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|
From: dauti <da...@us...> - 2025-09-18 20:48:58
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, master has been updated
via 3c5e3255a9be6a84aaeaeb779bbb2e83809f46c3 (commit)
from ad20828202ad9d17fb38be8a49ab60aca06babd3 (commit)
Those revisions listed above that are new to this repository have
not appeared on any other notification email; so we list those
revisions in full, below.
- Log -----------------------------------------------------------------
commit 3c5e3255a9be6a84aaeaeb779bbb2e83809f46c3
Author: Wolfgang Dautermann <da...@us...>
Date: Thu Sep 18 22:47:45 2025 +0200
Fix HTML error when generating documentation.
A '"' and a ')' were in the wrong order.
diff --git a/configure.ac b/configure.ac
index 34ce9a55c..a4ce95a13 100644
--- a/configure.ac
+++ b/configure.ac
@@ -745,7 +745,7 @@ if test x"${enable_build_docs}" = xtrue ; then
TEXI_EXTRA_TAIL=')'
fi
if test x${syntax_highlighting} = xhighlightjs; then
- HIGHLIGHT1='<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/styles/github.min.css" media="(prefers-color-scheme: light)"> <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/styles/github-dark.min.css" media="(prefers-color-scheme: dark")> <script src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/highlight.min.js"></script> <script src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/languages/maxima.min.js"> </script>
+ HIGHLIGHT1='<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/styles/github.min.css" media="(prefers-color-scheme: light)"> <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/styles/github-dark.min.css" media="(prefers-color-scheme: dark)"> <script src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/highlight.min.js"></script> <script src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/languages/maxima.min.js"> </script>
'
HIGHLIGHT2="<script> hljs.configure({languages: [['Maxima']], cssSelector: ${HLJS_CSS_SELECTOR}}); hljs.highlightAll(); </script>
"
-----------------------------------------------------------------------
Summary of changes:
configure.ac | 2 +-
1 file changed, 1 insertion(+), 1 deletion(-)
hooks/post-receive
--
Maxima CAS
|
|
From: dauti <da...@us...> - 2025-09-18 17:03:16
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS Website".
The branch, master has been updated
via 0ada990ecae7261a0fdd6376681f13b2912ff018 (commit)
from e24b236fb9194cfa2b20bb4ee55d5104ce39ccf4 (commit)
Those revisions listed above that are new to this repository have
not appeared on any other notification email; so we list those
revisions in full, below.
- Log -----------------------------------------------------------------
commit 0ada990ecae7261a0fdd6376681f13b2912ff018
Author: Wolfgang Dautermann <da...@us...>
Date: Thu Sep 18 18:59:08 2025 +0200
Remove polyfill.io javascript from every html file.
It occurs in many manual html files (several languages,
not only german).
diff --git a/docs/manual/es/maxima.html b/docs/manual/es/maxima.html
index e2f0a70..ae014fc 100644
--- a/docs/manual/es/maxima.html
+++ b/docs/manual/es/maxima.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_1.html b/docs/manual/es/maxima_1.html
index 7858e05..e877864 100644
--- a/docs/manual/es/maxima_1.html
+++ b/docs/manual/es/maxima_1.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_10.html b/docs/manual/es/maxima_10.html
index 28dc6e6..6d8bd06 100644
--- a/docs/manual/es/maxima_10.html
+++ b/docs/manual/es/maxima_10.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_100.html b/docs/manual/es/maxima_100.html
index 9bc73f4..59dcb0e 100644
--- a/docs/manual/es/maxima_100.html
+++ b/docs/manual/es/maxima_100.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
<script type='text/javascript'>
MathJax = {
options: {
diff --git a/docs/manual/es/maxima_101.html b/docs/manual/es/maxima_101.html
index c5a3f14..6a859f0 100644
--- a/docs/manual/es/maxima_101.html
+++ b/docs/manual/es/maxima_101.html
@@ -62,7 +62,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
<script type='text/javascript'>
MathJax = {
options: {
diff --git a/docs/manual/es/maxima_102.html b/docs/manual/es/maxima_102.html
index 71ed598..38135a2 100644
--- a/docs/manual/es/maxima_102.html
+++ b/docs/manual/es/maxima_102.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_103.html b/docs/manual/es/maxima_103.html
index 72e7a9e..905e85d 100644
--- a/docs/manual/es/maxima_103.html
+++ b/docs/manual/es/maxima_103.html
@@ -62,7 +62,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_104.html b/docs/manual/es/maxima_104.html
index 75334ac..aac9772 100644
--- a/docs/manual/es/maxima_104.html
+++ b/docs/manual/es/maxima_104.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_105.html b/docs/manual/es/maxima_105.html
index 56e121c..ccff49c 100644
--- a/docs/manual/es/maxima_105.html
+++ b/docs/manual/es/maxima_105.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_106.html b/docs/manual/es/maxima_106.html
index f448eea..e043c2d 100644
--- a/docs/manual/es/maxima_106.html
+++ b/docs/manual/es/maxima_106.html
@@ -62,7 +62,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_107.html b/docs/manual/es/maxima_107.html
index d54c8d7..1800749 100644
--- a/docs/manual/es/maxima_107.html
+++ b/docs/manual/es/maxima_107.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_108.html b/docs/manual/es/maxima_108.html
index 1f5b8cb..6f2493b 100644
--- a/docs/manual/es/maxima_108.html
+++ b/docs/manual/es/maxima_108.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_109.html b/docs/manual/es/maxima_109.html
index 32bea6b..6f4daf0 100644
--- a/docs/manual/es/maxima_109.html
+++ b/docs/manual/es/maxima_109.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_11.html b/docs/manual/es/maxima_11.html
index 224b60e..ef92803 100644
--- a/docs/manual/es/maxima_11.html
+++ b/docs/manual/es/maxima_11.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_110.html b/docs/manual/es/maxima_110.html
index 976e154..bcfa4b8 100644
--- a/docs/manual/es/maxima_110.html
+++ b/docs/manual/es/maxima_110.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_111.html b/docs/manual/es/maxima_111.html
index 2b4c171..47711c6 100644
--- a/docs/manual/es/maxima_111.html
+++ b/docs/manual/es/maxima_111.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_112.html b/docs/manual/es/maxima_112.html
index 006862a..f225686 100644
--- a/docs/manual/es/maxima_112.html
+++ b/docs/manual/es/maxima_112.html
@@ -62,7 +62,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
<script type='text/javascript'>
MathJax = {
options: {
diff --git a/docs/manual/es/maxima_113.html b/docs/manual/es/maxima_113.html
index 479a0a9..1fde16f 100644
--- a/docs/manual/es/maxima_113.html
+++ b/docs/manual/es/maxima_113.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_114.html b/docs/manual/es/maxima_114.html
index 2c95c77..0083d61 100644
--- a/docs/manual/es/maxima_114.html
+++ b/docs/manual/es/maxima_114.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_115.html b/docs/manual/es/maxima_115.html
index ba70323..83a1011 100644
--- a/docs/manual/es/maxima_115.html
+++ b/docs/manual/es/maxima_115.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_116.html b/docs/manual/es/maxima_116.html
index 0123368..ceb6dbd 100644
--- a/docs/manual/es/maxima_116.html
+++ b/docs/manual/es/maxima_116.html
@@ -63,7 +63,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_117.html b/docs/manual/es/maxima_117.html
index af9c9ad..ae29286 100644
--- a/docs/manual/es/maxima_117.html
+++ b/docs/manual/es/maxima_117.html
@@ -62,7 +62,6 @@ img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-r
</style>
<link rel="icon" href="figures/favicon.ico">
-<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
</head>
diff --git a/docs/manual/es/maxima_118.html b/docs/manual/es/maxima_118.html
index 761b9a3..225d1bb 100644
--- a/docs/manual/es/maxima_118.html
+++ b/docs/manual/es/maxima_118.html
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commit e24b236fb9194cfa2b20bb4ee55d5104ce39ccf4
Author: villate <vi...@fe...>
Date: Thu Sep 18 14:40:21 2025 +0100
Removes malicious polyfill Javascript.
diff --git a/docs/manual/de/maxima.html b/docs/manual/de/maxima.html
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<...
[truncated message content] |
|
From: billingd <bil...@us...> - 2025-09-16 13:52:07
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, master has been updated
via ad20828202ad9d17fb38be8a49ab60aca06babd3 (commit)
from b9fd9df7cad15c2daca354b15edc6da5645ba974 (commit)
Those revisions listed above that are new to this repository have
not appeared on any other notification email; so we list those
revisions in full, below.
- Log -----------------------------------------------------------------
commit ad20828202ad9d17fb38be8a49ab60aca06babd3
Author: David Billinghurst <bil...@us...>
Date: Tue Sep 16 23:50:19 2025 +1000
cobyla.texi.m4: Add hyperlinks and DOI to references. Hyperlink maxima files.
diff --git a/doc/info/cobyla.texi.m4 b/doc/info/cobyla.texi.m4
index c0434a171..eb3893f53 100644
--- a/doc/info/cobyla.texi.m4
+++ b/doc/info/cobyla.texi.m4
@@ -46,9 +46,9 @@ References:
[1] Fortran Code is from @url{http://plato.asu.edu/sub/nlores.html#general}
-[2] M. J. D. Powell, "A direct search optimization method that models the objective and constraint functions by linear interpolation," in Advances in Optimization and Numerical Analysis, eds. S. Gomez and J.-P. Hennart (Kluwer Academic: Dordrecht, 1994), p. 51-67.
+[2] M. J. D. Powell, "A direct search optimization method that models the objective and constraint functions by linear interpolation," in Advances in Optimization and Numerical Analysis, eds. S. Gomez and J.-P. Hennart (Kluwer Academic: Dordrecht, 1994), p. 51-67. @url{https://doi.org/10.1007/978-94-015-8330-5_4, doi:10.1007/978-94-015-8330-5_4}
-[3] M. J. D. Powell, "Direct search algorithms for optimization calculations," Acta Numerica 7, 287-336 (1998). Also available as University of Cambridge, Department of Applied Mathematics and Theoretical Physics, Numerical Analysis Group, Report NA1998/04 from @url{https://web.archive.org/web/20160607190705/http://www.damtp.cam.ac.uk:80/user/na/reports.html}
+[3] M. J. D. Powell, "Direct search algorithms for optimization calculations," Acta Numerica 7, 287-336 (1998). @url{https://doi.org/10.1017/S0962492900002841, doi:10.1017/S0962492900002841} Also available as University of Cambridge, Department of Applied Mathematics and Theoretical Physics, Numerical Analysis Group, Report NA1998/04 from @url{https://web.archive.org/web/20160607190705/http://www.damtp.cam.ac.uk:80/user/na/reports.html}
@opencatbox{Categories:}
@category{Numerical methods}
@@ -227,8 +227,11 @@ constraints may not be satisfied. Substituting the solution into the
constraint equation as shown in @code{%o2} shows that the constraint
is, of course, violated.
-There are additional examples in the share/cobyla/ex directory and in
-share/cobyla/rtest_cobyla.mac.
+There are additional examples in the
+@url{https://sourceforge.net/p/maxima/code/ci/master/tree/share/cobyla/ex,
+share/cobyla/ex} directory and in
+@url{https://sourceforge.net/p/maxima/code/ci/master/tree/share/cobyla/rtest_cobyla.mac,
+share/cobyla/rtest_cobyla.mac}.
@c Local Variables:
@c mode: texinfo
-----------------------------------------------------------------------
Summary of changes:
doc/info/cobyla.texi.m4 | 11 +++++++----
1 file changed, 7 insertions(+), 4 deletions(-)
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From: billingd <bil...@us...> - 2025-09-16 09:20:10
|
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commit b9fd9df7cad15c2daca354b15edc6da5645ba974
Author: David Billinghurst <bil...@us...>
Date: Tue Sep 16 19:19:57 2025 +1000
Remove stray comment string from colnew example 5
diff --git a/doc/info/colnew.texi.m4 b/doc/info/colnew.texi.m4
index 585ae184b..60b6f5805 100644
--- a/doc/info/colnew.texi.m4
+++ b/doc/info/colnew.texi.m4
@@ -1520,12 +1520,10 @@ before @var{e} is set, so that it can be changed in the program.
@c [discrete,X,Z[4]], [discrete,X,Z[5]]],
@c [legend,"e=1e-2","e=1e-3","e=1e-4","e=1e-5","e=1e-6"],
@c [xlabel,"x"],[ylabel,"u(x)"],
-@c [png_file,"./colnew-ex5.png"]); */
+@c [png_file,"./colnew-ex5.png"]);
@c done$
@c ===end===
-incorrect syntax: * is not a prefix operator
- */
- ^
+
@example maxima
(%i1) load("colnew")$
(%i2) kill(e,x,z1,z2)$
-----------------------------------------------------------------------
Summary of changes:
doc/info/colnew.texi.m4 | 6 ++----
1 file changed, 2 insertions(+), 4 deletions(-)
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From: rtoy <rt...@us...> - 2025-09-15 15:22:27
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commit c6fe5d3c4b717c8cd4182031be07765f52e0c362
Merge: 27ef93244 b3f5ec1f8
Author: Raymond Toy <toy...@gm...>
Date: Mon Sep 15 08:21:53 2025 -0700
Merge branch 'bug-4607-cf-issues'
-----------------------------------------------------------------------
Summary of changes:
configure.ac | 2 +-
src/combin.lisp | 11 +++++++++--
tests/rtest10.mac | 7 +++++++
3 files changed, 17 insertions(+), 3 deletions(-)
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From: villate <vi...@us...> - 2025-09-15 10:14:38
|
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commit 27ef93244086bb59589d2e1e624ce5a96309e4bc
Author: villate <vi...@fe...>
Date: Mon Sep 15 11:13:46 2025 +0100
Replace legacy backquotes by the newer $(...) syntax
diff --git a/src/maxima.in b/src/maxima.in
index a2240b6bb..79483d2a4 100755
--- a/src/maxima.in
+++ b/src/maxima.in
@@ -9,11 +9,11 @@ setup_vars() {
if [ -z "$MAXIMA_VERSION" ]; then
MAXIMA_VERSION="@VERSION@"
fi
- prefix=`unixize "@prefix@"`
- exec_prefix=`unixize "@exec_prefix@"`
+ prefix=$(unixize "@prefix@")
+ exec_prefix=$(unixize "@exec_prefix@")
PACKAGE=@PACKAGE@
- top_srcdir=`unixize "@expanded_top_srcdir@"`
- libdir=`unixize "@libdir@"`
+ top_srcdir=$(unixize "@expanded_top_srcdir@")
+ libdir=$(unixize "@libdir@")
if [ -n "$MAXIMA_LAYOUT_AUTOTOOLS" ]; then
layout_autotools="$MAXIMA_LAYOUT_AUTOTOOLS"
else
@@ -28,16 +28,16 @@ setup_vars() {
MAXIMA_IMAGESDIR="$MAXIMA_DEFAULT_IMAGESDIR"
else
if [ "$layout_autotools" = "true" ]; then
- MAXIMA_IMAGESDIR=`unixize "$MAXIMA_PREFIX"`/lib/$PACKAGE/$MAXIMA_VERSION
+ MAXIMA_IMAGESDIR=$(unixize "$MAXIMA_PREFIX")/lib/$PACKAGE/$MAXIMA_VERSION
else
- MAXIMA_IMAGESDIR=`unixize "$MAXIMA_PREFIX"`/src
+ MAXIMA_IMAGESDIR=$(unixize "$MAXIMA_PREFIX")/src
fi
fi
MAXIMA_DEFAULT_LISP=@DEFAULTLISP@
# If the the binary directory for the default lisp is not present,
# choose the first one we find.
if [ ! -d "$MAXIMA_IMAGESDIR/binary-$MAXIMA_DEFAULT_LISP" ]; then
- MAXIMA_DEFAULT_LISP=`ls -1 $MAXIMA_IMAGESDIR 2>/dev/null | head -n 1 | sed 's/binary-//'`
+ MAXIMA_DEFAULT_LISP=$(ls -1 $MAXIMA_IMAGESDIR 2>/dev/null | head -n 1 | sed 's/binary-//')
fi
if [ -z "$MAXIMA_LISP" ]; then
MAXIMA_LISP=$MAXIMA_DEFAULT_LISP
@@ -53,7 +53,7 @@ process_userdir_argument() {
while [ -n "$1" ]; do
case $1 in
--userdir ) MAXIMA_USERDIR=$2 ; shift;;
- --userdir=* ) MAXIMA_USERDIR=`echo "$1" | sed 's/--userdir=//'` ;;
+ --userdir=* ) MAXIMA_USERDIR=$(echo "$1" | sed 's/--userdir=//') ;;
esac
shift
done
@@ -63,23 +63,23 @@ fi
}
# make a special check for --userdir argument, because it influences location
-# of maximarc, which is parsed before other command-line options are
+# of maximarc, which is parsed before other command-line options are
# processed
process_userdir_argument "$@"
if [ -z "$MAXIMA_USERDIR" ]; then
maximarc_path="$HOME/.maxima/maximarc"
else
- maximarc_path="`unixize \"$MAXIMA_USERDIR\"`/maximarc"
+ maximarc_path="$(unixize \"$MAXIMA_USERDIR\")/maximarc"
fi
# Parses the maximarc file. For any line of the type keyword=<value>,
# the line will be "exported" (enviroment variable keyword set to <value>).
-# Lines which something different than that are ignored.
