(set8700_B[2]) == 0
+protect(set8700_A,0), protect(set8700_A) == 0
+copy(set8700_A,set8700_B), set8700_B[0] == 1 && set8700_B[1] == 2
+set8700_B[2] == list(3,4)
+protect(set8700_B) == 1024		## protect(set8700_A) not copied
+protect(set8700_B[0]) == 1024		## protect(set8700_A[0]) copied
+protect(set8700_B[2][0]) == 1536	## protect(set8700_A[2][0]) copied
+
+## copying matrix to matrix
+set8700_B = mat[3], protect(set8700_B) == 1024
+protect(set8700_B[2]) == 0
+copy(set8700_A,set8700_B), set8700_B[0] == 1 && set8700_B[1] == 2
+set8700_B[2] == list(3,4)
+protect(set8700_B) == 1024		## protect(set8700_A) not copied
+protect(set8700_B[0]) == 1024		## protect(set8700_A[0]) copied
+protect(set8700_B[2][0]) == 1536	## protect(set8700_A[2][0]) copied
+
+## Testing list protection
+set8700_A = list(1, 2, list(3,4)), 1
+protect(set8700_A,1024, 2), protect(set8700_A) == 1024
+protect(set8700_A[2]) == 1024
+protect(set8700_A[2][0], 512), protect(set8700_A[2][0]) == 1536
+
+## Simple assignment of list
+set8700_B = set8700_A, protect(set8700_B) == 1024	## protect(set8700_A) copied
+protect(set8700_B[2]) == 1024		## protect(set8700_A[2]) copied
+protect(set8700_B[2][0]) == 1536	## protect(set8700_A[2][0]) copied
+
+## Copying list to list
+set8700_B = list(5,6,7), protect(set8700_B) == 1024
+protect(set8700_B[2]) == 0
+copy(set8700_A,set8700_B), set8700_B[0] == 1 && set8700_B[1] == 2
+set8700_B[2] == list(3,4)
+protect(set8700_B) == 1024		## protect(set8700_A) not copied
+protect(set8700_B[0]) == 1024		## protect(set8700_A[0]) copied
+protect(set8700_B[2][0]) == 1536	## protect(set8700_A[2][0]) copied
+
+## Copying list to matrix
+set8700_B = mat[3], protect(set8700_B) == 1024
+protect(set8700_B[2]) == 0
+copy(set8700_A,set8700_B), set8700_B[0] == 1 && set8700_B[1] == 2
+set8700_B[2] == list(3,4)
+protect(set8700_B) == 1024
+protect(set8700_B[0]) == 1024		## protect(set8700_A[0]) copied
+protect(set8700_B[2][0]) == 1536	## protect(set8700_A[2][0]) copied
+
+## Protecting one element of a list
+set8700_A = list(1,4,3,2), protect(set8700_A[1]) == 0
+protect(set8700_A[1], 1024), protect(set8700_A[1]) == 1024
+
+## Testing sort
+set8700_A = sort(set8700_A), set8700_A == list(1,2,3,4)
+protect(set8700_A[1]) == 0
+protect(set8700_A[3]) == 1024		## status of 4
+
+## Testings reverse
+set8700_A = reverse(set8700_A), set8700_A == list(4,3,2,1)
+protect(set8700_A[0]) == 1024		## status of 4
+
+## Testing swap
+swap(set8700_A[0], set8700_A[1]), set8700_A == list(3,4,2,1)
+protect(set8700_A[0]) == 0		## status moved
+protect(set8700_A[1]) == 1024		## 4 retains protection
+
+## Testing list with protected list argument
+protect(set8700_A, 0), protect(set8700_A) == 0
+protect(set8700_A, 512), protect(set8700_A) == 512
+protect(set8700_A[1]) == 1024
+set8700_L = list(1,set8700_A,3), protect(set8700_L) == 0
+protect(set8700_L[0]) == 0
+protect(set8700_L[1]) == 512		## protect(set8700_A) copied
+protect(set8700_L[1][1]) == 1024	## protect(set8700_A[1]) copied
+
+## Testing list with "intialization"
+set8700_L = list(1,2,3), protect(set8700_L) == 0
+protect(set8700_L[0]) | protect(set8700_L[1]) | protect(set8700_L[2]) == 0	## All zero
+set8700_L = {1,set8700_A}, set8700_L[1] == set8700_A
+protect(set8700_L[1]) == 512		## protect(set8700_A) copied
+protect(set8700_L[1][1]) == 1024	## protect(set8700_A[1]) copied
+set8700_L[1] = 2, protect(set8700_L[1]) == 512	## Not changed
+
+## Testing matrix with "initialization"
+set8700_M = mat[3] = {1,set8700_A}, protect(set8700_M) == 0
+protect(set8700_M[0]) == 0
+protect(set8700_M[1]) == 512		## protect(set8700_A) copied
+protect(set8700_M[2]) == 0
+protect(set8700_M[1][1]) == 1024	## protect(set8700_A[1]) copied
+
+## Testing push, pop, append, remove
+set8700_A = list(1,2), protect(set8700_A,0,1), protect(set8700_A[0]) == 0
+protect(set8700_A[0], 256), protect(set8700_A[0]) == 256
+protect(set8700_A[1]) == 0
+append(set8700_A, pop(set8700_A)), protect(set8700_A[0]) ==  0
+protect(set8700_A[1]) == 256
+push(set8700_A, remove(set8700_A)), protect(set8700_A[0]) == 256
+protect(set8700_A[1]) == 0
+
+## Testing operation-assignments
+set8700_A = 5, protect(set8700_A,1024), protect(set8700_A) == 1024
+protect(set8700_A, 1024), set8700_A = 7, protect(set8700_A) == 1024
+protect(set8700_A,1024), set8700_A += 2, protect(set8700_A) == 1024
+protect(set8700_A,1024), set8700_A *= 2, protect(set8700_A) == 1024
+protect(set8700_A,1024), set8700_A |= 2, protect(set8700_A) == 1024
+protect(set8700_A,1024), set8700_A &= 2, protect(set8700_A) == 1024
+protect(set8700_A,1024), set8700_A ^= 2, protect(set8700_A) == 1024
+
+protect(set8700_B,0), set8700_B = set8700_getA1(), protect(set8700_B) == 1024
+protect(set8700_B,0), set8700_B = set8700_getA2(), protect(set8700_B) == 1024
+set8700_B = set8700_getvar(), protect(set8700_B) == 1024 + 256
+
+set8700_x = 7,  protect(set8700_x) == 0
+protect(7,2) == error(10234)
+protect(set8700_x,2.5) == error(10235)
+protect(set8700_x,"abc") == error(10235)
+protect(set8700_x, 1e6) == error(10235)
+protect(set8700_x,1), (set8700_x = 2) == error(10366)
+(set8700_x = 3 + 4) == error(10366)
+
+protect(set8700_x,2), protect(set8700_x) == 3
+protect(set8700_x,-1), protect(set8700_x) == 2
+(set8700_x = 2) == error(10368)
+(set8700_x = 3 + 4) == 7
+protect(set8700_x,2), ++set8700_x == error(10379)
+set8700_x == 7
+--set8700_x == error(10382)
+set8700_x == 7
+set8700_x++ == error(10385)
+set8700_x == 7
+set8700_x-- == error(10388)
+
+protect(set8700_A,0), protect(set8700_A,16), 1
+set8700_A = "abcdef", protect(set8700_A) == 16		## No copy to set8700_A
+protect(set8700_B,0), set8700_B = "xyz", protect(set8700_B) == 0
+copy(set8700_B, set8700_A) == error(10226)
+set8700_A == "abcdef"				## set8700_A not changed
+protect(set8700_A,0), copy(set8700_B,set8700_A), set8700_A == "xyzdef"
+protect(set8700_B,128), protect(set8700_B) == 128	## No copy from set8700_B
+copy(set8700_B,set8700_A,,,3) == error(10225)
+set8700_A == "xyzdef"
+protect(set8700_B,0), copy(set8700_B,set8700_A,,,3), set8700_A == "xyzxyz"
+
+set8700_A = "abcdef", protect(set8700_A, 16), swap(set8700_A[0], set8700_A[5]) == error(10371)
+set8700_A == "abcdef"
+protect(set8700_A,0), isnull(swap(set8700_A[0], set8700_A[5]))
+set8700_A == "fbcdea"
+protect(set8700_A,2), ++set8700_A[0] == error(10377)
+--set8700_A[1] == error(10380)
+set8700_A[2]++ == error(10383)
+set8700_A[3]-- == error(10386)
+set8700_A == "fbcdea"
+protect(set8700_A,0), ++set8700_A[0] == 'g'
+--set8700_A[1] == 'a'
+set8700_A[2]++ == ord('c')
+set8700_A[3]-- == ord('d')
+set8700_A == "gadcea"
+
+protect(set8700_x,0), protect(set8700_y,0), protect(set8700_x,256), protect(set8700_y,512),1
+quomod(11,4,set8700_x,set8700_y), set8700_x == 2 && set8700_y == 3
+protect(set8700_x) == 256
+protect(set8700_y) == 512
+
+set8700_A = mat[3]; protect(set8700_A[0], 1024); protect(set8700_A[0]) == 1024
+set8700_x = 7, protect(set8700_x,0), protect(set8700_x, 512), 1
+set8700_A = {set8700_x,,set8700_x}, protect(set8700_A[0]) == 1536
+protect(set8700_A[1]) == 0
+protect(set8700_A[2]) == 512
+protect(set8700_A,16), protect(set8700_A) == 16		## No copy to
+set8700_A == (mat[3] = {7,0,7})
+set8700_A = {1,2,3}, errno() == 10390;
+set8700_A == (mat[3] = {7,0,7})
+
+protect(set8700_A,0), set8700_A = {1,2,3}, set8700_A == (mat[3] = {1,2,3})
+protect(set8700_A[1],1), protect(set8700_A[1]) == 1
+set8700_A = {4,5,6}, errno() == 10394
+set8700_A == (mat[3] = {4,2,6})
+modify(7, "set8700_f") == error(10405)
+set8700_A = list(2,3,5), modify(set8700_A, 7) == error(10406)
+protect(set8700_A,2), modify(set8700_A, "set8700_f") == error(10407)
+protect(set8700_A,0), modify(set8700_A, "h") == error(10408)
+set8700_B = 42, protect(set8700_B,0), modify(set8700_B, "set8700_f") == error(10409)
+set8700_A == list(2,3,5)		## set8700_A not affected by failures
+protect(set8700_A,0,1), modify(set8700_A, "set8700_f") == null()
+set8700_A == list(4,9,25)
+modify(set8700_A,"set8700_g") == null()
+protect(set8700_A[0]) == 0
+protect(set8700_A[1]) == 256 && protect(set8700_A[2]) == 256
+
+set8700_A = 0, protect(set8700_A,0), set8700_A = pop(2), set8700_A == error(10181)
+set8700_A = pop(list(1,2,3)), set8700_A == error(10181)
+set8700_B = set8700_A = pop(2), set8700_B == error(10181)
+set8700_A = 32, protect(set8700_A,8), (set8700_A = pop(2)) == error(10370)
+set8700_A == 32
+set8700_B = set8700_A = pop(2), set8700_B == error(10370)
+## Testing copying of protected elements and initialization
+set8700_M1 = mat[3], protect(set8700_M1,0), protect(set8700_M1[1],1), protect(set8700_M1[1]) == 1
+set8700_M2 = mat[3], protect(set8700_M2,0), protect(set8700_M2[2],4), protect(set8700_M2[2]) == 4
+set8700_L = list(set8700_M1, set8700_M2), protect(set8700_L[0][1]) == 1 && protect(set8700_L[1][2]) == 4
+set8700_L = {{1,2,3},{'a','b','c'}}, set8700_L[0] == (mat[3] = {1,0,3})
+set8700_L[1] == (mat[3] = {'a','b',0})
+set8700_M = mat[2], protect(set8700_M,0), set8700_M = {1,2,3,4}, set8700_M == (mat[2] = {1,2})
+set8700_x = 5, set8700_M = {set8700_x++, set8700_x++, set8700_x++, set8700_x++, set8700_x++}, set8700_M == (mat[2] = {5,6})
+set8700_x == 10		## All initialization terms evaluated
+set8700_S = "   ", set8700_S = {'a','b','c','d'}, set8700_S == "abc"
+
+set8700_P = obj set8700_point = {1,2,3,4}, set8700_P.set8700_x == 1 && set8700_P.set8700_y == 2 && set8700_P.set8700_z == 3
+protect(set8700_P,16), set8700_Q = set8700_P, set8700_Q = {5,6,7}, set8700_Q == set8700_P
+set8700_P == (obj set8700_point = {1,2,3})
+set8700_L = list(mat[1] = {set8700_P}), protect(set8700_L[0][0]) == 16
+set8700_L = {{{4,5,6}}}, set8700_L[0][0] == set8700_P
+protect(set8700_L,0,2), set8700_L = {{{4,5,6}}}, set8700_L[0][0] == (obj set8700_point = {4,5,6})
+
+## Testing quomod
+quomod(14,5,3,4) == error(10374)
+global set8700_a,set8700_b; quomod("abc", 4, set8700_a, set8700_b) == error(10375)
+quomod(14,5,set8700_a,set8700_b,0) == 1 && set8700_a == 2 && set8700_b == 4
+quomod(14,5,set8700_a,set8700_b,1) == 1 && set8700_a == 3 && set8700_b == -1
+quomod("abc",2,set8700_a,set8700_b) == error(10375)
+set8700_a = "abc"; quomod(14,5,set8700_a,set8700_b) == error(10375)
+set8700_a = null(); quomod(14,5,set8700_a,set8700_b,24) == 1; set8700_a == 3 && set8700_b == -1
+quomod(14,5,set8700_a,set8700_a) == error(10374)
+quomod(14,5,set8700_a,set8700_b,-1) == error(10375)
+protect(set8700_a,1); quomod(17,2,set8700_a,set8700_b) == error(10376)
+protect(set8700_a,0); quomod(17,2,set8700_a,set8700_b); set8700_a == 8 && set8700_b == 1
+set8700_p = &set8700_a, set8700_q = &set8700_b; quomod(14,5,*set8700_p,*set8700_q); *set8700_p == 2 && *set8700_q == 4
+
+## Testing estr
+base(1/3) == 10
+strcmp(estr(null()), "\"\"") == 0
+strcmp(estr(bernoulli(48)), "-5609403368997817686249127547/46410") == 0
+strcmp(estr(sin(3i)), "1001787492740990189897i/100000000000000000000") == 0
+base(10) == 1/3
+strcmp(estr("fizzbin"), "\"fizzbin\"") == 0
+strcmp(estr(set8700_c), "mat[5]={1,2+3i,-5+4i,6+5i,-7i}") == 0
+strcmp(estr(set8700_e), "mat[16]={0,1,0,0,2,-3/2,2,-1/2,-3,1/2,-1,1/2,1,0,0,0}") == 0
+strcmp(estr(list(2,3,5)), "list(2,3,5)") == 0

