Release v2.14.1.0

The following are the changes from calc version 2.14.1.0 to date:

    Fixed alignment of show item section of help command.

    Bug fix: While 0^0 == 1, now for y > 0, 0^y == 0.
    Adjusted cal/test8900.cal to reflect this bug fix.
    Added tests to cal/regress.cal to help verify bug fix is fixed.

.github/ISSUE_TEMPLATE/calc-bug-report.md

@@ -0,0 +1,70 @@
+---
+name: Calc bug report
+about: Create a report to help us improve
+title: 'Bug: XXX-change-this-part-XXX'
+labels: bug
+assignees: ''
+
+---
+
+Calc bug report template version: 1.2 2022-02-24
+
+**Describe the bug**
+A clear and concise description of what the bug is.
+
+**To Reproduce**
+Steps to reproduce the behavior:
+
+0. How you started calc
+    I.e., provide the command line you used to launch calc
+
+1. Calc commands and their output
+    Please provide any calc commands you entered on the the terminal.
+    Please provide the calc command line output inline as well.
+    If the above is long, please attach a file.
+
+    Or if you cannot compile calc: The make command you used try and compile calc
+    and all error and warning messages produced during that action.  If long, consider
+    attaching a file.
+
+2. Indicate where the problem is
+    Referring to the information for step 1 above,  indicate where the problem is to be found
+
+**Expected behavior**
+A clear and concise description of what you expected to happen.
+
+**Attach make debug output**
+IMPORTANT: Please attach the output from `make debug`.
+
+**Screenshots**
+If applicable, attach screenshots to help explain your problem.
+
+**Execution environment (please complete the following information):**
+ - OS:
+        E.g., macOS, FreeBSD, Linux, Windows 11, etc.
+
+ - OS version:
+        E.g., Preferred: give the output of `uname -a`
+                 or if no uname command, a description of the OS version/release you are using
+
+ - OS distribution:
+        E.g., macOS Monterey, contents of /etc/redhat-releaseor /etc/os-release, etc.
+
+ - Calc Version
+        E.g., output of calc -v
+                 or if you cannot compile calc, the version you downloaded and from where it came from
+
+ - Shell and shell version
+        E.g.., bash, zsh, power shell, etc.
+                 and the version of the shell you are using, if known
+
+**Calc mods**
+If you have modified the calc source for some reason, please description what you modified.
+Please consider attaching a patch (diff -u) between an official calc release and the source
+you are using.
+
+**Patch**
+If you have a recommended code patch to address the problem, please attach your file
+
+**Additional context**
+Add any other context about the problem here.

.github/ISSUE_TEMPLATE/feature_request.md

@@ -0,0 +1,20 @@
+---
+name: Feature request
+about: Suggest an idea for this project
+title: ''
+labels: ''
+assignees: ''
+
+---
+
+**Is your feature request related to a problem? Please describe.**
+A clear and concise description of what the problem is. Ex. I'm always frustrated when [...]
+
+**Describe the solution you'd like**
+A clear and concise description of what you want to happen.
+
+**Describe alternatives you've considered**
+A clear and concise description of any alternative solutions or features you've considered.
+
+**Additional context**
+Add any other context or screenshots about the feature request here.

.github/workflows/codeql-analysis.yml

@@ -0,0 +1,71 @@
+# For most projects, this workflow file will not need changing; you simply need
+# to commit it to your repository.
+#
+# You may wish to alter this file to override the set of languages analyzed,
+# or to provide custom queries or build logic.
+#
+# ******** NOTE ********
+# We have attempted to detect the languages in your repository. Please check
+# the `language` matrix defined below to confirm you have the correct set of
+# supported CodeQL languages.
+#
+name: "CodeQL"
+
+on:
+  push:
+    branches: [ master ]
+  pull_request:
+    # The branches below must be a subset of the branches above
+    branches: [ master ]
+  schedule:
+    - cron: '41 1 * * 6'
+
+jobs:
+  analyze:
+    name: Analyze
+    runs-on: ubuntu-latest
+    permissions:
+      actions: read
+      contents: read
+      security-events: write
+
+    strategy:
+      fail-fast: false
+      matrix:
+        language: [ 'cpp' ]
+        # CodeQL supports [ 'cpp', 'csharp', 'go', 'java', 'javascript', 'python' ]
+        # Learn more:
+        # https://docs.github.com/en/free-pro-team@latest/github/finding-security-vulnerabilities-and-errors-in-your-code/configuring-code-scanning#changing-the-languages-that-are-analyzed
+
+    steps:
+    - name: Checkout repository
+      uses: actions/checkout@v2
+
+    # Initializes the CodeQL tools for scanning.
+    - name: Initialize CodeQL
+      uses: github/codeql-action/init@v1
+      with:
+        languages: ${{ matrix.language }}
+        # If you wish to specify custom queries, you can do so here or in a config file.
+        # By default, queries listed here will override any specified in a config file.
+        # Prefix the list here with "+" to use these queries and those in the config file.
+        # queries: ./path/to/local/query, your-org/your-repo/queries@main
+
+    # Autobuild attempts to build any compiled languages  (C/C++, C#, or Java).
+    # If this step fails, then you should remove it and run the build manually (see below)
+    - name: Autobuild
+      uses: github/codeql-action/autobuild@v1
+
+    # ℹ️ Command-line programs to run using the OS shell.
+    # 📚 https://git.io/JvXDl
+
+    # ✏️ If the Autobuild fails above, remove it and uncomment the following three lines
+    #    and modify them (or add more) to build your code if your project
+    #    uses a compiled language
+
+    #- run: |
+    #   make bootstrap
+    #   make release
+
+    - name: Perform CodeQL Analysis
+      uses: github/codeql-action/analyze@v1

.gitignore

@@ -0,0 +1,112 @@
+# 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
+NOTES
+align32.h
+args.h
+cal/.all
+calc
+calc.1
+calc.usage
+calcerr.c
+calcerr.h
+charbit.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/libcustcalc*
+endian
+endian_calc.h
+fposval.h
+have_arc4random.h
+have_ban_pragma.h
+have_const.h
+have_environ.h
+have_fpos.h
+have_fpos_pos.h
+have_getpgid.h
+have_getprid.h
+have_getsid.h
+have_gettime.h
+have_limits.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_strlcat.h
+have_strlcpy.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/releases
+help/resource
+help/type
+help/usage
+libcalc*
+libcustcalc*
+longbits
+longbits.h
+Makefile.our
+sample_many
+sample_rand
+tags
+terminal.h
+ver_calc
+win32/
+
+# 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
-   HOWTO.INSTALL
-   BUGS (this file)
+    README.FIRST
+    HOWTO.INSTALL
+    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:
 
@@ -15,71 +15,161 @@ 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.
+Look for the latest release on GitHub:
+
+    https://github.com/lcn2/calc/releases
+
+Just below latest GitHub release sectiop is something called:
+
+    > Assets
+
+Click in the triangle to open up the Assets then click on
+the approptiate package to download.
+
 If you made and modifications to calc beyond the simple Makefile
-configuration, try backing them out and see if things get better.
+configuration, try backing those changges out and see if things get
+better.
 
-To be sure that your version of calc is up to date, check out:
-
-	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,
+then it may be time to send in a bug report.
 
 =-=
 
-If you have tried all of the above and things still are not right,
-then it may be time to send in a bug report.  You can send bug
-and bug fixes reports to:
+If you encounter a warning or error in compiling, or if you
+find a calc bug and you wish to send is a fix, we recommend
+that you submit your change using the GitHub pull request:
 
-    calc-bugs at asthe dot com
+    https://github.com/lcn2/calc/pulls
 
-    [[ NOTE: Replace 'at' with @, 'dot' is with . and remove the spaces ]]
-    [[ NOTE: The EMail address uses 'asthe', the web site URL uses 'isthe' ]]
+=-=
 
-Your subject must contain the words:
+If you just want to send us a bug report, we recommend
+doing so via the GitHub issue process:
 
-       calc bug report
+    https://github.com/lcn2/calc/issues
 
-You may have additional words in your subject line.
+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:
 
-When you send your report, please include the following information:
+    I have this issue too
 
-    * a description of the problem
-    * 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:
+If you don't see your issue addressed, then on the above
+GitHub web page, click on this button:
 
-	make debug > debug.out 2>&1		(sh, ksh, bash users)
-	make debug >& debug.out			(csh, tcsh users)
+    ((New Issue))
 
-      and send the contents of the 'debug.out' file.
+=-=
 
-Stack traces from core dumps are useful to send as well.
+If you prefer to not use GitHub, then you
+may send bug and bug fixes reports to:
 
-Fell free to use the above address to send in big fixes (in the form
+    calc-bugrept-mail at asthe dot com
+
+    NOTE: Remove spaces and replace 'at' with @, 'dot' with .
+
+    NOTE: This replaces the old calc-bugs at asthe dot com address.
+
+PLEASE put following the SPECIAL PHRASE somewhere in your Email Subject line:
+
+    calc bug report
+
+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:
+
+    The output of the alg_config.cal resource file is bogus.
+    We would welcome a replacement for this code.
+
+    Calc may not compile natively under Windows 11. See README.WINDOWS.
 
     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.
 
 =-=
 
 mis-features in calc:
 
-    Some problems are not bugs but rarther mis-features / things that could
+    Some problems are not bugs but rather mis-features / things that could
     work better.  The following is a list of mis-features that should be
     addressed and improved someday.
 
+    * When statement is of the form { ... }, the leading { MUST BE ON
+      THE SAME LINE as the if, for, while or do keyword.
+
+      This works as expected:
+
+	if (expr) {
+	    ...
+	}
+
+      However this WILL NOT WORK AS EXPECTED:
+
+	if (expr)
+	{
+	    ...
+	}
+
+      This needs to be changed.  See also "help statement", "help unexpected",
+      and "help todo".
+
     * The chi.cal resource file does not work well with odd degrees
       of freedom.  Can someone improve this algorithm?
 
@@ -104,28 +194,7 @@ mis-features in calc:
 
 =-=
 
-Problems with old systems that have known work-a-rounds:
-
-    * There is a bug in gcc-2.95 that causes calc, when compiled with -O2,
-      to fail the regression test.  The work-a-round is to compile with -O
-      or to use gcc-2.96 or later.
-
-    * There are problems compiling calc on the sparcv9 under 64 bit
-      Solaris.	On that platform, gcc-2.96 is able to compile calc, but
-      calc dumps core very early on in startup.	 It is said that sparcv9
-      support in gcc-2.96 is very unofficial and thus there is no
-      work-a-round for gcc-2-96.
-
-      There is a work-a-round for this architecture us one is using the
-      Solaris CC on the sparcv9.  It has been reported that setting the
-      following Makefile variables will produce a working version of
-      calc on the sparcv9 under 64 bit Solaris:
-
-	    LCC="cc -xarch=v9"
-	    CCWARN="-DFORCE_STDC -w"
-	    DEBUG="-fast -xarch=v9"
-
-## Copyright (C) 1999-2006  Landon Curt Noll
+## 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
@@ -139,11 +208,7 @@ Problems with old systems that have known work-a-rounds:
 ## 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.
-## 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
-##
-## @(#) $Revision: 29.25 $
-## @(#) $Id: BUGS,v 29.25 2006/08/20 17:51:25 chongo Exp $
-## @(#) $Source: /usr/local/src/cmd/calc/RCS/BUGS,v $
+## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 ##
 ## Under source code control:	1994/03/18 14:06:13
 ## File existed as early as:	1994

CODE_OF_CONDUCT.md

@@ -0,0 +1,128 @@
+# Contributor Covenant Code of Conduct
+
+## Our Pledge
+
+We as members, contributors, and leaders pledge to make participation in our
+community a harassment-free experience for everyone, regardless of age, body
+size, visible or invisible disability, ethnicity, sex characteristics, gender
+identity and expression, level of experience, education, socio-economic status,
+nationality, personal appearance, race, religion, or sexual identity
+and orientation.
+
+We pledge to act and interact in ways that contribute to an open, welcoming,
+diverse, inclusive, and healthy community.
+
+## Our Standards
+
+Examples of behavior that contributes to a positive environment for our
+community include:
+
+* Demonstrating empathy and kindness toward other people
+* Being respectful of differing opinions, viewpoints, and experiences
+* Giving and gracefully accepting constructive feedback
+* Accepting responsibility and apologizing to those affected by our mistakes,
+  and learning from the experience
+* Focusing on what is best not just for us as individuals, but for the
+  overall community
+
+Examples of unacceptable behavior include:
+
+* The use of sexualized language or imagery, and sexual attention or
+  advances of any kind
+* Trolling, insulting or derogatory comments, and personal or political attacks
+* Public or private harassment
+* Publishing others' private information, such as a physical or email
+  address, without their explicit permission
+* Other conduct which could reasonably be considered inappropriate in a
+  professional setting
+
+## Enforcement Responsibilities
+
+Community leaders are responsible for clarifying and enforcing our standards of
+acceptable behavior and will take appropriate and fair corrective action in
+response to any behavior that they deem inappropriate, threatening, offensive,
+or harmful.
+
+Community leaders have the right and responsibility to remove, edit, or reject
+comments, commits, code, wiki edits, issues, and other contributions that are
+not aligned to this Code of Conduct, and will communicate reasons for moderation
+decisions when appropriate.
+
+## Scope
+
+This Code of Conduct applies within all community spaces, and also applies when
+an individual is officially representing the community in public spaces.
+Examples of representing our community include using an official e-mail address,
+posting via an official social media account, or acting as an appointed
+representative at an online or offline event.
+
+## Enforcement
+
+Instances of abusive, harassing, or otherwise unacceptable behavior may be
+reported to the community leaders responsible for enforcement at
+https://github.com/lcn2/calc/blob/master/QUESTIONS.
+All complaints will be reviewed and investigated promptly and fairly.
+
+All community leaders are obligated to respect the privacy and security of the
+reporter of any incident.
+
+## Enforcement Guidelines
+
+Community leaders will follow these Community Impact Guidelines in determining
+the consequences for any action they deem in violation of this Code of Conduct:
+
+### 1. Correction
+
+**Community Impact**: Use of inappropriate language or other behavior deemed
+unprofessional or unwelcome in the community.
+
+**Consequence**: A private, written warning from community leaders, providing
+clarity around the nature of the violation and an explanation of why the
+behavior was inappropriate. A public apology may be requested.
+
+### 2. Warning
+
+**Community Impact**: A violation through a single incident or series
+of actions.
+
+**Consequence**: A warning with consequences for continued behavior. No
+interaction with the people involved, including unsolicited interaction with
+those enforcing the Code of Conduct, for a specified period of time. This
+includes avoiding interactions in community spaces as well as external channels
+like social media. Violating these terms may lead to a temporary or
+permanent ban.
+
+### 3. Temporary Ban
+
+**Community Impact**: A serious violation of community standards, including
+sustained inappropriate behavior.
+
+**Consequence**: A temporary ban from any sort of interaction or public
+communication with the community for a specified period of time. No public or
+private interaction with the people involved, including unsolicited interaction
+with those enforcing the Code of Conduct, is allowed during this period.
+Violating these terms may lead to a permanent ban.
+
+### 4. Permanent Ban
+
+**Community Impact**: Demonstrating a pattern of violation of community
+standards, including sustained inappropriate behavior,  harassment of an
+individual, or aggression toward or disparagement of classes of individuals.
+
+**Consequence**: A permanent ban from any sort of public interaction within
+the community.
+
+## Attribution
+
+This Code of Conduct is adapted from the [Contributor Covenant][homepage],
+version 2.0, available at
+https://www.contributor-covenant.org/version/2/0/code_of_conduct.html.
+
+Community Impact Guidelines were inspired by [Mozilla's code of conduct
+enforcement ladder](https://github.com/mozilla/diversity).
+
+[homepage]: https://www.contributor-covenant.org
+
+For answers to common questions about this code of conduct, see the FAQ at
+https://www.contributor-covenant.org/faq. Translations are available at
+https://www.contributor-covenant.org/translations.

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/

CONTRIBUTING.md

@@ -0,0 +1,7 @@
+# How to contribue code to calc
+
+## CONTRIB-CODE
+
+See the file
+<A HREF="https://github.com/lcn2/calc/blob/master/CONTRIB-CODE">CONTRIB-CODE</A>
+for how to contribue code to calc.

COPYING

@@ -6,17 +6,13 @@ This file is Copyrighted
 
     This file is covered under the following Copyright:
 
-	Copyright (C) 1999  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: 29.8 $
-    # @(#) $Id: COPYING,v 29.8 2006/05/01 19:16:57 chongo Exp $
-    # @(#) $Source: /usr/local/src/cmd/calc/RCS/COPYING,v $
-
-=-=
+-=-
 
 Calc is covered by the GNU Lesser General Public License
 --------------------------------------------------------
@@ -45,56 +41,14 @@ Calc is covered by the GNU Lesser General Public License
     Public License by the calc command:			help copying-lgpl
 
     You should have received a copy of the version 2.1 GNU Lesser General
-    Public License with calc; if not, write to:
+    Public License with calc; if not, write to the following address:
 
 	    Free Software Foundation, Inc.
-	    59 Temple Place
-	    Suite 330
-	    Boston, MA	02111-1307
+	    51 Franklin Street
+	    Fifth Floor
+	    Boston, MA  02110-1301
 	    USA
 
-    The contact addresses for calc is as follows:
-
-	Web:	http://www.isthe.com/chongo/tech/comp/calc/email.html
-
-    To join the low volume calc mailing list.  Send a EMail message to:
-
-	calc-tester-request at asthe dot com
-
-    Your subject must contain the words:
-
-	calc mailing list subscription
-
-    You may have additional words in your subject line.
-
-    Your message body (not the subject) should consist of:
-
-	 subscribe calc-tester address
-	 end
-	 name your_full_name
-
-    where ``address'' is your EMail address and ``your_full_name'' is
-    your full name.
-
-    Feel free to follow the name line with additional EMail text as desired.
-
-=-=
-
-    Calc bug reports and calc bug fixes should be sent to:
-
-	calc-bugs at asthe dot com
-
-    [[ NOTE: Replace 'at' with @, 'dot' is with . and remove the spaces ]]
-    [[ NOTE: The EMail address uses 'asthe' and the web site URL uses 'isthe' ]]
-
-    Your subject must contain the words:
-
-	   calc bug report
-
-    You may have additional words in your subject line.
-
-=-=
-
 Calc's relationship to the GNU Lesser General Public License
 ------------------------------------------------------------
 
@@ -149,7 +103,7 @@ Calc's relationship to the GNU Lesser General Public License
      except for the exception files explicitly listed in the ``Calc
      copyrights and exception files'' section below.
 
-=-=
+-=-
 
 Calc copyrights and exception files
 -----------------------------------
@@ -165,12 +119,12 @@ Calc copyrights and exception files
 	Copyright (C) year  Ernest Bowen and Landon Curt Noll
 	Copyright (C) year  Ernest Bowen
 	Copyright (C) year  Petteri Kettunen and Landon Curt Noll
+	Copyright (C) year  Christoph Zurnieden
 
     These files are not covered under one of the Copyrights listed above:
 
-	    shs1.c	    shs1.h	 shs.c		shs.h
-	    md5.c	    md5.h	 COPYING	COPYING-LGPL
-	    cal/qtime.cal   cal/screen.cal
+	    sha1.c		sha1.h		COPYING
+	    COPYING-LGPL	cal/qtime.cal	cal/screen.cal
 
     The file COPYING-LGPL, which contains a copy of the version 2.1
     GNU Lesser General Public License, is itself Copyrighted by the
@@ -182,15 +136,14 @@ Calc copyrights and exception files
     top of this file.  It is important to note that you may distribute
     verbatim copies of this file but you may not modify this file.
 
-    Some of these exception files are in the public domain.  Other
-    exception files have non-LGPL Copyrights.  Other files are under a
-    LGPL Copyright but have different authors.
+    Some of these exception files are in the public domain.  Other files
+    are under the LGPL but have different authors that those listed above.
 
     In all cases one may use and distribute these exception files freely.
     And because one may freely distribute the LGPL covered files, the
     entire calc source may be freely used and distributed.
 
-=-=
+-=-
 
 General Copyleft and License info
 ---------------------------------
@@ -204,7 +157,7 @@ General Copyleft and License info
 	http://www.gnu.org/copyleft/lesser.html
 	http://www.gnu.org/copyleft/lesser.txt
 
-=-=
+-=-
 
 Why calc did not use the GNU General Public License
 ---------------------------------------------------

COPYING-LGPL

@@ -1,8 +1,8 @@
-		  GNU LESSER GENERAL PUBLIC LICENSE
-		       Version 2.1, February 1999
+                  GNU LESSER GENERAL PUBLIC LICENSE
+                       Version 2.1, February 1999
 
  Copyright (C) 1991, 1999 Free Software Foundation, Inc.
-     59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
+ 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
  Everyone is permitted to copy and distribute verbatim copies
  of this license document, but changing it is not allowed.
 
@@ -10,7 +10,7 @@
  as the successor of the GNU Library Public License, version 2, hence
  the version number 2.1.]
 
-			    Preamble
+                            Preamble
 
   The licenses for most software are designed to take away your
 freedom to share and change it.  By contrast, the GNU General Public
@@ -112,7 +112,7 @@ modification follow.  Pay close attention to the difference between a
 former contains code derived from the library, whereas the latter must
 be combined with the library in order to run.
 
-		  GNU LESSER GENERAL PUBLIC LICENSE
+                  GNU LESSER GENERAL PUBLIC LICENSE
    TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
 
   0. This License Agreement applies to any software library or other
@@ -146,7 +146,7 @@ such a program is covered only if its contents constitute a work based
 on the Library (independent of the use of the Library in a tool for
 writing it).  Whether that is true depends on what the Library does
 and what the program that uses the Library does.
-  
+
   1. You may copy and distribute verbatim copies of the Library's
 complete source code as you receive it, in any medium, provided that
 you conspicuously and appropriately publish on each copy an
@@ -432,7 +432,7 @@ decision will be guided by the two goals of preserving the free status
 of all derivatives of our free software and of promoting the sharing
 and reuse of software generally.
 
-			    NO WARRANTY
+                            NO WARRANTY
 
   15. BECAUSE THE LIBRARY IS LICENSED FREE OF CHARGE, THERE IS NO
 WARRANTY FOR THE LIBRARY, TO THE EXTENT PERMITTED BY APPLICABLE LAW.
@@ -455,7 +455,7 @@ FAILURE OF THE LIBRARY TO OPERATE WITH ANY OTHER SOFTWARE), EVEN IF
 SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH
 DAMAGES.
 
-		     END OF TERMS AND CONDITIONS
+                     END OF TERMS AND CONDITIONS
 
            How to Apply These Terms to Your New Libraries
 
@@ -476,7 +476,7 @@ convey the exclusion of warranty; and each file should have at least the
     This library is free software; you can redistribute it and/or
     modify it under the terms of the GNU Lesser General Public
     License as published by the Free Software Foundation; either
-    version 2 of the License, or (at your option) any later version.
+    version 2.1 of the License, or (at your option) any later version.
 
     This library is distributed in the hope that it will be useful,
     but WITHOUT ANY WARRANTY; without even the implied warranty of
@@ -485,7 +485,8 @@ convey the exclusion of warranty; and each file should have at least the
 
     You should have received a copy of the GNU Lesser General Public
     License along with this library; if not, write to the Free Software
-    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
+    Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301
+    USA
 
 Also add information on how to contact you by electronic and paper mail.
 
@@ -500,5 +501,3 @@ necessary.  Here is a sample; alter the names:
   Ty Coon, President of Vice
 
 That's all there is to it!
-
-

HOWTO.INSTALL

@@ -1,10 +1,23 @@
-Installing calc from the gziped tarball in 4 easy steps:
 
-    0)  If your platform supports i686 RPMs, you may want to go to:
+IMPORTANT: Please see the section at the bottom of this file for
+	   some important information on Makefiles used in calc.
 
-	    http://www.isthe.com/chongo/src/calc/
+###################################################################
+# IMPORTANT: DO NOT use make in parallel mode!!!		  #
+###################################################################
+# Unfortunately due to the complex dependency issues between	  #
+# Makefile, Makefile.ship and custom/Makefile, parallel make      #
+# is NOT recommended.  Sorry (tm Canada) :)			  #
+###################################################################
 
-	and use these RPMs:
+Installing calc from the bzip2-ed tarball: 4 easy steps:
+
+    (0) If your platform supports i686 RPMs, you may want to go to:
+
+	    https://github.com/lcn2/calc/releases
+
+	Open up the 'Assets' tag below a given release and
+	download these RPMs:
 
 	    * calc*.i686.rpm
 		- all that is needed if you just want to use calc
@@ -13,29 +26,162 @@ Installing calc from the gziped tarball in 4 easy steps:
 	        - calc *.h header and *.a lib files for use in other programs
 
 	    * calc.*.src.rpm
-	        - calc source in RPM package form
+	        - calc source via a SRPM package
 
-	The following 4 steps apply to calc source tree that comes from either:
+	Alternately to the above github link, you might try looking at
+	the RPMs under:
 
-		gunzip -c calc-*.tar.gz | tar -xvf -
+	    http://www.isthe.com/chongo/src/calc/
 
-	or from:
+=-=
 
-		rpm -ivh calc-*.src.rpm
-		cd /var/tmp
-		gunzip -c /usr/src/redhat/SOURCES/calc-*.tar.gz | tar -xvf -
+The following 4 steps apply to calc source tree that comes from either:
 
-    1)	Look at the makefile, and adjust it to suit your needs.
+	bunzip2 -c calc-*.tar.bz2 | tar -xvf -
+
+or from:
+
+	rpm -ivh calc-*.src.rpm
+	cd /var/tmp
+	bunzip2 -c /usr/src/redhat/SOURCES/calc-*.tar.bz2 | tar -xvf -
+
+4 steps:
+
+(1)	Look at the makefile, and adjust it to suit your needs.
+
+	The top level Makefile and the custom/Makefile require a modern
+	Make (such as gmake) or an equivalently advanced make.	On many
+	targets, the default make is sufficient.  On FreeBSD for example,
+	probably want to use gmake instead of make.
+
+	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+	! By default, calc assumes you have the readline package installed !
+	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+	! macOS does not have readline, so mac users need to make a choice !
+	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+
+	The readline package (-lreadline, -lhistory, -lncurses) used by and
+	linked into calc by default.  If your system does NOT have those
+	libaraies, then you have two options:
+
+	(1-with readline) Install the readline package 		<- Recommended
+
+	    Install the readline package first, then compile calc.
+
+	    For information on the readline package, see:
+
+		https://tiswww.case.edu/php/chet/readline/rltop.html
+
+	    MacOS users can use MacPorts or HomeBrew to install readline:
+
+		https://www.macports.org
+		https://brew.sh
+
+	    Or compile from the readline.git repo:
+
+		http://git.savannah.gnu.org/cgit/readline.git/
+
+	(1-w/o readline) Compile calc without readline 	(not recommended)
+
+	    Why do we not recommend (1b)?  Because using calc with readline
+	    provides a beter user experience.
+
+	    If you feel you must use calc without the readline package, then you
+	    will need to change your calc Makefile with this patch:
+
+--- Makefile.old	2021-12-29 14:57:56.000000000 -0800
++++ Makefile	2021-12-29 14:59:13.000000000 -0800
+@@ -1140,14 +1140,14 @@
+ #
+ # If in doubt, set USE_READLINE, READLINE_LIB and READLINE_INCLUDE to nothing.
+ #
+-#USE_READLINE=
+-USE_READLINE= -DUSE_READLINE
++USE_READLINE=
++#USE_READLINE= -DUSE_READLINE
+ #
+-#READLINE_LIB=
+-#READLINE_EXTRAS=
++READLINE_LIB=
++READLINE_EXTRAS=
+ #
+-READLINE_LIB= -lreadline
+-READLINE_EXTRAS= -lhistory -lncurses
++#READLINE_LIB= -lreadline
++#READLINE_EXTRAS= -lhistory -lncurses
+ #
+ #READLINE_LIB= -L/usr/gnu/lib -lreadline
+ #READLINE_EXTRAS= -lhistory -lncurses
+@@ -1181,8 +1181,8 @@
+ # # and using the readline, history, and ncurses libraries.
+ # #
+ ifneq ($(HOMEBREW_PREFIX),)
+-READLINE_LIB:= -L${HOMEBREW_PREFIX}/opt/readline/lib -lreadline
+-READLINE_INCLUDE:= -I${HOMEBREW_PREFIX}/opt/readline/include
++#READLINE_LIB:= -L${HOMEBREW_PREFIX}/opt/readline/lib -lreadline
++#READLINE_INCLUDE:= -I${HOMEBREW_PREFIX}/opt/readline/include
+ endif
+ #
+ #endif  /* end of skip for non-Gnu makefiles */
+
+	    If your target system does not have a modern Makefile
+	    (such as gmake), then you will need to change your
+	    Makefile.simple with this patch:
+
+--- Makefile.simple.orig	2021-12-29 15:00:53.000000000 -0800
++++ Makefile.simple	2021-12-29 15:01:00.000000000 -0800
+@@ -1005,14 +1005,14 @@
+ #
+ # If in doubt, set USE_READLINE, READLINE_LIB and READLINE_INCLUDE to nothing.
+ #
+-#USE_READLINE=
+-USE_READLINE= -DUSE_READLINE
++USE_READLINE=
++#USE_READLINE= -DUSE_READLINE
+ #
+-#READLINE_LIB=
+-#READLINE_EXTRAS=
++READLINE_LIB=
++READLINE_EXTRAS=
+ #
+-READLINE_LIB= -lreadline
+-READLINE_EXTRAS= -lhistory -lncurses
++#READLINE_LIB= -lreadline
++#READLINE_EXTRAS= -lhistory -lncurses
+ #
+ #READLINE_LIB= -L/usr/gnu/lib -lreadline
+ #READLINE_EXTRAS= -lhistory -lncurses
+
+	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+	! By default, calc assumes you are using a modern gnu-like make tool !
+	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+
+	If your target system does not have a modern Makefile (such as gmake),
+	then you should try using the Makefile.simple and custom/Makefile.simple
+	files:
+
+	    mv Makefile Makefile.gmake
+	    cp Makefile.simple Makefile
+	    mv custom/Makefile custom/Makefile.gmake
+	    cp custom/Makefile.simple custom/Makefile
 
 	The Makefile, as shipped, is suitable for installation under
 	Linux and Un*x-like environments.  For the most part, the default
 	values should work.  If in doubt, follow the 'When in doubt'
 	suggestion.
 
-	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-	! If you are building under Windoz or a Windoz-like environment !
-	! (such as Cygwin or DJGPP), read the README.WINDOWS file.      !
-	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+	If you are using a modern make (such as gmake), you may override
+	any values set in the Makefile by adding them to Makefile.local
+	using the := directive.  For example:
+
+	    HAVE_STRING_H:= YES
+	    HAVE_TIMES_H:= YES
+	    SED:= /usr/local/bin/nsed
+
+	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+	! If you are building under Windows or a Windows-like environment !
+	! (such as Cygwin or DJGPP), read the README.WINDOWS file.        !
+	!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
 
 	You should determine if these Makefile variables are reasonable:
 
@@ -43,7 +189,7 @@ Installing calc from the gziped tarball in 4 easy steps:
 	    BINDIR		Where to install calc binary files.
 	    LIBDIR		Where to install calc link library (*.a) files.
 	    CALC_SHAREDIR	Where to install calc help, .cal, startup, and
-	    			config files.
+				config files.
 
 	You may want to change the default installation locations for
 	these values, which are based on the 4 values listed above:
@@ -52,25 +198,25 @@ Installing calc from the gziped tarball in 4 easy steps:
 	    CALC_INCDIR        where the calc include files are installed
 	    CUSTOMCALDIR       where custom *.cal files are installed
 	    CUSTOMHELPDIR      where custom help files are installed
-	    CUSTOMINCPDIR      where custom .h files are installed
+	    CUSTOMINCDIR       where custom .h files are installed
 	    SCRIPTDIR          where calc shell scripts are installed
 
 	If you want to install calc files under a top level directory,
 	then set the T value:
 
-	    The calc install is performed under $T, the calc build is
-	    performed under /.	The purpose for $T is to allow someone
+	    The calc install is performed under ${T}, the calc build is
+	    performed under /.	The purpose for ${T} is to allow someone
 	    to install calc somewhere other than into the system area.
 
 	    For example, if:
 
-	    	BINDIR= /usr/bin
+		BINDIR= /usr/bin
 		LIBDIR= /usr/lib
 		CALC_SHAREDIR= /usr/share/calc
 
 	    and if:
 
-	    	T= /var/tmp/testing
+		T= /var/tmp/testing
 
 	    Then the installation locations will be:
 
@@ -79,10 +225,10 @@ Installing calc from the gziped tarball in 4 easy steps:
 		calc help, .cal ...:	/var/tmp/testing/usr/share/calc
 		... etc ...		/var/tmp/testing/...
 
-	    If $T is empty, calc is installed under /, which is the same
-	    top of tree for which it was built.  If $T is non-empty, then
-	    calc is installed under $T, as if one had to chroot under
-	    $T for calc to operate.
+	    If ${T} is empty, calc is installed under /, which is the same
+	    top of tree for which it was built.  If ${T} is non-empty, then
+	    calc is installed under ${T}, as if one had to chroot under
+	    ${T} for calc to operate.
 
 	Look for the section that starts:
 
@@ -96,7 +242,7 @@ Installing calc from the gziped 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
 
@@ -124,7 +270,21 @@ Installing calc from the gziped tarball in 4 easy steps:
 
 	   Adjust other Makefile variables as needed.
 
-    2)	build calc:
+    (2)	build calc:
+
+	The top level Makefile and the custom/Makefile require a GNU
+	Make (such as gmake) or an equivalently advanced make.	On many
+	targets, the default make is sufficient.  On FreeBSD for example,
+	one must use gmake instead of make.
+
+	If your target system does not have GNU Make (or equivalent), then
+	you should try using the Makefile.simple and custom/Makefile.simple
+	files:
+
+	    mv Makefile Makefile.gmake
+	    cp Makefile.simple Makefile
+	    mv custom/Makefile custom/Makefile.gmake
+	    cp custom/Makefile.simple custom/Makefile
 
 	make all
 
@@ -132,21 +292,204 @@ Installing calc from the gziped tarball in 4 easy steps:
 	    you may find.  See the BUGS file if you find any compiler
 	    warning or errors.
 
-    3)	test calc:
+	NOTE: You can force calc to build with only static libs:
 
-	make check
+		make clobber
+		make calc-static-only BLD_TYPE=calc-static-only
 
-	==> If you run into problems, read the BUGS file and follow
-	    the instructions found in there.
+	      or force calc to build with only dynamic libs:
 
-    4)	install calc:
+		make clobber
+		make calc-dynamic-only BLD_TYPE=calc-dynamic-only
 
-	make install
+    (3)	test calc:
 
-We suggest that you might want to read the README file and look at
-the calc help subsystem.  See the README file for details.
+	    make check
 
-## Copyright (C) 1999  Landon Curt Noll
+	NOTE: For a quiet check which only prints if something goes wrong:
+
+	    make chk
+
+    (4)	install calc:
+
+	    make install
+
+We suggest that you might want to read the README.FIRST file and look at
+the calc help subsystem.  See also the README.md file.
+
+In general, if you run into problems, read the BUGS file and follow
+the instructions.
+
+=-=
+
+On calc Makefiles:
+
+How to tell the origin of of a Makefile:
+
+    The "# SRC: ... - ..." comment line near the top
+    of the file indicates the origin of this file.
+    In each segment below, we indicate what the SRC
+    comment like will read.
+
+SHELL= ...
+
+    On some systems, /bin/sh is a rather reduced shell with
+    deprecated behavior.
+
+    If your system has a up to date, bash shell, then
+    you may wish to edit the Makefile to use:
+
+	    SHELL= /bin/bash
+
+    On some systems such as macOS, the bash shell is very
+    far behind to the point where is cannot be depended on.
+    On such systems, the sh may be a much better alternative
+    shell for this Makefile to use:
+
+	    SHELL= /bin/sh
+
+Makefile.local
+
+    # SRC: Makefile.local - tweaks to the top level Makefile
+
+    Between releases, Makefile.local at the top of the master branch
+    will contain how we typically build calc and test calc (FYI: we
+    normally enable things such as -Werror -Wextra -pedantic).  When we
+    push out a release, Makefile.local will be stripped of non-comment
+    lines.  Thus, releases of calc, and, released "calc*.src.rpm"
+    files and the source tarballs, will have a Makefile.local with
+    only comments.
+
+    If the Makefile is not suitable for you (say because you fetch it
+    from the top of the master branch between releases), then you may
+    wish to remove all non-comment lines.  I.e., lines that do not start
+    with the # character.
+
+    This Makefile.local assumes you have a modern make command such as
+    the GNU make.  See Makefile.simple comment below if you do not
+    have such a modern make command.
+
+    In the calc GitHub repo, Makefile is the calc build environment
+    and Makefile.ship is the top level Makefile:
+
+	https://github.com/lcn2/calc
+
+Makefile
+
+    # SRC: Makefile.ship - top level Makefile
+
+    This is the main top level Makefile.
+
+    In calc packages such as RPMs, and the tar.bz2 source tarball,
+    Makefile.ship has been moved into Makefile.
+
+    In the calc GitHub repo, Makefile is the calc build environment
+    and Makefile.ship is the top level Makefile:
+
+	https://github.com/lcn2/calc
+
+    The Makefile.simple rule of Makefile.ship, when forming the
+    Makefile.simple file, removes lines from Makefile.ship between
+    pairs of '#if 0' AND '#endif':
+
+	#if 0
+	lines removed when forming Makefile.simple
+	...
+	lines removed when forming Makefile.simple
+	#endif
+
+    The '#if 0' AND '#endif' MUST be at the start of the line.
+    Any text after the '#if 0' OR '#endif' is ignored.
+
+    While they may look like a CPP directives, they are not.  The
+    inline awk script of the Makefile.simple rule does NOT allow
+    them to nest:
+
+	#if 0 /* DO NOT DO THIS */
+	lines removed when forming Makefile.simple
+	...
+	#if 0 /* DO NOT DO THIS */
+	...
+	#endif /* DO NOT DO THIS */
+	...
+	#endif /* DO NOT DO THIS */
+
+Makefile.simple
+
+    # SRC: Makefile.simple - non-GNU version
+
+    This is a non-GNU or simple Makefile designed for environments
+    that do not have a modern make command.
+
+    If you have a Makefile.simple file, use these commands to
+    form a Makefile:
+
+	if [ -f Makefile ]; then mv -f Makefile Makefile.orig; fi
+	cp Makefile.simple Makefile
+
+    The Makefile.simple rule from Makefile.ship is used to construct
+    this file from the contents of Makefile.ship.
+
+    In calc packages such as RPMs, and the tar.bz2 source the
+    Makefile.simple exists.  In the calc GitHub repo:
+
+	https://github.com/lcn2/calc
+
+    this file does NOT exist and must be made via the Makefile.simple
+    make rule.  Therefore, non-GNU and simple make commands are NOT
+    supported by the calc GitHub repo master branch.  Instead, you
+    need to extract Makefile.simple from one of the calc tar.bz2
+    source tarball source from a calc source mirror:
+
+	http://www.isthe.com/chongo/tech/comp/calc/calc-mirror.html
+
+custom/Makefile
+
+    # SRC: Makefile via make -f Makefile custom/Makefile
+
+    This is the custom directory Makefile.
+
+custom/Makefile.simple
+
+    # SRC: custom/Makefile.simple - non-GNU version
+
+    This is a non-GNU or simple Makefile for the custom directory
+    that is designed for environments that do not have a modern make
+    command.
+
+    In calc packages such as RPMs, and the tar.bz2 source the
+    Makefile.simple exists.  In the calc GitHub repo:
+
+	https://github.com/lcn2/calc
+
+    this file does NOT exist and must be made via the
+    custom/Makefile.simple make rule.  Therefore, non-GNU and simple
+    make commands are NOT supported by the calc GitHub repo master
+    branch.  Instead, you need to extract custom/Makefile.simple
+    from one of the calc tar.bz2 source tarball source from a calc
+    source mirror:
+
+	http://www.isthe.com/chongo/tech/comp/calc/calc-mirror.html
+
+cal/Makefile
+
+    # SRC: cal/Makefile
+
+    The Makefile for the cal sub-directory.
+
+cscript/Makefile
+
+    # SRC: cscript/Makefile
+
+    The Makefile for the cscript sub-directory.
+
+help/Makefile
+
+    # SRC: help/Makefile
+
+    The Makefile for the help sub-directory.
+
+## 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
@@ -160,11 +503,7 @@ the calc help subsystem.  See the README file for 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.
-## 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
-##
-## @(#) $Revision: 29.7 $
-## @(#) $Id: HOWTO.INSTALL,v 29.7 2003/04/15 03:38:34 chongo Exp $
-## @(#) $Source: /usr/local/src/cmd/calc/RCS/HOWTO.INSTALL,v $
+## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 ##
 ## Under source code control:	1999/09/27 20:48:44
 ## File existed as early as:	1999

LIBRARY

@@ -58,13 +58,18 @@ External programs most likely want to use the installed calc header
 files under ${INCDIRCALC}.  External programs most likely NOT want
 to define CALC_SRC.
 
