Release 2.12.8.2

The following are the changes in this release:

    Calc can now correctly compile without CUSTOM being defined,
    thanks to a report by <GitHub user barsnick>.

.gitignore

@@ -0,0 +1,103 @@
+# files and directories created during the building of calc and other Makefile actions
+#
+# NOTE: While many of these might be part of a released calc tarball, they are
+#	not consider development source.  Some other file(s) and/or programs
+#	generate these files.
+#
+.dynamic
+.hsrc
+Makefile.simple
+NOTES
+align32.h
+args.h
+cal/.all
+calc
+calc.1
+calc.usage
+calcerr.c
+calcerr.h
+conf.h
+cscript/.all
+cscript/4dsphere
+cscript/README
+cscript/fproduct
+cscript/mersenne
+cscript/piforever
+cscript/plus
+cscript/powerterm
+cscript/simple
+cscript/square
+custom/.all
+custom/Makefile.simple
+custom/libcustcalc*
+endian
+endian_calc.h
+fposval.h
+have_const.h
+have_fpos.h
+have_fpos_pos.h
+have_getpgid.h
+have_getprid.h
+have_getsid.h
+have_gettime.h
+have_memmv.h
+have_newstr.h
+have_offscl.h
+have_posscl.h
+have_rusage.h
+have_stdlib.h
+have_stdvs
+have_strdup.h
+have_string.h
+have_times.h
+have_uid_t.h
+have_unistd.h
+have_unused.h
+have_urandom.h
+have_ustat.h
+help/.all
+help/COPYING
+help/COPYING-LGPL
+help/binding
+help/bindings
+help/bug
+help/bugs
+help/builtin
+help/change
+help/changes
+help/contrib
+help/copy
+help/cscript
+help/custom_cal
+help/errorcode
+help/errorcodes
+help/full
+help/funclist
+help/funclist.c
+help/libcalc
+help/man
+help/new_custom
+help/question
+help/questions
+help/resource
+help/type
+help/usage
+libcalc*
+libcustcalc*
+longbits
+longbits.h
+sample_many
+sample_rand
+terminal.h
+ver_calc
+
+# other commonly excluded patterns
+#
+*~
+*.BAK
+core*
+.DS_Store
+*.dSYM/
+*.[oa]
+.*.swp
+*,v

BUGS

@@ -1,12 +1,12 @@
 If you notice something wrong, strange or broken, try rereading:
 
-   README.FIRST
+    README.FIRST
-   HOWTO.INSTALL
+    HOWTO.INSTALL
-   BUGS (this file)
+    BUGS (this file)
 
 If that does not help, cd to the calc source directory and try:
 
-   make check
+    make check
 
 Look at the end of the output, it should say something like:
 
@@ -15,74 +15,163 @@ Look at the end of the output, it should say something like:
 
 If it does not, then something is really broken!
 
+To be sure that your version of calc is up to date, check out:
+
+    http://www.isthe.com/chongo/tech/comp/calc/calc-mirror.html
+
 If you made and modifications to calc beyond the simple Makefile
 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:
+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.
-	http://www.isthe.com/chongo/tech/comp/calc/calc-download.html
-
-The calc web site is located at:
-
-	http://www.isthe.com/chongo/tech/comp/calc/index.html
 
 =-=
 
-If you have tried all of the above and things still are not right,
+The BEST WAY TO SEND IN A BUG REPORT is via calc GitHub issue URL:
-then it may be time to send in a bug report.  You can send bug
-and bug fixes reports to:
 
-	calc-bug-report at asthe dot com
+    https://github.com/lcn2/calc/issues
 
-	NOTE: Remove spaces and replace 'at' with @, 'dot' with .
+If you see an existing issue that matches your problem, look
+over the notes and if needed, add your own observation,
+even if you just add to an existing issue:
 
-    This replaces the old calc-bugs at asthe dot com address.
+    I have this issue too
 
-    To be sure we see your EMail reporting a calc bug, please use the
+If you don't see your issue addressed, then on the above
-    following phase in your EMail Subject line:
+GitHub web page, click on this button:
 
-	calc bug report
+    ((New Issue))
 
-    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
+If you prefer to not use GitHub, then you
-    to the calc-tester mailing list (see below) and then to
+may send bug and bug fixes reports 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:
+    calc-bugrept-mail at asthe dot com
 
-    * a description of the problem
+    NOTE: Remove spaces and replace 'at' with @, 'dot' with .
-    * the version of calc you are using (if you cannot get calc
-      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
-    * any compiler warnings or errors that you saw
-    * cd to the calc source directory, and type:
 
-	make debug > debug.out 2>&1		(sh, ksh, bash users)
+    NOTE: This replaces the old calc-bugs at asthe dot com address.
-	make debug >& debug.out			(csh, tcsh users)
 
-      and send the contents of the 'debug.out' file.
+PLEASE put following the SPECIAL PHRASE somewhere in your Email Subject line:
 
-Stack traces from core dumps are useful to send as well.
+    calc bug report
 
-Fell free to use the above address to send in big fixes (in the form
+You may add additional words to your subject line.
+
+Suggestion:
+
+    From time to time, the Email address and Subject SPECIAL PHRASE
+    may change so verify you have the current info by visiting:
+
+	http://www.isthe.com/chongo/tech/comp/calc/calc-bugrept.html
+
+IMPORTANT:
+
+    PLEASE use the above SPECIAL PHRASE somewhere in the Subject line or
+    the mail system won't deliver your Email message.
+
+Keep in mind that the best way to report on a calc bug is
+via the above mentioned calc GitHub issue URL.
+
+Please be patient as we cannot always respond to Email messages quickly.
+
+=-=
+
+When you send your report, via the calc GitHub issue URL or Email,
+please include the following information:
+
+    * A description of the problem
+
+    * Version of calc you are using
+
+	If you cannot compile calc, then look at version.c
+	and report the #define that start with:
+
+	    #define MAJOR_VER
+	    #define MINOR_VER
+	    #define MAJOR_PATCH
+	    #define MINOR_PATCH
+
+    * If you modified calc from an official patch,
+      send us the mods you made
+
+    * Type and version of the operating system
+
+    * Type and version of compiler
+
+    * Send us all compiler warnings or errors you find
+
+    * If calc dumped core, try to send us a core dump stack trace
+
+    * cd to the calc source directory, and send the contents
+      of debug.out produced by this command:
+
+	make debug > debug.out 2>&1
+
+Fell free to use the above address to send in bug fixes (in the form
 of a context diff patch).
 
 =-=
 
-Known bugs:
+Known bugs in calc:
+
+    Under macOS, the installation of the calc man page fails.
 
     The output of the alg_config.cal resource file is bogus.
     We would welcome a replacement for this code.
 
+    Calc shell scripts do not read from stdin properly,
+    we all as a number of the cscript examples.
+
+    The argv() function is behaving differently
+    when run in calc shell script mode:
+
+	When calc is run as:
+
+	    calc -s a bb ccc
+
+        and given this input on the command prompt:
+
+	    print "config(\"program\")=", config("program");
+	    print "argv()=", argv();
+	    argc = argv();
+	    for (i=0; i < argc; ++i) {
+		print "argv(":i:")=", argv(i);
+	    }
+
+	calc prints:
+
+	    config("program")= calc
+	    argv()= 3
+	    argv(0)= a
+	    argv(1)= bb
+	    argv(2)= ccc
+
+	but when it is run as a script called ./simple:
+
+	    #!/usr/local/bin/calc -q -s -f
+	    print "config(\"program\")=", config("program");
+	    print "argv()=", argv();
+	    argc = argv();
+	    for (i=0; i < argc; ++i) {
+		print "argv(":i:")=", argv(i);
+	    }
+
+	under Linux prints:
+
+	    config("program")= /usr/bin/calc
+	    argv()= 4
+	    argv(0)= ./simple
+	    argv(1)= a
+	    argv(2)= bb
+	    argv(3)= ccc
+
+	and under macOS simply enters into interactive mode.
+
     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
-    EMail your bug reports and hopefully patches to fix them.
+    Email your bug reports and hopefully patches to fix them.
 
 =-=
 
@@ -135,32 +224,7 @@ mis-features in calc:
 
 =-=
 
-To subscribe to the calc-tester mailing list, visit the following URL:
+## Copyright (C) 1999-2014,2021  Landon Curt Noll
-
-	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
@@ -176,10 +240,6 @@ To subscribe to the calc-tester mailing list, visit the following URL:
 ## 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
 ##

CHANGES

@@ -1,12 +1,378 @@
-The following are the changes from calc version 2.12.5.6 to date:
+The following are the changes from calc version 2.12.8.1 to date:
 
-    Fixed a crash that showed up on Mac OS that was reported
+    Fixed how the *.tar.bz2 are formed.  The calc-2.12.8.0.tar.bz2 file
-    by Richard Outerbridge <outer at interlog dot com> and
+    that was formed for calc version 2.12.8.0 was missing most files.
-    fixed by Stuart Henderson <stu at spacehopper dot org>.
+
-    Thanks goes to both!
+    Expanded 'make chk' to also verify that 'make distchk' and 'make
+    distlist' execute successfully.  This will help check a regression
+    of the bug that produced the bogus calc-2.12.8.0.tar.bz2 file.
+
+    Added additional regression tests related 0^(zero_expression)==1.
+
+    Calc can now correctly compile without CUSTOM being defined,
+    thanks to a report by <GitHub user barsnick>.
 
 
-The following are the changes from calc version 2.12.5.4 to 2.12.5.5:
+The following are the changes from calc version 2.12.7.5 to 2.12.8.0:
+
+    Fixed a mistake in "help intro" where some inserted text changed
+    the value of "." and thus made the next result incorrect.
+
+    Clarified in "help factor" that 1 is returned if no
+    factor below the limit was found.
+
+    Removed Makefile variable ${MAKEFILE_REV}.
+
+    The missing cscript/square.calc file has been restored.
+
+    Fixed compiler errors and warnings related to GCC.  In particular,
+    gcc/9.3.1 and gcc/10.2.1 now compile calc without any compiler
+    errors or warnings, even with -Werror -Wextra -pedantic.
+
+    To print out information about the calc compilation
+    environment, we added the following make rule:
+
+	make calcinfo
+
+    Improved how 'make debug' operates.
+
+    Moved help/contrib to CONTRIB-CODE.  The help/contrib file
+    is now build from a copy of CONTRIB-CODE.
+
+    Created a new calc bug report Email address.  Created a new
+    calc question Email address.  Created a new calc contribution
+    Email address.  See the BUGS file for details.
+
+    Added "help questions" to print the QUESTIONS help file.
+
+    If the environment variable $CALCHELP is defined and is non-empty,
+    then calc help files will be in the directory by the $CALCHISTFILE
+    environment variable.
+
+    If the environment variable $CALCCUSTOMHELP is defined and is
+    non-empty, then custom calc help files will be in the directory
+    by the $CALCCUSTOMHELP environment variable.
+
+    Fixed a number of typos in text and in source code comments.
+
+    The calc-tester mailing list has been retired.  See:
+
+	* How to submit a calc bug report:
+
+	    http://www.isthe.com/chongo/tech/comp/calc/calc-bugrept.html
+
+	* How to contribute code to calc:
+
+	    http://www.isthe.com/chongo/tech/comp/calc/calc-contrib.html
+
+	* How to submit a question about calc:
+
+	    http://www.isthe.com/chongo/tech/comp/calc/calc-question.html
+
+
+The following are the changes from calc version 2.12.7.1 to 2.12.7.5:
+
+    Corrected CHANGES notes that were mixed up for TAB, VT, CR &
+    NL.  The code in 2.12.7.0 is correct.  The CHANGE notes should
+    have read:
+
+	The following is a partial list of escape sequences recognized
+	in strings and in printf formats:
+
+	    \a	audible bell	byte 0x07 in ASCII encoding
+	    \b	backspace	byte 0x08 in ASCII encoding
+	    \f	form feed	byte 0x0c in ASCII encoding
+	    \n	newline		byte 0x0a in ASCII encoding
+	    \r	return		byte 0x0d in ASCII encoding
+	    \t	tab		byte 0x09 in ASCII encoding
+	    \v	vertical tab	byte 0x0b in ASCII encoding
+
+    Fixed a segfault when getpwuid() returned NULL during initialization.
+    Thanks goes to baratharon GitHub user for reporting this issue.
+
+    Requiring calc shell scripts to use -s -f at the end of the
+    initial #! line.
+
+    Fixed /tmp/mersenne example in calc(1) man page.
+
+    Added make variable ${ARCH_CFLAGS}.  The ${ARCH_CFLAGS} is
+    added after ${CCMISC} and before ${EXTRA_CFLAGS} when building
+    the ${CFLAGS} for compiling C code.  are ${CC} when compiling
+    C files.  The default value is:
+
+	ARCH_CFLAGS= -march=native
+
+    which directs C compiler to compile for the native machine.
+    To disable use of '-march=native', set ARCH_CFLAGS to the empty
+    string as in:
+
+	make all ARCH_CFLAGS=
+
+    To make calc RPMs more portable, they are compiled with an
+    empty ARCH_CFLAGS.
+
+    Fixed issues relating to compiling on macOS.  Fixed issues
+    where <unistd.h> is needed.
+
+    Fixed typos in help/intro and README.md. <<GitHub guilhermgonzaga>>
+
+    Copied missing description lines from help/intro to README.md
+    "What is calc?" section.  <<GitHub guilhermgonzaga>>
+
+    GCC 7 added a warning on fall through in case statements.  It's
+    enabled by -Wextra and treated as an error due to -Wall so it
+    breaks compilation.  See -Wimplicit-fallthrough in the GCC
+    manual.  The default value is 3, which means a comment matching
+    some specific regexes is enough to disable the warning.
+    Fixed spaces vs tabs and use FALLTHRU as it's used elsewhere.
+    Fixed one FALLTHRU comment that was inconsistent with others.
+    <<GitHub jcul>>
+
+    Fixed minor typo on help/power. <<GitHub thegithubr>>
+
+    By default, the calc history file is located in ~/.calc_history.
+    Now, if the environment variable $CALCHISTFILE is defined
+    and is non-empty, then calc history file will be defined
+    by the $CALCHISTFILE environment variable.
+
+    Calc as defined 0^0 as 1.  However in the past, 0 raised to
+    an expression that evaluated to zero returned 1.  The result
+    was that 0^0 was different than 0^(6-6) or even 0^(0).
+    Now, calc will return 1 for 0^(0) and 0^zero when zero == 0.
+
+    The missing cscript/square.calc file has been restored.
+
+
+The following are the changes from calc version 2.12.6.10: to 2.12.7.0:
+
+    Added a patch to replaces the manual search for include files
+    in $(INCDIR) in the have_*.h targets with compiler invocations.
+    Thanks goes to Helmut Grohne (helmut at subdivi dot de) who
+    implemented the patch and posted it to the Debian bug tracker
+    and Martin Buck (m at rtin-buck dor de) for forwarding it to us.
+
+    The check_include make rule was fixed to not assume /usr/include.
+
+    The qprintnum() function now takes outdigits as a 3rd argument.
+    Most of the time, this 3rd argument is just conf->outdigits.
+    But when it comes to the experimental '%g', this value can
+    change.  This avoids having to modify conf->outdigits.
+
+    Fixed a problem where gcc complains about E_FUNC not being defined
+    for Linux systems as reported by Martin Buck (m at rtin-buck dor de).
+
+    Updated the help files help/config, help/display, help/epsilon,
+    help/fprint, help/printf, and help/strprintf to give more
+    examples of how display digits and epsilon precision interact
+    with displaying values.
+
+    Added more information about %g in the help file help/printf.
+
+    The '\a' is now recognized in a printf format string as the
+    single byte audible bell character (byte 0x07 in ASCII encoding).
+
+    The following is a partial list of escape sequences recognized
+    in strings and in printf formats:
+
+	\a	audible bell	byte 0x07 in ASCII encoding
+	\b	backspace	byte 0x08 in ASCII encoding
+	\f	form feed	byte 0x0c in ASCII encoding
+	\n	newline		byte 0x0a in ASCII encoding
+	\r	return		byte 0x0d in ASCII encoding
+	\t	tab		byte 0x09 in ASCII encoding
+	\v	vertical tab	byte 0x0b in ASCII encoding
+
+
+The following are the changes from calc version 2.12.6.9 to 2.12.6.9:
+
+    Fixed a number of core dump bugs related to the calculation of
+    tan(), cot(), sec(), csc(), tanh(), coth(), sech(), and csch(),
+    asin(), acos(), asinh(), acosh(), where when a call to an
+    underlying function produced an invalid value.  Thanks goes to
+    github user wuxiuheng for reporting this problem.
+
+    A number of trigonometric and hyperbolic functions that incorrectly
+    returned E_LOGINF, now return a new error code that is more
+    specific to the trigonometric or hyperbolic function.  The
+    following is a list of these new error codes: E_TAN3 E_TAN4
+    E_COT3 E_COT4 E_SEC3 E_CSC3 E_TANH3 E_TANH4 E_COTH3 E_COTH4
+    E_SECH3 E_CSCH3 E_ASIN3 E_ACOS3 E_ASINH3 E_ACOSH3 E_ATAN3 E_ACOT3
+    E_ASEC3 E_ACSC3 E_ATANH3 E_ACOTH3 E_ASECH3 E_ACSCH3.
+
+    Added regression tests 3729 thru 3732 to test E_TAN3, E_COT3,
+    E_SEC3 and E_CSC3 respectively.
+
+    Added experimental %g printf (and strprintf) format implementation
+    based on pull request from github user 10110111.
+
+    Made experimental changes to macOS builds to not require use of
+    /usr/include.  The INCDIR for macOS uses:
+
+	INCDIR= $(shell xcrun --show-sdk-path --sdk macosx)/usr/include
+
+    to determine the upper path of the /usr/include directory for macOS.
+    In some rare cases, the Darwin target seems to not automatically detected.
+    If you are running under macOS, and that happens, you can force
+    the target to be Darwin:
+
+	# for macOS users only, force the target to be darwin
+	#
+	make target=Darwin clobber
+	make target=Darwin all
+	make target=Darwin chk
+	make target=Darwin install
+
+
+The following are the changes from calc version 2.12.6.6 to 2.12.6.8:
+
+    For historical purposes, in lucas.cal, gen_v1(1, n) always returns 4.
+
+    Fixed some compiler warnings, thanks to a report by Mike
+    <michael dot d dot ince at gmail dot com>.
+
+    Added work around for a gcc warning bug, thanks to a report by Mike
+    <michael dot d dot ince at gmail dot com>.
+
+    Fixed errors in various help files such as:
+
+	mat randbit seed srandom types
+
+    Removed the MAXSTRING symbol because it was no longer used by calc.
+
+    Increased HIST_SIZE (depth of the history stack) from 10k to 32k.
+
+    Increased TTYSIZE (reallocation size for terminal buffers) from 100 to 8191.
+
+    Increased MAXDEPTH (maximum depth of input stack) from 10 to 255.
+
+    Increased interactive input buffer size from 1024 to 256k.  This has the
+    effect of increasing the maximum length of an input line from a tty.
+    This helps with an interactive bug that was reported by Ruslan Kabatsayev
+    (b7 dot 10110111 at gmail dot com).
+
+    The calc man page indicates that -d also disables the printing of the
+    leading tilde.
+
+    Added information to "help command" about how to silence messages
+    while reading calc resource files.
+
+    Fixed an error message buffer overflow thanks to a report by
+    Frank Peters <nlp at northernlightsphoto dot biz>.
+
+    Replaced all use of the C function sprintf() with snprintf().
+    Replaced all use of the C funcion vsprintf() with vsnprintf().
+    Replaced all DONT_HAVE_VSPRINTF with DONT_HAVE_VSNPRINTF.
+    Replaced all Makefile var ${HAVE_VSPRINTF} with ${HAVE_VSNPRINTF}.
+
+
+The following are the changes from calc version 2.12.6.4 to 2.12.6.5:
+
+    Fixed warning about undefined operations involving the qlink(q)
+    macro by replacing that macro with an inline-function.  Thanks goes
+    to David Haller <dnh at opensuse dot org> for this fix.
+
+    NOTE for Windows 10 users: Pavel Nemec <pane at seznam dot cz>
+    reported that calc version 2.12.6.4 has been successfully
+    compiled, installed and running on Windows 10.  See README.WINDOWS
+    for more details.
+
+
+The following are the changes from calc version 2.12.6.1 to 2.12.6.3:
+
+    Improved gen_v1(h,n) in lucas.cal to use an even faster search method.
+
+    Improved are checking in lucas.cal.  In particular both h and n must be
+    integers >= 1.  In the case of both rodseth_xhn(x, h, n) and gen_v1(h, n)
+    h must be odd.
+
+    Fixed an C code indenting issue that was reported by Thomas Walter
+    <th dot walter42 at gmx dot de> in zfunc.c.
+
+    Fixed a man page warning about ./myfile where the leading dot
+    was mistook for an nroff macro.  Thanks goes to David Haller
+    <dnh at opensuse dot org> for providing the patch.
+
+    Improved gen_v1(h,n) in lucas.cal for cases where h is not a
+    multiple of 3. Optimized the search for v(1) when h is a
+    multiple of 3.
+
+    Fixed a Makefile problem, reported by Doug Hays <doughays6 at gmail
+    dot com>, where if a macOS user set BINDIR, LIBDIR, CALC_SHAREDIR
+    or INCDIR in the top section, their values will be overwritten by
+    the Darwin specific section.
+
+
+The following are the changes from calc version 2.12.6.0 to 2.12.6.0:
+
+    Added the makefile variable ${COMMON_ADD} that will add flags
+    to all compile and link commands. The ${COMMON_ADD} flags are
+    appended to both ${COMMON_CFLAGS} and ${COMMON_LDFLAGS}.  This
+    facility is available to nearly all platforms except those with
+    very old make commands that do not understand the += operator.
+
+    Example on macOS (Darwin), one may invoke clang's -fsanitize
+    facility by:
+
+	make clobber all \
+	  COMMON_ADD='-fsanitize=undefined -fsanitize=address'
+
+    Another example.  To force C warnings to be treated as errors:
+
+	make COMMON_ADD='-Werror'
+
+    Created a GitHub repository for calc:
+
+	https://github.com/lcn2/calc
+
+    NOTE: The calc GitHub repository represents the an active
+	  development stream.  While an effort will be made to keep
+	  the master branch of the calc GitHub repository in working
+	  order, that tree may be unstable.  Those wishing for more
+	  reliable releases use releases found at calc mirror sites:
+
+	    http://www.isthe.com/chongo/tech/comp/calc/calc-mirror.html
+
+    IMPORTANT NOTE:
+
+	On 2017 June 05, the calc GitHub history was re-written.
+	Anyone who was tracking the calc "pre-release" on GitHub prior
+	to version 2.12.6.0 should do a:
+
+	    git reset --hard origin/master
+	    git cleanup -f
+
+	Or you may just want to start over:
+
+	    rm -rf calc
+	    git clone https://github.com/lcn2/calc.git
+
+	Sorry about that.  The previous GitHub repository was an useful
+	experiment.  Based on what we learned, we decided to rebuild it.
+
+    Renamed README to README.FIRST.  Added README.md for the
+    GitHub repository.
+
+    Fixed reading from standard input (stdin) when -p is given on
+    the command line.  This now prints hello:
+
+	echo hello | calc -p 'stdin = files(0); print fgetline(stdin);'
+
+    Added more debugging related to stdin when bit 4 of calc_debug
+    is set (e.g., running calc with -D16).
+
+    Updated the calc(1) man page and 'help file' to explain about
+    reading from standard input (stdin).
+
+    Added some clarifying remarks for 'help ptest' explaining that
+    the ptest builtin can return 1 is some cases where the test
+    value is a pseudoprime.
+
+    Removed duplicate copyright comments from the help/builtin that
+    is built.
+
+    Fixed a number of typos in the CHANGES file.
+
+The following are the changes from calc version 2.12.5.4 to 2.12.5.6:
 