+# Lines with something different than that are ignored.
if [ -f "$maximarc_path" ]; then
while IFS= read -r line; do
n=$(expr "$line" : '^[a-zA-Z\_]\+=')
- [ $n -ne 0 ] && export "$line"
+ [ "$n" -ne 0 ] && export "$line"
done < "$maximarc_path"
fi
@@ -122,11 +122,11 @@ process_commandline_arguments() {
while [ -n "$1" ]; do
case $1 in
-l|--lisp ) MAXIMA_LISP=$2 ; shift;;
- --lisp=*) MAXIMA_LISP=`echo "$1" | sed 's/--lisp=//'` ;;
+ --lisp=*) MAXIMA_LISP=$(echo "$1" | sed 's/--lisp=//') ;;
-u|--use-version ) MAXIMA_VERSION=$2 ; shift;;
- --use-version=*) MAXIMA_VERSION=`echo "$1" | sed 's/--use-version=//'` ;;
+ --use-version=*) MAXIMA_VERSION=$(echo "$1" | sed 's/--use-version=//') ;;
-X|--lisp-options) MAXIMA_LISP_OPTIONS="$2" ; shift ;;
- --lisp-options=*) MAXIMA_LISP_OPTIONS=`echo "$1" | sed 's/--lisp-options=//'` ;;
+ --lisp-options=*) MAXIMA_LISP_OPTIONS=$(echo "$1" | sed 's/--lisp-options=//') ;;
--userdir ) : ; shift;; # noop; handled by process_userdir_argument
--userdir=*) : ;; # noop; handled by process_userdir_argument
-v|--verbose ) verbose=true;;
@@ -149,7 +149,7 @@ setup_vars
if [ ! -d "$MAXIMA_IMAGESDIR" ]; then
# Have we been moved?
- MAXIMA_PREFIX=`(cd "\`dirname "$0"\`" 1>/dev/null 2>/dev/null; dirname "\`pwd\`")`
+ MAXIMA_PREFIX=$( (cd "\`dirname "$0"\`" 1>/dev/null 2>/dev/null; dirname "\`pwd\`"))
export MAXIMA_PREFIX
unsetup_vars
setup_vars
-----------------------------------------------------------------------
Summary of changes:
src/maxima.in | 32 ++++++++++++++++----------------
1 file changed, 16 insertions(+), 16 deletions(-)
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From: villate <vi...@us...> - 2025-09-14 16:49:36
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
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The branch, master has been updated
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- Log -----------------------------------------------------------------
commit ecf6621191402edd31bc4cf2e9576d846249308c
Author: villate <vi...@fe...>
Date: Sun Sep 14 17:44:40 2025 +0100
Parses the maximarc file instead of sourcing it.
Sourcing a file poses a high security risk. The maximarc file should only
be used to set some environment variables such as MAXIMA_LISP for the preferred Lisp flavor.
Lines which are not used to set environment variables will now be ignored.
diff --git a/src/maxima.in b/src/maxima.in
index ce84356a6..a2240b6bb 100755
--- a/src/maxima.in
+++ b/src/maxima.in
@@ -63,7 +63,7 @@ fi
}
# make a special check for --userdir argument, because it influences location
-# of maximarc, which is sourced before other command-line options are
+# of maximarc, which is parsed before other command-line options are
# processed
process_userdir_argument "$@"
@@ -72,8 +72,15 @@ if [ -z "$MAXIMA_USERDIR" ]; then
else
maximarc_path="`unixize \"$MAXIMA_USERDIR\"`/maximarc"
fi
+
+# Parses the maximarc file. For any line of the type keyword=<value>,
+# the line will be "exported" (enviroment variable keyword set to <value>).
+# Lines which something different than that are ignored.
if [ -f "$maximarc_path" ]; then
- . "$maximarc_path"
+ while IFS= read -r line; do
+ n=$(expr "$line" : '^[a-zA-Z\_]\+=')
+ [ $n -ne 0 ] && export "$line"
+ done < "$maximarc_path"
fi
# For some reason TeXmacs sets MAXIMA_DIRECTORY to the empty string,
-----------------------------------------------------------------------
Summary of changes:
src/maxima.in | 11 +++++++++--
1 file changed, 9 insertions(+), 2 deletions(-)
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From: rtoy <rt...@us...> - 2025-09-13 13:39:58
|
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- Log -----------------------------------------------------------------
commit b3f5ec1f89b13a91e367aaa317f0ca2d287456e9
Author: Raymond Toy <toy...@gm...>
Date: Sat Sep 13 06:39:05 2025 -0700
Update from Michel
This updated version removes some extraneous tests that added
unnecessarily.
diff --git a/src/combin.lisp b/src/combin.lisp
index b70b66ccd..fe4b44ca7 100644
--- a/src/combin.lisp
+++ b/src/combin.lisp
@@ -833,7 +833,7 @@
((floatp a)
(let ((a (maxima-rationalize a)))
(cons '(mlist cf) (ratcf (car a) (cdr a)))))
- ((and (eq (caar a) 'bigfloat) ($bfloatp a))
+ (($bfloatp a)
(let (($bftorat t))
(setq a (bigfloat2rat a))
(cons '(mlist cf) (ratcf (car a) (cdr a)))))
@@ -845,7 +845,7 @@
(cfratsimp a))
;;the following doesn't work for non standard form
;; (cfplus a '((mlist) 0))) ??? seems to work
- ((and (eq (caar a) 'mtimes) (mtimesp a) (cddr a) (null (cdddr a))
+ ((and (mtimesp a) (cddr a) (null (cdddr a))
(fixnump (cadr a))
(mexptp (caddr a))
(fixnump (cadr (caddr a)))
commit 09d6fb745edb9296c6c59e12a3d273eadcb6df1e
Merge: e93381d18 7d78aa96b
Author: Raymond Toy <toy...@gm...>
Date: Thu Sep 11 17:51:38 2025 -0700
Merge branch 'master' into bug-4607-cf-issues
-----------------------------------------------------------------------
Summary of changes:
doc/info/wrstcse.texi | 83 +++++++++++++++++++++++++++++++++++------
share/contrib/rtest_wrstcse.mac | 2 +
share/contrib/wrstcse.mac | 81 +++++++++++++++++++++++++++++++++++-----
src/combin.lisp | 4 +-
4 files changed, 146 insertions(+), 24 deletions(-)
hooks/post-receive
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From: peterpall <pet...@us...> - 2025-09-11 15:52:06
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
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- Log -----------------------------------------------------------------
commit 7d78aa96b227bdd2e6526566e8e6c53c6a6bbdc1
Author: Gunter Königsmann <gu...@pe...>
Date: Thu Sep 11 17:51:38 2025 +0200
wrstcase: Better support for assymetrical tolerances
Now that everything supports assymetrical tolerances we can drop
the approach of approximating by a quadratic equation.
diff --git a/doc/info/wrstcse.texi b/doc/info/wrstcse.texi
index a156d2949..2b83956b1 100644
--- a/doc/info/wrstcse.texi
+++ b/doc/info/wrstcse.texi
@@ -594,8 +594,8 @@ this only happens in a neglectible number of cases. But it will yield only
the correct results if the gaussian distribution of the input data is known.
Due to its nature this method doesn't support tolerances that aren't
-symmetrical, and therefore has only poor support for non-linear
-dependencies of @code{expr} from @var{tol[n]}.
+symmetrical. Therefore in that case the tolerances are extended in the
+direction that is less wide.
See also @mref{wc_defaultsigma} @mrefcomma{wc_mintypmax_rss_percent} and
@mrefdot{wc_mintypmax}
@@ -945,9 +945,10 @@ Example:
| 1| 1
+ 0.125 (tol - |tol |) + 0.75,
1 | 1|
- 2
-R = 0.04999999999999993 tol + 0.15000000000000002 tol + 1.1,
- 2 2
+R = 0.09999999999999998 (|tol | + tol )
+ | 2| 2
+ + 0.050000000000000044 (tol - |tol |) + 1.1,
+ 2 | 2|
15 (|tol | + tol )
| 3| 3
U_In = ------------------]
@@ -955,12 +956,11 @@ U_In = ------------------]
@end group
@group
(%i3) wc_inputvalueranges(vals);
-(%o3)
- [ U_Diode min = 0.5 typ = 0.75 max = 0.82 ]
- [ ]
- [ R min = 1.0 typ = 1.1 max = 1.2999999999999998 ]
- [ ]
- [ U_In min = 0 typ = 0 max = 15 ]
+ [ U_Diode min = 0.5 typ = 0.75 max = 0.82 ]
+ [ ]
+(%o3) [ R min = 1.0 typ = 1.1 max = 1.3 ]
+ [ ]
+ [ U_In min = 0 typ = 0 max = 15 ]
@end group
@end example
@end deffn
diff --git a/share/contrib/wrstcse.mac b/share/contrib/wrstcse.mac
index 7b9d65cb5..4932aedbb 100644
--- a/share/contrib/wrstcse.mac
+++ b/share/contrib/wrstcse.mac
@@ -184,19 +184,20 @@ wc_inputvalueassumptions(wc_x):=block([wc_line,wc_assumptions:[]],
);
/* A function that generates an equation out of the min, typ and maximum value for an element */
-wc_mintypmax2tol(wc_tol,wc_min,wc_typ,wc_max):=block([wc_try,wc_dff],
+wc_mintypmax2tol(wc_tol,wc_min,wc_typ,wc_max):=block([wc_try],
if wc_min>wc_typ then warning("wc_mintypmax2tol: Min value bigger than typ value"),
if wc_typ>wc_max then warning("wc_mintypmax2tol: Max value smaller than typ value"),
- /* Try to find a quadratic equation that hits all three points */
- wc_try:((-2*wc_typ+wc_min+wc_max)*wc_tol^2)/2-((wc_min-wc_max)*wc_tol)/2+wc_typ,wc_tol,
- /* Let's see if the quadratic equation overswings the targets */
- wc_dff:diff(wc_try,wc_tol),
- if (subst (wc_tol=-1,wc_dff)<0) or (subst (wc_tol=0,wc_dff)<0) or (subst (wc_tol=1,wc_dff)<0) then
- wc_try:
+ /* Try to find a linear equation that hits all three points */
+ wc_try:wc_typ+(wc_max-wc_typ)*wc_tol,
+ /* Let's see if the quadratic equation hitss the targets */
+ if subst (wc_tol=-1,wc_try) = wc_min then
+ return(wc_try)
+ else
+ return(
wc_typ+
(wc_tol+abs(wc_tol))/2*(wc_max-wc_typ)+
- (wc_tol-abs(wc_tol))/2*(wc_typ-wc_min),
- return(wc_try)
+ (wc_tol-abs(wc_tol))/2*(wc_typ-wc_min)
+ )
);
/* How many sigmas the range of tol[x]=-1...1 is assumed to be wide */
-----------------------------------------------------------------------
Summary of changes:
doc/info/wrstcse.texi | 22 +++++++++++-----------
share/contrib/wrstcse.mac | 19 ++++++++++---------
2 files changed, 21 insertions(+), 20 deletions(-)
hooks/post-receive
--
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From: peterpall <pet...@us...> - 2025-09-11 07:31:45
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, master has been updated
via 3a9a37f764757dddbc0028f6abde43631f80be9e (commit)
from 0f29b7f5a0ae8eda3bbf81b882e1dbad793aa6e2 (commit)
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- Log -----------------------------------------------------------------
commit 3a9a37f764757dddbc0028f6abde43631f80be9e
Author: Gunter Königsmann <gu...@pe...>
Date: Thu Sep 11 09:29:47 2025 +0200
wrstcse: taught the rss methods to deal with asymmetric limits
If a diff() returns 'ind we now use the limit with the bigger abs()
value instead of generating an error message.
diff --git a/share/contrib/wrstcse.mac b/share/contrib/wrstcse.mac
index b95edae5c..7b9d65cb5 100644
--- a/share/contrib/wrstcse.mac
+++ b/share/contrib/wrstcse.mac
@@ -215,7 +215,20 @@ wc_getrssparams(x):=block([tols:[],derivates_linearized,derivates,sigmaval,meanv
meanval:wc_typicalvalues(x),
/* Create a list of derivatives, linearized over the point that all tol[x] are 0.*/
derivates:makelist(block([derivate:limit(%wc_typicalvalues(diff(x,i),i),i,0)],
- if derivate='ind then error("wc_getrssparams: Cannot get meaningful normal distribution params for ",i),
+ if derivate='ind then block([wc_poslimit,wc_neglimit],
+ /* We have two derivates. As we are performing a worst case
+ calculation we make a worst-case assumption and use the bigger
+ one ignoring its sign */
+ wc_poslimit:limit(wc_diffofwctol,wc_tol,0,'plus),
+ wc_neglimit:limit(wc_diffofwctol,wc_tol,0,'minus),
+ derivate:max(abs(wc_poslimit),abs(wc_neglimit)),
+ /* If we can determine which of the limits is bigger we can
+ do without the abs() */
+ if abs(wc_poslimit) > abs(wc_neglimit) then
+ derivate:wc_poslimit,
+ if abs(wc_poslimit) < abs(wc_neglimit) then
+ derivate:wc_neglimit
+ ),
derivate),
i,tols),
derivates_linearized:makelist(taytorat(taylor(i)),i,derivates),
-----------------------------------------------------------------------
Summary of changes:
share/contrib/wrstcse.mac | 15 ++++++++++++++-
1 file changed, 14 insertions(+), 1 deletion(-)
hooks/post-receive
--
Maxima CAS
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From: peterpall <pet...@us...> - 2025-09-11 07:23:13
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, master has been updated
via 0f29b7f5a0ae8eda3bbf81b882e1dbad793aa6e2 (commit)
from db363e9acd3412d1e0bd1f8e2f04fa1f1fd3d886 (commit)
Those revisions listed above that are new to this repository have
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- Log -----------------------------------------------------------------
commit 0f29b7f5a0ae8eda3bbf81b882e1dbad793aa6e2
Author: Gunter Königsmann <gu...@pe...>
Date: Thu Sep 11 09:22:57 2025 +0200
wrstcse: A test for the new function
diff --git a/share/contrib/rtest_wrstcse.mac b/share/contrib/rtest_wrstcse.mac
index 6dc7c2a89..2cf6eda6d 100644
--- a/share/contrib/rtest_wrstcse.mac
+++ b/share/contrib/rtest_wrstcse.mac
@@ -121,6 +121,8 @@ is(R_1<200);
true;
is(R_1>100);
unknown;
+wc_toltaylor(sin(tol[1])+cos(tol[2]),20);
+tol[2]^20/20-tol[2]^18/18+tol[2]^16/16-tol[2]^14/14+tol[2]^12/12-tol[2]^10/10+tol[2]^8/8-tol[2]^6/6+tol[2]^4/4-tol[2]^2/2-tol[1]^19/19+tol[1]^17/17-tol[1]^15/15+tol[1]^13/13-tol[1]^11/11+tol[1]^9/9-tol[1]^7/7+tol[1]^5/5-tol[1]^3/3+tol[1]+1;
(kill(R_1),done);
done;
(kill(R_2),done);
-----------------------------------------------------------------------
Summary of changes:
share/contrib/rtest_wrstcse.mac | 2 ++
1 file changed, 2 insertions(+)
hooks/post-receive
--
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|
From: peterpall <pet...@us...> - 2025-09-11 07:20:54
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, master has been updated
via db363e9acd3412d1e0bd1f8e2f04fa1f1fd3d886 (commit)
from 9ab39fcc3b33194ee7e818e65877337cd8c4a9f4 (commit)
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- Log -----------------------------------------------------------------
commit db363e9acd3412d1e0bd1f8e2f04fa1f1fd3d886
Author: Gunter Königsmann <gu...@pe...>
Date: Thu Sep 11 09:20:37 2025 +0200
wrstcse: Documented the new command
diff --git a/doc/info/wrstcse.texi b/doc/info/wrstcse.texi
index 453503f5b..a156d2949 100644
--- a/doc/info/wrstcse.texi
+++ b/doc/info/wrstcse.texi
@@ -271,7 +271,7 @@ Note that changing the number of @var{tol[n]} will change the statistical distri
of the results over the @var{tol[n]} space and therefore will change the statistical
distribution of the montecarlo method and the results of the root sum square functions.