+You need to include the following file to get the symbols and variables
+related to error handling:
+
+	lib_calc.h
+
 External programs may want to compile with:
 
-	-L${LIBDIR} -lcalc
+	-I${INCDIR} -L${LIBDIR} -lcalc
 
 If custom functions are also used, they may want to compile with:
 
-	-L${LIBDIR} -lcalc -lcustcalc
+	-I${INCDIR} -L${LIBDIR} -lcalc -lcustcalc
 
 The CALC_SRC symbol should NOT be defined by default.  However if you are
 feeling pedantic you may want to force CALC_SRC to be undefined:
@@ -73,71 +78,215 @@ feeling pedantic you may want to force CALC_SRC to be undefined:
 
 as well.
 
---------------
-ERROR HANDLING
---------------
+-------------------
+MATH ERROR HANDLING
+-------------------
 
-Your program MUST provide a function called math_error.	 This is called by
-the math routines on an error condition, such as malloc failures or a
-division by zero.  The routine is called in the manner of printf, with a
-format string and optional arguments.  (However, none of the low level math
-routines currently uses formatting, so if you are lazy you can simply use
-the first argument as a simple error string.)  For example, one of the
-error calls you might expect to receive is:
+The math_error() function is called by the math routines on an error
+condition, such as malloc failures, division by zero, or some form of
+an internal computation error.  The routine is called in the manner of
+printf, with a format string and optional arguments:
 
-	math_error("Division by zero");
+	    void math_error(char *fmt, ...);
 
-Your program can handle errors in basically one of two ways.  Firstly, it
-can simply print the error message and then exit.  Secondly, you can make
-use of setjmp and longjmp in your program.  Use setjmp at some appropriate
-level in your program, and use longjmp in the math_error routine to return
-to that level and so recover from the error.  This is what the calc program
-does.
+Your program must handle math errors in one of three ways:
 
-For convenience, the link library libcalc.a contains a math_error routine.
-By default, this routine simply prints a message to stderr and then exits.
-By simply linking in this link library, any calc errors will result in a
-error message on stderr followed by an exit.
+    1) Print the error message and then exit
 
-External programs that wish to use this math_error may want to compile with:
+	There is a math_error() function supplied with the calc library.
+	By default, this routine simply prints a message to stderr and
+	then exits.  By simply linking in this link library, any calc
+	errors will result in a error message on stderr followed by
+	an exit.
 
-	-I${LIBDIR} -L${LIBDIR} -lcalc
+    2) Use setjmp and longjmp in your program
 
-If one sets up calc_jmp_buf, and then sets calc_jmp to non-zero then
-this routine will longjmp back (with the value of calc_jmp) instead.
-In addition, the last calc error message will be found in calc_error;
-this error is not printed to stderr.  The calc error message will
-not have a trailing newline.
+	Use setjmp at some appropriate level in your program, and let
+	the longjmp in math_error() return to that level and to allow you
+	to recover from the error.  This is what the calc program does.
 
-For example:
+	If one sets up calc_matherr_jmpbuf, and then sets
+	calc_use_matherr_jmpbuf to non-zero then math_error() will
+	longjmp back with the return value of calc_use_matherr_jmpbuf.
+	In addition, the last calc error message will be found in
+	calc_err_msg; this error is not printed to stderr.  The calc
+	error message will not have a trailing newline.
 
-    #include <setjmp.h>
+	For example:
 
-    extern jmp_buf calc_jmp_buf;
-    extern int calc_jmp;
-    extern char *calc_error;
-    int error;
+	    #include <setjmp.h>
+	    #include "lib_calc.h"
 
-    ...
+	    int error;
 
-    if ((error = setjmp(calc_jmp_buf)) != 0) {
+	    ...
 
-	    /* reinitialize calc after a longjmp */
-	    reinitialize();
+	    if ((error = setjmp(calc_matherr_jmpbuf)) != 0) {
+
+		    /* report the error */
+		    printf("Ouch: %s\n", calc_err_msg);
+
+		    /* reinitialize calc after the longjmp */
+		    reinitialize();
+	    }
+	    calc_use_matherr_jmpbuf = 1;
+
+	If calc_use_matherr_jmpbuf is non-zero, then the jmp_buf value
+	calc_matherr_jmpbuf must be initialized by the setjmp() function
+	or your program will crash.
+
+    3) Supply your own math_error function:
+
+	    void math_error(char *fmt, ...);
+
+	Your math_error() function may exit or transfer control to outside
+	of the calc library, but it must never return or calc will crash.
+
+External programs can obtain the appropriate calc symbols by compiling with:
+
+	-I${INCDIR} -L${LIBDIR} -lcalc
+
+-------------------------
+PARSE/SCAN ERROR HANDLING
+-------------------------
+
+The scanerror() function is called when calc encounters a parse/scan
+error.  For example, scanerror() is called when calc is given code
+with a syntax error.
+
+The variable, calc_print_scanerr_msg, controls if calc prints to stderr,
+any parse/scan errors.  By default, this variable it set to 1 and so
+parse/scan errors are printed to stderr.  By setting this value to zero,
+parse/scan errors are not printed:
+
+	#include "lib_calc.h"
+
+	/* do not print parse/scan errors to stderr */
+	calc_print_scanerr_msg = 0;
+
+The last calc math error or calc parse/scan error message is kept
+in the NUL terminated buffer:
+
+	char calc_err_msg[MAXERROR+1];
+
+The value of calc_print_scanerr_msg does not change the use
+of the calc_err_msg[] buffer.  Messages are stored in that
+buffer regardless of the calc_print_scanerr_msg value.
+
+The calc_print_scanerr_msg and the calc_err_msg[] buffer are declared
+lib_calc.h include file.  The initialized storage for these variables
+comes from the calc library.  The MAXERROR symbol is also declared in
+the lib_calc.h include file.
+
+Your program must handle parse/scan errors in one of two ways:
+
+    1) exit on error
+
+	If you do not setup the calc_scanerr_jmpbuf, then when calc
+	encounters a parse/scan error, a message will be printed to
+	stderr and calc will exit.
+
+    2) Use setjmp and longjmp in your program
+
+	Use setjmp at some appropriate level in your program, and let
+	the longjmp in scanerror() return to that level and to allow you
+	to recover from the error.  This is what the calc program does.
+
+	If one sets up calc_scanerr_jmpbuf, and then sets
+	calc_use_scanerr_jmpbuf to non-zero then scanerror() will longjmp
+	back with the return with a non-zero code.  In addition, the last
+	calc error message will be found in calc_err_msg[]; this error is
+	not printed to stderr.	The calc error message will not have a
+	trailing newline.
+
+	For example:
+
+	    #include <setjmp.h>
+	    #include "lib_calc.h"
+
+	    int scan_error;
+
+	    ...
+
+	    /* delay the printing of the parse/scan error */
+	    calc_use_scanerr_jmpbuf = 0;	/* this is optional */
+
+	    if ((scan_error = setjmp(calc_scanerr_jmpbuf)) != 0) {
+
+		    /* report the parse/scan */
+		    if (calc_use_scanerr_jmpbuf == 0) {
+			    printf("parse error: %s\n", calc_err_msg);
+		    }
+
+		    /* initialize calc after the longjmp */
+		    initialize();
+	    }
+	    calc_use_scanerr_jmpbuf = 1;
+
+	If calc_use_scanerr_jmpbuf is non-zero, then the jmp_buf value
+	calc_scanerr_jmpbuf must be initialized by the setjmp() function
+	or your program will crash.
+
+External programs can obtain the appropriate calc symbols by compiling with:
+
+	-I${INCDIR} -L${LIBDIR} -lcalc
+
+---------------------------
+PARSE/SCAN WARNING HANDLING
+---------------------------
+
+Calc parse/scan warning message are printed to stderr by the warning()
+function.  The routine is called in the manner of printf, with a format
+string and optional arguments:
+
+	void warning(char *fmt, ...);
+
+The variable, calc_print_scanwarn_msg, controls if calc prints to stderr,
+any parse/scan warnings.  By default, this variable it set to 1 and so
+parse/scan warnings are printed to stderr.  By setting this value to zero,
+parse/scan warnings are not printed:
+
+	#include "lib_calc.h"
+
+	/* do not print parse/scan warnings to stderr */
+	calc_print_scanwarn_msg = 0;
+
+The last calc calc parse/scan warning message is kept in the NUL
+terminated buffer:
+
+	char calc_warn_msg[MAXERROR+1];
+
+The value of calc_print_scanwarn_msg does not change the use
+of the calc_warn_msg[] buffer.  Messages are stored in that
+buffer regardless of the calc_print_scanwarn_msg value.
+
+Your program must handle parse/scan warnings in one of two ways:
+
+    1) print the warning to stderr and continue
+
+	The warning() from libcalc prints warning messages to
+	stderr and returns.  The flow of execution is not changed.
+	This is what calc does by default.
+
+    2) Supply your own warning function:
+
+	    void warning(char *fmt, ...);
+
+	Your warning function should simply return when it is finished.
+
+External programs can obtain the appropriate calc symbols by compiling with:
+
+	-I${INCDIR} -L${LIBDIR} -lcalc
 
-	    /* report the error */
-	    printf("Ouch: %s\n", calc_error);
-    }
-    calc_jmp = 1;
 
 ---------------
 OUTPUT ROUTINES
 ---------------
 
-The output from the routines in the link library normally goes to stdout.  You
-can divert that output to either another FILE handle, or else to a string.
-Read the routines in zio.c to see what is available.  Diversions can be
-nested.
+The output from the routines in the link library normally goes to stdout.
+You can divert that output to either another FILE handle, or else
+to a string.  Read the routines in zio.c to see what is available.
+Diversions can be nested.
 
 You use math_setfp to divert output to another FILE handle.  Calling
 math_setfp with stdout restores output to stdout.
@@ -171,10 +320,10 @@ The arbitrary precision integer routines define a structure called a ZVALUE.
 This is defined in zmath.h.  A ZVALUE contains a pointer to an array of
 integers, the length of the array, and a sign flag.  The array is allocated
 using malloc, so you need to free this array when you are done with a
-ZVALUE.	 To do this, you should call zfree with the ZVALUE as an argument
-(or call freeh with the pointer as an argument) and never try to free the
-array yourself using free.  The reason for this is that sometimes the pointer
-points to one of two statically allocated arrays which should NOT be freed.
+ZVALUE.	 To do this, you should call zfree() with the ZVALUE as an argument
+and never try to free the array yourself using free().  The reason for this
+is that sometimes the pointer points to a statically allocated arrays which
+should NOT be freed.
 
 The ZVALUE structures are passed to routines by value, and are returned
 through pointers.  For example, to multiply two small integers together,
@@ -466,14 +615,14 @@ These have the values 0, 1, and i.
 LAST THINGS LAST
 ----------------
 
-If you wish, when you are all doen you can call libcalc_call_me_last()
+If you wish, when you are all done you can call libcalc_call_me_last()
 to free a small amount of storage associated with the libcalc_call_me_first()
 call.  This is not required, but is does bring things to a closure.
 
 The function libcalc_call_me_last() takes no args and returns void.  You
 need call libcalc_call_me_last() only once.
 
-## Copyright (C) 1999  David I. Bell and Landon Curt Noll
+## Copyright (C) 1999,2021  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
@@ -487,11 +636,7 @@ need call libcalc_call_me_last() only once.
 ## 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.
-## 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
-##
-## @(#) $Revision: 29.5 $
-## @(#) $Id: LIBRARY,v 29.5 2001/06/08 22:57:35 chongo Exp $
-## @(#) $Source: /usr/local/src/cmd/calc/RCS/LIBRARY,v $
+## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 ##
 ## Under source code control:	1993/07/30 19:44:49
 ## File existed as early as:	1993

Makefile.local

@@ -0,0 +1,39 @@
+#
+# Makefile.local - local Makefile variables
+#
+# This file is included by Makefile after the last Makefile is set and
+# before the first make rule.  This makes this file suitable to override
+# Makefile variables.
+#
+# To replace a Makefile variable, use := symbols.  For example:
+#
+#	CCWERR:= -Werror
+
+###################################################################
+# NOTE: For this and other commended out examples in this file,	  #
+# you need to remove the leading '#<whitespaces>' to take effect. #
+#								  #
+# Comments start with a #-character.				  #
+###################################################################
+
+# You can append to an existing Makefile variable using '+=' symbols.
+# For example:
+#
+#	CFLAGS+= -Ofast
+
+# For example, a AddressSanitizer.  You do NOT want to do this by
+# by default!  Do this only if you are debugging with libasan:
+#
+# For Linux gcc version 4.8.5 with libasan-4.8.5-4 you might try:
+#
+#	CDEBUG:= -O0 -g
+#	CFLAGS+= -fsanitize=address -fno-omit-frame-pointer
+#	LDFLAGS+= -fsanitize=address -fno-omit-frame-pointer
+#	CALC_ENV+= ASAN_OPTIONS=detect_stack_use_after_return=1
+#
+# For macOS 12.1 with clang version 13.0.0 (clang-1300.0.29.30) you might try:
+#
+#	CDEBUG:= -O0 -g
+#	CFLAGS+= -fsanitize=address -fno-omit-frame-pointer -fsanitize=undefined
+#	LDFLAGS+= -fsanitize=address -fno-omit-frame-pointer -fsanitize=undefined
+#	CALC_ENV+= ASAN_OPTIONS=detect_stack_use_after_return=1

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 overview
-    > help command
-    > help define
-    > help statement
-    > help variable
-    > help usage
+    ; help intro
+    ; help overview
+    ; help command
+    ; help define
+    ; help statement
+    ; help variable
+    ; 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
 
 =-=
 
@@ -71,54 +71,33 @@ or run:
 
 for a wish/todo list.  Code contributions are welcome.
 
-=-=
+-=-
 
-To join the calc-tester mailing list.  Send an EMail message to:
+If you you notice something wrong, strange or broken, see the file:
 
-    calc-tester-request at asthe dot com
+    BUGS
 
-    [[ NOTE: Replace 'at' with @, 'dot' is with . and remove the spaces ]]
-    [[ NOTE: The EMail address uses 'asthe' and the web site URL uses 'isthe' ]]
+or run:
 
-Your subject must contain the words:
+    calc help bugs
 
-    calc mailing list subscription
+for information about how to report a bug.
 
-You may have additional words in your subject line.
+-=-
 
-Your message body (not the subject) should consist of:
+If you have a general question about calc, see the file:
 
-     subscribe calc-tester address
-     end
-     name your_full_name
+    QUESTIONS
 
-where ``address'' is your EMail address and ``your_full_name'' is
-your full name.
+or run:
 
-Feel free to follow the name line with additional EMail text as desired.
+    calc help questions
 
-=-=
+for information about how to ask a question.
 
-Send Calc bug and bug fixes to:
+-=-
 
-    calc-bugs at asthe dot com
-
-    [[ NOTE: Replace 'at' with @, 'dot' is with . and remove the spaces ]]
-    [[ NOTE: The EMail address uses 'asthe' and the web site URL uses 'isthe' ]]
-
-but see the BUGS file first.
-
-Your subject must contain the words:
-
-       calc bug report
-
-You may have additional words in your subject line.
-
-The calc web site is located at:
-
-	http://www.isthe.com/chongo/tech/comp/calc/
-
-## Copyright (C) 1999  Landon Curt Noll
+## Copyright (C) 1999,2014,2017,2021  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
@@ -132,11 +111,7 @@ The calc web site is located at:
 ## 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.
-## 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
-##
-## @(#) $Revision: 29.3 $
-## @(#) $Id: README,v 29.3 2001/06/01 11:26:53 chongo Exp $
-## @(#) $Source: /usr/local/src/cmd/calc/RCS/README,v $
+## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 ##
 ## Under source code control:	1995/10/25 05:27:59
 ## File existed as early as:	1995

README.RELEASE

@@ -0,0 +1,117 @@
+On calc versions and releases
+
+Calc version numbers have 4 levels.  For example:
+
+	 ++=== top 2 levels: calc builtin functions compatibility
+	 ||
+	vvvv
+
+	2.14.0.8
+	 \\\\\\
+	^  \\\\----> top 3 levels: calc important code base change
+	|
+	+--- top version level: internal representation compatibility
+
+The top version level (e.g., 2) refers to the internal representation
+of values.  Any library or hardware linked/built for calc 2 will be able
+to use values from other 2.x.y.z versions.
+
+The top 2 levels (e.g., 2.14) refers to a specific compatible set of
+builtin functions.  Calc interpreted code (such as calc resource files)
+written for, say calc 2.14, will be able to use the same set of builtin
+functions for any other 2.14.y.z version.  Any new builtin functions or
+significant changes to existing builtin functions would be introduced in
+a later release such as version 2.15.y.z.  While calc scripts written for
+2.14.y.z will highly likely be able to run under version 2.15.y.z, any
+new builtin functions added in calc 2.15 may collide with an identically
+named used defined function.
+
+The top 3 levels (e.g., 2.14.0) change to reflect an important change to
+the code base such as a bug fix or performance improvement.  There was
+neither a change to the internal representation format (a top level
+version change), nor were there new calc builtins introduced in such
+a top 3 level release.
+
+There are 3 classes of changes to the calc source tree:
+
+alpha		=> untagged GitHub commit
+
+	Any untagged commit to the GitHub master branch should be
+	considered as alpha code that may make calc unstable.
+
+	While we try to avoid breaking the calc code with commits,
+	there is a risk that picking up such a change could
+	negatively impact the code.
+
+tested		=> tagged GitHub pre-release commit
+
+	A new version of calc has been released and has recently passed
+	regression testing on at least to different platforms and chip
+	architectures.
+
+	The "tested" class was historically called "untested",
+	however this term was misleading as such releases ARE tested.
+	Since 2.14.0.13 we have used the term "tested".
+
+	All tested releases are tagged with a new version number.
+	Such releases have GitHub assets such as a source tarball,
+	zip file, source rpm, development rpm and binary rpm.  See the
+	orange "Pre-release" GitHub releases under:
+
+	    https://github.com/lcn2/calc/releases
+
+	 At the bottom of a given release is a "> Assets" that may
+	 be opened to reveal down-loadable files.
+
+production	=> tagged GitHub release commit
+
+	A new version of calc has been released and has undergone
+	extensive testing over time over a number of platforms.
+	Sometimes a "tested" release that is found work well over
+	a period of time will be re-released with a new version
+	number as a "production" release.
+
+	The latest production GitHub release is marked with green
+	"Latest" label under:
+
+	    https://github.com/lcn2/calc/releases
+
+	A release that has neither an orange "Pre-release" nor
+	a green "Latest" label is a prior production class release.
+
+	At the bottom of a given release is a "> Assets" that may
+	be opened to reveal down-loadable files.
+
+	Production class code where stability is critical should use a
+	"production" release.
+
+A historical note and apology:
+
+In the past, some version number changes were made that did not fully
+reflect the above version number or change class.  Moreover older terms
+such as "stable" and "unstable" were misleading and did not properly
+reflect the nature of the change.  Sorry!  The purpose of this document
+is to try and bring a better level of conformity to source code updates,
+tagged releases and version numbers.
+
+## 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:	2021/12/12 19:36:26
+## 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.WINDOWS

@@ -1,14 +1,122 @@
-Dear calc user on a Windoz based system,
+Dear calc user on a Windows based system,
 
 See the HOWTO.INSTALL file for information on how to build and install calc.
 See also the README file.
 
-NOTE: The main developers do not have access to a Windoz based platform.
-      While we will make an effort to not break calc Windoz based system,
-      our lack of a Windoz test environment will mean we will make mistakes
-      from time to time.  Hopefully Windowz users can overcome these mistakes.
+BTW: While we are unable to use Windows 11, we welcome
+     Windows 11 developers to try compiling calc natively
+     (instead of via a Linux virtual machine).  If you are
+     able to compile Windows 11 natively, we would welcome
+     GitHub pull requests showing any needed modifications:
+
+	https://github.com/lcn2/calc/pulls
+
+     Please also add notes to the 'Compiling calc under Windows 11'
+     section in README.WINDOWS file.
+
+NOTE: The main developers do not have access to a Windows based platform.
+      While we will make an effort to not break calc Windows based system,
+      our lack of a Windows test environment will mean we will make mistakes
+      from time to time.  Hopefully Windows users can overcome these mistakes.
       Of course you are welcome to send us any patches that fix your
-      Windoz build environment.
+      Windows build environment.
+
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+=-= Compiling calc under Windows 11 =-=
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+
+We were given this advice from a Windows 11 developer:
+
+    Windows 11 users could use Cygwin:
+
+        https://cygwin.com/install.html
+
+    IMPORTANT: While installing Cygwin, and during Cygwin Setup, be sure to
+	       select all the MinGW64 packages relating to gcc.
+
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+=-= Compiling calc via virtual machine under Windows 11 =-=
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+
+We would prefer a Windows 11 solution that does not require a Windows 11
+developer to install a Linux virtual machine.  Nevertheless, a Windows 11
+user might want to use the Microsoft Windows Subsystem (WSL) for Linux:
+
+	https://docs.microsoft.com/en-us/windows/wsl/
+
+    We have been told that you will need to turn on virtualization
+    to use this WSL subsystem.
+
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+=-= Compiling calc under Windows 10 via Windows Subsystem for Linux (WSL) =-=
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+
+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 =-=
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+
+An effort is being made to allow windows users to compile calc using the
+Cygwin project (http://sources.redhat.com/cygwin/) with the GCC compiler
+and Un*x tools for Windows.
+
+The major porting work for Cygwin was performed by Thomas Jones-Low
+(tjoneslo at softstart dot com).
+
+In March 2009, Michael Penk (mpenk at wuska dot com) reported success in
+installs under Cygwin:
+
+    On my fairly complete Cygwin installs, everything compiles,
+    checks, and installs correctly.  My Cygwin is configured
+    in a very standard way (out of the box, using all of Cygwin's
+    defaults).  The install worked on 5 different machines with
+    Cygwin on them: one XP home, one XP professional, and three
+    Vista professionals.
+
+Using the calc Makefile, he did the following:
+
+    make all target=Cygwin
+    make check
+    make install
+
+He also reports:
+
+    Of course, one should be logged in as an Administrator when
+    one builds and installs calc.
+
+He was compiling calc 2.12.4.0 with Cygwin version 1.5.25-15.
+
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+=-= If all else fails, for Cygwin =-=
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
+
+Much earlier (2001?) Thomas Jones-Low (tjoneslo at softstart dot com)
+recommended that you generate by hand all of the header files that
+by the Makefile.  This has been done for you via the makefile rule:
+
+	make win32_hsrc
+
+which uses the Makefile variables in win32.mkdef to form these header
+files under win32 directory.
+
+You will find generated versions of these files located in the win32
+sub-directory.  These files may be appropriate for your Cygwin building
+needs.
+
+In particular:
+
+    Just copy the win32/*.[ch] files up into the top level calc
+    source directory, edit them (if needed) and build using the
+    Cygwin GCC compiler and Cygwin build environment.
 
 =-=-=-=-=-=-=-=-=-=-=-=-=-=-=
 =-= compiling under DJGPP =-=
@@ -54,9 +162,11 @@ recommends the following settings:
 	CATDIR= /dev/env/DJDIR/man/cat1
 	NROFF= groff
 	CALCPATH= .;./cal;~/.cal;${CALC_SHAREDIR};${CUSTOMCALDIR}
-	CALCRC= ${CALC_SHAREDIR}/startup;~/.calcrc;./.calcinit
+	CALCRC= ./.calcinit;~/.calcrc;${CALC_SHAREDIR}/startup
 	CALCPAGER= less.exe -ci
-	DEBUG= -O2 -gstabs+
+	DEBUG= -O2 -gstabs+ -D_WIN32
+	HAVE_ENVIRON=-DHAVE_NO_ENVIRON
+	HAVE_ARC4RANDOM=-DHAVE_NO_ARC4RANDOM
 
 The 'Linux set' or 'gcc set' (see the Select your compiler type section)
 should work for DJGPP systems if you set the above Makefile variables.
@@ -68,81 +178,8 @@ Look for Makefile comments of the form:
 Follow those recommendations.  In cases where they conflict with
 the above Makefile list, follow the recommendation in the Makefile.
 
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
-=-= compiling with Cygwin =-=
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
 
-An effort is being made to allow windows users to compile calc using the
-Cygwin project (http://sources.redhat.com/cygwin/) with the GCC compiler
-and Un*x tools for Windows.
-
-The major porting work was performed by Thomas Jones-Low
-(tjoneslo at softstart dot com).  He said:
-
-    I had previous stated to this group that I have successfully managed
-    to port a version of Calc to Windows, and promised some point to
-    post what was required, so here it is.
-
-    One obvious manner of doing this port is to get the latest version
-    of the Cygwin project (http://sources.redhat.com/cygwin/) with the
-    GCC compiler and Un*x tools for Windows and recompile.
-
-    I built my working version using Calc ... I am using Visual C++
-    version 7.0, which is an older version of the Microsoft development
-    tools. The make file provided with Calc is not compatible with
-    NMAKE, so I used the Visual Studio tools to generate another one
-    (not included). Calc is built in two parts, calc.dll, which is the
-    library, and calc.exe which is the command line interface.
-
-He recommended that you generate by hand all of the header files that
-by the Makefile.  This has been done for you via the makefile rule:
-
-	make win32_hsrc
-
-which uses the Makefile variables in win32.mkdef to form these header
-files under win32 directory.
-
-You will find generated versions of these files located in the win32
-sub-directory.  These files may be appropriate for your Cygwin building
-needs.
-
-In particular:
-
-	Just copy the win32/*.[ch] files up into the top level calc
-	source directory, edit them (if needed) and build using the
-	Cygwin GCC compiler and Cygwin build environment.
-
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
-=-=-= calc maintenance folk =-=-=
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
-
-People who maintain calc need to keep in mind the following:
-
-The following was added to opcodes.h, config.h, zmath.h and value.h:
-
-	#if defined(_WIN32)
-	#ifdef _EXPORTING
-	  #define DLL	__declspec(dllexport)
-	#else
-	  #define DLL	__declspec(dllimport)
-	#endif
-
-	#else /* Windoz free systems */
-
-	  #define DLL
-
-	#endif /* Windoz free systems */
-
-Then DLL was added in front of all the exported functions.  For example:
-
-    extern int configtype(char*);
-
-was changed to:
-
-    DLL extern int configtype(char*);
-
-
-## Copyright (C) 2002  Landon Curt Noll and Thomas Jones-Low
+## Copyright (C) 2002-2009,2021  Landon Curt Noll and Thomas Jones-Low
 ##
 ## Calc is open software; you can redistribute it and/or modify it under
 ## the terms of the version 2.1 of the GNU Lesser General Public License
@@ -156,11 +193,7 @@ was changed to:
 ## 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.
-## 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
-##
-## @(#) $Revision: 29.12 $
-## @(#) $Id: README.WINDOWS,v 29.12 2004/07/28 12:52:01 chongo Exp $
-## @(#) $Source: /usr/local/src/cmd/calc/RCS/README.WINDOWS,v $
+## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 ##
 ## 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.

SECURITY.md

@@ -0,0 +1,19 @@
+# Security Policy
+
+## Supported Versions
+
+The most recent version of calc is supported with security updates.
+
+If the most recent stable of calc is also supported with security updates.
+
+FYI: please review the BUGS file, or enter the calc command:
+
+    ; help BUGS
+
+## Reporting a Vulnerability
+
+Please create a calc GitHub repo issue:
+
+    https://github.com/lcn2/calc/issues
+    
+Click on ((New issue)) and follow the issue template.

addop.c

@@ -1,7 +1,7 @@
 /*
  * addop - add opcodes to a function being compiled
  *
- * Copyright (C) 1999-2006  David I. Bell and Ernest Bowen
+ * Copyright (C) 1999-2007,2021,2022  David I. Bell and Ernest Bowen
  *
  * Primary author:  David I. Bell
  *
@@ -17,11 +17,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.13 $
- * @(#) $Id: addop.c,v 29.13 2006/06/20 10:28:06 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/RCS/addop.c,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1990/02/15 01:48:10
  * File existed as early as:	before 1990
@@ -32,29 +28,34 @@
 
 #include <stdio.h>
 #include "calc.h"
+#include "alloc.h"
 #include "opcodes.h"
-#include "string.h"
+#include "str.h"
 #include "func.h"
 #include "token.h"
 #include "label.h"
 #include "symbol.h"
 
 
+#include "attribute.h"
+#include "banned.h"	/* include after system header <> includes */
+
+
 #define FUNCALLOCSIZE	20	/* reallocate size for functions */
 #define OPCODEALLOCSIZE 100	/* reallocate size for opcodes in functions */
 
 
-static unsigned long maxopcodes;/* number of opcodes available */
-static long newindex;		/* index of new function */
-static char *newname;		/* name of new function */
-static long oldop;		/* previous opcode */
-static long oldoldop;		/* opcode before previous opcode */
-static long debugline;		/* line number of latest debug opcode */
-static long funccount;		/* number of functions */
-static long funcavail;		/* available number of functions */
-static FUNC *functemplate;	/* function definition template */
-static FUNC **functions;	/* table of functions */
-static STRINGHEAD funcnames;	/* function names */
+STATIC unsigned long maxopcodes;/* number of opcodes available */
+STATIC long newindex;		/* index of new function */
+STATIC char *newname;		/* name of new function */
+STATIC long oldop;		/* previous opcode */
+STATIC long oldoldop;		/* opcode before previous opcode */
+STATIC long debugline;		/* line number of latest debug opcode */
+STATIC long funccount;		/* number of functions */
+STATIC long funcavail;		/* available number of functions */
+STATIC FUNC *functemplate;	/* function definition template */
+STATIC FUNC **functions;	/* table of functions */
+STATIC STRINGHEAD funcnames;	/* function names */
 
 
 /*
@@ -68,12 +69,12 @@ initfunctions(void)
 	functemplate = (FUNC *) malloc(funcsize(maxopcodes));
 	if (functemplate == NULL) {
 		math_error("Cannot allocate function template");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	functions = (FUNC **) malloc(sizeof(FUNC *) * FUNCALLOCSIZE);
 	if (functions == NULL) {
 		math_error("Cannot allocate function table");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	funccount = 0;
 	funcavail = FUNCALLOCSIZE;
@@ -155,7 +156,7 @@ beginfunc(char *name, BOOL newflag)
 		fp = (FUNC *) malloc(funcsize(maxopcodes));
 		if (fp == NULL) {
 			math_error("Cannot allocate temporary function");
-			/*NOTREACHED*/
+			not_reached();
 		}
 	}
 	fp->f_next = NULL;
@@ -203,7 +204,7 @@ endfunc(void)
 	fp = (FUNC *) malloc(size);
 	if (fp == NULL) {
 		math_error("Cannot commit function");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	memcpy((char *) fp, (char *) curfunc, size);
 	if (curfunc != functemplate)
@@ -257,13 +258,13 @@ adduserfunc(char *name)
 			sizeof(FUNC *) * (funcavail + FUNCALLOCSIZE));
 		if (functions == NULL) {
 			math_error("Failed to reallocate function table");
-			/*NOTREACHED*/
+			not_reached();
 		}
 		funcavail += FUNCALLOCSIZE;
 	}
 	if (addstr(&funcnames, name) == NULL) {
 		math_error("Cannot save function name");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	index = funccount++;
 	functions[index] = NULL;
@@ -316,7 +317,7 @@ freefunc(FUNC *fp)
 		}
 		if (index == funccount) {
 			math_error("Bad call to freefunc!!!");
-			/*NOTREACHED*/
+			not_reached();
 		}
 	}
 	if (newname[0] != '*' && (conf->traceflags & TRACE_FNCODES)) {
@@ -386,7 +387,7 @@ findfunc(long index)
 {
 	if (index >= funccount) {
 		math_error("Undefined function");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	return functions[index];
 }
@@ -438,7 +439,7 @@ addop(long op)
 		fp = (FUNC *) malloc(funcsize(maxopcodes));
 		if (fp == NULL) {
 			math_error("cannot malloc function");
-			/*NOTREACHED*/
+			not_reached();
 		}
 		memcpy((char *) fp, (char *) curfunc,
 			funcsize(curfunc->f_opcodecount));

align32.c

@@ -1,7 +1,7 @@
 /*
  * align32 - determine if 32 bit accesses must be aligned
  *
- * 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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: align32.c,v 29.2 2000/06/07 14:02:13 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/RCS/align32.c,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1995/11/23 05:18:06
  * File existed as early as:	1995
@@ -38,6 +34,10 @@
 #include <unistd.h>
 #endif
 
+
+#include "banned.h"	/* include after system header <> includes */
+
+
 static void buserr(void);	/* catch alignment errors */
 
 

alloc.h

@@ -1,7 +1,7 @@
 /*
  * alloc - storage allocation and storage debug macros
  *
- * Copyright (C) 1999  David I. Bell
+ * Copyright (C) 1999-2007,2014  David I. Bell
  *
  * Calc is open software; you can redistribute it and/or modify it under
  * the terms of the version 2.1 of the GNU Lesser General Public License
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.4 $
- * @(#) $Id: alloc.h,v 29.4 2001/06/08 21:00:58 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/RCS/alloc.h,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1990/02/15 01:48:29
  * File existed as early as:	before 1990
@@ -28,59 +24,45 @@
  */
 
 
-#if !defined(__ALLOC_H__)
-#define __ALLOC_H__
+#if !defined(INCLUDE_ALLOC_H)
+#define INCLUDE_ALLOC_H
 
 
 #if defined(CALC_SRC)	/* if we are building from the calc source tree */
-# include "have_malloc.h"
 # include "have_newstr.h"
 # include "have_string.h"
 # include "have_memmv.h"
 #else
-# include <calc/have_malloc.h>
 # include <calc/have_newstr.h>
 # include <calc/have_string.h>
 # include <calc/have_memmv.h>
 #endif
 
-#ifdef HAVE_MALLOC_H
-# include <malloc.h>
-#else
-#if defined(FORCE_STDC) || (defined(__STDC__) && __STDC__ != 0) || defined(__cplusplus)
-   extern void *malloc();
-   extern void *realloc();
-   extern void free();
-# else
-   extern char *malloc();
-   extern char *realloc();
-   extern void free();
-# endif
-#endif
-
 #ifdef HAVE_STRING_H
 # include <string.h>
 
 #else
+#include <stdio.h>
 
 # if defined(HAVE_NEWSTR)
-extern void *memcpy();
-extern void *memset();
-#if defined(FORCE_STDC) || (defined(__STDC__) && __STDC__ != 0) || defined(__cplusplus)
-extern size_t strlen();
+E_FUNC void *memcpy();
+E_FUNC void *memset();
+#if defined(FORCE_STDC) || \
+   (defined(__STDC__) && __STDC__ != 0) || defined(__cplusplus)
+E_FUNC size_t strlen();
 #  else
-extern long strlen();
+E_FUNC long strlen();
 #  endif
 # else /* HAVE_NEWSTR */
-extern void bcopy();
-extern void bfill();
-extern char *index();
+E_FUNC void bcopy();
+E_FUNC void bfill();
+E_FUNC char *index();
 # endif /* HAVE_NEWSTR */
-extern char *strchr();
-extern char *strcpy();
-extern char *strncpy();
-extern char *strcat();
-extern int strcmp();
+E_FUNC char *strchr();
+E_FUNC char *strcpy();
+E_FUNC char *strncpy();
+E_FUNC char *strcat();
+E_FUNC int strcmp();
 
 #endif
 
@@ -94,13 +76,14 @@ extern int strcmp();
 #endif /* HAVE_NEWSTR */
 
 #if !defined(HAVE_MEMMOVE)
-# undef CALC_SIZE_T
-#if defined(FORCE_STDC) || (defined(__STDC__) && __STDC__ != 0) || defined(__cplusplus)
-#  define CALC_SIZE_T size_t
+# undef MEMMOVE_SIZE_T
+#if defined(FORCE_STDC) || \
+   (defined(__STDC__) && __STDC__ != 0) || defined(__cplusplus)
+#  define MEMMOVE_SIZE_T size_t
 # else
-#  define CALC_SIZE_T long
+#  define MEMMOVE_SIZE_T long
 # endif
-extern void *memmove(void *s1, const void *s2, CALC_SIZE_T n);
+E_FUNC void *memmove(void *s1, CONST void *s2, MEMMOVE_SIZE_T n);
 #endif
 
-#endif /* !__ALLOC_H__ */
+#endif /* !INCLUDE_ALLOC_H */

assocfunc.c

@@ -1,7 +1,7 @@
 /*
  * assocfunc - association table routines
  *
- * Copyright (C) 1999  David I. Bell
+ * Copyright (C) 1999-2007,2021,2022  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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: assocfunc.c,v 29.2 2000/06/07 14:02:13 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/RCS/assocfunc.c,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1993/07/20 23:04:27
  * File existed as early as:	1993
@@ -40,16 +36,20 @@
 #include "value.h"
 
 
+#include "attribute.h"
+#include "banned.h"	/* include after system header <> includes */
+
+
 #define MINHASHSIZE	31	/* minimum size of hash tables */
 #define GROWHASHSIZE	50	/* approximate growth for hash tables */
 #define CHAINLENGTH	10	/* desired number of elements on a hash chain */
 #define ELEMSIZE(n)	(sizeof(ASSOCELEM) + (sizeof(VALUE) * ((n) - 1)))
 
 
-static ASSOCELEM *elemindex(ASSOC *ap, long index);
-static BOOL compareindices(VALUE *v1, VALUE *v2, long dim);
-static void resize(ASSOC *ap, long newsize);
-static void assoc_elemfree(ASSOCELEM *ep);
+S_FUNC ASSOCELEM *elemindex(ASSOC *ap, long index);
+S_FUNC BOOL compareindices(VALUE *v1, VALUE *v2, long dim);
+S_FUNC void resize(ASSOC *ap, long newsize);
+S_FUNC void assoc_elemfree(ASSOCELEM *ep);
 
 
 /*
@@ -69,13 +69,13 @@ associndex(ASSOC *ap, BOOL create, long dim, VALUE *indices)
 {
 	ASSOCELEM **listhead;
 	ASSOCELEM *ep;
-	static VALUE val;
+	STATIC VALUE val;
 	QCKHASH hash;
 	int i;
 
 	if (dim < 0) {
 		math_error("Negative dimension for indexing association");
-		/*NOTREACHED*/
+		not_reached();
 	}
 
 	/*
@@ -83,7 +83,7 @@ associndex(ASSOC *ap, BOOL create, long dim, VALUE *indices)
 	 * so that we can first select the correct hash chain, and
 	 * also so we can quickly compare each element for a match.
 	 */
-	hash = FNV1_32_BASIS;
+	hash = QUICKHASH_BASIS;
 	for (i = 0; i < dim; i++)
 		hash = hashvalue(&indices[i], hash);
 
