From d281daec04df8a4096e5c084bc0347ad05fb0c3b Mon Sep 17 00:00:00 2001 From: rocky Date: Sat, 19 Sep 2026 11:06:34 -0400 Subject: [PATCH 1/7] Remove LaTeX PDF generation This is now located in GitHub repository Mathics3/Mathics-Documentation-LaTeX --- Makefile | 18 +- mathics/doc/Makefile | 12 - mathics/doc/documentation/1-Manual.mdoc | 1427 --- mathics/doc/documentation/A-License.mdoc | 289 - mathics/doc/documentation/images/.gitignore | 1 - mathics/doc/documentation/images/classes.dia | Bin 6076 -> 0 bytes mathics/doc/documentation/images/classes.eps | 9092 ----------------- mathics/doc/documentation/images/classes.png | Bin 51328 -> 0 bytes mathics/doc/images/README.md | 10 - mathics/doc/images/logo-Mathics3-nodrop.svg | 72 - mathics/doc/images/logo-Mathics3.svg | 109 - mathics/doc/images/logo-heptatom-Mathics3.svg | 128 - mathics/doc/images/logo-heptatom.svg | 100 - mathics/doc/latex/.gitignore | 49 - mathics/doc/latex/Makefile | 89 - mathics/doc/latex/README.rst | 54 - mathics/doc/latex/doc2latex.py | 204 - mathics/doc/latex/latexmkrc | 51 - mathics/doc/latex/mathics3.tex | 373 - mathics/doc/latex/sed-hack.sh | 24 - mathics/doc/latex/static-images/README.md | 7 - .../latex/static-images/file-open-button.png | Bin 435 -> 0 bytes mathics/doc/latex/static-images/gallery.png | Bin 572 -> 0 bytes .../static-images/generate-hash-button.png | Bin 544 -> 0 bytes mathics/doc/latex/static-images/menubar.png | Bin 2330 -> 0 bytes .../doc/latex/static-images/save-button.png | Bin 480 -> 0 bytes mathics/doc/latex/testing-sample.tex | 50 - mathics/doc/make-static-images.sh | 33 - mathics/doc/structure.py | 5 - mathics/docpipeline.py | 142 +- mathics/settings.py | 41 - pyproject.toml | 2 - 32 files changed, 17 insertions(+), 12365 deletions(-) delete mode 100644 mathics/doc/Makefile delete mode 100644 mathics/doc/documentation/1-Manual.mdoc delete mode 100644 mathics/doc/documentation/A-License.mdoc delete mode 100644 mathics/doc/documentation/images/.gitignore delete mode 100644 mathics/doc/documentation/images/classes.dia delete mode 100644 mathics/doc/documentation/images/classes.eps delete mode 100644 mathics/doc/documentation/images/classes.png delete mode 100644 mathics/doc/images/README.md delete mode 100644 mathics/doc/images/logo-Mathics3-nodrop.svg delete mode 100644 mathics/doc/images/logo-Mathics3.svg delete mode 100644 mathics/doc/images/logo-heptatom-Mathics3.svg delete mode 100644 mathics/doc/images/logo-heptatom.svg delete mode 100644 mathics/doc/latex/.gitignore delete mode 100644 mathics/doc/latex/Makefile delete mode 100644 mathics/doc/latex/README.rst delete mode 100755 mathics/doc/latex/doc2latex.py delete mode 100644 mathics/doc/latex/latexmkrc delete mode 100644 mathics/doc/latex/mathics3.tex delete mode 100755 mathics/doc/latex/sed-hack.sh delete mode 100644 mathics/doc/latex/static-images/README.md delete mode 100644 mathics/doc/latex/static-images/file-open-button.png delete mode 100644 mathics/doc/latex/static-images/gallery.png delete mode 100644 mathics/doc/latex/static-images/generate-hash-button.png delete mode 100644 mathics/doc/latex/static-images/menubar.png delete mode 100644 mathics/doc/latex/static-images/save-button.png delete mode 100644 mathics/doc/latex/testing-sample.tex delete mode 100755 mathics/doc/make-static-images.sh diff --git a/Makefile b/Makefile index 3ca6563b5..dc8a8127f 100644 --- a/Makefile +++ b/Makefile @@ -31,19 +31,16 @@ MATHICS3_MODULE_OPTION ?= --load-module pymathics.graph,pymathics.natlang develop-full \ develop-full-cython \ dist \ - doc \ doctest \ doctest-data \ djangotest \ gstest \ - latexdoc \ mypy \ plot-detailed-tests\ pytest \ pytest-x \ rmChangeLog \ - test \ - texdoc + test MATHICS3_SANDBOX ?= ifeq ($(OS),Windows_NT) @@ -133,9 +130,6 @@ clean-cache: #: Remove derived files clean: clean-cython clean-cache - for dir in mathics/doc ; do \ - ($(MAKE) -C "$$dir" clean); \ - done; \ rm -f factorials || true; \ rm -f mathics/data/*.json || true; \ rm -rf build || true @@ -158,12 +152,6 @@ pytest-x : gstest: (cd examples/symbolic_logic/gries_schneider && $(PYTHON) test_gs.py) - -#: Create LaTeX doctest test data and test results that is used to build LaTeX PDF -# For LaTeX docs we assume Unicode -latex-doctest-data: mathics/builtin/*.py mathics/doc/documentation/*.mdoc mathics/doc/documentation/images/* - MATHICS_CHARACTER_ENCODING="UTF-8" $(PYTHON) mathics/gather_latex_doc.py --output $(MATHICS3_MODULE_OPTION) --doc-only - #: Run tests that appear in docstring in the code. Use environment variable "DOCTEST_OPTIONS" for doctest options doctest: MATHICS3_SANDBOX=$(MATHICS3_SANDBOX) $(PYTHON) mathics/docpipeline.py $(DOCTEST_OPTIONS) @@ -172,10 +160,6 @@ doctest: doctest-x: DOCTEST_OPTIONS="-x" $(MAKE) doctest -#: Make Mathics3 PDF manual via Asymptote and LaTeX -latexdoc texdoc doc: - (cd mathics/doc/latex && $(MAKE) doc) - #: Remove ChangeLog rmChangeLog: $(RM) ChangeLog || true