-See also @mref{wc_mintypmax} and @mrefdot{wc_montecarlo}
+See also @mrefcomma{wc_toltaylor} @mref{wc_mintypmax} and @mrefdot{wc_montecarlo}
Example:
@c ===beg===
@@ -358,6 +358,64 @@ Example:
@end example
@end deffn
+@anchor{wc_toltaylor}
+@deffn {Function} wc_toltaylor (@var{expression}, [n])
+
+Tries to approximate the dependence of @code{expr} of all @var{tol[n]} it contains
+by a tailor series.
+
+If the dependence is different for positive and negative @var{tol[n]} the higher
+dependence is used as a worst-case assumption.
+
+See also @mrefdot{wc_ewc_simplify}
+
+Example:
+@c ===beg===
+@c vals:[
+@c R_1=100*(1+.01*tol[1]),
+@c R_2=200*(1+.01*tol[2])
+@c ];
+@c ic:I_Out=exp(R_1/(R_1+R_2));
+@c subst(vals,ic);
+@c float(wc_toltaylor(rhs(%),2));
+@c ===end===
+@example maxima
+@group
+(%i1) vals:[
+ R_1=100*(1+.01*tol[1]),
+ R_2=200*(1+.01*tol[2])
+(%o1) [R_1 = 100 (0.01 tol + 1), R_2 = 200 (0.01 tol + 1)]
+ 1 2
+@end group
+@group
+(%i2) ];
+ R_1
+ ---------
+ R_2 + R_1
+(%o2) I_Out = %e
+@end group
+@group
+(%i3) ic:I_Out=exp(R_1/(R_1+R_2));
+ 100 (0.01 tol + 1)
+ 1
+ -----------------------------------------
+ 200 (0.01 tol + 1) + 100 (0.01 tol + 1)
+ 2 1
+(%o3) I_Out = %e
+@end group
+@group
+(%i4) subst(vals,ic);
+(%o4) wc_toltaylor(expt(2.718281828459045,
+ 100 (0.01 tol + 1)
+ 1
+ -----------------------------------------), 2.0)
+ 200 (0.01 tol + 1) + 100 (0.01 tol + 1)
+ 2 1
+@end group
+(%i5) float(wc_toltaylor(rhs(%),2));
+@end example
+@end deffn
+
@anchor{wc_montecarlo}
@deffn {Function} wc_montecarlo (@var{expression}, @var{num})
@@ -405,6 +463,7 @@ Example:
@end example
@end deffn
+
@anchor{wc_mintypmax}
@deffn {Function} wc_mintypmax (@var{expr}, [@var{n}])
-----------------------------------------------------------------------
Summary of changes:
doc/info/wrstcse.texi | 61 ++++++++++++++++++++++++++++++++++++++++++++++++++-
1 file changed, 60 insertions(+), 1 deletion(-)
hooks/post-receive
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Maxima CAS
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From: peterpall <pet...@us...> - 2025-09-11 06:51:21
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, master has been updated
via 9ab39fcc3b33194ee7e818e65877337cd8c4a9f4 (commit)
from 1d2475070c8162d444ebba633bcf90db07023a70 (commit)
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- Log -----------------------------------------------------------------
commit 9ab39fcc3b33194ee7e818e65877337cd8c4a9f4
Author: Gunter Königsmann <gu...@pe...>
Date: Thu Sep 11 08:51:01 2025 +0200
wrstcse: Added a new command that creates taylor series of tolerance dependencies
Sometimes in engineering the trick is to simplify stuff by linearizing it.
diff --git a/share/contrib/wrstcse.mac b/share/contrib/wrstcse.mac
index dc79cc930..b95edae5c 100644
--- a/share/contrib/wrstcse.mac
+++ b/share/contrib/wrstcse.mac
@@ -366,6 +366,53 @@ wc_ewc_simplify(x):=block(
return(x)
);
+/* Sometimes the secret of engineering is simplifying something, for example by
+approximating it by a taylor series. This is what this function does do */
+wc_toltaylor(x,[maxorder]):=block(
+ [
+ /* The derivate of x to the tol[n] we currently look at */
+ wc_diffofwctol,
+ /* wc_diffofwctol for the current tol being 0 */
+ wc_diffofwctollimit,
+ retval:wc_typicalvalues(x)
+ ],
+ /* Determine the order of the taylor series we want to generate */
+ if maxorder = [] then maxorder:[1],
+ if length(maxorder) > 1 then error("wc_toltaylor: more than 2 arguments!"),
+ maxorder:maxorder[1],
+ if not numberp(maxorder) then error("wc_toltaylor: The 2nd argument must be a number!"),
+ if maxorder<0 then error("wc_toltaylor: The 2nd argument must not be negative!"),
+
+ /* Perform the taylor series for all tolerances */
+ for wc_tol in %wc_tols(x) do
+ for wc_difforder:1 thru maxorder do
+ (
+ /* Let's see if we can get the derivate we need the naive way */
+ wc_diffofwctol:%wc_typicalvalues(diff(x,wc_tol,wc_difforder),wc_tol),
+ wc_diffofwctollimit:limit(wc_diffofwctol,wc_tol,0),
+
+ /* If the derivate is 'ind we have two derivates at tol[n]=0 */
+ if wc_diffofwctollimit='ind then block([wc_poslimit,wc_neglimit],
+ /* We have two derivates. As we are performing a worst case
+ calculation we make a worst-case assumption and use the bigger
+ one ignoring its sign */
+ wc_poslimit:limit(wc_diffofwctol,wc_tol,0,'plus),
+ wc_neglimit:limit(wc_diffofwctol,wc_tol,0,'minus),
+ wc_diffofwctollimit:max(abs(wc_poslimit),abs(wc_neglimit)),
+ /* If we can determine which of the limits is bigger we can
+ do without the abs() */
+ if abs(wc_poslimit) > abs(wc_neglimit) then
+ wc_diffofwctollimit:wc_poslimit,
+ if abs(wc_poslimit) < abs(wc_neglimit) then
+ wc_diffofwctollimit:wc_neglimit
+ ),
+ /* Add the taylor term we just learned about to the result */
+ retval:retval+wc_tol^wc_difforder/wc_difforder*wc_typicalvalues(wc_diffofwctollimit)
+ ),
+ return(retval)
+);
+
+
wc_sensitivities(expr):=block([tols:[],wc_tol,wc_typ:wc_typicalvalues(expr),wc_result:[]],
/* Compile a list of tol[n] */
for i in listofvars(expr) do
-----------------------------------------------------------------------
Summary of changes:
share/contrib/wrstcse.mac | 47 +++++++++++++++++++++++++++++++++++++++++++++++
1 file changed, 47 insertions(+)
hooks/post-receive
--
Maxima CAS
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|
From: rtoy <rt...@us...> - 2025-09-10 14:58:06
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, bug-4607-cf-issues has been updated
via e93381d18333625d565408939cf54a709973166b (commit)
from 066bd4ad705cf0cd2557d9149bbbfc292f3330d8 (commit)
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- Log -----------------------------------------------------------------
commit e93381d18333625d565408939cf54a709973166b
Author: Raymond Toy <toy...@gm...>
Date: Wed Sep 10 07:55:11 2025 -0700
Add some tests for cf
These were taken from the mailing list. These previously produced
errors, but Michel mentioned that these are now fixed and I can
confirm that they are.
diff --git a/tests/rtest10.mac b/tests/rtest10.mac
index c0822aec1..6acd000ab 100644
--- a/tests/rtest10.mac
+++ b/tests/rtest10.mac
@@ -83,6 +83,13 @@ cflength:3;
cf(sqrt(8));
[2, 1, 4, 1, 4, 1, 4]$
+/* Bug 4607 */
+cf(1/sqrt(2));
+[0, 1, 2, 2, 2];
+
+cf([1,3]*[1,3]);
+[1, 1, 3, 2];
+
(reset (ratepsilon), 0);
0;
-----------------------------------------------------------------------
Summary of changes:
tests/rtest10.mac | 7 +++++++
1 file changed, 7 insertions(+)
hooks/post-receive
--
Maxima CAS
|
|
From: rtoy <rt...@us...> - 2025-09-09 15:17:10
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, bug-4607-cf-issues has been created
at 066bd4ad705cf0cd2557d9149bbbfc292f3330d8 (commit)
- Log -----------------------------------------------------------------
commit 066bd4ad705cf0cd2557d9149bbbfc292f3330d8
Author: Raymond Toy <toy...@gm...>
Date: Tue Sep 9 08:14:50 2025 -0700
Fix #4607: CF issues
This fixes the issues raised in bug #4607. This is the solution
provided by Michel Talon on the mailing list Sep 8, 2025. I applied
it unchanged.
diff --git a/src/combin.lisp b/src/combin.lisp
index f2b46865c..b70b66ccd 100644
--- a/src/combin.lisp
+++ b/src/combin.lisp
@@ -833,7 +833,7 @@
((floatp a)
(let ((a (maxima-rationalize a)))
(cons '(mlist cf) (ratcf (car a) (cdr a)))))
- (($bfloatp a)
+ ((and (eq (caar a) 'bigfloat) ($bfloatp a))
(let (($bftorat t))
(setq a (bigfloat2rat a))
(cons '(mlist cf) (ratcf (car a) (cdr a)))))
@@ -844,16 +844,23 @@
((eq (caar a) 'mlist)
(cfratsimp a))
;;the following doesn't work for non standard form
- ;; (cfplus a '((mlist) 0)))
- ((and (mtimesp a) (cddr a) (null (cdddr a))
+ ;; (cfplus a '((mlist) 0))) ??? seems to work
+ ((and (eq (caar a) 'mtimes) (mtimesp a) (cddr a) (null (cdddr a))
(fixnump (cadr a))
(mexptp (caddr a))
(fixnump (cadr (caddr a)))
(alike1 (caddr (caddr a)) '((rat) 1 2)))
(cfsqrt (cfeval (* (expt (cadr a) 2) (cadr (caddr a))))))
+ ;; case when a continuous fraction is raised to an integer power
+ ;; example ((MEXPT . #1=(SIMP)) ((MLIST . #1#) 1 3) 2)
+ ((and (eq (caar a) 'mexpt) (integerp (caddr a)) (> (caddr a) 0))
+ (cfexpt (cadr a) (caddr a)))
((eq (caar a) 'mexpt)
(cond ((alike1 (caddr a) '((rat) 1 2))
- (cfsqrt (cfeval (cadr a))))
+ (cfsqrt (cfeval (cadr a)))) ; square root of an integer
+ ((alike1 (caddr a) '((rat) -1 2))
+ (cfquot 1 (cfsqrt (cfeval (cadr a))))) ; inverse square root
+ ;;case when an integer is raised to some half integer power
((integerp (m* 2 (caddr a))) ; a^(n/2) was sqrt(a^n)
(cfsqrt (cfeval (cfexpt (cadr a) (m* 2 (caddr a))))))
((integerp (cadr a)) (cfnroot a)) ; <=== new case x
-----------------------------------------------------------------------
hooks/post-receive
--
Maxima CAS
|
|
From: rtoy <rt...@us...> - 2025-09-08 18:52:13
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, rtoy-highlightjs-dark-mode has been created
at 5d25a7ff85f81f4a4014341aa8bd2cc006eff666 (commit)
- Log -----------------------------------------------------------------
commit 5d25a7ff85f81f4a4014341aa8bd2cc006eff666
Author: Raymond Toy <toy...@gm...>
Date: Mon Sep 8 11:49:06 2025 -0700
Allow highlightjs to use github-dark when in dark mode.
For dark mode with highlightjs, we use github-dark (since we're using
github for light mode).
This is done by adding a new link tag to
HIGHLIGHT1 in configure.ac to specify github-dark when dark mode is
preferred. We also update the existing link to github to specify
light mode for this.
This doesn't look very good in dark mode, though because the default
example background is a dark gray.