@@ -113,7 +113,7 @@ associndex(ASSOC *ap, BOOL create, long dim, VALUE *indices)
 	ep = (ASSOCELEM *) malloc(ELEMSIZE(dim));
 	if (ep == NULL) {
 		math_error("Cannot allocate association element");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	ep->e_dim = dim;
 	ep->e_hash = hash;
@@ -143,13 +143,13 @@ assocsearch(ASSOC *ap, VALUE *vp, long i, long j, ZVALUE *index)
 
 	if (i < 0 || j > ap->a_count) {
 		math_error("This should not happen in assocsearch");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	while (i < j) {
 		ep = elemindex(ap, i);
 		if (ep == NULL) {
 			math_error("This should not happen in assocsearch");
-			/*NOTREACHED*/
+			not_reached();
 		}
 		if (acceptvalue(&ep->e_value, vp)) {
 			utoz(i, index);
@@ -173,14 +173,14 @@ assocrsearch(ASSOC *ap, VALUE *vp, long i, long j, ZVALUE *index)
 
 	if (i < 0 || j > ap->a_count) {
 		math_error("This should not happen in assocsearch");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	j--;
 	while (j >= i) {
 		ep = elemindex(ap, j);
 		if (ep == NULL) {
 			math_error("This should not happen in assocsearch");
-			/*NOTREACHED*/
+			not_reached();
 		}
 		if (acceptvalue(&ep->e_value, vp)) {
 			utoz(j, index);
@@ -200,7 +200,7 @@ assocrsearch(ASSOC *ap, VALUE *vp, long i, long j, ZVALUE *index)
  *	ap		association to index into
  *	index		index of desired element
  */
-static ASSOCELEM *
+S_FUNC ASSOCELEM *
 elemindex(ASSOC *ap, long index)
 {
 	ASSOCELEM *ep;
@@ -332,15 +332,17 @@ assoccopy(ASSOC *oldap)
 			oldep = oldep->e_next) {
 			ep = (ASSOCELEM *) malloc(ELEMSIZE(oldep->e_dim));
 			if (ep == NULL) {
-				math_error("Cannot allocate association element");
-				/*NOTREACHED*/
+				math_error("Cannot allocate "
+					   "association element");
+				not_reached();
 			}
 			ep->e_dim = oldep->e_dim;
 			ep->e_hash = oldep->e_hash;
 			ep->e_value.v_type = V_NULL;
 			ep->e_value.v_subtype = V_NOSUBTYPE;
 			for (i = 0; i < ep->e_dim; i++)
-				copyvalue(&oldep->e_indices[i], &ep->e_indices[i]);
+				copyvalue(&oldep->e_indices[i],
+					  &ep->e_indices[i]);
 			copyvalue(&oldep->e_value, &ep->e_value);
 			listhead = &ap->a_table[ep->e_hash % ap->a_size];
 			ep->e_next = *listhead;
@@ -356,7 +358,7 @@ assoccopy(ASSOC *oldap)
  * This is only actually done if the growth from the previous size is
  * enough to make this worthwhile.
  */
-static void
+S_FUNC void
 resize(ASSOC *ap, long newsize)
 {
 	ASSOCELEM **oldtable;
@@ -373,7 +375,7 @@ resize(ASSOC *ap, long newsize)
 	newtable = (ASSOCELEM **) malloc(sizeof(ASSOCELEM *) * newsize);
 	if (newtable == NULL) {
 		math_error("No memory to grow association");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	for (i = 0; i < newsize; i++)
 		newtable[i] = NULL;
@@ -400,7 +402,7 @@ resize(ASSOC *ap, long newsize)
 /*
  * Free an association element, along with any contained values.
  */
-static void
+S_FUNC void
 assoc_elemfree(ASSOCELEM *ep)
 {
 	int i;
@@ -429,7 +431,7 @@ assocalloc(long initsize)
 	ap = (ASSOC *) malloc(sizeof(ASSOC));
 	if (ap == NULL) {
 		math_error("No memory for association");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	ap->a_count = 0;
 	ap->a_size = initsize;
@@ -437,7 +439,7 @@ assocalloc(long initsize)
 	if (ap->a_table == NULL) {
 		free((char *) ap);
 		math_error("No memory for association");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	for (i = 0; i < initsize; i++)
 		ap->a_table[i] = NULL;
@@ -520,7 +522,7 @@ assocprint(ASSOC *ap, long max_print)
  * Compare two lists of index values to see if they are identical.
  * Returns TRUE if they are the same.
  */
-static BOOL
+S_FUNC BOOL
 compareindices(VALUE *v1, VALUE *v2, long dim)
 {
 	int i;

attribute.h

@@ -0,0 +1,69 @@
+/*
+ * attribute - control use of attributes in a backward compatible way
+ *
+ * Copyright (C) 2022  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:	2022/01/21 22:51:25
+ * File existed as early as:	2022
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+#if !defined(INCLUDE_ATTRIBUTE_H)
+#define INCLUDE_ATTRIBUTE_H
+
+
+/*
+ * backward compatibility
+ *
+ * Not all compilers support __attribute__ nor do they suuport __has_builtin.
+ * For example, MSVC, TenDRAm and Little C Compiler doesn't support __attribute__.
+ * Early gcc does not support __attribute__.
+ *
+ * Not all compiles have __has_builtin
+ */
+#if !defined(__attribute__) && \
+    (defined(__cplusplus) || !defined(__GNUC__)  || __GNUC__ == 2 && __GNUC_MINOR__ < 8)
+#    define __attribute__(A)
+#endif
+#if !defined __has_builtin
+#    define __has_builtin(x) 0
+#endif
+
+
+/*
+ * not_reached
+ *
+ * In the old days of lint, one could give lint and friends a hint by
+ * placing the token NOTREACHED immediately between opening and closing
+ * comments.  Modern compilers do not honor such commented tokens
+ * and instead rely on features such as __builtin_unreachable
+ * and __attribute__((noreturn)).
+ *
+ * The not_reached will either yield a __builtin_unreachable() feature call,
+ * or it will call abort from stdlib.
+ */
+#if __has_builtin(__builtin_unreachable)
+#    define not_reached() __builtin_unreachable()
+#else
+#    define not_reached() abort()
+#endif /* __has_builtin(__builtin_unreachable) */
+
+
+#endif /* !INCLUDE_ATTRIBUTE_H */

banned.h

@@ -0,0 +1,180 @@
+/*
+ * banned - optionally ban dangerous functions
+ *
+ * Unless UNBAN is defined, this file will turn the use
+ * of certain dangerous functions into syntax errors.
+ *
+ * In the case of calc, we are motivated in part by the desire for
+ * calc to correctly calculate: even during extremely long calculations.
+ *
+ * If UNBAN is NOT defined, then calling certain functions
+ * will result in a syntax error.
+ *
+ * If we define UNBAN, then the effect of this file is disabled.
+ *
+ * The banned.h attempts to ban the use of certain dangerous functions
+ * that, if improperly used, could compromise the computational integrity
+ * if calculations.
+ *
+ * In the case of calc, we are motivated in part by the desire for calc
+ * to correctly calculate: even during extremely long calculations.
+ *
+ * If UNBAN is NOT defined, then calling certain functions
+ * will result in a call to a non-existent function (link error).
+ *
+ * While we do NOT encourage defining UNBAN, there may be
+ * a system / compiler environment where re-defining a
+ * function may lead to a fatal compiler complication.
+ * If that happens, consider compiling as:
+ *
+ *	make clobber all chk CCBAN=-DUNBAN
+ *
+ * as see if this is a work-a-round.
+ *
+ * If YOU discover a need for the -DUNBAN work-a-round, PLEASE tell us!
+ * Please send us a bug report.  See the file:
+ *
+ *	BUGS
+ *
+ * or the URL:
+ *
+ *	http://www.isthe.com/chongo/tech/comp/calc/calc-bugrept.html
+ *
+ * for how to send us such a bug report.
+ *
+ * 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:	2021/03/06 21:07:31
+ * 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/
+ */
+
+
+#if !defined(PRE_HAVE_BAN_PRAGMA_H)
+#include "have_ban_pragma.h"
+#endif /* ! PRE_HAVE_BAN_PRAGMA_H */
+
+
+#if !defined(INCLUDE_BANNED_H)
+#define INCLUDE_BANNED_H
+
+/*
+ * If we define UNBAN, then the effect of this file is disabled.
+ */
+#if !defined(UNBAN)
+
+/*
+ * In the spirit of:
+ *
+ *	https://github.com/git/git/blob/master/banned.h
+ *
+ * we will ban the use of certain unsafe functions by turning
+ * then into function calls that do not exist.
+ *
+ * In the case of calc, we are motivated in part by the desire
+ * for calc to correctly calculate: even during extremely long
+ * calculations.
+ *
+ * If UNBAN is NOT defined, then calling certain functions
+ * will result in a syntax error.
+ *
+ * Unlike the above URL, we suggest an alternative function.
+ * In many cases, additional logic is required to use the
+ * alternative function, we cannot simply replace one function
+ * with another.
+ */
+
+/*
+ * If one is not careful, strcpy() can lead to buffer overflows.
+ * Use strlcpy() instead.
+ */
+#if defined(HAVE_PRAGMA_GCC_POSION)
+#undef strcpy
+#pragma GCC poison strcpy
+#endif /* HAVE_PRAGMA_GCC_POSION */
+
+/*
+ * If one is not careful, strcat() can lead to buffer overflows.
+ * Use strlcat() instead.
+ */
+#if defined(HAVE_PRAGMA_GCC_POSION)
+#undef strcat
+#pragma GCC poison strcat
+#endif /* HAVE_PRAGMA_GCC_POSION */
+
+/*
+ * If one is not careful, strncpy() can lead to buffer overflows.
+ * Use memccpy() instead.
+ */
+#if defined(HAVE_PRAGMA_GCC_POSION)
+#undef strncpy
+#pragma GCC poison strncpy
+#endif /* HAVE_PRAGMA_GCC_POSION */
+
+/*
+ * If one is not careful, strncat() can lead to buffer overflows.
+ * Use memccpy() instead.
+ */
+#if defined(HAVE_PRAGMA_GCC_POSION)
+#undef strncat
+#pragma GCC poison strncat
+#endif /* HAVE_PRAGMA_GCC_POSION */
+
+/*
+ * If one is not careful, sprintf() can lead to buffer overflows.
+ * Use snprintf() instead.
+ */
+#if defined(HAVE_PRAGMA_GCC_POSION)
+#undef sprintf
+#pragma GCC poison sprintf
+#endif /* HAVE_PRAGMA_GCC_POSION */
+
+/*
+ * If one is not careful, vsprintf() can lead to buffer overflows.
+ * Use vsnprintf() instead.
+ */
+#if defined(HAVE_PRAGMA_GCC_POSION)
+#undef vsprintf
+#pragma GCC poison vsprintf
+#endif /* HAVE_PRAGMA_GCC_POSION */
+
+/*
+ * XXX - As of 2021, functions such as:
+ *
+ *	gmtime_s
+ *	localtime_s
+ *	ctime_s
+ *	asctime_s
+ *
+ * are not universal.  We cannot yet ban the following
+ * functions because we do not have a portable AND
+ * widely available alternative.  Therefore we just
+ * have to be extra careful when using:
+ *
+ *	gmtime
+ *	localtime
+ *	ctime
+ *	ctime_r
+ *	asctime
+ *	asctime_r
+ */
+
+#endif /* !UNBAN */
+
+#endif /* !INCLUDE_BANNED_H */

blkcpy.c

@@ -1,7 +1,7 @@
 /*
  * blkcpy - general values and related routines used by the calculator
  *
- * Copyright (C) 1999-2006  Landon Curt Noll and Ernest Bowen
+ * Copyright (C) 1999-2007,2021,2022  Landon Curt Noll and Ernest Bowen
  *
  * Primary author:  Landon Curt Noll
  *
@@ -17,11 +17,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.9 $
- * @(#) $Id: blkcpy.c,v 29.9 2006/05/20 08:43:55 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/RCS/blkcpy.c,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1997/04/18 20:41:26
  * File existed as early as:	1997
@@ -33,10 +29,15 @@
 #include <stdio.h>
 #include <sys/types.h>
 #include "calc.h"
+#include "alloc.h"
 #include "value.h"
 #include "file.h"
 #include "blkcpy.h"
-#include "string.h"
+#include "str.h"
+
+
+#include "attribute.h"
+#include "banned.h"	/* include after system header <> includes */
 
 
 /*
@@ -298,7 +299,7 @@ copymat2mat(MATRIX *smat, long ssi, long num, MATRIX *dmat, long dsi)
 	vtemp = (VALUE *) malloc(num * sizeof(VALUE));
 	if (vtemp == NULL) {
 		math_error("Out of memory for mat-to-mat copy");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	vp = smat->m_table + ssi;
 	vq = vtemp;
@@ -347,7 +348,7 @@ copyblk2mat(BLOCK *blk, long ssi, long num, MATRIX *dmat, long dsi)
 	vtemp = (VALUE *) malloc(num * sizeof(VALUE));
 	if (vtemp == NULL) {
 		math_error("Out of memory for block-to-matrix copy");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	vp = vtemp;
 	i = num;
@@ -374,7 +375,8 @@ copyblk2mat(BLOCK *blk, long ssi, long num, MATRIX *dmat, long dsi)
  * copymat2blk - copy matrix to block
  */
 int
-copymat2blk(MATRIX *smat, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc)
+copymat2blk(MATRIX *smat, long ssi, long num, BLOCK *dblk, long dsi,
+	    BOOL noreloc)
 {
 	long i;
 	long newlen;
@@ -403,7 +405,7 @@ copymat2blk(MATRIX *smat, long ssi, long num, BLOCK *dblk, long dsi, BOOL norelo
 		newdata = (USB8*) realloc(dblk->data, newsize);
 		if (newdata == NULL) {
 			math_error("Out of memory for matrix-to-block copy");
-			/*NOTREACHED*/
+			not_reached();
 		}
 		dblk->data = newdata;
 		dblk->maxsize = newsize;
@@ -446,7 +448,7 @@ copymat2list(MATRIX *smat, long ssi, long num, LIST *lp, long dsi)
 	vtemp = (VALUE *) malloc(num * sizeof(VALUE));
 	if (vtemp == NULL) {
 		math_error("Out of memory for matrix-to-list copy");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	vp = smat->m_table + ssi;
 	vq = vtemp;
@@ -496,7 +498,7 @@ copylist2mat(LIST *lp, long ssi, long num, MATRIX *dmat, long dsi)
 	vtemp = (VALUE *) malloc(num * sizeof(VALUE));
 	if (vtemp == NULL) {
 		math_error("Out of memory for list-to-matrix copy");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	ep = listelement(lp, (long) ssi);
 	vp = vtemp;
@@ -546,7 +548,7 @@ copylist2list(LIST *slp, long ssi, long num, LIST *dlp, long dsi)
 	vtemp = (VALUE *) malloc(num * sizeof(VALUE));
 	if (vtemp == NULL) {
 		math_error("Out of memory for list-to-list copy");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	sep = listelement(slp, (long) ssi);
 	vp = vtemp;
@@ -661,7 +663,7 @@ copyfile2blk(FILEID id, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc)
 		newdata = (USB8*) realloc(dblk->data, newsize);
 		if (newdata == NULL) {
 			math_error("Out of memory for block-to-block copy");
-			/*NOTREACHED*/
+			not_reached();
 		}
 		dblk->data = newdata;
 		dblk->maxsize = newsize;
@@ -720,7 +722,8 @@ copystr2file(STRING *str, long ssi, long num, FILEID id, long dsi)
  * copyblk2blk - copy block to block
  */
 int
-copyblk2blk(BLOCK *sblk, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc)
+copyblk2blk(BLOCK *sblk, long ssi, long num, BLOCK *dblk, long dsi,
+	    BOOL noreloc)
 {
 	long	newlen;
 	long	newsize;
@@ -746,7 +749,7 @@ copyblk2blk(BLOCK *sblk, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc
 		newdata = (USB8*) realloc(dblk->data, newsize);
 		if (newdata == NULL) {
 			math_error("Out of memory for block-to-block copy");
-			/*NOTREACHED*/
+			not_reached();
 		}
 		dblk->data = newdata;
 		dblk->maxsize = newsize;
@@ -762,7 +765,8 @@ copyblk2blk(BLOCK *sblk, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc
  * copystr2blk - copy string to block
  */
 int
-copystr2blk(STRING *str, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc)
+copystr2blk(STRING *str, long ssi, long num, BLOCK *dblk, long dsi,
+	    BOOL noreloc)
 {
 	long	len;
 	long	newlen;
@@ -789,7 +793,7 @@ copystr2blk(STRING *str, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc
 		newdata = (USB8*) realloc(dblk->data, newsize);
 		if (newdata == NULL) {
 			math_error("Out of memory for string-to-block copy");
-			/*NOTREACHED*/
+			not_reached();
 		}
 		dblk->data = newdata;
 		dblk->maxsize = newsize;
@@ -910,7 +914,7 @@ copyostr2blk(char *str,long ssi,long num,BLOCK *dblk,long dsi,BOOL noreloc)
 		newdata = (USB8*) realloc(dblk->data, newsize);
 		if (newdata == NULL) {
 			math_error("Out of memory for string-to-block copy");
-			/*NOTREACHED*/
+			not_reached();
 		}
 		dblk->data = newdata;
 		dblk->maxsize = newsize;
@@ -935,14 +939,14 @@ copyostr2blk(char *str,long ssi,long num,BLOCK *dblk,long dsi,BOOL noreloc)
  *	s1
  */
 void *
-memmove(void *s1, const void *s2, CALC_SIZE_T n)
+memmove(void *s1, CONST void *s2, MEMMOVE_SIZE_T n)
 {
 	/*
 	 * firewall
 	 */
 	if (s1 == NULL || s2 == NULL) {
 		math_error("bogus memmove NULL ptr");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	if (n <= 0) {
 		/* neg or 0 count does nothing */
@@ -982,7 +986,8 @@ memmove(void *s1, const void *s2, CALC_SIZE_T n)
  * copynum2blk - copy number numerator to block
  */
 int
-copynum2blk(NUMBER *snum, long ssi, long num, BLOCK *dblk, long dsi, BOOL noreloc)
+copynum2blk(NUMBER *snum, long ssi, long num, BLOCK *dblk, long dsi,
+	    BOOL noreloc)
 {
 	size_t	newlen;
 	size_t	newsize;
@@ -1011,7 +1016,7 @@ copynum2blk(NUMBER *snum, long ssi, long num, BLOCK *dblk, long dsi, BOOL norelo
 		newdata = (USB8*) realloc(dblk->data, newsize);
 		if (newdata == NULL) {
 			math_error("Out of memory for num-to-block copy");
-			/*NOTREACHED*/
+			not_reached();
 		}
 		dblk->data = newdata;
 		dblk->maxsize = newsize;
@@ -1033,13 +1038,14 @@ copynum2blk(NUMBER *snum, long ssi, long num, BLOCK *dblk, long dsi, BOOL norelo
  * copyblk2num - copy block to number
  */
 int
-copyblk2num(BLOCK *sblk, long ssi, long num, NUMBER *dnum, long dsi, NUMBER **res)
+copyblk2num(BLOCK *sblk, long ssi, long num, NUMBER *dnum, long dsi,
+	    NUMBER **res)
 {
 	size_t	newlen;
 	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
@@ -1081,7 +1087,7 @@ copyblk2num(BLOCK *sblk, long ssi, long num, NUMBER *dnum, long dsi, NUMBER **re
 	swapped = (HALF *)malloc(halflen * sizeof(HALF));
 	if (swapped == NULL) {
 		math_error("Out of memory for block-to-num copy");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	/* ensure that any trailing octets will be zero filled */
 	swapped[halflen-1] = 0;

blkcpy.h

@@ -1,7 +1,7 @@
 /*
  * blkcpy - general values and related routines used by the calculator
  *
- * Copyright (C) 1999  Landon Curt Noll and Ernest Bowen
+ * Copyright (C) 1999-2007,2014  Landon Curt Noll and Ernest Bowen
  *
  * Primary author:  Landon Curt Noll
  *
@@ -17,11 +17,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: blkcpy.h,v 29.2 2000/06/07 14:02:13 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/RCS/blkcpy.h,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1997/04/18 20:41:25
  * File existed as early as:	1997
@@ -30,33 +26,33 @@
  */
 
 
-#if !defined(__BLKCPY_H__)
-#define __BLKCPY_H__
+#if !defined(INCLUDE_BLKCPY_H)
+#define INCLUDE_BLKCPY_H
 
 /*
  * the main copy gateway function
  */
-extern int copystod(VALUE *, long, long, VALUE *, long);
+E_FUNC int copystod(VALUE *, long, long, VALUE *, long);
 
 /*
  * specific copy functions
  */
-extern int copyblk2blk(BLOCK *, long, long, BLOCK *, long, BOOL);
-extern int copyblk2file(BLOCK *, long, long, FILEID, long);
-extern int copyblk2mat(BLOCK *, long, long, MATRIX *, long);
-extern int copyblk2num(BLOCK *, long, long, NUMBER *, long, NUMBER **);
-extern int copyblk2str(BLOCK *, long, long, STRING *, long);
-extern int copyfile2blk(FILEID, long, long, BLOCK *, long, BOOL);
-extern int copylist2list(LIST *, long, long, LIST *, long);
-extern int copylist2mat(LIST *, long, long, MATRIX *, long);
-extern int copymat2blk(MATRIX *, long, long, BLOCK *, long, BOOL);
-extern int copymat2list(MATRIX *, long, long, LIST *, long);
-extern int copymat2mat(MATRIX *, long, long, MATRIX *, long);
-extern int copynum2blk(NUMBER *, long, long, BLOCK *, long, BOOL);
-extern int copyostr2blk(char *, long, long, BLOCK *, long, BOOL);
-extern int copyostr2str(char *, long, long, STRING *, long);
-extern int copystr2blk(STRING *, long, long, BLOCK *, long, BOOL);
-extern int copystr2file(STRING *, long, long, FILEID, long);
-extern int copystr2str(STRING *, long, long, STRING *, long);
+E_FUNC int copyblk2blk(BLOCK *, long, long, BLOCK *, long, BOOL);
+E_FUNC int copyblk2file(BLOCK *, long, long, FILEID, long);
+E_FUNC int copyblk2mat(BLOCK *, long, long, MATRIX *, long);
+E_FUNC int copyblk2num(BLOCK *, long, long, NUMBER *, long, NUMBER **);
+E_FUNC int copyblk2str(BLOCK *, long, long, STRING *, long);
+E_FUNC int copyfile2blk(FILEID, long, long, BLOCK *, long, BOOL);
+E_FUNC int copylist2list(LIST *, long, long, LIST *, long);
+E_FUNC int copylist2mat(LIST *, long, long, MATRIX *, long);
+E_FUNC int copymat2blk(MATRIX *, long, long, BLOCK *, long, BOOL);
+E_FUNC int copymat2list(MATRIX *, long, long, LIST *, long);
+E_FUNC int copymat2mat(MATRIX *, long, long, MATRIX *, long);
+E_FUNC int copynum2blk(NUMBER *, long, long, BLOCK *, long, BOOL);
+E_FUNC int copyostr2blk(char *, long, long, BLOCK *, long, BOOL);
+E_FUNC int copyostr2str(char *, long, long, STRING *, long);
+E_FUNC int copystr2blk(STRING *, long, long, BLOCK *, long, BOOL);
+E_FUNC int copystr2file(STRING *, long, long, FILEID, long);
+E_FUNC int copystr2str(STRING *, long, long, STRING *, long);
 
-#endif /* !__BLKCPY_H__ */
+#endif /* !INCLUDE_BLKCPY_H */

block.c

@@ -1,7 +1,7 @@
 /*
  * block - fixed, dynamic, fifo and circular memory blocks
  *
- * Copyright (C) 1999  Landon Curt Noll and Ernest Bowen
+ * Copyright (C) 1999-2007,2021,2022  Landon Curt Noll and Ernest Bowen
  *
  * Primary author:  Landon Curt Noll
  *
@@ -17,11 +17,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.3 $
- * @(#) $Id: block.c,v 29.3 2006/05/01 19:16:57 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/RCS/block.c,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1997/02/27 00:29:40
  * File existed as early as:	1997
@@ -32,24 +28,34 @@
 
 
 #include <stdio.h>
+#include "have_string.h"
+#ifdef HAVE_STRING_H
+# include <string.h>
+#endif
+#include "alloc.h"
 #include "value.h"
 #include "zmath.h"
 #include "config.h"
 #include "block.h"
 #include "nametype.h"
-#include "string.h"
+#include "str.h"
 #include "calcerr.h"
 
+
+#include "attribute.h"
+#include "banned.h"	/* include after system header <> includes */
+
+
 #define NBLOCKCHUNK 16
 
-static long nblockcount = 0;
-static long maxnblockcount = 0;
-static STRINGHEAD nblocknames;
-static NBLOCK **nblocks;
+STATIC long nblockcount = 0;
+STATIC long maxnblockcount = 0;
+STATIC STRINGHEAD nblocknames;
+STATIC NBLOCK **nblocks;
 
 
 /* forward declarations */
-static void blkchk(BLOCK*);
+S_FUNC void blkchk(BLOCK*);
 
 
 /*
@@ -82,7 +88,7 @@ blkalloc(int len, int chunk)
 	nblk = (BLOCK *)malloc(sizeof(BLOCK));
 	if (nblk == NULL) {
 		math_error("cannot allocate block");
-		/*NOTREACHED*/
+		not_reached();
 	}
 
 	/*
@@ -93,7 +99,7 @@ blkalloc(int len, int chunk)
 	nblk->data = (USB8*)malloc(nblk->maxsize);
 	if (nblk->data == NULL) {
 		math_error("cannot allocate block data storage");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	memset(nblk->data, 0, nblk->maxsize);
 	nblk->datalen = len;
@@ -151,10 +157,10 @@ blk_free(BLOCK *blk)
  *	blk	- the BLOCK to check
  *
  * returns:
- *	if all is ok, otherwise math_error() is called and this
+ *	if all is OK, otherwise math_error() is called and this
  *	function does not return
  */
-static void
+S_FUNC void
 blkchk(BLOCK *blk)
 {
 
@@ -167,7 +173,7 @@ blkchk(BLOCK *blk)
 	}
 	if (blk == NULL) {
 		math_error("internal: blk ptr is NULL");
-		/*NOTREACHED*/
+		not_reached();
 	}
 
 	/*
@@ -175,7 +181,7 @@ blkchk(BLOCK *blk)
 	 */
 	if (blk->data == NULL) {
 		math_error("internal: blk->data ptr is NULL");
-		/*NOTREACHED*/
+		not_reached();
 	}
 
 	/*
@@ -183,7 +189,7 @@ blkchk(BLOCK *blk)
 	 */
 	if (blk->datalen < 0) {
 		math_error("internal: blk->datalen < 0");
-		/*NOTREACHED*/
+		not_reached();
 	}
 
 	/*
@@ -191,7 +197,7 @@ blkchk(BLOCK *blk)
 	 */
 	if (blk->datalen < 0) {
 		math_error("internal: blk->datalen < 0");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	return;
 }
@@ -254,7 +260,7 @@ blkrealloc(BLOCK *blk, int newlen, int newchunk)
 		nblk = (USB8*)realloc(blk->data, newmax);
 		if (nblk == NULL) {
 			math_error("cannot reallocate block storage");
-			/*NOTREACHED*/
+			not_reached();
 		}
 
 		/* clear any new storage */
@@ -295,7 +301,7 @@ 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.
@@ -362,7 +368,7 @@ blktrunc(BLOCK *blk)
 	blk->data = (USB8*)malloc(1);
 	if (blk->data == NULL) {
 		math_error("cannot allocate truncated block storage");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	blk->data[0] = (USB8)0;
 	if (conf->calc_debug & CALCDBG_BLOCK) {
@@ -392,7 +398,7 @@ blk_copy(BLOCK *blk)
 	nblk = (BLOCK *)malloc(sizeof(BLOCK));
 	if (nblk == NULL) {
 		math_error("blk_copy: cannot malloc BLOCK");
-		/*NOTREACHED*/
+		not_reached();
 	}
 
 	/*
@@ -406,7 +412,7 @@ blk_copy(BLOCK *blk)
 	nblk->data = (USB8 *)malloc(blk->maxsize);
 	if (nblk->data == NULL) {
 		math_error("blk_copy: cannot duplicate block data");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	memcpy(nblk->data, blk->data, blk->maxsize);
 	return nblk;
@@ -534,7 +540,7 @@ reallocnblock(int id, int len, int chunk)
 	/* Fire wall */
 	if (id < 0 || id >= nblockcount) {
 		math_error("Bad id in call to reallocnblock");
-		/*NOTREACHED*/
+		not_reached();
 	}
 
 	blk = nblocks[id]->blk;
@@ -551,13 +557,13 @@ reallocnblock(int id, int len, int chunk)
 		newdata = malloc(newsize);
 		if (newdata == NULL) {
 			math_error("Allocation failed");
-			/*NOTREACHED*/
+			not_reached();
 		}
 	} else if (newsize != oldsize) {
 		newdata = realloc(blk->data, newsize);
 		if (newdata == NULL) {
 			math_error("Reallocation failed");
-			/*NOTREACHED*/
+			not_reached();
 		}
 	}
 	memset(newdata + len, 0, newsize - len);
@@ -588,7 +594,7 @@ createnblock(char *name, int len, int chunk)
 			if (nblocks == NULL) {
 				maxnblockcount = 0;
 				math_error("unable to malloc new named blocks");
-				/*NOTREACHED*/
+				not_reached();
 			}
 		} else {
 			maxnblockcount += NBLOCKCHUNK;
@@ -597,7 +603,7 @@ createnblock(char *name, int len, int chunk)
 			if (nblocks == NULL) {
 				maxnblockcount = 0;
 				math_error("cannot malloc more named blocks");
-				/*NOTREACHED*/
+				not_reached();
 			}
 		}
 	}
@@ -605,18 +611,18 @@ createnblock(char *name, int len, int chunk)
 		initstr(&nblocknames);
 	if (findstr(&nblocknames, name) >= 0) {
 		math_error("Named block already exists!!!");
-		/*NOTREACHED*/
+		not_reached();
 	}
 	newname = addstr(&nblocknames, name);
 	if (newname == NULL) {
 		math_error("Block name allocation failed");
-		/*NOTREACHED*/
+		not_reached();
 	}
 
 	res = (NBLOCK *) malloc(sizeof(NBLOCK));
 	if (res == NULL) {
 		math_error("Named block allocation failed");
-		/*NOTREACHED*/
+		not_reached();
 	}
 
 	nblocks[nblockcount] = res;

block.h

@@ -1,7 +1,7 @@
 /*
  * block - fixed, dynamic, fifo and circular memory blocks
  *
- * Copyright (C) 1999  Landon Curt Noll and Ernest Bowen
+ * Copyright (C) 1999-2007,2014,2021  Landon Curt Noll and Ernest Bowen
  *
  * Primary author:  Landon Curt Noll
  *
@@ -17,11 +17,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: block.h,v 29.2 2000/06/07 14:02:13 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/RCS/block.h,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1997/02/21 05:03:39
  * File existed as early as:	1997
@@ -31,8 +27,8 @@
  */
 
 
-#if !defined(__BLOCK_H__)
-#define __BLOCK_H__
+#if !defined(INCLUDE_BLOCK_H)
+#define INCLUDE_BLOCK_H
 
 
 /*
@@ -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
  *
@@ -160,7 +156,7 @@ typedef struct nblock NBLOCK;
 /*
  * block debug
  */
-extern int blk_debug;	/* 0 => debug off */
+EXTERN int blk_debug;	/* 0 => debug off */
 
 
 /*
@@ -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 */
@@ -204,22 +200,22 @@ typedef USB8 OCTET;
 /*
  * external functions
  */
-extern BLOCK *blkalloc(int, int);
-extern void blk_free(BLOCK*);
-extern BLOCK *blkrealloc(BLOCK*, int, int);
-extern void blktrunc(BLOCK*);
-extern BLOCK *blk_copy(BLOCK*);
-extern int blk_cmp(BLOCK*, BLOCK*);
-extern void blk_print(BLOCK*);
-extern void nblock_print(NBLOCK *);
-extern NBLOCK *createnblock(char *, int, int);
-extern NBLOCK *reallocnblock(int, int, int);
-extern int removenblock(int);
-extern int findnblockid(char *);
-extern NBLOCK *findnblock(int);
-extern BLOCK *copyrealloc(BLOCK*, int, int);
-extern int countnblocks(void);
-extern void shownblocks(void);
+E_FUNC BLOCK *blkalloc(int, int);
+E_FUNC void blk_free(BLOCK*);
+E_FUNC BLOCK *blkrealloc(BLOCK*, int, int);
+E_FUNC void blktrunc(BLOCK*);
+E_FUNC BLOCK *blk_copy(BLOCK*);
+E_FUNC int blk_cmp(BLOCK*, BLOCK*);
+E_FUNC void blk_print(BLOCK*);
+E_FUNC void nblock_print(NBLOCK *);
+E_FUNC NBLOCK *createnblock(char *, int, int);
+E_FUNC NBLOCK *reallocnblock(int, int, int);
+E_FUNC int removenblock(int);
+E_FUNC int findnblockid(char *);
+E_FUNC NBLOCK *findnblock(int);
+E_FUNC BLOCK *copyrealloc(BLOCK*, int, int);
+E_FUNC int countnblocks(void);
+E_FUNC void shownblocks(void);
 
 
-#endif /* !__BLOCK_H__ */
+#endif /* !INCLUDE_BLOCK_H */

byteswap.c

@@ -1,7 +1,7 @@
 /*
  * byteswap - byte swapping routines
  *
- * Copyright (C) 1999  Landon Curt Noll
+ * Copyright (C) 1999,2021,2022  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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: byteswap.c,v 29.2 2000/06/07 14:02:13 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/RCS/byteswap.c,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1995/10/11 04:44:01
  * File existed as early as:	1995
@@ -33,11 +29,15 @@
 #include "byteswap.h"
 
 
+#include "attribute.h"
+#include "banned.h"	/* include after system header <> includes */
+
+
 /*
  * swap_b8_in_HALFs - swap 8 and if needed, 16 bits in an array of HALFs
  *
  * given:
- *	dest	- pointer to where the swapped src wil be put or
+ *	dest	- pointer to where the swapped src will be put or
  *		  NULL to allocate the storage
  *	src	- pointer to a HALF array to swap
  *	len	- length of the src HALF array
@@ -77,11 +77,11 @@ swap_b8_in_HALFs(HALF *dest, HALF *src, LEN len)
  * swap_b8_in_ZVALUE - swap 8 and if needed, 16 bits in a ZVALUE
  *
  * given:
- *	dest	- pointer to where the swapped src wil be put or
+ *	dest	- pointer to where the swapped src will be put or
  *		  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
@@ -102,8 +102,9 @@ swap_b8_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
 		 */
 		dest = malloc(sizeof(ZVALUE));
 		if (dest == NULL) {
-			math_error("swap_b8_in_ZVALUE: swap_b8_in_ZVALUE: Not enough memory");
-			/*NOTREACHED*/
+			math_error("swap_b8_in_ZVALUE: swap_b8_in_ZVALUE: "
+				    "Not enough memory");
+			not_reached();
 		}
 
 		/*
@@ -126,8 +127,8 @@ swap_b8_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
 	 * swap or copy the rest of the ZVALUE elements
 	 */
 	if (all) {
-		dest->len = (LEN)SWAP_B8_IN_LEN(&dest->len, &src->len);
-		dest->sign = (BOOL)SWAP_B8_IN_BOOL(&dest->sign, &src->sign);
+		SWAP_B8_IN_LEN(&dest->len, &src->len);
+		SWAP_B8_IN_BOOL(&dest->sign, &src->sign);
 	} else {
 		dest->len = src->len;
 		dest->sign = src->sign;
@@ -144,11 +145,11 @@ swap_b8_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
  * swap_b8_in_NUMBER - swap 8 and if needed, 16 bits in a NUMBER
  *
  * given:
- *	dest	- pointer to where the swapped src wil be put or
+ *	dest	- pointer to where the swapped src will be put or
  *		  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
@@ -170,7 +171,7 @@ swap_b8_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all)
 		dest = malloc(sizeof(NUMBER));
 		if (dest == NULL) {
 			math_error("swap_b8_in_NUMBER: Not enough memory");
-			/*NOTREACHED*/
+			not_reached();
 		}
 
 		/*
@@ -192,7 +193,7 @@ swap_b8_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all)
 	 * swap or copy the rest of the NUMBER elements
 	 */
 	if (all) {
-		dest->links = (long)SWAP_B8_IN_LONG(&dest->links, &src->links);
+		SWAP_B8_IN_LONG(&dest->links, &src->links);
 	} else {
 		dest->links = src->links;
 	}
@@ -208,11 +209,11 @@ swap_b8_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all)
  * swap_b8_in_COMPLEX - swap 8 and if needed, 16 bits in a COMPLEX
  *
  * given:
- *	dest	- pointer to where the swapped src wil be put or
+ *	dest	- pointer to where the swapped src will be put or
  *		  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
@@ -234,7 +235,7 @@ swap_b8_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all)
 		dest = malloc(sizeof(COMPLEX));
 		if (dest == NULL) {
 			math_error("swap_b8_in_COMPLEX: Not enough memory");
-			/*NOTREACHED*/
+			not_reached();
 		}
 
 		/*
@@ -256,7 +257,7 @@ swap_b8_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all)
 	 * swap or copy the rest of the NUMBER elements
 	 */
 	if (all) {
-		dest->links = (long)SWAP_B8_IN_LONG(&dest->links, &src->links);
+		SWAP_B8_IN_LONG(&dest->links, &src->links);
 	} else {
 		dest->links = src->links;
 	}
@@ -272,7 +273,7 @@ swap_b8_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all)
  * swap_b16_in_HALFs - swap 16 bits in an array of HALFs
  *
  * given:
- *	dest	- pointer to where the swapped src wil be put or
+ *	dest	- pointer to where the swapped src will be put or
  *		  NULL to allocate the storage
  *	src	- pointer to a HALF array to swap
  *	len	- length of the src HALF array
@@ -312,11 +313,11 @@ swap_b16_in_HALFs(HALF *dest, HALF *src, LEN len)
  * swap_b16_in_ZVALUE - swap 16 bits in a ZVALUE
  *
  * given:
- *	dest	- pointer to where the swapped src wil be put or
+ *	dest	- pointer to where the swapped src will be put or
  *		  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
@@ -338,7 +339,7 @@ swap_b16_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
 		dest = malloc(sizeof(ZVALUE));
 		if (dest == NULL) {
 			math_error("swap_b16_in_ZVALUE: Not enough memory");
-			/*NOTREACHED*/
+			not_reached();
 		}
 
 		/*
@@ -361,8 +362,8 @@ swap_b16_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
 	 * swap or copy the rest of the ZVALUE elements
 	 */
 	if (all) {
-		dest->len = (LEN)SWAP_B16_IN_LEN(&dest->len, &src->len);
-		dest->sign = (BOOL)SWAP_B16_IN_BOOL(&dest->sign, &src->sign);
+		SWAP_B16_IN_LEN(&dest->len, &src->len);
+		SWAP_B16_IN_BOOL(&dest->sign, &src->sign);
 	} else {
 		dest->len = src->len;
 		dest->sign = src->sign;
@@ -379,11 +380,11 @@ swap_b16_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
  * swap_b16_in_NUMBER - swap 16 bits in a NUMBER
  *
  * given:
- *	dest	- pointer to where the swapped src wil be put or
+ *	dest	- pointer to where the swapped src will be put or
  *		  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
@@ -405,7 +406,7 @@ swap_b16_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all)
 		dest = malloc(sizeof(NUMBER));
 		if (dest == NULL) {
 			math_error("swap_b16_in_NUMBER: Not enough memory");
-			/*NOTREACHED*/
+			not_reached();
 		}
 
 		/*
@@ -427,7 +428,7 @@ swap_b16_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all)
 	 * swap or copy the rest of the NUMBER elements
 	 */
 	if (all) {
-		dest->links = (long)SWAP_B16_IN_LONG(&dest->links, &src->links);
+		SWAP_B16_IN_LONG(&dest->links, &src->links);
 	} else {
 		dest->links = src->links;
 	}
@@ -443,11 +444,11 @@ swap_b16_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all)
  * swap_b16_in_COMPLEX - swap 16 bits in a COMPLEX
  *
  * given:
- *	dest	- pointer to where the swapped src wil be put or
+ *	dest	- pointer to where the swapped src will be put or
  *		  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
@@ -469,7 +470,7 @@ swap_b16_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all)
 		dest = malloc(sizeof(COMPLEX));
 		if (dest == NULL) {
 			math_error("swap_b16_in_COMPLEX: Not enough memory");
-			/*NOTREACHED*/
+			not_reached();
 		}
 