diff --git a/mathics/doc/Makefile b/mathics/doc/Makefile deleted file mode 100644 index 51e5166b6..000000000 --- a/mathics/doc/Makefile +++ /dev/null @@ -1,12 +0,0 @@ -# A GNU Makefile to build the docs - -# Note: This makefile include remake-style target comments. -# These comments before the targets start with #: - -.PHONY: latex texdoc - -all: latex - -#: Forward the call to tex, Whatever it is you want to do -%: - $(MAKE) -C latex $@ diff --git a/mathics/doc/documentation/1-Manual.mdoc b/mathics/doc/documentation/1-Manual.mdoc deleted file mode 100644 index be91db740..000000000 --- a/mathics/doc/documentation/1-Manual.mdoc +++ /dev/null @@ -1,1427 +0,0 @@ - - - -\Mathics3 is a :computer algebra system:https://en.wikipedia.org/wiki/Computer_algebra_system. It is a free, open-source alternative to \Mathematica or the \Wolfram Language. However, \Mathics3 builds on the Python ecosystem of libraries and tools. So, in a sense, you can think of it as a WMA front end to the Python ecosystem of tools. - -\Mathics3 is free both as in "free beer", but more importantly, as in "freedom". \Mathics3 can be run locally. To facilitate installation of the vast amount of software needed to run this, there is a :docker image available on dockerhub: https://hub.docker.com/r/mathicsorg/mathics. - -The programming language and built-in functions of \Mathics3 try to match the \Wolfram Language, which is continually evolving. - -\Mathics3 is in no way affiliated or supported by \Wolfram. \Mathics3 will probably never have the power to compete with \Mathematica in industrial applications; it is a free alternative, though. It also invites community development at all levels. - -See the :installation instructions:https://mathics-development-guide.readthedocs.io/en/latest/installing.html for the most recent instructions for installing from PyPI, or the source. - -For implementation details, please refer to the :Developers Guide:https://mathics-development-guide.readthedocs.io/en/latest. - -
-\Mathematica is great, but it might have some disadvantages, depending on your point of view. - -
    -
  • It is not open source. -
  • Its development is tightly controlled and centralized, and as such -
  • It can't hook into different kinds of open-source packages that have independently developed algorithms and methods -
- -However, even if you are willing to pay hundreds of dollars for the software, you would not be able to see what\'s going on "inside" the program if that is your interest. That\'s what free, open-source, and community-supported software is for! - -\Mathics3 combines the beauty of \Mathematica implemented in an open-source environment written in Python. The Python ecosystem includes libraries and tools like: - -
    -
  • :mpmath: https://mpmath.org/ for floating-point arithmetic with arbitrary precision, -
  • :NumPy: https://numpy.org for numeric computation, -
  • :SymPy: https://sympy.org for symbolic mathematics, and -
  • :SciPy: https://www.scipy.org/ for Scientific calculations. -
- -Performance of \Mathics3 is not, right now, fast in large-scale projects and calculations. With better use of NumPy arrays, and better compilation, we hope to ameliorate this in the future. - -However, right now \Mathics3 can be used as a tool for exploration and education and non-computationally intensive use. And \Mathics3 provides better debugging and tracing, since we can be completely transparent about every aspect of its operation. - -
- -
- -Because \Mathics3 is compatible with the Wolfram-Language kernel within the confines of the Python ecosystem, it is a powerful functional \ -programming language, driven by pattern matching and rule application. - -Primitive types include rationals, complex numbers, and arbitrary-precision numbers (courtesy of :mpmath: https://mpmath.org/). Other primitive types, such as images or graphs, or NLP, come from the various Python libraries that \Mathics3 uses. - -Outside of the "core" \Mathics3 kernel (which has only a primitive command-line interface), in separate GitHub projects, as add-ons, there are: - -
    -
  • a :command-line interface:https://pypi.org/project/mathicsscript/ using either :prompt-toolkit:https://python-prompt-toolkit.readthedocs.io/en/master/, or GNU Readline -
  • a :Django-based web server:https://pypi.org/project/Mathics-Django/ -
  • a :A browser-based no-install online front-end:https://mathics3.github.io/Mathics3-live/ -
  • a :Mathics3 module for Graphs:https://pypi.org/project/pymathics-graph/ (via :NetworkX:https://networkx.org/), -
  • a :Mathics3 module for NLP:https://pypi.org/project/pymathics-natlang/ (via :nltk:https://www.nltk.org/, :spacy:https://spacy.io/, and others) -
  • a :Mathics3 Debugger Module:https://pypi.org/project/Mathics3-trepan/ (experimental) -
  • a :A docker container:https://hub.docker.com/r/mathicsorg/mathics which bundles all of the above -