     Recompile to match current RHEL7.2 libc and friends.
 
@@ -29,13 +395,13 @@ The following are the changes from calc version 2.12.5.4 to 2.12.5.5:
     The improved gen_v1() function is capable of returning a value
     for all valid values of h and n.  As a result, the trial tables
     used by gen_v1() have been changed to a short list of values
-    to try, in order ot likelyhood of success, before doing an
+    to try, in order ot likelihood of success, before doing an
-    enhaustive search for a v1 value to return.
+    exhaustive search for a v1 value to return.
 
     Removed lucas_tbl.cal calc resource file.  This file was made
     obsolete by the above rewrite of the lucas.cal resource file.
     This file will be removed from the local cal directory and
-    from CALC_SHAREDIR during a 'make install', 'make cobber',
+    from CALC_SHAREDIR during a 'make install', 'make clobber',
     and 'make uninstall'.
 
     Renamed gen_u0() to gen_u2() in lucas.cal.  Provided a gen_u0()
@@ -43,7 +409,7 @@ The following are the changes from calc version 2.12.5.4 to 2.12.5.5:
 
     The old gen_v1() method used by the Amdahl 6 group has been
     renamed legacy_gen_v1() in lucas.cal.  This function is no
-    longer usde by the lucas(h, n) function to test the primality of
+    longer used by the lucas(h, n) function to test the primality of
     h*2^n-1.  It is preserved in lucas.cal for historical purposes.
 
     The 'make clobber' rule will attempt to remove all files that
@@ -60,18 +426,23 @@ The following are the changes from calc version 2.12.5.4 to 2.12.5.5:
     that the BUILDROOT directory had been improperly put into various
     paths and binaries.  This has been fixed in 2.12.5.5.
 
+    Fixed a crash that showed up on macOS (Darwin) that was reported
+    by Richard Outerbridge <outer at interlog dot com> and
+    fixed by Stuart Henderson <stu at spacehopper dot org>.
+    Thanks goes to both!
+
 
 The following are the changes from calc version 2.12.5.3 to 2.12.5.3:
 
-    Calc version 2.12.5.2 for Darwin (Mac OS X) users, code to installed
+    Calc version 2.12.5.2 for macOS (Darwin) users, code to installed
     calc under /opt/calc.  Moreover the CHANGES file did not mention
     /opt/calc.  Sorry about that!.
 
-    A much better tree for Darwin (Mac OS X) users would have been
+    A much better tree for macOS (Darwin) users would have been
-    to install cal under /opt/calc.  This release ONLY changes the Darwin
+    to install cal under /opt/calc.  This release ONLY changes the
-    (Mac OS X) install tree to /usr/local.
+    macOS (Darwin) install tree to /usr/local.
 
-    Darwin (Mac OS X) users who installed calc version 2.12.5.2
+    macOS (Darwin) users who installed calc version 2.12.5.2
     should, after installing version 2.12.5.3:
 
     	rm -rf /opt/calc
@@ -79,15 +450,15 @@ The following are the changes from calc version 2.12.5.3 to 2.12.5.3:
 
 The following are the changes from calc version 2.12.5.1 to 2.12.5.2:
 
-    NOTE: calc version 2.12.5.2, for Darwin (Mac OS X) users,
+    NOTE: calc version 2.12.5.2, for macOS (Darwin) users,
     	  installed under /opt/calc.  We neglected to mention this
 	  AND /usr/local would have been a better choice.  Sorry!
 	  Fixed in calc version 2.12.5.3.
 
-    Removed rules and makefile variables assocated with shortened
+    Removed rules and makefile variables associated with shortened
     calc version numbers of less than 4 levels.
 
-    Under OS X (darwin), if /usr/include is missing, warnings
+    Under OS X (Darwin), if /usr/include is missing, warnings
     are issued to help the user use xcode-select --install
     so that one may properly compile C code.
 
@@ -114,40 +485,14 @@ The following are the changes from calc version 2.12.5.1 to 2.12.5.2:
 
 The following are the changes from calc version 2.12.5.0 to 2.12.5.1:
 
-    Calc has a new calc-tester mailing list.  This list is for those
+    There is a new calc bug report Email address:
-    who are using/testing calc.  We also use this list to announce
-    new versions of calc.  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
-
-	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.
-
-    There is a new calc bug report EMail address:
 
 	    calc-bug-report at asthe dot com
 
 	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
+	To be sure we see your Email reporting a calc bug, please use the
-	following phase in your EMail Subject line:
+	following phase in your Email Subject line:
 
 	    calc bug report
 
@@ -169,7 +514,7 @@ The following are the changes from calc version 2.12.5.0 to 2.12.5.1:
 
     Noted that the hash() builtin function, internally known as
     quickhash (used for internal objects such as the associative
-    arrays as well as other internal processes) uses the deprcated
+    arrays as well as other internal processes) uses the deprecated
     32-bit FNV-0 hash.  The use of this deprecated hash is sufficient
     for calc internal purposes.  Use of FNV-1a is recommended for
     a general non-cryptographic quick hash.
@@ -205,7 +550,7 @@ The following are the changes from calc version 2.12.4.14 to 2.12.5.0:
 
     We made important fixes to the calc command line history:
 
-	Fixed a bug in the command line history where calc would somtimes
+	Fixed a bug in the command line history where calc would sometimes
 	crash.  There was code that used memcpy() instead of memmove()
 	that could corrupt the command line history when entering a
 	into into history that was similar to a previous entry.  Thanks
@@ -215,7 +560,7 @@ The following are the changes from calc version 2.12.4.14 to 2.12.5.0:
 	The calc command line history code, in general was not robust.
 	We made use a patch from Mathias Buhr <napcode at users dot sf
 	dot net>, that while it uses a bit more memory: is much more
-	flexible, readable and robust.  This patch replaced the improer
+	flexible, readable and robust.  This patch replaced the improper
 	use of memcpy() (see above) with better code.  Thanks!
 
     The alg_config.cal calc resource file has been reworked to produce
@@ -348,26 +693,26 @@ The following are the changes from calc version 2.12.4.6 to version 2.12.4.10:
     Set MACOSX_DEPLOYMENT_TARGET=10.8 as we upgraded all of
     our development Mac OS X to 10.8.
 
-    Libraries are chmodded as 0644 to allow for building rpms
+    Libraries are chmod-ed as 0644 to allow for building rpms
     without root.
 
     Silenced annoying warning about unused variable 'intp'
-    while compiline endian.c under some circumstances.
+    while compiling endian.c under some circumstances.
 
-    Fixed typo in redeclaration warnings.  Thanks to
+    Fixed typo in re-declaration warnings.  Thanks to
     Christoph Zurnieden <czurnieden at gmx dot de> for this report.
 
     Added a number of calc resource files by
     Christoph Zurnieden <czurnieden at gmx dot de> including:
 
     bernpoly.cal - Computes the nth Bernoulli polynomial at z for any n,z
-    brentsolve.cal - root-finder implementwed with the Brent-Dekker trick
+    brentsolve.cal - root-finder implemented with the Brent-Dekker trick
     factorial.cal - product of the positive integers
-    factorial2.cal - variety of integer functions quasi-related to factoral
+    factorial2.cal - variety of integer functions quasi-related to factorial
     lambertw.cal - Computes Lambert's W-function at "z" at branch "branch"
     lnseries.cal - Calculates a series of natural logarithms at 1,2,3,4...n
     specialfunctions.cal - Calculates the value of the beta function
-    statistics.cal - a wide vareity of stastical functions
+    statistics.cal - a wide variety of statistical functions
     toomcook.cal - Multiply by way of the Toom-Cook algorithm
     zeta2.cal - Calculate the value of the Hurwitz Zeta function
 
@@ -380,7 +725,7 @@ The following are the changes from calc version 2.12.4.6 to version 2.12.4.10:
 
     We replaced COPYING-LGPL with the version that is found at
     http://www.gnu.org/licenses/lgpl-2.1.txt because that version
-    contans some whitespace formatting cleanup.  Otherwise the
+    contains some whitespace formatting cleanup.  Otherwise the
     license is the same.
 
     We fixed a number of places where "the the" was used
@@ -406,7 +751,7 @@ The following are the changes from calc version 2.12.4.3 to 2.12.4.5:
 
     Added gvec.cal resource script.
 
-    Added calc-symlink make rule to setup symlinks from stardard locations
+    Added calc-symlink make rule to setup symlinks from standard locations
     into a tree specified by a non-empty ${T} makefile variable.  Added
     calc-unsymlink to remove any symlinks that may have been created by
     the calc-symlink rule.
@@ -426,7 +771,7 @@ The following are the changes from calc version 2.12.4.0 to 2.12.4.2:
     Fixed a documentation bug for the sgn() builtin.
 
     Added the 1<<8/2 evaluation example to "help unexpected".  That
-    expression evalutes to 128, not 16 as some C programmers might expect.
+    expression evaluates to 128, not 16 as some C programmers might expect.
 
     Fixed a bug in solve.cal where high was not returned in some situations.
 
@@ -438,7 +783,7 @@ The following are the changes from calc version 2.12.4.0 to 2.12.4.2:
 
     The Makefile used in the source rpm (calc-*.src.rpm) no longer uses
     the -Werror compile flag.  This is to help those distributions with
-    compilers that make produce (hopefully) complination warnings.
+    compilers that make produce (hopefully) compilation warnings.
     NOTE: For testing and calc build purposes will recommend and will
     continue to use the -Werror flag.
 
@@ -452,7 +797,7 @@ The following are the changes from calc version 2.12.4.0 to 2.12.4.2:
 
     one may build a calc binary that is easier to debug.
 
-    Fixed a bug where an certains typos (e.g., calling an unknown
+    Fixed a bug where an certain typos (e.g., calling an unknown
     function) would previously cause calc to exit.
 
     Updated the COPYING file to reflect the new filenames associated
@@ -473,7 +818,7 @@ The following are the changes from calc version 2.12.4.0 to 2.12.4.2:
     Added dms.cal and hms.cal resource files.  The dms.cal is a more
     functional version of deg.cal.  It is a superset except that increment
     and decrement is on the arc second level.  The hms.cal is for
-    24-hour cycle instread of the 360 degree cycle of dms.cal.
+    24-hour cycle instead of the 360 degree cycle of dms.cal.
 
     Changed deg.cal object name from dms to deg so that the more functional
     dms.cal can own the dms object name.
@@ -481,7 +826,7 @@ The following are the changes from calc version 2.12.4.0 to 2.12.4.2:
     Updated 'help obj' to reflect changes to 'show objfunctions' and
     resource file example list since 1999.
 
-    Fixed problem where CALC_BYTE_ORDER refering to CALC_BIG_ENDIAN
+    Fixed problem where CALC_BYTE_ORDER referring to CALC_BIG_ENDIAN
     and CALC_LITTLE_ENDIAN instead of BIG_ENDIAN and LITTLE_ENDIAN.
 
 
@@ -493,7 +838,7 @@ The following are the changes from calc version 2.12.3.0 to 2.12.3.3:
 
     Calc versions will always be of the form x.y.z.w even when the
     MINOR_PATCH (w) is 0.  Thus, 2.12.3.0 will be printed as 2.12.3.0
-    instread of just 2.12.3.
+    instead of just 2.12.3.
 
     Added MINGW32_NT-5.0 compile target based on a patch from
     Brian L. Angus (angus at eng dot utah dot edu).
@@ -507,7 +852,7 @@ The following are the changes from calc version 2.12.3.0 to 2.12.3.3:
 
     The ${CALC_INCDIR}/custom is no longer being removed at install time
     if it is empty.  Now when ${ALLOW_CUSTOM} make variable is empty,
-    an empty ${CALC_INCDIR}/custom may be left hehind.
+    an empty ${CALC_INCDIR}/custom may be left behind.
 
     Fixed a problem where a "make clobber" would remove custom/Makefile
     and fail to rebuilt it.
@@ -577,7 +922,7 @@ The following are the changes from calc version 2.12.1.1 to 2.12.2.2:
     Fixed the wording for the -i flag in the calc man page.
 
     Added some notes to the help/unexpected file regarding calc
-    and interactice shells.
+    and interactive shells.
 
     Fixed bug where a FILEPOS was copied FPOS_POS_BITS octets instead of
     FPOS_POS_LEN octets.
@@ -601,7 +946,7 @@ The following are the changes from calc version 2.12.1.1 to 2.12.2.2:
     operate over a half closed interval.  The help/rand and help/random
     refer to  the top of the interval as "beyond" instead of "max".
 
-    Releaseing source tar balls using bzip2 instead of with gzip.  So
+    Releasing source tar balls using bzip2 instead of with gzip.  So
     what was calc-something.tar.gz is now calc-something.tar.bz2.
     To "uncompress" use:
 
@@ -740,7 +1085,7 @@ The following are the changes from calc version 2.12.1.10 to 2.12.2:
 
 	      	calc-contrib at asthe dot com
 
-	      EMail address an "ifeq ($(target),YOUR_TARGET_NAME)"
+	      Email address an "ifeq ($(target),YOUR_TARGET_NAME)"
 	      ... "endif" set of lines from the Makefile so that
 	      we can consider them for the next release.
 
@@ -873,7 +1218,7 @@ The following are the changes from calc version 2.12.1.10 to 2.12.2:
 	2.5 ^ 2.718i            3.13145i ^ 0.30103i
 
     Fixed typos in the calc man page thanks to a Debian bug report
-    by A. Costa <agcosta at gis dot .net> that wsa kindly forwarded
+    by A. Costa <agcosta at gis dot .net> that was kindly forwarded
     to us by Martin Buck <m at rtin-buck dot de>.
 
 
@@ -1494,7 +1839,7 @@ The following are the changes from calc version 2.11.10 to 2.11.10:
     and ${L64_FORMAT}.  Removed longlong.c and longlong.h.  The use
     of HAVE_LONGLONG=0 was problematic.  The lack of complaints about
     the HAVE_LONGLONG=0 shows that the 'long long' type is wide spread
-    enough warrent not trying to support compilers without 'long long'.
+    enough to warrant not trying to support compilers without 'long long'.
 
     Removed the SVAL and SHVAL macros from zrand.c, zrand.h, and zmath.h
     as they were causing too many broken C pre-processors and C checkers
@@ -1508,7 +1853,7 @@ The following are the changes from calc version 2.11.10 to 2.11.10:
     could test calc.  Best wishes to the former BSDI folk and thanks
     for breaking important ground in the Open Source Movement!
 
-    Fixed several typos found in the documentation and buildin
+    Fixed several typos found in the documentation and builtin
     function output by C Smith <smichr at hotmail dot com>.
 
     Fixed -d so that:
@@ -1880,7 +2225,7 @@ The following are the changes from calc version 2.11.5t4.1 to 2.11.5t4.4:
     version string.
 
     Added subject requirements for the calc-tester-request and
-    calc-bugs-mail EMail aliases.  See:
+    calc-bugs-mail Email aliases.  See:
 
     	http://www.isthe.com/chongo/tech/comp/calc/email.html
 
@@ -1908,7 +2253,7 @@ The following are the changes from calc version 2.11.5t4.1 to 2.11.5t4.4:
     (kawamura at mlb.co.jp) for the bug report and patch!
 
     Fixed headers on fproduct.calc powerterm.calc 4dsphere.calc so
-    that they are correcly changed on installation.
+    that they are correctly changed on installation.
 
     Added ${GREP} Makefile variable.
 
@@ -2192,7 +2537,7 @@ The following are the changes from calc version 2.11.4t1 to 2.11.4t2:
     function.  It remains for backward compatibility.
 
     The Makefile now builds have_fpos_pos.h to determine if the
-    a non-scalar FILEPOS has a __pos stucture element.  If it does,
+    a non-scalar FILEPOS has a __pos structure element.  If it does,
     the FILEPOS_BITS is taken to be the size of just the __pos element.
 
     Misc fixes related to non-scalar (e.g., structure) FILEPOS.  Fixed
@@ -2457,16 +2802,15 @@ The following are the changes from calc version 2.11.2t0 to 2.11.2t1.0:
     Fixed a bug whereby help files are not displayed correctly on
     systems such as NetBSD 1.4.1.  Thanks to a fix from Jakob Naumann.
 
-    Changed EMail addresses to use asthe.com.  Changed URLs to use
+    Changed Email addresses to use asthe.com.  Changed URLs to use
-    www.isthe.com.  NOTE: The EMail address uses 'asthe' and the web
+    www.isthe.com.  NOTE: The Email address uses 'asthe' and the web
     site URL uses 'isthe'.
 