 		/*
@@ -491,7 +492,7 @@ swap_b16_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all)
 	 * swap or copy the rest of the NUMBER elements
 	 */
 	if (all) {
-		dest->links = (long)SWAP_B16_IN_LONG(&dest->links, &src->links);
+		SWAP_B16_IN_LONG(&dest->links, &src->links);
 	} else {
 		dest->links = src->links;
 	}
@@ -507,11 +508,11 @@ swap_b16_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all)
  * swap_HALF_in_ZVALUE - swap HALFs in a ZVALUE
  *
  * given:
- *	dest	- pointer to where the swapped src wil be put or
+ *	dest	- pointer to where the swapped src will be put or
  *		  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
@@ -533,7 +534,7 @@ swap_HALF_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
 		dest = malloc(sizeof(ZVALUE));
 		if (dest == NULL) {
 			math_error("swap_HALF_in_ZVALUE: Not enough memory");
-			/*NOTREACHED*/
+			not_reached();
 		}
 
 		/*
@@ -557,8 +558,8 @@ swap_HALF_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
 	 * swap or copy the rest of the ZVALUE elements
 	 */
 	if (all) {
-		dest->len = (LEN)SWAP_HALF_IN_LEN(&dest->len, &src->len);
-		dest->sign = (BOOL)SWAP_HALF_IN_BOOL(&dest->sign, &src->sign);
+		SWAP_HALF_IN_LEN(&dest->len, &src->len);
+		SWAP_HALF_IN_BOOL(&dest->sign, &src->sign);
 	} else {
 		dest->len = src->len;
 		dest->sign = src->sign;
@@ -575,11 +576,11 @@ swap_HALF_in_ZVALUE(ZVALUE *dest, ZVALUE *src, BOOL all)
  * swap_HALF_in_NUMBER - swap HALFs in a NUMBER
  *
  * given:
- *	dest	- pointer to where the swapped src wil be put or
+ *	dest	- pointer to where the swapped src will be put or
  *		  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
@@ -601,7 +602,7 @@ swap_HALF_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all)
 		dest = malloc(sizeof(NUMBER));
 		if (dest == NULL) {
 			math_error("swap_HALF_in_NUMBER: Not enough memory");
-			/*NOTREACHED*/
+			not_reached();
 		}
 
 		/*
@@ -623,7 +624,7 @@ swap_HALF_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all)
 	 * swap or copy the rest of the NUMBER elements
 	 */
 	if (all) {
-		dest->links = (long)SWAP_HALF_IN_LONG(&dest->links,&src->links);
+		SWAP_HALF_IN_LONG(&dest->links, &src->links);
 	} else {
 		dest->links = src->links;
 	}
@@ -639,11 +640,11 @@ swap_HALF_in_NUMBER(NUMBER *dest, NUMBER *src, BOOL all)
  * swap_HALF_in_COMPLEX - swap HALFs in a COMPLEX
  *
  * given:
- *	dest	- pointer to where the swapped src wil be put or
+ *	dest	- pointer to where the swapped src will be put or
  *		  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
@@ -665,7 +666,7 @@ swap_HALF_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all)
 		dest = malloc(sizeof(COMPLEX));
 		if (dest == NULL) {
 			math_error("swap_HALF_in_COMPLEX: Not enough memory");
-			/*NOTREACHED*/
+			not_reached();
 		}
 
 		/*
@@ -687,7 +688,7 @@ swap_HALF_in_COMPLEX(COMPLEX *dest, COMPLEX *src, BOOL all)
 	 * swap or copy the rest of the NUMBER elements
 	 */
 	if (all) {
-		dest->links = (long)SWAP_HALF_IN_LONG(&dest->links,&src->links);
+		SWAP_HALF_IN_LONG(&dest->links, &src->links);
 	} else {
 		dest->links = src->links;
 	}

byteswap.h

@@ -1,7 +1,7 @@
 /*
  * byteswap - byte swapping macros
  *
- * Copyright (C) 1999  Landon Curt Noll
+ * 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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.4 $
- * @(#) $Id: byteswap.h,v 29.4 2001/06/08 21:00:58 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/RCS/byteswap.h,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1995/10/11 04:44:01
  * File existed as early as:	1995
@@ -29,8 +25,8 @@
  */
 
 
-#if !defined(__BYTESWAP_H__)
-#define __BYTESWAP_H__
+#if !defined(INCLUDE_BYTESWAP_H)
+#define INCLUDE_BYTESWAP_H
 
 
 #if defined(CALC_SRC)	/* if we are building from the calc source tree */
@@ -43,7 +39,7 @@
 /*
  * SWAP_B8_IN_B16 - swap 8 bits in 16 bits
  *
- *	dest	- pointer to where the swapped src wil be put
+ *	dest	- pointer to where the swapped src will be put
  *	src	- pointer to a 16 bit value to swap
  *
  * This macro will either switch to the opposite byte sex (Big Endian vs.
@@ -57,7 +53,7 @@
 /*
  * SWAP_B16_IN_B32 - swap 16 bits in 32 bits
  *
- *	dest	- pointer to where the swapped src wil be put
+ *	dest	- pointer to where the swapped src will be put
  *	src	- pointer to a 32 bit value to swap
  */
 #define SWAP_B16_IN_B32(dest, src) (					\
@@ -68,7 +64,7 @@
 /*
  * SWAP_B8_IN_B32 - swap 8 & 16 bits in 32 bits
  *
- *	dest	- pointer to where the swapped src wil be put
+ *	dest	- pointer to where the swapped src will be put
  *	src	- pointer to a 32 bit value to swap
  *
  * This macro will either switch to the opposite byte sex (Big Endian vs.
@@ -86,7 +82,7 @@
 /*
  * SWAP_B32_IN_B64 - swap 32 bits in 64 bits
  *
- *	dest	- pointer to where the swapped src wil be put
+ *	dest	- pointer to where the swapped src will be put
  *	src	- pointer to a 64 bit value to swap
  */
 #define SWAP_B32_IN_B64(dest, src) (					\
@@ -97,7 +93,7 @@
 /*
  * SWAP_B16_IN_B64 - swap 16 & 32 bits in 64 bits
  *
- *	dest	- pointer to where the swapped src wil be put
+ *	dest	- pointer to where the swapped src will be put
  *	src	- pointer to a 64 bit value to swap
  */
 #define SWAP_B16_IN_B64(dest, src) (					\
@@ -110,7 +106,7 @@
 /*
  * SWAP_B8_IN_B64 - swap 16 & 32 bits in 64 bits
  *
- *	dest	- pointer to where the swapped src wil be put
+ *	dest	- pointer to where the swapped src will be put
  *	src	- pointer to a 64 bit value to swap
  *
  * This macro will either switch to the opposite byte sex (Big Endian vs.
@@ -128,7 +124,7 @@
 /*
  * SWAP_B32_IN_B64 - swap 32 bits in 64 bits (simulated by 2 32 bit values)
  *
- *	dest	- pointer to where the swapped src wil be put
+ *	dest	- pointer to where the swapped src will be put
  *	src	- pointer to a 64 bit value to swap
  */
 #define SWAP_B32_IN_B64(dest, src) (					\
@@ -139,7 +135,7 @@
 /*
  * SWAP_B16_IN_B64 - swap 16 & 32 bits in 64 bits (simulated by 2 32 bit vals)
  *
- *	dest	- pointer to where the swapped src wil be put
+ *	dest	- pointer to where the swapped src will be put
  *	src	- pointer to a 64 bit value to swap
  */
 #define SWAP_B16_IN_B64(dest, src) (					\
@@ -150,7 +146,7 @@
 /*
  * SWAP_B8_IN_B64 - swap 16 & 32 bits in 64 bits (simulated by 2 32 bit vals)
  *
- *	dest	- pointer to where the swapped src wil be put
+ *	dest	- pointer to where the swapped src will be put
  *	src	- pointer to a 64 bit value to swap
  *
  * This macro will either switch to the opposite byte sex (Big Endian vs.
@@ -178,4 +174,4 @@
 #endif /* LONG_BITS == 64 */
 
 
-#endif /* !__BYTESWAP_H__ */
+#endif /* !INCLUDE_BYTESWAP_H */

cal/Makefile

@@ -2,7 +2,15 @@
 #
 # cal - makefile for calc standard resource files
 #
-# Copyright (C) 1999  Landon Curt Noll
+# Copyright (C) 1999-2006,2017,2021,2022  Landon Curt Noll
+#
+# SRC: cal/Makefile
+#
+#	The "# SRC: ... - ..." comment line above indicates
+#	the origin of this file.
+#
+# IMPORTANT: Please see the section on Makefiles near the
+#	     bottom of the HOWTO.INSTALL file.
 #
 # 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
@@ -16,11 +24,7 @@
 # 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.
-# 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
-#
-# @(#) $Revision: 29.22 $
-# @(#) $Id: Makefile,v 29.22 2006/09/18 00:08:42 chongo Exp $
-# @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/Makefile,v $
+# 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 #
 # Under source code control:	1991/07/21 05:00:54
 # File existed as early as:	1991
@@ -31,16 +35,77 @@
 # calculator by David I. Bell with help/mods from others
 # Makefile by Landon Curt Noll
 
-# required vars
+
+# The shell used by this Makefile
 #
-SHELL = /bin/sh
-MAKE_FILE = Makefile
+# On some systems, /bin/sh is a rather reduced shell with
+# deprecated behavior.
+#
+# If your system has a up to date, bash shell, then
+# you may wish to use:
+#
+#	SHELL= /bin/bash
+#
+# On some systems such as macOS, the bash shell is very
+# far behind to the point where is cannot be depended on.
+# On such systems, the sh may be a much better alternative
+# shell for this Makefile to use:
+#
+#	SHELL= /bin/sh
+#
+SHELL= /bin/bash
+#SHELL= /bin/sh
+#if 0	/* start of skip for non-Gnu makefiles */
+ifeq ($(target),Darwin)
+SHELL:= /bin/zsh
+endif
+#endif	/* end of skip for non-Gnu makefiles */
+
 
 ####
 # Normally, the upper level makefile will set these values.  We provide
 # a default here just in case you want to build from this directory.
 ####
 
+# PREFIX - Top level location for calc
+#
+# The PREFIX is often prepended to paths within calc and calc Makefiles.
+#
+# Starting with calc v2.13.0.1, nearly all Makefile places that used
+# /usr/local now use ${PREFIX}.  An exception is the olduninstall rule
+# and, of course, this section. :-)
+#
+# NOTE: The ${PREFIX} is not the same as ${T}.  The ${T} specifies
+#	a top level directory under which calc installs things.
+#	While usually ${T} is empty, it can be specific path
+#	as if calc where "chrooted" during an install.
+#	The ${PREFIX} value, during install, is a path between
+#	the top level ${T} install directory and the object
+#	such as an include file.
+#
+# NOTE: See also, ${T}, below.
+#
+# There are some paths that do NOT call under ${PREFIX}, such as
+# ${CALCPATH}, that include paths not under ${PREFIX}, but those
+# too are exceptions to this general rule.
+#
+# When in doubt, try:
+#
+#	PREFIX= /usr/local
+#
+PREFIX= /usr/local
+#PREFIX= /usr
+#PREFIX= /usr/global
+
+# Normally certain files depend on the Makefile.  If the Makefile is
+# changed, then certain steps should be redone.  If MAKE_FILE is
+# set to Makefile, then these files will depend on Makefile.  If
+# MAKE_FILE is empty, then they wont.
+#
+# If in doubt, set MAKE_FILE to Makefile
+#
+MAKE_FILE= Makefile
+
 # Where the system include (.h) files are kept
 #
 # For DJGPP, select:
@@ -52,19 +117,19 @@ MAKE_FILE = Makefile
 #	INCDIR= /usr/include
 #
 
-#INCDIR= /usr/local/include
+#INCDIR= ${PREFIX}/include
 #INCDIR= /dev/env/DJDIR/include
 INCDIR= /usr/include
 
-# where to install calc realted things
+# where to install calc related things
 #
 # ${BINDIR}		where to install calc binary files
 # ${LIBDIR}		where calc link library (*.a) files are installed
 # ${CALC_SHAREDIR}	where to install calc help, .cal, startup, config files
 #
-# NOTE: The install rule prepends installation paths with $T, which
-#	by default is empty.  If $T is non-empty, then installation
-#	locations will be relative to the $T directory.
+# NOTE: The install rule prepends installation paths with ${T}, which
+#	by default is empty.  If ${T} is non-empty, then installation
+#	locations will be relative to the ${T} directory.
 #
 # For DJGPP, select:
 #
@@ -78,15 +143,15 @@ INCDIR= /usr/include
 #	LIBDIR= /usr/lib
 #	CALC_SHAREDIR= /usr/share/calc
 #
-#BINDIR= /usr/local/bin
+#BINDIR= ${PREFIX}/bin
 #BINDIR= /dev/env/DJDIR/bin
 BINDIR= /usr/bin
 
-#LIBDIR= /usr/local/lib
+#LIBDIR= ${PREFIX}/lib
 #LIBDIR= /dev/env/DJDIR/lib
 LIBDIR= /usr/lib
 
-#CALC_SHAREDIR= /usr/local/lib/calc
+#CALC_SHAREDIR= ${PREFIX}/lib/calc
 #CALC_SHAREDIR= /dev/env/DJDIR/share/calc
 CALC_SHAREDIR= /usr/share/calc
 
@@ -94,35 +159,26 @@ CALC_SHAREDIR= /usr/share/calc
 # ---------------------------------------------------------------
 # ${HELPDIR}		where the help directory is installed
 # ${CALC_INCDIR}	where the calc include files are installed
-# ${CUSTOMCALDIR}	where custom *.cal files are installed
-# ${CUSTOMHELPDIR}	where custom help files are installed
-# ${CUSTOMINCPDIR}	where custom .h files are installed
 # ${SCRIPTDIR}		where calc shell scripts are installed
 #
-# NOTE: The install rule prepends installation paths with $T, which
-#	by default is empty.  If $T is non-empty, then installation
-#	locations will be relative to the $T directory.
+# NOTE: The install rule prepends installation paths with ${T}, which
+#	by default is empty.  If ${T} is non-empty, then installation
+#	locations will be relative to the ${T} directory.
 #
 # If in doubt, set:
 #
 #	HELPDIR= ${CALC_SHAREDIR}/help
 #	CALC_INCDIR= ${INCDIR}/calc
-#	CUSTOMCALDIR= ${CALC_SHAREDIR}/custom
-#	CUSTOMHELPDIR= ${CALC_SHAREDIR}/custhelp
-#	CUSTOMINCDIR= ${CALC_INCDIR}/custom
 #	SCRIPTDIR= ${BINDIR}/cscript
 #
 HELPDIR= ${CALC_SHAREDIR}/help
 CALC_INCDIR= ${INCDIR}/calc
-CUSTOMCALDIR= ${CALC_SHAREDIR}/custom
-CUSTOMHELPDIR= ${CALC_SHAREDIR}/custhelp
-CUSTOMINCDIR= ${CALC_INCDIR}/custom
 SCRIPTDIR= ${BINDIR}/cscript
 
 # T - top level directory under which calc will be installed
 #
-# The calc install is performed under $T, the calc build is
-# performed under /.	The purpose for $T is to allow someone
+# The calc install is performed under ${T}, the calc build is
+# performed under /.	The purpose for ${T} is to allow someone
 # to install calc somewhere other than into the system area.
 #
 # For example, if:
@@ -142,10 +198,10 @@ SCRIPTDIR= ${BINDIR}/cscript
 #     calc help, .cal ...:	/var/tmp/testing/usr/share/calc
 #     ... etc ...		/var/tmp/testing/...
 #
-# If $T is empty, calc is installed under /, which is the same
-# top of tree for which it was built.  If $T is non-empty, then
-# calc is installed under $T, as if one had to chroot under
-# $T for calc to operate.
+# If ${T} is empty, calc is installed under /, which is the same
+# top of tree for which it was built.  If ${T} is non-empty, then
+# calc is installed under ${T}, as if one had to chroot under
+# ${T} for calc to operate.
 #
 # If in doubt, use T=
 #
@@ -153,31 +209,82 @@ T=
 
 # Makefile debug
 #
-# Q=@	do not echo internal makefile actions (quiet mode)
-# Q=	echo internal makefile actions (debug / verbose mode)
+# Q=@	do not echo internal Makefile actions (quiet mode)
+# Q=	echo internal Makefile actions (debug / verbose mode)
+#
+# H=@:	do not report hsrc file formation progress
+# H=@	do echo hsrc file formation progress
+#
+# S= >/dev/null 2>&1	silence ${CC} output during hsrc file formation
+# S=			full ${CC} output during hsrc file formation
+#
+# E= 2>/dev/null	silence command stderr during hsrc file formation
+# E=			full command stderr during hsrc file formation
+#
+# V=@:	do not echo debug statements (quiet mode)
+# V=@	do echo debug statements (debug / verbose mode)
 #
 #Q=
 Q=@
+#
+S= >/dev/null 2>&1
+#S=
+#
+E= 2>/dev/null
+#E=
+#
+#H=@:
+H=@
+#
+V=@:
+#V=@
 
 # standard tools
 #
 CHMOD= chmod
 CMP= cmp
+CO= co
+CP= cp
+FMT= fmt
+MKDIR= mkdir
+MV= mv
+RM= rm
+RMDIR= rmdir
+SED= sed
+SORT= sort
+TOUCH= touch
+TRUE= true
 
 # The calc files to install
 #
-CALC_FILES= README bigprime.cal deg.cal ellip.cal lucas.cal lucas_chk.cal \
-	lucas_tbl.cal mersenne.cal mod.cal pell.cal pi.cal pix.cal \
-	pollard.cal poly.cal psqrt.cal quat.cal regress.cal solve.cal \
-	sumsq.cal surd.cal unitfrac.cal varargs.cal chrem.cal mfactor.cal \
-	bindings randmprime.cal test1700.cal randrun.cal linear.cal \
-	randbitrun.cal bernoulli.cal test2300.cal test2600.cal \
-	test2700.cal test3100.cal test3300.cal test3400.cal prompt.cal \
-	test3500.cal seedrandom.cal test4000.cal test4100.cal test4600.cal \
-	beer.cal hello.cal test5100.cal test5200.cal randombitrun.cal \
-	randomrun.cal repeat.cal xx_print.cal natnumset.cal qtime.cal \
-	test8400.cal test8500.cal test8600.cal chi.cal intfile.cal screen.cal \
-	dotest.cal set8700.cal set8700.line alg_config.cal sumtimes.cal
+# 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.
+#
+CALC_FILES= README alg_config.cal beer.cal bernoulli.cal \
+	bernpoly.cal bigprime.cal bindings brentsolve.cal chi.cal chrem.cal \
+	constants.cal deg.cal dms.cal dotest.cal ellip.cal factorial.cal \
+	factorial2.cal gvec.cal hello.cal hms.cal infinities.cal intfile.cal \
+	intnum.cal lambertw.cal linear.cal lnseries.cal lucas.cal \
+	lucas_chk.cal mersenne.cal mfactor.cal mod.cal natnumset.cal \
+	palindrome.cal pell.cal pi.cal pix.cal pollard.cal poly.cal prompt.cal \
+	psqrt.cal qtime.cal quat.cal randbitrun.cal randmprime.cal \
+	randombitrun.cal randomrun.cal randrun.cal regress.cal repeat.cal \
+	screen.cal seedrandom.cal set8700.cal set8700.line smallfactors.cal \
+	solve.cal specialfunctions.cal statistics.cal strings.cal sumsq.cal \
+	sumtimes.cal surd.cal test1700.cal test2300.cal test2600.cal \
+	test2700.cal test3100.cal test3300.cal test3400.cal test3500.cal \
+	test4000.cal test4100.cal test4600.cal test5100.cal test5200.cal \
+	test8400.cal test8500.cal test8600.cal test8900.cal toomcook.cal \
+	unitfrac.cal varargs.cal xx_print.cal zeta2.cal
+
+# These calc files are now obsolete and are removed by the install rule.
+#
+DEAD_CALC_FILES= lucas_tbl.cal
 
 # These files are found (but not built) in the distribution
 #
@@ -186,14 +293,20 @@ DISTLIST= ${CALC_FILES} ${MAKE_FILE}
 # These files are used to make (but not built) a calc .a link library
 #
 CALCLIBLIST=
+#
+# rules that are not also names of files
+#
+PHONY= all clobber distlist install
 
 all: ${CALC_FILES} ${MAKE_FILE} .all
 
 # used by the upper level Makefile to determine of we have done all
 #
 .all:
-	rm -f .all
-	touch .all
+	${RM} -f .all
+	${TOUCH} .all
+
+.PHONY: ${PHONY}
 
 ##
 #
@@ -204,7 +317,7 @@ 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*
 #
 ##
 
@@ -225,6 +338,21 @@ calcliblist:
 	    fi; \
 	done
 
+# These next rule help form the ${CALC_FILES} makefile variables above.
+#
+calc_files_list:
+	${Q} -(find .  -mindepth 1 -maxdepth 1 -type f -name '*.cal' -print | \
+	    while read i; do \
+		echo $$i; \
+	    done; \
+	    echo '--first_line--'; \
+	    echo README; \
+	    echo set8700.line; \
+	    echo bindings) | \
+	    ${SED} -e 's:^\./::' | LANG=C ${SORT} | ${FMT} -70 | \
+	    ${SED} -e '1s/--first_line--/CALC_FILES=/' -e '2,$$s/^/	/' \
+		   -e 's/$$/ \\/' -e '$$s/ \\$$//'
+
 ##
 #
 # rpm rules
@@ -246,38 +374,68 @@ echo_inst_files:
 
 clean:
 
-clobber:
-	rm -f .all
+clobber: clean
+	${RM} -f .all
+	-${Q} if [ -e .DS_Store ]; then \
+	    echo ${RM} -rf .DS_Store; \
+	    ${RM} -rf .DS_Store; \
+	fi
+	-${Q} for i in ${DEAD_CALC_FILES} /dev/null; do \
+	    if [ "$$i" = "/dev/null" ]; then \
+		continue; \
+	    fi; \
+	    if [ -e "${T}${CALC_SHAREDIR}/$$i" ]; then \
+		echo "${RM} -f ${T}${CALC_SHAREDIR}/$$i"; \
+		${RM} -f ${T}${CALC_SHAREDIR}/$$i; \
+	    fi; \
+	    if [ -e "./$$i" ]; then \
+		echo "${RM} -f ./$$i"; \
+		${RM} -f ./$$i; \
+	    fi; \
+	done
 
 # install everything
 #
 # NOTE: Keep the uninstall rule in reverse order to the install rule
 #
 install: all
-	-${Q} if [ ! -d $T${CALC_SHAREDIR} ]; then \
-	    echo mkdir $T${CALC_SHAREDIR}; \
-	    mkdir $T${CALC_SHAREDIR}; \
-	    if [ ! -d "$T${CALC_SHAREDIR}" ]; then \
-		echo mkdir -p "$T${CALC_SHAREDIR}"; \
-		mkdir -p "$T${CALC_SHAREDIR}"; \
+	-${Q} if [ ! -d ${T}${CALC_SHAREDIR} ]; then \
+	    echo ${MKDIR} -p ${T}${CALC_SHAREDIR}; \
+	    ${MKDIR} -p ${T}${CALC_SHAREDIR}; \
+	    if [ ! -d "${T}${CALC_SHAREDIR}" ]; then \
+		echo ${MKDIR} -p "${T}${CALC_SHAREDIR}"; \
+		${MKDIR} -p "${T}${CALC_SHAREDIR}"; \
 	    fi; \
-	    echo ${CHMOD} 0755 $T${CALC_SHAREDIR}; \
-	    ${CHMOD} 0755 $T${CALC_SHAREDIR}; \
+	    echo ${CHMOD} 0755 ${T}${CALC_SHAREDIR}; \
+	    ${CHMOD} 0755 ${T}${CALC_SHAREDIR}; \
 	else \
-	    true; \
+	    ${TRUE}; \
 	fi
 	${Q} for i in ${CALC_FILES} /dev/null; do \
 	    if [ "$$i" = "/dev/null" ]; then \
 		continue; \
 	    fi; \
-	    if ${CMP} -s $$i $T${CALC_SHAREDIR}/$$i; then \
-		true; \
+	    if ${CMP} -s $$i ${T}${CALC_SHAREDIR}/$$i; then \
+		${TRUE}; \
 	    else \
-		rm -f $T${CALC_SHAREDIR}/$$i.new; \
-		cp -f $$i $T${CALC_SHAREDIR}/$$i.new; \
-		${CHMOD} 0444 $T${CALC_SHAREDIR}/$$i.new; \
-		mv -f $T${CALC_SHAREDIR}/$$i.new $T${CALC_SHAREDIR}/$$i; \
-		echo "installed $T${CALC_SHAREDIR}/$$i"; \
+		${RM} -f ${T}${CALC_SHAREDIR}/$$i.new; \
+		${CP} -f $$i ${T}${CALC_SHAREDIR}/$$i.new; \
+		${CHMOD} 0444 ${T}${CALC_SHAREDIR}/$$i.new; \
+		${MV} -f ${T}${CALC_SHAREDIR}/$$i.new ${T}${CALC_SHAREDIR}/$$i;\
+		echo "installed ${T}${CALC_SHAREDIR}/$$i"; \
+	    fi; \
+	done
+	${Q} for i in ${DEAD_CALC_FILES} /dev/null; do \
+	    if [ "$$i" = "/dev/null" ]; then \
+		continue; \
+	    fi; \
+	    if [ -e "${T}${CALC_SHAREDIR}/$$i" ]; then \
+		echo "${RM} -f ${T}${CALC_SHAREDIR}/$$i"; \
+		${RM} -f ${T}${CALC_SHAREDIR}/$$i; \
+	    fi; \
+	    if [ -e "./$$i" ]; then \
+		echo "${RM} -f ./$$i"; \
+		${RM} -f ./$$i; \
 	    fi; \
 	done
 
@@ -286,22 +444,35 @@ install: all
 # NOTE: Keep the uninstall rule in reverse order to the install rule
 #
 uninstall:
+	- ${Q} for i in ${DEAD_CALC_FILES} /dev/null; do \
+	    if [ "$$i" = "/dev/null" ]; then \
+		continue; \
+	    fi; \
+	    if [ -e "${T}${CALC_SHAREDIR}/$$i" ]; then \
+		echo "${RM} -f ${T}${CALC_SHAREDIR}/$$i"; \
+		${RM} -f ${T}${CALC_SHAREDIR}/$$i; \
+	    fi; \
+	    if [ -e "./$$i" ]; then \
+		echo "${RM} -f ./$$i"; \
+		${RM} -f ./$$i; \
+	    fi; \
+	done
 	-${Q} for i in ${CALC_FILES} /dev/null; do \
 	    if [ "$$i" = "/dev/null" ]; then \
 		continue; \
 	    fi; \
-	    if [ -f "$T${CALC_SHAREDIR}/$$i" ]; then \
-	    	rm -f "$T${CALC_SHAREDIR}/$$i"; \
-		if [ -f "$T${CALC_SHAREDIR}/$$i" ]; then \
-		   echo "cannot uninstall $T${CALC_SHAREDIR}/$$i"; \
+	    if [ -f "${T}${CALC_SHAREDIR}/$$i" ]; then \
+		${RM} -f "${T}${CALC_SHAREDIR}/$$i"; \
+		if [ -f "${T}${CALC_SHAREDIR}/$$i" ]; then \
+		   echo "cannot uninstall ${T}${CALC_SHAREDIR}/$$i"; \
 		else \
-		   echo "uninstalled $T${CALC_SHAREDIR}/$$i"; \
+		   echo "un-installed ${T}${CALC_SHAREDIR}/$$i"; \
 		fi; \
 	    fi; \
 	done
 	-${Q} for i in ${CALC_SHAREDIR}; do \
-	    if [ -d "$T$$i" ]; then \
-		rmdir "$T$$i" 2>/dev/null; \
-		echo "cleaned up $T$$i"; \
+	    if [ -d "${T}$$i" ]; then \
+		${RMDIR} "${T}$$i" 2>/dev/null; \
+		echo "cleaned up ${T}$$i"; \
 	    fi; \
 	done

cal/alg_config.cal

@@ -1,7 +1,7 @@
 /*
  * alg_config - help determine optimal values for algorithm levels
  *
- * Copyright (C) 2006  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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.14 $
- * @(#) $Id: alg_config.cal,v 29.14 2006/06/11 07:22:05 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/alg_config.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	2006/06/07 14:10:11
  * File existed as early as:	2006
@@ -28,8 +24,37 @@
  * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
  */
 
+static test_time;	/* try for this many seconds in loop test */
 
-global test_time;	/* try for this many seconds in loop test */
+
+/*
+ * close_to_one - set to 1 if the ratio is close enough to 1
+ *
+ * given:
+ *	ratio	the ratio of time between two algorithms
+ *
+ * returns:
+ *	1	When ratio is near 1.0
+ *	0	otherwise
+ *
+ * We consider the range [0.995, 1.005] to be close enough to 1 to be call unity
+ * because of the precision of the CPU timing.
+ */
+define close_to_one(ratio)
+{
+    /* firewall */
+    if (!isreal(ratio)) {
+	quit "close: 1st arg: must be a real number";
+    }
+
+    /* check if the ratio is far from unity */
+    if ((ratio < 0.995) || (ratio > 1.005)) {
+	return 0;
+    }
+
+    /* we are close to unity */
+    return 1;
+}
 
 
 /*
@@ -80,12 +105,13 @@ define mul_loop(repeat, x)
     len = sizeof((*x)[0]) / baseb_bytes;
     for (i=1; i < 4; ++i) {
 	if ((sizeof((*x)[i]) / baseb_bytes) != len) {
-	    quit "mul_loop: 2nd arg matrix elements are not of equal BASEB-bit word length";
+	    quit "mul_loop: 2nd arg matrix elements are not of "
+	         "equal BASEB-bit word length";
 	}
     }
 
     /* multiply pairwise, all sets of a given length */
-    start = runtime();
+    start = usertime();
     for (i=0; i < repeat; ++i) {
 
 	if (len == 1) {
@@ -130,7 +156,7 @@ define mul_loop(repeat, x)
     /*
      * return duration
      */
-    end = runtime();
+    end = usertime();
     return end-start;
 }
 
@@ -142,7 +168,7 @@ define mul_loop(repeat, x)
  *	len	length in BASEB-bit words to multiply
  *
  * return:
- *	ratio of (1st / 2nd) algorithm rate
+ *	ratio of (1st / 2nd) algorithm rate.
  *
  * When want to determine a rate to a precision of 1 part in 1000.
  * Most systems today return CPU time to at least 10 msec precision.
@@ -165,6 +191,7 @@ define mul_ratio(len)
     local tover;		/* est of time for loop overhead */
     local alg1_rate;		/* loop rate of 1st algorithm */
     local alg2_rate;		/* loop rate of 2nd algorithm */
+    local ret;			/* return ratio, or 1.0 */
     local i;
 
     /*
@@ -217,12 +244,12 @@ define mul_ratio(len)
      * determine the 1st algorithm rate
      */
     loops = max(1, ceil(loops * test_time / tlen));
-    if (loops < 8) {
+    if (loops < 16) {
 	if (config("user_debug") > 1) {
-	    printf("    we must expand loop test time to more than %d secs\n",
-		ceil(test_time * (8 / loops)));
+	    printf("    we must expand alg1 loop test time to about %d secs\n",
+		ceil(test_time * (16 / loops)));
 	}
-	loops = 8;
+	loops = 16;
     }
     if (config("user_debug") > 3) {
 	printf("\t    will try alg1 %d loops\n", loops);
@@ -263,12 +290,12 @@ define mul_ratio(len)
      * determine the 2nd algorithm rate
      */
     loops = max(1, ceil(loops * test_time / tlen));
-    if (loops < 8) {
+    if (loops < 16) {
 	if (config("user_debug") > 1) {
-	    printf("    we must expand loop test time to more than %d secs\n",
-		ceil(test_time * (8 / loops)));
+	    printf("    we must expand alg2 loop test time to about %d secs\n",
+		ceil(test_time * (16 / loops)));
 	}
-	loops = 8;
+	loops = 16;
     }
     tlen = mul_loop(loops, &x);
     if (config("user_debug") > 3) {
@@ -297,7 +324,12 @@ define mul_ratio(len)
     /*
      * return alg1 / alg2 rate ratio
      */
-    return (alg1_rate / alg2_rate);
+    ret = alg1_rate / alg2_rate;
+    if (config("user_debug") > 2) {
+	printf("\tprecise ratio is: %.f mul_ratio will return: %.3f\n",
+		alg1_rate / alg2_rate, ret);
+    }
+    return ret;
 }
 
 
@@ -319,30 +351,40 @@ define best_mul2()
 {
     local ratio;	/* previously calculated alg1/alg2 ratio */
     local low;		/* low loop value tested */
-    local high;		/* low loop value tested */
+    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;	/* closest ratio found to unity */
     local expand;	/* how fast to expand the length */
 
     /*
      * setup
      */
-    test_time = 15.0;
-    if (config("user_debug") > 0) {
-	printf("will start with loop test time of %d secs\n", test_time);
+    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 otherwise idle host!\n");
+    if (config("user_debug") <= 0) {
+	printf("To monitor progress, set user_debug to 2: "
+	       "config(\"user_debug\", 2)\n");
     }
+    printf("Starting with loop test time of %d secs\n", test_time);
 
     /*
      * firewall - must have a >1 ratio for the initial length
      */
-    high = 16;
+    high = 8;
+    best_val = high;
     if (config("user_debug") > 0) {
 	printf("testing multiply alg1/alg2 ratio for len = %d\n", high);
     }
     ratio = mul_ratio(high);
+    best_ratio = ratio;
     if (config("user_debug") > 1) {
-	printf("    multiply alg1/alg2 ratio = %.3f\n", ratio);
+	printf("    multiply alg1/alg2 ratio = %.6f\n", ratio);
     }
-    if (ratio <= 1.0) {
-	quit "best_mul2: tests imply config(\"mul2\") should be < 4";
+    if (ratio < 1.0) {
+	quit "best_mul2: tests imply mul2 should be < 16, which seems bogus";
     }
 
     /*
@@ -350,12 +392,12 @@ 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.
 	 */
-	expand = ((ratio >= 3.5) ? 16 : 2^round(ratio));
+	expand = 2;
 	low = high;
 	high *= expand;
 	if (config("user_debug") > 1) {
@@ -367,19 +409,64 @@ define best_mul2()
 	 * determine the alg1/alg2 test ratio for this new length
 	 */
 	if (high >= 2^31) {
-	    quit "best_mul2: tests imply config(\"mul2\") should be >= 2^31";
+	    quit "best_mul2: test implies mul2 >= 2^31, which seems bogus";
 	}
 	if (config("user_debug") > 0) {
 	    printf("testing multiply alg1/alg2 ratio for len = %d\n", high);
 	}
 	ratio = mul_ratio(high);
-	if (config("user_debug") > 1) {
-	    printf("    multiply alg1/alg2 ratio = %.3f\n", ratio);
+	if (abs(ratio - 1.0) < abs(best_ratio - 1.0)) {
+	    best_val = high;
+	    best_ratio = ratio;
+	    if (config("user_debug") > 1) {
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
+		       best_val, best_ratio);
+	    }
 	}
-    } while (ratio >= 1.0);
+	if (config("user_debug") > 1) {
+	    printf("    multiply alg1/alg2 ratio = %.6f\n", ratio);
+	}
+    } while (ratio > 1.0);
+
+    /*
+     * If we previously expanded more than by a factor of 2, then
+     * we may have jumped over the crossover point.  So now
+     * drop down powers of two until the ratio is again >= 1.0
+     */
+    if (expand > 2) {
+	do {
+
+	    /*
+	     * contract by 2
+	     */
+	    high /= 2;
+	    low = high / 2;
+	    if (config("user_debug") > 0) {
+		printf("re-testing multiply alg1/alg2 ratio for len = %d\n",
+		       high);
+	    }
+	    ratio = mul_ratio(high);
+	    if (abs(ratio - 1.0) < abs(best_ratio - 1.0)) {
+		best_val = high;
+		best_ratio = ratio;
+		if (config("user_debug") > 1) {
+		    printf("    len %d has a new closest ratio "
+			   "to unity: %.6f\n",
+			   best_val, best_ratio);
+		}
+	    }
+	    if (config("user_debug") > 1) {
+		printf("    multiply alg1/alg2 ratio = %.6f\n", ratio);
+	    }
+
+	} while (ratio <= 1.0);
+
+	/* now that the ratio flipped again, use the previous range */
+	low = high;
+	high = high * 2;
+    }
     if (config("user_debug") > 0) {
-	printf("alg1/alg2 ratio now < 1.0, starting binary search between %d and %d\n",
-	    low, high);
+	printf("Starting binary search between %d and %d\n", low, high);
     }
 
     /*
@@ -387,31 +474,55 @@ define best_mul2()
      */
     while (low+1 < high) {
 
-    	/* try the mid-point */
+	/* try the mid-point */
+	mid = int((low+high)/2);
 	if (config("user_debug") > 0) {
-	    printf("testing multiply alg1/alg2 ratio for len = %d\n",
-	    	int((low+high)/2));
+	    printf("testing multiply alg1/alg2 ratio for len = %d\n", mid);
+	}
+	ratio = mul_ratio(mid);
+	if (abs(ratio - 1.0) < abs(best_ratio - 1.0)) {
+	    best_val = mid;
+	    best_ratio = ratio;
+	    if (config("user_debug") > 1) {
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
+		       best_val, best_ratio);
+	    }
 	}
-	ratio = mul_ratio(int((low+high)/2));
 	if (config("user_debug") > 1) {
-	    printf("    multiply alg1/alg2 ratio = %.3f\n", ratio);
+	    printf("    len %d multiply alg1/alg2 ratio = %.6f\n", mid, ratio);
+	}
+
+	/* stop search if near unity */
+	if (close_to_one(ratio)) {
+	    low = mid;
+	    high = mid;
+	    if (config("user_debug") > 0) {
+		printf("\twe are close enough to unity ratio at: %d\n", mid);
+	    }
+	    break;
 	}
 
 	/* bump lower range up if we went over */
-	if (ratio >= 1.0) {
+	if (ratio > 1.0) {
 	    if (config("user_debug") > 2) {
-	    	printf("\tmove low from %d up to %d\n",
-		    low, int((low+high)/2));
+		printf("\tmove low from %d up to %d\n",
+		    low, mid);
 	    }
-	    low = int((low+high)/2);
+	    low = mid;
 
 	/* drop higher range down if we went under */
 	} else {
 	    if (config("user_debug") > 2) {
-	    	printf("\tmove high from %d down to %d\n",
-		     high, int((low+high)/2));
+		printf("\tmove high from %d down to %d\n",
+		     high, mid);
 	    }
-	    high = int((low+high)/2);
+	    high = mid;
+	}
+
+	/* report on test loop progress */
+	if (config("user_debug") > 1) {
+	    printf("\tsetting low: %d high: %d diff: %d\n",
+		   low, high, high-low);
 	}
     }
 
@@ -419,10 +530,15 @@ define best_mul2()
      * return on the suggested config("mul2") value
      */
     if (config("user_debug") > 0) {
-	printf("best value of config(\"mul2\") is %d\n",
-	    (ratio >= 1.0) ? high : low);
+	printf("Best value for multiply is near %d\n", best_val);
+	printf("Best multiply alg1/alg2 ratio is: %.6f\n", best_ratio);
+	printf("We suggest placing this line in your .calcrc:\n");
+	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 suggestion.\n");
     }
-    return ((ratio >= 1.0) ? high : low);
+    return mid;
 }
 