But this is a step in supporting dark mode when using highlightjs for
the examples.
diff --git a/configure.ac b/configure.ac
index 7cb032981..34ce9a55c 100644
--- a/configure.ac
+++ b/configure.ac
@@ -745,7 +745,7 @@ if test x"${enable_build_docs}" = xtrue ; then
TEXI_EXTRA_TAIL=')'
fi
if test x${syntax_highlighting} = xhighlightjs; then
- HIGHLIGHT1='<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/styles/github.min.css"> <script src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/highlight.min.js"></script> <script src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/languages/maxima.min.js"> </script>
+ HIGHLIGHT1='<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/styles/github.min.css" media="(prefers-color-scheme: light)"> <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/styles/github-dark.min.css" media="(prefers-color-scheme: dark")> <script src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/highlight.min.js"></script> <script src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.10.0/languages/maxima.min.js"> </script>
'
HIGHLIGHT2="<script> hljs.configure({languages: [['Maxima']], cssSelector: ${HLJS_CSS_SELECTOR}}); hljs.highlightAll(); </script>
"
-----------------------------------------------------------------------
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From: rtoy <rt...@us...> - 2025-09-07 14:44:51
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
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The branch, master has been updated
via 1d2475070c8162d444ebba633bcf90db07023a70 (commit)
via e80b340145db2c0bc66579c385b42e705a106afe (commit)
via 428d4eb325e23eb4f70e974e2af19fd07214cdf1 (commit)
via 13f0dd47c1be13020c7c4145b5158b37481810ae (commit)
via a432b864aaf9d7f60af4be10ae67235b739e88b1 (commit)
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- Log -----------------------------------------------------------------
-----------------------------------------------------------------------
Summary of changes:
doc/info/trigtools.texi.m4 | 1422 ++++++++++++++++++++++++++++++--------------
1 file changed, 974 insertions(+), 448 deletions(-)
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From: rtoy <rt...@us...> - 2025-09-05 14:58:10
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, rtoy-trigtools-update-examples has been updated
via 1d2475070c8162d444ebba633bcf90db07023a70 (commit)
via e80b340145db2c0bc66579c385b42e705a106afe (commit)
from 428d4eb325e23eb4f70e974e2af19fd07214cdf1 (commit)
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- Log -----------------------------------------------------------------
commit 1d2475070c8162d444ebba633bcf90db07023a70
Author: Raymond Toy <toy...@gm...>
Date: Fri Sep 5 07:57:41 2025 -0700
Fix typo in example
We were loading trigtools twice in one example.
diff --git a/doc/info/trigtools.texi.m4 b/doc/info/trigtools.texi.m4
index 46021b7d2..036afea6e 100644
--- a/doc/info/trigtools.texi.m4
+++ b/doc/info/trigtools.texi.m4
@@ -1103,7 +1103,6 @@ Examples:
@item Values of trigonometric functions
@c ===beg===
@c load("trigtools")$
-@c load(trigtools)$
@c trigvalue(sin(%pi/10));
@c trigvalue(cos(%pi/10));
@c trigvalue(tan(%pi/10));
commit e80b340145db2c0bc66579c385b42e705a106afe
Author: Raymond Toy <toy...@gm...>
Date: Fri Sep 5 07:55:53 2025 -0700
Add more comment blocks for examples and regenerate them
We missed a few.
diff --git a/doc/info/trigtools.texi.m4 b/doc/info/trigtools.texi.m4
index cc1c061ed..46021b7d2 100644
--- a/doc/info/trigtools.texi.m4
+++ b/doc/info/trigtools.texi.m4
@@ -126,43 +126,80 @@ Examples:
Example. Solve trigonometric equation
-@example
+@c ===beg===
+@c eq:3*sin(x)+4*cos(x)=2;
+@c plot2d([3*sin(x)+4*cos(x),2],[x,-%pi,%pi]);
+@c ===end===
+@example maxima
@group
-(%i10) eq:3*sin(x)+4*cos(x)=2;
-(%o10) 3 sin(x) + 4 cos(x) = 2
+(%i1) eq:3*sin(x)+4*cos(x)=2;
+(%o1) 3 sin(x) + 4 cos(x) = 2
@end group
-
-(%i11) plot2d([3*sin(x)+4*cos(x),2],[x,-%pi,%pi]);
+@group
+(%i2) plot2d([3*sin(x)+4*cos(x),2],[x,-%pi,%pi]);
+(%o2) false
+@end group
+@end example
@center @image{figures/trigtools-1,5in,,plot1}
-(%i12) eq1:c2sin(lhs(eq))=2;
- 4
-(%o35) 5 sin(x + atan(-)) = 2
- 3
-(%i13) solvetrigwarn:false$
-(%i14) solve(eq1)[1]$ x1:rhs(%);
- 2 4
-(%o15) asin(-) - atan(-)
- 5 3
-(%i16) float(%), numer;
-(%o39) - 0.5157783719341241
-(%i17) eq2:c2cos(lhs(eq))=2;
- 3
-(%o17) 5 cos(x - atan(-)) = 2
-(%i18) solve(eq2,x)[1]$ x2:rhs(%);
- 3 2
-(%o19) atan(-) + acos(-)
- 4 5
-(%i20) float(%), numer;
-(%o20) 1.802780589520693
-
-(%i21) sol:[x1,x2];
- 2 4 3 2
-(%o44) [asin(-) - atan(-), atan(-) + acos(-)]
- 5 3 4 5
+@c ===beg===
+@c load("trigtools")$
+@c eq:3*sin(x)+4*cos(x)=2$
+@c eq1:c2sin(lhs(eq))=2;
+@c solvetrigwarn:false$
+@c solve(eq1)[1]$ x1:rhs(%);
+@c float(%), numer;
+@c eq2:c2cos(lhs(eq))=2;
+@c solve(eq2,x)[1]$ x2:rhs(%);
+@c float(%), numer;
+@c sol:[x1,x2];
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) eq:3*sin(x)+4*cos(x)=2$
+@group
+(%i3) eq1:c2sin(lhs(eq))=2;
+ 4
+(%o3) 5 sin(x + atan(-)) = 2
+ 3
+@end group
+(%i4) solvetrigwarn:false$
+@group
+(%i5) solve(eq1)[1]$ x1:rhs(%);
+ 2 4
+(%o6) asin(-) - atan(-)
+ 5 3
+@end group
+@group
+(%i7) float(%), numer;
+(%o7) - 0.5157783719341241
+@end group
+@group
+(%i8) eq2:c2cos(lhs(eq))=2;
+ 3
+(%o8) 5 cos(x - atan(-)) = 2
+ 4
+@end group
+@group
+(%i9) solve(eq2,x)[1]$ x2:rhs(%);
+ 3 2
+(%o10) atan(-) + acos(-)
+ 4 5
+@end group
+@group
+(%i11) float(%), numer;
+(%o11) 1.802780589520693
+@end group
+@group
+(%i12) sol:[x1,x2];
+ 2 4 3 2
+(%o12) [asin(-) - atan(-), atan(-) + acos(-)]
+ 5 3 4 5
+@end group
@end example
+
Answ.:
m4_mathcomma(<<<x = x_1 + 2\pi k>>>,<<<x = x1 + 2*%pi*k>>>)
m4_mathcomma(<<<x_1 = \sin^{-1}{2\over 5} - \tan^{-1}{4\over
@@ -245,13 +282,26 @@ Examples:
@end example
@item @w{ }
-@example
-(%i9) sin(a+b*%i);
-(%o9) sin(%i b + a)
-(%i10) trigexpand(%);
-(%o10) %i cos(a) sinh(b) + sin(a) cosh(b)
-(%i11) c2trig(%);
-(%o11) sin(%i b + a)
+@c ===beg===
+@c load("trigtools")$
+@c sin(a+b*%i);
+@c trigexpand(%);
+@c c2trig(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) sin(a+b*%i);
+(%o2) sin(%i b + a)
+@end group
+@group
+(%i3) trigexpand(%);
+(%o3) %i cos(a) sinh(b) + sin(a) cosh(b)
+@end group
+@group
+(%i4) c2trig(%);
+(%o4) sin(%i b + a)
+@end group
@end example
@item @w{ }
@@ -415,16 +465,22 @@ Examples:
@end example
@item @w{ }
-@example
+@c ===beg===
+@c load("trigtools")$
+@c trigfactor(sin(x)+cos(y));
+@c trigrat(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
@group
-(%i4) trigfactor(sin(x)+cos(y));
- y x %pi y x %pi
-(%o4) 2 cos(- - - + ---) cos(- + - - ---)
- 2 2 4 2 2 4
+(%i2) trigfactor(sin(x)+cos(y));
+ y x %pi y x %pi
+(%o2) 2 cos(- - - + ---) cos(- + - - ---)
+ 2 2 4 2 2 4
@end group
@group
-(%i5) trigrat(%);
-(%o5) cos(y) + sin(x)
+(%i3) trigrat(%);
+(%o3) cos(y) + sin(x)
@end group
@end example
@@ -492,11 +548,21 @@ Examples:
@end example
@item @w{ }
-@example
-(%i12) sin(alpha)-sin(beta)=trigfactor(sin(alpha)-sin(beta));
- beta alpha beta alpha
-(%o12) sin(alpha) - sin(beta) = - 2 sin(---- - -----) cos(---- + -----)
- 2 2 2 2
+@c ===beg===
+@c load("trigtools")$
+@c sin(alpha)-sin(beta)=trigfactor(sin(alpha)-sin(beta));
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) sin(alpha)-sin(beta)=trigfactor(sin(alpha)-sin(beta));
+ beta alpha
+(%o2) sin(alpha) - sin(beta) = - 2 sin(---- - -----)
+ 2 2
+ beta alpha
+ cos(---- + -----)
+ 2 2
+@end group
@end example
@item @w{ }
-----------------------------------------------------------------------
Summary of changes:
doc/info/trigtools.texi.m4 | 165 +++++++++++++++++++++++++++++++--------------
1 file changed, 115 insertions(+), 50 deletions(-)
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commit 428d4eb325e23eb4f70e974e2af19fd07214cdf1
Author: Raymond Toy <toy...@gm...>
Date: Thu Sep 4 19:23:03 2025 -0700
Add more comment blocks for examples and regenerate them
This is the last set.
diff --git a/doc/info/trigtools.texi.m4 b/doc/info/trigtools.texi.m4
index 0cc54718f..cc1c061ed 100644
--- a/doc/info/trigtools.texi.m4
+++ b/doc/info/trigtools.texi.m4
@@ -1035,171 +1035,237 @@ in radicals.
Examples:
@enumerate
@item Values of trigonometric functions
-@example
-(%i1) load(trigtools)$
+@c ===beg===
+@c load("trigtools")$
+@c load(trigtools)$
+@c trigvalue(sin(%pi/10));
+@c trigvalue(cos(%pi/10));
+@c trigvalue(tan(%pi/10));
+@c float(%), numer;
+@c float(tan(%pi/10)), numer;
+@c trigvalue(cot(%pi/10));
+@c float(%), numer;
+@c float(cot(%pi/10)), numer;
+@c trigvalue(sin(%pi/32));
+@c trigvalue(cos(%pi/32));
+@c trigvalue(cos(%pi/256));
+@c trigvalue(cos(%pi/60));
+@c trigvalue(sin(%pi/60));
+@c trigvalue(sin(%pi/18));
+@c trigvalue(sin(%pi/20));
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) load(trigtools)$
@group
-(%i2) trigvalue(sin(%pi/10));
- sqrt(5) - 1
-(%o2) -----------
- 4
+(%i3) trigvalue(sin(%pi/10));
+ sqrt(5) - 1
+(%o3) -----------
+ 4
+@end group
+@group
+(%i4) trigvalue(cos(%pi/10));
+ sqrt(sqrt(5) + 5)
+(%o4) -----------------
+ 3/2
+ 2
+@end group
+@group
+(%i5) trigvalue(tan(%pi/10));
+ sqrt(5 - 2 sqrt(5))
+(%o5) -------------------
+ sqrt(5)
+@end group
+@group
+(%i6) float(%), numer;
+(%o6) 0.3249196962329063
+@end group
+@group
+(%i7) float(tan(%pi/10)), numer;
+(%o7) 0.3249196962329063
+@end group
+@group
+(%i8) trigvalue(cot(%pi/10));
+(%o8) sqrt(2 sqrt(5) + 5)
+@end group
+@group
+(%i9) float(%), numer;
+(%o9) 3.0776835371752536
@end group
@group
-(%i3) trigvalue(cos(%pi/10));
- sqrt(sqrt(5) + 5)
-(%o3) -----------------
- 3/2
- 2
-@end group
-@group
-(%i4) trigvalue(tan(%pi/10));
- sqrt(5 - 2 sqrt(5))
-(%o4) -------------------
- sqrt(5)
-@end group
-(%i5) float(%), numer;
-(%o5) 0.3249196962329063
-(%i6) float(tan(%pi/10)), numer;
-(%o6) 0.3249196962329063
-(%i7) trigvalue(cot(%pi/10));
-(%o7) sqrt(2 sqrt(5) + 5)
-(%i8) float(%), numer;
-(%o8) 3.077683537175254
-(%i9) float(cot(%pi/10)), numer;
-(%o9) 3.077683537175254
-(%i10) trigvalue(sin(%pi/32));
- sqrt(2 - sqrt(sqrt(sqrt(2) + 2) + 2))
-(%o10) -------------------------------------
- 2
-(%i11) trigvalue(cos(%pi/32));
- sqrt(sqrt(sqrt(sqrt(2) + 2) + 2) + 2)
-(%o11) -------------------------------------
- 2
-(%i12) trigvalue(cos(%pi/256));
- sqrt(sqrt(sqrt(sqrt(sqrt(sqrt(sqrt(2) + 2) + 2) + 2) + 2) + 2) + 2)
-(%o12) -------------------------------------------------------------------
- 2
-(%i13) trigvalue(cos(%pi/60));
- sqrt(sqrt(sqrt(2) sqrt(3) sqrt(sqrt(5) + 5) + sqrt(5) + 7) + 4)
-(%o13) ---------------------------------------------------------------
- 3/2
- 2
-@group
-(%i14) trigvalue(sin(%pi/60));
- sqrt(4 - sqrt(sqrt(2) sqrt(3) sqrt(sqrt(5) + 5) + sqrt(5) + 7))
-(%o14) ---------------------------------------------------------------
- 3/2
- 2
-@end group
-@group
-(%i15) trigvalue(sin(%pi/18));
- %pi
-(%o15) sin(---)
- 18
-@end group
-@group
-(%i16) trigvalue(sin(%pi/20));
- sqrt(4 - sqrt(2) sqrt(sqrt(5) + 5))
-(%o16) -----------------------------------
- 3/2
- 2
+(%i10) float(cot(%pi/10)), numer;
+(%o10) 3.077683537175254
+@end group
+@group
+(%i11) trigvalue(sin(%pi/32));
+ sqrt(2 - sqrt(sqrt(sqrt(2) + 2) + 2))
+(%o11) -------------------------------------
+ 2
+@end group
+@group
+(%i12) trigvalue(cos(%pi/32));
+ sqrt(sqrt(sqrt(sqrt(2) + 2) + 2) + 2)
+(%o12) -------------------------------------
+ 2
+@end group
+@group
+(%i13) trigvalue(cos(%pi/256));
+(%o13) sqrt(sqrt(sqrt(sqrt(sqrt(sqrt(sqrt(2) + 2) + 2) + 2) + 2)
+ + 2) + 2)/2
+@end group
+@group
+(%i14) trigvalue(cos(%pi/60));
+(%o14)
+ sqrt(sqrt(sqrt(2) sqrt(3) sqrt(sqrt(5) + 5) + sqrt(5) + 7) + 4)
+ ---------------------------------------------------------------
+ 3/2
+ 2
+@end group
+@group
+(%i15) trigvalue(sin(%pi/60));
+(%o15)
+ sqrt(4 - sqrt(sqrt(2) sqrt(3) sqrt(sqrt(5) + 5) + sqrt(5) + 7))
+ ---------------------------------------------------------------
+ 3/2
+ 2
+@end group
+@group
+(%i16) trigvalue(sin(%pi/18));
+ %pi
+(%o16) sin(---)
+ 18
+@end group
+@group
+(%i17) trigvalue(sin(%pi/20));
+ sqrt(4 - sqrt(2) sqrt(sqrt(5) + 5))
+(%o17) -----------------------------------
+ 3/2
+ 2
@end group
@end example
@item ode example
-@example
-(%i17) load(odes)$
-@group
-(%i18) eq:'diff(y,x,5)+2*y=0;
- 5
- d y
-(%o18) --- + 2 y = 0
- 5
- dx
-@end group
-(%i19) odeL(eq,y,x);
-@group
- 1/5 4 %pi
- - 2 cos(-----) x
- 5 1/5 4 %pi
-(%o19) y = C5 %e sin(2 sin(-----) x)
- 5
- 1/5 4 %pi
- - 2 cos(-----) x
- 5 1/5 4 %pi
- + C4 %e cos(2 sin(-----) x)
+@c ===beg===
+@c load("trigtools")$
+@c load(odes)$
+@c eq:'diff(y,x,5)+2*y=0;
+@c odeL(eq,y,x);
+@c sol:trigeval(%);
+@c subst(sol,eq)$
+@c ev(%, nouns)$
+@c radcan(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) load(odes)$
+@group
+(%i3) eq:'diff(y,x,5)+2*y=0;
+ 5
+ d y
+(%o3) --- + 2 y = 0
+ 5
+ dx
+@end group
+@group
+(%i4) odeL(eq,y,x);
+ 1/5 4 %pi
+ - 2 cos(-----) x
+ 5 1/5 4 %pi
+(%o4) y = %e C5 sin(2 sin(-----) x)
+ 5
+ 1/5 4 %pi
+ - 2 cos(-----) x