     Using calc-bugs at asthe dot com for calc bug reports,
     calc-contrib at asthe dot com for calc contributions,
     calc-tester-request at asthe dot com for requests to join calc-tester and
-    calc-tester at asthe dot com for the calc tester mailing list.
 
-    Replaced explicit EMail addresses found this file with the <user at
+    Replaced explicit Email addresses found this file with the <user at
     site dot domain> notation to reduce the potential for those folks
     to be spammed.
 
@@ -2942,7 +3286,7 @@ The following are the changes from calc version 2.11.0t8.9.1 to 2.11.0t9.4.5:
     by Prentice-Hall (UK) Ltd., 1990.)	The piforever() function prints
     digits of pi for as long as your memory and system uptime allows.  :-)
 
-    Fixed the URLs found thruout the source and documentation which did
+    Fixed the URLs found throughout the source and documentation which did
     not and in /, but should for performance and server load reasons.
 
     Cleaned up and improved handling of "mat" and "obj".  The comma in:
@@ -3021,7 +3365,7 @@ The following are the changes from calc version 2.11.0t8.9.1 to 2.11.0t9.4.5:
     and investigated by Michel van der List <vanderlistmj at sbphrd dot com>.
 
     Made an effort to ensure that the v_subtype of VALUES are initialized
-    to V_NOSUBTYPE thruout the source code.
+    to V_NOSUBTYPE through out the source code.
 
     Established a separate calc-bugs address from the calc-tester
     mailing list.  Using anti-spam address forms in order to try and
@@ -3054,7 +3398,7 @@ The following are the changes from calc version 2.11.0t8 to 2.11.0t8.9:
     If $CALCRC has more than one file as in file1:file2 and an error
     occurs in file1, then calc -c will not read file2.
 
-    Fixed some of the old EMail addresses found in calc documentation.
+    Fixed some of the old Email addresses found in calc documentation.
 
     Added HAVE_USTAT, HAVE_GETSID, HAVE_GETPGID, HAVE_GETTIME, HAVE_GETPRID
     and HAVE_URANDOM symbols to the Makefile.  These symbols, along with
@@ -3512,7 +3856,7 @@ The following are the changes from calc version 2.11.0t1 to 2.11.0t6.3:
     A patch from Ernest Bowen <ernie at turing dot une dot edu dot au> now
     defines special meaning to the first 2 bits of config("lib_debug"):
 
-	bit 0 set => messages printed when inputisterminal
+	bit 0 set => messages printed when input is from a terminal
 	bit 1 set => messages printed when reading from a file
 
     The lib/regress.cal regression suite does:
@@ -4461,7 +4805,7 @@ The following are the changes from calc version 2.10.3t5.28 to 2.10.3t5.33:
     long Mersenne factorizations.  The default reporting loop
     is now 10000 cycles.
 
-    SGI Mips r10k compile set is speced for IRIX6.5 with v7.2
+    SGI Mips r10k compile set is specified for IRIX6.5 with v7.2
     compilers.	A note for pre-IRIX6.5 and/or pre-v7.2 compilers
     is given in the compile set.
 
@@ -4722,7 +5066,7 @@ The following are the changes from calc version 2.10.3t5.1 to 2.10.3t5.10:
     surprises that C programmers may encounter.
 
     Updated the 'help', 'intro' and 'overview' to reflect the
-    full list of non-builtin function help files.  Reorered the
+    full list of non-builtin function help files.  Reordered the
     'full' help file.
 
     The blkalloc() builtin has been renamed blk().
@@ -5673,7 +6017,7 @@ The following are the changes from calc version 2.10.2t4 to 2.10.2t24:
 
      The regression test suite output has been changed so that it will
      output the same information regardless of CPU performance.	 In
-     particular, cpu times of certain tests are not printed.  This allows
+     particular, CPU times of certain tests are not printed.  This allows
      one to compare the regression output of two different systems easier.
 
      A matrix or object declaration is now considered an expression
@@ -5996,11 +6340,11 @@ The following are the changes from calc version 2.10.2t1 to 2.10.2t3:
 	    y = fgetstr(f);	/* returns "Curt" */
 	    z = fgetstr(f);	/* returns "Noll" */
 
-    The builtin fgetfield() returns the next field of non-whitepsace
+    The builtin fgetfield() returns the next field of non-whitespace
     characters.
 
     The builtins scan(), fscan(), strscan() read tokens (fields of
-    non-whitepsace characters) and evaluates them.  Thus:
+    non-whitespace characters) and evaluates them.  Thus:
 
 	global a,b,c;
 	strscan("2+3  4^2\n c=a+b", a, b, 0);
@@ -6279,7 +6623,7 @@ The following are the changes from calc version 2.10.1t11 to 2.10.1t19:
 	config("all", "newstd")
 
     Renamed config.h (configuration file built during the make) to conf.h.
-    Added a new config.h to contain info on thw V_CONFIG type.
+    Added a new config.h to contain info on the V_CONFIG type.
 
     Fixed some ANSI C compile warnings.
 
@@ -6844,7 +7188,7 @@ The following are the changes from calc version 2.9.3t8 to 2.9.3t9.2:
     the rand() builtin does not match the additive 55 / shuffle
     generators from the old cryrand.cal file.
 
-    Added Makfile support for building BSD/386 releases.
+    Added Makefile support for building BSD/386 releases.
 
     The cmp() builtin can now compare complex values.
 
@@ -6895,10 +7239,10 @@ The following are the changes from calc version 2.9.3t8 to 2.9.3t9.2:
     which is built from have_const.c will determine if we can or should
     use const.	See the Makefile for details.
 
-    Some systems do not have uid_t.  The file have_uid_t.h, which is
+    Some systems do not have uid_t.  The file have_uid_t.h, which
-    built from have_uid_t.c will determine if we can or should depend
+    is built from have_uid_t.c will determine if we can or should
-    on uid_t being typefed by the system include files.	 See the Makefile
+    depend on uid_t being typedefed by the system include files.
-    for details.
+    See the Makefile for details.
 
     Some systems do not have memcpy(), memset() and strchr().  The
     file have_newstr.h, which is built from have_newstr.c will
@@ -7204,7 +7548,7 @@ Following is a list of visible changes to calc from version 1.24.7 to 1.26.1:
 
     A small bug in the library file regress.cal was fixed.
 
-## Copyright (C) 2001-2017  Landon Curt Noll
+## Copyright (C) 2001-2017,2021  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
@@ -7220,10 +7564,6 @@ Following is a list of visible changes to calc from version 1.24.7 to 1.26.1:
 ## received a copy with calc; if not, write to Free Software Foundation, Inc.
 ## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 ##
-## @(#) $Revision: 30.55 $
-## @(#) $Id: CHANGES,v 30.55 2017/05/21 02:22:22 chongo Exp $
-## @(#) $Source: /usr/local/src/bin/calc-RHEL7/RCS/CHANGES,v $
-##
 ## Under source code control:	1993/06/02 18:12:57
 ## File existed as early as:	1989
 ##

CONTRIB-CODE

@@ -0,0 +1,100 @@
+Calc is open source. Contributions of code are welcome.
+
+We welcome and encourage you to send us:
+
+    * calc resource files (cal/*.cal files)
+    * calc shell scripts (cscript/*.calc files)
+    * builtin functions that you have modified or written, i.e.:
+	assocfunc.c comfunc.c func.c func.h
+	listfunc.c matfunc.c qfunc.c zfunc.c
+    * custom functions that you have modified or written
+    * help files modified or written (help/*)
+    * Makefile improvements (Makefile, */Makefile)
+    * other source code modifications (*.c, *.h)
+    * etc. (* */* :) )
+
+In order to consider integrating your code, we need:
+
+    * calc version you are working with (please try use the latest version)
+    * new help files or help file patches, if applicable (documentation)
+    * proposed text for the CHANGES file (brief description of what it does)
+    * regress.cal test patch as needed
+    * your source code and/or source code changes (:-))
+
+If you add functionality to calc, please be sure to modify/patch/add
+Makefiles, help files, cal/regress.cal test code as well.
+Regression test cases are vital to maintaining calc's level
+of correctness and helps us avoid code bug regression.
+
+Please try to generate a patch against the most recent
+version of calc, and if you use GitHub, the top of the
+master branch:
+
+    https://github.com/lcn2/calc
+
+The best way contribute to calc bug is to generate calc
+GitHub pull request:
+
+    https://github.com/lcn2/calc/pulls
+
+Your code needs to be contributed under either the 2.1 of the GNU
+Lesser General Public License (LGPL 2.1) or in the public domain.
+
+If you do not want to use calc GitHub, then send Email to:
+
+    calc-contrib-mail at asthe dot com
+
+    NOTE: Remove spaces and replace 'at' with @, 'dot' with .
+
+You MUST use following SPECIAL PHRASE in your Email Subject line:
+
+    calc contribution
+
+You may add additional words to your subject line.
+
+Suggestion:
+
+    From time to time, the Email address and Subject SPECIAL PHRASE
+    may change so verify you have the current info by visiting:
+
+	http://www.isthe.com/chongo/tech/comp/calc/calc-contrib.html
+
+IMPORTANT: If your Email doesn't contain the above phrase,
+	   then we WILL NOT SEE your Email.
+
+PLEASE BE SURE you have that SPECIAL PHRASE somewhere in the subject line!
+
+Keep in mind that the best way to report on a calc bug is to use
+the above mentioned calc GitHub procedure.
+
+Please be patient as we cannot always respond to Email messages quickly.
+
+=-=
+
+See also the calc wishlist by running the calc command:
+
+    ; help wishlist
+
+=-=
+
+## Copyright (C) 1999,2014,2021  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.
+##
+## Under source code control:	1997/03/09 16:33:22
+## 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/

COPYING

@@ -6,16 +6,12 @@ This file is Copyrighted
 
     This file is covered under the following Copyright:
 
-	Copyright (C) 1999-2014  Landon Curt Noll
+	Copyright (C) 1999-2021  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
@@ -53,65 +49,6 @@ Calc is covered by the GNU Lesser General Public License
 	    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
 ------------------------------------------------------------
 

HOWTO.INSTALL

@@ -29,9 +29,19 @@ Installing calc from the bzip2-ed tarball in 4 easy steps:
 
 	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,
+	targets, the default make is sufficient.  On FreeBSD for example,
 	one must use gmake instead of make.
 
+	Some report that under macOS, one has to declare the target
+	to be darwin.  So for macOS, one might have to do:
+
+	    # for macOS users only, force the target to be darwin
+	    #
+	    make target=Darwin clobber
+	    make target=Darwin all
+	    make target=Darwin chk
+	    make target=Darwin install
+
 	If your target system does not have GNU Make (or equivalent), then
 	you should try using the Makefile.simple and custom/Makefile.simple
 	files:
@@ -110,7 +120,7 @@ Installing calc from the bzip2-ed tarball 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:
+	You may want to change these Makefile variables from their defaults:
 
 	    RANLIB
 
@@ -142,7 +152,7 @@ Installing calc from the bzip2-ed tarball in 4 easy steps:
 
 	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,
+	targets, the default make is sufficient.  On FreeBSD for example,
 	one must use gmake instead of make.
 
 	If your target system does not have GNU Make (or equivalent), then
@@ -185,10 +195,10 @@ Installing calc from the bzip2-ed tarball in 4 easy steps:
 
 	make install
 
-We suggest that you might want to read the README file and look at
+We suggest that you might want to read the README.FIRST file and look at
-the calc help subsystem.  See the README file for details.
+the calc help subsystem.  See also the README.md file.
 
-## Copyright (C) 1999-2007  Landon Curt Noll
+## Copyright (C) 1999-2007,2021  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
@@ -204,10 +214,6 @@ the calc help subsystem.  See the README file for details.
 ## 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
 ##

LIBRARY

@@ -638,10 +638,6 @@ need call libcalc_call_me_last() only once.
 ## 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
 ##

QUESTIONS

@@ -0,0 +1,54 @@
+If you have a simple general question about calc, send Email to:
+
+    calc-quest-mail at asthe dot com
+
+    NOTE: Remove spaces and replace 'at' with @, and 'dot' with .
+
+PLEASE put following the SPECIAL PHRASE somewhere in your Email Subject line:
+
+    calc question
+
+You may add additional words to your subject line.
+
+IMPORTANT: If your Email doesn't contain the above phrase,
+	   then we WILL NOT SEE your Email.
+
+PLEASE BE SURE you have that SPECIAL PHRASE somewhere in the subject line!
+
+Suggestion:
+
+    From time to time, the Email address and Subject SPECIAL PHRASE
+    may change so verify you have the current info by visiting:
+
+	http://www.isthe.com/chongo/tech/comp/calc/calc-question.html
+
+Please limit your questions to general questions about calc.  We
+cannot go into great detail in our answers, nor can we do your
+homework, nor can we do much more than answer short general questions
+about calc.
+
+Please be patient as we cannot always respond to Email messages quickly.
+
+=-=
+
+## Copyright (C) 2021  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.
+##
+## Under source code control:	2021/02/10 00:15:05
+## File existed as early as:	2021
+##
+## chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+## Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/

README.FIRST

@@ -32,30 +32,30 @@ something that you type in.
 
 For list of help topics:
 
-    > help
+    ; help
 
 For overview of calc overview:
 
-    > help intro
+    ; help intro
-    > help overview
+    ; help overview
-    > help command
+    ; help command
-    > help define
+    ; help define
-    > help statement
+    ; help statement
-    > help variable
+    ; help variable
-    > help usage
+    ; help usage
 
 For list of builtin functions:
 
-    > help builtin
+    ; help builtin
 
 C programmers should note some unexpected differences in the calc syntax:
 
-    > help unexpected
+    ; help unexpected
 
 Calc is shipped with a standard collection of calc resource files.
 For a list of calc standard resource files see:
 
-    > help resource
+    ; help resource
 
 =-=
 
@@ -71,66 +71,33 @@ or run:
 
 for a wish/todo list.  Code contributions are welcome.
 
-=-=
+-=-
 
-To subscribe to the calc-tester mailing list, visit the following URL:
+If you you notice something wrong, strange or broken, see the file:
 
-	http://www.isthe.com/chongo/tech/comp/calc/calc-tester.html
+    BUGS
 
-    This is a low volume moderated mailing list.
+or run:
 
-    This mailing list replaces calc-tester at asthe dot com list.
+    calc help bugs
 
-    If you need a human to help you with your mailing list subscription,
+for information about how to report a bug.
-    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:
+If you have a general question about calc, see the file:
 
-	calc-bug-report at asthe dot com
+    QUESTIONS
 
-	NOTE: Remove spaces and replace 'at' with @, 'dot' with .
+or run:
 
-    This replaces the old calc-bugs at asthe dot com address.
+    calc help questions
 
-    To be sure we see your EMail reporting a calc bug, please use the
+for information about how to ask a question.
-    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:
+## Copyright (C) 1999,2014,2017,2021  Landon Curt Noll
-
-    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
@@ -146,10 +113,6 @@ NOTE: The EMail address uses 'asthe', while the web site uses 'isthe'.
 ## 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
 ##

README.WINDOWS

@@ -10,6 +10,21 @@ NOTE: The main developers do not have access to a Windoz based platform.
       Of course you are welcome to send us any patches that fix your
       Windoz build environment.
 
+
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+=-= compiling with Windows Subsystem for Linux (WSL) =-Cygwin =-=
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+
+It has been reported that calc version 2.12.6.4 has been successfully
+compiled, installed and running on Windows 10 on 2018 Jan 21.
+
+We were told:
+
+  "The Windows Subsystem for Linux (WSL) is a new Windows 10 feature that
+   enables you to run native Linux command-line tools directly on Windows"
+
+   https://docs.microsoft.com/cs-cz/windows/wsl/about
+
 =-=-=-=-=-=-=-=-=-=-=-=-=-=-=
 =-= compiling with Cygwin =-=
 =-=-=-=-=-=-=-=-=-=-=-=-=-=-=
@@ -142,10 +157,6 @@ the above Makefile list, follow the recommendation in the Makefile.
 ## 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
 ##

README.md

@@ -0,0 +1,263 @@
+# What is calc?
+
+Calc is an interactive calculator which provides for easy large
+numeric calculations, but which also can be easily programmed
+for difficult or long calculations.	 It can accept a command line
+argument, in which case it executes that single command and exits.
+Otherwise, it enters interactive mode.  In this mode, it accepts
+commands one at a time, processes them, and displays the answers.
+In the simplest case, commands are simply expressions which are
+evaluated.  For example, the following line can be input:
+
+```sh
+3 * (4 + 1)
+```
+
+and the calculator will print:
+
+```sh
+15
+```
+
+Calc has the usual collection of arithmetic operators +, -, /, * as
+well as ^ (exponentiation), % (modulus) and // (integer divide).
+For example:
+
+```sh
+3 * 19^43 - 1
+```
+
+will produce:
+
+```sh
+29075426613099201338473141505176993450849249622191102976
+```
+
+Notice that calc values can be very large.  For example:
+
+```sh
+2^23209-1
+```
+
+will print:
+
+```sh
+402874115778988778181873329071 ... many digits ... 3779264511
+```
+
+The special '.' symbol (called dot), represents the result of the
+last command expression, if any.  This is of great use when a series
+of partial results are calculated, or when the output mode is changed
+and the last result needs to be redisplayed.  For example, the above
+result can be modified by typing:
+
+```sh
+. % (2^127-1)
+```
+
+and the calculator will print:
+
+```sh
+47385033654019111249345128555354223304
+```
+
+For more complex calculations, variables can be used to save the
+intermediate results.  For example, the result of adding 7 to the
+previous result can be saved by typing:
+
+```sh
+curds = 15
+whey = 7 + 2*curds
+```
+
+Functions can be used in expressions.  There are a great number of
+pre-defined functions.  For example, the following will calculate
+the factorial of the value of 'whey':
+
+```sh
+fact(whey)
+```
+
+and the calculator prints:
+
+```sh
+13763753091226345046315979581580902400000000
+```
+
+The calculator also knows about complex numbers, so that typing:
+
+```sh
+(2+3i) * (4-3i)
+cos(.)
+```
+
+will print:
+
+```sh
+17+6i
+-55.50474777265624667147+193.9265235748927986537i
+```
+
+The calculator can calculate transcendental functions, and accept and
+display numbers in real or exponential format. For example, typing:
+
+```sh
+config("display", 70),
+epsilon(1e-70),
+sin(1)
+```
+
+prints:
+
+```sh
+0.8414709848078965066525023216302989996225630607983710656727517099919104
+```
+
+Calc can output values in terms of fractions, octal or hexadecimal.
+For example:
+
+```sh
+config("mode", "fraction"),
+(17/19)^23
+print
+base(16),
+(19/17)^29
+print
+log(79.3i)
+```
+
+ will print:
+
+```sh
+19967568900859523802559065713/257829627945307727248226067259
+
+0x9201e65bdbb801eaf403f657efcf863/0x5cd2e2a01291ffd73bee6aa7dcf7d1
+
+0x17b5164ac24ee836bf/0xc7b7a8e3ef5fcf752+0x883eaf5adadd26be3/0xc7b7a8e3ef5fcf752i
+```
+
+All numbers are represented as fractions with arbitrarily large
+numerators and denominators which are always reduced to lowest terms.
+Real or exponential format numbers can be input and are converted
+to the equivalent fraction.  Hex, binary, or octal numbers can be
+input by using numbers with leading '0x', '0b' or '0' characters.
+Complex numbers can be input using a trailing 'i', as in '2+3i'.
+Strings and characters are input by using single or double quotes.
+
+Commands are statements in a C-like language, where each input
+line is treated as the body of a procedure.  Thus the command
+line can contain variable declarations, expressions, labels,
+conditional tests, and loops.  Assignments to any variable name
+will automatically define that name as a global variable.  The
+other important thing to know is that all non-assignment expressions
+which are evaluated are automatically printed.  Thus, you can evaluate
+an expression's value by simply typing it in.
+
+Many useful built-in mathematical functions are available.  Use the:
+
+```sh
+help builtin
+```
+
+command to list them.
+
+You can also define your own functions by using the 'define' keyword,
+followed by a function declaration very similar to C.
+
+```sh
+define f2(n)
+{
+	local ans;
+
+	ans = 1;
+	while (n > 1)
+		ans *= (n -= 2);
+	return ans;
+}
+```
+
+Thus the input:
+
+```sh
+f2(79)
+```
+
+will produce:
+
+```sh
+1009847364737869270905302433221592504062302663202724609375
+```
+
+Functions which only need to return a simple expression can be defined
+using an equals sign, as in the example:
+
+```sh
+define sc(a,b) = a^3 + b^3
+```
+
+Thus the input:
+
+```sh
+sc(31, 61)
+```
+
+will produce:
+
+```sh
+256772
+```
+
+Variables in functions can be defined as either 'global', 'local',
+or 'static'.  Global variables are common to all functions and the
+command line, whereas local variables are unique to each function
+level, and are destroyed when the function returns.  Static variables
+are scoped within single input files, or within functions, and are
+never destroyed.  Variables are not typed at definition time, but
+dynamically change as they are used.
+
+For more information about the calc language and features, try:
+
+```sh
+help overview
+```
+
+Calc has a help command that will produce information about
+every builtin function, command as well as a number of other
+aspects of calc usage.  Try the command:
+
+```sh
+help help
+```
+
+for and overview of the help system.  The command:
+
+```sh
+help builtin
+```
+
+provides information on built-in mathematical functions, whereas:
+
+```sh
+help asinh
+```
+
+will provides information a specific function.  The following
+help files:
+
+```sh
+help command
+help define
+help operator
+help statement
+help variable
+```
+
+provide a good overview of the calc language.  If you are familiar
+with C, you should also try:
+
+```sh
+help unexpected
+```
+
+It contains information about differences between C and calc
+that may surprise C programmers.