- -In the future, we might provide better interaction with other Open-source projects like :SageMath:https://www.sagemath.org/ and Open-source tools. For example, we might be able someday to read and write Jupyter notebooks, translate into pure SymPy and \Mathics3, or translate between SageMath object and \Mathics3 objects more seamlessly. - - -A couple of the notable Mathematica packages that work on \Mathics3 are :Combinatorica :https://github.com/Mathics3/Mathics3-Combinatorica,and :Rubi:https://github.com/Mathics3/Mathics3-Package-Rubi/. - - -
- -
-The first alpha versions of \Mathics were done in 2011 by Jan Pöschko. He worked on it for a couple of years until the v0.5 release in 2012. At that point, it had the first iteration of 386 built-in symbols. Currently, there are over 1,300, and even more when \Mathics3 modules are included. - -After that, Angus Griffith took over primary leadership and rewrote the scanner and parser to make it much closer to the stage it is in now. He and, later, Ben Jones worked on it from 2013 to about 2017 for the v1.0 release. Towards the end of this period, Bernhard Liebl worked on this, mostly focusing on graphics. - -A :docker image of the v.9 release: https://hub.docker.com/r/arkadi/mathics can be found on DockerHub. - -Around 2017, the project was largely abandoned in its largely Python 2.7 state, with some support for Python 3.2-3.5 via six. - -Subsequently, around mid-2020, it was picked up by the current developers and the project was renamed from \Mathics to \Mathics3. A list of authors and contributors can be found in the :AUTHORS.txt:https://github.com/Mathics3/mathics-core/blob/master/AUTHORS.txt file. -
- -
-There are lots of ways in which \Mathics3 could still be improved. :FUTURE.rst: https://github.com/Mathics3/mathics-core/blob/master/FUTURE.rst has the current roadmap. - -However, many WMA Built-in functions have not been implemented. To get a list run: - - git grep -n "# TODO: " mathics/builtin - -from the Mathics3 core :github repository: https://github.com/Mathics3/mathics-core/blob/master/AUTHORS.txt. - -We have a tutorial for :adding new Mathics3 functions: https://mathics-development-guide.readthedocs.io/en/latest/extending/developing-code/extending/tutorial.html. - -Many of the existing Mathics3 Built-in functions are incomplete or work differently, such as checking for different error conditions. - -Although we can always use help in Python programming, there are other ways to help. For example: - -
    -
  • Ensure this document is complete and accurate. We could use help to ensure all of the Built-in functions are described properly and fully, and that they have a link to the corresponding Wiki, SymPy, WMA, and/or mpath links.
    • -
  • Work on making a comprehensive list of missing or incomplete built-in functions.
    • -Make sure the built-in summaries and examples are clear and useful. -
  • We could use help in LaTeX styling, and going over this document to remove overfull boxes and things of that nature. We could also use help and our use of Asymptote. The are some graphics primitives, such as for polyhedra, that haven't been implemented. Similar graphics options are sometimes missing in Asymptote that we have available in other graphics backends.
    • - -
  • Add another graphics backend: it could be a JavaScript library like :jsfiddle: https://jsfiddle.net/.
    • - -
  • Consider donating via :Github Sponsors: https://github.com/sponsors or some other mechanism.
    • -
-
- -See :The Mathics3 Developer Guide:https://mathics-development-guide.readthedocs.io/en/latest/ for how to get started using and developing \Mathics3. - - - - - - -The following sections are introductions to the basic principles of the language of \Mathics3. A few examples and functions are presented. Only their most common usages are listed; for a full description of a Symbol's possible arguments, options, etc., see its entry in the Reference of Built-in Symbols. - -If you Google for "Mathematica Tutorials", you will find dozens of other tutorials. - -I (Rocky Bernstein) like "Power Programming with the \Mathematica: the Kernel" by David Wagner. Even though this is old, and the book covers \Mathematica 3, it has a lot of useful information that is still relevant. A PDF of this is available :here:https://www.dropbox.com/s/j2dsyvptnxjd369/Wagner%20All%20Parts-RC.pdf. Wolfram's "The \Mathematica Book, Fifth Edition" is useful. If you google for this book, you can probably find a PDF of it for free. - - -Online, there is :An Elementary Introduction to the Wolfram Language:https://www.wolfram.com/language/elementary-introduction/. In the :docker image:https://hub.docker.com/r/mathicsorg/mathics that we supply, you can load "workspaces" containing the examples described in the chapters of this introduction. - -Be warned, though, that \Mathics3 does not yet offer the full range of features and capabilities of \Mathematica. - -