+ 5 1/5 4 %pi
+ + %e C4 cos(2 sin(-----) x)
5
- 1/5 2 %pi
- - 2 cos(-----) x
- 5 1/5 2 %pi
- + C3 %e sin(2 sin(-----) x)
+ 1/5 2 %pi
+ - 2 cos(-----) x
+ 5 1/5 2 %pi
+ + %e C3 sin(2 sin(-----) x)
5
- 1/5 2 %pi
- - 2 cos(-----) x 1/5
- 5 1/5 2 %pi - 2 x
- + C2 %e cos(2 sin(-----) x) + C1 %e
+ 1/5 2 %pi
+ - 2 cos(-----) x
+ 5 1/5 2 %pi
+ + %e C2 cos(2 sin(-----) x)
5
-@end group
-@group
-(%i20) sol:trigeval(%);
- (sqrt(5) - 1) x
- - ---------------
- 9/5
- 2 sqrt(sqrt(5) + 5) x
-(%o20) y = C3 %e sin(-------------------)
- 13/10
- 2
- (sqrt(5) - 1) x
- - ---------------
- 9/5
- 2 sqrt(sqrt(5) + 5) x
- + C2 %e cos(-------------------)
+ 1/5
+ - 2 x
+ + %e C1
+@end group
+@group
+(%i5) sol:trigeval(%);
+ (sqrt(5) - 1) x
+ - ---------------
+ 9/5
+ 2 sqrt(sqrt(5) + 5) x
+(%o5) y = %e C3 sin(-------------------)
+ 13/10
+ 2
+ (sqrt(5) - 1) x
+ - ---------------
+ 9/5
+ 2 sqrt(sqrt(5) + 5) x
+ + %e C2 cos(-------------------)
13/10
2
- (sqrt(5) + 1) x
- ---------------
- 9/5
- 2 sqrt(5 - sqrt(5)) x
- + C5 %e sin(-------------------)
+ (sqrt(5) + 1) x
+ ---------------
+ 9/5
+ 2 sqrt(5 - sqrt(5)) x
+ + %e C5 sin(-------------------)
13/10
2
- (sqrt(5) + 1) x
- ---------------
- 9/5 1/5
- 2 sqrt(5 - sqrt(5)) x - 2 x
- + C4 %e cos(-------------------) + C1 %e
+ (sqrt(5) + 1) x
+ ---------------
+ 9/5 1/5
+ 2 sqrt(5 - sqrt(5)) x - 2 x
+ + %e C4 cos(-------------------) + %e C1
13/10
2
@end group
-(%i21) subst(sol,eq)$
-(%i22) ev(%, nouns)$
-(%i23) radcan(%);
-(%o23) 0 = 0
+(%i6) subst(sol,eq)$
+(%i7) ev(%, nouns)$
+@group
+(%i8) radcan(%);
+(%o8) 0 = 0
+@end group
@end example
@item n-th root of complex number
Example. Find the 4-th roots of %i
-@example
-(%i24) solve(x^4=%i,x);
- 1/8 1/8 1/8 1/8
-(%o24) [x = (- 1) %i, x = - (- 1) , x = - (- 1) %i, x = (- 1) ]
-@group
-(%i25) rectform(%);
- %pi %pi %pi %pi
-(%o25) [x = %i cos(---) - sin(---), x = (- %i sin(---)) - cos(---),
- 8 8 8 8
- %pi %pi %pi %pi
- x = sin(---) - %i cos(---), x = %i sin(---) + cos(---)]
- 8 8 8 8
-@end group
-@group
-(%i26) trigeval(%);
- sqrt(sqrt(2) + 2) %i sqrt(2 - sqrt(2))
-(%o26) [x = -------------------- - -----------------,
- 2 2
- sqrt(2 - sqrt(2)) %i sqrt(sqrt(2) + 2)
-x = (- --------------------) - -----------------,
- 2 2
+@c ===beg===
+@c load("trigtools")$
+@c solve(x^4=%i,x);
+@c rectform(%);
+@c trigeval(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) solve(x^4=%i,x);
+ 1/8 1/8 1/8
+(%o2) [x = (- 1) %i, x = - (- 1) , x = - (- 1) %i,
+ 1/8
+ x = (- 1) ]
+@end group
+@group
+(%i3) rectform(%);
+ %pi %pi %pi %pi
+(%o3) [x = %i cos(---) - sin(---), x = - %i sin(---) - cos(---),
+ 8 8 8 8
+ %pi %pi %pi %pi
+ x = sin(---) - %i cos(---), x = %i sin(---) + cos(---)]
+ 8 8 8 8
+@end group
+@group
+(%i4) trigeval(%);
+ sqrt(sqrt(2) + 2) %i sqrt(2 - sqrt(2))
+(%o4) [x = -------------------- - -----------------,
+ 2 2
+ sqrt(2 - sqrt(2)) %i sqrt(sqrt(2) + 2)
+x = - -------------------- - -----------------,
+ 2 2
sqrt(2 - sqrt(2)) sqrt(sqrt(2) + 2) %i
x = ----------------- - --------------------,
2 2
@@ -1228,45 +1294,78 @@ m4_mathdot(<<<|r| < {\pi\over 2}>>>, <<<abs(r)<%pi/2>>>)
Examples:
-@example
-(%i1) load(trigtools)$
-@end example
@enumerate
@item @w{ }
-@example
+@c ===beg===
+@c load("trigtools")$
+@c atan_contract(atan(x)+atan(y));
+@c assume(abs(atan(x)+atan(y))<%pi/2)$
+@c atan(x)+atan(y)=atan_contract(atan(x)+atan(y));
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
(%i2) atan_contract(atan(x)+atan(y));
-(%o2) atan(y) + atan(x)
+(%o2) atan(y) + atan(x)
+@end group
(%i3) assume(abs(atan(x)+atan(y))<%pi/2)$
+@group
(%i4) atan(x)+atan(y)=atan_contract(atan(x)+atan(y));
- y + x
-(%o4) atan(y) + atan(x) = atan(-------)
- 1 - x y
+ y + x
+(%o4) atan(y) + atan(x) = atan(-------)
+ 1 - x y
+@end group
@end example
@item @w{ }
-@example
-(%i5) atan(1/3)+atan(1/5)+atan(1/7)+atan(1/8)$ %=atan_contract(%);
- 1 1 1 1 %pi
-(%o6) atan(-) + atan(-) + atan(-) + atan(-) = ---
- 3 5 7 8 4
+@c ===beg===
+@c load("trigtools")$
+@c atan(1/3)+atan(1/5)+atan(1/7)+atan(1/8)$ %=atan_contract(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) atan(1/3)+atan(1/5)+atan(1/7)+atan(1/8)$ %=atan_contract(%);
+ 1 1 1 1 %pi
+(%o3) atan(-) + atan(-) + atan(-) + atan(-) = ---
+ 3 5 7 8 4
+@end group
@end example
@item Machin's formulae
-@example
-(%i7) 4*atan(1/5)-atan(1/239)=atan_contract(4*atan(1/5)-atan(1/239));
- 1 1 %pi
-(%o7) 4 atan(-) - atan(---) = ---
- 5 239 4
+@c ===beg===
+@c load("trigtools")$
+@c 4*atan(1/5)-atan(1/239)=atan_contract(4*atan(1/5)-atan(1/239));
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) 4*atan(1/5)-atan(1/239)=atan_contract(4*atan(1/5)-atan(1/239));
+ 1 1 %pi
+(%o2) 4 atan(-) - atan(---) = ---
+ 5 239 4
+@end group
@end example
@item see @url{https://en.wikipedia.org/wiki/Machin-like_formula}
-@example
-(%i8) 12*atan(1/49)+32*atan(1/57)-5*atan(1/239)+12*atan(1/110443)$
-%=atan_contract(%);
- 1 1 1 1 %pi
-(%o9) 12 atan(--) + 32 atan(--) - 5 atan(---) + 12 atan(------) = ---
- 49 57 239 110443 4
+@c ===beg===
+@c load("trigtools")$
+@c 12*atan(1/49)+32*atan(1/57)-5*atan(1/239)+12*atan(1/110443)$
+@c %=atan_contract(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) 12*atan(1/49)+32*atan(1/57)-5*atan(1/239)+12*atan(1/110443)$
+@group
+(%i3) %=atan_contract(%);
+ 1 1 1
+(%o3) 12 atan(--) + 32 atan(--) - 5 atan(---)
+ 49 57 239
+ 1 %pi
+ + 12 atan(------) = ---
+ 110443 4
+@end group
@end example
@end enumerate
commit 13f0dd47c1be13020c7c4145b5158b37481810ae
Author: Raymond Toy <toy...@gm...>
Date: Thu Sep 4 19:12:28 2025 -0700
Add more comment blocks for examples and regenerate them
There are still many left to do.
diff --git a/doc/info/trigtools.texi.m4 b/doc/info/trigtools.texi.m4
index 11ab4969e..0cc54718f 100644
--- a/doc/info/trigtools.texi.m4
+++ b/doc/info/trigtools.texi.m4
@@ -796,57 +796,108 @@ m4_mathcomma(<<<x = a + 2\pi k>>>, <<<x = a+2*%pi*k>>>)
where @math{a} any from @math{S}, @math{k} any integer.
@item @w{ }
-@example
-(%i19) eq:8*cos(x)*cos(4*x)*cos(5*x)-1=0;
-(%o19) 8 cos(x) cos(4 x) cos(5 x) - 1 = 0
-
-(%i20) trigrat(%);
-(%o20) 2 cos(10 x) + 2 cos(8 x) + 2 cos(2 x) + 1 = 0
+@c ===beg===
+@c load("trigtools")$
+@c eq:8*cos(x)*cos(4*x)*cos(5*x)-1=0;
+@c trigrat(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) eq:8*cos(x)*cos(4*x)*cos(5*x)-1=0;
+(%o2) 8 cos(x) cos(4 x) cos(5 x) - 1 = 0
+@end group
+@group
+(%i3) trigrat(%);
+(%o3) 2 cos(10 x) + 2 cos(8 x) + 2 cos(2 x) + 1 = 0
+@end group
@end example
Left side is periodic with period
m4_mathdot(<<<T=\pi>>>, <<<T=%pi>>>)
We have 10 solutions from [0, pi].
-@example
-(%i21) plot2d([lhs(eq),rhs(eq)],[x,0,%pi]);
+@c ===beg===
+@c load("trigtools")$
+@c eq:8*cos(x)*cos(4*x)*cos(5*x)-1=0$
+@c plot2d([lhs(eq),rhs(eq)],[x,0,%pi]);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) eq:8*cos(x)*cos(4*x)*cos(5*x)-1=0$
+@group
+(%i3) plot2d([lhs(eq),rhs(eq)],[x,0,%pi]);
+(%o3) false
+@end group
+@end example
@center @image{figures/trigtools-6,5in,,plot6}
-(%i22) x4:find_root(eq, x, 1.3, 1.32);
-(%o22) 1.308996938995747
-(%i23) x5:find_root(eq, x, 1.32, 1.35);
-(%o23) 1.346396851538483
-(%i24) plot2d([lhs(eq),0], [x,1.3,1.35], [gnuplot_preamble, "set grid;"]);
+@c ===beg===
+@c load("trigtools")$
+@c eq:8*cos(x)*cos(4*x)*cos(5*x)-1=0$
+@c x4:find_root(eq, x, 1.3, 1.32);
+@c x5:find_root(eq, x, 1.32, 1.35);
+@c plot2d([lhs(eq),0], [x,1.3,1.35], [gnuplot_preamble, "set grid;"]);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) eq:8*cos(x)*cos(4*x)*cos(5*x)-1=0$
+@group
+(%i3) x4:find_root(eq, x, 1.3, 1.32);
+(%o3) 1.3089969389957472
+@end group
+@group
+(%i4) x5:find_root(eq, x, 1.32, 1.35);
+(%o4) 1.3463968515384828
+@end group
+@group
+(%i5) plot2d([lhs(eq),0], [x,1.3,1.35], [gnuplot_preamble, "set grid;"]);
+(%o5) false
+@end group
+@end example
@center @image{figures/trigtools-7,5in,,plot7}
-@end example
-
Equation we multiply by
m4_mathpunc(:, <<<2\sin x\cos 2x>>>, <<<2*sin(x)*cos(2*x)>>>)
-@example
-(%i25) eq*2*sin(x)*cos(2*x);
-(%o25) 2 sin(x) cos(2 x) (8 cos(x) cos(4 x) cos(5 x) - 1) = 0
-(%i26) eq1:trigreduce(%),expand;
-(%o26) sin(13 x) + sin(x) = 0
+@c ===beg===
+@c load("trigtools")$
+@c eq:8*cos(x)*cos(4*x)*cos(5*x)-1=0$
+@c eq*2*sin(x)*cos(2*x);
+@c eq1:trigreduce(%),expand;
+@c trigfactor(lhs(eq1))=0;
+@c S1:trigsolve(cos(6*x),0,%pi);
+@c S2:trigsolve(sin(7*x),0,%pi);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) eq:8*cos(x)*cos(4*x)*cos(5*x)-1=0$
@group
-(%i27) trigfactor(lhs(eq1))=0;
-(%o27) 2 cos(6 x) sin(7 x) = 0
+(%i3) eq*2*sin(x)*cos(2*x);
+(%o3) 2 sin(x) cos(2 x) (8 cos(x) cos(4 x) cos(5 x) - 1) = 0
@end group
@group
-(%i28) S1:trigsolve(cos(6*x),0,%pi);
- %pi %pi 5 %pi 7 %pi 3 %pi 11 %pi
-(%o28) @{---, ---, -----, -----, -----, ------@}
- 12 4 12 12 4 12
+(%i4) eq1:trigreduce(%),expand;
+(%o4) sin(13 x) + sin(x) = 0
@end group
@group
-(%i29) S2:trigsolve(sin(7*x),0,%pi);
- %pi 2 %pi 3 %pi 4 %pi 5 %pi 6 %pi
-(%o29) @{0, ---, -----, -----, -----, -----, -----@}
- 7 7 7 7 7 7
+(%i5) trigfactor(lhs(eq1))=0;
+(%o5) 2 cos(6 x) sin(7 x) = 0
+@end group
+@group
+(%i6) S1:trigsolve(cos(6*x),0,%pi);
+ %pi %pi 5 %pi 7 %pi 3 %pi 11 %pi
+(%o6) @{---, ---, -----, -----, -----, ------@}
+ 12 4 12 12 4 12
+@end group
+@group
+(%i7) S2:trigsolve(sin(7*x),0,%pi);
+ %pi 2 %pi 3 %pi 4 %pi 5 %pi 6 %pi
+(%o7) @{0, ---, -----, -----, -----, -----, -----@}
+ 7 7 7 7 7 7
@end group
@end example
@@ -855,37 +906,78 @@ m4_math(<<<\sin x = 0>>>, <<<sin(x)=0>>>)
and
m4_mathdot(<<<\cos 2x = 0>>>, <<<cos(2*x) = 0>>>)
-@example
-(%i30) S3:trigsolve(sin(x),0,%pi);
-(%o30) @{0@}
-(%i31) S4:trigsolve(cos(2*x),0,%pi);
- %pi 3 %pi
-(%o31) @{---, -----@}
- 4 4
+@c ===beg===
+@c load("trigtools")$
+@c S1:trigsolve(cos(6*x),0,%pi)$
+@c S2:trigsolve(sin(7*x),0,%pi)$
+@c S3:trigsolve(sin(x),0,%pi);
+@c S4:trigsolve(cos(2*x),0,%pi);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) S1:trigsolve(cos(6*x),0,%pi)$
+(%i3) S2:trigsolve(sin(7*x),0,%pi)$
+@group
+(%i4) S3:trigsolve(sin(x),0,%pi);
+(%o4) @{0@}
+@end group
+@group
+(%i5) S4:trigsolve(cos(2*x),0,%pi);
+ %pi 3 %pi
+(%o5) @{---, -----@}
+ 4 4
+@end group
@end example
We find 10 solutions from
m4_mathpunc(:,<<<[0, \pi]>>>,<<<[0, %pi]>>>)
-@example
+@c ===beg===
+@c load("trigtools")$
+@c S1:trigsolve(cos(6*x),0,%pi)$
+@c S2:trigsolve(sin(7*x),0,%pi)$
+@c S3:trigsolve(sin(x),0,%pi)$
+@c S4:trigsolve(cos(2*x),0,%pi)$
+@c union(S1,S2)$ setdifference(%,S3)$ setdifference(%,S4);
+@c S:listify(%);
+@c length(S);
+@c float(S), numer;
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) S1:trigsolve(cos(6*x),0,%pi)$
+(%i3) S2:trigsolve(sin(7*x),0,%pi)$
+(%i4) S3:trigsolve(sin(x),0,%pi)$
+(%i5) S4:trigsolve(cos(2*x),0,%pi)$
+@group
+(%i6) union(S1,S2)$ setdifference(%,S3)$ setdifference(%,S4);
+ %pi %pi 2 %pi 5 %pi 3 %pi 4 %pi 7 %pi 5 %pi
+(%o8) @{---, ---, -----, -----, -----, -----, -----, -----,
+ 12 7 7 12 7 7 12 7
+ 6 %pi 11 %pi
+ -----, ------@}
+ 7 12
+@end group
+@group
+(%i9) S:listify(%);
+ %pi %pi 2 %pi 5 %pi 3 %pi 4 %pi 7 %pi 5 %pi
+(%o9) [---, ---, -----, -----, -----, -----, -----, -----,
+ 12 7 7 12 7 7 12 7
+ 6 %pi 11 %pi
+ -----, ------]
+ 7 12
+@end group
@group
-(%i32) union(S1,S2)$ setdifference(%,S3)$ setdifference(%,S4);
- %pi %pi 2 %pi 5 %pi 3 %pi 4 %pi 7 %pi 5 %pi 6 %pi 11 %pi
-(%o34) @{---, ---, -----, -----, -----, -----, -----, -----, -----, ------@}
- 12 7 7 12 7 7 12 7 7 12
+(%i10) length(S);
+(%o10) 10
@end group
@group
-(%i35) S:listify(%);
- %pi %pi 2 %pi 5 %pi 3 %pi 4 %pi 7 %pi 5 %pi 6 %pi 11 %pi
-(%o35) [---, ---, -----, -----, -----, -----, -----, -----, -----, ------]
- 12 7 7 12 7 7 12 7 7 12
+(%i11) float(S), numer;
+(%o11) [0.2617993877991494, 0.4487989505128276,
+0.8975979010256552, 1.3089969389957472, 1.3463968515384828,
+1.7951958020513104, 1.8325957145940461, 2.243994752564138,
+2.6927937030769655, 2.8797932657906435]
@end group
-(%i36) length(S);
-(%o36) 10
-(%i37) float(S), numer;
-(%o37) [0.2617993877991494, 0.4487989505128276, 0.8975979010256552,
-1.308996938995747, 1.346396851538483, 1.79519580205131, 1.832595714594046,
-2.243994752564138, 2.692793703076966, 2.879793265790644]
@end example
Answer:
m4_mathcomma(<<<x = a + 2\pi k>>>, <<<x = a+2*%pi*k>>>)
-----------------------------------------------------------------------
Summary of changes:
doc/info/trigtools.texi.m4 | 629 +++++++++++++++++++++++++++++----------------
1 file changed, 410 insertions(+), 219 deletions(-)
hooks/post-receive
--
Maxima CAS
|
|
From: rtoy <rt...@us...> - 2025-09-04 22:53:32
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, rtoy-trigtools-update-examples has been created
at a432b864aaf9d7f60af4be10ae67235b739e88b1 (commit)
- Log -----------------------------------------------------------------
commit a432b864aaf9d7f60af4be10ae67235b739e88b1
Author: Raymond Toy <toy...@gm...>
Date: Thu Sep 4 15:52:08 2025 -0700
Add more comment blocks for examples and regenerate them
There are still many left to do.