addop.c

@@ -19,10 +19,6 @@
  * 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
  *

align32.c

@@ -17,10 +17,6 @@
  * 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: 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
  *

alloc.h

@@ -17,10 +17,6 @@
  * 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
  *

assocfunc.c

@@ -17,10 +17,6 @@
  * 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
  *

blkcpy.c

@@ -1,7 +1,7 @@
 /*
  * blkcpy - general values and related routines used by the calculator
  *
- * Copyright (C) 1999-2007  Landon Curt Noll and Ernest Bowen
+ * Copyright (C) 1999-2007,2021  Landon Curt Noll and Ernest Bowen
  *
  * Primary author:  Landon Curt Noll
  *
@@ -19,10 +19,6 @@
  * 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
  *
@@ -1044,7 +1040,7 @@ copyblk2num(BLOCK *sblk, long ssi, long num, NUMBER *dnum, long dsi,
 	NUMBER *ret;		/* cloned and modified numerator */
 #if CALC_BYTE_ORDER == BIG_ENDIAN
 	HALF *swapped;		/* byte swapped input data */
-	unsigned long halflen;	/* length of the input ounded up to HALFs */
+	unsigned long halflen;	/* length of the input rounded up to HALFs */
 	HALF *h;		/* copy byteswap pointer */
 	unsigned long i;
 #endif

blkcpy.h

@@ -19,10 +19,6 @@
  * 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
  *

block.c

@@ -1,7 +1,7 @@
 /*
  * block - fixed, dynamic, fifo and circular memory blocks
  *
- * Copyright (C) 1999-2007  Landon Curt Noll and Ernest Bowen
+ * Copyright (C) 1999-2007,2021  Landon Curt Noll and Ernest Bowen
  *
  * Primary author:  Landon Curt Noll
  *
@@ -19,10 +19,6 @@
  * 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: block.c,v 30.1 2007/03/16 11:09:46 chongo Exp $
- * @(#) $Source: /usr/local/src/bin/calc/RCS/block.c,v $
- *
  * Under source code control:	1997/02/27 00:29:40
  * File existed as early as:	1997
  *
@@ -295,7 +291,7 @@ blkrealloc(BLOCK *blk, int newlen, int newchunk)
 	 * Set the data length
 	 *
 	 * We also know that the new block is not empty since we have
-	 * already dealth with that case above.
+	 * already dealt with that case above.
 	 *
 	 * After this section of code, limit and datalen will be
 	 * correct in terms of the new type.

block.h

@@ -1,7 +1,7 @@
 /*
  * block - fixed, dynamic, fifo and circular memory blocks
  *
- * Copyright (C) 1999-2007,2014  Landon Curt Noll and Ernest Bowen
+ * Copyright (C) 1999-2007,2014,2021  Landon Curt Noll and Ernest Bowen
  *
  * Primary author:  Landon Curt Noll
  *
@@ -19,10 +19,6 @@
  * 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: block.h,v 30.3 2014/08/24 21:56:51 chongo Exp $
- * @(#) $Source: /usr/local/src/bin/calc/RCS/block.h,v $
- *
  * Under source code control:	1997/02/21 05:03:39
  * File existed as early as:	1997
  *
@@ -59,7 +55,7 @@
  *		blkchunk defaults to BLK_CHUNKSIZE
  *
  *	blkfree(x)
- *		Reduce storage down to 0 octetes.
+ *		Reduce storage down to 0 octets.
  *
  *	size(x)
  *		The length of data stored in the block.
@@ -92,7 +88,7 @@
  *	blkmove(dest, src, length [, dest_offset [, src_offset]])
  *		0 <= length <= blksize(x)
  *		offset's are restricted in value by block type
- *		overlapping moves are handeled correctly
+ *		overlapping moves are handled correctly
  *
  *	blkccpy(dest, src, stopval, length [, dest_offset [, src_offset]])
  *		0 <= length <= blksize(x)
@@ -108,7 +104,7 @@
  *		b = a*k for some integer k >= 1
  *
  *	scatter(src, dest1, dest2 [, dest3 ] ...)
- *		copy sucessive octets from src into dest1, dest2, ...
+ *		copy successive octets from src into dest1, dest2, ...
  *		    restarting with dest1 after end of list
  *		stops at end of src
  *
@@ -188,7 +184,7 @@ EXTERN int blk_debug;	/* 0 => debug off */
 /* length of data stored in a block */
 #define blklen(blk) ((blk)->datalen)
 
-/* block footpint in memory */
+/* block footprint in memory */
 #define blksizeof(blk) ((blk)->maxsize)
 
 /* block allocation chunk size */

byteswap.c

@@ -1,7 +1,7 @@
 /*
  * byteswap - byte swapping routines
  *
- * Copyright (C) 1999  Landon Curt Noll
+ * Copyright (C) 1999,2021  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
@@ -17,10 +17,6 @@
  * 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
  *
@@ -81,7 +77,7 @@ swap_b8_in_HALFs(HALF *dest, HALF *src, LEN len)
  *		  NULL to allocate the storage
  *	src	- pointer to a ZVALUE to swap
  *	all	- TRUE => swap every element, FALSE => swap only the
- *		  multiprecision storage
+ *		  multi-precision storage
  *
  * returns:
  *	pointer to where the swapped src has been put
@@ -149,7 +145,7 @@ swap_b8_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
  *		  NULL to allocate the storage
  *	src	- pointer to a NUMBER to swap
  *	all	- TRUE => swap every element, FALSE => swap only the
- *		  multiprecision storage
+ *		  multi-precision storage
  *
  * returns:
  *	pointer to where the swapped src has been put
@@ -213,7 +209,7 @@ swap_b8_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all)
  *		  NULL to allocate the storage
  *	src	- pointer to a COMPLEX to swap
  *	all	- TRUE => swap every element, FALSE => swap only the
- *		  multiprecision storage
+ *		  multi-precision storage
  *
  * returns:
  *	pointer to where the swapped src has been put
@@ -317,7 +313,7 @@ swap_b16_in_HALFs(HALF *dest, HALF *src, LEN len)
  *		  NULL to allocate the storage
  *	src	- pointer to a ZVALUE to swap
  *	all	- TRUE => swap every element, FALSE => swap only the
- *		  multiprecision storage
+ *		  multi-precision storage
  *
  * returns:
  *	pointer to where the swapped src has been put
@@ -384,7 +380,7 @@ swap_b16_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
  *		  NULL to allocate the storage
  *	src	- pointer to a NUMBER to swap
  *	all	- TRUE => swap every element, FALSE => swap only the
- *		  multiprecision storage
+ *		  multi-precision storage
  *
  * returns:
  *	pointer to where the swapped src has been put
@@ -448,7 +444,7 @@ swap_b16_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all)
  *		  NULL to allocate the storage
  *	src	- pointer to a COMPLEX to swap
  *	all	- TRUE => swap every element, FALSE => swap only the
- *		  multiprecision storage
+ *		  multi-precision storage
  *
  * returns:
  *	pointer to where the swapped src has been put
@@ -512,7 +508,7 @@ swap_b16_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all)
  *		  NULL to allocate the storage
  *	src	- pointer to a ZVALUE to swap
  *	all	- TRUE => swap every element, FALSE => swap only the
- *		  multiprecision storage
+ *		  multi-precision storage
  *
  * returns:
  *	pointer to where the swapped src has been put
@@ -580,7 +576,7 @@ swap_HALF_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
  *		  NULL to allocate the storage
  *	src	- pointer to a NUMBER to swap
  *	all	- TRUE => swap every element, FALSE => swap only the
- *		  multiprecision storage
+ *		  multi-precision storage
  *
  * returns:
  *	pointer to where the swapped src has been put
@@ -644,7 +640,7 @@ swap_HALF_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all)
  *		  NULL to allocate the storage
  *	src	- pointer to a COMPLEX to swap
  *	all	- TRUE => swap every element, FALSE => swap only the
- *		  multiprecision storage
+ *		  multi-precision storage
  *
  * returns:
  *	pointer to where the swapped src has been put

byteswap.h

@@ -17,10 +17,6 @@
  * 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
  *

cal/Makefile

@@ -2,7 +2,7 @@
 #
 # cal - makefile for calc standard resource files
 #
-# Copyright (C) 1999-2006,2017  Landon Curt Noll
+# Copyright (C) 1999-2006,2017,2021  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
@@ -18,10 +18,6 @@
 # received a copy with calc; if not, write to Free Software Foundation, Inc.
 # 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 #
-# @(#) $Revision: 30.12 $
-# @(#) $Id: Makefile,v 30.12 2017/05/19 16:09:14 chongo Exp $
-# @(#) $Source: /usr/local/src/bin/calc-RHEL7/cal/RCS/Makefile,v $
-#
 # Under source code control:	1991/07/21 05:00:54
 # File existed as early as:	1991
 #
@@ -185,14 +181,14 @@ FMT= fmt
 
 # The calc files to install
 #
-# This list is prodiced by the detaillist rule when no WARNINGS are detected.
+# This list is produced 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.
+# detailed 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 \
@@ -240,7 +236,7 @@ all: ${CALC_FILES} ${MAKE_FILE} .all
 # 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*
+#	an non-empty else clause for every if condition.  *sigh*
 #
 ##
 
@@ -395,7 +391,7 @@ uninstall:
 		if [ -f "${T}${CALC_SHAREDIR}/$$i" ]; then \
 		   echo "cannot uninstall ${T}${CALC_SHAREDIR}/$$i"; \
 		else \
-		   echo "uninstalled ${T}${CALC_SHAREDIR}/$$i"; \
+		   echo "un-installed ${T}${CALC_SHAREDIR}/$$i"; \
 		fi; \
 	    fi; \
 	done

cal/README

@@ -38,43 +38,6 @@ Calc resource file files are provided because they serve as examples of
 how use the calc language, and/or because the authors thought them to
 be useful!
 
-If you write something that you think is useful, please join the
-low volume calc mailing list calc-tester.  Then send your contribution
-to the calc-tester mailing list.
-
-To subscribe to the calc-tester mailing list, visit the following URL:
-
-	https://www.listbox.com/subscribe/?list_id=239342
-
-    To help determine you are a human and not just a spam bot,
-    you will be required to provide the following additional info:
-
-	Your Name
-	Calc Version
-	Operating System
-	The date 7 days ago
-
-    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.
-
 =-=
 
 By convention, a resource file only defines and/or initializes functions,
@@ -250,12 +213,12 @@ brentsolve.cal
 
     brentsolve(low, high,eps)
 
-    A root-finder implementwed with the Brent-Dekker trick.
+    A root-finder implemented with the Brent-Dekker trick.
 
     brentsolve2(low, high,which,eps)
 
     The second function, brentsolve2(low, high,which,eps) has some lines
-    added to make it easier to hardcode the name of the helper function
+    added to make it easier to hard-code the name of the helper function
     different from the obligatory "f".
 
     See:
@@ -429,7 +392,7 @@ factorial2.cal
 
     bigcatalan(n)
 
-    Calculates the n-th Catalan number for n large. It is usefull
+    Calculates the n-th Catalan number for n large. It is useful
     above n~50,000 but defaults to the builtin function for smaller
     values.Meant as a complete replacement for catalan(n) with only a
     very small overhead.  See:
@@ -470,9 +433,9 @@ factorial2.cal
                       k = 0
 
     The other function stirling2caching(n,m) does it by way of the
-    reccurence relation and keeps all earlier results. This function
+    re-occurrence relation and keeps all earlier results. This function
     is much slower for computing a single value than stirling2(n,m) but
-    is very usefull if many Stirling numbers are needed, for example in
+    is very useful if many Stirling numbers are needed, for example in
     a series.  See:
 
         http://en.wikipedia.org/wiki/Stirling_numbers_of_the_second_kind
@@ -583,7 +546,7 @@ infinities.cal
     pinf()
 
     The symbolic handling of infinities. Needed for intnum.cal but might be
-    usefull elsewhere, too.
+    useful elsewhere, too.
 
 
 intfile.cal
@@ -632,13 +595,13 @@ intnum.cal
     This file offers some methods for numerical integration. Implemented are
     the Gauss-Legendre and the tanh-sinh quadrature.
 
-    All functions are usefull to some extend but the main function for
+    All functions are useful to some extend but the main function for
     quadrature is quad(), which is not much more than an abstraction layer.
 
-    The main workers are quadgl() for Gauss-legendre and quadts() for the
+    The main workers are quadgl() for Gauss-Legendre and quadts() for the
     tanh-sinh quadrature. The limits of the integral can be anything in the
     complex plane and the extended real line. The latter means that infinite
-    limits are supported by way of the smbolic infinities implemented in the
+    limits are supported by way of the symbolic infinities implemented in the
     file infinities.cal (automatically linked in by intnum.cal).
 
     Integration in parts and contour is supported by the "points" argument
@@ -698,7 +661,7 @@ intnum.cal
 
     The quad*core functions do not offer anything fancy but the third parameter
     controls the so called "order" which is just the number of nodes computed.
-    This can be quite usefull in some circumstances.
+    This can be quite useful in some circumstances.
 
         ; quadgldeletenodes()
         ; define f(x){ return exp(x);}
@@ -760,7 +723,7 @@ lambertw.cal
      ProductLog[branch,z] with the tested values.
 
      The series is only valid for the branches 0,-1, real z, converges
-     for values of z _very_ near the branchpoint -exp(-1) only, and must
+     for values of z _very_ near the branch-point -exp(-1) only, and must
      be given the branches explicitly.  See the code in lambertw.cal
      for further information.
 
@@ -783,7 +746,7 @@ lnseries.cal
     does so by computing the prime factorization of all of the number
     sequence 1,2,3...n, calculates the natural logarithms of the primes
     in 1,2,3...n and uses the above factorization to build the natural
-    logarithms of the rest of the sequence by sadding the logarithms of
+    logarithms of the rest of the sequence by adding the logarithms of
     the primes in the factorization.  This is faster for high precision
     of the logarithms and/or long sequences.
 
@@ -843,7 +806,7 @@ mfactor.cal
     at 2*start_k*n+1.  Skips values that are multiples of primes <= p_elim.
     By default, start_k == 1, rept_loop = 10000 and p_elim = 17.
 
-    The p_elim == 17 overhead takes ~3 minutes on an 200 Mhz r4k CPU and
+    The p_elim == 17 overhead takes ~3 minutes on an 200 MHz r4k CPU and
     requires about ~13 Megs of memory.	The p_elim == 13 overhead
     takes about 3 seconds and requires ~1.5 Megs of memory.
 
@@ -1354,7 +1317,7 @@ specialfunctions.cal
 	http://en.wikipedia.org/wiki/Polygamma
         http://dlmf.nist.gov/5
 
-    for information on the n-th derivative ofthe Euler gamma function. This
+    for information on the n-th derivative of the Euler gamma function. This
     function depends on the script zeta2.cal.
 
 
@@ -1371,7 +1334,7 @@ specialfunctions.cal
 
     zeta(s)
 
-    Calculates the value of the Rieman Zeta function at s.  See:
+    Calculates the value of the Riemann Zeta function at s.  See:
 
 	http://en.wikipedia.org/wiki/Riemann_zeta_function
         http://dlmf.nist.gov/25.2
@@ -1390,7 +1353,7 @@ statistics.cal
     invbetainc(x,a,b)
 
     Computes the inverse of the regularized beta function. Does so the
-    brute-force way wich makes it a bit slower.
+    brute-force way which makes it a bit slower.
 
     betapdf(x,a,b)
     betacdf(x,a,b)
@@ -1470,7 +1433,7 @@ sumtimes.cal
     Give the user CPU time for various ways of evaluating sums, sums of
     squares, etc, for large lists and matrices.  N is the size of
     the list or matrix to use.  The doalltimes() function will run
-    all fo the sumtimes tests.  For example:
+    all of the sumtimes tests.  For example:
 
     	doalltimes(1e6);
 
@@ -1816,7 +1779,7 @@ zeta2.cal
     for information on this special zeta function.
 