cal/smallfactors.cal

@@ -0,0 +1,71 @@
+/*
+ * smallfactors - find the factors of a number < 2^32
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+define smallfactors(x0)
+{
+    local d q x flist tuple w;
+
+    if (x >= (2 ^ 32) - 1)
+	return newerror("smallfactors: number must be < 2^32 -1");
+
+    tuple = mat[2];
+    flist = list();
+    x = x0;
+    d = 2;
+    q = 0;
+    tuple[0] = d;
+    if (x < 2)
+	return 0;
+    do {
+	q = x // d;
+	    while (x == (q * d)) {
+	    tuple[0] = d;
+	    tuple[1]++;
+	    x = floor(q);
+	    q = x // d;
+	}
+	d = nextprime(d);
+	if (tuple[1] > 0)
+	    append(flist, tuple);
+	tuple = mat[2];
+    } while (d <= x);
+    return flist;
+}
+
+define printsmallfactors(flist)
+{
+    local k;
+    for (k = 0; k < size(flist); k++) {
+	print flist[k][0]:"^":flist[k][1];
+    }
+}
+
+
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "smallfactors(x0)";
+    print "printsmallfactors(flist)";
+
+}

cal/solve.cal

@@ -0,0 +1,70 @@
+/*
+ * solve - solve f(x) = 0 to within the desired error value for x
+ *
+ * Copyright (C) 1999  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.3 $
+ * @(#) $Id: solve.cal,v 30.3 2013/08/11 08:41:38 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/solve.cal,v $
+ *
+ * Under source code control:	1990/02/15 01:50:37
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * Solve the equation f(x) = 0 to within the desired error value for x.
+ * The function 'f' must be defined outside of this routine, and the low
+ * and high values are guesses which must produce values with opposite signs.
+ */
+
+
+define solve(low, high, epsilon)
+{
+	local flow, fhigh, fmid, mid, places;
+
+	if (isnull(epsilon))
+		epsilon = epsilon();
+	if (epsilon <= 0)
+		quit "Non-positive epsilon value";
+	places = highbit(1 + int(1/epsilon)) + 1;
+	flow = f(low);
+	if (abs(flow) < epsilon)
+		return low;
+	fhigh = f(high);
+	if (abs(fhigh) < epsilon)
+		return high;
+	if (sgn(flow) == sgn(fhigh))
+		quit "Non-opposite signs";
+	while (1) {
+		mid = bround(high - fhigh * (high - low) / (fhigh - flow),
+			     places);
+		if ((mid == low) || (mid == high))
+			places++;
+		fmid = f(mid);
+		if (abs(fmid) < epsilon)
+			return mid;
+		if (sgn(fmid) == sgn(flow)) {
+			low = mid;
+			flow = fmid;
+		} else {
+			high = mid;
+			fhigh = fmid;
+		}
+	}
+}