 
@@ -472,12 +588,13 @@ define sq_loop(repeat, x)
     len = sizeof((*x)[0]) / baseb_bytes;
     for (i=1; i < 4; ++i) {
 	if ((sizeof((*x)[i]) / baseb_bytes) != len) {
-	    quit "sq_loop: 2nd arg matrix elements are not of equal BASEB-bit word length";
+	    quit "sq_loop: 2nd arg matrix elements are not of equal "
+	         "BASEB-bit word length";
 	}
     }
 
     /* square pairwise, all sets of a given length */
-    start = runtime();
+    start = usertime();
     for (i=0; i < repeat; ++i) {
 
 	if (len == 1) {
@@ -524,7 +641,7 @@ define sq_loop(repeat, x)
     /*
      * return duration
      */
-    end = runtime();
+    end = usertime();
     return end-start;
 }
 
@@ -559,6 +676,7 @@ define sq_ratio(len)
     local tover;		/* est of time for loop overhead */
     local alg1_rate;		/* loop rate of 1st algorithm */
     local alg2_rate;		/* loop rate of 2nd algorithm */
+    local ret;			/* return ratio, or 1.0 */
     local i;
 
     /*
@@ -611,12 +729,12 @@ define sq_ratio(len)
      * determine the 1st algorithm rate
      */
     loops = max(1, ceil(loops * test_time / tlen));
-    if (loops < 8) {
+    if (loops < 16) {
 	if (config("user_debug") > 1) {
-	    printf("    we must expand loop test time to more than %d secs\n",
-		ceil(test_time * (8 / loops)));
+	    printf("    we must expand alg1 loop test time to about %d secs\n",
+		ceil(test_time * (16 / loops)));
 	}
-	loops = 8;
+	loops = 16;
     }
     tlen = sq_loop(loops, &x);
     if (config("user_debug") > 3) {
@@ -654,12 +772,12 @@ define sq_ratio(len)
      * determine the 2nd algorithm rate
      */
     loops = max(1, ceil(loops * test_time / tlen));
-    if (loops < 8) {
+    if (loops < 16) {
 	if (config("user_debug") > 1) {
-	    printf("    we must expand loop test time to more than %d secs\n",
-		ceil(test_time * (8 / loops)));
+	    printf("    we must expand alg2 loop test time to about %d secs\n",
+		ceil(test_time * (16 / loops)));
 	}
-	loops = 8;
+	loops = 16;
     }
     tlen = sq_loop(loops, &x);
     if (config("user_debug") > 3) {
@@ -688,7 +806,12 @@ define sq_ratio(len)
     /*
      * return alg1 / alg2 rate ratio
      */
-    return (alg1_rate / alg2_rate);
+    ret = alg1_rate / alg2_rate;
+    if (config("user_debug") > 2) {
+	printf("\tprecise ratio is: %.f sq_ratio will return: %.3f\n",
+		alg1_rate / alg2_rate, ret);
+    }
+    return ret;
 }
 
 
@@ -710,30 +833,40 @@ define best_sq2()
 {
     local ratio;	/* previously calculated alg1/alg2 ratio */
     local low;		/* low loop value tested */
-    local high;		/* low loop value tested */
+    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;	/* closest ratio found to unity */
     local expand;	/* how fast to expand the length */
 
     /*
      * setup
      */
-    test_time = 15.0;
-    if (config("user_debug") > 0) {
-	printf("will start with loop test time of %d secs\n", test_time);
+    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 otherwise idle host!\n");
+    if (config("user_debug") <= 0) {
+	printf("To monitor progress, set user_debug to 2: "
+	       "config(\"user_debug\", 2)\n");
     }
+    printf("Starting with loop test time of %d secs\n", test_time);
 
     /*
      * firewall - must have a >1 ratio for the initial length
      */
-    high = 16;
+    high = 8;
+    best_val = high;
     if (config("user_debug") > 0) {
 	printf("testing square alg1/alg2 ratio for len = %d\n", high);
     }
     ratio = sq_ratio(high);
+    best_ratio = ratio;
     if (config("user_debug") > 1) {
 	printf("    square alg1/alg2 ratio = %.3f\n", ratio);
     }
-    if (ratio <= 1.0) {
-	quit "best_sq2: tests imply config(\"sq2\") should be < 4";
+    if (ratio < 1.0) {
+	quit "best_sq2: test implies sq2 < 16, which seems bogus";
     }
 
     /*
@@ -741,36 +874,81 @@ 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.
 	 */
-	expand = ((ratio >= 3.5) ? 16 : 2^round(ratio));
+	expand = 2;
 	low = high;
 	high *= expand;
 	if (config("user_debug") > 1) {
 	    printf("    expand the next test range by a factor of %d\n",
-	           expand);
+		   expand);
 	}
 
 	/*
 	 * determine the alg1/alg2 test ratio for this new length
 	 */
 	if (high >= 2^31) {
-	    quit "best_sq2: tests imply config(\"sq2\") should be >= 2^31";
+	    quit "best_sq2: tests imply sq2 >= 2^31, which seems bogus";
 	}
 	if (config("user_debug") > 0) {
 	    printf("testing square alg1/alg2 ratio for len = %d\n", high);
 	}
 	ratio = sq_ratio(high);
+	if (abs(ratio - 1.0) < abs(best_ratio - 1.0)) {
+	    best_val = high;
+	    best_ratio = ratio;
+	    if (config("user_debug") > 1) {
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
+		       best_val, best_ratio);
+	    }
+	}
 	if (config("user_debug") > 1) {
 	    printf("    square alg1/alg2 ratio = %.3f\n", ratio);
 	}
-    } while (ratio >= 1.0);
+    } while (ratio > 1.0);
+
+    /*
+     * If we previously expanded more than by a factor of 2, then
+     * we may have jumped over the crossover point.  So now
+     * drop down powers of two until the ratio is again >= 1.0
+     */
+    if (expand > 2) {
+	do {
+
+	    /*
+	     * contract by 2
+	     */
+	    high /= 2;
+	    low = high / 2;
+	    if (config("user_debug") > 0) {
+		printf("re-testing multiply alg1/alg2 ratio for len = %d\n",
+		       high);
+	    }
+	    ratio = mul_ratio(high);
+	    if (abs(ratio - 1.0) < abs(best_ratio - 1.0)) {
+		best_val = high;
+		best_ratio = ratio;
+		if (config("user_debug") > 1) {
+		    printf("    len %d has a new closest ratio "
+			   "to unity: %.6f\n",
+			   best_val, best_ratio);
+		}
+	    }
+	    if (config("user_debug") > 1) {
+		printf("    multiply alg1/alg2 ratio = %.6f\n", ratio);
+	    }
+
+	} while (ratio <= 1.0);
+
+	/* now that the ratio flipped again, use the previous range */
+	low = high;
+	high = high * 2;
+    }
     if (config("user_debug") > 0) {
-	printf("alg1/alg2 ratio now < 1.0, starting binary search between %d and %d\n",
-	    low, high);
+	printf("Starting binary search between %d and %d\n", low, high);
     }
 
     /*
@@ -778,42 +956,72 @@ define best_sq2()
      */
     while (low+1 < high) {
 
-    	/* try the mid-point */
+	/* try the mid-point */
+	mid = int((low+high)/2);
 	if (config("user_debug") > 0) {
-	    printf("testing square alg1/alg2 ratio for len = %d\n",
-	    	int((low+high)/2));
+	    printf("testing square alg1/alg2 ratio for len = %d\n", mid);
+	}
+	ratio = sq_ratio(mid);
+	if (abs(ratio - 1.0) < abs(best_ratio - 1.0)) {
+	    best_val = mid;
+	    best_ratio = ratio;
+	    if (config("user_debug") > 1) {
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
+		       best_val, best_ratio);
+	    }
 	}
-	ratio = sq_ratio(int((low+high)/2));
 	if (config("user_debug") > 1) {
-	    printf("    square alg1/alg2 ratio = %.3f\n", ratio);
+	    printf("    len %d square alg1/alg2 ratio = %.6f\n", mid, ratio);
+	}
+
+	/* stop search if near unity */
+	if (close_to_one(ratio)) {
+	    low = mid;
+	    high = mid;
+	    if (config("user_debug") > 0) {
+		printf("\twe are close enough to unity ratio at: %d\n", mid);
+	    }
+	    break;
 	}
 
 	/* bump lower range up if we went over */
-	if (ratio >= 1.0) {
+	if (ratio > 1.0) {
 	    if (config("user_debug") > 2) {
-	    	printf("\tmove low from %d up to %d\n",
-		    low, int((low+high)/2));
+		printf("\tmove low from %d up to %d\n",
+		    low, mid);
 	    }
-	    low = int((low+high)/2);
+	    low = mid;
 
 	/* drop higher range down if we went under */
 	} else {
 	    if (config("user_debug") > 2) {
-	    	printf("\tmove high from %d down to %d\n",
-		     high, int((low+high)/2));
+		printf("\tmove high from %d down to %d\n",
+		     high, mid);
 	    }
-	    high = int((low+high)/2);
+	    high = mid;
+	}
+
+	/* report on test loop progress */
+	if (config("user_debug") > 1) {
+	    printf("\tsetting low: %d high: %d diff: %d\n",
+		   low, high, high-low);
 	}
     }
 
     /*
      * return on the suggested config("sq2") value
      */
+    mid = int((low+high)/2);
     if (config("user_debug") > 0) {
-	printf("best value of config(\"sq2\") is %d\n",
-	    (ratio >= 1.0) ? high : low);
+	printf("Best value for square is near %d\n", best_val);
+	printf("Best square alg1/alg2 ratio is: %.6f\n", best_ratio);
+	printf("We suggest placing this line in your .calcrc:\n");
+	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 suggestion.\n");
     }
-    return ((ratio >= 1.0) ? high : low);
+    return mid;
 }
 
 
@@ -866,7 +1074,8 @@ define pow_loop(repeat, x, ex)
     len = sizeof((*x)[0]) / baseb_bytes;
     for (i=1; i < 4; ++i) {
 	if ((sizeof((*x)[i]) / baseb_bytes) != len) {
-	    quit "pow_loop: 2nd arg matrix elements are not of equal BASEB-bit word length";
+	    quit "pow_loop: 2nd arg matrix elements are not of "
+	         "equal BASEB-bit word length";
 	}
     }
     if (!isint(ex) || ex < 3) {
@@ -874,7 +1083,7 @@ define pow_loop(repeat, x, ex)
     }
 
     /* pmod pairwise, all sets of a given length */
-    start = runtime();
+    start = usertime();
     for (i=0; i < repeat; ++i) {
 
 	if (len == 1) {
@@ -927,7 +1136,7 @@ define pow_loop(repeat, x, ex)
     /*
      * return duration
      */
-    end = runtime();
+    end = usertime();
     return end-start;
 }
 
@@ -963,6 +1172,7 @@ define pow_ratio(len)
     local alg1_rate;		/* loop rate of 1st algorithm */
     local alg2_rate;		/* loop rate of 2nd algorithm */
     local ex;			/* exponent to use in pow_loop() */
+    local ret;			/* return ratio, or 1.0 */
     local i;
 
     /*
@@ -985,7 +1195,7 @@ define pow_ratio(len)
     /*
      * setup
      */
-    ex = 5;
+    ex = 7;
 
     /*
      * initialize x, the values we will pmod
@@ -1021,12 +1231,12 @@ define pow_ratio(len)
      * determine the 1st algorithm rate
      */
     loops = max(1, ceil(loops * test_time / tlen));
-    if (loops < 8) {
+    if (loops < 16) {
 	if (config("user_debug") > 1) {
-	    printf("    we must expand loop test time to more than %d secs\n",
-		ceil(test_time * (8 / loops)));
+	    printf("    we must expand alg1 loop test time to about %d secs\n",
+		ceil(test_time * (16 / loops)));
 	}
-	loops = 8;
+	loops = 16;
     }
     tlen = pow_loop(loops, &x, ex);
     if (config("user_debug") > 3) {
@@ -1065,12 +1275,12 @@ define pow_ratio(len)
      * determine the 2nd algorithm rate
      */
     loops = max(1, ceil(loops * test_time / tlen));
-    if (loops < 8) {
+    if (loops < 16) {
 	if (config("user_debug") > 1) {
-	    printf("    we must expand loop test time to more than %d secs\n",
-		ceil(test_time * (8 / loops)));
+	    printf("    we must expand alg2 loop test time to about %d secs\n",
+		ceil(test_time * (16 / loops)));
 	}
-	loops = 8;
+	loops = 16;
     }
     tlen = pow_loop(loops, &x, ex);
     if (config("user_debug") > 3) {
@@ -1099,7 +1309,12 @@ define pow_ratio(len)
     /*
      * return alg1 / alg2 rate ratio
      */
-    return (alg1_rate / alg2_rate);
+    ret = alg1_rate / alg2_rate;
+    if (config("user_debug") > 2) {
+	printf("\tprecise ratio is: %.f pow_ratio will return: %.3f\n",
+		alg1_rate / alg2_rate, ret);
+    }
+    return ret;
 }
 
 
@@ -1121,37 +1336,56 @@ define best_pow2()
 {
     local ratio;	/* previously calculated alg1/alg2 ratio */
     local low;		/* low loop value tested */
-    local high;		/* low loop value tested */
+    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;	/* closest ratio found to unity */
     local expand;	/* how fast to expand the length */
     local looped;	/* 1 ==> we have expanded lengths before */
 
     /*
      * setup
      */
-    test_time = 15.0;
-    if (config("user_debug") > 0) {
-	printf("will start with loop test time of %d secs\n", test_time);
+    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 otherwise idle host!\n");
+    if (config("user_debug") <= 0) {
+	printf("To monitor progress, set user_debug to 2: "
+	       "config(\"user_debug\", 2)\n");
     }
+    printf("Starting with loop test time of %d secs\n", test_time);
 
     /*
      * 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;
     high = 4;
+    best_val = high;
+    best_ratio = 1e10;	/* not a real value */
     do {
 	high *= 4;
 	if (config("user_debug") > 0) {
 	    printf("testing pmod alg1/alg2 ratio for len = %d\n", high);
 	}
 	ratio = pow_ratio(high);
+	if (abs(ratio - 1.0) < abs(best_ratio - 1.0)) {
+	    best_val = high;
+	    best_ratio = ratio;
+	    if (config("user_debug") > 1) {
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
+		       best_val, best_ratio);
+	    }
+	}
 	if (config("user_debug") > 1) {
 	    printf("    pmod alg1/alg2 ratio = %.3f\n", ratio);
 	    if (ratio > 1.0 && ratio <= 1.02) {
-	    printf("    while alg1 is slightly better than alg2, it is not clearly better\n");
+	    printf("    while alg1 is slightly better than alg2, "
+		   "it is not clearly better\n");
 	    }
 	}
     } while (ratio <= 1.02);
@@ -1165,7 +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.
@@ -1186,27 +1420,34 @@ define best_pow2()
 	high *= expand;
 	if (config("user_debug") > 1) {
 	    printf("    expand the next test range by a factor of %d\n",
-	    	   expand);
+		   expand);
 	}
 
 	/*
 	 * determine the alg1/alg2 test ratio for this new length
 	 */
 	if (high >= 2^31) {
-	    quit "best_pow2: tests imply config(\"pow2\") should be >= 2^31";
+	    quit "best_pow2: test implies pow2 >= 2^31, which seems bogus";
 	}
 	if (config("user_debug") > 0) {
 	    printf("testing pmod alg1/alg2 ratio for len = %d\n", high);
 	}
 	ratio = pow_ratio(high);
+	if (abs(ratio - 1.0) < abs(best_ratio - 1.0)) {
+	    best_val = high;
+	    best_ratio = ratio;
+	    if (config("user_debug") > 1) {
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
+		       best_val, best_ratio);
+	    }
+	}
 	if (config("user_debug") > 1) {
-	    printf("    pmod alg1/alg2 ratio = %.3f\n", ratio);
+	    printf("    pmod alg1/alg2 ratio = %.6f\n", ratio);
 	}
 	looped = 1;
-    } while (ratio >= 1.0);
+    } while (ratio > 1.0);
     if (config("user_debug") > 0) {
-	printf("alg1/alg2 ratio now < 1.0, starting binary search between %d and %d\n",
-	    low, high);
+	printf("Starting binary search between %d and %d\n", low, high);
     }
 
     /*
@@ -1214,40 +1455,70 @@ define best_pow2()
      */
     while (low+1 < high) {
 
-    	/* try the mid-point */
+	/* try the mid-point */
+	mid = int((low+high)/2);
 	if (config("user_debug") > 0) {
-	    printf("testing pmod alg1/alg2 ratio for len = %d\n",
-	    	int((low+high)/2));
+	    printf("testing pow2 alg1/alg2 ratio for len = %d\n", mid);
+	}
+	ratio = pow_ratio(mid);
+	if (abs(ratio - 1.0) < abs(best_ratio - 1.0)) {
+	    best_val = mid;
+	    best_ratio = ratio;
+	    if (config("user_debug") > 1) {
+		printf("    len %d has a new closest ratio to unity: %.6f\n",
+		       best_val, best_ratio);
+	    }
 	}
-	ratio = pow_ratio(int((low+high)/2));
 	if (config("user_debug") > 1) {
-	    printf("    pmod alg1/alg2 ratio = %.3f\n", ratio);
+	    printf("    len %d pmod alg1/alg2 ratio = %.6f\n", mid, ratio);
+	}
+
+	/* stop search if near unity */
+	if (close_to_one(ratio)) {
+	    low = mid;
+	    high = mid;
+	    if (config("user_debug") > 0) {
+		printf("\twe are close enough to unity ratio at: %d\n", mid);
+	    }
+	    break;
 	}
 
 	/* bump lower range up if we went over */
-	if (ratio >= 1.0) {
+	if (ratio > 1.0) {
 	    if (config("user_debug") > 2) {
-	    	printf("\tmove low from %d up to %d\n",
-		    low, int((low+high)/2));
+		printf("\tmove low from %d up to %d\n",
+		    low, mid);
 	    }
-	    low = int((low+high)/2);
+	    low = mid;
 
 	/* drop higher range down if we went under */
 	} else {
 	    if (config("user_debug") > 2) {
-	    	printf("\tmove high from %d down to %d\n",
-		     high, int((low+high)/2));
+		printf("\tmove high from %d down to %d\n",
+		     high, mid);
 	    }
-	    high = int((low+high)/2);
+	    high = mid;
+	}
+
+	/* report on test loop progress */
+	if (config("user_debug") > 1) {
+	    printf("\tsetting low: %d high: %d diff: %d\n",
+		   low, high, high-low);
 	}
     }
 
     /*
      * return on the suggested config("pow2") value
      */
+    mid = int((low+high)/2);
     if (config("user_debug") > 0) {
-	printf("best value of config(\"pow2\") is %d\n",
-	    (ratio >= 1.0) ? high : low);
+	printf("Best value for pmod is near %d\n", best_val);
+	printf("Best pmod alg1/alg2 ratio is: %.6f\n", best_ratio);
+	printf("We suggest placing this line in your .calcrc:\n");
+	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 suggestion.\n");
     }
-    return ((ratio >= 1.0) ? high : low);
+    return mid;
 }

cal/beer.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: beer.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/beer.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.3 $
- * @(#) $Id: bernoulli.cal,v 29.3 2000/12/17 12:26:04 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/bernoulli.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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

@@ -0,0 +1,55 @@
+/*
+ * bernpoly - Bernoulli polynomials B_n(z) for arbitrary n,z..
+ *
+ * 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
+ * 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:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+read -once zeta2
+
+
+/* Idea by Don Zagier */
+define bernpoly(n,z){
+  local h s c k;
+  if(isint(n) && n>=0){
+    h=0;s=0;c=-1;
+    for(k=1;k<=n+1;k++){
+      c*=1-(n+2)/k;
+      s+=z^n;
+      z++;
+      h+=c*s/k;
+    }
+    return h;
+  }
+  else return -n*hurwitzzeta(1-n,z);
+}
+
+
+/*
+ * restore internal function from resource debugging
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "bernpoly(n,z)";
+}

cal/bigprime.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: bigprime.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/bigprime.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1991/05/22 21:56:32
  * File existed as early as:	1991

cal/bindings

@@ -14,11 +14,7 @@
 # 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.
-# 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
-#
-# @(#) $Revision: 29.2 $
-# @(#) $Id: bindings,v 29.2 2000/06/07 14:02:25 chongo Exp $
-# @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/bindings,v $
+# 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 #
 # Under source code control:	1993/05/02 20:09:19
 # File existed as early as:	1993

cal/brentsolve.cal

@@ -0,0 +1,254 @@
+/*
+ * brentsolve - Root finding with the Brent-Dekker trick
+ *
+ * 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
+ * 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:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+/*
+  A short explanation is at http://en.wikipedia.org/wiki/Brent%27s_method
+  I tried to follow the description at wikipedia as much as possible to make
+  the slight changes I did more visible.
+  You may give http://people.sc.fsu.edu/~jburkardt/cpp_src/brent/brent.html a
+  short glimpse (Brent's originl Fortran77 versions and some translations of
+  it).
+*/
+
+static true = 1;
+static false = 0;
+define brentsolve(low, high,eps){
+  local a b c d fa fb fc fa2 fb2 fc2 s fs  tmp tmp2  mflag i places;
+  a = low;
+  b = high;
+  c = 0;
+
+  if(isnull(eps))
+    eps = epsilon(epsilon()*1e-3);
+  places = highbit(1 + int( 1/epsilon() ) ) + 1;
+
+  d = 1/eps;
+
+  fa = f(a);
+  fb = f(b);
+
+  fc = 0;
+  s = 0;
+  fs = 0;
+
+  if(fa * fb >= 0){
+    if(fa < fb){
+      epsilon(eps);
+      return a;
+    }
+    else{
+      epsilon(eps);
+      return b;
+    }
+  }
+
+  if(abs(fa) < abs(fb)){
+    tmp = a; a = b; b = tmp;
+    tmp = fa; fa = fb; fb = tmp;
+  }
+
+  c = a;
+  fc = fa;
+  mflag = 1;
+  i = 0;
+
+  while(!(fb==0) && (abs(a-b) > eps)){
+    if((fa != fc) && (fb != fc)){
+      /* Inverse quadratic interpolation*/
+      fc2 = fc^2;
+      fa2 = fa^2;
+      s = bround(((fb^2*((fc*a)-(c*fa)))+(fb*((c*fa2)-(fc2*a)))+(b*((fc2*fa)
+                    -(fc*fa2))))/((fc - fb)*(fa - fb)*(fc - fa)),places++);
+    }
+    else{
+      /* Secant Rule*/
+      s =bround( b - fb * (b - a) / (fb - fa),places++);
+    }
+    tmp2 = (3 * a + b) / 4;
+    if( (!( ((s > tmp2) && (s < b))||((s < tmp2) && (s > b))))
+        || (mflag && (abs(s - b) >= (abs(b - c) / 2)))
+        || (!mflag && (abs(s - b) >= (abs(c - d) / 2)))) {
+      s = (a + b) / 2;
+      mflag = true;
+    }
+    else{
+      if( (mflag && (abs(b - c) < eps))
+          || (!mflag && (abs(c - d) < eps))) {
+        s = (a + b) / 2;
+        mflag = true;
+      }
+      else
+        mflag = false;
+    }
+    fs = f(s);
+    c = b;
+    fc = fb;
+    if (fa * fs < 0){
+      b = s;
+      fb = fs;
+    }
+    else {
+      a = s;
+      fa = fs;
+    }
+
+    if (abs(fa) < abs(fb)){
+      tmp = a; a = b; b = tmp;
+      tmp = fa; fa = fb; fb = tmp;
+    }
+    i++;
+    if (i > 1000){
+      epsilon(eps);
+      return newerror("brentsolve: does not converge");
+    }
+  }
+  epsilon(eps);
+  return b;
+}
+
+/*
+  A variation of the solver to accept functions named differently from "f". The
+  code should explain it.
+*/
+define brentsolve2(low, high,which,eps){
+  local a b c d fa fb fc fa2 fb2 fc2 s fs  tmp tmp2  mflag i places;
+  a = low;
+  b = high;
+  c = 0;
+
+  switch(param(0)){
+    case 0:
+    case 1: return newerror("brentsolve2: not enough arguments");
+    case 2: eps = epsilon(epsilon()*1e-2);
+            which = 0;break;
+    case 3: eps = epsilon(epsilon()*1e-2);break;
+    default: break;
+  };
+  places = highbit(1 + int(1/epsilon())) + 1;
+
+  d = 1/eps;
+
+  switch(which){
+    case 1:  fa = __CZ__invbeta(a);
+             fb = __CZ__invbeta(b); break;
+    case 2:  fa = __CZ__invincgamma(a);
+             fb = __CZ__invincgamma(b); break;
+
+    default: fa = f(a);fb = f(b);   break;
+  };
+
+  fc = 0;
+  s = 0;
+  fs = 0;
+
+  if(fa * fb >= 0){
+    if(fa < fb)
+      return a;
+    else
+      return b;
+  }
+
+  if(abs(fa) < abs(fb)){
+    tmp = a; a = b; b = tmp;
+    tmp = fa; fa = fb; fb = tmp;
+  }
+
+  c = a;
+  fc = fa;
+  mflag = 1;
+  i = 0;
+
+  while(!(fb==0) && (abs(a-b) > eps)){
+
+    if((fa != fc) && (fb != fc)){
+      /* Inverse quadratic interpolation*/
+      fc2 = fc^2;
+      fa2 = fa^2;
+      s = bround(((fb^2*((fc*a)-(c*fa)))+(fb*((c*fa2)-(fc2*a)))+(b*((fc2*fa)
+                    -(fc*fa2))))/((fc - fb)*(fa - fb)*(fc - fa)),places);
+      places++;
+    }
+    else{
+      /* Secant Rule*/
+      s =bround( b - fb * (b - a) / (fb - fa),places);
+      places++;
+    }
+    tmp2 = (3 * a + b) / 4;
+    if( (!( ((s > tmp2) && (s < b))||((s < tmp2) && (s > b))))
+        || (mflag && (abs(s - b) >= (abs(b - c) / 2)))
+        || (!mflag && (abs(s - b) >= (abs(c - d) / 2)))) {
+      s = (a + b) / 2;
+      mflag = true;
+    }
+    else{
+      if( (mflag && (abs(b - c) < eps))
+          || (!mflag && (abs(c - d) < eps))) {
+        s = (a + b) / 2;
+        mflag = true;
+      }
+      else
+        mflag = false;
+    }
+    switch(which){
+      case 1:  fs = __CZ__invbeta(s); break;
+      case 2:  fs = __CZ__invincgamma(s); break;
+
+      default: fs = f(s);             break;
+    };
+    c = b;
+    fc = fb;
+    if (fa * fs < 0){
+      b = s;
+      fb = fs;
+    }
+    else {
+      a = s;
+      fa = fs;
+    }
+
+    if (abs(fa) < abs(fb)){
+      tmp = a; a = b; b = tmp;
+      tmp = fa; fa = fb; fb = tmp;
+    }
+    i++;
+    if (i > 1000){
+      return newerror("brentsolve2: does not converge");
+    }
+  }
+  return b;
+}
+
+
+/*
+ * restore internal function from resource debugging
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "brentsolve(low, high,eps)";
+    print "brentsolve2(low, high,which,eps)";
+}

cal/chi.cal

@@ -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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: chi.cal,v 29.2 2001/04/08 10:21:23 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/chi.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	2001/03/27 14:10:11
  * File existed as early as:	2001
@@ -44,7 +40,7 @@ define Z(x, eps_term)
 
     /* obtain the error term */
     if (isnull(eps_term)) {
-    	eps = epsilon();
+	eps = epsilon();
     } else {
 	eps = eps_term;
     }
@@ -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.
  *
@@ -85,7 +81,7 @@ define P(x, eps_term)
 
     /* obtain the error term */
     if (isnull(eps_term)) {
-    	eps = epsilon();
+	eps = epsilon();
     } else {
 	eps = eps_term;
     }
@@ -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
  *
@@ -17,11 +17,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: chrem.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/chrem.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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

@@ -0,0 +1,100 @@
+/*
+ * constants - implementation of different constants to arbitrary precision
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * Under source code control:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+static __CZ__euler_mascheroni = 0;
+static __CZ__euler_mascheroni_prec = 0;
+
+
+define e(){
+  local k temp1 temp2 ret eps factor upperlimit prec;
+
+  prec = digits(1/epsilon());
+  if(__CZ__euler_mascheroni != 0 &&  __CZ__euler_mascheroni_prec >= prec)
+    return __CZ__euler_mascheroni;
+  if(prec<=20) return 2.718281828459045235360287471;
+  if(prec<=1800){
+    __CZ__euler_mascheroni = exp(1);
+    __CZ__euler_mascheroni_prec = prec;
+  }
+
+  eps=epsilon(1e-20);
+  factor = 1;
+  k = 0;
+  upperlimit = prec * ln(10);
+  while(k<upperlimit){
+    k += ln(factor);
+    factor++;
+  }
+  epsilon(eps);
+  temp1 = 0;
+  ret   = 1;
+  for(k=3;k<=factor;k++){
+    temp2 = temp1;
+    temp1 = ret;
+    ret =  (k-1) *(temp1 + temp2);
+  }
+
+  ret = inverse( ret * inverse(factorial(factor) ) ) ;
+  __CZ__euler_mascheroni = ret;
+  __CZ__euler_mascheroni_prec = prec;
+  return ret;
+}
+
+
+/* Lupas' series */
+static __CZ__catalan = 0;
+static __CZ__catalan_prec = 0;
+define G(){
+  local eps a s t n;
+  eps = epsilon(epsilon()*1e-10);
+  if(__CZ__catalan != 0 &&  __CZ__catalan >= log(1/eps))
+    return __CZ__catalan;
+  a = 1;
+  s = 0;
+  t = 1;
+  n = 1;
+  while(abs(t)> eps){
+    a *= 32 * n^3 * (2*n-1);
+    a /=((3-16*n+16*n^2)^2);
+    t = a * (-1)^(n-1) * (40*n^2-24*n+3) / (n^3 * (2*n-1));
+    s += t;
+    n += 1;
+  }
+  s = s/64;
+  __CZ__catalan = s;
+  __CZ__catalan_prec = log(1/eps);
+  epsilon(eps);
+  return s;
+}
+
+
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "e()";
+    print "G()";
+}

cal/deg.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.4 $
- * @(#) $Id: deg.cal,v 29.4 2003/01/26 19:32:41 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/deg.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1990/02/15 01:50:33
  * File existed as early as:	before 1990
@@ -28,9 +24,9 @@
  */
 
 
-obj dms {deg, min, sec};
+obj deg {deg, min, sec};
 
-define dms(deg, min, sec)
+define deg(deg, min, sec)
 {
 	local ans;
 
@@ -38,18 +34,18 @@ define dms(deg, min, sec)
 		sec = 0;
 	if (isnull(min))
 		min = 0;
-	obj dms ans;
+	obj deg ans;
 	ans.deg = deg;
 	ans.min = min;
 	ans.sec = sec;
-	fixdms(ans);
+	fixdeg(ans);
 	return ans;
 }
 
 
-define dms_add(a, b)
+define deg_add(a, b)
 {
-	local obj dms	ans;
+	local obj deg	ans;
 
 	ans.deg = 0;
 	ans.min = 0;
@@ -66,14 +62,14 @@ define dms_add(a, b)
 		ans.sec += b.sec;
 	} else
 		ans.deg += b;
-	fixdms(ans);
+	fixdeg(ans);
 	return ans;
 }
 
 
-define dms_neg(a)
+define deg_neg(a)
 {
-	local obj dms	ans;
+	local obj deg	ans;
 
 	ans.deg = -a.deg;
 	ans.min = -a.min;
@@ -82,15 +78,15 @@ define dms_neg(a)
 }
 
 
-define dms_sub(a, b)
+define deg_sub(a, b)
 {
 	return a - b;
 }
 
 
-define dms_mul(a, b)
+define deg_mul(a, b)
 {
-	local obj dms	ans;
+	local obj deg	ans;
 
 	if (istype(a, ans) && istype(b, ans))
 		quit "Cannot multiply degrees together";
@@ -103,24 +99,24 @@ define dms_mul(a, b)
 		ans.min = b.min * a;
 		ans.sec = b.sec * a;
 	}
-	fixdms(ans);
+	fixdeg(ans);
 	return ans;
 }
 
 
-define dms_print(a)
+define deg_print(a)
 {
 	print a.deg : 'd' : a.min : 'm' : a.sec : 's' :;
 }
 
 
-define dms_abs(a)
+define deg_abs(a)
 {
 	return a.deg + a.min / 60 + a.sec / 3600;
 }
 
 
-define fixdms(a)
+define fixdeg(a)
 {
 	a.min += frac(a.deg) * 60;
 	a.deg = int(a.deg);
@@ -134,5 +130,5 @@ define fixdms(a)
 }
 
 if (config("resource_debug") & 3) {
-    print "obj dms {deg, min, sec} defined";
+    print "obj deg {deg, min, sec} defined";
 }

cal/dms.cal

@@ -0,0 +1,364 @@
+/*
+ * dms - calculate in degrees, minutes, and seconds (based on deg)
+ *
+ * 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
+ * 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:	1990/02/15 01:50:33
+ * File existed as early as:	before 1990
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+obj dms {deg, min, sec};
+
+define dms(deg, min, sec)
+{
+    local obj dms ans;		/* return value */
+
+    /* default missing args to 0 */
+    if (isnull(sec)) {
+	sec = 0;
+    }
+    if (isnull(min)) {
+	min = 0;
+    }
+
+    /* load object */
+    ans.deg = deg;
+    ans.min = min;
+    ans.sec = sec;
+
+    /* return properly formed object */
+    ans = fixdms(ans);
+    return ans;
+}
+
+
+define dms_add(a, b)
+{
+    local obj dms ans;		/* return value */
+
+    /* initialize value to 1st arg */
+    if (istype(a, ans)) {
+	/* 1st arg is dms object, load it */
+	ans.deg = a.deg;
+	ans.min = a.min;
+	ans.sec = a.sec;
+    } else {
+	/* 1st arg is not dms, assume scalar degrees */
+	ans.deg = a;
+	ans.min = 0;
+	ans.sec = 0;
+    }
+
+    /* add value of 2nd arg */
+    if (istype(b, ans)) {
+	/* 2nd arg is dms object, add it */
+	ans.deg += b.deg;
+	ans.min += b.min;
+	ans.sec += b.sec;
+    } else {
+	/* 2nd arg is not dms, add scalar degrees */
+	ans.deg += b;
+    }
+
+    /* return normalized result */
+    ans = fixdms(ans);
+    return ans;
+}
+
+
+define dms_neg(a)
+{
+    local obj dms ans;		/* return value */
+
+    /* negate argument */
+    if (istype(a, ans)) {
+	/* 1st arg is dms object, load it */
+	ans.deg = -a.deg;
+	ans.min = -a.min;
+	ans.sec = -a.sec;
+    } else {
+	/* 2nd arg is not dms, negate scalar degrees */
+	ans.deg = -a;
+	ans.min = 0;
+	ans.sec = 0;
+    }
+
+    /* return normalized result */
+    ans = fixdms(ans);
+    return ans;
+}
+
+
+define dms_sub(a, b)
+{
+    local obj dms ans;		/* return value */
+
+    /* initialize value to 1st arg */
+    if (istype(a, ans)) {
+	/* 1st arg is dms object, load it */
+	ans.deg = a.deg;
+	ans.min = a.min;
+	ans.sec = a.sec;
+    } else {
+	/* 1st arg is not dms, assume scalar degrees */
+	ans.deg = a;
+	ans.min = 0;
+	ans.sec = 0;
+    }
+
+    /* subtract value of 2nd arg */
+    if (istype(b, ans)) {
+	/* 2nd arg is dms object, subtract it */
+	ans.deg -= b.deg;
+	ans.min -= b.min;
+	ans.sec -= b.sec;
+    } else {
+	/* 2nd arg is not dms, subtract scalar degrees */
+	ans.deg -= b;
+    }
+
+    /* return normalized result */
+    ans = fixdms(ans);
+    return ans;
+}
+
+
+define dms_mul(a, b)
+{
+    local obj dms ans;		/* return value */
+
+    /* dms object multiplication */
+    if (istype(a, ans) && istype(b, ans)) {
+	ans.deg = dms_abs(a) * dms_abs(b);
+	ans.min = 0;
+	ans.sec = 0;
+
+    /* scalar multiplication */
+    } else if (istype(a, ans)) {
+	ans.deg = a.deg * b;
+	ans.min = a.min * b;
+	ans.sec = a.sec * b;
+    } else {
+	ans.deg = b.deg * a;
+	ans.min = b.min * a;
+	ans.sec = b.sec * a;
+    }
+
+    /* return normalized result */
+    ans = fixdms(ans);
+    return ans;
+}
+
+
+define dms_print(a)
+{
+    local obj dms ans;		/* temp object for dms type testing */
+
+    /* firewall - arg must be a dms object */
+    if (! istype(a, ans)) {
+	quit "dms_print called with non dms object";
+    }
+
+    /* print in dms form */
+    print a.deg : 'd' : a.min : 'm' : a.sec : 's' :;
+}
+
+
+define dms_abs(a)
+{
+    local obj dms ans;		/* temp object for dms type testing */
+    local deg;			/* return scalar value */
+
+    /* firewall - just absolute value non dms objects */
+    if (! istype(a, ans)) {
+	return abs(a);
+    }
+
+    /* compute degrees */
+    deg = a.deg + a.min / 60 + a.sec / 3600;
+
+    /* return degrees */
+    return deg;
+}
+
+
+define dms_norm(a)
+{
+    local obj dms ans;		/* temp object for dms type testing */
+    local deg;			/* degrees */
+
+    /* firewall - arg must be a dms object */
+    if (! istype(a, ans)) {
+	quit "dms_norm called with non dms object";
+    }
+
+    /* square degrees (norm is the square of absolute value */
+    deg = dms_abs(a);
+
+    /* return degrees */
+    return deg*deg;
+}
+
+
+define dms_test(a)
+{
+    local obj dms ans;		/* temp value */
+
+    /* firewall - arg must be a dms object */
+    if (! istype(a, ans)) {
+	quit "dms_test called with non dms object";
+    }
+
+    /* return false of non-zero */
+    ans = fixdms(a);
+    if (ans.deg == 0 && ans.min == 0 && ans.sec == 0) {
+	/* false */
+	return 0;
+    }
+    /* true */
+    return 1;
+}
+
+
+define dms_int(a)
+{
+    local obj dms ans;		/* return value */
+
+    /* firewall - arg must be a dms object */
+    if (! istype(a, ans)) {
+	quit "dms_int called with non dms object";
+    }
+
+    /* normalize the argument */
+    ans = fixdms(a);
+
+    /* truncate to the nearest second */
+    ans.sec = int(ans.sec);
+
+    /* return value to the nearest second */
+    return ans;
+}
+
+
+define dms_frac(a)
+{
+    local obj dms ans;		/* return value */
+
+    /* firewall - arg must be a dms object */
+    if (! istype(a, ans)) {
+	quit "dms_frac called with non dms object";
+    }
+
+    /* normalize the argument */
+    ans = fixdms(a);
+
+    /* remove all but fractional seconds */
+    ans.deg = 0;
+    ans.min = 0;
+    ans.sec = frac(ans.sec);
+
+    /* return value to the second fraction */
+    return ans;
+}
+
+
+define dms_rel(a,b)
+{
+    local abs_a, abs_b;		/* scalars of the arguments */
+
+    /* compute scalars of the arguments */
+    abs_a = dms_abs(a);
+    abs_b = dms_abs(b);
+
+    /* return the comparison */
+    return cmp(abs_a, abs_b);
+}
+
+
+define dms_cmp(a,b)
+{
+    local abs_a, abs_b;		/* scalars of the arguments */
+
+    /* compute scalars of the arguments */
+    abs_a = dms_abs(a);
+    abs_b = dms_abs(b);
+
+    /* return the equality comparison */
+    return (abs_a == abs_b);
+}
+
+
+define dms_inc(a)
+{
+    local obj dms ans;		/* return value */
+
+    /* increment a dms object */
+    if (istype(a, ans)) {
+	ans = a;
+	++ans.sec;
+
+	/* return normalized result */
+	ans = fixdms(ans);
+	return ans;
+    }
+
+    /* increment a scalar */
+    return a+1;
+}
+
+
+define dms_dec(a)
+{
+    local obj dms ans;		/* return value */
+
+    /* decrement a dms object */
+    if (istype(a, ans)) {
+	ans = a;
+	--ans.sec;
+
+	/* return normalized result */
+	ans = fixdms(ans);
+	return ans;
+    }
+
+    /* decrement a scalar */
+    return a-1;
+}
+
+
+define fixdms(a)
+{
+    local obj dms ans;		/* temp value */
+
+    /* firewall */
+    if (! istype(a, ans)) {
+	quit "attempt to fix a non dms object";
+    }
+
+    /* use builtin d2dms function */
+    d2dms(a.deg + a.min/60 + a.sec/3600, a.deg, a.min, a.sec),;
+
+    /* return normalized result */
+    return a;
+}
+
+if (config("resource_debug") & 3) {
+    print "obj dms {deg, min, sec} defined";
+}