 
-## Copyright (C) 2000,2014,2017  David I. Bell and Landon Curt Noll
+## Copyright (C) 2000,2014,2017,2021  David I. Bell and Landon Curt Noll
 ##
 ## Primary author: Landon Curt Noll
 ##
@@ -1834,10 +1797,6 @@ zeta2.cal
 ## received a copy with calc; if not, write to Free Software Foundation, Inc.
 ## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 ##
-## @(#) $Revision: 30.10 $
-## @(#) $Id: README,v 30.10 2017/05/19 16:09:14 chongo Exp $
-## @(#) $Source: /usr/local/src/bin/calc-RHEL7/cal/RCS/README,v $
-##
 ## Under source code control:	1990/02/15 01:50:32
 ## File existed as early as:	before 1990
 ##

cal/alg_config.cal

@@ -1,7 +1,7 @@
 /*
  * alg_config - help determine optimal values for algorithm levels
  *
- * Copyright (C) 2006,2014  Landon Curt Noll
+ * Copyright (C) 2006,2014,2021  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
@@ -17,10 +17,6 @@
  * received a copy with calc; if not, write to Free Software Foundation, Inc.
  * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
- * @(#) $Revision: 30.12 $
- * @(#) $Id: alg_config.cal,v 30.12 2016/02/06 08:38:56 chongo Exp $
- * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/alg_config.cal,v $
- *
  * Under source code control:	2006/06/07 14:10:11
  * File existed as early as:	2006
  *
@@ -37,7 +33,7 @@ static test_time;	/* try for this many seconds in loop test */
  * given:
  *	ratio	the ratio of time between two algorithms
  *
- * retuns:
+ * returns:
  *	1	When ratio is near 1.0
  *	0	otherwise
  *
@@ -358,7 +354,7 @@ define best_mul2()
     local high;		/* high loop value tested */
     local mid;		/* between low and high */
     local best_val;	/* value found with ratio closest to unity */
-    local best_ratio;	/* cloest ratio found to unity */
+    local best_ratio;	/* closest ratio found to unity */
     local expand;	/* how fast to expand the length */
 
     /*
@@ -367,7 +363,7 @@ define best_mul2()
     printf("WARNING: This tool may not be computing the correct best value\n");
     test_time = 5.0;
     printf("The best_mul2() function will take a LONG time to run!\n");
-    printf("It is important that best_mul2() run on an othwewise idle host!\n");
+    printf("It is important that best_mul2() run on an otherwise idle host!\n");
     if (config("user_debug") <= 0) {
 	printf("To monitor progress, set user_debug to 2: "
 	       "config(\"user_debug\", 2)\n");
@@ -396,7 +392,7 @@ define best_mul2()
      */
     do {
 	/*
-	 * determine the paramters of the next ratio test
+	 * determine the parameters of the next ratio test
 	 *
 	 * We will multiplicatively expand our test level until
 	 * the ratio drops below 1.0.
@@ -423,7 +419,7 @@ define best_mul2()
 	    best_val = high;
 	    best_ratio = ratio;
 	    if (config("user_debug") > 1) {
-		printf("    len %d has a new cloest ratio to unity: %.6f\n",
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
 		       best_val, best_ratio);
 	    }
 	}
@@ -446,7 +442,7 @@ define best_mul2()
 	    high /= 2;
 	    low = high / 2;
 	    if (config("user_debug") > 0) {
-		printf("retesting multiply alg1/alg2 ratio for len = %d\n",
+		printf("re-testing multiply alg1/alg2 ratio for len = %d\n",
 		       high);
 	    }
 	    ratio = mul_ratio(high);
@@ -454,7 +450,8 @@ define best_mul2()
 		best_val = high;
 		best_ratio = ratio;
 		if (config("user_debug") > 1) {
-		    printf("    len %d has a new cloest ratio to unity: %.6f\n",
+		    printf("    len %d has a new closest ratio "
+			   "to unity: %.6f\n",
 			   best_val, best_ratio);
 		}
 	    }
@@ -487,7 +484,7 @@ define best_mul2()
 	    best_val = mid;
 	    best_ratio = ratio;
 	    if (config("user_debug") > 1) {
-		printf("    len %d has a new cloest ratio to unity: %.6f\n",
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
 		       best_val, best_ratio);
 	    }
 	}
@@ -539,7 +536,7 @@ define best_mul2()
 	printf("config(\"mul2\", %d),;\n", best_val);
 	printf("WARNING: It is believed that the output "
 	       "of this resource file is bogus!\n");
-	printf("WARNING: You may NOT wish to follow the above suggeston.\n");
+	printf("WARNING: You may NOT wish to follow the above suggestion.\n");
     }
     return mid;
 }
@@ -839,7 +836,7 @@ define best_sq2()
     local high;		/* high loop value tested */
     local mid;		/* between low and high */
     local best_val;	/* value found with ratio closest to unity */
-    local best_ratio;	/* cloest ratio found to unity */
+    local best_ratio;	/* closest ratio found to unity */
     local expand;	/* how fast to expand the length */
 
     /*
@@ -848,7 +845,7 @@ define best_sq2()
     printf("WARNING: This tool may not be computing the correct best value\n");
     test_time = 5.0;
     printf("The best_sq2() function will take a LONG time to run!\n");
-    printf("It is important that best_sq2() run on an othwewise idle host!\n");
+    printf("It is important that best_sq2() run on an otherwise idle host!\n");
     if (config("user_debug") <= 0) {
 	printf("To monitor progress, set user_debug to 2: "
 	       "config(\"user_debug\", 2)\n");
@@ -877,7 +874,7 @@ define best_sq2()
      */
     do {
 	/*
-	 * determine the paramters of the next ratio test
+	 * determine the parameters of the next ratio test
 	 *
 	 * We will multiplicatively expand our test level until
 	 * the ratio drops below 1.0.
@@ -904,7 +901,7 @@ define best_sq2()
 	    best_val = high;
 	    best_ratio = ratio;
 	    if (config("user_debug") > 1) {
-		printf("    len %d has a new cloest ratio to unity: %.6f\n",
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
 		       best_val, best_ratio);
 	    }
 	}
@@ -927,7 +924,7 @@ define best_sq2()
 	    high /= 2;
 	    low = high / 2;
 	    if (config("user_debug") > 0) {
-		printf("retesting multiply alg1/alg2 ratio for len = %d\n",
+		printf("re-testing multiply alg1/alg2 ratio for len = %d\n",
 		       high);
 	    }
 	    ratio = mul_ratio(high);
@@ -935,7 +932,8 @@ define best_sq2()
 		best_val = high;
 		best_ratio = ratio;
 		if (config("user_debug") > 1) {
-		    printf("    len %d has a new cloest ratio to unity: %.6f\n",
+		    printf("    len %d has a new closest ratio "
+			   "to unity: %.6f\n",
 			   best_val, best_ratio);
 		}
 	    }
@@ -968,7 +966,7 @@ define best_sq2()
 	    best_val = mid;
 	    best_ratio = ratio;
 	    if (config("user_debug") > 1) {
-		printf("    len %d has a new cloest ratio to unity: %.6f\n",
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
 		       best_val, best_ratio);
 	    }
 	}
@@ -1021,7 +1019,7 @@ define best_sq2()
 	printf("config(\"sq2\", %d),;\n", best_val);
 	printf("WARNING: It is believed that the output "
 	       "of this resource file is bogus!\n");
-	printf("WARNING: You may NOT wish to follow the above suggeston.\n");
+	printf("WARNING: You may NOT wish to follow the above suggestion.\n");
     }
     return mid;
 }
@@ -1341,7 +1339,7 @@ define best_pow2()
     local high;		/* high loop value tested */
     local mid;		/* between low and high */
     local best_val;	/* value found with ratio closest to unity */
-    local best_ratio;	/* cloest ratio found to unity */
+    local best_ratio;	/* closest ratio found to unity */
     local expand;	/* how fast to expand the length */
     local looped;	/* 1 ==> we have expanded lengths before */
 
@@ -1351,7 +1349,7 @@ define best_pow2()
     printf("WARNING: This tool may not be computing the correct best value\n");
     test_time = 60.0;
     printf("The best_pow2() function will take a LONG time to run!\n");
-    printf("It is important that best_pow2() run on an othwewise idle host!\n");
+    printf("It is important that best_pow2() run on an otherwise idle host!\n");
     if (config("user_debug") <= 0) {
 	printf("To monitor progress, set user_debug to 2: "
 	       "config(\"user_debug\", 2)\n");
@@ -1362,7 +1360,7 @@ define best_pow2()
      * firewall - must have a >1.02 ratio for the initial length
      *
      * We select 1.02 because of the precision of the CPU timing.  We
-     * want to firt move into an area where the 1st algoritm clearly
+     * want to first move into an area where the 1st algorithm clearly
      * dominates.
      */
     low = 4;
@@ -1379,7 +1377,7 @@ define best_pow2()
 	    best_val = high;
 	    best_ratio = ratio;
 	    if (config("user_debug") > 1) {
-		printf("    len %d has a new cloest ratio to unity: %.6f\n",
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
 		       best_val, best_ratio);
 	    }
 	}
@@ -1401,7 +1399,7 @@ define best_pow2()
     looped = 0;
     do {
 	/*
-	 * determine the paramters of the next ratio test
+	 * determine the parameters of the next ratio test
 	 *
 	 * We will multiplicatively expand our test level until
 	 * the ratio drops below 1.0.
@@ -1439,7 +1437,7 @@ define best_pow2()
 	    best_val = high;
 	    best_ratio = ratio;
 	    if (config("user_debug") > 1) {
-		printf("    len %d has a new cloest ratio to unity: %.6f\n",
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
 		       best_val, best_ratio);
 	    }
 	}
@@ -1467,7 +1465,7 @@ define best_pow2()
 	    best_val = mid;
 	    best_ratio = ratio;
 	    if (config("user_debug") > 1) {
-		printf("    len %d has a new cloest ratio to unity: %.6f\n",
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
 		       best_val, best_ratio);
 	    }
 	}
@@ -1520,7 +1518,7 @@ define best_pow2()
 	printf("config(\"pow2\", %d),;\n", best_val);
 	printf("WARNING: It is believed that the output "
 	       "of this resource file is bogus!\n");
-	printf("WARNING: You may NOT wish to follow the above suggeston.\n");
+	printf("WARNING: You may NOT wish to follow the above suggestion.\n");
     }
     return mid;
 }

cal/beer.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/bernoulli.cal

@@ -1,7 +1,7 @@
 /*
- * bernoulli - clculate the Nth Bernoulli number B(n)
+ * bernoulli - calculate the Nth Bernoulli number B(n)
  *
- * Copyright (C) 2000  David I. Bell and Landon Curt Noll
+ * Copyright (C) 2000,2021  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
@@ -17,10 +17,6 @@
  * 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
  *
@@ -30,9 +26,9 @@
 /*
  * Calculate the Nth Bernoulli number B(n).
  *
- * NOTE: This is now a bulitin function.
+ * NOTE: This is now a builtin function.
  *
- * The non-buildin code used the following symbolic formula to calculate B(n):
+ * The non-builtin code used the following symbolic formula to calculate B(n):
  *
  *	(b+1)^(n+1) - b^(n+1) = 0
  *
@@ -46,7 +42,7 @@
  *	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.
+ * calculated interactively, 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.
  */

cal/bernpoly.cal

@@ -1,7 +1,7 @@
 /*
- * bernpoly - Bernoully polynomials B_n(z) for arbitrary n,z..
+ * bernpoly - Bernoulli polynomials B_n(z) for arbitrary n,z..
  *
- * Copyright (C) 2013 Christoph Zurnieden
+ * Copyright (C) 2013,2021 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
@@ -17,10 +17,6 @@
  * 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
  */

cal/bigprime.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/bindings

@@ -16,10 +16,6 @@
 # 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
 #

cal/brentsolve.cal

@@ -1,7 +1,7 @@
 /*
  * brentsolve - Root finding with the Brent-Dekker trick
  *
- * Copyright (C) 2013 Christoph Zurnieden
+ * Copyright (C) 2013,2021 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
@@ -17,10 +17,6 @@
  * 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
  */
@@ -147,7 +143,7 @@ define brentsolve2(low, high,which,eps){
 
   switch(param(0)){
     case 0:
-    case 1: return newerror("brentsolve2: not enough argments");
+    case 1: return newerror("brentsolve2: not enough arguments");
     case 2: eps = epsilon(epsilon()*1e-2);
             which = 0;break;
     case 3: eps = epsilon(epsilon()*1e-2);break;

cal/chi.cal

@@ -1,7 +1,7 @@
 /*
  * chi - chi^2 probabilities with degrees of freedom for null hypothesis
  *
- * Copyright (C) 2001  Landon Curt Noll
+ * Copyright (C) 2001,2021  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
@@ -17,10 +17,6 @@
  * 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
  *
@@ -55,7 +51,7 @@ define Z(x, eps_term)
 
 
 /*
- * P(x[, eps]) asymtotic P(x) expansion for x>0 to an given epsilon error term
+ * P(x[, eps]) asymptotic P(x) expansion for x>0 to an given epsilon error term
  *
  * NOTE: If eps is omitted, the stored epsilon value is used.
  *
@@ -103,7 +99,7 @@ define P(x, eps_term)
     }
 
     /*
-     * aproximate sum(n=0; n < infinity){x^(2*n+1)/(1*3*5*...(2*n+1)}
+     * approximate sum(n=0; n < infinity){x^(2*n+1)/(1*3*5*...(2*n+1)}
      */
     x2 = x*x;
     x_term = x;
@@ -134,7 +130,7 @@ define P(x, eps_term)
  *
  *    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).
+ *    a sufficiently small error term as the degrees 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
@@ -190,7 +186,7 @@ define chi_prob(chi_sq, v, eps_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 d;		/* denominator (2*4*6*... or 1*3*5...) */
     local chi_term;	/* chi_sq^r */
     local ret;		/* return value */
 

cal/chrem.cal

@@ -1,7 +1,7 @@
 /*
- * chrem - chinese remainder theorem/problem solver
+ * chrem - Chinese remainder theorem/problem solver
  *
- * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
+ * Copyright (C) 1999,2021  Ernest Bowen and Landon Curt Noll
  *
  * Primary author:  Ernest Bowen
  *
@@ -19,10 +19,6 @@
  * 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
  *
@@ -30,7 +26,7 @@
  */
 
 /*
- * When possible, chrem finds solutions for x of a set of congruences
+ * When possible, chrem finds solutions for x of a set of congruence
  * of the form:
  *
  *			x = r1 (mod m1)
@@ -39,7 +35,7 @@
  *
  * where the residues r1, r2, ... and the moduli m1, m2, ... are
  * given integers.  The Chinese remainder theorem states that if
- * m1, m2, ... are relatively prime in pairs, the above congruences
+ * m1, m2, ... are relatively prime in pairs, the above congruence
  * have a unique solution modulo  m1 * m2 * ...	  If m1, m2, ...
  * are not relatively prime in pairs, it is possible that no solution
  * exists.  If solutions exist, the general solution is expressible as:

cal/constants.cal

@@ -17,10 +17,6 @@
  * 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
  */

cal/deg.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/dms.cal

@@ -1,7 +1,7 @@
 /*
  * dms - calculate in degrees, minutes, and seconds (based on deg)
  *
- * Copyright (C) 1999,2010  David I. Bell and Landon Curt Noll
+ * Copyright (C) 1999,2010,2021  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
@@ -17,10 +17,6 @@
  * 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
  *
@@ -57,7 +53,7 @@ define dms_add(a, b)
 {
     local obj dms ans;		/* return value */
 
-    /* initalize value to 1st arg */
+    /* initialize value to 1st arg */
     if (istype(a, ans)) {
 	/* 1st arg is dms object, load it */
 	ans.deg = a.deg;
@@ -114,7 +110,7 @@ define dms_sub(a, b)
 {
     local obj dms ans;		/* return value */
 
-    /* initalize value to 1st arg */
+    /* initialize value to 1st arg */
     if (istype(a, ans)) {
 	/* 1st arg is dms object, load it */
 	ans.deg = a.deg;
@@ -356,11 +352,11 @@ define fixdms(a)
 	quit "attempt to fix a non dms object";
     }
 
-    /* force minutes to be intergral */
+    /* force minutes to be integral */
     a.min += frac(a.deg) * 60;
     a.deg = int(a.deg);
 
-    /* force degrees to be intergral */
+    /* force degrees to be integral */
     a.sec += frac(a.min) * 60;
     a.min = int(a.min);
 

cal/dotest.cal

@@ -8,18 +8,14 @@
  * copyright this dotest_code.
  *
  * ERNEST BOWEN AND LANDON CURT NOLL DISCLAIMS ALL WARRANTIES WITH REGARD TO
- * THIS	 SOFTWARE,  INCLUDING  ALL IMPLIED WARRANTIES OF MER-
+ * THIS         SOFTWARE,  INCLUDING  ALL IMPLIED WARRANTIES OF MER-
- * CHANTABILITY AND FITNESS.  IN NO EVENT SHALL	 LANDON	 CURT
+ * 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
@@ -177,7 +173,7 @@ define dotest(dotest_file, dotest_code = 0, dotest_maxcond = -1)
     }
 
     /*
-     * preppare to return to the caller environment
+     * prepare 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

cal/ellip.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/factorial.cal

@@ -17,10 +17,6 @@
  * 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
  */

cal/factorial2.cal

@@ -1,7 +1,7 @@
 /*
  * factorial2 - implementation of different factorial related functions
  *
- * Copyright (C) 2013 Christoph Zurnieden
+ * Copyright (C) 2013,2021 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
@@ -17,10 +17,6 @@
  * 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
  */
@@ -285,10 +281,10 @@ define __CZ__multiply_factored_factorial(matrix,stop){
 }
 
 /*
-    Compute binomial coeficients n!/(k!(n-k)!)
+    Compute binomial coefficients 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
+    is actually the (asymptotically) 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.
 */
@@ -630,7 +626,7 @@ define subfactorialrecursive(n){
   return n * subfactorialrecursive(n-1) + (-1)^n;
 }
 
-/* This is, quite amusingely, faster than the very same algorithm in
+/* This is, quite amusingly, faster than the very same algorithm in
    PARI/GP + GMP*/
 define subfactorialiterative(n){
   local k temp1 temp2 ret;

cal/gvec.cal

@@ -8,10 +8,6 @@
  * 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
  *

cal/hello.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/hms.cal

@@ -1,7 +1,7 @@
 /*
  * hms - calculate in hours, minutes, and seconds
  *
- * Copyright (C) 2010  Landon Curt Noll
+ * Copyright (C) 2010,2021  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
@@ -17,10 +17,6 @@
  * 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
  *
@@ -57,7 +53,7 @@ define hms_add(a, b)
 {
     local obj hms ans;		/* return value */
 
-    /* initalize value to 1st arg */
+    /* initialize value to 1st arg */
     if (istype(a, ans)) {
 	/* 1st arg is hms object, load it */
 	ans.hour = a.hour;
@@ -114,7 +110,7 @@ define hms_sub(a, b)
 {
     local obj hms ans;		/* return value */
 
-    /* initalize value to 1st arg */
+    /* initialize value to 1st arg */
     if (istype(a, ans)) {
 	/* 1st arg is hms object, load it */
 	ans.hour = a.hour;
@@ -356,11 +352,11 @@ define fixhms(a)
 	quit "attempt to fix a non hms object";
     }
 
-    /* force minutes to be intergral */
+    /* force minutes to be integral */
     a.min += frac(a.hour) * 60;
     a.hour = int(a.hour);
 
-    /* force hours to be intergral */
+    /* force hours to be integral */
     a.sec += frac(a.min) * 60;
     a.min = int(a.min);
 

cal/intfile.cal

@@ -1,7 +1,7 @@
 /*
  * intfile - integer to file and file to integer conversion
  *
- * Copyright (C) 2001  Landon Curt Noll
+ * Copyright (C) 2001,2021  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
@@ -17,10 +17,6 @@
  * 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
  *
@@ -31,20 +27,20 @@
 
 /*
  * NOTE: Because leading HALF values are trimmed from integer, a file
- *	 that begins with lots of 0 bits (in the case of big endian)
+ *	 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)
+ *	 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
+ * file2be - convert a file into an big Endian integer
  *
  * given:
  *	filename	filename to read
  *
  * returns:
- *	integer read from its contents on big endian order
+ *	integer read from its contents on big Endian order
  */
 define file2be(filename)
 {
@@ -79,13 +75,13 @@ define file2be(filename)
 
 
 /*
- * file2le - convert a file into an little endian integer
+ * file2le - convert a file into an little Endian integer
  *
  * given:
  *	filename	filename to read
  *
  * returns:
- *	integer read from its contents on little endian order
+ *	integer read from its contents on little Endian order
  */
 define file2le(filename)
 {
@@ -122,7 +118,7 @@ define file2le(filename)
 
 
 /*
- * be2file - convert a big endian integer into a file
+ * be2file - convert a big Endian integer into a file
  *
  * given:
  *	v		integer to write to the file
@@ -172,7 +168,7 @@ define be2file(v, filename)
 
 
 /*
- * le2file - convert a little endian integer into a file
+ * le2file - convert a little Endian integer into a file
  *
  * given:
  *	v		integer to write to the file

cal/intnum.cal

@@ -1,7 +1,7 @@
 /*
  * intnum - implementation of tanhsinh- and Gauss-Legendre quadrature
  *
- * Copyright (C) 2013 Christoph Zurnieden
+ * Copyright (C) 2013,2021 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
@@ -295,7 +295,7 @@ define quadts(a, b, points)
                  * 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.
+                 * high school.
 		 * Other contours by way of a list of points */
 		slope = (im(b) - im(a)) / (re(b) - re(a));
 		C = (im(a) + slope) * re(a);

cal/lambertw.cal

@@ -1,7 +1,7 @@
 /*
  * lambertw - Lambert's W-function
  *
- * Copyright (C) 2013 Christoph Zurnieden
+ * Copyright (C) 2013,2021 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
@@ -17,10 +17,6 @@
  * 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
  */
@@ -87,7 +83,7 @@ define __CZ__lambertw_m1(z,eps){
   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).
+  converge in anybodies lifetime for something that far from the branch point).
 