cal/statistics.cal

@@ -0,0 +1,502 @@
+/*
+ * statistics - Some assorted statistics functions.
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.4 $
+ * @(#) $Id: statistics.cal,v 30.4 2013/08/18 20:01:53 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/statistics.cal,v $
+ *
+ * Under source code control:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+/*
+ *  get dependencies
+ */
+read -once factorial2 brentsolve
+
+
+/*******************************************************************************
+ *
+ *
+ *                Continuous distributions
+ *
+ *
+ ******************************************************************************/
+
+/* regularized incomplete gamma function like in Octave, hence the name */
+define gammaincoctave(z,a){
+  local tmp;
+  tmp = gamma(z);
+  return (tmp-gammainc(a,z))/tmp;
+}
+
+/* Inverse incomplete beta function. Old and slow. */
+static __CZ__invbeta_a;
+static __CZ__invbeta_b;
+static __CZ__invbeta_x;
+define __CZ__invbeta(x){
+   return __CZ__invbeta_x-__CZ__ibetaas63(x,__CZ__invbeta_a,__CZ__invbeta_b);
+}
+
+define invbetainc_slow(x,a,b){
+  local flag ret eps;
+  /* place checks and balances here */
+  eps = epsilon();
+  if(.5 < x){
+    __CZ__invbeta_x = 1 - x;
+    __CZ__invbeta_a = b;
+    __CZ__invbeta_b = a;
+    flag = 1;
+  }
+  else{
+    __CZ__invbeta_x = x;
+    __CZ__invbeta_a = a;
+    __CZ__invbeta_b = b;
+    flag = 0;
+  }
+
+  ret =  brentsolve2(0,1,1);
+
+  if(flag == 1)
+    ret = 1-ret;
+  epsilon(eps);
+  return ret;
+}
+
+/* Inverse incomplete beta function. Still old but not as slow as the function
+   above. */
+/*
+  Purpose:
+
+    invbetainc computes inverse of the incomplete Beta function.
+
+  Licensing:
+
+    This code is distributed under the GNU LGPL license.
+
+  Modified:
+
+    10 August 2013
+
+  Author:
+
+    Original FORTRAN77 version by GW Cran, KJ Martin, GE Thomas.
+    C version by John Burkardt.
+    Calc version by Christoph Zurnieden
+
+  Reference:
+
+    GW Cran, KJ Martin, GE Thomas,
+    Remark AS R19 and Algorithm AS 109:
+    A Remark on Algorithms AS 63: The Incomplete Beta Integral
+    and AS 64: Inverse of the Incomplete Beta Integeral,
+    Applied Statistics,
+    Volume 26, Number 1, 1977, pages 111-114.
+
+  Parameters:
+
+    Input,  P, Q, the parameters of the incomplete
+    Beta function.
+
+    Input,  BETA, the logarithm of the value of
+    the complete Beta function.
+
+    Input,  ALPHA, the value of the incomplete Beta
+    function.  0 <= ALPHA <= 1.
+
+    Output,  the argument of the incomplete
+    Beta function which produces the value ALPHA.
+
+  Local Parameters:
+
+    Local, SAE, the most negative decimal exponent
+    which does not cause an underflow.
+*/
+define invbetainc(x,a,b){
+  return __CZ__invbetainc(a,b,lnbeta(a,b),x);
+}
+
+define __CZ__invbetainc(p,q,beta,alpha){
+  local a acu adj fpu g h iex indx pp prev qq r s sae sq t tx value;
+  local w xin y yprev places eps;
+
+  /* Dirty trick, don't try at home */
+  eps= epsilon(epsilon()^2);
+  sae = -((log(1/epsilon())/log(2))//2);
+  fpu = 10.0^sae;
+
+  places = highbit(1 + int(1/epsilon())) + 1;
+  value = alpha;
+  if( p <= 0.0 ){
+    epsilon(eps);
+    return newerror("invbeta: argument p <= 0");
+  }
+  if( q <= 0.0 ){
+    epsilon(eps);
+    return newerror("invbeta: argument q <= 0");
+  }
+
+  if( alpha < 0.0 || 1.0 < alpha ){
+    epsilon(eps);
+    return newerror("invbeta: argument alpha out of domain");
+  }
+  if( alpha == 0.0 ){
+    epsilon(eps);
+    return 0;
+  }
+  if( alpha == 1.0 ){
+    epsilon(eps);
+    return 1;
+  }
+  if ( 0.5 < alpha ){
+    a = 1.0 - alpha;
+    pp = q;
+    qq = p;
+    indx = 1;
+  }
+  else{
+    a = alpha;
+    pp = p;
+    qq = q;
+    indx = 0;
+  }
+  r = sqrt ( - ln ( a * a ) );
+
+  y = r-(2.30753+0.27061*r)/(1.0+(0.99229+0.04481*r)*r);
+
+  if ( 1.0 < pp && 1.0 < qq ){
+    r = ( y * y - 3.0 ) / 6.0;
+    s = 1.0 / ( pp + pp - 1.0 );
+    t = 1.0 / ( qq + qq - 1.0 );
+    h = 2.0 / ( s + t );
+    w = y*sqrt(h+r)/h-(t-s)*(r+5.0/6.0-2.0/(3.0*h));
+    value = pp / ( pp + qq * exp ( w + w ) );
+  }
+  else{
+    r = qq + qq;
+    t = 1.0 / ( 9.0 * qq );
+    t = r *  ( 1.0 - t + y * sqrt ( t )^ 3 );
+
+    if ( t <= 0.0 ){
+      value = 1.0 - exp ( ( ln ( ( 1.0 - a ) * qq ) + beta ) / qq );
+    }
+    else{
+      t = ( 4.0 * pp + r - 2.0 ) / t;
+
+      if ( t <= 1.0 ) {
+        value = exp ( ( ln ( a * pp ) + beta ) / pp );
+      }
+      else{
+        value = 1.0 - 2.0 / ( t + 1.0 );
+      }
+    }
+  }
+  r = 1.0 - pp;
+  t = 1.0 - qq;
+  yprev = 0.0;
+  sq = 1.0;
+  prev = 1.0;
+
+  if ( value < 0.0001 )
+    value = 0.0001;
+
+  if ( 0.9999 < value )
+    value = 0.9999;
+
+  acu = 10^sae;
+
+  for ( ; ; ){
+    y = bround(__CZ__ibetaas63( value, pp, qq, beta),places);
+    xin = value;
+    y = bround(exp(ln(y-a)+(beta+r*ln(xin)+t*ln(1.0- xin ) )),places);
+
+    if ( y * yprev <= 0.0 ) {
+      prev = max ( sq, fpu );
+    }
+
+    g = 1.0;
+
+    for ( ; ; ){
+      for ( ; ; ){
+        adj = g * y;
+        sq = adj * adj;
+        if ( sq < prev ){
+          tx = value - adj;
+          if ( 0.0 <= tx && tx <= 1.0 )  break;
+        }
+        g = g / 3.0;
+      }
+      if ( prev <= acu ){
+        if ( indx )
+          value = 1.0 - value;
+        epsilon(eps);
+        return value;
+      }
+      if ( y * y <= acu ){
+        if ( indx )
+          value = 1.0 - value;
+        epsilon(eps);
+        return value;
+      }
+      if ( tx != 0.0 && tx != 1.0 )
+        break;
+      g = g / 3.0;
+    }
+    if ( tx == value )  break;
+    value = tx;
+    yprev = y;
+  }
+  if ( indx )
+    value = 1.0 - value;
+
+  epsilon(eps);
+  return value;
+}
+
+/*******************************************************************************
+ *
+ *
+ *                Beta distribution
+ *
+ *
+ ******************************************************************************/
+
+define betapdf(x,a,b){
+  if(x<0 || x>1) return newerror("betapdf: parameter x out of domain");
+  if(a<=0) return newerror("betapdf: parameter a out of domain");
+  if(b<=0) return newerror("betapdf: parameter b out of domain");
+
+  return 1/beta(a,b) *x^(a-1)*(1-x)^(b-1);
+}
+
+define betacdf(x,a,b){
+  if(x<0 || x>1) return newerror("betacdf: parameter x out of domain");
+  if(a<=0) return newerror("betacdf: parameter a out of domain");
+  if(b<=0) return newerror("betacdf: parameter b out of domain");
+
+  return betainc(x,a,b);
+}
+
+define betacdfinv(x,a,b){
+  return invbetainc(x,a,b);
+}
+
+define betamedian(a,b){
+  local t106 t104 t103 t105 approx ret;
+  if(a == b) return 1/2;
+  if(a == 1 && b > 0) return 1-(1/2)^(1/b);
+  if(a > 0 && b == 1) return   (1/2)^(1/a);
+  if(a == 3 && b == 2){
+    /* Yes, the author is not ashamed to ask Maxima for the exact solution
+       of a quartic equation. */
+    t103 = ( (2^(3/2))/27 +4/27  )^(1/3);
+    t104 = sqrt( ( 9*t103^2 + 4*t103 + 2  )/(t103)  )/3;
+    t105 = -t103-2/(9*t103) +8/9;
+    t106 = sqrt( (27*t104*t105+16)/(t104)  )/(2*3^(3/2));
+    return -t106+t104/2+1/3;
+  }
+  if(a == 2 && b == 3){
+    t103 = ( (2^(3/2))/27 +4/27  )^(1/3);
+    t104 = sqrt( ( 9*t103^2 + 4*t103 + 2  )/(t103)  )/3;
+    t105 = -t103-2/(9*t103) +8/9;
+    t106 = sqrt( (27*t104*t105+16)/(t104)  )/(2*3^(3/2));
+    return 1-(-t106+t104/2+1/3);
+  }
+  return invbetainc(1/2,a,b);
+}
+
+define betamode(a,b){
+  if(a + b == 2) return newerror("betamod: a + b = 2 = division by zero");
+  return (a-1)/(a+b-2);
+}
+
+define betavariance(a,b){
+  return (a*b)/( (a+b)^2*(a+b+1) );
+}
+
+define betalnvariance(a,b){
+  return polygamma(1,a)-polygamma(a+b);
+}
+
+define betaskewness(a,b){
+  return (2*(b-a)*sqrt(a+b+1))/( (a+b+1)*sqrt(a*b) );
+}
+
+define betakurtosis(a,b){
+  local num denom;
+
+  num = 6*( (a-b)^2*(a+b+1)-a*b*(a+b+2));
+  denom = a*b*(a+b+2)*(a+b+3);
+  return num/denom;
+}
+
+define betaentropy(a,b){
+  return lnbeta(a,b)-(a-1)*psi(a)-(b-1)*psi(b)+(a+b+1)*psi(a+b);
+
+}
+
+/*******************************************************************************
+ *
+ *
+ *                Normal (Gaussian) distribution
+ *
+ *
+ ******************************************************************************/
+
+
+define normalpdf(x,mu,sigma){
+  return 1/(sqrt(2*pi()*sigma^2))*exp( ( (x-mu)^2 )/( 2*sigma^2 ) );
+}
+
+define normalcdf(x,mu,sigma){
+  return 1/2*(1+erf( ( x-mu )/( sqrt(2*sigma^2) )  )  );
+}
+
+define probit(p){
+  if(p<0 || p > 1) return newerror("probit: p out of domain 0<=p<=1");
+  return sqrt(2)*ervinv(2*p-1);
+}
+
+define normalcdfinv(p,mu,sigma){
+  if(p<0 || p > 1) return newerror("normalcdfinv: p out of domain 0<=p<=1");
+  return mu+ sigma*probit(p);
+}
+
+define normalmean(mu,sigma){return mu;}
+
+define normalmedian(mu,sigma){return mu;}
+
+define normalmode(mu,sigma){return mu;}
+
+define normalvariance(mu,sigma){return sigma^2;}
+
+define normalskewness(mu,sigma){return 0;}
+
+define normalkurtosis(mu,sigma){return 0;}
+
+define normalentropy(mu,sigma){
+  return 1/3*ln( 2*pi()*exp(1)*sigma^2 );
+}
+
+/* moment generating f. */
+define normalmgf(mu,sigma,t){
+  return exp(mu*t+1/2*sigma^2*t^2);
+}
+
+/* characteristic f. */
+define normalcf(mu,sigma,t){
+  return exp(mu*t-1/2*sigma^2*t^2);
+}
+
+
+/*******************************************************************************
+ *
+ *
+ *                Chi-squared distribution
+ *
+ *
+ ******************************************************************************/
+
+define chisquaredpdf(x,k){
+  if(!isint(k) || k<0) return newerror("chisquaredpdf: k not in N");
+  if(im(x) || x<0) return newerror("chisquaredpdf: x not in +R");
+  /* The gamma function does not check for half integers, do it here? */
+  return 1/(2^(k/2)*gamma(k/2))*x^((k/2)-1)*exp(-x/2);
+}
+
+define chisquaredpcdf(x,k){
+  if(!isint(k) || k<0) return newerror("chisquaredcdf: k not in N");
+  if(im(x) || x<0) return newerror("chisquaredcdf: x not in +R");
+
+  return 1/(gamma(k/2))*gammainc(k/2,x/2);
+}
+
+define chisquaredmean(x,k){return k;}
+
+define chisquaredmedian(x,k){
+  /* TODO: implement a FAST inverse incomplete gamma-{q,p} function */
+  return k*(1-2/(9*k))^3;
+}
+
+define chisquaredmode(x,k){return max(k-2,0);}
+define chisquaredvariance(x,k){return 2*k;}
+define chisquaredskewness(x,k){return sqrt(8/k);}
+define chisquaredkurtosis(x,k){return 12/k;}
+define chisquaredentropy(x,k){
+  return k/2+ln(2*gamma(k/2)) + (1-k/2)*psi(k/2);
+}
+
+define chisquaredmfg(k,t){
+  if(t>=1/2)return newerror("chisquaredmfg: t >= 1/2");
+  return (1-2*t)^(k/2);
+}
+
+define chisquaredcf(k,t){
+  return (1-2*1i*t)^(k/2);
+}
+
+
+/*
+ * restore internal function from resource debugging
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "gammaincoctave(z,a)";
+    print "invbetainc(x,a,b)";
+    print "betapdf(x,a,b)";
+    print "betacdf(x,a,b)";
+    print "betacdfinv(x,a,b)";
+    print "betamedian(a,b)";
+    print "betamode(a,b)";
+    print "betavariance(a,b)";
+    print "betalnvariance(a,b)";
+    print "betaskewness(a,b)";
+    print "betakurtosis(a,b)";
+    print "betaentropy(a,b)";
+    print "normalpdf(x,mu,sigma)";
+    print "normalcdf(x,mu,sigma)";
+    print "probit(p)";
+    print "normalcdfinv(p,mu,sigma)";
+    print "normalmean(mu,sigma)";
+    print "normalmedian(mu,sigma)";
+    print "normalmode(mu,sigma)";
+    print "normalvariance(mu,sigma)";
+    print "normalskewness(mu,sigma)";
+    print "normalkurtosis(mu,sigma)";
+    print "normalentropy(mu,sigma)";
+    print "normalmgf(mu,sigma,t)";
+    print "normalcf(mu,sigma,t)";
+    print "chisquaredpdf(x,k)";
+    print "chisquaredpcdf(x,k)";
+    print "chisquaredmean(x,k)";
+    print "chisquaredmedian(x,k)";
+    print "chisquaredmode(x,k)";
+    print "chisquaredvariance(x,k)";
+    print "chisquaredskewness(x,k)";
+    print "chisquaredkurtosis(x,k)";
+    print "chisquaredentropy(x,k)";
+    print "chisquaredmfg(k,t)";
+    print "chisquaredcf(k,t)";
+}
+