-\Mathics3 can be used to calculate basic stuff: - - >> 1 + 2 - = 3 - -To submit a command to \Mathics3, press 'Shift+Return' in the Web interface or 'Return' in the console interface. The result will be printed in a new line below your query. - -The result of the previous query to \Mathics can be accessed by '%': - - >> % ^ 2 - = 9 - -\Mathics3 understands all basic arithmetic operators and applies the usual operator precedence. Use parentheses when needed: - - >> 1 - 2 * (3 + 5) / 4 - = -3 - -The multiplication can be omitted: - - >> 1 - 2 (3 + 5) / 4 - = -3 - - >> 2 4 - = 8 - -Powers can be entered using '^': - - >> 3 ^ 4 - = 81 - -Integer divisions yield rational numbers: - - >> 6 / 4 - = 3 / 2 - -To convert the result to a floating-point number, apply the function 'N': - >> N[6 / 4] - = 1.5 - -As you can see, functions are applied using square braces '[' and ']', in contrast to the common notation of '(' and ')'. At first hand, this might seem strange, but this distinction between function application and precedence change is necessary to allow some general syntax structures, as you will see later. - -\Mathics3 provides many common mathematical functions and constants, e.g.: - >> Log[E] - = 1 - - >> Sin[Pi] - = 0 - - >> Cos[0.5] - = 0.877583 - -When entering floating point numbers in your query, \Mathics3 will perform a numerical evaluation and present a numerical result, pretty much like if you had applied 'N'. - -Of course, \Mathics3 has complex numbers: - >> Sqrt[-4] - = 2 I - - >> I ^ 2 - = -1 - - >> (3 + 2 I) ^ 4 - = -119 + 120 I - - >> (3 + 2 I) ^ (2.5 - I) - = 43.663 + 8.28556 I - - >> Tan[I + 0.5] - = 0.195577 + 0.842966 I - -'Abs' calculates absolute values: - >> Abs[-3] - = 3 - - >> Abs[3 + 4 I] - = 5 - -\Mathics3 can operate with pretty huge numbers: - >> 55! (* Also known as Factorial[55] *) - = 12696403353658275925965100847566516959580321051449436762275840000000000000 - -We could easily use a number larger than 55, but the digits will just run off the page. - -The precision of numerical evaluation can be set: - - >> N[Pi, 30] - = 3.14159265358979323846264338328 - -Division by zero gives an error: - >> 1 / 0 - : Infinite expression 1 / 0 encountered. - = ComplexInfinity - -But zero division returns value :'ComplexInfinity':/doc/reference-of-built-in-symbols/integer-and-number-theoretical-functions/mathematical-constants/complexinfinity and that can be used as a value: - - >> Cos[ComplexInfinity] - = Indeterminate - -'ComplexInfinity' is a shorthand though for 'DirectedInfinity[]'. - -Similarly, expressions using :'Infinity':/doc/reference-of-built-in-symbols/integer-and-number-theoretical-functions/mathematical-constants/complexinfinity as a value are allowed and are evaluated: - >> Infinity + 2 Infinity - = Infinity - -There is also the value, :'Indeterminate':/doc/reference-of-built-in-symbols/integer-and-number-theoretical-functions/mathematical-constants/indeterminate: - - >> 0 ^ 0 - : Indeterminate expression 0 ^ 0 encountered. - = Indeterminate - -
- -
- -\Mathics3 handles relative and absolute uncertainty in numerical quantities. The precision or relative accuracy is set by adding a RawBackquote character ('`') and the number of digits of precision in the mantissa. For example: - - >> 3.1416`3 - = 3.14 - -Above, two decimal places are shown in the output after the decimal point, but three places of precision are stored. - -The relative uncertainty of '3.1416`3' is 10^-3. It is numerically equivalent, in three places after the decimal point, to 3.1413`4: - - >> 3.1416`3 == 3.1413`4 - = True - - -We can get the precision of the number by using the \Mathics3 Built-in function :'Precision': /doc/reference-of-built-in-symbols/atomic-elements-of-expressions/representation-of-numbers/precision: - - >> Precision[3.1413`4] - = 4. - -While 3.1419 is not the closest approximation to Pi in 4 digits after the decimal point (or with precision 4), for 3 digits of precision it is: - - >> Pi == 3.141987654321`3 - = True - -The absolute accuracy of a number is set by adding two RawBackquotes '``' and the number digits. - -For example: - - >> 13.1416``4 - = 13.142 - -is a number having an absolute uncertainty of $10^-4$. - -This number is numerically equivalent to '13.1413``4': - - >> 13.1416``4 == 13.1413``4 - = True - -The absolute accuracy for the value 0 is a fixed-precision Real number: - - >> 0``4 - = 0.0000 - -See also :Accuracy and precision: https://en.wikipedia.org/wiki/Accuracy_and_precision. -
- - -