 
 */
@@ -109,7 +105,7 @@ define lambertw_series_print(){
 }
 
 /*
-   The series is fast but only if _very_ close to the branchpoint
+   The series is fast but only if _very_ close to the branch point
    The exact branch must be given explicitly, e.g.:
 
 ; lambertw(-exp(-1)+.001)-lambertw_series(-exp(-1)+.001,epsilon()*1e-10,0)

cal/linear.cal

@@ -1,7 +1,7 @@
 /*
  * linear - perform a simple two point 2D linear interpolation
  *
- * Copyright (C) 2005-2007  Landon Curt Noll
+ * Copyright (C) 2005-2007,2021  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
@@ -17,10 +17,6 @@
  * 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
  *
@@ -33,7 +29,7 @@
  *
  * given:
  *	x0, y0		first known point on the line
- *	x1, y1		second knonw point on the line
+ *	x1, y1		second known point on the line
  *	x		a given point to interpolate on
  *
  * returns:

cal/lnseries.cal

@@ -17,10 +17,6 @@
  * 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
  */

cal/lucas.cal

@@ -1,7 +1,7 @@
 /*
  * lucas - perform a Lucas primality test on h*2^n-1
  *
- * Copyright (C) 1999,2017  Landon Curt Noll
+ * Copyright (C) 1999,2017,2018,2021  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
@@ -17,10 +17,6 @@
  * 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: lucas.cal,v 30.4 2017/05/20 21:54:16 chongo Exp $
- * @(#) $Source: /usr/local/src/bin/calc-RHEL7/cal/RCS/lucas.cal,v $
- *
  * Under source code control:	1990/05/03 16:49:51
  * File existed as early as:	1990
  *
@@ -32,6 +28,10 @@
  * For a general tutorial on how to find a new largest known prime, see:
  *
  *	http://www.isthe.com/chongo/tech/math/prime/prime-tutorial.pdf
+ *
+ * Also see the reference code, available both C and go:
+ *
+ *	https://github.com/arcetri/goprime
  */
 
 /*
@@ -158,6 +158,12 @@
  *
  * Finally, one should eliminate all values of 'h*2^n-1' where
  * 'h*2^n+1' is divisible by a small primes.
+ *
+ * NOTE: Today, for world record sized h*2^n-1 primes, one might
+ *	 search for factors < 2^46 or more.  By excluding h*2^n-1
+ *	 with prime factors < 2^46, where h*2^n-1 is a bit larger
+ *	 than the largest known prime, one may exclude about 96.5%
+ *	 of candidates that have "small" prime factors.
  */
 
 pprod256 = 0;	/* product of  "primes up to 256" / "primes up to 46" */
@@ -175,6 +181,11 @@ pprod256 = 0;	/* product of  "primes up to 256" / "primes up to 46" */
  *	"Lucasian Criteria for the Primality of N=h*2^n-1", by Hans Riesel,
  *	Mathematics of Computation, Vol 23 #108, pp. 869-875, Oct 1969
  *
+ *	http://www.ams.org/journals/mcom/1969-23-108/S0025-5718-1969-0262163-1/
+ *			   S0025-5718-1969-0262163-1.pdf
+ *
+ *	NOTE: Join the above two lines for the complete URL of the paper.
+ *
  * The following book is also useful:
  *
  * Ref2:
@@ -242,8 +253,8 @@ pprod256 = 0;	/* product of  "primes up to 256" / "primes up to 46" */
  * do make this so.
  *
  * input:
- *	h    the h as in h*2^n-1
+ *	h    h as in h*2^n-1 (must be >= 1)
- *	n    the n as in h*2^n-1
+ *	n    n as in h*2^n-1 (must be >= 1)
  *
  * returns:
  *	1 => h*2^n-1 is prime
@@ -266,13 +277,17 @@ lucas(h, n)
 	 * check arg types
 	 */
 	if (!isint(h)) {
-		ldebug("lucas", "h is non-int");
 		quit "FATAL: bad args: h must be an integer";
 	}
+	if (h < 1) {
+		quit "FATAL: bad args: h must be an integer >= 1";
+	}
 	if (!isint(n)) {
-		ldebug("lucas", "n is non-int");
 		quit "FATAL: bad args: n must be an integer";
 	}
+	if (n < 1) {
+		quit "FATAL: bad args: n must be an integer >= 1";
+	}
 
 	/*
 	 * reduce h if even
@@ -358,41 +373,53 @@ lucas(h, n)
 		return 1;		/* 239 is prime */
 	}
 
+	/*
+	 * Verify that h*2^n-1 is not a multiple of 3
+	 *
+	 * The case for h*2^n-1 == 3 is handled above.
+	 */
+	if (((h % 3 == 1) && (n % 2 == 0)) || ((h % 3 == 2) && (n % 2 == 1))) {
+		/* no need to test h*2^n-1, it is a multiple of 3 */
+		ldebug("lucas","not-prime: != 3 and is a multiple of 3");
+		return 0;
+	}
+
 	/*
 	 * Avoid any numbers divisible by small primes
 	 */
 	/*
-	 * check for 3 <= prime factors < 29
+	 * check for 5 <= prime factors < 31
-	 * pfact(28)/2 = 111546435
+	 * pfact(30)/6 = 1078282205
 	 */
 	testval = h*2^n - 1;
-	if (gcd(testval, 111546435) > 1) {
+	if (gcd(testval, 1078282205) > 1) {
-		/* a small 3 <= prime < 29 divides h*2^n-1 */
+		/* a small 5 <= prime < 31 divides h*2^n-1 */
-		ldebug("lucas","not-prime: 3<=prime<29 divides h*2^n-1");
+		ldebug("lucas",\
+		    "not-prime: a small 5<=prime<31 divides h*2^n-1");
 		return 0;
 	}
 	/*
-	 * check for 29 <= prime factors < 47
+	 * check for 31 <= prime factors < 53
-	 * pfact(46)/pfact(28) = 5864229
+	 * pfact(52)/pfact(30) = 95041567
 	 */
-	if (gcd(testval, 58642669) > 1) {
+	if (gcd(testval, 95041567) > 1) {
-		/* a small 29 <= prime < 47 divides h*2^n-1 */
+		/* a small 31 <= prime < 53 divides h*2^n-1 */
-		ldebug("lucas","not-prime: 29<=prime<47 divides h*2^n-1");
+		ldebug("lucas","not-prime: 31<=prime<53 divides h*2^n-1");
 		return 0;
 	}
 	/*
-	 * check for prime 47 <= factors < 257, if h*2^n-1 is large
+	 * check for prime 53 <= factors < 257, if h*2^n-1 is large
-	 * 2^282 > pfact(256)/pfact(46) > 2^281
+	 * 2^276 > pfact(256)/pfact(52) > 2^275
 	 */
 	bits = highbit(testval);
-	if (bits >= 281) {
+	if (bits >= 275) {
 		if (pprod256 <= 0) {
-			pprod256 = pfact(256)/pfact(46);
+			pprod256 = pfact(256)/pfact(52);
 		}
 		if (gcd(testval, pprod256) > 1) {
-			/* a small 47 <= prime < 257 divides h*2^n-1 */
+			/* a small 53 <= prime < 257 divides h*2^n-1 */
 			ldebug("lucas",\
-			    "not-prime: 47<=prime<257 divides h*2^n-1");
+			    "not-prime: 53<=prime<257 divides h*2^n-1");
 			return 0;
 		}
 	}
@@ -408,7 +435,9 @@ lucas(h, n)
 	 * generate a test for h*2^n-1.	 The legacy function,
 	 * legacy_gen_v1() used by the Amdahl 6 could have returned
 	 * -1. The new gen_v1() based on the method outlined in Ref4
-	 * will never return -1.
+	 * will never return -1 if h*2^n-1 is not a multiple of 3.
+	 * Because the "multiple of 3" case is handled above, the
+	 * call below to gen_v1() will never return -1.
 	 */
 	v1 = gen_v1(h, n);
 	if (v1 < 0) {
@@ -483,9 +512,9 @@ 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	- h as in h*2^n-1	(must be >= 1)
- *	n	- n as in h*2^n-1
+ *	n	- n as in h*2^n-1	(must be >= 1)
- *	v1	- gen_v1(h,n)		(see function below)
+ *	v1	- gen_v1(h,n)		(must be >= 3) (see function below)
  *
  * returns:
  *	u(2)	- initial value for Lucas test on h*2^n-1
@@ -498,6 +527,8 @@ gen_u2(h, n, v1)
 	local r;		/* low value: v(n) */
 	local s;		/* high value: v(n+1) */
 	local hbits;		/* highest bit set in h */
+	local oldh;		/* pre-reduced h */
+	local oldn;		/* pre-reduced n */
 	local i;
 
 	/*
@@ -506,24 +537,45 @@ gen_u2(h, n, v1)
 	if (!isint(h)) {
 		quit "bad args: h must be an integer";
 	}
+	if (h < 0) {
+		quit "bad args: h must be an integer >= 1";
+	}
 	if (!isint(n)) {
 		quit "bad args: n must be an integer";
 	}
+	if (n < 1) {
+		quit "bad args: n must be an integer >= 1";
+	}
 	if (!isint(v1)) {
 		quit "bad args: v1 must be an integer";
 	}
-	if (v1 <= 0) {
+	if (v1 < 3) {
-		quit "bogus arg: v1 is <= 0";
+		quit "bogus arg: v1 must be an integer >= 3";
+	}
+
+	/*
+	 * reduce h if even
+	 *
+	 * we will force h to be odd by moving powers of two over to 2^n
+	 */
+	oldh = h;
+	oldn = n;
+	shiftdown = fcnt(h,2);	/* h % 2^shiftdown == 0, max shiftdown */
+	if (shiftdown > 0) {
+		h >>= shiftdown;
+		n += shiftdown;
 	}
 
 	/*
 	 * enforce the h > 0 and n >= 2 rules
 	 */
 	if (h <= 0 || n < 1) {
+		print "	   ERROR: h=":oldh, "n=":oldn, "reduced h=":h, "n=":n;
 		quit "reduced args violate the rule: 0 < h < 2^n";
 	}
 	hbits = highbit(h);
 	if (hbits >= n) {
+		print "	   ERROR: h=":oldh, "n=":oldn, "reduced h=":h, "n=":n;
 		quit "reduced args violate the rule: 0 < h < 2^n";
 	}
 
@@ -598,8 +650,8 @@ gen_u2(h, n, v1)
  * See the function gen_u2() for details.
  *
  * input:
- *	h	- h as in h*2^n-1
+ *	h	- h as in h*2^n-1	(must be >= 1)
- *	n	- n as in h*2^n-1
+ *	n	- n as in h*2^n-1	(must be >= 1)
  *	v1	- gen_v1(h,n)		(see function below)
  *
  * returns:
@@ -637,9 +689,9 @@ gen_u0(h, n, v1)
  *	x > 2
  *
  * input:
- *	x	- potential v(1) value
+ *	x	potential v(1) value
- *	h	- h as in h*2^n-1
+ *	h	h as in h*2^n-1 (h must be odd >= 1)
- *	n	- n as in h*2^n-1
+ *	n	n as in h*2^n-1	(must be >= 1)
  *
  * returns:
  *	1	if v(1) == x for h*2^n-1
@@ -656,9 +708,18 @@ rodseth_xhn(x, h, n)
 	if (!isint(h)) {
 		quit "bad args: h must be an integer";
 	}
+	if (iseven(h)) {
+		quit "bad args: h must be an odd integer";
+	}
+	if (h < 1) {
+		quit "bad args: h must be an integer >= 1";
+	}
 	if (!isint(n)) {
 		quit "bad args: n must be an integer";
 	}
+	if (n < 1) {
+		quit "bad args: n must be an integer >= 1";
+	}
 	if (!isint(x)) {
 		quit "bad args: x must be an integer";
 	}
@@ -702,9 +763,9 @@ rodseth_xhn(x, h, n)
  * We can show that X > 2.  See the comments in the rodseth_xhn(x,h,n) above.
  *
  * Some values of X satisfy more often than others. For example a large sample
- * of odd h, h multiple of 3 and large n (some around 1e4, some near 1e6, others
+ * of h*2^n-1, h odd multiple of 3, and large n (some around 1e4, some near 1e6,
- * near 3e7) where the sample size was 66 973 365, here is the count of the
+ * others near 3e7) where the sample size was 66 973 365, here is the count of
- * smallest value of X that satisfies conditions in Ref4, condition 1:
+ * the smallest value of X that satisfies conditions in Ref4, condition 1:
  *
  *      count  X
  *    ----------
@@ -762,45 +823,161 @@ rodseth_xhn(x, h, n)
  *           1 161
  *           1 155
  *
+ * It is important that we select the smallest possible v(1).  While testing
+ * various values of X for V(1) is fast, using larger than necessary values
+ * of V(1) of can slow down calculating V(h).
+ *
  * The above distribution was found to hold fairly well over many values of
- * odd h that are a multiple of 3 and for many values of n where h < 2^n.
+ * odd h that are also a multiple of 3 and for many values of n where h < 2^n.
+ *
+ * For example for in a sample size of 1000000 numbers of the form h*2^n-1
+ * where h is an odd multiple of 3, 12996351 <= h <= 13002351,
+ * 4331116 <= n <= 4332116, these are the smallest v(1) values that were found:
+ *
+ *  smallest  percentage
+ *	v(1)     used
+ *  --------  ---------
+ *	  3   40.0000 %
+ *	  5   25.6833 %
+ *	  9   11.6924 %
+ *	 11   10.4528 %
+ *	 15    4.8048 %
+ *	 17    2.3458 %
+ *	 21    1.3734 %
+ *	 29    1.0527 %
+ *	 20    0.8595 %
+ *	 27    0.5758 %
+ *	 35    0.4420 %
+ *	 36    0.2433 %
+ *	 39    0.1779 %
+ *	 41    0.0885 %
+ *	 45    0.0571 %
+ *	 32    0.0337 %
+ *	 51    0.0289 %
+ *	 44    0.0205 %
+ *	 49    0.0176 %
+ *	 56    0.0137 %
+ *	 59    0.0108 %
+ *	 57    0.0053 %
+ *	 65    0.0047 %
+ *	 55    0.0045 %
+ *	 69    0.0031 %
+ *	 71    0.0024 %
+ *	 66    0.0011 %
+ *	 95    0.0008 %
+ *	 81    0.0008 %
+ *	 77    0.0006 %
+ *	 72    0.0005 %
+ *	 99    0.0004 %
+ *	 80    0.0003 %
+ *	 74    0.0003 %
+ *	 84    0.0002 %
+ *	 67    0.0002 %
+ *	 87    0.0001 %
+ *	104    0.0001 %
+ *	129    0.0001 %
+ *
+ * However, a case can be made for considering only odd values for v(1)
+ * candidates.  When h * 2^n-1 is prime and h is an odd multiple of 3,
+ * a smallest v(1) that is even is extremely rate.  Of the list of 146553
+ * known primes of the form h*2^n-1 when h is an odd a multiple of 3,
+ * none has an smallest v(1) that was even.
+ *
+ * See:
+ *
+ *	https://github.com/arcetri/verified-prime
+ *
+ * for that list of 146553 known primes of the form h*2^n-1.
+ *
+ * That same example for in a sample size of 1000000 numbers of the
+ * form h*2^n-1 where h is an odd multiple of 3, 12996351 <= h <= 13002351,
+ * 4331116 <= n <= 4332116, these are the smallest odd v(1) values that were
+ * found:
+ *
+ *  smallest    percentage
+ *  odd v(1)       used
+ *  --------    ---------
+ *	  3	40.0000 %
+ *	  5	25.6833 %
+ *	  9	11.6924 %
+ *	 11	10.4528 %
+ *	 15	 4.8048 %
+ *	 17	 2.3458 %
+ *	 21	 1.6568 %
+ *	 29	 1.6174 %
+ *	 35	 0.4529 %
+ *	 27	 0.3546 %
+ *	 39	 0.3470 %
+ *	 41	 0.2159 %
+ *	 45	 0.1173 %
+ *	 31	 0.0661 %
+ *	 51	 0.0619 %
+ *	 55	 0.0419 %
+ *	 59	 0.0250 %
+ *	 49	 0.0170 %
+ *	 69	 0.0110 %
+ *	 65	 0.0098 %
+ *	 71	 0.0078 %
+ *	 85	 0.0048 %
+ *	 81	 0.0044 %
+ *	 95	 0.0038 %
+ *	 99	 0.0021 %
+ *	125	 0.0009 %
+ *	 57	 0.0007 %
+ *	111	 0.0005 %
+ *	 77	 0.0003 %
+ *	165	 0.0003 %
+ *	155	 0.0002 %
+ *	129	 0.0002 %
+ *	101	 0.0002 %
+ *	 53	 0.0001 %
+ *
+ * Moreover when evaluating odd candidates for v(1), one may cache Jacobi
+ * symbol evaluations to reduce the number of Jacobi symbol evaluations to
+ * a minimum. For example, if one tests 5 and finds that the 2nd case fails:
+ *
+ *	jacobi(5+2, h*2^n-1) != -1
+ *
+ * Then if one is later testing 9, the Jacobi symbol value for the first
+ * 1st case:
+ *
+ *	jacobi(7-2, h*2^n-1)
+ *
+ * is already known.
+ *
+ * Without Jacobi symbol value caching, it requires on average
+ * 4.851377 Jacobi symbol evaluations.  With Jacobi symbol value caching
+ * cacheing, an average of 4.348820 Jacobi symbol evaluations is needed.
  *
  * Given this information, when odd h is a multiple of 3 we try, in order,
- * these values of X:
+ * these odd values of X:
  *
- *      3, 5, 9, 11, 15, 17, 21, 29, 20, 27, 35, 36, 39, 41, 45, 32, 51, 44,
+ *	3, 5, 9, 11, 15, 17, 21, 29, 27, 35, 39, 41, 31, 45, 51, 55, 49, 59,
- *      56, 49, 59, 57, 65, 55, 69, 71, 77, 81, 66, 95, 80, 67, 84, 99, 72,
+ *	69, 65, 71, 57, 85, 81, 95, 99, 77, 53, 67, 125, 111, 105, 87, 129,
- *      74, 87, 90, 104, 101, 105, 109, 116, 111, 92
+ *	101, 83, 165, 155, 149, 141, 121, 109
  *
  * And stop on the first value of X where:
  *
  *      jacobi(X-2, h*2^n-1) == 1
  *      jacobi(X+2, h*2^n-1) == -1
  *
- * If no value in that list works, we start simple search starting with X = 120
+ * Less than 1 case out of 1000000 will not be satisfied by the above list.
- * and incrementing by 1 until a value of X is found.
+ * If no value in that list works, we start simple search starting with X = 167
+ * and incrementing by 2 until a value of X is found.
  *
- * The x_tbl[] matrix contains those common values of X to try in order.
+ * The x_tbl[] matrix contains those values of X to try in order.
- * If all x_tbl_len fail to satisfy Ref4 condition 1, then we begin a
+ * If all x_tbl_len fail to satisfy Ref4 condition 1 (this happens less than
- * linear search at next_x until we find a proper X value.
+ * 1 in 1000000 cases), then we begin a linear search of odd values starting at
- *
+ * next_x until we find a proper X value.
- * IMPORTANT NOTE: Using this table will not find the smallest possible v(1)
- *		   for a given h and n.  This is not a problem because using
- *		   a larger value of v(1) does not impact the primality test.
- *		   Furthermore after lucas(h, n) generates a few u(n) terms,
- *		   the values will wrap (due to computing mod h*2^n-1).
- *		   Finally on average, about 1/4 of the values of X work as
- *		   v(1) for a given n when h is a multiple of 3.  Skipping
- *		   rarely used v(1) will not doom gen_v1() to a long search.
  */
-x_tbl_len = 45;
+x_tbl_len = 42;
 mat x_tbl[x_tbl_len];
 x_tbl = {
-    3, 5, 9, 11, 15, 17, 21, 29, 20, 27, 35, 36, 39, 41, 45, 32, 51, 44,
+    3, 5, 9, 11, 15, 17, 21, 29, 27, 35, 39, 41, 31, 45, 51, 55, 49, 59,
-   56, 49, 59, 57, 65, 55, 69, 71, 77, 81, 66, 95, 80, 67, 84, 99, 72,
+    69, 65, 71, 57, 85, 81, 95, 99, 77, 53, 67, 125, 111, 105, 87, 129,
-   74, 87, 90, 104, 101, 105, 109, 116, 111, 92
+    101, 83, 165, 155, 149, 141, 121, 109
 };
-next_x = 120;
+next_x = 167;	/* must be 2 more than the largest value in x_tbl[] */
 