cal/strings.cal

@@ -0,0 +1,41 @@
+/*
+ * strings - implementation of some of the macros in ctype.h
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+define isascii(c){
+  c = ord(c);
+  return (c >= 0 && c< 128);
+}
+
+define isblank(c){
+  c = ord(c);
+  return ( c == 32 || c == 9 );
+}
+
+
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "isascii(c)";
+    print "isblank(c)";
+}
+

cal/sumsq.cal

@@ -0,0 +1,65 @@
+/*
+ * sumsq - find unique two positive integers whose squares sum to a given prime
+ *
+ * Copyright (C) 1999  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: sumsq.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/sumsq.cal,v $
+ *
+ * Under source code control:	1990/02/15 01:50:37
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+/*
+ * Determine the unique two positive integers whose squares sum to the
+ * specified prime.  This is always possible for all primes of the form
+ * 4N+1, and always impossible for primes of the form 4N-1.
+ */
+
+
+define ss(p)
+{
+	local a, b, i, p4;
+
+	if (p == 2) {
+		print "1^2 + 1^2 = 2";
+		return;
+	}
+	if ((p % 4) != 1) {
+		print p, "is not of the form 4N+1";
+		return;
+	}
+	if (!ptest(p, min(p-2, 10))) {
+		print p, "is not a prime";
+		return;
+	}
+	p4 = (p - 1) / 4;
+	i = 2;
+	do {
+		a = pmod(i++, p4, p);
+	} while ((a^2 % p) == 1);
+	b = p;
+	while (b^2 > p) {
+		i = b % a;
+		b = a;
+		a = i;
+	}
+	print a : "^2 +" , b : "^2 =" , a^2 + b^2;
+}

cal/sumtimes.cal

@@ -0,0 +1,186 @@
+/*
+ * sumtimes - runtimes evaluating sums & squares of large lists and mats
+ *
+ * Copyright (C) 2006  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: sumtimes.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/sumtimes.cal,v $
+ *
+ * Under source code control:	2006/06/22 17:29
+ * File existed as early as:	2006
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+global sumtimes_t0, sumtimes_t1, sumtimes_t2, sumtimes_t3;
+global sumtimes_A, sumtimes_B;
+config("tilde", 0),;
+
+define timematsum(N) {
+    local n, s, p, ptop;
+
+    sumtimes_A = mat[N];
+
+    for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
+
+    ptop = &sumtimes_A[n-1];
+    sumtimes_t0 = usertime();
+    for (s = n = 0; n < N; n++) s += sumtimes_A[n];
+    sumtimes_t1 = usertime();
+    for (s = 0, p = &sumtimes_A[0]; p <= ptop; p++) s += *p;
+    sumtimes_t2 = usertime();
+    s = matsum(sumtimes_A);
+    sumtimes_t3 = usertime();
+
+    print "Matrix sum runtimes";
+    printf('\tStandard "for" loop:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
+    printf('\t"For" loop using pointers:\t\t%.4f\n', sumtimes_t2 - sumtimes_t1);
+    printf('\tUsing builtin "matsum":\t\t%.4f\n', sumtimes_t3 - sumtimes_t2);
+}
+
+define timelistsum(N) {
+    local n, s;
+
+    sumtimes_A = makelist(N);
+    for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
+
+    sumtimes_t0 = usertime();
+    for (s = n = 0; n < N; n++) s += sumtimes_A[n];
+    sumtimes_t1 = usertime();
+    s = sum(sumtimes_A);
+    sumtimes_t2 = usertime();
+    print "List sum runtimes";
+    printf('\tStandard "for" loop:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
+    printf('\tUsing builtin "sum":\t\t%.4f\n', sumtimes_t2 - sumtimes_t1);
+}
+
+
+define timematsort(N) {
+    local n;
+
+    sumtimes_A = mat[N];
+    for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
+    sumtimes_t0 = usertime();
+    sort(sumtimes_A);
+    sumtimes_t1 = usertime();
+    printf('\tMatrix sort runtime:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
+}
+
+
+define timelistsort(N) {
+    local n;
+
+    sumtimes_A = makelist(N);
+    for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
+    sumtimes_t0 = usertime();
+    sort(sumtimes_A);
+    sumtimes_t1 = usertime();
+    printf('\tList sort runtime:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
+}
+
+define timematreverse(N) {
+    local n;
+
+    sumtimes_A = mat[N];
+    for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
+    sumtimes_t0 = usertime();
+    reverse(sumtimes_A);
+    sumtimes_t1 = usertime();
+    printf('\tMatrix reverse runtime        %.4f\n', sumtimes_t1 - sumtimes_t0);
+}
+
+define timelistreverse(N) {
+    local n;
+
+    sumtimes_A = makelist(N);
+    for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
+    sumtimes_t0 = usertime();
+    reverse(sumtimes_A);
+    sumtimes_t1 = usertime();
+    printf('\tList reverse runtime:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
+}
+
+define timematssq(N) {
+    local n, s, p, ptop;
+
+    sumtimes_A = mat[N];
+
+    for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
+
+    ptop = &sumtimes_A[n-1];
+    sumtimes_t0 = usertime();
+    for (s = n = 0; n < N; n++) s += sumtimes_A[n]^2;
+    sumtimes_t1 = usertime();
+    for (s = 0, p = &sumtimes_A[0]; p <= ptop; p++) s += (*p)^2;
+    sumtimes_t2 = usertime();
+
+    print "Matrix sum of squares runtimes";
+    printf('\tStandard "for" loop:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
+    printf('\t"For" loop using pointers:\t\t%.4f\n', sumtimes_t2 - sumtimes_t1);
+}
+
+define timelistssq(N) {
+    local n, s;
+
+    sumtimes_A = makelist(N);
+    for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
+
+    sumtimes_t0 = usertime();
+    for (s = n = 0; n < N; n++) s += sumtimes_A[n]^2;
+    sumtimes_t1 = usertime();
+    s = ssq(sumtimes_A);
+    sumtimes_t2 = usertime();
+    print "List sum of squares runtimes";
+    printf('\tStandard "for" loop:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
+    printf('\tUsing builtin "ssq":\t\t%.4f\n', sumtimes_t2 - sumtimes_t1);
+}
+
+define timehmean(N, M = 10) {
+    local n, s, v1, v2;
+
+    sumtimes_A = makelist(N);
+    for (n = 0; n < N; n++) sumtimes_A[n] = rand(1, M);
+
+    sumtimes_t0 = usertime();
+    for (s = n = 0; n < N; n++) s += 1/sumtimes_A[n];
+    v1 = N/s;
+    sumtimes_t1 = usertime();
+    v2 = hmean(sumtimes_A);
+    sumtimes_t2 = usertime();
+    print v1, v2;
+    print "List harmonic meanruntimes";
+    printf('\tStandard "for" loop:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
+    printf('\tUsing builtin "hmean":\t\t%.4f\n', sumtimes_t2 - sumtimes_t1);
+}
+
+define doalltimes(N) {
+    timematsum(N);
+    print;
+    timelistsum(N);
+    print;
+    timematssq(N);
+    print;
+    timelistssq(N);
+    print;
+    timematsort(N);
+    timelistsort(N);
+    timematreverse(N);
+    timelistreverse(N);
+    print;
+}

cal/surd.cal

@@ -1,11 +1,33 @@
 /*
- * Copyright (c) 1995 David I. Bell
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * surd - calculate using quadratic surds of the form: a + b * sqrt(D).
  *
- * Calculate using quadratic surds of the form: a + b * sqrt(D).
+ * Copyright (C) 1999  David I. Bell
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: surd.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/surd.cal,v $
+ *
+ * Under source code control:	1990/02/15 01:50:38
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
+
 obj surd {a, b};		/* definition of the surd object */
 
 global surd_type = -1;		/* type of surd (value of D) */
@@ -261,7 +283,7 @@ define surd_rel(a, b)
 	return sgn(x^2 - y^2 * surd_type) * sgn(x);
 }
 