diff --git a/doc/info/trigtools.texi.m4 b/doc/info/trigtools.texi.m4
index cb46c63d4..11ab4969e 100644
--- a/doc/info/trigtools.texi.m4
+++ b/doc/info/trigtools.texi.m4
@@ -600,21 +600,42 @@ m4_mathdot(<<<[a,b)>>>, <<<[a, b)>>>)
Examples:
@enumerate
@item @w{ }
-@example
-(%i38) eq:eq:3*sin(x)+4*cos(x)=2;
-(%o38) 3 sin(x) + 4 cos(x) = 2
-
-(%i39) plot2d([3*sin(x)+4*cos(x),2],[x,-%pi,%pi]);
+@c ===beg===
+@c eq:eq:3*sin(x)+4*cos(x)=2;
+@c plot2d([3*sin(x)+4*cos(x),2],[x,-%pi,%pi]);
+@c ===end===
+@example maxima
+@group
+(%i1) eq:eq:3*sin(x)+4*cos(x)=2;
+(%o1) 3 sin(x) + 4 cos(x) = 2
+@end group
+@group
+(%i2) plot2d([3*sin(x)+4*cos(x),2],[x,-%pi,%pi]);
+(%o2) false
+@end group
+@end example
@center @image{figures/trigtools-2,5in,,plot2}
-(%o39)
-(%i40) sol:trigsolve(eq,-%pi,%pi);
- 2 sqrt(21) 12 2 sqrt(21) 12
-(%o40) @{atan(---------- - --), %pi - atan(---------- + --)@}
- 5 5 5 5
-(%i41) float(%), numer;
-(%o41) @{- 0.5157783719341241, 1.802780589520693@}
+@c ===beg===
+@c load("trigtools")$
+@c eq:eq:3*sin(x)+4*cos(x)=2$
+@c sol:trigsolve(eq,-%pi,%pi);
+@c float(%), numer;
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) eq:eq:3*sin(x)+4*cos(x)=2$
+@group
+(%i3) sol:trigsolve(eq,-%pi,%pi);
+ 2 sqrt(21) 12 2 sqrt(21) 12
+(%o3) @{atan(---------- - --), %pi - atan(---------- + --)@}
+ 5 5 5 5
+@end group
+@group
+(%i4) float(%), numer;
+(%o4) @{- 0.5157783719341241, 1.8027805895206928@}
+@end group
@end example
Answ. :
@@ -627,70 +648,147 @@ m4_mathcomma(<<<x = \pi - \tan^{-1}\left({2\sqrt{21}\over 5} +
@math{k} -- any integer.
@item @w{ }
-@example
-(%i6) eq:cos(3*x)-sin(x)=sqrt(3)*(cos(x)-sin(3*x));
-(%o6) cos(3 x) - sin(x) = sqrt(3) (cos(x) - sin(3 x))
-(%i7) plot2d([lhs(eq)-rhs(eq)], [x,0,2*%pi])$
+@c ===beg===
+@c load("trigtools")$
+@c eq:cos(3*x)-sin(x)=sqrt(3)*(cos(x)-sin(3*x));
+@c plot2d([lhs(eq)-rhs(eq)], [x,0,2*%pi])$
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) eq:cos(3*x)-sin(x)=sqrt(3)*(cos(x)-sin(3*x));
+(%o2) cos(3 x) - sin(x) = sqrt(3) (cos(x) - sin(3 x))
+@end group
+(%i3) plot2d([lhs(eq)-rhs(eq)], [x,0,2*%pi])$
+@end example
@center @image{figures/trigtools-3,5in,,plot3}
-@end example
-
We have 6 solutions from [0, 2*pi].
-@example
-(%i8) plot2d([lhs(eq)-rhs(eq)], [x,0.2,0.5]);
+@c ===beg===
+@c load("trigtools")$
+@c eq:cos(3*x)-sin(x)=sqrt(3)*(cos(x)-sin(3*x))$
+@c plot2d([lhs(eq)-rhs(eq)], [x,0.2,0.5])$
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) eq:cos(3*x)-sin(x)=sqrt(3)*(cos(x)-sin(3*x))$
+(%i3) plot2d([lhs(eq)-rhs(eq)], [x,0.2,0.5])$
+@end example
@center @image{figures/trigtools-4,5in,,plot4}
-(%i9) plot2d([lhs(eq)-rhs(eq)], [x,3.3,3.6]);
+@c ===beg===
+@c load("trigtools")$
+@c load("trigtools")$
+@c eq:cos(3*x)-sin(x)=sqrt(3)*(cos(x)-sin(3*x))$
+@c plot2d([lhs(eq)-rhs(eq)], [x,3.3,3.6])$
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) load("trigtools")$
+(%i3) eq:cos(3*x)-sin(x)=sqrt(3)*(cos(x)-sin(3*x))$
+(%i4) plot2d([lhs(eq)-rhs(eq)], [x,3.3,3.6])$
+@end example
@center @image{figures/trigtools-5,5in,,plot4}
-(%i10) trigfactor(lhs(eq))=map(trigfactor,rhs(eq));
- %pi %pi %pi %pi
-(%o15) - 2 sin(x + ---) sin(2 x - ---) = 2 sqrt(3) sin(x - ---) sin(2 x - ---)
- 4 4 4 4
-(%i11) factor(lhs(%)-rhs(%));
- 4 x + %pi 4 x - %pi 8 x - %pi
-(%o11) - 2 (sin(---------) + sqrt(3) sin(---------)) sin(---------)
- 4 4 4
+@c ===beg===
+@c load("trigtools")$
+@c eq:cos(3*x)-sin(x)=sqrt(3)*(cos(x)-sin(3*x))$
+@c trigfactor(lhs(eq))=map(trigfactor,rhs(eq));
+@c factor(lhs(%)-rhs(%));
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) eq:cos(3*x)-sin(x)=sqrt(3)*(cos(x)-sin(3*x))$
+@group
+(%i3) trigfactor(lhs(eq))=map(trigfactor,rhs(eq));
+ %pi %pi
+(%o3) - 2 sin(x + ---) sin(2 x - ---) =
+ 4 4
+ %pi %pi
+ 2 sqrt(3) sin(x - ---) sin(2 x - ---)
+ 4 4
+@end group
+@group
+(%i4) factor(lhs(%)-rhs(%));
+ 4 x + %pi 4 x - %pi
+(%o4) - 2 (sin(---------) + sqrt(3) sin(---------))
+ 4 4
+ 8 x - %pi
+ sin(---------)
+ 4
+@end group
@end example
Equation is equivalent to
-@example
+@c ===beg===
+@c load("trigtools")$
+@c eq:cos(3*x)-sin(x)=sqrt(3)*(cos(x)-sin(3*x))$
+@c trigfactor(lhs(eq))=map(trigfactor,rhs(eq));
+@c L:factor(rhs(%)-lhs(%));
+@c eq1:part(L,2)=0;
+@c eq2:part(L,3)=0;
+@c S1:trigsolve(eq1,0,2*%pi);
+@c S2:trigsolve(eq2,0,2*%pi);
+@c S:listify(union(S1,S2));
+@c float(%), numer;
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+(%i2) eq:cos(3*x)-sin(x)=sqrt(3)*(cos(x)-sin(3*x))$
+@group
+(%i3) trigfactor(lhs(eq))=map(trigfactor,rhs(eq));
+ %pi %pi
+(%o3) - 2 sin(x + ---) sin(2 x - ---) =
+ 4 4
+ %pi %pi
+ 2 sqrt(3) sin(x - ---) sin(2 x - ---)
+ 4 4
+@end group
+@group
+(%i4) L:factor(rhs(%)-lhs(%));
+ 4 x + %pi 4 x - %pi 8 x - %pi
+(%o4) 2 (sin(---------) + sqrt(3) sin(---------)) sin(---------)
+ 4 4 4
+@end group
+@group
+(%i5) eq1:part(L,2)=0;
+ 4 x + %pi 4 x - %pi
+(%o5) sin(---------) + sqrt(3) sin(---------) = 0
+ 4 4
+@end group
@group
-(%i12) L:factor(rhs(%)-lhs(%));
- 4 x + %pi 4 x - %pi 8 x - %pi
-(%o12) 2 (sin(---------) + sqrt(3) sin(---------)) sin(---------)
- 4 4 4
-@end group
-@group
-(%i13) eq1:part(L,2)=0;
- 4 x + %pi 4 x - %pi
-(%o13) sin(---------) + sqrt(3) sin(---------) = 0
- 4 4
-@end group
-@group
-(%i14) eq2:part(L,3)=0;
- 8 x - %pi
-(%o14) sin(---------) = 0
- 4
-@end group
-(%i15) S1:trigsolve(eq1,0,2*%pi);
- %pi 13 %pi
-(%o15) @{---, ------@}
- 12 12
-(%i16) S2:trigsolve(eq2,0,2*%pi);
- %pi 5 %pi 9 %pi 13 %pi
-(%o16) @{---, -----, -----, ------@}
- 8 8 8 8
-(%i17) S:listify(union(S1,S2));
- %pi %pi 5 %pi 13 %pi 9 %pi 13 %pi
-(%o17) [---, ---, -----, ------, -----, ------]
- 12 8 8 12 8 8
-(%i18) float(%), numer;
-(%o18) [0.2617993877991494, 0.3926990816987241, 1.963495408493621,
- 3.403392041388942, 3.534291735288517, 5.105088062083414]
+(%i6) eq2:part(L,3)=0;
+ 8 x - %pi
+(%o6) sin(---------) = 0
+ 4
+@end group
+@group
+(%i7) S1:trigsolve(eq1,0,2*%pi);
+ %pi 13 %pi
+(%o7) @{---, ------@}
+ 12 12
+@end group
+@group
+(%i8) S2:trigsolve(eq2,0,2*%pi);
+ %pi 5 %pi 9 %pi 13 %pi
+(%o8) @{---, -----, -----, ------@}
+ 8 8 8 8
+@end group
+@group
+(%i9) S:listify(union(S1,S2));
+ %pi %pi 5 %pi 13 %pi 9 %pi 13 %pi
+(%o9) [---, ---, -----, ------, -----, ------]
+ 12 8 8 12 8 8
+@end group
+@group
+(%i10) float(%), numer;
+(%o10) [0.2617993877991494, 0.39269908169872414,
+1.9634954084936207, 3.4033920413889422, 3.5342917352885173,
+5.105088062083414]
+@end group
@end example
Answer:
commit 75f7ba5205921ccf11d6dce83148934b69f8b4e3
Author: Raymond Toy <toy...@gm...>
Date: Thu Sep 4 15:29:42 2025 -0700
Add new comment blocks for examples and regenerate them
There are still many left to do.
diff --git a/doc/info/trigtools.texi.m4 b/doc/info/trigtools.texi.m4
index 949e818a0..cb46c63d4 100644
--- a/doc/info/trigtools.texi.m4
+++ b/doc/info/trigtools.texi.m4
@@ -69,40 +69,58 @@ m4_mathdot(<<<r\cos(x-\phi)>>>, <<<@math{r*cos(x-phi)}>>>)
@code{load("trigtools")} loads these functions.