-Symbols need not be declared in \Mathics3, they can just be entered and remain variable: - >> x - = x -Basic simplifications are performed: - >> x + 2 x - = 3 x -Symbols can have any name that consists of characters and digits: - >> iAm1Symbol ^ 2 - = iAm1Symbol ^ 2 - -You can assign values to symbols: - >> a = 2 - = 2 - >> a ^ 3 - = 8 - >> a = 4 - = 4 - >> a ^ 3 - = 64 -Assigning a value returns that value. If you want to suppress the output of any result, add a ';' to the end of your query: - >> a = 4; - -Values can be copied from one variable to another: - - >> b = a; - -Now changing 'a' does not affect 'b': - - >> a = 3; - >> b - = 4 - -Such a dependency can be achieved by using "delayed assignment" with the ':=' operator (which does not return anything, as the right side is not even evaluated): - - >> b := a ^ 2 - >> b - = 9 - - >> a = 5; - >> b - = 25 - - ## -
- - -
-Values can be compared for equality using the operator '==': - - >> 3 == 3 - = True - - >> 3 == 4 - = False - -The special symbols 'True' and 'False' are used to denote truth values. Naturally, there are inequality comparisons as well: - - >> 3 > 4 - = False - -Inequalities can be chained: - >> 3 < 4 >= 2 != 1 - = True - -Truth values can be negated using '!' (logical not) and combined using '&&' (logical and) and '||' (logical or): - - >> !True - = False - - >> !False - = True - - >> 3 < 4 && 6 > 5 - = True - -'&&' has higher precedence than '||', i.e. it binds stronger: - - >> True && True || False && False - = True - - >> True && (True || False) && False - = False - - ## -
- -
-Strings can be entered with '"' as delimiters: - - >> "Hello world!" - = Hello world! - -As you can see, quotation marks are not printed in the output by default. This can be changed by using 'InputForm': - >> InputForm["Hello world!"] - = "Hello world!" - -Strings can be joined using '<>': - >> "Hello" <> " " <> "world!" - = Hello world! - -Numbers cannot be joined to strings: - >> "Debian" <> 6 - : String expected. - = Debian <> 6 - -They have to be converted to strings using 'ToString' first: - >> "Debian" <> ToString[6] - = Debian6 - - ## -
- -
-Lists can be entered in \Mathics3 with curly braces '{' and '}': - - >> mylist = {a, b, c, d} - = {a, b, c, d} - -There are various functions for constructing lists: - >> Range[5] - = {1, 2, 3, 4, 5} - - >> Array[f, 4] - = {f[1], f[2], f[3], f[4]} - - >> ConstantArray[x, 4] - = {x, x, x, x} - - >> Table[n ^ 2, {n, 2, 5}] - = {4, 9, 16, 25} - -The number of elements of a list can be determined with 'Length': - >> Length[mylist] - = 4 - -Elements can be extracted using double square braces: - >> mylist[[3]] - = c - -Negative indices count from the end: - >> mylist[[-3]] - = b - -Lists can be nested: - >> mymatrix = {{1, 2}, {3, 4}, {5, 6}}; - -There are alternate forms to display lists: - >> TableForm[mymatrix] - = 1 2 - . - . 3 4 - . - . 5 6 - - >> MatrixForm[mymatrix] - = 1 2 - . - . 3 4 - . - . 5 6 - -There are various ways of extracting elements from a list: - - >> mymatrix[[2, 1]] - = 3 - >> mymatrix[[;;, 2]] - = {2, 4, 6} - >> Take[mylist, 3] - = {a, b, c} - >> Take[mylist, -2] - = {c, d} - >> Drop[mylist, 2] - = {c, d} - >> First[mymatrix] - = {1, 2} - >> Last[mylist] - = d - >> Most[mylist] - = {a, b, c} - >> Rest[mylist] - = {b, c, d} - -Lists can be used to assign values to multiple variables at once: - - >> {a, b} = {1, 2}; - >> a - = 1 - >> b - = 2 - -Operations like addition and multiplication, "thread" over lists; lists are combined element-wise: - - >> {1, 2, 3} + {4, 5, 6} - = {5, 7, 9} - >> {1, 2, 3} * {4, 5, 6} - = {4, 10, 18} - -It is an error to combine lists with unequal lengths: - >> {1, 2} + {4, 5, 6} - : Objects of unequal length cannot be combined. - = {1, 2} + {4, 5, 6} - - ## -
- -
-Every expression in \Mathics3 is built upon the same principle: it consists of a head and an arbitrary number of children, unless it is an atom, i.e., it can not be subdivided any further. To put it another way: everything is a function call. This can be best seen when displaying expressions in their "full form": - - >> FullForm[a + b + c] - = Plus[a, b, c] - -Nested calculations are nested function calls: - >> FullForm[a + b * (c + d)] - = Plus[a, Times[b, Plus[c, d]]] - -Even lists are function calls of the function 'List': - >> Head[{1, 2, 3}] - = List - -However, its full form is presented with '{...}' - >> FullForm[{1, 2, 3}] - = {1, 2, 3} - - The head of an expression can be determined with 'Head': - >> Head[a + b + c] - = Plus - -The children of an expression can be accessed like list elements: - >> (a + b + c)[[2]] - = b - -The head is the 0th element: - >> (a + b + c)[[0]] - = Plus - -The head of an expression can be exchanged using the function 'Apply': - - >> Apply[g, f[x, y]] - = g[x, y] - - >> Apply[Plus, a * b * c] - = a + b + c - -'Apply' can be written using the operator '@@': - >> Times @@ {1, 2, 3, 4} - = 24 - -(This exchanges the head 'List' of '{1, 2, 3, 4}' with 'Times', and then the expression 'Times[1, 2, 3, 4]' is evaluated, yielding 24.) -'Apply' can also be applied on a certain level of an expression: - - >> Apply[f, {{1, 2}, {3, 4}}, {1}] - = {f[1, 2], f[3, 4]} - -Or even on a range of levels: - >> Apply[f, {{1, 2}, {3, 4}}, {0, 2}] - = f[f[1, 2], f[3, 4]] - -'Apply' is similar to 'Map' ('/@'): - >> Map[f, {1, 2, 3, 4}] - = {f[1], f[2], f[3], f[4]} - - >> f /@ {{1, 2}, {3, 4}} - = {f[{1, 2}], f[{3, 4}]} - -The atoms of \Mathics3 are numbers, symbols, and strings. 