-if (config("lib_debug") & 3) {
+if (config("resource_debug") & 3) {
     print "obj surd {a, b} defined";
     print "surd_type defined";
     print "set surd_type as needed";

cal/test1700.cal

@@ -0,0 +1,32 @@
+/*
+ * test1700 - 1700 series of the regress.cal test suite
+ *
+ * Copyright (C) 1999  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: test1700.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test1700.cal,v $
+ *
+ * Under source code control:	1994/03/14 23:12:51
+ * File existed as early as:	1994
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+++value;

cal/test2300.cal

@@ -1,14 +1,31 @@
 /*
- * Copyright (c) 1995 Landon Curt Noll
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * test2300 - 2300 series of the regress.cal test suite
  *
- * By:	Landon Curt Noll
- *	http://reality.sgi.com/chongo/
+ * Copyright (C) 1999  Landon Curt Noll
  *
- *	chongo <was here> /\../\
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
  *
- * This library is used by the 2300 series of the regress.cal test suite.
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: test2300.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test2300.cal,v $
+ *
+ * Under source code control:	1995/07/09 06:12:13
+ * File existed as early as:	1995
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
 

cal/test2600.cal

@@ -1,13 +1,34 @@
 /*
- * Copyright (c) 1996 Ernest Bowen and Landon Curt Noll
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * test2600 - 2600 series of the regress.cal test suite
  *
- * By: Ernest Bowen and Landon Curt Noll
- *     ernie@neumann.une.edu.au and http://reality.sgi.com/chongo/
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
  *
- * This library is used by the 2600 series of the regress.cal test suite.
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.3 $
+ * @(#) $Id: test2600.cal,v 30.3 2013/08/11 08:41:38 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test2600.cal,v $
+ *
+ * Under source code control:	1995/10/13 00:13:14
+ * File existed as early as:	1995
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
+
 /*
  * Stringent tests of some of calc's builtin functions.
  * Most of the tests are concerned with the accuracy of the value
@@ -49,6 +70,7 @@
  * All functions return the number of errors that they detected.
  */
 
+
 global defaultverbose = 1;	/* default verbose value */
 global err;
 
@@ -69,7 +91,8 @@ define testismult(str, n, verbose)
 		if (!ismult(c,a)) {
 			m++;
 			if (verbose > 1) {
-				printf("*** Failure with:\na = %d\nb = %d\n", a,b);
+				printf("*** Failure with:\na = %d\nb = %d\n",
+				       a,b);
 			}
 		}
 	}
@@ -111,7 +134,8 @@ define testsqrt(str, n, eps, verbose)
 		if (abs(c) > 1) {
 			m++;
 			if (verbose > 1) {
-				printf("*** Failure with:\na = %d\neps = %d\n", a,eps);
+				printf("*** Failure with:\na = %d\neps = %d\n",
+				       a,eps);
 			}
 		}
 	}
@@ -156,7 +180,8 @@ define testexp(str, n, eps, verbose)
 		if (abs(c) > 0.02) {
 			m++;
 			if (verbose > 1) {
-				printf("*** Failure with:\na = %d\neps = %d\n", a,eps);
+				printf("*** Failure with:\na = %d\neps = %d\n",
+				       a,eps);
 			}
 		}
 	}
@@ -213,7 +238,8 @@ define testln(str, n, eps, verbose)
 		if (abs(c) > 0.5) {
 			m++;
 			if (verbose > 1) {
-				printf("*** Failure with:\na = %d\neps = %d\n", a,eps);
+				printf("*** Failure with:\na = %d\neps = %d\n",
+				       a,eps);
 			}
 		}
 	}
@@ -291,6 +317,102 @@ define testpower(str, n, b, eps, verbose)
 }
 
 
+define testpower2(str, n, eps, verbose)
+{
+	local i, a, c, m, min, max;
+	local b;
+	local num;
+	local c2;
+	local oldeps;
+
+	if (isnull(verbose)) verbose = 2;
+	if (verbose > 0) {
+		print str:":",:;
+	}
+	if (isnull(eps))
+		eps = epsilon();
+	oldeps = epsilon(eps);
+	epsilon(eps),;
+	if (!isnum(b))
+		quit "Second argument (exponent) to be a number";
+	min = 1000;
+	max = -1000;
+	for (i = 1; i <= n; i++) {
+		if (verbose > 2) print i,:;
+
+		/* real ^ real */
+		a = rand(1,1e20);
+		a = a / (int(a/2)+rand(1,1e20));
+		b = rand(1,1e20);
+		b = b / (int(b/2)+rand(1,1e20));
+		c = a ^ b;
+		c2 = power(a, b);
+		if (c != c2) {
+			m++;
+			if (verbose > 1) {
+				printf("*** real^real failure for a = %d\n", a);
+			}
+		}
+
+		/* complex ^ real */
+		a = rand(1,1e20);
+		a = a / (int(a/2)+rand(1,1e20));
+		b = rand(1,1e20);
+		b = b / (int(b/2)+rand(1,1e20));
+		c = (a*1i) ^ b;
+		c2 = power(a*1i, b);
+		if (c != c2) {
+			m++;
+			if (verbose > 1) {
+				printf("*** comp^real failure for a = %d\n", a);
+			}
+		}
+
+		/* real ^ complex */
+		a = rand(1,1e20);
+		a = a / (int(a/2)+rand(1,1e20));
+		b = rand(1,1e20);
+		b = b / (int(b/2)+rand(1,1e20));
+		c = a ^ (b*1i);
+		c2 = power(a, b*1i);
+		if (c != c2) {
+			m++;
+			if (verbose > 1) {
+				printf("*** real^comp failure for a = %d\n", a);
+			}
+		}
+
+		/* complex ^ complex */
+		a = rand(1,1e20);
+		a = a / (int(a/2)+rand(1,1e20));
+		b = rand(1,1e20);
+		b = b / (int(b/2)+rand(1,1e20));
+		c = (a*1i) ^ (b*1i);
+		c2 = power(a*1i, b*1i);
+		if (c != c2) {
+			m++;
+			if (verbose > 1) {
+				printf("*** comp^comp failure for a = %d\n", a);
+			}
+		}
+	}
+	epsilon(oldeps),;
+	if (verbose > 0) {
+		if (m) {
+			printf("*** %d error(s)\n", m);
+			printf("    %s: rem/eps min=%d, max=%d\n",
+			       str, min, max);
+		} else {
+			printf("no errors\n");
+		}
+	}
+	if (verbose > 1) {
+		printf("    %s: rem/eps min=%0.4d, max=%0.4d\n", str, min, max);
+	}
+	return m;
+}
+
+
 define cpow(a, b, eps)		/* Find rem/eps for power(a,b,eps) */
 {
 	local v, v1, c, n, d, h;
@@ -482,6 +604,7 @@ define test2600(verbose, tnum)
 		err += testsqrt(strcat(str(tnum++),": sqrt",str(i)), n*10,
 				ep, verbose);
 	}
+	err += testpower2(strcat(str(tnum++),": power"), n*4, ep, verbose);
 	if (verbose > 1) {
 		if (err) {
 			print "***", err, "error(s) found in test2600";

cal/test2700.cal

@@ -1,27 +1,47 @@
 /*
- * Copyright (c) 1996 Ernest Bowen and Landon Curt Noll
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * test2700 - 2700 series of the regress.cal test suite
  *
- * By: Ernest Bowen and Landon Curt Noll
- *     ernie@neumann.une.edu.au and http://reality.sgi.com/chongo/
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
  *
- * This library is used by the 2700 series of the regress.cal test suite.
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: test2700.cal,v 30.2 2013/08/11 08:41:38 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test2700.cal,v $
+ *
+ * Under source code control:	1995/11/01 22:52:25
+ * File existed as early as:	1995
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
+
 /*
- * The following script gives a severe test of sqrt(x,y,z) for
+ * The following resource file gives a severe test of sqrt(x,y,z) for
  * all 128 values of z, randomly produced real and complex x, and randomly
  * produced nonzero values for y.  After loading it, testcsqrt(n) will
  * test n combinations of x and y;  testcsqrt(str,n,2) will print 1 2 3 ...
  * indicating work in process; testcsqrt(str,n,3) will give information about
- * errors detected and will print values of x and y used.  The
- * number generators are essentially as in the script I sent yesterday.
+ * errors detected and will print values of x and y used.
  * I've also defined a function iscomsq(x) which does for complex as well
  * as real x what issq(x) currently does for real x.
  */
 
-global defaultverbose = 1;
-global err;
+
+defaultverbose = 1;
 
 define mknonnegreal() {
 	switch(rand(8)) {
@@ -68,11 +88,11 @@ define mkfrac() = rand(2) ? mkposfrac() : -mkposfrac();
 define mksquarereal() = mknonnegreal()^2;
 
 /*
- * XXX - Should be able to do better than the following.  For nonsquare
- * positive integer less than 1e6, could use
+ * We might be able to do better than the following.  For nonsquare
+ * positive integer less than 1e6, could use:
  *		 x = rand(1, 1000);
  *		 return rand(x^2 + 1, (x + 1)^2);
- * Maybe could do
+ * Maybe could do:
  *		do
  *			x = mkreal_2700();
  *		while
@@ -107,7 +127,8 @@ define testcsqrt(str, n, verbose)
 			if (p) {
 			if (verbose > 0)
 				printf(
-				 "*** Type %d failure for x = %r, y = %r, z = %d\n",
+				 "*** Type %d failure for x = %r, "
+				 "y = %r, z = %d\n",
 				    p, x, y, z);
 				m++;
 			}

cal/test3100.cal

@@ -0,0 +1,40 @@
+/*
+ * test3100 - 3100 series of the regress.cal test suite
+ *
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
+ *
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: test3100.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test3100.cal,v $
+ *
+ * Under source code control:	1995/11/28 11:56:57
+ * File existed as early as:	1995
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+obj res {r};
+global md;
+define res_test(a) = !ismult(a.r, md);
+define res_sub(a,b) {local obj res v = {(a.r - b.r) % md}; return v;};
+define res_mul(a,b) {local obj res v = {(a.r * b.r) % md}; return v;};
+define res_neg(a) {local obj res v = {(-a.r) % md}; return v;};
+define res_inv(a) {local obj res v = {minv(a.r, md)}; return v;};
+define res(x) {local obj res v = {x % md}; return v;};

cal/test3300.cal

@@ -1,16 +1,36 @@
 /*
- * Copyright (c) 1995 Ernest Bowen and Landon Curt Noll
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * test3300 - 3300 series of the regress.cal test suite
  *
- * By: Ernest Bowen and Landon Curt Noll
- *     ernie@neumann.une.edu.au and http://reality.sgi.com/chongo/
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
  *
- * This library is used by the 3300 series of the regress.cal test suite.
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: test3300.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test3300.cal,v $
+ *
+ * Under source code control:	1995/12/02 04:27:41
+ * File existed as early as:	1995
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
-global defaultverbose = 1;	/* default verbose value */
-global err;
+
+defaultverbose = 1;	/* default verbose value */
 
 define testi(str, n, N, verbose)
 {
@@ -61,9 +81,9 @@ define testr(str, n, N, verbose)
 	for (i = 0; i < n; i++)
 		for (j = 0; j < n; j++)
 			A[i,j] = rand(-(N^2), N^2)/rand(1, N);
-	t = runtime();
+	t = usertime();
 	d1 = det(A);
-	t = runtime() - t;
+	t = usertime() - t;
 	d2 = det(A^2);
 	if (d2 != d1^2) {
 		if (verbose > 0) {

cal/test3400.cal

@@ -1,13 +1,34 @@
 /*
- * Copyright (c) 1996 Ernest Bowen and Landon Curt Noll
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * test3400 - 3400 series of the regress.cal test suite
  *
- * By: Ernest Bowen and Landon Curt Noll
- *     ernie@neumann.une.edu.au and http://reality.sgi.com/chongo/
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
  *
- * This library is used by the 3400 series of the regress.cal test suite.
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: test3400.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test3400.cal,v $
+ *
+ * Under source code control:	1995/12/02 05:20:11
+ * File existed as early as:	1995
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
+
 /*
  * tests of performance of some trigonometric functions
  *
@@ -32,8 +53,8 @@
  * that the two sides might differ by eps.  [[test changed to test eps error]]
  */
 