Examples:
-@example
+@c ===beg===
+@c load("trigtools")$
+@c c2sin(3*sin(x)+4*cos(x));
+@c trigexpand(%),expand;
+@c c2cos(3*sin(x)-4*cos(x));
+@c trigexpand(%),expand;
+@c c2sin(sin(x)+cos(x));
+@c trigexpand(%),expand;
+@c c2cos(sin(x)+cos(x));
+@c trigexpand(%),expand;
+@c ===end===
+@example maxima
(%i1) load("trigtools")$
+@group
(%i2) c2sin(3*sin(x)+4*cos(x));
- 4
-(%o2) 5 sin(x + atan(-))
- 3
+ 4
+(%o2) 5 sin(x + atan(-))
+ 3
+@end group
+@group
(%i3) trigexpand(%),expand;
-(%o3) 3 sin(x) + 4 cos(x)
-
+(%o3) 3 sin(x) + 4 cos(x)
+@end group
@group
(%i4) c2cos(3*sin(x)-4*cos(x));
- 3
-(%o4) - 5 cos(x + atan(-))
- 4
+ 3
+(%o4) - 5 cos(x + atan(-))
+ 4
@end group
@group
(%i5) trigexpand(%),expand;
-(%o5) 3 sin(x) - 4 cos(x)
+(%o5) 3 sin(x) - 4 cos(x)
@end group
@group
(%i6) c2sin(sin(x)+cos(x));
- %pi
-(%o6) sqrt(2) sin(x + ---)
- 4
+ %pi
+(%o6) sqrt(2) sin(x + ---)
+ 4
@end group
+@group
(%i7) trigexpand(%),expand;
-(%o7) sin(x) + cos(x)
+(%o7) sin(x) + cos(x)
+@end group
+@group
(%i8) c2cos(sin(x)+cos(x));
- %pi
-(%o8) sqrt(2) cos(x - ---)
- 4
+ %pi
+(%o8) sqrt(2) cos(x - ---)
+ 4
+@end group
@group
(%i9) trigexpand(%),expand;
-(%o9) sin(x) + cos(x)
+(%o9) sin(x) + cos(x)
@end group
@end example
@@ -176,26 +194,54 @@ Examples:
@enumerate
@item @w{ }
-@example
+@c ===beg===
+@c load(trigtools)$
+@c sinh(x)=c2trig(sinh(x));
+@c cosh(x)=c2trig(cosh(x));
+@c tanh(x)=c2trig(tanh(x));
+@c coth(x)=c2trig(coth(x));
+@c ===end===
+@example maxima
(%i1) load(trigtools)$
+@group
(%i2) sinh(x)=c2trig(sinh(x));
-cosh(x)=c2trig(cosh(x));
-tanh(x)=c2trig(tanh(x));
-coth(x)=c2trig(coth(x));
-(%o2) sinh(x) = - %i sin(%i x)
-(%o3) cosh(x) = cos(%i x)
-(%o4) tanh(x) = - %i tan(%i x)
-(%o5) coth(x) = %i cot(%i x)
+(%o2) sinh(x) = - %i sin(%i x)
+@end group
+@group
+(%i3) cosh(x)=c2trig(cosh(x));
+(%o3) cosh(x) = cos(%i x)
+@end group
+@group
+(%i4) tanh(x)=c2trig(tanh(x));
+(%o4) tanh(x) = - %i tan(%i x)
+@end group
+@group
+(%i5) coth(x)=c2trig(coth(x));
+(%o5) coth(x) = %i cot(%i x)
+@end group
@end example
@item see @url{https://maxima.sourceforge.io/ext/list_archives/2013/msg03230.html}
-@example
-(%i6) cos(p+q*%i);
-(%o6) cos(%i q + p)
-(%i7) trigexpand(%);
-(%o7) cos(p) cosh(q) - %i sin(p) sinh(q)
-(%i8) c2trig(%);
-(%o8) cos(%i q + p)
+@c ===beg===
+@c load("trigtools")$
+@c cos(p+q*%i);
+@c trigexpand(%);
+@c c2trig(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) cos(p+q*%i);
+(%o2) cos(%i q + p)
+@end group
+@group
+(%i3) trigexpand(%);
+(%o3) cos(p) cosh(q) - %i sin(p) sinh(q)
+@end group
+@group
+(%i4) c2trig(%);
+(%o4) cos(%i q + p)
+@end group
@end example
@item @w{ }
@@ -209,42 +255,77 @@ coth(x)=c2trig(coth(x));
@end example
@item @w{ }
-@example
-(%i12) cos(a*%i+b*%i);
-(%o12) cos(%i b + %i a)
-(%i13) trigexpand(%);
-(%o13) sinh(a) sinh(b) + cosh(a) cosh(b)
-(%i14) c2trig(%);
-(%o14) cos(%i b + %i a)
+@c ===beg===
+@c load("trigtools")$
+@c cos(a*%i+b*%i);
+@c trigexpand(%);
+@c c2trig(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) cos(a*%i+b*%i);
+(%o2) cos(%i b + %i a)
+@end group
+@group
+(%i3) trigexpand(%);
+(%o3) sinh(a) sinh(b) + cosh(a) cosh(b)
+@end group
+@group
+(%i4) c2trig(%);
+(%o4) cos(%i b + %i a)
+@end group
@end example
@item @w{ }
-@example
-(%i15) tan(a+%i*b);
-(%o15) tan(%i b + a)
+@c ===beg===
+@c load("trigtools")$
+@c tan(a+%i*b);
+@c trigexpand(%);
+@c c2trig(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) tan(a+%i*b);
+(%o2) tan(%i b + a)
+@end group
@group
-(%i16) trigexpand(%);
- %i tanh(b) + tan(a)
-(%o16) ---------------------
- 1 - %i tan(a) tanh(b)
+(%i3) trigexpand(%);
+ %i tanh(b) + tan(a)
+(%o3) ---------------------
+ 1 - %i tan(a) tanh(b)
@end group
@group
-(%i17) c2trig(%);
-(%o217) tan(%i b + a)
+(%i4) c2trig(%);
+(%o4) tan(%i b + a)
@end group
@end example
@item @w{ }
-@example
-(%i18) cot(x+%i*y);
-(%o18) cot(%i y + x)
-(%i19) trigexpand(%);
- (- %i cot(x) coth(y)) - 1
-(%o19) -------------------------
- cot(x) - %i coth(y)
-(%i20) c2trig(%);
-(%o20) cot(%i y + x)
+@c ===beg===
+@c load("trigtools")$
+@c cot(x+%i*y);
+@c trigexpand(%);
+@c c2trig(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) cot(x+%i*y);
+(%o2) cot(%i y + x)
+@end group
+@group
+(%i3) trigexpand(%);
+ - %i cot(x) coth(y) - 1
+(%o3) -----------------------
+ cot(x) - %i coth(y)
+@end group
+@group
+(%i4) c2trig(%);
+(%o4) cot(%i y + x)
+@end group
@end example
@end enumerate
@@ -267,16 +348,29 @@ to expression with hyperbolic functions sinh, cosh.
Examples:
-@example
-(%i6) c2hyp(exp(x));
-(%o6) sinh(x) + cosh(x)
-(%i7) c2hyp(exp(x)+exp(x^2)+1);
- 2 2
-(%o7) sinh(x ) + cosh(x ) + sinh(x) + cosh(x) + 1
-(%i8) c2hyp(exp(x)/(2*exp(y)-3*exp(z)));
- sinh(x) + cosh(x)
-(%o8) ---------------------------------------------
- 2 (sinh(y) + cosh(y)) - 3 (sinh(z) + cosh(z))
+@c ===beg===
+@c load("trigtools")$
+@c c2hyp(exp(x));
+@c c2hyp(exp(x)+exp(x^2)+1);
+@c c2hyp(exp(x)/(2*exp(y)-3*exp(z)));
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) c2hyp(exp(x));
+(%o2) sinh(x) + cosh(x)
+@end group
+@group
+(%i3) c2hyp(exp(x)+exp(x^2)+1);
+ 2 2
+(%o3) sinh(x ) + cosh(x ) + sinh(x) + cosh(x) + 1
+@end group
+@group
+(%i4) c2hyp(exp(x)/(2*exp(y)-3*exp(z)));
+ sinh(x) + cosh(x)
+(%o4) ---------------------------------------------
+ 2 (sinh(y) + cosh(y)) - 3 (sinh(z) + cosh(z))
+@end group
@end example
@opencatbox{Categories:}
@@ -301,13 +395,23 @@ Examples:
@enumerate
@item @w{ }
-@example
+@c ===beg===
+@c load("trigtools")$
+@c trigfactor(sin(x)+cos(x));
+@c trigrat(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
(%i2) trigfactor(sin(x)+cos(x));
- %pi
-(%o2) sqrt(2) cos(x - ---)
- 4
+ %pi
+(%o2) sqrt(2) cos(x - ---)
+ 4
+@end group
+@group
(%i3) trigrat(%);
-(%o3) sin(x) + cos(x)
+(%o3) sin(x) + cos(x)
+@end group
@end example
@item @w{ }
@@ -325,35 +429,66 @@ Examples:
@end example
@item @w{ }
-@example
-(%i6) trigfactor(sin(x)-cos(3*y));
- 3 y x %pi 3 y x %pi
-(%o6) 2 sin(--- - - + ---) sin(--- + - - ---)
- 2 2 4 2 2 4
-(%i7) trigrat(%);
-(%o7) sin(x) - cos(3 y)
+@c ===beg===
+@c load("trigtools")$
+@c trigfactor(sin(x)-cos(3*y));
+@c trigrat(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) trigfactor(sin(x)-cos(3*y));
+ 3 y x %pi 3 y x %pi
+(%o2) 2 sin(--- - - + ---) sin(--- + - - ---)
+ 2 2 4 2 2 4
+@end group
+@group
+(%i3) trigrat(%);
+(%o3) sin(x) - cos(3 y)
+@end group
@end example
@item @w{ }
-@example
-(%i8) trigfactor(-sin(5*x)-cos(3*y));
- 3 y 5 x %pi 3 y 5 x %pi
-(%o8) - 2 cos(--- - --- + ---) cos(--- + --- - ---)
- 2 2 4 2 2 4
-(%i9) trigrat(%);
-(%o9) (- cos(3 y)) - sin(5 x)
+@c ===beg===
+@c load("trigtools")$
+@c trigfactor(-sin(5*x)-cos(3*y));
+@c trigrat(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) trigfactor(-sin(5*x)-cos(3*y));
+ 3 y 5 x %pi 3 y 5 x %pi
+(%o2) - 2 cos(--- - --- + ---) cos(--- + --- - ---)
+ 2 2 4 2 2 4
+@end group
+@group
+(%i3) trigrat(%);
+(%o3) - cos(3 y) - sin(5 x)
+@end group
@end example
@item @w{ }
-@example
+@c ===beg===
+@c load("trigtools")$
+@c sin(alpha)+sin(beta)=trigfactor(sin(alpha)+sin(beta));
+@c trigrat(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
@group
-(%i10) sin(alpha)+sin(beta)=trigfactor(sin(alpha)+sin(beta));
- beta alpha beta alpha
-(%o10) sin(beta) + sin(alpha) = 2 cos(---- - -----) sin(---- + -----)
- 2 2 2 2
+(%i2) sin(alpha)+sin(beta)=trigfactor(sin(alpha)+sin(beta));
+ beta alpha
+(%o2) sin(beta) + sin(alpha) = 2 cos(---- - -----)
+ 2 2
+ beta alpha
+ sin(---- + -----)
+ 2 2
+@end group
+@group
+(%i3) trigrat(%);
+(%o3) sin(beta) + sin(alpha) = sin(beta) + sin(alpha)
@end group
-(%i11) trigrat(%);
-(%o78) sin(beta) + sin(alpha) = sin(beta) + sin(alpha)
@end example
@item @w{ }
@@ -365,45 +500,82 @@ Examples:
@end example
@item @w{ }
-@example
-(%i13) cos(alpha)+cos(beta)=trigfactor(cos(alpha)+cos(beta));
- beta alpha beta alpha
-(%o80) cos(beta) + cos(alpha) = 2 cos(---- - -----) cos(---- + -----)
- 2 2 2 2
+@c ===beg===
+@c load("trigtools")$
+@c cos(alpha)+cos(beta)=trigfactor(cos(alpha)+cos(beta));
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) cos(alpha)+cos(beta)=trigfactor(cos(alpha)+cos(beta));
+ beta alpha
+(%o2) cos(beta) + cos(alpha) = 2 cos(---- - -----)
+ 2 2
+ beta alpha
+ cos(---- + -----)
+ 2 2
+@end group
@end example
@item @w{ }
-@example
+@c ===beg===
+@c load("trigtools")$
+@c cos(alpha)-cos(beta)=trigfactor(cos(alpha)-cos(beta));
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
@group
-(%i14) cos(alpha)-cos(beta)=trigfactor(cos(alpha)-cos(beta));
- beta alpha beta alpha
-(%o14) cos(alpha) - cos(beta) = 2 sin(---- - -----) sin(---- + -----)
- 2 2 2 2
+(%i2) cos(alpha)-cos(beta)=trigfactor(cos(alpha)-cos(beta));
+ beta alpha
+(%o2) cos(alpha) - cos(beta) = 2 sin(---- - -----)
+ 2 2
+ beta alpha
+ sin(---- + -----)
+ 2 2
@end group
@end example
@item @w{ }
-@example
-(%i15) trigfactor(3*sin(x)+7*cos(x));
-(%o15) 3 sin(x) + 7 cos(x)
+@c ===beg===
+@c load("trigtools")$
+@c trigfactor(3*sin(x)+7*cos(x));
+@c c2sin(%);
+@c trigexpand(%),expand;
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
@group
-(%i16) c2sin(%);
- 7
-(%o16) sqrt(58) sin(x + atan(-))
- 3
+(%i2) trigfactor(3*sin(x)+7*cos(x));
+(%o2) 3 sin(x) + 7 cos(x)
@end group
@group
-(%i17) trigexpand(%),expand;
-(%o17) 3 sin(x) + 7 cos(x)
+(%i3) c2sin(%);
+ 7
+(%o3) sqrt(58) sin(x + atan(-))
+ 3
+@end group
+@group
+(%i4) trigexpand(%),expand;
+(%o4) 3 sin(x) + 7 cos(x)
@end group
@end example
-10.
-@example
-(%i18) trigfactor(sin(2*x));
-(%o18) sin(2 x)
-(%i19) trigexpand(%);
-(%o19) 2 cos(x) sin(x)
+@item @w{ }
+@c ===beg===
+@c load("trigtools")$
+@c trigfactor(sin(2*x));
+@c trigexpand(%);
+@c ===end===
+@example maxima
+(%i1) load("trigtools")$
+@group
+(%i2) trigfactor(sin(2*x));
+(%o2) sin(2 x)
+@end group
+@group
+(%i3) trigexpand(%);
+(%o3) 2 cos(x) sin(x)
+@end group
@end example
@end enumerate
-----------------------------------------------------------------------
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Maxima CAS
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From: rtoy <rt...@us...> - 2025-09-04 22:01:16
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, master has been updated
via 4f1f500052144c095d6fe059f71af157bdd31d85 (commit)
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- Log -----------------------------------------------------------------
-----------------------------------------------------------------------
Summary of changes:
doc/info/.gitignore | 1 +
doc/info/{odepack.texi => odepack.texi.m4} | 195 +++++++++++++++++++++++------
2 files changed, 159 insertions(+), 37 deletions(-)
rename doc/info/{odepack.texi => odepack.texi.m4} (66%)
hooks/post-receive
--
Maxima CAS
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From: rtoy <rt...@us...> - 2025-09-04 13:46:12
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, rtoy-odepack-m4math-update-examples has been updated
via 4f1f500052144c095d6fe059f71af157bdd31d85 (commit)
from 7b335132eb275361f2613e28a19c9dc11f2e1bb1 (commit)
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- Log -----------------------------------------------------------------
commit 4f1f500052144c095d6fe059f71af157bdd31d85
Author: Raymond Toy <toy...@gm...>
Date: Thu Sep 4 06:33:12 2025 -0700
Editorial changes to make things a bit easier to read
Indent the description of the parameters and return results to make it
easier to see.