 /*
  * gen_v1 - compute the v(1) for a given h*2^n-1 if we can
@@ -840,7 +1017,13 @@ next_x = 120;
  *	u(2) = alpha^h + alpha^(-h)		 (NOTE: some call this u(2))
  *	r = abs(2^2 - 1^2*3) = 1
  *
- * and the bottom of Ref1, page 872 states:
+ * where these values work for Case 1:		 (h mod 3 != 0)
+ *
+ *	a = 1
+ *	b = 2
+ *	D = 1
+ *
+ * Now at the bottom of Ref1, page 872 states:
  *
  *	v(x) = alpha^x + alpha^(-x)
  *
@@ -852,12 +1035,22 @@ next_x = 120;
  *
  *	u(2) = v(h)				 (NOTE: some call this u(2))
  *
- * so we simply return
+ * so we can always return
  *
  *	v(1) = alpha^1 + alpha^(-1)
  *	     = (2+sqrt(3)) + (2-sqrt(3))
  *	     = 4
  *
+ * In 40% of the cases when h is not a multiple of 3, 3 is a valid value
+ * for v(1).  We can test if 3 is a valid value for v(1) in this case:
+ *
+ *	if jacobi(1, h*2^n-1) == 1 and jacobi(5, h*2^n-1) == -1, then
+ *	    v(1) = 3
+ *	else
+ *	    v(1) = 4
+ *
+ * NOTE: The above "if then else" works only of h is not a multiple of 3.
+ *
  ***
  *
  * Case 2:	(h mod 3 == 0)
@@ -949,17 +1142,22 @@ next_x = 120;
  ***
  *
  * input:
- *	h	h as in h*2^n-1
+ *	h	h as in h*2^n-1 (h must be odd >= 1)
- *	n	n as in h*2^n-1
+ *	n	n as in h*2^n-1	(must be >= 1)
  *
  * output:
- *	returns v(1), or -1 is there is no quick way
+ *	returns v(1), or
+ *		-1 when h*2^n-1 is a multiple of 3
  */
 define
 gen_v1(h, n)
 {
 	local x;	/* potential v(1) to test */
 	local i;	/* x_tbl index */
+	local v1m2;	/* X-2 1st case */
+	local v1p2;	/* X+2 2nd case */
+	local testval;	/* h*2^n-1 - value we are testing if prime */
+	local mat cached_v1[next_x];	/* cached Jacobi symbol values or 0 */
 
 	/*
 	 * check arg types
@@ -967,58 +1165,131 @@ gen_v1(h, n)
 	if (!isint(h)) {
 		quit "bad args: h must be an integer";
 	}
+	if (iseven(h)) {
+		quit "bad args: h must be an odd integer";
+	}
+	if (h < 1) {
+		quit "bad args: h must be an integer >= 1";
+	}
 	if (!isint(n)) {
 		quit "bad args: n must be an integer";
 	}
+	if (n < 1) {
+		quit "bad args: n must be an integer >= 1";
+	}
+
+	/*
+	 * pretest: Verify that h*2^n-1 is not a multiple of 3
+	 */
+	if (((h % 3 == 1) && (n % 2 == 0)) || ((h % 3 == 2) && (n % 2 == 1))) {
+		/* no need to test h*2^n-1, it is not prime */
+		return -1;
+	}
+
+	/*
+	 * Common Mersenne number case:
+	 *
+	 * For Mersenne numbers:
+	 *
+	 *	2^n-1
+	 *
+	 * we can use, 40% of the time, v(1) == 3.  However nearly all code that
+	 * implements the Lucas-Lehmer test uses v(1) == 4.  Whenever for
+	 * h != 0 mod 3, and particular the Mersenne number case of when h == 1:
+	 *
+	 *	1*2^n-1
+	 *
+	 * v(1) == 4 always works.  For this reason, we return 4 when h == 1.
+	 */
+	if (h == 1) {
+		/* v(1) == 4 always works for the Mersenne number case */
+		return 4;
+	}
 
 	/*
 	 * check for Case 1:      (h mod 3 != 0)
 	 */
 	if (h % 3 != 0) {
-		/* v(1) is easy to compute */
+		if (rodseth_xhn(3, h, n) == 1) {
-		return 4;
+			/* 40% of the time, 3 works when h mod 3 != 0 */
+			return 3;
+		} else {
+			/* otherwise 4 always works when h mod 3 != 0 */
+			return 4;
+		}
 	}
 
 	/*
 	 * What follow is Case 2:      (h mod 3 == 0)
 	 */
 
+	/*
+	 * clear cache
+	 */
+	matfill(cached_v1, 0);
+
 	/*
 	 * We will look for x that satisfies conditions in Ref4, condition 1:
 	 *
 	 *	jacobi(X-2, h*2^n-1) == 1		part 1
 	 *	jacobi(X+2, h*2^n-1) == -1		part 2
+	 *
+	 * NOTE: If we wanted to be super optimal, we would cache
+	 *	 jacobi(X+2, h*2^n-1) that that when we increment X
+	 *	 to the next odd value, the now jacobi(X-2, h*2^n-1)
+	 *	 does not need to be re-evaluated.
 	 */
+	testval = h*2^n-1;
 	for (i=0; i < x_tbl_len; ++i) {
 
 		/*
-		 * test Ref4 condition 1:
+		 * obtain the next test candidate
 		 */
 		x = x_tbl[i];
-		if (rodseth_xhn(x, h, n) == 1) {
 
-			/*
+		/*
-			 * found a x that satisfies Ref4 condition 1
+		 * Check x for condition 1 part 1
-			 */
+		 *
-			ldebug("gen_v1", "h= " + str(h) + " n= " + str(n) +
+		 *	jacobi(x-2, h*2^n-1) == 1
-				" v1= " + str(x) + " using tbl[ " +
+		 */
-				str(i) + " ]");
+		v1m2 = x-2;
-			return x;
+		if (cached_v1[v1m2] == 0) {
+			cached_v1[v1m2] = jacobi(v1m2, testval);
 		}
+		if (cached_v1[v1m2] != 1) {
+			continue;
+		}
+
+		/*
+		 * Check x for condition 1 part 2
+		 *
+		 *	jacobi(x+2, h*2^n-1) == -1
+		 */
+		v1p2 = x+2;
+		if (cached_v1[v1p2] == 0) {
+			cached_v1[v1p2] = jacobi(v1p2, testval);
+		}
+		if (cached_v1[v1p2] != -1) {
+			continue;
+		}
+
+		/*
+		 * found a x that satisfies Ref4 condition 1
+		 */
+		ldebug("gen_v1", "h= " + str(h) + " n= " + str(n) +
+			" v1= " + str(x) + " using tbl[ " +
+			str(i) + " ]");
+		return x;
 	}
 
 	/*
-	 * We are in that rare case (about 1 in 2 300 000) where none of the
+	 * We are in that rare case (less than 1 in 1 000 000) where none of the
 	 * common X values satisfy Ref4 condition 1.  We start a linear search
-	 * at next_x from here on.
+	 * of odd values at next_x from here on.
-	 *
-	 * However, we also need to keep in mind that when x+2 >= 257, we
-	 * need to verify that gcd(x-2, h*2^n-1) == 1 and
-	 * and to verify that gcd(x+2, h*2^n-1) == 1.
 	 */
 	x = next_x;
 	while (rodseth_xhn(x, h, n) != 1) {
-		++x;
+		x += 2;
 	}
 	/* finally found a v(1) value */
 	ldebug("gen_v1", "h= " + str(h) + " n= " + str(n) +
@@ -1143,7 +1414,13 @@ legacy_d_qval[7] = 19;	legacy_v1_qval[7] = 74;	/* a=38	 b=1  r=2  */
  *	u(2) = alpha^h + alpha^(-h)
  *	r = abs(2^2 - 1^2*3) = 1
  *
- * and the bottom of Ref1, page 872 states:
+ * where these values work for Case 1: 			(h mod 3 != 0)
+ *
+ *	a = 1
+ *	b = 2
+ *	D = 1
+ *
+ * Now at the bottom of Ref1, page 872 states:
  *
  *	v(x) = alpha^x + alpha^(-x)
  *
@@ -1444,8 +1721,8 @@ legacy_d_qval[7] = 19;	legacy_v1_qval[7] = 74;	/* a=38	 b=1  r=2  */
  ***
  *
  * input:
- *	h	h as in h*2^n-1
+ *	h	h as in h*2^n-1	(must be >= 1)
- *	n	n as in h*2^n-1
+ *	n	n as in h*2^n-1	(must be >= 1)
  *
  * output:
  *	returns v(1), or -1 is there is no quick way
@@ -1457,6 +1734,22 @@ legacy_gen_v1(h, n)
 	local val_mod;	/* h*2^n-1 mod 'D' */
 	local i;
 
+	/*
+	 * check arg types
+	 */
+	if (!isint(h)) {
+		quit "bad args: h must be an integer";
+	}
+	if (h < 1) {
+		quit "bad args: h must be an integer >= 1";
+	}
+	if (!isint(n)) {
+		quit "bad args: n must be an integer";
+	}
+	if (n < 1) {
+		quit "bad args: n must be an integer >= 1";
+	}
+
 	/*
 	 * check for case 1
 	 */

cal/lucas_chk.cal

@@ -1,7 +1,7 @@
 /*
  * lucas_chk - test all primes of the form h*2^n-1, 1<=h<200 and n <= high_n
  *
- * Copyright (C) 1999  Landon Curt Noll
+ * Copyright (C) 1999,2021  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
@@ -17,10 +17,6 @@
  * 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: 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
  *
@@ -307,7 +303,7 @@ read -once "lucas.cal";
  *	[quiet] if given and != 0, then do not print individual test results
  *
  * returns:
- *	1	all is ok
+ *	1	all is OK
  *	0	something went wrong
  */
 define

cal/mersenne.cal

@@ -19,10 +19,6 @@
  * 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
  *

cal/mfactor.cal

@@ -1,7 +1,7 @@
 /*
  * mfactor - return the lowest factor of 2^n-1, for n > 0
  *
- * Copyright (C) 1999  Landon Curt Noll
+ * Copyright (C) 1999,2021  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
@@ -17,10 +17,6 @@
  * 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: 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
  *
@@ -83,7 +79,7 @@
  *		hindx = 0;
  *	} while (test_factor < some_limit);
  *
- * The test, mfactor(67, 1, 10000) took on an 200 Mhz r4k (user CPU seconds):
+ * The test, mfactor(67, 1, 10000) took on an 200 MHz r4k (user CPU seconds):
  *
  *	210.83	(prior to use of hset[])
  *	 78.35	(hset[] for p_elim = 7)
@@ -103,7 +99,7 @@
  *	 57.78	(hset[] for p_elim = 17)
  *	 p_elim == 19 rejected because of memory size
  *
- * The p_elim == 17 overhead takes ~3 minutes on an 200 Mhz r4k CPU and
+ * The p_elim == 17 overhead takes ~3 minutes on an 200 MHz r4k CPU and
  * requires about ~13 Megs of memory.  The p_elim == 13 overhead
  * takes about 3 seconds and requires ~1.5 Megs of memory.
  *
@@ -260,7 +256,7 @@ define mfactor(n, start_k, rept_loop, p_elim)
 		return q;
 	} else {
 		/* report this loop */
-		printf("at 2*%d*%d+1, cpu: %f\n",
+		printf("at 2*%d*%d+1, CPU: %f\n",
 			(q-1)/(2*n), n, usertime());
 		fflush(files(1));
 		loop = 0;
@@ -273,14 +269,14 @@ 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",
+			printf("at 2*%d*%d+1, CPU: %f\n",
 				(q-1)/(2*n), n, usertime());
 			fflush(files(1));
 			loop = 0;
 		}
 
 		/*
-		 * skip if divisable by a prime <= 449
+		 * skip if divisible by a prime <= 449
 		 *
 		 * The value 281 was determined by timing loops
 		 * which found that 281 was at or near the
@@ -289,7 +285,7 @@ define mfactor(n, start_k, rept_loop, p_elim)
 		 * The addition of the do { ... } while (factor(q, 449)>1);
 		 * loop reduced the factoring loop time (36504 k values with
 		 * the hset[] initialization time removed) from 25.69 sec to
-		 * 15.62 sec of CPU time on a 200Mhz r4k.
+		 * 15.62 sec of CPU time on a 200MHz r4k.
 		 */
 		do {
 			/*

cal/mod.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/natnumset.cal

@@ -1,7 +1,7 @@
 /*
  * natnumset - functions for sets of natural numbers not exceeding a fixed bound
  *
- * Copyright (C) 1999  Ernest Bowen
+ * Copyright (C) 1999,2021  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
@@ -17,10 +17,6 @@
  * 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
  *
@@ -80,7 +76,7 @@
  *	A \ B = set difference, integers in A but not in B
  *
  *	~A	= complement of A, integers not in A
- *	#A	= number ofintegers in A
+ *	#A	= number of integers in A
  *	!A	= 1 or 0 according as A is empty or not empty
  *	+A	= sum of the members of A
  *
@@ -104,7 +100,7 @@
  *	A >= B = (B <= A)
  *	A > B = (B < A)
  *
- * Expresssions may be formed from the above "arithmetic" operations in
+ * Expressions may be formed from the above "arithmetic" operations in
  * the usual way, with parentheses for variations from the usual precedence
  * rules.  For example
  *

cal/pell.cal

@@ -1,7 +1,7 @@
 /*
  * pell - solve Pell's equation
  *
- * Copyright (C) 1999  David I. Bell
+ * Copyright (C) 1999,2021  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
@@ -17,10 +17,6 @@
  * 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
  *
@@ -29,7 +25,7 @@
 
 /*
  * 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.
+ * Type the solution to Pell's equation for a particular D.
  */
 
 

cal/pi.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/pix.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/pollard.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/poly.cal

@@ -1,7 +1,7 @@
 /*
  * poly - calculate with polynomials of one variable
  *
- * Copyright (C) 1999  Ernest Bowen
+ * Copyright (C) 1999,2021  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
@@ -17,10 +17,6 @@
  * 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
  *
@@ -39,7 +35,7 @@
  *	variable has only one name.  For some purposes, a name like
  *	"sin(t)" or "(a + b)" or "\lambda" might be useful;
  *	names like "*" or "-27" are legal but might give expressions
- *	that are difficult to intepret.
+ *	that are difficult to interpret.
  *
  * Polynomial expressions may be constructed from numbers and the
  *	independent variable and other polynomials by the algebraic
@@ -47,7 +43,7 @@
  *	The operations // and % are defined to have the quotient and
  *	remainder meanings as usually defined for polynomials.
  *
- * When polynomials are assigned to idenfifiers, it is convenient to
+ * When polynomials are assigned to identifiers, it is convenient to
  *	think of the polynomials as values.  For example, p = (x - 1)^2
  *	assigns to p a polynomial value in the same way as q = (7 - 1)^2
  *	would assign to q a number value.  As with number expressions

cal/prompt.cal

@@ -1,7 +1,7 @@
 /*
- * prompt - eemonstration of some uses of prompt() and eval()
+ * prompt - demonstration of some uses of prompt() and eval()
  *
- * Copyright (C) 1999  Ernest Bowen
+ * Copyright (C) 1999,2021  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
@@ -17,10 +17,6 @@
  * 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
  *
@@ -65,9 +61,9 @@
  * nothing to sum.  The last line returns the value 3, i.e. the last
  * non-null value found for the expressions separated by semicolons,
  * so sum will be increased by 3 after the "print sum^2;" command
- * is executed.	 xxx The terminating semicolon is essential in the
+ * is executed.	 XXX The terminating semicolon is essential in the
  * last two lines.  A command like eval("print 7;") is acceptable to
- * calc but eval("print 7") causes an exit from calc. xxx)
+ * calc but eval("print 7") causes an exit from calc. XXX)
  *
  * If the value returned is not a number (e.g. the name of a list or matrix,
  * or if the string has syntax errors as in "2 + ", in which case the
@@ -79,7 +75,7 @@
  *	"sin(x)", "x^2 + 3*x", "exp(x, 1e-5)".
  *
  * Values of the function so defined are returned for values of x
- * entered in reponse to the ? prompt.	Operation is terminated by
+ * entered in response to the ? prompt.	Operation is terminated by
  * entering "end", "exit" or "quit".
  */
 

cal/psqrt.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/qtime.cal

@@ -20,10 +20,6 @@
  * 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
  *

cal/quat.cal

@@ -1,7 +1,7 @@
 /*
- * quat - alculate using quaternions of the form: a + bi + cj + dk
+ * quat - calculate using quaternions of the form: a + bi + cj + dk
  *
- * Copyright (C) 1999  David I. Bell
+ * Copyright (C) 1999,2021  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
@@ -17,10 +17,6 @@
  * 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
  *

cal/randbitrun.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/randmprime.cal

@@ -1,7 +1,7 @@
 /*
  * randmprime - generate a random prime of the form h*2^n-1
  *
- * Copyright (C) 1999  Landon Curt Noll
+ * Copyright (C) 1999,2021  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
@@ -17,10 +17,6 @@
  * 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: randmprime.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
- * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/randmprime.cal,v $
- *
  * Under source code control:	1994/03/14 23:11:21
  * File existed as early as:	1994
  *
@@ -49,9 +45,9 @@ randmprime(bits, seed, dbg)
     local n;		/* n as in h*2^n-1 */
     local h;		/* h as in h*2^n-1 */
     local plush;	/* value added to h since the beginning */
-    local init;		/* initial cpu time */
+    local init;		/* initial CPU time */
-    local start;	/* cpu time before last test */
+    local start;	/* CPU time before last test */
-    local stop;		/* cpu time afte last test */
+    local stop;		/* CPU time after last test */
     local tmp;		/* just a tmp place holder value */
     local ret;		/* h*2^n-1 that is prime */
 

cal/randombitrun.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/randomrun.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/randrun.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/regress.cal

@@ -1,7 +1,7 @@
 /*
  * regress - calc regression and correctness test suite
  *
- * Copyright (C) 1999-2017  David I. Bell and Landon Curt Noll
+ * Copyright (C) 1999-2017,2021  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
@@ -17,10 +17,6 @@
  * received a copy with calc; if not, write to Free Software Foundation, Inc.
  * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
- * @(#) $Revision: 30.14 $
- * @(#) $Id: regress.cal,v 30.14 2017/05/19 16:09:14 chongo Exp $
- * @(#) $Source: /usr/local/src/bin/calc-RHEL7/cal/RCS/regress.cal,v $
- *
  * Under source code control:	1990/02/15 01:50:36
  * File existed as early as:	before 1990
  *
@@ -47,7 +43,7 @@ global prob;				/* libregress.cal problem counter */
 prob = 0;				/* clear problem counter */
 
 errcount(0),;				/* clear error count */
-errmax(-1),;				/* prevent errcount from abouting */
+errmax(-1),;				/* prevent errcount from aborting */
 
 global ecnt;				/* expected value of errcount() */
 ecnt = 0;				/* clear expected errcount() value */
@@ -360,8 +356,18 @@ define test_arithmetic()
 	vrfy(-16^-2 == -1/256,	'447: -16^-2 == -1/256');
 	vrfy(-7^2 == -49,	'448: -7^2 == -49');
 	vrfy(-3! == -6,		'449: -3! == -6');
+	vrfy(0^(0-0) == 1,	'450: 0^(0-0) == 1');
+	vrfy(0^(2-2) == 1,	'451: 0^(2-2) == 1');
+	vrfy(2^0 == 1,		'452: 2^0 == 1');
+	vrfy(2^(0-0) == 1,	'453: 2^(0-0) == 1');
+	vrfy(2^(2-2) == 1,	'454: 2^(2-2) == 1');
+	vrfy((2^23209-1)^0 == 1,	'455: (2^23209-1)^0 == 1');
+	vrfy((2^23209-1)^(0-0) == 1,	'456: (2^23209-1)^(0-0) == 1');
+	vrfy((2^23209-1)^(2-2) == 1,	'457: (2^23209-1)^(2-2) == 1');
+	vrfy((2^23209-1)^((2^23209-1)-(2^23209-1)) == 1,
+			'458: (2^23209-1)^((2^23209-1)-(2^23209-1)) == 1');
 
-	print '450: Ending test_arithmetic';
+	print '459: Ending test_arithmetic';
 }
 print '009: parsed test_arithmetic()';
 
@@ -457,7 +463,7 @@ define test_config()
 					'539: config("more", ">> ") == ";; "');
 	vrfy(config("all") == oldcfg,	'540: config("all") == oldcfg');
 
-	/* restore the configation at the start of this function */
+	/* restore the configuration at the start of this function */
 	vrfy(config("all",callcfg) == oldcfg,
 					'541: config("all",callcfg) == oldcfg');
 