-global defaultverbose = 1;	/* default verbose value */
-global err;
+
+defaultverbose = 1;	/* default verbose value */
 
 global pi1k = pi(1e-1000);
 

cal/test3500.cal

@@ -1,13 +1,34 @@
 /*
- * Copyright (c) 1996 Ernest Bowen and Landon Curt Noll
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * test3500 - 3500 series of the regress.cal test suite
  *
- * By: Ernest Bowen and Landon Curt Noll
- *     ernie@neumann.une.edu.au and http://reality.sgi.com/chongo/
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
  *
- * This library is used by the 3500 series of the regress.cal test suite.
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: test3500.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test3500.cal,v $
+ *
+ * Under source code control:	1995/12/18 22:50:46
+ * File existed as early as:	1995
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
+
 /*
  * Stringent tests of the functions frem, fcnt, gcdrem.
  *
@@ -31,8 +52,8 @@
  *
  */
 
-global defaultverbose = 1;	/* default verbose value */
-global err;
+
+defaultverbose = 1;	/* default verbose value */
 
 define testfrem(x,y,verbose)
 {

cal/test4000.cal

@@ -1,13 +1,34 @@
 /*
- * Copyright (c) 1996 Ernest Bowen and Landon Curt Noll
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * test4000 - 4000 series of the regress.cal test suite
  *
- * By: Ernest Bowen and Landon Curt Noll
- *     ernie@neumann.une.edu.au and http://reality.sgi.com/chongo/
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
  *
- * This library is used by the 4000 series of the regress.cal test suite.
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: test4000.cal,v 30.2 2013/08/11 08:41:38 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test4000.cal,v $
+ *
+ * Under source code control:	1996/03/13 02:38:45
+ * File existed as early as:	1996
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
+
 /*
  * Functions for testing and timing ptest, nextcand, prevcand.
  *
@@ -53,8 +74,8 @@
  *	modulus to 1.
  */
 
-global defaultverbose = 1;	/* default verbose value */
-global err;
+
+defaultverbose = 1;	/* default verbose value */
 
 /*
  * test defaults
@@ -124,7 +145,7 @@ define ptimes(str, N, n, count, skip, verbose)
 	mat A[n];
 	for (i = 0; i < n; i++)
 		A[i] = plen(N);
-	t = runtime();
+	t = usertime();
 	for (i = 0; i < n; i++) {
 		p = ptest(A[i], count, skip);
 		if (!p) {
@@ -138,7 +159,7 @@ define ptimes(str, N, n, count, skip, verbose)
 		if (m) {
 			printf("*** %d error(s)\n", m);
 		} else {
-			t = round(runtime() - t, 4);
+			t = round(usertime() - t, 4);
 			if (verbose > 1) {
 				printf("%d probable primes: time = %d\n", n, t);
 			} else {
@@ -173,12 +194,13 @@ define ctimes(str, N, n, count, skip, verbose)
 	mat A[n];
 	for (i = 0; i < n; i++)
 		A[i] = clen(N);
-	t = runtime();
+	t = usertime();
 	for (i = 0; i < n; i++) {
 		p = ptest(A[i], count, skip);
 		if (p) {
 			if (verbose > 0) {
-				printf("*** Error, what should be rare has occurred for x = %d \n", A[i]);
+				printf("*** Error, what should be rare "
+				       "has occurred for x = %d \n", A[i]);
 				m++;
 			}
 		}
@@ -187,7 +209,7 @@ define ctimes(str, N, n, count, skip, verbose)
 		if (m) {
 			printf("*** %d error(s)\n", m);
 		} else {
-			t = round(runtime() - t, 4);
+			t = round(usertime() - t, 4);
 			if (verbose > 1) {
 				printf("%d probable primes: time = %d\n", n, t);
 			} else {
@@ -221,7 +243,7 @@ define crtimes(str, a, b, n, count, skip, verbose)
 		A[i] = rand(a,b);
 		P[i] = ptest(A[i], 20, 0);
 	}
-	t = runtime();
+	t = usertime();
 	for (i = 0; i < n; i++) {
 		p = ptest(A[i], count, skip);
 		if (p != P[i]) {
@@ -236,7 +258,7 @@ define crtimes(str, a, b, n, count, skip, verbose)
 		if (m) {
 			printf("*** %d error(s)?\n", m);
 		} else {
-			t = round(runtime() - t, 4);
+			t = round(usertime() - t, 4);
 			if (verbose > 1) {
 				printf("%d probable primes: time = %d\n", n, t);
 			} else {
@@ -274,18 +296,19 @@ define ntimes(str, N, n, count, skip, residue, modulus, verbose)
 	mat A[n];
 	for (i = 0; i < n; i++)
 		A[i] = rlen(N);
-	t = runtime();
+	t = usertime();
 	for (i = 0; i < n; i++) {
 		p = nextcand(A[i], count, skip, residue, modulus);
 	}
-	tnext = round(runtime() - t, 4);
-	t = runtime();
+	tnext = round(usertime() - t, 4);
+	t = usertime();
 	for (i = 0; i < n; i++) {
 		p = prevcand(A[i], count, skip, residue, modulus);
 	}
-	tprev = round(runtime() - t, 4);
+	tprev = round(usertime() - t, 4);
 	if (verbose > 0) {
-		printf("%d evaluations, nextcand: %d, prevcand: %d\n", n, tnext, tprev);
+		printf("%d evaluations, nextcand: %d, "
+		       "prevcand: %d\n", n, tnext, tprev);
 	}
 }
 

cal/test4100.cal

@@ -1,13 +1,34 @@
 /*
- * Copyright (c) 1996 Ernest Bowen and Landon Curt Noll
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * test4100 - 4100 series of the regress.cal test suite
  *
- * By: Ernest Bowen and Landon Curt Noll
- *     ernie@neumann.une.edu.au and http://reality.sgi.com/chongo/
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
  *
- * This library is used by the 4100 series of the regress.cal test suite.
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: test4100.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test4100.cal,v $
+ *
+ * Under source code control:	1996/03/13 03:53:22
+ * File existed as early as:	1996
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
+
 /*
  * Some severe tests and timing functions for REDC functions and pmod.
  *
@@ -48,18 +69,17 @@
  *
  */
 
-global defaultverbose = 1;	/* default verbose value */
-global err;
+
+defaultverbose = 1;	/* default verbose value */
 
 /*
  * test defaults
  */
-global K1 = 2^17;
-global K2 = 2^12;
-global BASEB = 16;
-global BASE = 2^BASEB;
+global test4100_K1 = 2^17;
+global test4100_K2 = 2^12;
+global test4100_BASE = 2^config("baseb");
 
-define rlen_4100(N) = rand(BASE^(N-1), BASE^N);
+define rlen_4100(N) = rand(test4100_BASE^(N-1), test4100_BASE^N);
 
 define olen(N)
 {
@@ -212,7 +232,7 @@ define times(str,N,n,verbose)
 	m = olen(N);
 	m2 = m^2;
 	if (isnull(n)) {
-		n = ceil(K1/power(N,1.585));
+		n = ceil(test4100_K1/power(N,1.585));
 		if (verbose > 1)
 			printf("n = %d\n", n);
 	}
@@ -225,38 +245,38 @@ define times(str,N,n,verbose)
 		C[i] = rand(m2);
 	}
 	z = rcin(0,m);	/* to initialize redc and maybe lastmod information */
-	t = runtime();
+	t = usertime();
 	for (i = 0; i < n; i++)
 		z = rcin(A[i],m);
-	trcin = round(runtime() - t, 3);
-	t = runtime();
+	trcin = round(usertime() - t, 3);
+	t = usertime();
 	for (i = 0; i < n; i++)
 		z = rcout(A[i],m);
-	trcout = round(runtime() - t, 3);
-	t = runtime();
+	trcout = round(usertime() - t, 3);
+	t = usertime();
 	for (i = 0; i < n; i++)
 		z = rcmul(A[i],B[i],m);
-	trcmul = round(runtime() - t, 3);
-	t = runtime();
+	trcmul = round(usertime() - t, 3);
+	t = usertime();
 	for (i = 0; i < n; i++)
 		z = rcsq(A[i],m);
-	trcsq = round(runtime() - t, 3);
-	t = runtime();
+	trcsq = round(usertime() - t, 3);
+	t = usertime();
 	for (i = 0; i < n; i++)
 		z = A[i] * B[i];
-	tmul = round(runtime() - t, 3);
-	t = runtime();
+	tmul = round(usertime() - t, 3);
+	t = usertime();
 	for (i = 0; i < n; i++)
 		z = A[i]^2;
-	tsq = round(runtime() - t, 3);
-	t = runtime();
+	tsq = round(usertime() - t, 3);
+	t = usertime();
 	for (i = 0; i < n; i++)
 		z = C[i] % A[i];
-	tmod = round(runtime() - t, 3);
-	t = runtime();
+	tmod = round(usertime() - t, 3);
+	t = usertime();
 	for (i = 0; i < n; i++)
 		quomod(C[i], A[i], x, y);
-	tquomod = round(runtime() - t,3);
+	tquomod = round(usertime() - t,3);
 
 	if (verbose > 1) {
 		printf("rcin: %d, rcout: %d, rcmul: %d, rcsq: %d\n",
@@ -286,7 +306,7 @@ define powtimes(str, N1, N2, n, verbose)
 		N2 = 1;
 
 	if (isnull(n)) {
-		n = ceil(K2/power(N1, 1.585)/N2);
+		n = ceil(test4100_K2/power(N1, 1.585)/N2);
 		printf ("n  = %d\n", n);
 	}
 	mat A[n];
@@ -294,8 +314,8 @@ define powtimes(str, N1, N2, n, verbose)
 	mat B[n];
 	v = olen(N1);
 