'AtomQ' tests whether an expression is an atom: - - >> AtomQ[5] - = True - - >> AtomQ[a + b] - = False - -The full form of rational and complex numbers looks like they were compound expressions: - >> FullForm[3 / 5] - = Rational[3, 5] - >> FullForm[3 + 4 I] - = Complex[3, 4] - -However, they are still atoms, thus unaffected by applying functions, for instance: - >> f @@ Complex[3, 4] - = 3 + 4 I - -Nevertheless, every atom has a head: - >> Head /@ {1, 1/2, 2.0, I, "a string", x} - = {Integer, Rational, Real, Complex, String, Symbol} - -The operator '===' tests whether two expressions are the same on a structural level: - >> 3 === 3 - = True - - >> 3 == 3.0 - = True - -But: - - >> 3 === 3.0 - = False - -because '3' (an 'Integer') and '3.0' (a 'Real') are structurally different. - - ## -
- -
- -Functions can be defined in the following way: - >> f[x_] := x ^ 2 - -This tells \Mathics3 to replace every occurrence of 'f' with one (arbitrary) parameter 'x' with 'x ^ 2'. - >> f[3] - = 9 - - >> f[a] - = a ^ 2 - -The definition of 'f' does not specify anything for two parameters, so any such call will stay unevaluated: - >> f[1, 2] - = f[1, 2] - -In fact, functions in \Mathics3 are just one aspect of patterns: 'f[x_]' is a pattern that matches expressions like 'f[3]' and 'f[a]'. The following patterns are available: -
-
'_' or 'Blank[]' -
matches one expression. -
'Pattern'[$x$, $p$] -
matches the pattern $p$ and stores the matching sub-expression into $x$. -
$x$'_' or 'Pattern['$x$, 'Blank[]]' -
matches one expression and stores it in $x$. -
'__' or 'BlankSequence[]' -
matches a sequence of one or more expressions. -
'___' or 'BlankNullSequence[]' -
matches a sequence of zero or more expressions. -
'_'$h$ or 'Blank'[$h$] -
matches one expression with head $h$. -
$x$'_'$h$ or 'Pattern['$x$, 'Blank['$h$']]' -
matches one expression with head $h$ and stores it in $x$. -
$p$ | $q$ or 'Alternatives['$p$, $q$']' -
matches either pattern $p$ or $q$. -
$p$ '?' $t$ or 'PatternTest['$p$, $t$']' -
matches $p$ if the test $t[p]$ yields 'True'. -
$p$ '/;' $c$ or 'Condition['$p$, $c$']' -
matches $p$ if condition $c$ holds. -
'Verbatim'[$p$] -
matches an expression that equals $p$, without regarding patterns inside $p$. -
- -As before, patterns can be used to define functions: - - >> g[s___] := Plus[s] ^ 2 - >> g[1, 2, 3] - = 36 - -'MatchQ[$e$, $p$]' tests whether $e$ matches $p$: - >> MatchQ[a + b, x_ + y_] - = True - - >> MatchQ[6, _Integer] - = True - -'ReplaceAll' ('/.') replaces all occurrences of a pattern in an expression using a 'Rule' given by '->': - >> {2, "a", 3, 2.5, "b", c} /. x_Integer -> x ^ 2 - = {4, a, 9, 2.5, b, c} - -You can also specify a list of rules: - >> {2, "a", 3, 2.5, "b", c} /. {x_Integer -> x ^ 2.0, y_String -> 10} - = {4., 10, 9., 2.5, 10, c} - -'ReplaceRepeated' ('//.') applies a set of rules repeatedly, until the expression doesn\'t change anymore: - >> {2, "a", 3, 2.5, "b", c} //. {x_Integer -> x ^ 2.0, y_String -> 10} - = {4., 100., 9., 2.5, 100., c} - -There is a "delayed" version of 'Rule' which can be specified by ':>' (similar to the relation of ':=' to '='): - - >> a :> 1 + 2 - = a ⧴ 1 + 2 - - >> a -> 1 + 2 - = a ⇾ 3 - -This is useful when the right side of a rule should not be evaluated immediately (before matching): - >> {1, 2} /. x_Integer -> N[x] - = {1, 2} - -Here, 'N' is applied to 'x' before the actual matching, simply yielding 'x'. With a delayed rule, this can be avoided: - >> {1, 2} /. x_Integer :> N[x] - = {1., 2.} - -'ReplaceAll' and 'ReplaceRepeated' take the first possible match. -However, 'ReplaceList' returns a list of all possible matches. -This can be used to get all subsequences of a list, for instance: - - >> ReplaceList[{a, b, c}, {___, x__, ___} -> {x}] - = {{a}, {a, b}, {a, b, c}, {b}, {b, c}, {c}} -'ReplaceAll' would just return the first expression: - >> ReplaceAll[{a, b, c}, {___, x__, ___} -> {x}] - = {a} - -In addition to defining functions as rules for certain patterns, there are pure functions that can be defined using the '&' postfix operator, where everything before it is treated as the function body, and '#' can be used as an argument placeholder: - - >> h = # ^ 2 &; - >> h[3] - = 9 - -Multiple arguments can simply be indexed: - >> sum = #1 + #2 &; - >> sum[4, 6] - = 10 - -It is also possible to name arguments using 'Function': - >> prod = Function[{x, y}, x * y]; - >> prod[4, 6] - = 24 - -Pure functions are very handy when functions are used only locally, e.g., when combined with operators like 'Map': - >> # ^ 2 & /@ Range[5] - = {1, 4, 9, 16, 25} - -Sort using the second element of a list as a key: - >> Sort[{{x, 10}, {y, 2}, {z, 5}}, #1[[2]] < #2[[2]] &] - = {{y, 2}, {z, 5}, {x, 10}} - -Functions can be applied using prefix or postfix notation, in addition to using '[]': - >> h @ 3 - = 9 - - >> 3 // h - = 9 - - ## -