@@ -3160,7 +3166,7 @@ print '047: parsed test_poly()';
 
 
 /*
- * test_det - more determinent testing
+ * test_det - more determinant testing
  */
 read -once "test3300";
 print '048: read -once test3300';
@@ -3231,9 +3237,9 @@ define test_error()
 
 	print '3600: Beginning test_error';
 
-	/* bump ecnt up by 148 */
+	/* bump ecnt up by 156 */
-	ecnt += 148;
+	ecnt += 156;
-	print				'3601: ecnt += 148';
+	print				'3601: ecnt += 156';
 
 	strx = "x";
 	print				'3602: strx = "x"';
@@ -3422,11 +3428,15 @@ define test_error()
 	n = 8191;
 	print				'3727: n = 8191';
 	/* test 3728 removed due to non-portable strerror() output */
+	vrfy(tan(2e9i) == error(10435),	'3729: tan(2e9i) == error(10435)');
+	vrfy(cot(2e9i) == error(10437),	'3730: cot(2e9i) == error(10437)');
+	vrfy(sec(2e9i) == error(10439),	'3731: sec(2e9i) == error(10439)');
+	vrfy(csc(2e9i) == error(10440),	'3732: csc(2e9i) == error(10440)');
 
 	/* errmax and errcount should be bumped up the 148 errors above */
-	vrfy(errcount() == ecnt,	'3729: errcount() == ecnt');
+	vrfy(errcount() == ecnt,	'3733: errcount() == ecnt');
 
-	print '3730: Ending test_error';
+	print '3734: Ending test_error';
 }
 print '054: parsed test_error()';
 
@@ -3473,7 +3483,7 @@ print '065: parsed test_param()';
 
 
 /*
- * test_noarg - test missing argment functionality
+ * test_noarg - test missing argument functionality
  */
 define test_noarg()
 {
@@ -4106,38 +4116,46 @@ define test_strprintf()
 			'4821: strprintf("%b", 27/29) == "0b11011/0b11101"');
 	vrfy(strprintf("%e", 12345) == "~1.23e4",
 			'4822: strprintf("%e", 12345) == "~1.23e4"');
+	vrfy(strprintf("%g", .385) == "~.38",
+			'4823: strprintf("%g", .385) == "~.38"');
+	vrfy(strprintf("%g", 385) == "~3.8e2",
+			'4824: strprintf("%g", 385) == "~3.8e2"');
 
 	/* mode tests with tilde == 0 */
 	c = config("tilde", 0);
-	print		'4823: c = config("tilde", 0)';
+	print		'4825: c = config("tilde", 0)';
 	vrfy(strprintf("%e", 12345) == "1.23e4",
-			'4824: strprintf("%e", 12345) == "1.23e4"');
+			'4826: strprintf("%e", 12345) == "1.23e4"');
 	vrfy(strprintf("%.3e", 12345) == "1.234e4",
-			'4825: strprintf("%.3e", 12345) == "1.234e4"');
+			'4827: strprintf("%.3e", 12345) == "1.234e4"');
 	vrfy(strprintf("%e", .00012345) == "1.23e-4",
-			'4826: strprintf("%e", .00012345) == "1.23e-4"');
+			'4828: strprintf("%e", .00012345) == "1.23e-4"');
 	vrfy(strprintf("%d %d", 27) == "27 ",
-			'4827: strprintf("%d %d", 27) == "27 "');
+			'4829: strprintf("%d %d", 27) == "27 "');
 	vrfy(strprintf("%d", 27, 29) == "27",
-			'4828: strprintf("%d", 27, 29) == "27"');
+			'4830: strprintf("%d", 27, 29) == "27"');
 	vrfy(strprintf("%r = %f", 27/29, 27/29) == "27/29 = .93",
-		'4829: strprintf("%r = %f", 27/29, 27/29) == "27/29 = .93"');
+		'4831: strprintf("%r = %f", 27/29, 27/29) == "27/29 = .93"');
 	vrfy(strprintf("%s", "abc") == "abc",
-		'4830: strprintf("%s", "abc") == "abc"');
+		'4832: strprintf("%s", "abc") == "abc"');
 	vrfy(strprintf("%f", "abc") == "abc",
-		'4831: strprintf("%f", "abc") == "abc"');
+		'4833: strprintf("%f", "abc") == "abc"');
 	vrfy(strprintf("%e", "abc") == "abc",
-		'4832: strprintf("%e", "abc") == "abc"');
+		'4834: strprintf("%e", "abc") == "abc"');
 	vrfy(strprintf("%5s", "abc") == "  abc",
-		'4833: strprintf("%5s", "abc") == "  abc"');
+		'4835: strprintf("%5s", "abc") == "  abc"');
 	vrfy(strprintf("%-5s", "abc") == "abc  ",
-		'4834: strprintf("%-5s", "abc") == "abc	 "');
+		'4836: strprintf("%-5s", "abc") == "abc	 "');
+	vrfy(strprintf("%g", .385) == ".38",
+			'4837: strprintf("%g", .385) == ".38"');
+	vrfy(strprintf("%g", 385) == "3.8e2",
+			'4838: strprintf("%g", 385) == "3.8e2"');
 
 	/* restore config */
 	c = config("all", callcfg);
-	print				    '4835: c = config("all", callcfg)';
+	print				    '4839: c = config("all", callcfg)';
 
-	print '4836: Ending test_strprintf';
+	print '4840: Ending test_strprintf';
 }
 print '088: parsed test_fileop()';
 
@@ -5175,7 +5193,7 @@ define test_size()
 			'5715: sizeof(17^139 + 674)*2 == sizeof(q)');
 
 	/*
-	 * recipricals are the same size of their integer inverses
+	 * reciprocals are the same size of their integer inverses
 	 */
 	q = 1/13;
 	print				  '5716: q = 1/13';
@@ -5253,7 +5271,7 @@ define test_size()
 
 	/*
 	 * size of a matrix is the sum of the sizes of the elements
-	 * sizeof of a matrix is the sum of the sizeofs of the elements
+	 * sizeof of a matrix is the sum of the sizeof's of the elements
 	 */
 	mat m[] = {z,q,c};
 	print				  '5752: mat m[] = {z,q,c}';
@@ -5373,7 +5391,7 @@ define test_is()
 {
 	local loc;	/* unassigned local variable */
 	local a;	/* assoc */
-	local ofd;	/* open file desriptor */
+	local ofd;	/* open file descriptor */
 	local cfd;	/* closed file descriptor */
 	local blk;	/* unnamed block */
 	local nblk;	/* named block */
@@ -5390,7 +5408,7 @@ define test_is()
 	local object;	/* object */
 	local rand;	/* rand seed */
 	local random;	/* random seed */
-	local real;	/* real non-intger value */
+	local real;	/* real non-integer value */
 	local prime;	/* odd prime */
 	local square;	/* square of an odd prime */
 	local string;	/* string */
@@ -7474,7 +7492,7 @@ print '190: parsed test_somenew()';
 
 
 /*
- * test_exponentiation - test new exponentiation functionaltiy
+ * test_exponentiation - test new exponentiation functionality
  */
 define test_exponentiation()
 {
@@ -7565,7 +7583,7 @@ define test_quit()
 	quit;
 	prob('quit did not end the test_quit() function');
 
-	/* 8400 serise continued after return, do not print end here */
+	/* 8400 series continued after return, do not print end here */
 }
 print '191: parsed test_quit()';
 
@@ -7866,7 +7884,7 @@ print	'8406: Ending test_quit';
 
 
 /*
- * test_divmod - psuedo-random tests on the // and % with various rounding modes
+ * test_divmod - pseudo-random tests on the // and % with various rounding modes
  */
 print;
 print '8500: Starting test of divmod'
@@ -7892,7 +7910,7 @@ vrfy(config("redecl_warn",0),	  '8651: config("redecl_warn",0)');
 vrfy(config("dupvar_warn",0),	  '8652: config("dupvar_warn",0)');
 vrfy(u_glob == 6,		  '8653: u_glob == 6');
 global u_glob = 555;
-print 				  '8654: reclare u_glob';
+print 				  '8654: declare u_glob';
 vrfy(u_glob == 555,		  '8655: u_glob == 555');
 define func_8650(u_glob) { local u_glob; return u_glob; }
 print				  '8656: u_glob as both local and parameter';
@@ -7920,7 +7938,7 @@ vrfy(dotest("set8700.line", 8703) == 0,
 
 
 /*
- * new exponentiation functionaltiy
+ * new exponentiation functionality
  */
 print;
 return test_exponentiation();
@@ -7936,8 +7954,8 @@ print '8901: read -once "test8900"';
 read -once "test8900";
 print '8902: about to run test8900(1,,8903)';
 testnum = test8900(1,,8903);
-print '8999: ecnt = 203;'
+print '8999: ecnt = 211;'
-ecnt = 203;
+ecnt = 211;
 /* 89xx: test calc resource functions by Christoph Zurnieden */
 
 
@@ -8066,7 +8084,7 @@ return test_functions2();
  *
  *	beer.cal	- prints a bunch of things when loaded
  *	hello.cal	- designed to go into an infinite loop
- *	lucal.cal	- already read by this file
+ *	lucas.cal	- already read by this file
  *	lucas_chk.cal	- already read by this file
  *	regress.cal	- this file
  *	surd.cal	- already read by this file

cal/repeat.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/screen.cal

@@ -15,10 +15,6 @@
  * 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

cal/seedrandom.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/set8700.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/set8700.line

@@ -17,10 +17,6 @@
 ## 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
 ##

cal/solve.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/specialfunctions.cal

@@ -1,7 +1,7 @@
 /*
  * specialfunctions - special functions (e.g.: gamma, zeta, psi)
  *
- * Copyright (C) 2013 Christoph Zurnieden
+ * Copyright (C) 2013,2021 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
@@ -17,10 +17,6 @@
  * 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: specialfunctions.cal,v 30.6 2013/09/01 17:48:27 chongo Exp $
- * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/specialfunctions.cal,v $
- *
  * Under source code control:	2013/08/11 01:31:28
  * File existed as early as:	2013
  */
@@ -446,8 +442,8 @@ define lngamma(z)
 			if (tmp2 < tmp) {
 			    return
 				newerror(strcat
-					 ("lngamma(1): something happend that ",
+					 ("lngamma(1): something happened ",
-					  "should not have happend"));
+					  "that shouldn't have happened"));
 			}
 		    }
 		}
@@ -523,8 +519,8 @@ define lngamma(z)
 			    if (tmp2 < tmp) {
 				return
 				    newerror(strcat
-					     ("lngamma(1): something happend ",
+					     ("lngamma(1): something happened ",
-					      "that should not have happend"));
+					      "that should not have happened"));
 			    }
 			}
 		    }
@@ -580,8 +576,8 @@ define lngamma(z)
 			    if (tmp2 < tmp) {
 				return
 				    newerror(strcat
-					     ("lngamma(1): something happend ",
+					     ("lngamma(1): something happened ",
-					      "that should not have happend"));
+					      "that should not have happened"));
 			    }
 			}
 		    }
@@ -1051,7 +1047,7 @@ define __CZ__ibeta_cf_var_dm(a, b, z, max)
 	}
     }
     if (m > max) {
-	return newerror("ibeta: continous fraction does not converge");
+	return newerror("ibeta: continuous fraction does not converge");
     }
     return f;
 }
@@ -1294,7 +1290,7 @@ define __CZ__erfinvapprox(x)
 	     - (2 / (pi() * a) + (ln(1 - x ^ 2)) / 2));
 }
 
-/* complementary inverse errror function, faster at about x < 1-.91
+/* complementary inverse error function, faster at about x < 1-.91
    Henry E. Fettis. "A stable algorithm for computing the inverse error function
    in the 'tail-end' region" Math. Comp., 28:585-587, 1974.
 */
@@ -1328,7 +1324,7 @@ define __CZ__fettiscf(y, n)
     return t / (1 + r);
 }
 
-/* inverse errror function, faster at about x<=.91*/
+/* inverse error function, faster at about x<=.91*/
 define __CZ__inverfbin(x)
 {
     local places approx flow fhigh eps high low mid fmid epsilon;
@@ -1374,7 +1370,7 @@ define erfinv(x)
 	x = -x;
 	flag = 1;
     }
-    /* No need for full pecision */
+    /* No need for full precision */
     eps = epsilon(1e-20);
     if (eps >= 1e-40) {
 	/* Winitzki, Sergei (6 February 2008). "A handy approximation for the

cal/statistics.cal

@@ -1,7 +1,7 @@
 /*
  * statistics - Some assorted statistics functions.
  *
- * Copyright (C) 2013 Christoph Zurnieden
+ * Copyright (C) 2013,2021 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
@@ -17,10 +17,6 @@
  * 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
  */
@@ -110,7 +106,7 @@ define invbetainc_slow(x,a,b){
     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,
+    and AS 64: Inverse of the Incomplete Beta integral,
     Applied Statistics,
     Volume 26, Number 1, 1977, pages 111-114.
 

cal/sumsq.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/sumtimes.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/surd.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/test1700.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/test2300.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/test2600.cal

@@ -1,7 +1,7 @@
 /*
  * test2600 - 2600 series of the regress.cal test suite
  *
- * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
+ * Copyright (C) 1999,2021  Ernest Bowen and Landon Curt Noll
  *
  * Primary author:  Ernest Bowen
  *
@@ -19,10 +19,6 @@
  * 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
  *
@@ -54,7 +50,7 @@
  * of b in power(a, b, eps) is large, the computation required for
  * a test may be very heavy.
  *
- * Test funcations are called as:
+ * Test functions are called as:
  *
  *	testabc(str, ..., verbose)
  *

cal/test2700.cal

@@ -1,7 +1,7 @@
 /*
  * test2700 - 2700 series of the regress.cal test suite
  *
- * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
+ * Copyright (C) 1999,2021  Ernest Bowen and Landon Curt Noll
  *
  * Primary author:  Ernest Bowen
  *
@@ -19,10 +19,6 @@
  * 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
  *
@@ -88,7 +84,7 @@ define mkfrac() = rand(2) ? mkposfrac() : -mkposfrac();
 define mksquarereal() = mknonnegreal()^2;
 
 /*
- * We might be able to do better than the following.  For nonsquare
+ * We might be able to do better than the following.  For non-square
  * positive integer less than 1e6, could use:
  *		 x = rand(1, 1000);
  *		 return rand(x^2 + 1, (x + 1)^2);

cal/test3100.cal

@@ -19,10 +19,6 @@
  * 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
  *

cal/test3300.cal

@@ -19,10 +19,6 @@
  * 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
  *

cal/test3400.cal

@@ -19,10 +19,6 @@
  * 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
  *

cal/test3500.cal

@@ -19,10 +19,6 @@
  * 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
  *

cal/test4000.cal

@@ -19,10 +19,6 @@
  * 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
  *

cal/test4100.cal

@@ -19,10 +19,6 @@
  * 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
  *

cal/test4600.cal

@@ -19,10 +19,6 @@
  * 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
  *

cal/test5100.cal

@@ -1,7 +1,7 @@
 /*
  * test5100 - 5100 series of the regress.cal test suite
  *
- * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
+ * Copyright (C) 1999,2021  Ernest Bowen and Landon Curt Noll
  *
  * Primary author:  Ernest Bowen
  *
@@ -19,10 +19,6 @@
  * 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
  *
@@ -39,7 +35,7 @@ defaultverbose = 1;	/* default verbose value */
  * 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
+ * function is first called with a positive even x. The variable b5100
  * is similarly initialized if and when this function is first called positive
  * odd x.
  *

cal/test5200.cal

@@ -19,10 +19,6 @@
  * 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
  *

cal/test8400.cal

@@ -17,10 +17,6 @@
  * 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
  *

cal/test8500.cal

@@ -1,7 +1,7 @@
 /*
  * test8500 - 8500 series of the regress.cal test suite
  *
- * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
+ * Copyright (C) 1999,2021  Ernest Bowen and Landon Curt Noll
  *
  * Primary author:  Ernest Bowen
  *
@@ -19,10 +19,6 @@
  * 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
  *
@@ -173,7 +169,7 @@ define divmod_8500(N = 10, M1 = 2^128, M2 = 2^64, testnum = 0)
 		}
 
 		/*
-		 * seelect one of the 32 rounding modes at random
+		 * select one of the 32 rounding modes at random
 		 */
 		rnd = rand(32);
 

cal/test8600.cal

@@ -19,10 +19,6 @@
  * 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: test8600.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
- * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test8600.cal,v $
- *
  * Under source code control:	2000/12/04 19:57:02
  * File existed as early as:	2000
  *

cal/test8900.cal

@@ -1,7 +1,7 @@
 /*
  * test8900 - 8900 series of the regress.cal test suite
  *
- * Copyright (C) 2013 Christoph Zurnieden
+ * Copyright (C) 2013,2021 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
@@ -17,10 +17,6 @@
  * 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: test8900.cal,v 30.6 2013/09/01 22:16:21 chongo Exp $
- * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test8900.cal,v $
- *
  * Under source code control:	2013/08/11 01:31:28
  * File existed as early as:	2013
  */
@@ -30,7 +26,7 @@ static __CZ__eps = 1e-20;
 
 
 /*
- * load once, the calc resource functions contribued by Christoph Zurnieden
+ * load once, the calc resource functions contributed by Christoph Zurnieden
  */
 read -once bernpoly.cal;
 read -once brentsolve.cal;
@@ -49,7 +45,7 @@ read -once intnum.cal;
 /*
  * tests of correctness of the functions implemented by the above listed
  * author. All values tested against have been computed with at least two
- * independant algorithms where possible (indicated if not).
+ * independent algorithms where possible (indicated if not).
  */
 define t01()
 {
@@ -1653,7 +1649,7 @@ define t03()
 /*  test 04 tests polygamma(m,z) for the following values (m==0 gets computed
  *  by psi()).
  *  Values tested against were computed with Mathematica(TM) only
- *  (z in the left complex halfplane does not get computed yet)
+ *  (z in the left complex half plane does not get computed yet)
  */
 define t04()
 {
@@ -2061,7 +2057,12 @@ define t010()
 	epsilon(eps);
 	return 5;
     }
-    if ((stirling2(10, 5) - (42525)) != 0) {
+    /*
+     * Once, when an expression such as 0^(6-6) returned 0,
+     * then stirling2(10, 5) == 42525.  However when we made9
+     * 0^(6-6) == 0^0 == 1, then stirling2(10, 5) == 5102999/120.
+     */
+    if ((stirling2(10, 5) - (5102999/120)) != 0) {
 	epsilon(eps);
 	return 6;
     }

cal/toomcook.cal

@@ -1,7 +1,7 @@
 /*
  * toomcook - implementation of Toom-Cook(3,4) multiplication algorithm
  *
- * Copyright (C) 2013 Christoph Zurnieden
+ * Copyright (C) 2013,2021 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
@@ -17,10 +17,6 @@
  * 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
  */
@@ -324,16 +320,16 @@ define toomcook4square(a){
 }
 
 /*
-  TODO: Implement the asymmetric variations
+ * TODO: Implement the asymmetric variations
-*/
+ */
 
 /*
-  produce_long_random_number(n) returns large pseudorandom numbers. Really large
+ * produce_long_random_number(n) returns large pseudo-random numbers.
-  numbers, e.g.:
+ * Really large numbers, e.g.:
-      produce_long_random_number(16)
+ *     produce_long_random_number(16)
-  is ca 4,128,561 bits (ca 1,242,821 dec. digits) large. Exact length is not
+ * 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().
+ * pre-determinable because of the chaotic output of the function random().
-*/
+ */
 define __CZ__produce_long_random_number(n)
 {
   local ret k;

cal/unitfrac.cal

@@ -1,7 +1,7 @@
 /*
- * unixfrac - represent a fraction as a sum of distince unit fractions
+ * unixfrac - represent a fraction as a sum of distance unit fractions
  *
- * Copyright (C) 1999  David I. Bell
+ * Copyright (C) 1999,2021  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
@@ -17,10 +17,6 @@
  * 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: unitfrac.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
- * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/unitfrac.cal,v $
- *
  * Under source code control:	1990/02/15 01:50:38
  * File existed as early as:	before 1990
  *