-	cp = config("pow2", 1);
-	crc = config("redc2", 1);
+	cp = config("pow2", 2);
+	crc = config("redc2", 2);
 
 	/* initialize redc and lastmod info */
 
@@ -306,29 +326,29 @@ define powtimes(str, N1, N2, n, verbose)
 		Ar[i] = rcin(A[i], v);
 		B[i] = rlen_4100(N2);
 	}
-	t = runtime();
+	t = usertime();
 	for (i = 0; i < n; i++)
 		z1 += pmod(A[i], B[i], v);
-	tbignum = round(runtime() - t, 4);
+	tbignum = round(usertime() - t, 4);
 	config("pow2", 1e6);
-	t = runtime();
+	t = usertime();
 	for (i = 0; i < n; i++)
 		z2 += pmod(A[i], B[i], v);
-	tnormal = round(runtime() - t, 4);
+	tnormal = round(usertime() - t, 4);
 	config("redc2",1e6);
-	t = runtime();
+	t = usertime();
 	for (i = 0; i < n; i++)
 		z3 += pmod(A[i], B[i], v);
-	tsmall = round(runtime() - t, 4);
-	t = runtime();
+	tsmall = round(usertime() - t, 4);
+	t = usertime();
 	for (i = 0; i < n; i++)
 		z4 += rcpow(Ar[i], B[i], v);
-	trcsmall = round(runtime() - t, 4);
-	config("redc2", 1);
-	t = runtime();
+	trcsmall = round(usertime() - t, 4);
+	config("redc2", 2);
+	t = usertime();
 	for (i = 0; i < n; i++)
 		z5 += rcpow(Ar[i], B[i], v);
-	trcbig = round(runtime() - t, 4);
+	trcbig = round(usertime() - t, 4);
 
 	if (z1 != z2) {
 		++m;
@@ -386,7 +406,7 @@ define inittimes(str,N,n,verbose)
 	}
 	m = 0;
 	if (isnull(n)) {
-		n = ceil(K1/N^2);
+		n = ceil(test4100_K1/N^2);
 		if (verbose > 1) {
 			printf ("n = %d\n", n);
 		}
@@ -399,13 +419,13 @@ define inittimes(str,N,n,verbose)
 		M[i] = olen(N);
 		A[i] = rand(M[i]);
 	}
-	t = runtime();
+	t = usertime();
 	for (i = 0; i < n; i++)
 		R[i] = rcin(A[i], M[i]);
-	trcin = round(runtime() - t, 4);
+	trcin = round(usertime() - t, 4);
 	for (i = 0; i < n; i++)
 		B[i] = rcout(R[i], M[i]);
-	trcout = round(runtime() - t, 4);
+	trcout = round(usertime() - t, 4);
 	for (i = 0; i < n; i++) {
 		if (B[i] != A[i]) {
 			++m;

cal/test4600.cal

@@ -1,17 +1,36 @@
 /*
- * Copyright (c) 1996 Ernest Bowen and Landon Curt Noll
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * test4600 - 4600 series of the regress.cal test suite
  *
- * By: Ernest Bowen and Landon Curt Noll
- *     ernie@neumann.une.edu.au and http://reality.sgi.com/chongo/
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
  *
- * This library is used by the 4600 series of the regress.cal test suite.
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: test4600.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test4600.cal,v $
+ *
+ * Under source code control:	1996/07/02 20:04:40
+ * File existed as early as:	1996
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
 
-global defaultverbose = 1		/* default verbose value */
-global err;
+defaultverbose = 1;	/* default verbose value */
 
 /*
  * test globals
@@ -33,10 +52,10 @@ define stest(str, verbose)
 	/*
 	 * do file operations
 	 */
-	f = fopen("junk4600", "w");
+	f = fopen("junk4600", "wb");
 	if (iserror(f)) {
 		print 'failed';
-		print '**** fopen("junk4600", "w") failed';
+		print '**** fopen("junk4600", "wb") failed';
 		return 1;
 	}
 	if (iserror(fputs(f,
@@ -47,9 +66,9 @@ define stest(str, verbose)
 		print '**** fputs(f, "Fourscore ... failed';
 		return 1;
 	}
-	if (iserror(freopen(f, "r"))) {
+	if (iserror(freopen(f, "rb"))) {
 		print 'failed';
-		print '**** iserror(freopen(f, "r")) failed';
+		print '**** iserror(freopen(f, "rb")) failed';
 		return 1;
 	}
 	if (iserror(rewind(f))) {
@@ -153,7 +172,7 @@ define ttest(str, m, n, verbose)
 		print str:":",:;
 	}
 	i = rm("-f", "junk4600");
-	f = fopen("junk4600", "w");
+	f = fopen("junk4600", "wb");
 
 	if (isnull(n))
 		n = 4;
@@ -178,7 +197,7 @@ define ttest(str, m, n, verbose)
 	fflush(f);
 	if (verbose > 1)
 		printf("File has size %d\n", pos[i]);
-	freopen(f, "r");
+	freopen(f, "rb");
 	if (size(f) != pos[i]) {
 		print 'failed';
 		printf("**** Failure 1 for file size\n");

cal/test5100.cal

@@ -0,0 +1,70 @@
+/*
+ * test5100 - 5100 series of the regress.cal test suite
+ *
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
+ *
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: test5100.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test5100.cal,v $
+ *
+ * Under source code control:	1996/12/02 23:57:10
+ * File existed as early as:	1996
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+defaultverbose = 1;	/* default verbose value */
+
+/*
+ * We test the new code generator declaration scope and order.
+ *
+ * In this function two static variables a5100 and b5100 are created,
+ * with zero value, when the definition is read.
+ *
+ * The variable a5100 is initialized with the value x if and when this
+ * function is first called with a positive even x. The varable b5100
+ * is similarly initialized if and when this function is first called positive
+ * odd x.
+ *
+ * Each time this function is called with positive integer x, a5100 or
+ * b5100 is incremented.
+ *
+ * Finally the values of the static variables are assigned to the global
+ * variables a5100 and b5100.
+ *
+ * Immediately after the last of several calls to this function
+ * a5100 = 0 if none of the x's have been positive even, otherwise
+ * a5100 = the first positive even x + the number of positive even x's,
+ * and b5100 = 0 if none of the x's have been positive odd, otherwise
+ * b5100 = the first positive odd x + the number of positive odd x's.
+ */
+define test5100(x)
+{
+	if (isint(x) && x > 0) {
+		if (iseven(x)) {
+			static a5100 = x;
+			a5100++;
+		} else {
+			static b5100 = x;
+			b5100++;
+		}
+	}
+	global a5100 = a5100, b5100 = b5100;
+}

cal/test5200.cal

@@ -0,0 +1,52 @@
+/*
+ * test5200 - 5200 series of the regress.cal test suite
+ *
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
+ *
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: test5200.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test5200.cal,v $
+ *
+ * Under source code control:	1997/02/07 02:48:10
+ * File existed as early as:	1997
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+defaultverbose = 1;	/* default verbose value */
+
+/*
+ * test the fix of a global/static bug
+ *
+ * Given the following:
+ *
+ *	global a = 10;
+ *	static a = 20;
+ *	define f(x) = a + x;
+ *	define g(x) {global a = 30; return a + x;}
+ *	define h(x) = a + x;
+ *
+ * Older versions of
+ */
+global a5200 = 10;
+static a5200 = 20;
+define f5200(x) = a5200 + x;
+define g5200(x) {global a5200 = 30; return a5200 + x;}
+define h5200(x) = a5200 + x;

cal/test8400.cal

@@ -0,0 +1,48 @@
+/*
+ * test8400 - 8400 series of the regress.cal test suite
+ *
+ * Copyright (C) 1999  Landon Curt Noll
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.1 $
+ * @(#) $Id: test8400.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test8400.cal,v $
+ *
+ * Under source code control:	1999/10/31 01:00:03
+ * File existed as early as:	1999
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+print "8401: in test8400.cal";
+
+/*
+ * test8400 - dummy function to allow a check of quit-based memory leaks
+ */
+define test8400()
+{
+    local x8401 = 19937;    /* watch for lost memory */
+    static s8401 = 44497;   /* watch for lost memory */
+
+    return x8401+s8401;
+}
+print "8402: parsed test8400()";
+vrfy(test8400() == 64434,	    '8403: test8400() == 64434');
+
+quit;
+prob('quit did not end test8400.cal');

cal/test8500.cal

@@ -1,17 +1,39 @@
 /*
- * Copyright (c) 1996 Ernest Bowen and Landon Curt Noll
- * Permission is granted to use, distribute, or modify this source,
- * provided that this copyright notice remains intact.
+ * test8500 - 8500 series of the regress.cal test suite
  *
- * By: Ernest Bowen and Landon Curt Noll
- *     ernie@neumann.une.edu.au and http://reality.sgi.com/chongo/
+ * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
  *
- * This library is used by the 8500 series of the regress.cal test suite.
+ * Primary author:  Ernest Bowen
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.2 $
+ * @(#) $Id: test8500.cal,v 30.2 2013/08/11 08:41:38 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test8500.cal,v $
+ *
+ * Under source code control:	1999/11/12 20:59:59
+ * File existed as early as:	1999
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
+
 /*
  * Tests of // and % operators
  */
 