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-
- * CHANTABILITY AND FITNESS.  IN NO EVENT SHALL	 LANDON	 CURT
+ * THIS         SOFTWARE,  INCLUDING  ALL IMPLIED WARRANTIES OF MER-
+ * CHANTABILITY AND FITNESS.  IN NO EVENT SHALL         LANDON  CURT
  * NOLL	 BE LIABLE FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL
  * DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM  LOSS  OF
  * USE,	 DATA  OR  PROFITS, WHETHER IN AN ACTION OF CONTRACT,
  * NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR  IN
  * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
  *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: dotest.cal,v 29.2 2006/05/21 00:55:27 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/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
@@ -161,7 +157,7 @@ define dotest(dotest_file, dotest_code = 0, dotest_maxcond = -1)
      * test the close of the line file
      */
     printf("%d-: detected %d error condition(s), many of which may be OK\n",
-    	   dotest_code, dotest_old_errcount-dotest_errcnt);
+	   dotest_code, dotest_old_errcount-dotest_errcnt);
     printf("%d-: closing line file: %d\n", dotest_code, dotest_file);
     fclose(dotest_f_file);
 
@@ -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

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.4 $
- * @(#) $Id: ellip.cal,v 29.4 2006/06/20 09:29:16 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/ellip.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1990/02/15 01:50:33
  * File existed as early as:	before 1990

cal/factorial.cal

@@ -0,0 +1,200 @@
+/*
+ * factorial - implementation of different algorithms for the factorial
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * Under source code control:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+/*
+ * hide internal function from resource debugging
+ */
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+/*
+  get dependencies
+*/
+read -once toomcook;
+
+
+/* A simple list to keep things...uhm...simple?*/
+static __CZ__primelist = list();
+
+/* Helper for primorial: fill list with primes in range a,b */
+define __CZ__fill_prime_list(a,b)
+{
+  local k;
+  k=a;
+  if(isprime(k))k--;
+  while(1){
+    k = nextprime(k);
+    if(k > b) break;
+    append(__CZ__primelist,k );
+  }
+}
+
+/* Helper for factorial: how often prime p divides the factorial of n */
+define __CZ__prime_divisors(n,p)
+{
+    local q,m;
+    q = n;
+    m = 0;
+    if (p > n) return 0;
+    if (p > n/2) return 1;
+    while (q >= p) {
+        q  = q//p;
+        m += q;
+    }
+    return m;
+}
+
+/*
+  Wrapper. Please set cut-offs to own taste and hardware.
+*/
+define factorial(n){
+  local prime result shift prime_list k k1 k2 expo_list pix cut primorial;
+
+  result = 1;
+  prime  = 2;
+
+  if(!isint(n))  {
+    return newerror("factorial(n): n is not an integer"); ## or gamma(n)?
+  }
+  if(n < 0)      return newerror("factorial(n): n < 0");
+  if(n < 9000 && !isdefined("test8900"))   {
+    ## builtin is implemented with splitting but only with
+    ## Toom-Cook 2 (by Karatsuba (the father))
+    return n!;
+  }
+
+  shift = __CZ__prime_divisors(n,prime);
+  prime = 3;
+  cut = n//2;
+  pix   = pix(cut);
+  prime_list = mat[pix];
+  expo_list  = mat[pix];
+
+  k = 0;
+/*
+  Peter Borwein's algorithm
+
+  @Article{journals/jal/Borwein85,
+  author = {Borwein, Peter B.},
+  title  = {On the Complexity of Calculating Factorials.},
+  journal = {J. Algorithms},
+  year   = {1985},
+  number = {3},
+  url    = {http://dblp.uni-trier.de/db/journals/jal/jal6.html#Borwein85}
+*/
+
+  do {
+    prime_list[k]  = prime;
+    expo_list[k++] = __CZ__prime_divisors(n,prime);
+    prime          = nextprime(prime);
+  }while(prime <= cut);
+
+  /* size of the largest exponent in bits  */
+  k1 = highbit(expo_list[0]);
+  k2 = size(prime_list)-1;
+
+  for(;k1>=0;k1--){
+    /*
+       the cut-off for T-C-4 ist still to low, using T-C-3 here
+       TODO: check cutoffs
+     */
+    result = toomcook3square(result);
+    /*
+      almost all time is spend in this loop, so cutting of the
+      upper half of the primes makes sense
+    */
+    for(k=0; k<=k2; k++) {
+      if((expo_list[k] & (1 << k1)) != 0) {
+        result *= prime_list[k];
+      }
+    }
+
+  }
+  primorial = primorial( cut, n);
+  result *= primorial;
+  result <<= shift;
+  return result;
+}
+
+/*
+  Helper for primorial: do the product with binary splitting
+  TODO: do it without the intermediate list
+*/
+define __CZ__primorial__lowlevel( a, b ,p)
+{
+  local  c;
+  if( b == a) return p ;
+  if( b-a > 1){
+    c= (b + a) >> 1;
+    return  __CZ__primorial__lowlevel( a   , c , __CZ__primelist[a] )
+         *  __CZ__primorial__lowlevel( c+1 , b , __CZ__primelist[b] ) ;
+  }
+  return  __CZ__primelist[a] * __CZ__primelist[b];
+}
+
+/*
+   Primorial, Product of consecutive primes in range a,b
+
+  Originally meant to do primorials with a start different from 2, but
+  found out that this is faster at about a=1,b>=10^5 than the builtin
+  function pfact().  With the moderately small list a=1,b=10^6 (78498
+  primes) it is 3 times faster.  A quick look-up showed what was already
+  guessed: pfact() does it linearly.  (BTW: what is the time complexity
+  of the primorial with the naive algorithm?)
+*/
+define primorial(a,b)
+{
+  local C1 C2;
+  if(!isint(a)) return newerror("primorial(a,b): a is not an integer");
+  else if(!isint(b)) return newerror("primorial(a,b): b is not an integer");
+  else if(a < 0) return newerror("primorial(a,b): a < 0");
+  else if( b < 2 ) return newerror("primorial(a,b): b < 2");
+  else if( b < a) return newerror("primorial(a,b): b < a");
+  else{
+    /* last prime < 2^32 is also  max. prime for nextprime()*/
+    if(b >= 4294967291) return newerror("primorial(a,b): max. prime exceeded");
+    if(b ==  2) return 2;
+    /*
+      Can be extended by way of pfact(b)/pfact(floor(a-1/2)) for small a
+     */
+    if(a<=2 && b < 10^5) return pfact(b);
+    /* TODO: use pix() and a simple array (mat[])instead*/
+     __CZ__primelist = list();
+     __CZ__fill_prime_list(a,b);
+    C1 = size(__CZ__primelist)-1;
+    return __CZ__primorial__lowlevel( 0, C1,1)
+  }
+}
+
+
+/*
+ * restore internal function from resource debugging
+ * report important interface functions
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "factorial(n)";
+    print "primorial(a, b)";
+}

cal/factorial2.cal

@@ -0,0 +1,719 @@
+/*
+ * factorial2 - implementation of different factorial related functions
+ *
+ * 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
+ * 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:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+/*
+ * hide internal function from resource debugging
+ */
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+/*
+  get dependencies
+*/
+read -once factorial toomcook specialfunctions;
+
+
+/*
+  Factorize a factorial and put the result in a 2-column matrix with pi(n) rows
+  mat[ primes , exponent ]
+  Result can be restricted to start at a prime different from 2 with the second
+  argument "start". That arguments gets taken at face value if it prime and
+  smaller than n, otherwise the next larger prime is taken if that prime is
+  smaller than n.
+*/
+
+define __CZ__factor_factorial(n,start){
+  local prime prime_list k pix stop;
+
+
+  if(!isint(n)) return
+    newerror("__CZ__factor_factorial(n,start): n is not integer");
+  if(n <  0)    return newerror("__CZ__factor_factorial(n,start): n < 0");
+  if(n == 1)    return newerror("__CZ__factor_factorial(n,start): n == 1");
+
+  if(start){
+    if(!isint(start) && start < 0 && start > n)
+      return newerror("__CZ__factor_factorial(n,start): value of "
+		      "parameter 'start' out of range");
+    if(start == n && isprime(n)){
+      prime_list = mat[1 , 2];
+      prime_list[0,0] = n;
+      prime_list[0,1] = 1;
+    }
+    else if(!isprime(start) && nextprime(start) >n)
+      return newerror("__CZ__factor_factorial(n,start): value of parameter "
+		      "'start' out of range");
+    else{
+      if(!isprime(start))  prime = nextprime(start);
+      else prime = start;
+    }
+  }
+  else
+    prime = 2;
+
+  pix   = pix(n);
+  if(start){
+    pix -= pix(prime) -1;
+  }
+  prime_list = mat[pix , 2];
+
+  k = 0;
+
+  do {
+    prime_list[k  ,0] = prime;
+    prime_list[k++,1] = __CZ__prime_divisors(n,prime);
+    prime          = nextprime(prime);
+  }while(prime <= n);
+
+  return prime_list;
+}
+
+/*
+
+  subtracts exponents of n_1! from exponents of n_2! with n_1<=n_2
+
+  Does not check for size or consecutiveness of the primes or a carry
+*/
+
+define __CZ__subtract_factored_factorials(matrix_2n,matrix_n){
+  local k ret len1,len2,tmp count p e;
+  len1 = size(matrix_n)/2;
+  len2 = size(matrix_2n)/2;
+  if(len2<len1){
+
+    swap(len1,len2);
+    tmp = matrix_n;
+    matrix_n = matrix_2n;
+    matrix_2n = tmp;
+  }
+  tmp = mat[len1,2];
+  k   = 0;
+
+  for(;k<len1;k++){
+     p = matrix_2n[k,0];
+     e = matrix_2n[k,1] - matrix_n[k,1];
+     if(e!=0){
+       tmp[count  ,0] = p;
+       tmp[count++,1] = e;
+     }
+  }
+  ret = mat[count + (len2-len1),2];
+  for(k=0;k<count;k++){
+     ret[k,0] = tmp[k,0];
+     ret[k,1] = tmp[k,1];
+  }
+
+  free(tmp);
+  for(k=len1;k<len2;k++){
+     ret[count,0] = matrix_2n[k,0];
+     ret[count++,1] = matrix_2n[k,1];
+  }
+  return ret;
+}
+
+/*
+
+  adds exponents of n_1! to exponents of n_2! with n_1<=n_2
+
+  Does not check for size or consecutiveness of the primes or a carry
+*/
+
+define __CZ__add_factored_factorials(matrix_2n,matrix_n){
+  local k ret len1,len2,tmp;
+  len1 = size(matrix_n)/2;
+  len2 = size(matrix_2n)/2;
+  if(len2<len1){
+    swap(len1,len2);
+    tmp = matrix_n;
+    matrix_n = matrix_2n;
+    matrix_2n = tmp;
+  }
+  ret = mat[len2,2];
+  k   = 0;
+  for(;k<len1;k++){
+     ret[k,0] = matrix_2n[k,0];
+     ret[k,1] = matrix_2n[k,1] + matrix_n[k,1];
+  }
+  for(;k<len2;k++){
+     ret[k,0] = matrix_2n[k,0];
+     ret[k,1] = matrix_2n[k,1];
+  }
+  return ret;
+}
+
+/*
+   Does not check if all exponents are positive
+
+
+                   timings
+                   this		  comb	    comb-this     rel. k/n
+;  benchmark_binomial(10,13)
+n=2^13 k=2^10 	 0.064004 	 0.016001	+ 	0.76923076923076923077
+n=2^13 k=2^11 	 0.064004 	 0.048003	+ 	0.84615384615384615385
+n=2^13 k=2^12 	 0.068004 	 0.124008	- 	0.92307692307692307692
+;  benchmark_binomial(10,15)
+n=2^15 k=2^10 	 0.216014 	 0.024001	+ 	0.66666666666666666667
+n=2^15 k=2^11 	 0.220014 	 0.064004	+ 	0.73333333333333333333
+n=2^15 k=2^12 	 0.228014 	 0.212014	+ 	0.8
+n=2^15 k=2^13 	 0.216013 	 0.664042	- 	0.86666666666666666667
+n=2^15 k=2^14 	 0.240015 	 1.868117	- 	0.93333333333333333333
+;  benchmark_binomial(11,15)
+n=2^15 k=2^11 	 0.216014 	 0.068004	+ 	0.73333333333333333333
+n=2^15 k=2^12 	 0.236015 	 0.212013	+ 	0.8
+n=2^15 k=2^13 	 0.216013 	 0.656041	- 	0.86666666666666666667
+n=2^15 k=2^14 	 0.244016 	 1.872117	- 	0.93333333333333333333
+;  benchmark_binomial(11,18)
+n=2^18 k=2^11 	 1.652103 	 0.100006	+ 	0.61111111111111111111
+n=2^18 k=2^12 	 1.608101 	 0.336021	+ 	0.66666666666666666667
+n=2^18 k=2^13 	 1.700106 	 1.140071	+ 	0.72222222222222222222
+n=2^18 k=2^14 	 1.756109 	 3.924245	- 	0.77777777777777777778
+n=2^18 k=2^15 	 2.036127 	 13.156822	- 	0.83333333333333333333
+n=2^18 k=2^16 	 2.172135 	 41.974624	- 	0.88888888888888888889
+n=2^18 k=2^17 	 2.528158 	 121.523594	- 	0.94444444444444444444
+;  benchmark_binomial(15,25)
+n=2^25 k=2^15 	 303.790985 	 38.266392	+ 	0.6
+;  benchmark_binomial(17,25)
+n=2^25 k=2^17 	 319.127944 	 529.025062	- 	0.68
+*/
+
+define benchmark_binomial(s,limit){
+  local ret k A B T1 T2 start end N K;
+    N = 2^(limit);
+  for(k=s;k<limit;k++){
+    K = 2^k;
+   start=usertime();A=binomial(N,K);end=usertime();
+   T1 = end-start;
+   start=usertime();B=comb(N,K);end=usertime();
+   T2 = end-start;
+   print "n=2^"limit,"k=2^"k,"	",T1,"	",T2,T1<T2?"-":"+","	"k/limit;
+   if(A!=B){
+     print "false";
+    break;
+   }
+  }
+}
+
+define __CZ__multiply_factored_factorial(matrix,stop){
+  local prime result shift prime_list k k1 k2 expo_list pix count start;
+  local hb flag;
+
+  result = 1;
+  shift  = 0;
+
+
+  if(!ismat(matrix))
+   return newerror("__CZ__multiply_factored_factorial(matrix): "
+		   "argument matrix not a matrix ");
+  if(!matrix[0,0])
+    return
+      newerror("__CZ__multiply_factored_factorial(matrix): "
+	       "matrix[0,0] is null/0");
+
+  if(!isnull(stop))
+    pix = stop;
+  else
+    pix   = size(matrix)/2-1;
+
+  if(matrix[0,0] == 2 && matrix[0,1] > 0){
+    shift = matrix[0,1];
+    if(pix-1 == 0)
+      return 2^matrix[0,1];
+  }
+
+  /*
+    This is a more general way to do the multiplication, so any optimization
+    must have been done by the caller.
+  */
+  k = 0;
+  /*
+     The size of the largest exponent in bits is calculated dynamically.
+     Can be done more elegantly and saves one run over the whole array if done
+     inside the main loop.
+   */
+  hb =0;
+  for(k=0;k<pix;k++){
+    k1=highbit(matrix[k,1]);
+    if(hb < k1)hb=k1;
+  }
+
+  k2 = pix;
+  start = 0;
+  if(shift) start++;
+
+  for(k1=hb;k1>=0;k1--){
+    /*
+       the cut-off for T-C-4 ist still too low, using T-C-3 here
+       TODO: check cutoffs
+     */
+    result = toomcook3square(result);
+
+    for(k=start; k<=k2; k++) {
+      if((matrix[k,1] & (1 << k1)) != 0) {
+        result *= matrix[k,0];
+      }
+    }
+  }
+
+  result <<= shift;
+  return result;
+}
+
+/*
+    Compute binomial coefficients n!/(k!(n-k)!)
+
+    One of the rare cases where a formula once meant to ease manual computation
+    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.
+*/
+define binomial(n,k){
+  local ret factored_n factored_k factored_nk denom num quot K prime_list prime;
+  local pix diff;
+
+  if(!isint(n) || !isint(k))
+    return newerror("binomial(n,k): input is not integer");
+  if(n<0 || k<0)
+    return newerror("binomial(n,k): input is not >= 0"); ;
+  if(n<k )   return 0;
+  if(n==k)   return 1;
+  if(k==0)   return 1;
+  if(k==1)   return n;
+  if(n-k==1) return n;
+  /*
+      cut-off depends on real size of n,k and size of n/k
+      The current cut-off is to small for large n, e.g.:
+      for 2n=2^23, k=n-n/2 the quotient is q=2n/k=0.25. Empirical tests showed
+      that 2n=2^23 and k=2^16  with q=0.0078125 are still faster than the
+      builtin function.
+
+      The symmetry (n,k) = (n,n-k) is of not much advantage here. One way
+      might be to get closer to k=n/2 if k<n-k but only if the difference
+      is small and n very large.
+   */
+  if(n<2e4 && !isdefined("test8900"))  return comb(n,k);
+  if(n<2e4 && k< n-n/2 && !isdefined("test8900")) return comb(n,k);
+  /*
+    This should be done in parallel to save some memory, e.g. no temporary
+    arrays are needed, all can be done inline.
+    The theoretical memory needed is pi(k).
+    Which is still a lot.
+  */
+
+  prime = 2;
+  pix   = pix(n);
+  prime_list = mat[pix , 2];
+  K = 0;
+  do {
+    prime_list[K  ,0] = prime;
+    diff = __CZ__prime_divisors(n,prime)-
+	   ( __CZ__prime_divisors(n-k,prime)+__CZ__prime_divisors(k,prime));
+    if(diff != 0)
+      prime_list[K++,1] = diff;
+    prime          = nextprime(prime);
+  }while(prime <= k);
+
+  do {
+    prime_list[K  ,0] = prime;
+    diff = __CZ__prime_divisors(n,prime)-__CZ__prime_divisors(n-k,prime);
+    if(diff != 0)
+      prime_list[K++,1] = diff;
+    prime          = nextprime(prime);
+  }while(prime <= n-k);
+
+  do {
+    prime_list[K  ,0] = prime;
+    prime_list[K++,1] = __CZ__prime_divisors(n,prime);
+    prime          = nextprime(prime);
+  }while(prime <= n);
+  ##print K,pix(k),pix(n-k),pix(n);
+  ##factored_k  = __CZ__factor_factorial(k,1);
+  ##factored_nk = __CZ__factor_factorial(n-k,1);
+
+  ##denom = __CZ__add_factored_factorials(factored_k,factored_nk);
+    ##free(factored_k,factored_nk);
+  ##num  = __CZ__factor_factorial(n,1);
+  ##quot  = __CZ__subtract_factored_factorials( num , denom );
+    ##free(num,denom);
+
+  ret = __CZ__multiply_factored_factorial(`prime_list,K-1);
+
+  return ret;
+}
+
+/*
+    Compute large catalan numbers  C(n) = binomial(2n,n)/(n+1) with
+    cut-off: (n>5e4)
+    Needs a lot of memory.
+*/
+define bigcatalan(n){
+  if(!isint(n) )return newerror("bigcatalan(n): n is not integer");
+  if( n<0) return newerror("bigcatalan(n): n < 0");
+  if( n<5e4 && !isdefined("test8900") ) return catalan(n);
+  return binomial(2*n,n)/(n+1);
+}
+
+/*
+  df(-111) = -1/3472059605858239446587523014902616804783337112829102414124928
+		7753332469144201839599609375
+
+ df(-3+1i) = 0.12532538977287649201-0.0502372106177184607i
+ df(2n + 1) = (2*n)!/(n!*2^n)
+*/
+define __CZ__double_factorial(n){
+  local n1 n2 diff prime pix K prime_list k;
+  prime = 3;
+  pix   = pix(2*n)+1;
+  prime_list = mat[pix , 2];
+  K = 0;
+  do {
+    prime_list[K  ,0] = prime;
+    diff = __CZ__prime_divisors(2*n,prime)-( __CZ__prime_divisors(n,prime));
+    if(diff != 0)
+      prime_list[K++,1] = diff;
+    prime          = nextprime(prime);
+  }while(prime <= n);
+  do {
+    prime_list[K  ,0] = prime;
+    prime_list[K++,1] = __CZ__prime_divisors(2*n,prime);
+    prime          = nextprime(prime);
+  }while(prime <= 2*n);
+  return __CZ__multiply_factored_factorial(prime_list,K);
+/*
+        n1=__CZ__factor_factorial(2*n,1);
+        n1[0,1] = n1[0,1]-n;
+        n2=__CZ__factor_factorial(n,1);
+        diff=__CZ__subtract_factored_factorials( n1 , n2 );
+        return __CZ__multiply_factored_factorial(diff);
+*/
+}
+
+##1, 1, 3, 15, 105, 945, 10395, 135135, 2027025, 34459425, 654729075,
+##13749310575, 316234143225, 7905853580625, 213458046676875,
+##6190283353629375, 191898783962510625, 6332659870762850625,
+##221643095476699771875, 8200794532637891559375
+
+## 1, 2, 8, 48, 384, 3840, 46080, 645120, 10321920, 185794560,
+##3715891200, 81749606400, 1961990553600, 51011754393600,
+##1428329123020800, 42849873690624000, 1371195958099968000,
+##46620662575398912000, 1678343852714360832000, 63777066403145711616000
+define doublefactorial(n){
+    local n1 n2 diff eps ret;
+    if(!isint(n) ){
+       /*
+           Probably one of the not-so-good ideas. See result of
+            http://www.wolframalpha.com/input/?i=doublefactorial%28a%2Bbi%29
+        */
+       eps=epsilon(epsilon()*1e-2);
+       ret =  2^(n/2-1/4 * cos(pi()* n)+1/4) * pi()^(1/4 *
+	      cos(pi()* n)-1/4)* gamma(n/2+1);
+       epsilon(eps);
+       return ret;
+    }
+    if(n==2) return 2;
+    if(n==3) return 3;
+    switch(n){
+      case -1:
+      case 0 : return 1;break;
+      case 2 : return 2;break;
+      case 3 : return 3;break;
+      case 4 : return 8;break;
+      default: break;
+    }
+    if(isodd(n)){
+      /*
+        TODO: find reasonable cutoff
+        df(2n + 1) = (2*n)!/(n!*2^n)
+      */
+      if(n>0){
+         n = (n+1)//2;
+         return __CZ__double_factorial(n);
+      }
+      else{
+        if(n == -3 ) return -1;
+        n = ((-n)-1)/2;
+        return ((-1)^-n)/__CZ__double_factorial(n);
+       }
+    }
+    else{
+      /*
+         I'm undecided here. The formula for complex n is valid for the negative
+         integers, too.
+      */
+      n = n>>1;
+      if(n>0){
+        if(!isdefined("test8900"))
+          return factorial(n)<<n;
+        else
+          return n!<<n;
+      }
+      else
+        return newerror("doublefactorial(n): even(n) < 0");
+   }
+}
+
+/*
+    Algorithm 3.17,
+    Donald Kreher and Douglas Simpson,
+    Combinatorial Algorithms,
+    CRC Press, 1998, page 89.
+*/
+static __CZ__stirling1;
+static __CZ__stirling1_n = -1;
+static __CZ__stirling1_m = -1;
+
+define stirling1(n,m){
+  local i j k;
+  if(n<0)return newerror("stirling1(n,m): n <= 0");
+  if(m<0)return newerror("stirling1(n,m): m < 0");
+  if(n<m) return 0;
+  if(n==m) return 1;
+  if(m==0 || n==0) return 0;
+  /* We always use the list */
+  /*
+  if(m=1){
+    if(iseven(n)) return -factorial(n-1);
+    else return factorial(n-1);
+  }
+  if(m == n-1){
+    if(iseven(n)) return -binomial(n,2);
+    else return -binomial(n,2);
+  }
+  */
+  if(__CZ__stirling1_n >= n && __CZ__stirling1_m  >= m){
+    return __CZ__stirling1[n,m];
+  }
+  else{
+    __CZ__stirling1      = mat[n+1,m+1];
+    __CZ__stirling1[0,0] = 1;
+    for(i=1;i<=n;i++)
+      __CZ__stirling1[i,0] = 0;
+    for(i=1;i<=n;i++){
+      for(j=1;j<=m;j++){
+        if(j<=i){
+          __CZ__stirling1[i, j] =   __CZ__stirling1[i - 1, j - 1] - (i - 1)\
+                                  * __CZ__stirling1[i - 1, j];
+        }
+        else{
+         __CZ__stirling1[i, j] = 0;
+        }
+      }
+    }
+    __CZ__stirling1_n = n;
+    __CZ__stirling1_m = m;
+    return __CZ__stirling1[n,m];
+  }
+}
+
+define stirling2(n,m){
+  local k sum;
+  if(n<0)return newerror("stirling2(n,m): n < 0");
+  if(m<0)return newerror("stirling2(n,m): m < 0");
+  if(n<m) return 0;
+  if(n==0 && n!=m) return 0;
+  if(n==m) return 1;
+  if(m==0 )return 0;
+  if(m==1) return 1;
+  if(m==2) return 2^(n-1)-1;
+  /*
+    There are different methods to speed up alternating sums.
+    This one doesn't.
+   */
+  if(isdefined("test8900")){
+    for(k=0;k<=m;k++){
+      sum += (-1)^(m-k)*comb(m,k)*k^n;
+    }
+  return sum/(m!);
+  }
+  else{
+    for(k=0;k<=m;k++){
+      sum += (-1)^(m-k)*binomial(m,k)*k^n;
+    }
+  return sum/factorial(m);
+  }
+}
+
+static __CZ__stirling2;
+static __CZ__stirling2_n = -1;
+static __CZ__stirling2_m = -1;
+define stirling2caching(n,m){
+  local nm i j ;
+  if(n<0)return newerror("stirling2iter(n,m): n < 0");
+  if(m<0)return newerror("stirling2iter(n,m): m < 0");
+  /* no shortcuts here */
+
+  if(n<m) return 0;
+  if(n==0 && n!=m) return 0;
+  if(n==m) return 1;
+  if(m==0 )return 0;
+  if(m==1) return 1;
+  if(m==2) return 2^(n-1)-1;
+
+  nm = n-m;
+  if(__CZ__stirling2_n >= n && __CZ__stirling2_m >= m){
+    return __CZ__stirling2[n,m];
+  }
+  else{
+    __CZ__stirling2 = mat[n+1,m+1];
+    __CZ__stirling2[0,0] = 1;
+    for(i=1;i<=n;i++){
+      __CZ__stirling2[i,0] = 0;
+      for(j=1;j<=m;j++){
+        if(j<=i){
+          __CZ__stirling2[i, j] =   __CZ__stirling2[i -1, j -1] + (j )\
+                                  * __CZ__stirling2[i - 1, j];
+        }
+        else{
+         __CZ__stirling2[i, j] = 0;
+        }
+      }
+    }
+  }
+  __CZ__stirling2_n = (n);
+  __CZ__stirling2_m = (m);
+  return __CZ__stirling2[n,m];
+}
+
+define bell(n){
+  local sum s2list k A;
+
+  if(!isint(n)) return newerror("bell(n): n is not integer");
+  if(n < 0) return newerror("bell(n): n is not positive");
+  /* place some more shortcuts here?*/
+  if(n<=15){
+    mat A[16] = {
+                  1, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 678570,
+                  4213597, 27644437, 190899322, 1382958545
+                };
+    return A[n];
+  }
+  /* Start by generating the list of stirling numbers of the second kind */
+  s2list = stirling2caching(n,n//2);
+  if(iserror(s2list))
+    return newerror("bell(n): could not build stirling num. list");
+  sum = 0;
+  for(k=1;k<=n;k++){
+      sum += stirling2caching(n,k);
+  }
+  return sum;
+}
+
+define subfactorialrecursive(n){
+  if(n==0) return 1;
+  if(n==1) return 0;
+  if(n==2) return 1;
+  return n * subfactorialrecursive(n-1) + (-1)^n;
+}
+
+/* This is, quite amusingly, faster than the very same algorithm in
+   PARI/GP + GMP*/
+define subfactorialiterative(n){
+  local k temp1 temp2 ret;
+  if(n==0) return 1;
+  if(n==1) return 0;
+  if(n==2) return 1;
+  temp1 = 0;
+  ret   = 1;
+  for(k=3;k<=n;k++){
+    temp2 = temp1;
+    temp1 = ret;
+    ret =  (k-1) *(temp1 + temp2);
+  }
+  return ret;
+}
+
+define subfactorial(n){
+  local epsilon eps ret lnfact;
+  if(!isint(n))return  newerror("subfactorial(n): n is not integer.");
+  if(n < 0)return  newerror("subfactorial(n): n < 0");
+  return subfactorialiterative(n);
+}
+
+define risingfactorial(x,n){
+  local num denom quot ret;
+  if(n == 1) return x;
+  if(x==0) return newerror("risingfactorial(x,n): x == 0");
+  if(!isint(x) || !isint(n)){
+    return gamma(x+n)/gamma(x);
+  }
+  if(x<1)return newerror("risingfactorial(x,n): integer x and x < 1");
+  if(x+n < 1)return newerror("risingfactorial(x,n): integer x+n and x+n < 1");
+  if(x<9000&&n<9000){
+    return (x+n-1)!/(x-1)!;
+  }
+  else{
+    num   = __CZ__factor_factorial(x+n-1,1);
+    denom = __CZ__factor_factorial(x-1,1);
+    quot  = __CZ__subtract_factored_factorials( num , denom );
+      free(num,denom);
+    ret = __CZ__multiply_factored_factorial(quot);
+    return ret;
+  }
+}
+
+define fallingfactorial(x,n){
+  local num denom quot ret;
+  if(n == 0) return 1;
+
+  if(!isint(x) || !isint(n)){
+    if(x == n) return gamma(x+1);
+    return gamma(x+1)/gamma(x-n+1);
+  }
+  else{
+    if(x<0 || x-n < 0)
+     return newerror("fallingfactorial(x,n): integer x<0 or x-n < 0");
+    if(x == n) return factorial(x);
+    if(x<9000&&n<9000){
+      return (x)!/(x-n)!;
+    }
+    else{
+      num   = __CZ__factor_factorial(x,1);
+      denom = __CZ__factor_factorial(x-n,1);
+      quot  = __CZ__subtract_factored_factorials( num , denom );
+        free(num,denom);
+      ret = __CZ__multiply_factored_factorial(quot);
+      return ret;
+    }
+  }
+}
+
+
+/*
+ * restore internal function from resource debugging
+ * report important interface functions
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "binomial(n,k)";
+    print "bigcatalan(n)";
+    print "doublefactorial(n)";
+    print "subfactorial(n)";
+    print "stirling1(n,m)";
+    print "stirling2(n,m)";
+    print "stirling2caching(n,m)";
+    print "bell(n)";
+    print "subfactorial(n)";
+    print "risingfactorial(x,n)";
+    print "fallingfactorial(x,n)";
+}

cal/gvec.cal

@@ -0,0 +1,103 @@
+/*
+ * gvec - vectorize any single-input function or trailing operator
+ *
+ * This version accepts arbitrary number of arguments, but of course
+ * they must all be same length vectors.
+ *
+ * The gvec function is for use in either a two-arg function or a two-arg
+ * operation "function" must be first; calc doesn't care how many more
+ * arguments there actually are.
+ *
+ * Under source code control:   2011/03/31 17:54:55
+ * File existed as early as:    2010
+ *
+ * By Carl Witthoft carl at witthoft dot com
+ */
+
+define gvec(function, vector)
+{
+    local xlen,y,foo;
+    local precx = 1e-50;	/* default for now */
+    local argc = param(0)-1;
+    local old_tilde;		/* previous config("tilde") */
+
+    /*
+     * parse args
+     */
+    local plist = mat[argc];
+    if (config("resource_debug") & 8) {
+	print "plist=", plist;
+	print "argc=", argc;
+    }
+    for(local i = 0; i< argc; i++) {
+	local ii = i + 2;
+	if (config("resource_debug") & 8) {
+	    print "ii=", ii;
+	    print "param(" : ii : "}=", param(ii);
+	    print "size(param(" : ii : ")=", size(param(ii));
+	}
+	plist[i] = size(param(ii));
+    }
+    local slist=sort(plist);
+    if (config("resource_debug") & 8) {
+	print "plist=", plist;
+    }
+    local argm = argc-1;
+    if (config("resource_debug") & 8) {
+	print "argm=", argm;
+    }
+    if (slist[0] != slist[argm]) {
+	quit "lengths don't match";
+    }
+    xlen = size(vector);
+    y = mat[xlen];
+
+    /*
+     * We can't do str(vector[j]) outside loop, eval() petulantly refuses to
+     * look at local variables.
+     *
+     * Also we need to config("tilde",0) to turn off lead tilde
+     * (so str(vector[j]) looks like a number.
+     */
+    old_tilde = config("tilde",0);
+
+    /*
+     * Ok, now check to see if "function" is a function.  If not, it's an
+     * operation and it's up to user to make it valid
+     */
+    if (isdefined(function)) {
+
+	/* yep, it's a function, either builtin or user-defined */
+	for (local j=0; j<xlen; j++) {
+
+	    /* build the function call */
+	    foo = strcat(function, "(");
+	    for (local jj = 0; jj<argc; jj++) {
+		foo = strcat(foo , str(param(jj+2)[j]), ",");
+	    }
+	    foo = strcat(foo, str(precx), ")");
+	    if (config("resource_debug") & 8) {
+		print "foo=", foo;
+	    }
+	    y[j] = eval(foo);
+	}
+
+    /*
+     * it is an operator --  multi-argument operator makes no sense
+     */
+    } else {
+	if (argc > 1) {
+	    quit "Error: operator can accept only one argument";
+	}
+	for (j=0; j<xlen; j++) {
+	    foo = strcat(str(vector[j]), function);
+	    y[j] = eval(foo);
+	}
+    }
+
+    /* restore tilde mode if needed */
+    config("tilde", old_tilde);
+
+    /* return result */
+    return y;
+}

cal/hello.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: hello.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/hello.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1996/11/13 13:25:43
  * File existed as early as:	1996

cal/hms.cal

@@ -0,0 +1,364 @@
+/*
+ * hms - calculate in hours, minutes, and seconds
+ *
+ * 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
+ * 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:	2010/09/01 17:14:55
+ * File existed as early as:	2010
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+obj hms {hour, min, sec};
+
+define hms(hour, min, sec)
+{
+    local obj hms ans;		/* return value */
+
+    /* default missing args to 0 */
+    if (isnull(sec)) {
+	sec = 0;
+    }
+    if (isnull(min)) {
+	min = 0;
+    }
+
+    /* load object */
+    ans.hour = hour;
+    ans.min = min;
+    ans.sec = sec;
+
+    /* return properly formed object */
+    ans = fixhms(ans);
+    return ans;
+}
+
+
+define hms_add(a, b)
+{
+    local obj hms ans;		/* return value */
+
+    /* initialize value to 1st arg */
+    if (istype(a, ans)) {
+	/* 1st arg is hms object, load it */
+	ans.hour = a.hour;
+	ans.min = a.min;
+	ans.sec = a.sec;
+    } else {
+	/* 1st arg is not hms, assume scalar hours */
+	ans.hour = a;
+	ans.min = 0;
+	ans.sec = 0;
+    }
+
+    /* add value of 2nd arg */
+    if (istype(b, ans)) {
+	/* 2nd arg is hms object, add it */
+	ans.hour += b.hour;
+	ans.min += b.min;
+	ans.sec += b.sec;
+    } else {
+	/* 2nd arg is not hms, add scalar hours */
+	ans.hour += b;
+    }
+
+    /* return normalized result */
+    ans = fixhms(ans);
+    return ans;
+}
+
+
+define hms_neg(a)
+{
+    local obj hms ans;		/* return value */
+
+    /* negate argument */
+    if (istype(a, ans)) {
+	/* 1st arg is hms object, load it */
+	ans.hour = -a.hour;
+	ans.min = -a.min;
+	ans.sec = -a.sec;
+    } else {
+	/* 2nd arg is not hms, negate scalar hours */
+	ans.hour = -a;
+	ans.min = 0;
+	ans.sec = 0;
+    }
+
+    /* return normalized result */
+    ans = fixhms(ans);
+    return ans;
+}
+
+
+define hms_sub(a, b)
+{
+    local obj hms ans;		/* return value */
+
+    /* initialize value to 1st arg */
+    if (istype(a, ans)) {
+	/* 1st arg is hms object, load it */
+	ans.hour = a.hour;
+	ans.min = a.min;
+	ans.sec = a.sec;
+    } else {
+	/* 1st arg is not hms, assume scalar hours */
+	ans.hour = a;
+	ans.min = 0;
+	ans.sec = 0;
+    }
+
+    /* subtract value of 2nd arg */
+    if (istype(b, ans)) {
+	/* 2nd arg is hms object, subtract it */
+	ans.hour -= b.hour;
+	ans.min -= b.min;
+	ans.sec -= b.sec;
+    } else {
+	/* 2nd arg is not hms, subtract scalar hours */
+	ans.hour -= b;
+    }
+
+    /* return normalized result */
+    ans = fixhms(ans);
+    return ans;
+}
+
+
+define hms_mul(a, b)
+{
+    local obj hms ans;		/* return value */
+
+    /* hms object multiplication */
+    if (istype(a, ans) && istype(b, ans)) {
+	ans.hour = hms_abs(a) * hms_abs(b);
+	ans.min = 0;
+	ans.sec = 0;
+
+    /* scalar multiplication */
+    } else if (istype(a, ans)) {
+	ans.hour = a.hour * b;
+	ans.min = a.min * b;
+	ans.sec = a.sec * b;
+    } else {
+	ans.hour = b.hour * a;
+	ans.min = b.min * a;
+	ans.sec = b.sec * a;
+    }
+
+    /* return normalized result */
+    ans = fixhms(ans);
+    return ans;
+}
+
+
+define hms_print(a)
+{
+    local obj hms ans;		/* temp object for hms type testing */
+
+    /* firewall - arg must be a hms object */
+    if (! istype(a, ans)) {
+	quit "hms_print called with non hms object";
+    }
+
+    /* print in hms form */
+    print a.hour : ':' : a.min : ':' : a.sec :;
+}
+
+
+define hms_abs(a)
+{
+    local obj hms ans;		/* temp object for hms type testing */
+    local hour;			/* return scalar value */
+
+    /* firewall - just absolute value non hms objects */
+    if (! istype(a, ans)) {
+	return abs(a);
+    }
+
+    /* compute hours */
+    hour = a.hour + a.min / 60 + a.sec / 3600;
+
+    /* return hours */
+    return hour;
+}
+
+
+define hms_norm(a)
+{
+    local obj hms ans;		/* temp object for hms type testing */
+    local hour;			/* hours */
+
+    /* firewall - arg must be a hms object */
+    if (! istype(a, ans)) {
+	quit "hms_norm called with non hms object";
+    }
+
+    /* square hours (norm is the square of absolute value */
+    hour = hms_abs(a);
+
+    /* return hours */
+    return hour*hour;
+}
+
+
+define hms_test(a)
+{
+    local obj hms ans;		/* temp value */
+
+    /* firewall - arg must be a hms object */
+    if (! istype(a, ans)) {
+	quit "hms_test called with non hms object";
+    }
+
+    /* return false of non-zero */
+    ans = fixhms(a);
+    if (ans.hour == 0 && ans.min == 0 && ans.sec == 0) {
+	/* false */
+	return 0;
+    }
+    /* true */
+    return 1;
+}
+
+
+define hms_int(a)
+{
+    local obj hms ans;		/* return value */
+
+    /* firewall - arg must be a hms object */
+    if (! istype(a, ans)) {
+	quit "hms_int called with non hms object";
+    }
+
+    /* normalize the argument */
+    ans = fixhms(a);
+
+    /* truncate to the nearest second */
+    ans.sec = int(ans.sec);
+
+    /* return value to the nearest second */
+    return ans;
+}
+
+
+define hms_frac(a)
+{
+    local obj hms ans;		/* return value */
+
+    /* firewall - arg must be a hms object */
+    if (! istype(a, ans)) {
+	quit "hms_frac called with non hms object";
+    }
+
+    /* normalize the argument */
+    ans = fixhms(a);
+
+    /* remove all but fractional seconds */
+    ans.hour = 0;
+    ans.min = 0;
+    ans.sec = frac(ans.sec);
+
+    /* return value to the second fraction */
+    return ans;
+}
+
+
+define hms_rel(a,b)
+{
+    local abs_a, abs_b;		/* scalars of the arguments */
+
+    /* compute scalars of the arguments */
+    abs_a = hms_abs(a);
+    abs_b = hms_abs(b);
+
+    /* return the comparison */
+    return cmp(abs_a, abs_b);
+}
+
+
+define hms_cmp(a,b)
+{
+    local abs_a, abs_b;		/* scalars of the arguments */
+
+    /* compute scalars of the arguments */
+    abs_a = hms_abs(a);
+    abs_b = hms_abs(b);
+
+    /* return the equality comparison */
+    return (abs_a == abs_b);
+}
+
+
+define hms_inc(a)
+{
+    local obj hms ans;		/* return value */
+
+    /* increment a hms object */
+    if (istype(a, ans)) {
+	ans = a;
+	++ans.sec;
+
+	/* return normalized result */
+	ans = fixhms(ans);
+	return ans;
+    }
+
+    /* increment a scalar */
+    return a+1;
+}
+
+
+define hms_dec(a)
+{
+    local obj hms ans;		/* return value */
+
+    /* decrement a hms object */
+    if (istype(a, ans)) {
+	ans = a;
+	--ans.sec;
+
+	/* return normalized result */
+	ans = fixhms(ans);
+	return ans;
+    }
+
+    /* decrement a scalar */
+    return a-1;
+}
+
+
+define fixhms(a)
+{
+    local obj hms ans;		/* temp value */
+
+    /* firewall */
+    if (! istype(a, ans)) {
+	quit "attempt to fix a non hms object";
+    }
+
+    /* use builtin h2hms function */
+    h2hms(a.hour + a.min/60 + a.sec/3600, a.hour, a.min, a.sec),;
+
+    /* return normalized result */
+    return a;
+}
+
+if (config("resource_debug") & 3) {
+    print "obj hms {hour, min, sec} defined";
+}

cal/infinities.cal

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

cal/intfile.cal

@@ -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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.5 $
- * @(#) $Id: intfile.cal,v 29.5 2001/04/10 22:09:34 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/intfile.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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)
- *	 or that ends with lots of 0 bits (in the case of little 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)
  *	 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
@@ -160,7 +156,7 @@ define be2file(v, filename)
      */
     octlen = int((highbit(v)+8) / 8);
     for (i=octlen-1; i >= 0; --i) {
-    	fputc(fd, char(v >> (i*8)));
+	fputc(fd, char(v >> (i*8)));
     }
 