Also add one last item to the example to print out the (final)
value that dlsode_step returns.
diff --git a/doc/info/odepack.texi.m4 b/doc/info/odepack.texi.m4
index 2ba57f79e..e9135b0c4 100644
--- a/doc/info/odepack.texi.m4
+++ b/doc/info/odepack.texi.m4
@@ -168,6 +168,7 @@ Then, putting everything together
@c printf(true, "At t = ~12,4,2e y = ~{~14,6,2e~}~%", result[1], result[2]),
@c istate : result[3],
@c tout : tout * 10);
+@c result;
@c ===end===
@example maxima
(%i1) load("dlsode")$
@@ -212,6 +213,13 @@ At t = 4.0000e+09 y = 5.129458e-07 2.051784e-12 9.999995e-01
At t = 4.0000e+10 y = -7.170563e-08 -2.868225e-13 1.000000e+00
(%o14) done
@end group
+@group
+(%i15) result;
+(%o15) [4.0e10, [- 7.170562924983933e-8,
+- 2.868224674710487e-13, 1.000000071705913], 2,
+[[n_steps, 330], [n_f_eval, 405], [n_j_eval, 69],
+[method_order, 1], [len_rwork, 58], [len_iwork, 23]]]
+@end group
@end example
@node Functions and Variables for odepack, , Getting Started with ODEPACK, Package odepack
@@ -230,6 +238,7 @@ dependent variables. The list of dependent variables must be in the
same order as the equations if @var{fex}. Finally, @var{method}
indicates the method to be used by the solver:
+@quotation
@table @code
@item 10
Nonstiff (Adams) method, no Jacobian used.
@@ -238,9 +247,12 @@ Stiff (BDF) method, user-supplied full Jacobian.
@item 22
Stiff method, internally generated full Jacobian.
@end table
+@end quotation
+
The returned state object is a list of lists. The sublist is a list
of two elements:
+@quotation
@table @code
@item f
The compiled function for the ODE.
@@ -261,6 +273,8 @@ Lisp array holding the integer-valued work vector.
@item fjac
Compiled analytical Jacobian of the equations
@end table
+@end quotation
+
See also @mrefdot{dlsode_step} @xref{Getting Started with ODEPACK} for
an example of usage.
@@ -277,6 +291,9 @@ an example of usage.
Performs one step of the solver, returning the values of the
independent and dependent variables, a success or error code.
+The parameters for @code{dlsode_step} are:
+@c quotation block to indent this a bit more
+@quotation
@table @code
@item inity
For the first call (when istate = 1), the initial values
@@ -300,8 +317,11 @@ for pure relative error.
@item state
state returned by dlsode_init.
@end table
+@end quotation
+
The output is a list of the following items:
+@quotation
@table @code
@item t
independent variable value
@@ -309,6 +329,7 @@ independent variable value
list of values of the dependent variables at time t.
@item istate
Integration status:
+@quotation
@table @code
@item 1
no work because tout = tt
@@ -321,7 +342,7 @@ Excess accuracy requested
@item -3
Illegal input detected
@item -4
- Repeated error test failures
+Repeated error test failures
@item -5
Repeated convergence failures (perhaps bad Jacobian or wrong choice of
mf or tolerances)
@@ -329,8 +350,10 @@ mf or tolerances)
Error weight because zero during problem (solution component is
vanished and atol(i) = 0.
@end table
+@end quotation
@item info
association list of various bits of information:
+@quotation
@table @code
@item n_steps
total steps taken thus far
@@ -345,7 +368,11 @@ Actual length used for real work array
@item len_iwork
Actual length used for integer work array
@end table
+@end quotation
+
@end table
+@end quotation
+
See also @mrefdot{dlsode_init} @xref{Getting Started with ODEPACK} for
an example of usage.
-----------------------------------------------------------------------
Summary of changes:
doc/info/odepack.texi.m4 | 29 ++++++++++++++++++++++++++++-
1 file changed, 28 insertions(+), 1 deletion(-)
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Maxima CAS
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From: rtoy <rt...@us...> - 2025-09-03 22:16:59
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, rtoy-odepack-m4math-update-examples has been updated
via 7b335132eb275361f2613e28a19c9dc11f2e1bb1 (commit)
from 25ecbac0d49fa658dbbdb1f84dc8f440f92a1155 (commit)
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- Log -----------------------------------------------------------------
commit 7b335132eb275361f2613e28a19c9dc11f2e1bb1
Author: Raymond Toy <toy...@gm...>
Date: Wed Sep 3 15:15:35 2025 -0700
Clarify that the result of dlsode_init should not be modified
The user must not modify the result of dlsode_init at all. It is
passed to dlsode_step to provide the necessary information produced by
dlsode_init.
diff --git a/doc/info/odepack.texi.m4 b/doc/info/odepack.texi.m4
index 1c6ccda34..2ba57f79e 100644
--- a/doc/info/odepack.texi.m4
+++ b/doc/info/odepack.texi.m4
@@ -125,7 +125,8 @@ Initialize the solver, where we have selected method 21:
@end example
The arrays rwork and iwork carry state between calls to
@mref{dlsode_step}, so they should not be modified by the user. In
-fact, this state should not be modified by the user at all.
+fact, this @var{state} returned from @code{dlsode_init} should not be
+modified by the user at all.
Now that the algorithm has been initialized we can compute solutions
to the differential equation, using the @var{state} returned above.
-----------------------------------------------------------------------
Summary of changes:
doc/info/odepack.texi.m4 | 3 ++-
1 file changed, 2 insertions(+), 1 deletion(-)
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From: rtoy <rt...@us...> - 2025-09-03 22:13:59
|
This is an automated email from the git hooks/post-receive script. It was
generated because a ref change was pushed to the repository containing
the project "Maxima CAS".
The branch, rtoy-odepack-m4math-update-examples has been created
at 25ecbac0d49fa658dbbdb1f84dc8f440f92a1155 (commit)
- Log -----------------------------------------------------------------
commit 25ecbac0d49fa658dbbdb1f84dc8f440f92a1155
Author: Raymond Toy <toy...@gm...>
Date: Wed Sep 3 15:13:35 2025 -0700
Ignore odepack.texi
It's generated from odepack.texi.m4 now.
diff --git a/doc/info/.gitignore b/doc/info/.gitignore
index f5260f67d..e3a99709a 100644
--- a/doc/info/.gitignore
+++ b/doc/info/.gitignore
@@ -25,6 +25,7 @@ MathFunctions.texi
Numerical.texi
Special.texi
distrib.texi
+odepack.texi
orthopoly.texi
zeilberger.texi
trigtools.texi
commit f053771ccddf36028086b97bdb8cf7bc51135c39
Author: Raymond Toy <toy...@gm...>
Date: Wed Sep 3 15:11:21 2025 -0700
Add TeX formulas and code blocks to generate the examples
There's a bit of duplication in the examples because each code block
is independent of the others, so we need to copy some initialization
code into each block. This also means some of the text had to be
rephrased a bit.
diff --git a/doc/info/odepack.texi.m4 b/doc/info/odepack.texi.m4
index 051b6a442..1c6ccda34 100644
--- a/doc/info/odepack.texi.m4
+++ b/doc/info/odepack.texi.m4
@@ -41,6 +41,16 @@ Of the eight variants of the solver, Maxima currently only has an
interface to @code{dlsode}.
Let's say we have this system of equations to solve:
+m4_displaymath(
+<<<
+\eqalign{
+f_1 &= -0.04 y_1 + 10^4 y_2 y_3 \cr
+f_3 &= 3\times 10^7 y_2^2 \cr
+{dy_1 \over dt} &= f_1 \cr
+{dy_2 \over dt} &= -f_1 - f_3 \cr
+{dy_3 \over dt} &= f_3 \cr
+}>>>,
+<<<
@example
f1 = -.04d0*y1 + 1d4*y2*y3
f3 = 3d7*y2*y2
@@ -48,29 +58,70 @@ Let's say we have this system of equations to solve:
dy2/dt = -f1 - f3
dy3/dt = f3
@end example
-The independent variable is @math{t}; the dependent variables are @math{y1}, @math{y2},
-and @math{y3},
+>>>)
+
+The independent variable is @math{t}; the dependent variables are
+m4_mathcomma(y_1)
+m4_mathcomma(y_2)
+and
+m4_mathdot(y_3)
To start the solution, set up the differential equations to solved:
-@example
-load("dlsode");
-f1: -.04d0*y1 + 1d4*y2*y3$
-f3: 3d7*y2*y2$
-f2: -f1 - f3$
-fex: [f1, f2, f3];
+@c ===beg===
+@c load("dlsode")$
+@c f1: -.04d0*y1 + 1d4*y2*y3$
+@c f3: 3d7*y2*y2$
+@c f2: -f1 - f3$
+@c fex: [f1, f2, f3];
+@c ===end===
+@example maxima
+(%i1) load("dlsode")$
+(%i2) f1: -.04d0*y1 + 1d4*y2*y3$
+(%i3) f3: 3d7*y2*y2$
+(%i4) f2: -f1 - f3$
+@group
+(%i5) fex: [f1, f2, f3];
+(%o5) [10000.0 y2 y3 - 0.04 y1,
+ 2 2
+ - 10000.0 y2 y3 - 3.0e7 y2 + 0.04 y1, 3.0e7 y2 ]
+@end group
@end example
Initialize the solver, where we have selected method 21:
-@example
+@c ===beg===
+@c load("dlsode")$
+@c f1: -.04d0*y1 + 1d4*y2*y3$
+@c f3: 3d7*y2*y2$
+@c f2: -f1 - f3$
+@c fex: [f1, f2, f3];
+@c state : dlsode_init(fex, ['t,y1,y2,y3], 21);
+@c ===end===
+@example maxima
+(%i1) load("dlsode")$
+(%i2) f1: -.04d0*y1 + 1d4*y2*y3$
+(%i3) f3: 3d7*y2*y2$
+(%i4) f2: -f1 - f3$
+@group
+(%i5) fex: [f1, f2, f3];
+(%o5) [10000.0 y2 y3 - 0.04 y1,
+ 2 2
+ - 10000.0 y2 y3 - 3.0e7 y2 + 0.04 y1, 3.0e7 y2 ]
+@end group
+@group
(%i6) state : dlsode_init(fex, ['t,y1,y2,y3], 21);
-(%o6) [[f, #<Function "LAMBDA ($T $Y1 $Y2 $Y3)" @{49DAC061@}>],
-[vars, [t, y1, y2, y3]], [mf, 21], [neq, 3], [lrw, 58], [liw, 23], [rwork, @{Li\
-sp Array: #(0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
- 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
- 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+(%o6) [[f, #<Function "LAMBDA ($T $Y1 $Y2 $Y3)" @{6177C099@}>],
+[vars, [t, y1, y2, y3]], [mf, 21], [neq, 3], [lrw, 58],
+[liw, 23], [rwork, @{Lisp Array: #(0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.\
+0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+ 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0\
+.0 0.0 0.0 0.0
+ 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0\
+.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0)@}],
-[iwork, @{Lisp Array: #(0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0)@}],
-[fjac, #<Function "LAMBDA ($T $Y1 $Y2 $Y3)" @{49D52AC9@}>]]
+[iwork,
+@{Lisp Array: #(0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0)@}],
+[fjac, #<Function "LAMBDA ($T $Y1 $Y2 $Y3)" @{616B2099@}>]]
+@end group
@end example
The arrays rwork and iwork carry state between calls to
@mref{dlsode_step}, so they should not be modified by the user. In
@@ -80,31 +131,72 @@ Now that the algorithm has been initialized we can compute solutions
to the differential equation, using the @var{state} returned above.
For this example, we want to compute the solution at times
-@code{0.4*10^k} for @math{k} from 0 to 11, with the initial values of 1, 0, 0
-for the dependent variables and with a relative tolerance of 1d-4 and
-absolute tolerances of 1e-6, 1e-10, and 1d-6 for the dependent
+m4_math(0.4\times 10^k,
+@code{0.4*10^k})
+for @math{k} from 0 to 11, with the initial values of 1, 0, 0
+for the dependent variables and with a relative tolerance of
+m4_math(10^{-4}, 1e-4)
+and
+absolute tolerances of
+m4_mathcomma(10^{-6}, 1e-6)
+m4_mathcomma(10^{-10}, 1e-10)
+and
+m4_math(10^{-6}, 1e-6)
+for the dependent
variables.
-Then
-@example
-y: [1d0, 0d0, 0d0];
-t: 0d0;
-rtol : 1d-4;
-atol: [1d-6, 1d-10, 1d-6];
-istate: 1;
-t:0d0;
-tout:.4d0;
-
-for k : 1 thru 12 do
+Then, putting everything together
+@c ===beg===
+@c load("dlsode")$
+@c f1: -.04d0*y1 + 1d4*y2*y3$
+@c f3: 3d7*y2*y2$
+@c f2: -f1 - f3$
+@c fex: [f1, f2, f3];
+@c state : dlsode_init(fex, ['t,y1,y2,y3], 21)$
+@c y: [1d0, 0d0, 0d0]$
+@c t: 0d0$
+@c rtol : 1d-4$
+@c atol: [1d-6, 1d-10, 1d-6]$
+@c istate: 1$
+@c t:0d0$
+@c tout:.4d0$
+@c
+@c for k : 1 thru 12 do
+@c block([],
+@c result: dlsode_step(y, t, tout, rtol, atol, istate, state),
+@c printf(true, "At t = ~12,4,2e y = ~{~14,6,2e~}~%", result[1], result[2]),
+@c istate : result[3],
+@c tout : tout * 10);
+@c ===end===
+@example maxima
+(%i1) load("dlsode")$
+(%i2) f1: -.04d0*y1 + 1d4*y2*y3$
+(%i3) f3: 3d7*y2*y2$
+(%i4) f2: -f1 - f3$
+@group
+(%i5) fex: [f1, f2, f3];
+(%o5) [10000.0 y2 y3 - 0.04 y1,
+ 2 2
+ - 10000.0 y2 y3 - 3.0e7 y2 + 0.04 y1, 3.0e7 y2 ]
+@end group
+(%i6) state : dlsode_init(fex, ['t,y1,y2,y3], 21)$
+(%i7) y: [1d0, 0d0, 0d0]$
+(%i8) t: 0d0$
+(%i9) rtol : 1d-4$
+(%i10) atol: [1d-6, 1d-10, 1d-6]$
+(%i11) istate: 1$
+(%i12) t:0d0$
+@group
+(%i13) tout:.4d0$
+
+@end group
+@group
+(%i14) for k : 1 thru 12 do
block([],
result: dlsode_step(y, t, tout, rtol, atol, istate, state),
printf(true, "At t = ~12,4,2e y = ~@{~14,6,2e~@}~%", result[1], result[2]),
istate : result[3],
tout : tout * 10);
-@end example
-
-This produces the output:
-@example
At t = 4.0000e-01 y = 9.851726e-01 3.386406e-05 1.479357e-02
At t = 4.0000e+00 y = 9.055142e-01 2.240418e-05 9.446344e-02
At t = 4.0000e+01 y = 7.158050e-01 9.184616e-06 2.841858e-01
@@ -117,9 +209,10 @@ At t = 4.0000e+07 y = 5.306413e-05 2.122677e-10 9.999469e-01
At t = 4.0000e+08 y = 5.494530e-06 2.197824e-11 9.999945e-01
At t = 4.0000e+09 y = 5.129458e-07 2.051784e-12 9.999995e-01
At t = 4.0000e+10 y = -7.170563e-08 -2.868225e-13 1.000000e+00
+(%o14) done
+@end group
@end example
-
@node Functions and Variables for odepack, , Getting Started with ODEPACK, Package odepack
@section Functions and Variables for odepack
commit 8a86e987d94ae36964c6a53b8c0ba0c325a9a3df
Author: Raymond Toy <toy...@gm...>
Date: Wed Sep 3 14:30:21 2025 -0700
Rename odepack.texi to odepack.texi.m4
In preparation for adding some nice TeX formulas.
diff --git a/doc/info/odepack.texi b/doc/info/odepack.texi.m4
similarity index 100%
rename from doc/info/odepack.texi
rename to doc/info/odepack.texi.m4
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