+
 global err_8500;	/* divmod_8500 error count */
 global L_8500;		/* list of problem values */
 global ver_8500;	/* test verbosity - see setting comment near bottom */
@@ -112,8 +134,8 @@ define onetest_8500(a,b,rnd) {
  * The rounding parameter is randomly chosen.
  *
  * After a run of divmod_8500 the a, b, rnd values which gave failure are
- * stored in the list L_8500.  L_8500[0], L_8500[1], L_8500[2] are a, b, rnd for the first
- * test, etc.
+ * stored in the list L_8500.  L_8500[0], L_8500[1], L_8500[2] are a, b,
+ * rnd for the first* test, etc.
  */
 define divmod_8500(N = 10, M1 = 2^128, M2 = 2^64, testnum = 0)
 {

cal/toomcook.cal

@@ -0,0 +1,362 @@
+/*
+ * toomcook - implementation of Toom-Cook(3,4) multiplication algorithm
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * @(#) $Revision: 30.4 $
+ * @(#) $Id: toomcook.cal,v 30.4 2013/08/18 20:01:53 chongo Exp $
+ * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/toomcook.cal,v $
+ *
+ * Under source code control:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+/*
+ * hide internal function from resource debugging
+ */
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+/* */
+define toomcook3(a,b){
+  local alen blen  a0 a1 a2  b0 b1 b2 m ret sign mask;
+  local S0 S1 S2 S3 S4 T1 T2;
+
+  if(!isint(a) || !isint(b))
+      return newerror("toomcook3(a,b): a and/or b is not an integer");
+
+  alen = digits(a,2);
+  blen = digits(b,2);
+
+  sign = sgn(a) * sgn(b);
+  /* sgn(x) returns 0 if x = 0 */
+  if(sign == 0) return 0;
+
+  m = min(alen,blen)//3;
+  mask = ~-(1<<m);
+
+  /*
+    Cut-off at about 4,000 dec. digits
+    TODO: check
+  */
+  if(isdefined("test8900")){
+    if(m < 20) return a*b;
+  }
+  else{
+    if(m < 4096 ) return a*b;
+  }
+  a = abs(a);
+  b = abs(b);
+
+  a0 = a & mask;
+  a1 = (a>>m) & mask;
+  a2 = (a>>(2*m));
+
+  b0 =  b         & mask;
+  b1 = (b>>m)     & mask;
+  b2 = (b>>(2*m));
+
+  /*
+    Zimmermann
+  */
+
+  S0 = toomcook3(a0 , b0);
+  S1 = toomcook3((a2+a1+a0) , (b2+b1+b0));
+  S2 = toomcook3(((a2<<2)+(a1<<1)+a0) , ((b2<<2)+(b1<<1)+b0));
+  S3 = toomcook3((a2-a1+a0) , (b2-b1+b0));
+  S4 = toomcook3(a2,b2);
+  T1 = (S3<<1) + S2;
+  T1 /= 3;
+  T1 += S0;
+  T1 >>= 1;
+  T1 -= S4<<1;
+  T2 = (S1 + S3)>>1;
+  S1 -= T1;
+  S2 = T2 - S0 - S4;
+  S3 = T1 - T2;
+
+  ret =  (S4<<(4*m)) + (S3<<(3*m)) + (S2<<(2*m)) + (S1<<(1*m)) + S0;
+
+
+  ret = sign *ret;
+
+  return ret;
+}
+
+define toomcook3square(a){
+  local alen  a0 a1 a2  m tmp tmp2 ret sign S0 S1 S2 S3 S4 T1 mask;
+
+  if(!isint(a))return newerror("toomcook3square(a): a is not integer");
+
+  alen = digits(a,2);
+
+  sign = sgn(a) * sgn(a);
+  if(sign == 0) return 0;
+
+  m = alen//3;
+  mask = ~-(1<<m);
+  /*
+    Cut-off at about 5,000 dec. digits
+    TODO: check
+  */
+
+  if(isdefined("test8900")){
+    if(m < 20) return a^2;
+  }
+  else{
+    if(m < 5000 ) return a^2;
+  }
+
+  a = abs(a);
+
+  a0 = a & mask;
+  a1 = (a>>m) & mask;
+  a2 = (a>>(2*m));
+
+  /*
+   Bodrato/Zanoni
+   */
+  S0 = toomcook3square(a0);
+  S1 = toomcook3square(a2+a1+a0);
+  S2 = toomcook3square(a2-a1+a0);
+  S3 = toomcook3(a1<<1,a2);
+  S4 = toomcook3square(a2);
+
+  T1 = (S1 + S2)>>1;
+  S1 = S1 - T1 - S3;
+  S2 = T1 - S4 -S0;
+
+
+  S1 = S1<<(1*m);
+  S2 = S2<<(2*m);
+  S3 = S3<<(3*m);
+  S4 = S4<<(4*m);
+
+  ret = S0 + S1 + S2 + S3 + S4;
+  ret = sign *ret;
+
+  return ret;
+}
+
+define toomcook4(a,b)
+{
+
+  local  a0 a1 a2 a3 b0 b1 b2 b3 b4 ret tmp tmp2 tmp3 sign;
+  local  m alen blen mask;
+  local w1, w2, w3, w4, w5, w6, w7;
+
+  if(!isint(a) || !isint(b))
+    return newerror("toomcook4(a,b): a and/or b is not integer");
+
+  alen = digits(a,2);
+  blen = digits(b,2);
+
+  sign = sgn(a) * sgn(b);
+
+  if(sign == 0) return 0;
+
+  m = min(alen//4,blen//4);
+  mask = ~-(1<<m);
+
+  if(isdefined("test8900")){
+    if(m < 100) return toomcook3(a,b);
+  }
+  else{
+    if(m < 256*3072) return toomcook3(a,b);
+  }
+
+  a = abs(a);
+  b = abs(b);
+
+
+  a0 = a & mask;
+  a1 = (a>>m) & mask;
+  a2 = (a>>(2*m)) & mask;
+  a3 = (a>>(3*m));
+
+  b0 =  b         & mask;
+  b1 = (b>>m)     & mask;
+  b2 = (b>>(2*m)) & mask;
+  b3 = (b>>(3*m));
+
+  /*
+    Bodrato / Zanoni
+  */
+
+  w3 = a3 + (a1 + (a2 + a0));
+  w7 = b3 + (b1 + (b2 + b0));
+
+  w4 = -a3 + (-a1 + (a2 + a0));
+  w5 = -b3 + (-b1 + (b2 + b0));
+
+  w3 = toomcook4(w3, w7);
+  w4 = toomcook4(w4, w5);
+
+  w5 = a3 + ((a1<<2) + ((a2<<1) + (a0<<3)));
+  w2 = b3 + ((b1<<2) + ((b2<<1) + (b0<<3)));
+
+  w6 = -a3 + (-(a1<<2) + ((a2<<1) + (a0<<3)));
+  w7 = -b3 + (-(b1<<2) + ((b2<<1) + (b0<<3)));
+
+  w5 = toomcook4(w5, w2);
+  w6 = toomcook4(w6, w7);
+
+
+  w2 = (a3<<3) + ((a1<<1) + ((a2<<2) + a0));
+  w7 = (b3<<3) + ((b1<<1) + ((b2<<2) + b0));
+
+
+  w2 = toomcook4(w2, w7);
+
+  w1 = toomcook4(a3, b3);
+  w7 = toomcook4(a0, b0);
+
+  w2 = w2 + w5;
+  w6 = w5 - w6;
+  w4 = w3 - w4;
+  w5 = w5 - w1;
+  w5 -= w7 << 6;
+  w4 = w4>>1;
+  w3 = w3 - w4;
+  w5 = w5<<1;
+  w5 = w5 - w6;
+  w2 -= w3 * 65;
+  w3 = w3 - w7;
+  w3 = w3 - w1;
+  w2 += w3 * 45;
+  w5 -= w3<<3;
+  w5 = w5//24;
+  w6 =  w6 - w2;
+  w2 -= w4<<4;
+  w2 = w2//18;
+  w3 = w3 - w5;
+  w4 = w4 - w2;
+  w6 += w2 * 30;
+  w6 = w6//60;
+  w2 = w2 - w6;
+
+
+  ret = w7 + (w6<<m) + (w5<<(2*m)) + (w4<<(3*m))+ (w3<<(4*m))+
+        (w2<<(5*m))+ (w1<<(6*m));
+
+  ret = sign *ret;
+
+  return ret;
+}
+
+define toomcook4square(a){
+  local  a0 a1 a2 a3 ret S0 S1 S2 S3 S4 S5 S6 S7 tmp tmp2 tmp3;
+  local  sign m alen mask;
+  local T0 T1 T2 T3 T4 T5 T6 T7 T8;
+
+  if(!isint(a) )return newerror("toomcook3square(a): a is not integer");
+
+  alen = digits(a,2);
+
+  sign = sgn(a) * sgn(a);
+  /* sgn(x) returns 0 if x = 0 */
+  if(sign == 0) return 0;
+
+  m = (alen)//4;
+  mask = ~-( 1 << m );
+
+  /*
+    cut-off at about 2 mio. dec. digits
+    TODO: check!
+  */
+
+  if(isdefined("test8900")){
+    if(m < 100) return toomcook3square(a);
+  }
+  else{
+    if(m < 512*3072) return toomcook3square(a);
+  }
+
+  a = abs(a);
+
+  a0 = a          & mask;
+  a1 = (a>>m)     & mask;
+  a2 = (a>>(2*m)) & mask;
+  a3 = (a>>(3*m)) ;
+
+  /*
+    Bodrato / Zanoni
+  */
+
+  S1 = toomcook4square(a0);
+  S2 = toomcook4(a0<<1,a1);
+  S3 = toomcook4((a0 + a1 - a2 - a3 ) , (a0 - a1 - a2 + a3 ));
+  S4 = toomcook4square(a0 + a1 + a2 + a3 );
+  S5 = toomcook4( (a0 - a2 )<<1 , (a1 - a3 ));
+  S6 = toomcook4(a3<<1 , a2);
+  S7 = toomcook4square(a3);
+
+  T1 = S3 + S4;
+  T2 = (T1 + S5 )>>1;
+  T3 = S2 + S6;
+  T4 = T2 - T3;
+  T5 = T3 - S5;
+  T6 = T4 - S3;
+  T7 = T4 - S1;
+  T8 = T6 - S7;
+
+  ret =   (S7<<(6*m)) + (S6<<(5*m)) + (T7<<(4*m))
+        + (T5<<(3*m)) + (T8<<(2*m)) + (S2<<(1*m))  + S1;
+
+  ret = sign *ret;
+
+  return ret;
+}
+
+/*
+  TODO: Implement the asymmetric variations
+*/
+
+/*
+  produce_long_random_number(n) returns large pseudorandom numbers. Really large
+  numbers, e.g.:
+      produce_long_random_number(16)
+  is ca 4,128,561 bits (ca 1,242,821 dec. digits) large. Exact length is not
+  predeterminable because of the chaotic output of the function random().
+*/
+define __CZ__produce_long_random_number(n)
+{
+  local ret k;
+  ret = 1;
+  if(!isint(n) || n<1)
+    return newerror("__CZ__produce_long_random_number(n): "
+    		    "n is not an integer >=1");
+  for(k=0;k<n;k++){
+    ret += random();
+    ret  = toomcook4square(ret);
+  }
+  return ret;
+}
+
+
+/*
+ * restore internal function from resource debugging
+ * report important interface functions
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "toomcook3(a,b)";
+    print "toomcook3square(a)";
+    print "toomcook4(a,b)";
+    print "toomcook4square(a)";
+}