- -
-Like most programming languages, \Mathics3 has common program-flow control statements for conditions, loops, etc.: -
-
'If'[$cond$, $pos$, $neg$] -
returns $pos$ if $cond$ evaluates to 'True', and $neg$ if it evaluates to 'False'. -
'Which'[$cond_1$, $expr_1$, $cond_2$, $expr_2$, ...] -
yields $expr_1$ if $cond_1$ evaluates to 'True', $expr_2$ if $cond_2$ evaluates to 'True', etc. -
'Do'[$expr$, {$i$, $max$}] -
evaluates $expr$ $max$ times, substituting $i$ in $expr$ with values from 1 to $max$. -
'For'[$start$, $test$, $incr$, $body$] -
evaluates $start$, and then iteratively $body$ and $incr$ as long as $test$ evaluates to 'True'. -
'While'[$test$, $body$] -
evaluates $body$ as long as $test$ evaluates to 'True'. -
'Nest'[$f$, $expr$, $n$] -
returns an expression with $f$ applied $n$ times to $expr$. -
'NestWhile'[$f$, $expr$, $test$] -
applies a function $f$ repeatedly on an expression $expr$, until - applying $test$ on the result no longer yields 'True'. -
'FixedPoint'[$f$, $expr$] -
starting with $expr$, repeatedly applies $f$ until the result no longer changes. -
- - >> If[2 < 3, a, b] - = a - >> x = 3; Which[x < 2, a, x > 4, b, x < 5, c] - = c - -Compound statements can be entered with ';'. The result of a compound expression is its last part or 'Null' if it ends with a ';'. - >> 1; 2; 3 - = 3 - >> 1; 2; 3; - -Inside 'For', 'While', and 'Do' loops, 'Break[]' exits the loop, and 'Continue[]' continues to the next iteration. - - >> For[i = 1, i <= 5, i++, If[i == 4, Break[]]; Print[i]] - | 1 - | 2 - | 3 - - ## - -
- -
-By default, all symbols are "global" in \Mathics3, i.e., they can be read and written in any part of your program. -However, sometimes "local" variables are needed in order not to disturb the global namespace. \Mathics3 provides two ways to support this: -
    -
  • lexical scoping by 'Module', and -
  • dynamic scoping by 'Block'. -
-
-
'Module'[{$vars$}, $expr$] -
localizes variables by giving them a temporary name of the form - 'name\$number', where number is the current value of '\$ModuleNumber'. Each time a module - is evaluated, '\$ModuleNumber' is incremented. - -
'Block'[{$vars$}, $expr$] -
temporarily stores the definitions of certain variables, evaluates - $expr$ with reset values, and restores the original definitions afterward. -
- -Both scoping constructs shield inner variables from affecting outer ones: - - >> t = 3; - >> Module[{t}, t = 2] - = 2 - >> Block[{t}, t = 2] - = 2 - >> t - = 3 - -'Module' creates new variables: - >> y = x ^ 3; - - >> Module[{x = 2}, x * y] - = 2 x ^ 3 - -'Block' does not: - >> Block[{x = 2}, x * y] - = 16 - -Thus, 'Block' can be used to temporarily assign a value to a variable: - >> expr = x ^ 2 + x; - >> Block[{x = 3}, expr] - = 12 - - >> x - = x - -'Block' can also be used to temporarily change the value of system parameters: - - >> Block[{$RecursionLimit = 30}, x = 2 x] - : Recursion depth of 30 exceeded. - = $Aborted - - >> f[x_] := f[x + 1]; Block[{$IterationLimit = 30}, f[1]] - : Iteration limit of 30 exceeded. - = $Aborted - -It is common to use scoping constructs for function definitions with local variables: - - >> fac[n_] := Module[{k, p}, p = 1; For[k = 1, k <= n, ++k, p *= k]; p] - >> fac[10] - = 3628800 - - >> 10! - = 3628800 - - ## -
- -
-The way results are formatted for output in \Mathics3 is rather sophisticated; compatibility with \Mathematica is one of the design goals. It can be summed up in the following procedure: -
    -
  1. The result of the query is calculated. -
  2. The result is stored in 'Out' (which '%' is a shortcut for). -
  3. Any 'Format' rules for the desired output form are applied to the result. In the console version of \Mathics3, the result is formatted as 'OutputForm'; 'MathMLForm' for the 'StandardForm' is used in the interactive Web version; and 'TeXForm' for the 'StandardForm' is used to generate the \LaTeX version of this documentation. -
  4. 'MakeBoxes' is applied to the formatted result, again given either 'OutputForm', 'MathMLForm', or 'TeXForm' depending on the execution context of \Mathics3. This yields a new expression consisting of "box constructs". -
  5. The boxes are turned into an ordinary string and displayed in the console, sent to the browser, or written to the documentation \LaTeX file. -
-As a consequence, there are various ways to implement your own formatting strategy for custom objects. - -You can specify how a symbol shall be formatted by assigning values to 'Format': - >> Format[x] = "y"; - >> x - = y -This will apply to 'MathMLForm', 'OutputForm', 'StandardForm', 'TeXForm', and 'TraditionalForm'. - - >> x // InputForm - = x -You can specify a specific form in the assignment to 'Format': - >> Format[x, TeXForm] = "z"; - >> x // TeXForm - = \text{z} - -Special formats might not be very relevant for individual symbols, but rather for custom functions (objects): - >> Format[r[args___]] = ""; - >> r[1, 2, 3] - = -You can use several helper functions to format expressions: -