     /*
@@ -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

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

cal/lambertw.cal

@@ -0,0 +1,284 @@
+/*
+ * lambertw - Lambert's W-function
+ *
+ * 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
+ * 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:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+/*
+
+     R. M. Corless and G. H. Gonnet and D. E. G. Hare and D. J. Jeffrey and
+     D. E. Knuth, "On the Lambert W Function", Advances n Computational
+     Mathematics, 329--359, (1996)
+     http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.112.6117
+
+     D. J. Jeffrey, D. E. G. Hare, R. M. Corless, "Unwinding the branches of the
+     Lambert W function", The Mathematical Scientist, 21, pp 1-7, (1996)
+     http://www.apmaths.uwo.ca/~djeffrey/Offprints/wbranch.pdf
+
+     Darko Verebic, "Having Fun with Lambert W(x) Function"
+     arXiv:1003.1628v1, March 2010, http://arxiv.org/abs/1003.1628
+
+     Winitzki, S. "Uniform Approximations for Transcendental Functions",
+     In Part 1 of Computational Science and its Applications - ICCSA 2003,
+     Lecture Notes in Computer Science, Vol. 2667, Springer-Verlag,
+     Berlin, 2003, 780-789. DOI 10.1007/3-540-44839-X_82
+     A copy may be found by Google.
+
+
+*/
+static true = 1;
+static false = 0;
+
+/* Branch 0, Winitzki (2003) , the well known Taylor series*/
+define __CZ__lambertw_0(z,eps){
+  local a=2.344e0, b=0.8842e0, c=0.9294e0, d=0.5106e0, e=-1.213e0;
+  local y=sqrt(2*exp(1)*z+2);
+  return (2*ln(1+b*y)-ln(1+c*ln(1+d*y))+e)/(1+1/(2*ln(1+b*y)+2*a));
+}
+/* branch -1 */
+define __CZ__lambertw_m1(z,eps){
+  local wn k;
+  /* Cut-off found in Maxima */
+  if(z < 0.3) return __CZ__lambertw_app(z,eps);
+  wn = z;
+  /*  Verebic (2010) eqs. 16-18*/
+  for(k=0;k<10;k++){
+    wn = ln(-z)-ln(-wn);
+  }
+  return wn;
+}
+
+/*
+  generic approximation
+
+  series for 1+W((z-2)/(2 e))
+
+  Corless et al (1996) (4.22)
+  Verebic (2010) eqs. 35-37; more coefficients given at the end of sect. 3.1
+  or online
+     http://www.wolframalpha.com/input/?
+       i=taylor+%28+1%2Bproductlog%28+%28z-2%29%2F%282*e%29+%29+%29
+  or by using the function lambertw_series_print() after running
+  lambertw_series(z,eps,branch,terms) at least once with the wanted number of
+  terms and z = 1 (which might throw an error because the series will not
+  converge in anybodies lifetime for something that far from the branch point).
+
+
+*/
+define __CZ__lambertw_app(z,eps){
+  local  b0=-1, b1=1, b2=-1/3, b3=11/72;
+  local  y=sqrt(2*exp(1)*z+2);
+  return b0 + ( y * (b1 + (y * (b2 + (b3 * y)))));
+}
+
+static __CZ__Ws_a;
+static __CZ__Ws_c;
+static __CZ__Ws_len=0;
+
+define lambertw_series_print(){
+  local k;
+  for(k=0;k<__CZ__Ws_len;k++){
+    print num(__CZ__Ws_c[k]):"/":den(__CZ__Ws_c[k]):"*p^":k;
+  }
+}
+
+/*
+   The series is fast but only if _very_ close to the branch point
+   The exact branch must be given explicitly, e.g.:
+
+; lambertw(-exp(-1)+.001)-lambertw_series(-exp(-1)+.001,epsilon()*1e-10,0)
+	-0.14758879113205794065490184399030194122136720202792-
+                  0.00000000000000000000000000000000000000000000000000i
+; lambertw(-exp(-1)+.001)-lambertw_series(-exp(-1)+.001,epsilon()*1e-10,1)
+	0.00000000000000000000000000000000000000000000000000-
+                  0.00000000000000000000000000000000000000000000000000i
+ */
+define lambertw_series(z,eps,branch,terms){
+  local k l limit tmp sum A C P PP epslocal;
+  if(!isnull(terms))
+    limit = terms;
+  else
+    limit = 100;
+
+  if(isnull(eps))
+    eps = epsilon(epsilon()*1e-10);
+  epslocal = epsilon(eps);
+
+  P = sqrt(2*(exp(1)*z+1));
+  if(branch != 0) P = -P;
+  tmp=0;sum=0;PP=P;
+
+    __CZ__Ws_a   = mat[limit+1];
+    __CZ__Ws_c   = mat[limit+1];
+    __CZ__Ws_len = limit;
+   /*
+      c0 = -1; c1 = 1
+      a0 =  2; a1 =-1
+    */
+    __CZ__Ws_c[0] = -1; __CZ__Ws_c[1] =  1;
+    __CZ__Ws_a[0] =  2; __CZ__Ws_a[1] = -1;
+    sum += __CZ__Ws_c[0];
+    sum += __CZ__Ws_c[1] * P;
+    PP *= P;
+    for(k=2;k<limit;k++){
+      for(l=2;l<k;l++){
+         __CZ__Ws_a[k] += __CZ__Ws_c[l]*__CZ__Ws_c[k+1-l];
+      }
+
+      __CZ__Ws_c[k] = (k-1) * (  __CZ__Ws_c[k-2]/2
+                            +__CZ__Ws_a[k-2]/4)/
+                      (k+1)-__CZ__Ws_a[k]/2-__CZ__Ws_c[k-1]/(k+1);
+      tmp = __CZ__Ws_c[k] * PP;
+      sum += tmp;
+      if(abs(tmp) <= eps){
+        epsilon(epslocal);
+        return sum;
+      }
+      PP *= P;
+    }
+    epsilon(epslocal);
+    return
+      newerror(strcat("lambertw_series: does not converge in ",
+                        str(limit)," terms" ));
+}
+
+/* */
+define lambertw(z,branch){
+  local eps epslarge ret branchpoint bparea w we ew w1e wn k places m1e;
+  local closeness;
+
+  eps = epsilon();
+  if(branch == 0){
+    if(!im(z)){
+      if(abs(z) <= eps) return 0;
+      if(abs(z-exp(1)) <= eps) return 1;
+      if(abs(z - (-ln(2)/2)) <= eps ) return -ln(2);
+      if(abs(z - (-pi()/2)) <= eps ) return 1i*pi()/2;
+    }
+  }
+
+  branchpoint = -exp(-1);
+  bparea = .2;
+  if(branch == 0){
+    if(!im(z) && abs(z-branchpoint) == 0) return -1;
+    ret = __CZ__lambertw_0(z,eps);
+   /* Yeah, C&P, I know, sorry */
+   ##ret = ln(z) + 2*pi()*1i*branch - ln(ln(z)+2*pi()*1i*branch);
+  }
+  else if(branch == 1){
+    if(im(z)<0 && abs(z-branchpoint) <= bparea)
+      ret = __CZ__lambertw_app(z,eps);
+   /* Does calc have a goto? Oh, it does!  */
+    ret =ln(z) + 2*pi()*1i*branch - ln(ln(z)+2*pi()*1i*branch);
+  }
+  else if(branch == -1){##print "-1";
+    if(!im(z) && abs(z-branchpoint) == 0) return -1;
+    if(!im(z) && z>branchpoint && z < 0){##print "0";
+      ret = __CZ__lambertw_m1(z,eps);}
+    if(im(z)>=0 && abs(z-branchpoint) <= bparea){##print "1";
+      ret = __CZ__lambertw_app(z,eps);}
+    ret =ln(z) + 2*pi()*1i*branch - ln(ln(z)+2*pi()*1i*branch);
+  }
+  else
+    ret = ln(z) + 2*pi()*1i*branch - ln(ln(z)+2*pi()*1i*branch);
+
+  /*
+     Such a high precision is only needed _very_ close to the branchpoint
+     and might even be insufficient if z has not been computed with
+     sufficient precision itself (M below was calculated by Mathematica and also
+     with the series above with epsilon(1e-200)):
+    ; epsilon(1e-50)
+	0.00000000000000000001
+    ; display(50)
+	20
+    ; M=-0.9999999999999999999999997668356018402875796636464119050387
+    ; lambertw(-exp(-1)+1e-50,0)-M
+	-0.00000000000000000000000002678416515423276355643684
+    ; epsilon(1e-60)
+	0.0000000000000000000000000000000000000000000000000
+    ; A=-exp(-1)+1e-50
+    ; epsilon(1e-50)
+	0.00000000000000000000000000000000000000000000000000
+    ; lambertw(A,0)-M
+	-0.00000000000000000000000000000000000231185460220585
+    ; lambertw_series(A,epsilon(),0)-M
+	-0.00000000000000000000000000000000000132145133161626
+    ; epsilon(1e-100)
+	0.00000000000000000000000000000000000000000000000001
+    ; A=-exp(-1)+1e-50
+    ; epsilon(1e-65)
+	0.00000000000000000000000000000000000000000000000000
+    ; lambertw_series(A,epsilon(),0)-M
+	0.00000000000000000000000000000000000000000000000000
+    ; lambertw_series(-exp(-1)+1e-50,epsilon(),0)-M
+	-0.00000000000000000000000000000000000000002959444084
+    ; epsilon(1e-74)
+	0.00000000000000000000000000000000000000000000000000
+    ; lambertw_series(-exp(-1)+1e-50,epsilon(),0)-M
+	-0.00000000000000000000000000000000000000000000000006
+   */
+  closeness = abs(z-branchpoint);
+  if( closeness< 1){
+    if(closeness != 0)
+      eps = epsilon(epsilon()*( closeness));
+    else
+      eps = epsilon(epsilon()^2);
+  }
+  else
+    eps = epsilon(epsilon()*1e-2);
+
+
+  epslarge =epsilon();
+
+  places = highbit(1 + int(1/epslarge)) + 1;
+  w = ret;
+  for(k=0;k<100;k++){
+    ew = exp(w);
+    we = w*ew;
+    if(abs(we-z)<= 4*epslarge*abs(z))break;
+    w1e = (1+w)*ew;
+    wn = bround(w- ((we - z) / ( w1e - ( (w+2)*(we-z) )/(2*w+2)  ) ),places++) ;
+    if( abs(wn - w) <= epslarge*abs(wn)) break;
+    else  w = wn;
+  }
+
+  if(k==100){
+    epsilon(eps);
+    return newerror("lambertw: Halley iteration does not converge");
+  }
+  /* The Maxima coders added a check if the iteration converged to the correct
+     branch. This coder deems it superfluous. */
+
+  epsilon(eps);
+  return wn;
+}
+
+
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "lambertw(z,branch)";
+    print "lambertw_series(z,eps,branch,terms)";
+    print "lambertw_series_print()";
+}

cal/linear.cal

@@ -1,9 +1,35 @@
+/*
+ * linear - perform a simple two point 2D linear interpolation
+ *
+ * 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
+ * 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:	2005/12/12 06:41:50
+ * File existed as early as:	2005
+ *
+ * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
 /*
  * linear - perform a simple two point 2D linear interpolation
  *
  * given:
  *	x0, y0		first known point on the line
- *	x1, y1		second knonw point on the line
+ *	x1, y1		second known point on the line
  *	x		a given point to interpolate on
  *
  * returns:

cal/lnseries.cal

@@ -0,0 +1,108 @@
+/*
+ * lnseries - special functions (e.g.: gamma, zeta, psi)
+ *
+ * Copyright (C) 2013 Christoph Zurnieden
+ *
+ * Calc is open software; you can redistribute it and/or modify it under
+ * the terms of the version 2.1 of the GNU Lesser General Public License
+ * as published by the Free Software Foundation.
+ *
+ * Calc is distributed in the hope that it will be useful, but WITHOUT
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General
+ * Public License for more details.
+ *
+ * A copy of version 2.1 of the GNU Lesser General Public License is
+ * distributed with calc under the filename COPYING-LGPL.  You should have
+ * received a copy with calc; if not, write to Free Software Foundation, Inc.
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+ *
+ * Under source code control:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+/*
+ * hide internal function from resource debugging
+ */
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+static __CZ__int_logs;
+static __CZ__int_logs_limit;
+static __CZ__int_logs_prec;
+
+
+define deletelnseries(){
+  free(__CZ__int_logs,__CZ__int_logs_limit,__CZ__int_logs_prec);
+}
+
+define lnfromseries(n){
+  if(    isnull(__CZ__int_logs)
+      || __CZ__int_logs_limit < n
+      || __CZ__int_logs_prec < log(1/epsilon())){
+
+    lnseries(n+1);
+  }
+  return __CZ__int_logs[n,0];
+}
+
+define lnseries(limit){
+  local k j eps ;
+  if(    isnull(__CZ__int_logs)
+      || __CZ__int_logs_limit < limit
+      || __CZ__int_logs_prec < log(1/epsilon())){
+    __CZ__int_logs = mat[limit+1,2];
+    __CZ__int_logs_limit = limit;
+    __CZ__int_logs_prec = log(1/epsilon());
+
+    /* probably still too much */
+    eps = epsilon(epsilon()*10^(-(5+log(limit))));
+    k =2;
+    while(1){
+      /* the prime itself, compute logarithm */
+      __CZ__int_logs[k,0] = ln(k);
+      __CZ__int_logs[k,1] = k;
+
+      for(j = 2*k;j<=limit;j+=k){
+       /* multiples of prime k, add logarithm of k computed earlier */
+       __CZ__int_logs[j,0] += __CZ__int_logs[k,0];
+       /* First hit, set counter to number */
+       if(__CZ__int_logs[j,1] ==0)
+         __CZ__int_logs[j,1]=j;
+       /* reduce counter by prime added */
+       __CZ__int_logs[j,1] //= __CZ__int_logs[k,1];
+      }
+
+      k++;
+      if(k>=limit) break;
+      /* Erastothenes-sieve: look for next prime. */
+      while(__CZ__int_logs[k,0]!=0){
+        k++;
+        if(k>=limit) break;
+      }
+    }
+    /* Second run to include the last factor */
+    for(k=1;k<=limit;k++){
+      if(__CZ__int_logs[k,1] != k){
+        __CZ__int_logs[k,0] +=__CZ__int_logs[ __CZ__int_logs[k,1],0];
+        __CZ__int_logs[k,1] = 0;
+      }
+    }
+
+    epsilon(eps);
+  }
+  return 1;
+}
+
+
+/*
+ * restore internal function from resource debugging
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "lnseries(limit)";
+    print "lnfromseries(n)";
+    print "deletelnseries()";
+}

cal/lucas_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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.3 $
- * @(#) $Id: lucas_chk.cal,v 29.3 2001/03/31 13:31:34 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/lucas_chk.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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/lucas_tbl.cal

@@ -1,165 +0,0 @@
-/*
- * lucas_tbl - lucasian criteria for primality tables
- *
- * Copyright (C) 1999  Landon Curt Noll
- *
- * Calc is open software; you can redistribute it and/or modify it under
- * the terms of the version 2.1 of the GNU Lesser General Public License
- * as published by the Free Software Foundation.
- *
- * Calc is distributed in the hope that it will be useful, but WITHOUT
- * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
- * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
- * Public License for more details.
- *
- * A copy of version 2.1 of the GNU Lesser General Public License is
- * distributed with calc under the filename COPYING-LGPL.  You should have
- * received a copy with calc; if not, write to Free Software Foundation, Inc.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: lucas_tbl.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/lucas_tbl.cal,v $
- *
- * Under source code control:	1991/01/26 02:43:43
- * File existed as early as:	1991
- *
- * chongo <was here> /\oo/\	http://www.isthe.com/chongo/
- * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
- */
-
-/*
- * Lucasian criteria for primality
- *
- * The following table is taken from:
- *
- *	"Lucasian Criteria for the Primality of N=h*2^n-1", by Hans Riesel,
- *	Mathematics of Computation, Vol 23 #108, p 872.
- *
- * The index of the *_val[] arrays correspond to the v(1) values found
- * in the table.  That is, for v(1) == x:
- *
- *	D == d_val[x]
- *	a == a_val[x]
- *	b == b_val[x]
- *	r == r_val[x]		(r == abs(a^2 - b^2*D))
- *
- *
- * Note that when *_val[i] is not a number, the related v(1) value
- * is not found in Table 1.
- */
-
-
-trymax = 100;
-mat d_val[trymax+1];
-mat a_val[trymax+1];
-mat b_val[trymax+1];
-mat r_val[trymax+1];
-/* v1= 0	    INVALID */
-/* v1= 1	    INVALID */
-/* v1= 2	    INVALID */
-d_val[ 3]=   5;	 a_val[ 3]= 1;	b_val[ 3]=1;  r_val[ 3]=4;
-d_val[ 4]=   3;	 a_val[ 4]= 1;	b_val[ 4]=1;  r_val[ 4]=2;
-d_val[ 5]=  21;	 a_val[ 5]= 3;	b_val[ 5]=1;  r_val[ 5]=12;
-d_val[ 6]=   2;	 a_val[ 6]= 1;	b_val[ 6]=1;  r_val[ 6]=1;
-/* v1= 7	    INVALID */
-d_val[ 8]=  15;	 a_val[ 8]= 3;	b_val[ 8]=1;  r_val[ 8]=6;
-d_val[ 9]=  77;	 a_val[ 9]= 7;	b_val[ 9]=1;  r_val[ 9]=28;
-d_val[10]=   6;	 a_val[10]= 2;	b_val[10]=1;  r_val[10]=2;
-d_val[11]=  13;	 a_val[11]= 3;	b_val[11]=1;  r_val[11]=4;
-d_val[12]=  35;	 a_val[12]= 5;	b_val[12]=1;  r_val[12]=10;
-d_val[13]= 165;	 a_val[13]=11;	b_val[13]=1;  r_val[13]=44;
-/* v1=14	    INVALID */
-d_val[15]= 221;	 a_val[15]=13;	b_val[15]=1;  r_val[15]=52;
-d_val[16]=   7;	 a_val[16]= 3;	b_val[16]=1;  r_val[16]=2;
-d_val[17]= 285;	 a_val[17]=15;	b_val[17]=1;  r_val[17]=60;
-/* v1=18	    INVALID */
-d_val[19]= 357;	 a_val[19]=17;	b_val[19]=1;  r_val[19]=68;
-d_val[20]=  11;	 a_val[20]= 3;	b_val[20]=1;  r_val[20]=2;
-d_val[21]= 437;	 a_val[21]=19;	b_val[21]=1;  r_val[21]=76;
-d_val[22]=  30;	 a_val[22]= 5;	b_val[22]=1;  r_val[22]=5;
-/* v1=23	    INVALID */
-d_val[24]= 143;	 a_val[24]=11;	b_val[24]=1;  r_val[24]=22;
-d_val[25]=  69;	 a_val[25]= 9;	b_val[25]=1;  r_val[25]=12;
-d_val[26]=  42;	 a_val[26]= 6;	b_val[26]=1;  r_val[26]=6;
-d_val[27]=  29;	 a_val[27]= 5;	b_val[27]=1;  r_val[27]=4;
-d_val[28]= 195;	 a_val[28]=13;	b_val[28]=1;  r_val[28]=26;
-d_val[29]=  93;	 a_val[29]= 9;	b_val[29]=1;  r_val[29]=12;
-d_val[30]=  14;	 a_val[30]= 4;	b_val[30]=1;  r_val[30]=2;
-d_val[31]= 957;	 a_val[31]=29;	b_val[31]=1;  r_val[31]=116;
-d_val[32]= 255;	 a_val[32]=15;	b_val[32]=1;  r_val[32]=30;
-d_val[33]=1085;	 a_val[33]=31;	b_val[33]=1;  r_val[33]=124;
-/* v1=34	    INVALID */
-d_val[35]=1221;	 a_val[35]=33;	b_val[35]=1;  r_val[35]=132;
-d_val[36]= 323;	 a_val[36]=17;	b_val[36]=1;  r_val[36]=34;
-d_val[37]=1365;	 a_val[37]=35;	b_val[37]=1;  r_val[37]=140;
-d_val[38]=  10;	 a_val[38]= 3;	b_val[38]=1;  r_val[38]=1;
-d_val[39]=1517;	 a_val[39]=37;	b_val[39]=1;  r_val[39]=148;
-d_val[40]= 399;	 a_val[40]=19;	b_val[40]=1;  r_val[40]=38;
-d_val[41]=1677;	 a_val[41]=39;	b_val[41]=1;  r_val[41]=156;
-d_val[42]= 110;	 a_val[42]=10;	b_val[42]=1;  r_val[42]=10;
-d_val[43]= 205;	 a_val[43]=15;	b_val[43]=1;  r_val[43]=20;
-d_val[44]= 483;	 a_val[44]=21;	b_val[44]=1;  r_val[44]=42;
-d_val[45]=2021;	 a_val[45]=43;	b_val[45]=1;  r_val[45]=172;
-d_val[46]=  33;	 a_val[46]= 6;	b_val[46]=1;  r_val[46]=3;
-/* v1=47	    INVALID */
-d_val[48]=  23;	 a_val[48]= 5;	b_val[48]=1;  r_val[48]=2;
-d_val[49]=2397;	 a_val[49]=47;	b_val[49]=1;  r_val[49]=188;
-d_val[50]=  39;	 a_val[50]= 6;	b_val[50]=1;  r_val[50]=3;
-d_val[51]=  53;	 a_val[51]= 7;	b_val[51]=1;  r_val[51]=4;
-/* v1=52	    INVALID */
-d_val[53]=2805;	 a_val[53]=51;	b_val[53]=1;  r_val[53]=204;
-d_val[54]= 182;	 a_val[54]=13;	b_val[54]=1;  r_val[54]=13;
-d_val[55]=3021;	 a_val[55]=53;	b_val[55]=1;  r_val[55]=212;
-d_val[56]=  87;	 a_val[56]= 9;	b_val[56]=1;  r_val[56]=6;
-d_val[57]=3245;	 a_val[57]=55;	b_val[57]=1;  r_val[57]=220;
-d_val[58]= 210;	 a_val[58]=14;	b_val[58]=1;  r_val[58]=14;
-d_val[59]=3477;	 a_val[59]=57;	b_val[59]=1;  r_val[59]=228;
-d_val[60]= 899;	 a_val[60]=29;	b_val[60]=1;  r_val[60]=58;
-d_val[61]= 413;	 a_val[61]=21;	b_val[61]=1;  r_val[61]=28;
-/* v1=62	    INVALID */
-d_val[63]=3965;	 a_val[63]=61;	b_val[63]=1;  r_val[63]=244;
-d_val[64]=1023;	 a_val[64]=31;	b_val[64]=1;  r_val[64]=62;
-d_val[65]= 469;	 a_val[65]=21;	b_val[65]=1;  r_val[65]=28;
-d_val[66]=  17;	 a_val[66]= 4;	b_val[66]=1;  r_val[66]=1;
-d_val[67]=4485;	 a_val[67]=65;	b_val[67]=1;  r_val[67]=260;
-d_val[68]=1155;	 a_val[68]=33;	b_val[68]=1;  r_val[68]=66;
-d_val[69]=4757;	 a_val[69]=67;	b_val[69]=1;  r_val[69]=268;
-d_val[70]=  34;	 a_val[70]= 6;	b_val[70]=1;  r_val[70]=2;
-d_val[71]=5037;	 a_val[71]=69;	b_val[71]=1;  r_val[71]=276;
-d_val[72]=1295;	 a_val[72]=35;	b_val[72]=1;  r_val[72]=70;
-d_val[73]= 213;	 a_val[73]=15;	b_val[73]=1;  r_val[73]=12;
-d_val[74]=  38;	 a_val[74]= 6;	b_val[74]=1;  r_val[74]=2;
-d_val[75]=5621;	 a_val[75]=73;	b_val[75]=1;  r_val[75]=292;
-d_val[76]=1443;	 a_val[76]=37;	b_val[76]=1;  r_val[76]=74;
-d_val[77]= 237;	 a_val[77]=15;	b_val[77]=1;  r_val[77]=12;
-d_val[78]=  95;	 a_val[78]=10;	b_val[78]=1;  r_val[78]=5;
-/* v1=79	    INVALID */
-d_val[80]=1599;	 a_val[80]=39;	b_val[80]=1;  r_val[80]=78;
-d_val[81]=6557;	 a_val[81]=79;	b_val[81]=1;  r_val[81]=316;
-d_val[82]= 105;	 a_val[82]=10;	b_val[82]=1;  r_val[82]=5;
-d_val[83]=  85;	 a_val[83]= 9;	b_val[83]=1;  r_val[83]=4;
-d_val[84]=1763;	 a_val[84]=41;	b_val[84]=1;  r_val[84]=82;
-d_val[85]=7221;	 a_val[85]=83;	b_val[85]=1;  r_val[85]=332;
-d_val[86]= 462;	 a_val[86]=21;	b_val[86]=1;  r_val[86]=21;
-d_val[87]=7565;	 a_val[87]=85;	b_val[87]=1;  r_val[87]=340;
-d_val[88]= 215;	 a_val[88]=15;	b_val[88]=1;  r_val[88]=10;
-d_val[89]=7917;	 a_val[89]=87;	b_val[89]=1;  r_val[89]=348;
-d_val[90]= 506;	 a_val[90]=22;	b_val[90]=1;  r_val[90]=22;
-d_val[91]=8277;	 a_val[91]=89;	b_val[91]=1;  r_val[91]=356;
-d_val[92]= 235;	 a_val[92]=15;	b_val[92]=1;  r_val[92]=10;
-d_val[93]=8645;	 a_val[93]=91;	b_val[93]=1;  r_val[93]=364;
-d_val[94]= 138;	 a_val[94]=12;	b_val[94]=1;  r_val[94]=6;
-d_val[95]=9021;	 a_val[95]=93;	b_val[95]=1;  r_val[95]=372;
-d_val[96]=  47;	 a_val[96]= 7;	b_val[96]=1;  r_val[96]=2;
-d_val[97]=1045;	 a_val[97]=33;	b_val[97]=1;  r_val[97]=44;
-/* v1=98	    INVALID */
-d_val[99]=9797;	 a_val[99]=97;	b_val[99]=1;  r_val[99]=388;
-d_val[100]=  51; a_val[100]= 7; b_val[100]=1; r_val[100]=2;
-
-if (config("resource_debug") & 3) {
-    print "d_val[100] defined";
-    print "a_val[100] defined";
-    print "b_val[100] defined";
-    print "r_val[100] defined";
-}

cal/mersenne.cal

@@ -17,11 +17,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: mersenne.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/mersenne.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: mfactor.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/mfactor.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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.
  *
@@ -260,8 +256,8 @@ define mfactor(n, start_k, rept_loop, p_elim)
 		return q;
 	} else {
 		/* report this loop */
-		printf("at 2*%d*%d+1, cpu: %f\n",
-			(q-1)/(2*n), n, runtime());
+		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",
-				(q-1)/(2*n), n, runtime());
+			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

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: mod.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/mod.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.3 $
- * @(#) $Id: natnumset.cal,v 29.3 2006/05/01 19:19:46 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/natnumset.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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/palindrome.cal

@@ -0,0 +1,641 @@
+/*
+ * palindrome - palindrome utilities
+ *
+ * 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:	2021/11/06 14:35:37
+ * File existed as early as:	2021
+ *
+ * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
+ */
+
+
+/*
+ * digitof - return the a digit of a value
+ *
+ * NOTE: We assume base 10 digits and place 1 is the units digit.
+ *
+ * given:
+ *	val	value to find a digit of
+ *	place	digit place
+ *
+ * returns:
+ * 	value (>= 0 and < 10) that is the place-th digit of val
+ *	or 0 if place is not a digit of val
+ */
+define digitof(val, place)
+{
+    local d;	/* length of val in digits */
+
+    /* determine length */
+    d = digits(val);
+
+    /* firewall - return 0 if digit place doesn't exist */
+    if (place < 1 || place > d) {
+	return 0;
+    }
+
+    /* return the place-th digit of val as a single digit */
+    return  (val // (10^(place-1))) % 10;
+}
+
+
+/*
+ * copalplace - determine the other place in a palindrome
+ *
+ * NOTE: We assume base 10 digits and place 1 is the units digit.
+ *
+ * given:
+ *	d	digits of a value
+ *	place	digit place
+ *
+ * returns:
+ *	given palindrome val, the other digit paired with place
+ *	or 0 if place is not a digit of val
+ */
+define copalplace(d, place)
+{
+    /* firewall - return 0 if digit place doesn't exist */
+    if (d < 1 || place < 1 || place > d) {
+	return 0;
+    }
+
+    /* return digit coplace */
+    return d+1 - place;
+}
+
+
+/*
+ * upperhalf - return the upper half of a palindrome
+ *
+ * NOTE: We assume base 10 digits and place 1 is the units digit.
+ *
+ * NOTE: When the value has an odd number of digits, the upper half
+ *	 includes the middle digit.
+ *
+ * given:
+ *	val	a value
+ *
+ * returns:
+ * 	the upper half digits of a value
+ */
+define upperhalf(val)
+{
+    local d;		/* length of val in digits */
+    local halfd;	/* length of upper hand of val */
+
+    /* determine length */
+    d = digits(val);
+    halfd = d // 2;
+
+    /* return upper half */
+    return (val // 10^halfd);
+}
+
+
+/*
+ * mkpal - make a value into a palindrome
+ *
+ * NOTE: We assume base 10 digits and place 1 is the units digit.
+ *
+ * given:
+ *	val	a value
+ *
+ * returns:
+ * 	val as a palindrome with lower half being reverse digits of val
+ */
+define mkpal(val)
+{
+    local d;	/* length of val in digits */
+    local i;	/* counter */
+    local ret;	/* palindrome being formed */
+
+    /* determine length */
+    d = digits(val);
+
+    /* insert digits in reverse order at the bottom */
+    ret = val;
+    for (i=0; i < d; ++i) {
+	ret = ret*10 + digit(val, i);
+    }
+    return ret;
+}
+
+
+/*
+ * mkpalmiddigit - make a value into a palindrome with a middle digit
+ *
+ * NOTE: We assume base 10 digits and place 1 is the units digit.
+ *
+ * given:
+ *	val	a value
+ *	digit	the digit to put into the middle of the palindrome
+ *
+ * returns:
+ * 	val as a palindrome with lower half being reverse digits of val
+ *		and digit as a middle digit
+ */
+define mkpalmiddigit(val, digit)
+{
+    local d;	/* length of val in digits */
+    local i;	/* counter */
+    local ret;	/* palindrome being formed */
+
+    /* determine length */
+    d = digits(val);
+
+    /* insert digits in reverse order at the bottom */
+    ret = val*10 + digit;
+    for (i=0; i < d; ++i) {
+	ret = ret*10 + digit(val, i);
+    }
+    return ret;
+}
+
+
+/*
+ * ispal - determine if a value is a palindrome
+ *
+ * NOTE: We assume base 10 digits and place 1 is the units digit.
+ *
+ * given:
+ *	val	a value
+ *
+ * returns:
+ * 	1 ==> val is a palindrome
+ * 	0 ==> val is NOT a palindrome
+ */
+define ispal(val)
+{
+    local half;		/* upper half of digits of val */
+    local digit;	/* middle digit */
+
+    /* case: val has an even number of digits */
+    if (iseven(digits(val))) {
+
+	/* test palindrome-ness */
+	return (val == mkpal(upperhalf(val)));
+
+    /* case: val can an odd number of digits */
+    } else {
+
+	/* test palindrome-ness */
+	half = upperhalf(val);
+	digit = half % 10;
+	half //= 10;
+	return (val == mkpalmiddigit(half, digit));
+    }
+}
+
+
+/*
+ * palnextpal - return next palindrome from a known palindrome
+ *
+ * NOTE: We assume base 10 digits and place 1 is the units digit.
+ *
+ * given:
+ *	pal	a palindrome
+ *
+ * returns:
+ *	next palindrome > pal
+ */
+define palnextpal(pal)
+{
+    local paldigits;	/* digits in pal */
+    local half;		/* upper half of newval */
+    local newhalf;	/* half+1 */
+    local newpal;	/* new palindrome */
+
+    /* case: negative palindrome */
+    if (pal < 0) {
+	return -(palprevpal(-pal));
+    }
+
+    /*
+     * start with upper half
+     */
+    half = upperhalf(pal);
+
+    /*
+     * prep to find a larger palindrome
+     */
+    newhalf = half+1;
+
+    /*
+     * form palindrome from new upper half
+     *
+     * We need to watch for the corner case where changing the
+     * half changes the number of digits as this will impact
+     * or even/odd number of digits processing.
+     */
+    paldigits = digits(pal);
+    if (digits(newhalf) == digits(half)) {
+	/* no change in half digits: process as normal */
+	if (iseven(paldigits)) {
+	    newpal = mkpal(newhalf);
+	} else {
+	    newpal = mkpalmiddigit(newhalf // 10, newhalf % 10);
+	}
+    } else {
+	/* change in half digits: process as opposite */
+	if (iseven(paldigits)) {
+	    newpal = mkpalmiddigit(newhalf // 10, newhalf % 10);
+	} else {
+	    newpal = mkpal(newhalf);
+	}
+    }
+
+    /*
+     * return the new palindrome
+     */
+    return newpal;
+}
+
+
+/*
+ * nextpal - return next palindrome from a value
+ *
+ * NOTE: We assume base 10 digits and place 1 is the units digit.
+ *
+ * given:
+ *	val	a value
+ *
+ * returns:
+ *	next palindrome > val
+ */
+define nextpal(val)
+{
+    local newval;	/* val+1 */
+    local newvaldigits;	/* digits in newval */
+    local half;		/* upper half of newval */
+    local pal;		/* palindrome test value */
+    local newpal;	/* new palindrome */
+
+    /* case: negative value */
+    if (val < 0) {
+	return -(prevpal(-val));
+    }
+
+    /*
+     * start looking from a larger value
+     */
+    newval = val+1;
+    newvaldigits = digits(newval);
+
+    /* case: single digit palindrome */
+    if (newvaldigits < 2) {
+	return newval;
+    }
+
+    /*
+     * start with next upper half
+     */
+    half = upperhalf(newval);
+
+    /*
+     * form palindrome from upper half
+     *
+     * We need to deal with even vs. odd digit counts
+     * when forming a palindrome from a half as the
+     * half may not or may include the middle digit.
+     */
+    if (iseven(newvaldigits)) {
+	pal = mkpal(half);
+    } else {
+	pal = mkpalmiddigit(half // 10, half % 10);
+    }
+
+    /*
+     * case: we found a larger palindrome, we are done
+     */
+    if (pal > val) {
+	return pal;
+    }
+
+    /*
+     * we need to find an even larger palindrome
+     */
+    newpal = palnextpal(pal);
+
+    /*
+     * return the new palindrome
+     */
+    return newpal;
+}
+
+
+/*
+ * palprevpal - return previous palindrome from a palindrome
+ *
+ * NOTE: We assume base 10 digits and place 1 is the units digit.
+ *
+ * given:
+ *	pal	a palindrome
+ *
+ * returns:
+ *	previous palindrome < pal
+ */
+define palprevpal(pal)
+{
+    local paldigits;	/* digits in pal */
+    local half;		/* upper half of newval */
+    local newhalf;	/* half+1 */
+    local newpal;	/* new palindrome */
+
+    /* case: negative value */
+    if (pal < 0) {
+	return -(palnextpal(-pal));
+    }
+
+    /* case: single digit palindrome */
+    if (pal < 10) {
+	newpal = pal-1;
+	return newpal;
+    }
+
+    /* case: 10 or 11 */
+    if (pal < 12) {
+	newpal = 9;
+	return newpal;
+    }
+
+    /*
+     * start with upper half
+     */
+    half = upperhalf(pal);
+
+    /*
+     * prep to find a smaller palindrome
+     */
+    newhalf = half-1;
+
+    /*
+     * form palindrome from new upper half
+     *
+     * We need to watch for the corner case where changing the
+     * half changes the number of digits as this will impact
+     * or even/odd number of digits processing.
+     */
+    paldigits = digits(pal);
+    if (digits(newhalf) == digits(half)) {
+	/* no change in half digits: process as normal */
+	if (iseven(paldigits)) {
+	    newpal = mkpal(newhalf);
+	} else {
+	    newpal = mkpalmiddigit(newhalf // 10, newhalf % 10);
+	}
+    } else {
+	/* change in half digits: process as opposite */
+	if (iseven(paldigits)) {
+	    newpal = mkpalmiddigit(newhalf // 10, newhalf % 10);
+	} else {
+	    newpal = mkpal(newhalf);
+	}
+    }
+
+    /*
+     * return the new palindrome
+     */
+    return newpal;
+}
+
+
+/*
+ * prevpal - return previous palindrome from a value
+ *
+ * NOTE: We assume base 10 digits and place 1 is the units digit.
+ *
+ * given:
+ *	val	a value
+ *
+ * returns:
+ *	previous palindrome < val
+ */
+define prevpal(val)
+{
+    local newval;	/* val-1 */
+    local newvaldigits;	/* digits in newval */
+    local half;		/* upper half of newval */
+    local pal;		/* palindrome test value */
+    local newpal;	/* new palindrome */
+
+    /* case: negative value */
+    if (val < 0) {
+	return -(nextpal(-val));
+    }
+
+    /*
+     * start looking from a smaller value
+     */
+    newval = val-1;
+    newvaldigits = digits(newval);
+
+    /* case: single digit palindrome */
+    if (newvaldigits < 2) {
+	return newval;
+    }
+
+    /*
+     * start with previous upper half
+     */
+    half = upperhalf(newval);
+
+    /*
+     * form palindrome from upper half
+     *
+     * We need to deal with even vs. odd digit counts
+     * when forming a palindrome from a half as the
+     * half may not or may include the middle digit.
+     */
+    if (iseven(newvaldigits)) {
+	pal = mkpal(half);
+    } else {
+	pal = mkpalmiddigit(half // 10, half % 10);
+    }
+
+    /*
+     * case: we found a smaller palindrome, we are done
+     */
+    if (pal < val) {
+	return pal;
+    }
+
+    /*
+     * we need to find an even smaller palindrome
+     */
+    newpal = palprevpal(pal);
+
+    /*
+     * return the new palindrome
+     */
+    return newpal;
+}
+
+
+/*
+ * nextprimepal - return next palindrome that is a (highly probable) prime
+ *
+ * NOTE: We assume base 10 digits and place 1 is the units digit.
+ *
+ * given:
+ *	val	a value
+ *
+ * returns:
+ *	next palindrome (highly probable) prime > val
+ */
+define nextprimepal(val)
+{
+    local pal;		/* palindrome test value */
+    local dpal;		/* digits in pal */
+
+    /*
+     * pre-start under the next palindrome
+     */
+    pal = nextpal(val-1);
+
+    /*
+     * loop until we find a (highly probable) prime or 0
+     */
+    do {
+
+	/* case: negative values and tiny values */
+	if (pal < 2) {
+	    return 2;
+	}
+
+	/*
+	 * compute the next palindrome
+	 */
+	pal = palnextpal(pal);
+	dpal = digits(pal);
+
+	/* case: 11 is the only prime palindrome with even digit count */
+	if (pal == 11) {
+	    return 11;
+	}
+
+	/* case: even number of digits and not 11 */
+	if (iseven(dpal)) {
+
+	    /*
+	     * Except for 11 (which is handled above already), there are
+	     * no prime palindrome with even digits.  So we need to
+	     * increase the digit count and work with that larger palindrome.
+	     */
+	    pal = nextpal(10^dpal);
+	}
+
+	/* case: palindrome is even or ends in 5 */
+	if (iseven(pal % 10) || (pal%10 == 10/2)) {
+
+	    /*
+	     * we need to increase the bottom and top digits
+	     * so that we have a chance to be prime
+	     */
+	    pal += (1 + 10^(dpal-1));
+	}
+	if (config("resource_debug") & 0x8) {
+	    print "DEBUG: nextprimepal:", pal;
+	}
+    } while (ptest(pal) == 0 && pal > 0);
+
+    /* return palindrome that his (highly probable) prime or 0 */
+    return pal;
+}
+
+
+/*
+ * prevprimepal - return prev palindrome that is a (highly probable) prime
+ *
+ * NOTE: We assume base 10 digits and place 1 is the units digit.
+ *
+ * given:
+ *	val	a value
+ *
+ * returns:
+ *	prev palindrome (highly probable) prime < val or 0
+ */
+define prevprimepal(val)
+{
+    local pal;		/* palindrome test value */
+    local dpal;		/* digits in pal */
+
+    /*
+     * pre-start over the previous palindrome
+     */
+    pal = prevpal(val+1);
+
+    /*
+     * loop until we find a (highly probable) prime or 0
+     */
+    do {
+
+	/*
+	 * case: single digit values are always palindromes
+	 */
+	if (val < 10) {
+	    /*
+	     * The prevcand() call will return 0 if there is no previous prime
+	     * such as the case when val < 2.
+	     */
+	    return prevcand(pal);
+	}
+
+	/*
+	 * compute the previous palindrome
+	 */
+	pal = palprevpal(pal);
+	dpal = digits(pal);
+
+	/* case: 11 is the only prime palindrome with even digit count */
+	if (pal == 11) {
+	    return 11;
+	}
+
+	/* case: 2 digit palindrome and not 11 */
+	if (dpal == 2) {
+	    return 7;
+	}
+
+	/* case: even number of digits */
+	if (iseven(dpal)) {
+
+	    /*
+	     * Except for 11 (which is handled above already), there are
+	     * no prime palindrome with even digits.  So we need to
+	     * decrease the digit count and work with that smaller palindrome.
+	     */
+	    pal = prevpal(10^(dpal-1));
+	}
+
+	/* case: palindrome is even or ends in 5 */
+	if (iseven(pal % 10) || (pal%10 == 10/2)) {
+
+	    /*
+	     * we need to decrease the bottom and top digits
+	     * so that we have a chance to be prime
+	     */
+	    pal -= (1 + 10^(dpal-1));
+	}
+	if (config("resource_debug") & 0x8) {
+	    print "DEBUG: prevprimepal:", pal;
+	}
+    } while (ptest(pal) == 0 && pal > 0);
+
+    /* return palindrome that his (highly probable) prime or 0 */
+    return pal;
+}

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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: pell.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/pell.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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

@@ -1,7 +1,7 @@
 /*
  * pi - various routines to calculate pi
  *
- * Copyright (C) 1999-2004  David I. Bell
+ * Copyright (C) 1999-2004,2021  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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.5 $
- * @(#) $Id: pi.cal,v 29.5 2004/02/23 14:04:01 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/pi.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1991/05/22 21:56:37
  * File existed as early as:	1991
@@ -78,7 +74,7 @@ define qpi(epsilon)
 /*
  * Print digits of PI forever, neatly formatted, using calc.
  *
- * Written by Klaus Alexander Seistrup <klaus@seistrup.dk>
+ * Written by Klaus Alexander Seistrup <klaus at seistrup dot dk>
  * on a dull Friday evening in November 1999.
  *
  * Inspired by an algorithm conceived by Lambert Meertens.

cal/pix.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: pix.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/pix.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1996/07/09 03:14:14
  * File existed as early as:	1996

cal/pollard.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: pollard.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/pollard.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: poly.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/poly.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.3 $
- * @(#) $Id: prompt.cal,v 29.3 2006/06/20 09:29:16 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/prompt.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: psqrt.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/psqrt.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1990/02/15 01:50:35
  * File existed as early as:	before 1990

cal/qtime.cal

@@ -1,9 +1,9 @@
 /*
  * qtime - Display time as English sentence
  *
- * Copyright (C) 1999  Klaus Alexander Seistrup and Landon Curt Noll
+ * Copyright (C) 1999,2021  Klaus Alexander Seistrup and Landon Curt Noll
  *
- * Written by: Klaus Alexander Seistrup <kseis@magnetic-ink.dk>
+ * Written by: Klaus Alexander Seistrup <kseis at magnetic-ink dot dk>
  * With mods by: Landon Curt Noll <http://www.isthe.com/chongo/>
  *
  * Calc is open software; you can redistribute it and/or modify it under
@@ -18,11 +18,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.4 $
- * @(#) $Id: qtime.cal,v 29.4 2000/12/18 10:18:40 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/qtime.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: quat.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/quat.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1990/02/15 01:50:35
  * File existed as early as:	before 1990
@@ -55,7 +51,8 @@ define quat(a,b,c,d)
 
 define quat_print(a)
 {
-	print "quat(" : a.s : ", " : a.v[0] : ", " : a.v[1] : ", " : a.v[2] : ")" :;
+	print "quat(" : a.s : ", " : a.v[0] : ", " :
+	      a.v[1] : ", " : a.v[2] : ")" :;
 }
 
 

cal/randbitrun.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: randbitrun.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/randbitrun.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: randmprime.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/randmprime.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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 start;	/* cpu time before last test */
-    local stop;		/* cpu time afte last test */
+    local init;		/* initial CPU time */
+    local start;	/* CPU time before 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 */
 
@@ -88,8 +84,8 @@ randmprime(bits, seed, dbg)
      * loop until we find a prime
      */
     if (dbg >= 1) {
-	start = runtime();
-	init = runtime();
+	start = usertime();
+	init = usertime();
 	plush = 0;
 	print "DEBUG1: testing (h+" : plush : ")*2^" : n : "-1";
     }
@@ -97,7 +93,7 @@ randmprime(bits, seed, dbg)
 
 	/* bump h, and n if needed */
 	if (dbg >= 2) {
-	    stop = runtime();
+	    stop = usertime();
 	    print "DEBUG2: last test:", stop-start, "	total time:", stop-init;
 	}
 	if (dbg >= 1) {
@@ -116,7 +112,7 @@ randmprime(bits, seed, dbg)
 
     /* found a prime */
     if (dbg >= 2) {
-	stop = runtime();
+	stop = usertime();
 	print "DEBUG2: last test:", stop-start, "   total time:", stop-init;
 	print "DEBUG3: " : h : "*2^" : n : "-1 is prime";
     }

cal/randombitrun.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: randombitrun.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/randombitrun.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1995/02/13 03:43:11
  * File existed as early as:	1995

cal/randomrun.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: randomrun.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/randomrun.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1997/02/19 03:35:59
  * File existed as early as:	1997

cal/randrun.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: randrun.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/randrun.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1995/02/12 20:00:06
  * File existed as early as:	1995

cal/repeat.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.4 $
- * @(#) $Id: repeat.cal,v 29.4 2003/01/26 19:42:03 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/repeat.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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: 29.2 $
- * @(#) $Id: screen.cal,v 29.2 2006/05/01 19:21:18 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/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

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.3 $
- * @(#) $Id: seedrandom.cal,v 29.3 2001/03/31 13:31:34 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/seedrandom.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1996/01/01 08:21:00
  * File existed as early as:	1996

cal/set8700.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: set8700.cal,v 29.2 2006/08/20 16:16:11 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/set8700.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	2006/05/20 14:10:11
  * File existed as early as:	2006

cal/set8700.line

@@ -1,7 +1,7 @@
 ##
 ## set8700 - dotest line tests for the 8700 set of regress.cal
 ##
-## Copyright (C) 2006  Ernest Bowen and Landon Curt Noll
+## Copyright (C) 2006,2021  Ernest Bowen and Landon Curt Noll
 ##
 ## Calc is open software; you can redistribute it and/or modify it under
 ## the terms of the version 2.1 of the GNU Lesser General Public License
@@ -15,11 +15,7 @@
 ## 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.
-## 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
-##
-## @(#) $Revision: 29.4 $
-## @(#) $Id: set8700.line,v 29.4 2006/08/20 16:16:11 chongo Exp $
-## @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/set8700.line,v $
+## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 ##
 ## Under source code control:	2006/05/20 14:10:11
 ## File existed as early as:	2006
@@ -163,7 +159,7 @@ set8700_A = 42, protect(set8700_A,1024), set8700_B = set8700_A, protect(set8700_
 set8700_A = 6 * 7, protect(set8700_A) == 1024
 set8700_A == set8700_B
 
-## Testing matrix protectioon
+## Testing matrix protection
 set8700_A = mat [3] = {1, 2, list(3,4)}; 1
 protect(set8700_A, 65, 1), protect(set8700_A) == 1089
 protect(set8700_A[0]) == 65
@@ -265,7 +261,7 @@ protect(set8700_L[0]) == 0
 protect(set8700_L[1]) == 512		## protect(set8700_A) copied
 protect(set8700_L[1][1]) == 1024	## protect(set8700_A[1]) copied
 
-## Testing list with "intialization"
+## Testing list with "initialization"
 set8700_L = list(1,2,3), protect(set8700_L) == 0
 protect(set8700_L[0]) | protect(set8700_L[1]) | protect(set8700_L[2]) == 0	## All zero
 set8700_L = {1,set8700_A}, set8700_L[1] == set8700_A

cal/smallfactors.cal

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

cal/solve.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: solve.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/solve.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1990/02/15 01:50:37
  * File existed as early as:	before 1990
@@ -47,12 +43,13 @@ define solve(low, high, epsilon)
 	if (abs(flow) < epsilon)
 		return low;
 	fhigh = f(high);
-	if (abs(flow) < epsilon)
+	if (abs(fhigh) < epsilon)
 		return high;
 	if (sgn(flow) == sgn(fhigh))
 		quit "Non-opposite signs";
 	while (1) {
-		mid = bround(high - fhigh * (high - low) / (fhigh - flow), places);
+		mid = bround(high - fhigh * (high - low) / (fhigh - flow),
+			     places);
 		if ((mid == low) || (mid == high))
 			places++;
 		fmid = f(mid);

cal/statistics.cal

@@ -0,0 +1,498 @@
+/*
+ * statistics - Some assorted statistics functions.
+ *
+ * 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
+ * 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:	2013/08/11 01:31:28
+ * File existed as early as:	2013
+ */
+
+
+static resource_debug_level;
+resource_debug_level = config("resource_debug", 0);
+
+
+/*
+ *  get dependencies
+ */
+read -once factorial2 brentsolve
+
+
+/*******************************************************************************
+ *
+ *
+ *                Continuous distributions
+ *
+ *
+ ******************************************************************************/
+
+/* regularized incomplete gamma function like in Octave, hence the name */
+define gammaincoctave(z,a){
+  local tmp;
+  tmp = gamma(z);
+  return (tmp-gammainc(a,z))/tmp;
+}
+
+/* Inverse incomplete beta function. Old and slow. */
+static __CZ__invbeta_a;
+static __CZ__invbeta_b;
+static __CZ__invbeta_x;
+define __CZ__invbeta(x){
+   return __CZ__invbeta_x-__CZ__ibetaas63(x,__CZ__invbeta_a,__CZ__invbeta_b);
+}
+
+define invbetainc_slow(x,a,b){
+  local flag ret eps;
+  /* place checks and balances here */
+  eps = epsilon();
+  if(.5 < x){
+    __CZ__invbeta_x = 1 - x;
+    __CZ__invbeta_a = b;
+    __CZ__invbeta_b = a;
+    flag = 1;
+  }
+  else{
+    __CZ__invbeta_x = x;
+    __CZ__invbeta_a = a;
+    __CZ__invbeta_b = b;
+    flag = 0;
+  }
+
+  ret =  brentsolve2(0,1,1);
+
+  if(flag == 1)
+    ret = 1-ret;
+  epsilon(eps);
+  return ret;
+}
+
+/* Inverse incomplete beta function. Still old but not as slow as the function
+   above. */
+/*
+  Purpose:
+
+    invbetainc computes inverse of the incomplete Beta function.
+
+  Licensing:
+
+    This code is distributed under the GNU LGPL license.
+
+  Modified:
+
+    10 August 2013
+
+  Author:
+
+    Original FORTRAN77 version by GW Cran, KJ Martin, GE Thomas.
+    C version by John Burkardt.
+    Calc version by Christoph Zurnieden
+
+  Reference:
+
+    GW Cran, KJ Martin, GE Thomas,
+    Remark AS R19 and Algorithm AS 109:
+    A Remark on Algorithms AS 63: The Incomplete Beta Integral
+    and AS 64: Inverse of the Incomplete Beta integral,
+    Applied Statistics,
+    Volume 26, Number 1, 1977, pages 111-114.
+
+  Parameters:
+
+    Input,  P, Q, the parameters of the incomplete
+    Beta function.
+
+    Input,  BETA, the logarithm of the value of
+    the complete Beta function.
+
+    Input,  ALPHA, the value of the incomplete Beta
+    function.  0 <= ALPHA <= 1.
+
+    Output,  the argument of the incomplete
+    Beta function which produces the value ALPHA.
+
+  Local Parameters:
+
+    Local, SAE, the most negative decimal exponent
+    which does not cause an underflow.
+*/
+define invbetainc(x,a,b){
+  return __CZ__invbetainc(a,b,lnbeta(a,b),x);
+}
+
+define __CZ__invbetainc(p,q,beta,alpha){
+  local a acu adj fpu g h iex indx pp prev qq r s sae sq t tx value;
+  local w xin y yprev places eps;
+
+  /* Dirty trick, don't try at home */
+  eps= epsilon(epsilon()^2);
+  sae = -((log(1/epsilon())/log(2))//2);
+  fpu = 10.0^sae;
+
+  places = highbit(1 + int(1/epsilon())) + 1;
+  value = alpha;
+  if( p <= 0.0 ){
+    epsilon(eps);
+    return newerror("invbeta: argument p <= 0");
+  }
+  if( q <= 0.0 ){
+    epsilon(eps);
+    return newerror("invbeta: argument q <= 0");
+  }
+
+  if( alpha < 0.0 || 1.0 < alpha ){
+    epsilon(eps);
+    return newerror("invbeta: argument alpha out of domain");
+  }
+  if( alpha == 0.0 ){
+    epsilon(eps);
+    return 0;
+  }
+  if( alpha == 1.0 ){
+    epsilon(eps);
+    return 1;
+  }
+  if ( 0.5 < alpha ){
+    a = 1.0 - alpha;
+    pp = q;
+    qq = p;
+    indx = 1;
+  }
+  else{
+    a = alpha;
+    pp = p;
+    qq = q;
+    indx = 0;
+  }
+  r = sqrt ( - ln ( a * a ) );
+
+  y = r-(2.30753+0.27061*r)/(1.0+(0.99229+0.04481*r)*r);
+
+  if ( 1.0 < pp && 1.0 < qq ){
+    r = ( y * y - 3.0 ) / 6.0;
+    s = 1.0 / ( pp + pp - 1.0 );
+    t = 1.0 / ( qq + qq - 1.0 );
+    h = 2.0 / ( s + t );
+    w = y*sqrt(h+r)/h-(t-s)*(r+5.0/6.0-2.0/(3.0*h));
+    value = pp / ( pp + qq * exp ( w + w ) );
+  }
+  else{
+    r = qq + qq;
+    t = 1.0 / ( 9.0 * qq );
+    t = r *  ( 1.0 - t + y * sqrt ( t )^ 3 );
+
+    if ( t <= 0.0 ){
+      value = 1.0 - exp ( ( ln ( ( 1.0 - a ) * qq ) + beta ) / qq );
+    }
+    else{
+      t = ( 4.0 * pp + r - 2.0 ) / t;
+
+      if ( t <= 1.0 ) {
+        value = exp ( ( ln ( a * pp ) + beta ) / pp );
+      }
+      else{
+        value = 1.0 - 2.0 / ( t + 1.0 );
+      }
+    }
+  }
+  r = 1.0 - pp;
+  t = 1.0 - qq;
+  yprev = 0.0;
+  sq = 1.0;
+  prev = 1.0;
+
+  if ( value < 0.0001 )
+    value = 0.0001;
+
+  if ( 0.9999 < value )
+    value = 0.9999;
+
+  acu = 10^sae;
+
+  for ( ; ; ){
+    y = bround(__CZ__ibetaas63( value, pp, qq, beta),places);
+    xin = value;
+    y = bround(exp(ln(y-a)+(beta+r*ln(xin)+t*ln(1.0- xin ) )),places);
+
+    if ( y * yprev <= 0.0 ) {
+      prev = max ( sq, fpu );
+    }
+
+    g = 1.0;
+
+    for ( ; ; ){
+      for ( ; ; ){
+        adj = g * y;
+        sq = adj * adj;
+        if ( sq < prev ){
+          tx = value - adj;
+          if ( 0.0 <= tx && tx <= 1.0 )  break;
+        }
+        g = g / 3.0;
+      }
+      if ( prev <= acu ){
+        if ( indx )
+          value = 1.0 - value;
+        epsilon(eps);
+        return value;
+      }
+      if ( y * y <= acu ){
+        if ( indx )
+          value = 1.0 - value;
+        epsilon(eps);
+        return value;
+      }
+      if ( tx != 0.0 && tx != 1.0 )
+        break;
+      g = g / 3.0;
+    }
+    if ( tx == value )  break;
+    value = tx;
+    yprev = y;
+  }
+  if ( indx )
+    value = 1.0 - value;
+
+  epsilon(eps);
+  return value;
+}
+
+/*******************************************************************************
+ *
+ *
+ *                Beta distribution
+ *
+ *
+ ******************************************************************************/
+
+define betapdf(x,a,b){
+  if(x<0 || x>1) return newerror("betapdf: parameter x out of domain");
+  if(a<=0) return newerror("betapdf: parameter a out of domain");
+  if(b<=0) return newerror("betapdf: parameter b out of domain");
+
+  return 1/beta(a,b) *x^(a-1)*(1-x)^(b-1);
+}
+
+define betacdf(x,a,b){
+  if(x<0 || x>1) return newerror("betacdf: parameter x out of domain");
+  if(a<=0) return newerror("betacdf: parameter a out of domain");
+  if(b<=0) return newerror("betacdf: parameter b out of domain");
+
+  return betainc(x,a,b);
+}
+
+define betacdfinv(x,a,b){
+  return invbetainc(x,a,b);
+}
+
+define betamedian(a,b){
+  local t106 t104 t103 t105 approx ret;
+  if(a == b) return 1/2;
+  if(a == 1 && b > 0) return 1-(1/2)^(1/b);
+  if(a > 0 && b == 1) return   (1/2)^(1/a);
+  if(a == 3 && b == 2){
+    /* Yes, the author is not ashamed to ask Maxima for the exact solution
+       of a quartic equation. */
+    t103 = ( (2^(3/2))/27 +4/27  )^(1/3);
+    t104 = sqrt( ( 9*t103^2 + 4*t103 + 2  )/(t103)  )/3;
+    t105 = -t103-2/(9*t103) +8/9;
+    t106 = sqrt( (27*t104*t105+16)/(t104)  )/(2*3^(3/2));
+    return -t106+t104/2+1/3;
+  }
+  if(a == 2 && b == 3){
+    t103 = ( (2^(3/2))/27 +4/27  )^(1/3);
+    t104 = sqrt( ( 9*t103^2 + 4*t103 + 2  )/(t103)  )/3;
+    t105 = -t103-2/(9*t103) +8/9;
+    t106 = sqrt( (27*t104*t105+16)/(t104)  )/(2*3^(3/2));
+    return 1-(-t106+t104/2+1/3);
+  }
+  return invbetainc(1/2,a,b);
+}
+
+define betamode(a,b){
+  if(a + b == 2) return newerror("betamod: a + b = 2 = division by zero");
+  return (a-1)/(a+b-2);
+}
+
+define betavariance(a,b){
+  return (a*b)/( (a+b)^2*(a+b+1) );
+}
+
+define betalnvariance(a,b){
+  return polygamma(1,a)-polygamma(a+b);
+}
+
+define betaskewness(a,b){
+  return (2*(b-a)*sqrt(a+b+1))/( (a+b+1)*sqrt(a*b) );
+}
+
+define betakurtosis(a,b){
+  local num denom;
+
+  num = 6*( (a-b)^2*(a+b+1)-a*b*(a+b+2));
+  denom = a*b*(a+b+2)*(a+b+3);
+  return num/denom;
+}
+
+define betaentropy(a,b){
+  return lnbeta(a,b)-(a-1)*psi(a)-(b-1)*psi(b)+(a+b+1)*psi(a+b);
+
+}
+
+/*******************************************************************************
+ *
+ *
+ *                Normal (Gaussian) distribution
+ *
+ *
+ ******************************************************************************/
+
+
+define normalpdf(x,mu,sigma){
+  return 1/(sqrt(2*pi()*sigma^2))*exp( ( (x-mu)^2 )/( 2*sigma^2 ) );
+}
+
+define normalcdf(x,mu,sigma){
+  return 1/2*(1+erf( ( x-mu )/( sqrt(2*sigma^2) )  )  );
+}
+
+define probit(p){
+  if(p<0 || p > 1) return newerror("probit: p out of domain 0<=p<=1");
+  return sqrt(2)*erfinv(2*p-1);
+}
+
+define normalcdfinv(p,mu,sigma){
+  if(p<0 || p > 1) return newerror("normalcdfinv: p out of domain 0<=p<=1");
+  return mu+ sigma*probit(p);
+}
+
+define normalmean(mu,sigma){return mu;}
+
+define normalmedian(mu,sigma){return mu;}
+
+define normalmode(mu,sigma){return mu;}
+
+define normalvariance(mu,sigma){return sigma^2;}
+
+define normalskewness(mu,sigma){return 0;}
+
+define normalkurtosis(mu,sigma){return 0;}
+
+define normalentropy(mu,sigma){
+  return 1/3*ln( 2*pi()*exp(1)*sigma^2 );
+}
+
+/* moment generating f. */
+define normalmgf(mu,sigma,t){
+  return exp(mu*t+1/2*sigma^2*t^2);
+}
+
+/* characteristic f. */
+define normalcf(mu,sigma,t){
+  return exp(mu*t-1/2*sigma^2*t^2);
+}
+
+
+/*******************************************************************************
+ *
+ *
+ *                Chi-squared distribution
+ *
+ *
+ ******************************************************************************/
+
+define chisquaredpdf(x,k){
+  if(!isint(k) || k<0) return newerror("chisquaredpdf: k not in N");
+  if(im(x) || x<0) return newerror("chisquaredpdf: x not in +R");
+  /* The gamma function does not check for half integers, do it here? */
+  return 1/(2^(k/2)*gamma(k/2))*x^((k/2)-1)*exp(-x/2);
+}
+
+define chisquaredpcdf(x,k){
+  if(!isint(k) || k<0) return newerror("chisquaredcdf: k not in N");
+  if(im(x) || x<0) return newerror("chisquaredcdf: x not in +R");
+
+  return 1/(gamma(k/2))*gammainc(k/2,x/2);
+}
+
+define chisquaredmean(x,k){return k;}
+
+define chisquaredmedian(x,k){
+  /* TODO: implement a FAST inverse incomplete gamma-{q,p} function */
+  return k*(1-2/(9*k))^3;
+}
+
+define chisquaredmode(x,k){return max(k-2,0);}
+define chisquaredvariance(x,k){return 2*k;}
+define chisquaredskewness(x,k){return sqrt(8/k);}
+define chisquaredkurtosis(x,k){return 12/k;}
+define chisquaredentropy(x,k){
+  return k/2+ln(2*gamma(k/2)) + (1-k/2)*psi(k/2);
+}
+
+define chisquaredmfg(k,t){
+  if(t>=1/2)return newerror("chisquaredmfg: t >= 1/2");
+  return (1-2*t)^(k/2);
+}
+
+define chisquaredcf(k,t){
+  return (1-2*1i*t)^(k/2);
+}
+
+
+/*
+ * restore internal function from resource debugging
+ */
+config("resource_debug", resource_debug_level),;
+if (config("resource_debug") & 3) {
+    print "gammaincoctave(z,a)";
+    print "invbetainc(x,a,b)";
+    print "betapdf(x,a,b)";
+    print "betacdf(x,a,b)";
+    print "betacdfinv(x,a,b)";
+    print "betamedian(a,b)";
+    print "betamode(a,b)";
+    print "betavariance(a,b)";
+    print "betalnvariance(a,b)";
+    print "betaskewness(a,b)";
+    print "betakurtosis(a,b)";
+    print "betaentropy(a,b)";
+    print "normalpdf(x,mu,sigma)";
+    print "normalcdf(x,mu,sigma)";
+    print "probit(p)";
+    print "normalcdfinv(p,mu,sigma)";
+    print "normalmean(mu,sigma)";
+    print "normalmedian(mu,sigma)";
+    print "normalmode(mu,sigma)";
+    print "normalvariance(mu,sigma)";
+    print "normalskewness(mu,sigma)";
+    print "normalkurtosis(mu,sigma)";
+    print "normalentropy(mu,sigma)";
+    print "normalmgf(mu,sigma,t)";
+    print "normalcf(mu,sigma,t)";
+    print "chisquaredpdf(x,k)";
+    print "chisquaredpcdf(x,k)";
+    print "chisquaredmean(x,k)";
+    print "chisquaredmedian(x,k)";
+    print "chisquaredmode(x,k)";
+    print "chisquaredvariance(x,k)";
+    print "chisquaredskewness(x,k)";
+    print "chisquaredkurtosis(x,k)";
+    print "chisquaredentropy(x,k)";
+    print "chisquaredmfg(k,t)";
+    print "chisquaredcf(k,t)";
+}
+

cal/strings.cal

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

cal/sumsq.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: sumsq.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/sumsq.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1990/02/15 01:50:37
  * File existed as early as:	before 1990

cal/sumtimes.cal

@@ -1,7 +1,7 @@
 /*
- * sumtimes - runtimes evaluating sums & squares of large lists and mats
+ * sumtimes - runtime evaluating sums & squares of large lists and mats
  *
- * Copyright (C) 2006  Ernest Bowen
+ * Copyright (C) 2006,2021  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
@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.1 $
- * @(#) $Id: sumtimes.cal,v 29.1 2006/06/23 00:35:30 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/sumtimes.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	2006/06/22 17:29
  * File existed as early as:	2006
@@ -40,13 +36,13 @@ define timematsum(N) {
     for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
 
     ptop = &sumtimes_A[n-1];
-    sumtimes_t0 = runtime();
+    sumtimes_t0 = usertime();
     for (s = n = 0; n < N; n++) s += sumtimes_A[n];
-    sumtimes_t1 = runtime();
+    sumtimes_t1 = usertime();
     for (s = 0, p = &sumtimes_A[0]; p <= ptop; p++) s += *p;
-    sumtimes_t2 = runtime();
+    sumtimes_t2 = usertime();
     s = matsum(sumtimes_A);
-    sumtimes_t3 = runtime();
+    sumtimes_t3 = usertime();
 
     print "Matrix sum runtimes";
     printf('\tStandard "for" loop:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
@@ -60,11 +56,11 @@ define timelistsum(N) {
     sumtimes_A = makelist(N);
     for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
 
-    sumtimes_t0 = runtime();
+    sumtimes_t0 = usertime();
     for (s = n = 0; n < N; n++) s += sumtimes_A[n];
-    sumtimes_t1 = runtime();
+    sumtimes_t1 = usertime();
     s = sum(sumtimes_A);
-    sumtimes_t2 = runtime();
+    sumtimes_t2 = usertime();
     print "List sum runtimes";
     printf('\tStandard "for" loop:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
     printf('\tUsing builtin "sum":\t\t%.4f\n', sumtimes_t2 - sumtimes_t1);
@@ -76,9 +72,9 @@ define timematsort(N) {
 
     sumtimes_A = mat[N];
     for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
-    sumtimes_t0 = runtime();
+    sumtimes_t0 = usertime();
     sort(sumtimes_A);
-    sumtimes_t1 = runtime();
+    sumtimes_t1 = usertime();
     printf('\tMatrix sort runtime:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
 }
 
@@ -88,9 +84,9 @@ define timelistsort(N) {
 
     sumtimes_A = makelist(N);
     for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
-    sumtimes_t0 = runtime();
+    sumtimes_t0 = usertime();
     sort(sumtimes_A);
-    sumtimes_t1 = runtime();
+    sumtimes_t1 = usertime();
     printf('\tList sort runtime:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
 }
 
@@ -99,9 +95,9 @@ define timematreverse(N) {
 
     sumtimes_A = mat[N];
     for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
-    sumtimes_t0 = runtime();
+    sumtimes_t0 = usertime();
     reverse(sumtimes_A);
-    sumtimes_t1 = runtime();
+    sumtimes_t1 = usertime();
     printf('\tMatrix reverse runtime        %.4f\n', sumtimes_t1 - sumtimes_t0);
 }
 
@@ -110,9 +106,9 @@ define timelistreverse(N) {
 
     sumtimes_A = makelist(N);
     for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
-    sumtimes_t0 = runtime();
+    sumtimes_t0 = usertime();
     reverse(sumtimes_A);
-    sumtimes_t1 = runtime();
+    sumtimes_t1 = usertime();
     printf('\tList reverse runtime:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
 }
 
@@ -124,11 +120,11 @@ define timematssq(N) {
     for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
 
     ptop = &sumtimes_A[n-1];
-    sumtimes_t0 = runtime();
+    sumtimes_t0 = usertime();
     for (s = n = 0; n < N; n++) s += sumtimes_A[n]^2;
-    sumtimes_t1 = runtime();
+    sumtimes_t1 = usertime();
     for (s = 0, p = &sumtimes_A[0]; p <= ptop; p++) s += (*p)^2;
-    sumtimes_t2 = runtime();
+    sumtimes_t2 = usertime();
 
     print "Matrix sum of squares runtimes";
     printf('\tStandard "for" loop:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
@@ -141,11 +137,11 @@ define timelistssq(N) {
     sumtimes_A = makelist(N);
     for (n = 0; n < N; n++) sumtimes_A[n] = rand(N);
 
-    sumtimes_t0 = runtime();
+    sumtimes_t0 = usertime();
     for (s = n = 0; n < N; n++) s += sumtimes_A[n]^2;
-    sumtimes_t1 = runtime();
+    sumtimes_t1 = usertime();
     s = ssq(sumtimes_A);
-    sumtimes_t2 = runtime();
+    sumtimes_t2 = usertime();
     print "List sum of squares runtimes";
     printf('\tStandard "for" loop:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
     printf('\tUsing builtin "ssq":\t\t%.4f\n', sumtimes_t2 - sumtimes_t1);
@@ -157,14 +153,14 @@ define timehmean(N, M = 10) {
     sumtimes_A = makelist(N);
     for (n = 0; n < N; n++) sumtimes_A[n] = rand(1, M);
 
-    sumtimes_t0 = runtime();
+    sumtimes_t0 = usertime();
     for (s = n = 0; n < N; n++) s += 1/sumtimes_A[n];
     v1 = N/s;
-    sumtimes_t1 = runtime();
+    sumtimes_t1 = usertime();
     v2 = hmean(sumtimes_A);
-    sumtimes_t2 = runtime();
+    sumtimes_t2 = usertime();
     print v1, v2;
-    print "List harmonic meanruntimes";
+    print "List harmonic mean runtimes";
     printf('\tStandard "for" loop:\t\t%.4f\n', sumtimes_t1 - sumtimes_t0);
     printf('\tUsing builtin "hmean":\t\t%.4f\n', sumtimes_t2 - sumtimes_t1);
 }

cal/surd.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: surd.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/surd.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1990/02/15 01:50:38
  * File existed as early as:	before 1990

cal/test1700.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: test1700.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/test1700.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * Under source code control:	1994/03/14 23:12:51
  * File existed as early as:	1994

cal/test2300.cal

@@ -15,11 +15,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: test2300.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/test2300.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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
  *
@@ -17,11 +17,7 @@
  * 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.
- * 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.
- *
- * @(#) $Revision: 29.2 $
- * @(#) $Id: test2600.cal,v 29.2 2000/06/07 14:02:25 chongo Exp $
- * @(#) $Source: /usr/local/src/cmd/calc/cal/RCS/test2600.cal,v $
+ * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
  *
  * 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)
  *
@@ -91,7 +87,8 @@ define testismult(str, n, verbose)
 		if (!ismult(c,a)) {
 			m++;
 			if (verbose > 1) {
-				printf("*** Failure with:\na = %d\nb = %d\n", a,b);
+				printf("*** Failure with:\na = %d\nb = %d\n",
+				       a,b);
 			}
 		}
 	}
@@ -133,7 +130,8 @@ define testsqrt(str, n, eps, verbose)
 		if (abs(c) > 1) {
 			m++;
 			if (verbose > 1) {
-				printf("*** Failure with:\na = %d\neps = %d\n", a,eps);
+				printf("*** Failure with:\na = %d\neps = %d\n",
+				       a,eps);
 			}
 		}
 	}
@@ -178,7 +176,8 @@ define testexp(str, n, eps, verbose)
 		if (abs(c) > 0.02) {
 			m++;
 			if (verbose > 1) {
-				printf("*** Failure with:\na = %d\neps = %d\n", a,eps);
+				printf("*** Failure with:\na = %d\neps = %d\n",
+				       a,eps);
 			}
 		}
 	}
@@ -235,7 +234,8 @@ define testln(str, n, eps, verbose)
 		if (abs(c) > 0.5) {
 			m++;
 			if (verbose > 1) {
-				printf("*** Failure with:\na = %d\neps = %d\n", a,eps);
+				printf("*** Failure with:\na = %d\neps = %d\n",
+				       a,eps);
 			}
 		}
 	}
@@ -313,6 +313,102 @@ define testpower(str, n, b, eps, verbose)
 }
 
 
+define testpower2(str, n, eps, verbose)
+{
+	local i, a, c, m, min, max;
+	local b;
+	local num;
+	local c2;
+	local oldeps;
+
+	if (isnull(verbose)) verbose = 2;
+	if (verbose > 0) {
+		print str:":",:;
+	}
+	if (isnull(eps))
+		eps = epsilon();
+	oldeps = epsilon(eps);
+	epsilon(eps),;
+	if (!isnum(b))
+		quit "Second argument (exponent) to be a number";
+	min = 1000;
+	max = -1000;
+	for (i = 1; i <= n; i++) {
+		if (verbose > 2) print i,:;
+
+		/* real ^ real */
+		a = rand(1,1e20);
+		a = a / (int(a/2)+rand(1,1e20));
+		b = rand(1,1e20);
+		b = b / (int(b/2)+rand(1,1e20));
+		c = a ^ b;
+		c2 = power(a, b);
+		if (c != c2) {
+			m++;
+			if (verbose > 1) {
+				printf("*** real^real failure for a = %d\n", a);
+			}
+		}
+
+		/* complex ^ real */
+		a = rand(1,1e20);
+		a = a / (int(a/2)+rand(1,1e20));
+		b = rand(1,1e20);
+		b = b / (int(b/2)+rand(1,1e20));
+		c = (a*1i) ^ b;
+		c2 = power(a*1i, b);
+		if (c != c2) {
+			m++;
+			if (verbose > 1) {
+				printf("*** comp^real failure for a = %d\n", a);
+			}
+		}
+
+		/* real ^ complex */
+		a = rand(1,1e20);
+		a = a / (int(a/2)+rand(1,1e20));
+		b = rand(1,1e20);
+		b = b / (int(b/2)+rand(1,1e20));
+		c = a ^ (b*1i);
+		c2 = power(a, b*1i);
+		if (c != c2) {
+			m++;
+			if (verbose > 1) {
+				printf("*** real^comp failure for a = %d\n", a);
+			}
+		}
+
+		/* complex ^ complex */
+		a = rand(1,1e20);
+		a = a / (int(a/2)+rand(1,1e20));
+		b = rand(1,1e20);
+		b = b / (int(b/2)+rand(1,1e20));
+		c = (a*1i) ^ (b*1i);
+		c2 = power(a*1i, b*1i);
+		if (c != c2) {
+			m++;
+			if (verbose > 1) {
+				printf("*** comp^comp failure for a = %d\n", a);
+			}
+		}
+	}
+	epsilon(oldeps),;
+	if (verbose > 0) {
+		if (m) {
+			printf("*** %d error(s)\n", m);
+			printf("    %s: rem/eps min=%d, max=%d\n",
+			       str, min, max);
+		} else {
+			printf("no errors\n");
+		}
+	}
+	if (verbose > 1) {
+		printf("    %s: rem/eps min=%0.4d, max=%0.4d\n", str, min, max);
+	}
+	return m;
+}
+
+
 define cpow(a, b, eps)		/* Find rem/eps for power(a,b,eps) */
 {
 	local v, v1, c, n, d, h;
@@ -504,6 +600,7 @@ define test2600(verbose, tnum)
 		err += testsqrt(strcat(str(tnum++),": sqrt",str(i)), n*10,
 				ep, verbose);
 	}
+	err += testpower2(strcat(str(tnum++),": power"), n*4, ep, verbose);
 	if (verbose > 1) {
 		if (err) {
 			print "***", err, "error(s) found in test2600";