-
'Infix'[$expr$, $op$] -
formats the arguments of $expr$ with infix operator $op$. -
'Prefix'[$expr$, $op$] -
formats the argument of $expr$ with prefix operator $op$. -
'Postfix'[$expr$, $op$] -
formats the argument of $expr$ with postfix operator $op$. -
'StringForm'[$form$, $arg1$, $arg2$, ...] -
formats arguments using a format string. -
- - >> Format[r[args___]] = Infix[{args}, "~"]; - >> r[1, 2, 3] - = 1 ~ 2 ~ 3 - >> StringForm["`1` and `2`", n, m] - = n and m - -There are several methods to display expressions in 2-D: -
-
'Row[{...}]' -
displays expressions in a row. -
'Grid[{{...}}]' -
displays a matrix in two-dimensional form. -
'Subscript'[$expr$, $i_1$, $i_2$, ...] -
displays $expr$ with subscript indices $i_1$, $i_2$, ... -
'Superscript'[$expr$, $exp$] -
displays $expr$ with superscript (exponent) $exp$. -
- - >> Grid[{{a, b}, {c, d}}] - = a b - . - . c d - - >> Subscript[a, 1, 2] // TeXForm - = a_{1, 2} - - - >> MakeBoxes[b, TraditionalForm] = "c"; - >> b - = b - -## This will be displayed as c in the browser and LaTeX documentation. -In the browser, this will even apply to 'TeXForm', because 'TeXForm' implies 'TraditionalForm': - >> b // TeXForm - = ... - -Notice however that in the CLI, default output formatted in 'OutputForm', -which do not take into account 'MakeBoxes' rules. The same happens if we -ask explicitly for this form: - - >> b // OutputForm // TeXForm - = \text{b} - -In a similar way, in the CLI, we can ask for TraditionalForm explicitly - >> b // TraditionalForm // TeXForm - = c - -'MakeBoxes' for another form: - >> MakeBoxes[TeXForm[b], form_] = "d"; - >> b // TeXForm - = ... - -You can cause a much bigger mess by overriding 'MakeBoxes' than by sticking to 'Format', e.g. generate invalid XML: - - >> MakeBoxes[MathMLForm[c], form_] := "> c // MathMLForm //StandardForm - = > c + 1 // MathMLForm - = ... - -That\'s because 'MathMLForm' will, when not overridden for a special case, call 'StandardForm' first. -'Format' will produce escaped output: - - >> Format[d, MathMLForm] = "> d // MathMLForm - = ... - - >> d + 1 // MathMLForm - = ... - -For instance, you can override 'MakeBoxes' to format lists in a different way: - >> MakeBoxes[{items___}, TraditionalForm] := RowBox[{"[", Sequence @@ Riffle[MakeBoxes /@ {items}, " "], "]"}] - >> {1, 2, 3} - = {1, 2, 3} - - >> {1, 2, 3} // TeXForm - = [1 2 3] - -However, this will not be accepted as input to \Mathics3 anymore: - >> [1 2 3] - : ... - - >> Clear[MakeBoxes] - -By the way, 'MakeBoxes' is the only built-in symbol that is not protected by default: - >> Attributes[MakeBoxes] - = {HoldAllComplete} - -'MakeBoxes' must return a valid box construct: - >> MakeBoxes[squared[args___], TraditionalForm] := squared[args] ^ 2 - >> squared[1, 2] - = squared[1, 2] - -## different in LaTeX and MathML - X> squared[1, 2] // TeXForm - : Power[squared[1, 2], 2] is not a valid box structure. - = - -The desired effect can be achieved in the following way: - >> MakeBoxes[squared[args___], TraditionalForm] := SuperscriptBox[RowBox[{MakeBoxes[squared], "[", RowBox[Riffle[MakeBoxes[#]& /@ {args}, ","]], "]"}], 2] - >> squared[1, 2] - = squared[1, 2] - - #> squared[1, 2] // TeXForm - = \text{squared}[1, 2]^2 - -You can view the box structure of a formatted expression using 'ToBoxes': - - >> ToBoxes[m + n] - = RowBox[{m, +, n}] - -The list elements in this 'RowBox' are strings, though string delimiters are not shown in the default output form: - - >> InputForm[%] - = RowBox[{"m", "+", "n"}] - - ## -
- -
-Two-dimensional graphics can be created using the function 'Graphics' and a list of graphics primitives. For three-dimensional graphics, see the following section. The following primitives are available: -
-
'Circle'[{$x$, $y$}, $r$] -
draws a circle. -
'Disk'[{$x$, $y$}, $r$] - -
draws a filled disk. -
'Rectangle'[{$x_1$, $y_1$}, {$x_2$, $y_2$}] - -
draws a filled rectangle. -
'Polygon'[{{$x_1$, $y_1$}, {$x_2$, $y_2$}, ...}] - -
draws a filled polygon. -
'Line'[{{$x_1$, $y_1$}, {$x_2$, $y_2$}, ...}] - -
draws a line. -
'Text'[$text$, {$x$, $y$}] -
draws text in a graphics. -
- - >> Graphics[{Circle[{0, 0}, 1]}] - = -Graphics- - - >> Graphics[{Line[{{0, 0}, {0, 1}, {1, 1}, {1, -1}}], Rectangle[{0, 0}, {-1, -1}]}] - = -Graphics- - -Colors can be added in the list of graphics primitives to change the drawing color. The following ways to specify colors are supported: -
-
'RGBColor'[$r$, $g$, $b$] -
specifies a color using red, green, and blue. - -
'CMYKColor'[$c$, $m$, $y$, $k$] -
specifies a color using cyan, magenta, yellow, and black. - -
'Hue'[$h$, $s$, $b$] -
specifies a color using hue, saturation, and brightness. - -
'GrayLevel'[$l$] -
specifies a color using a gray level. -
- -All components range from 0 to 1. Each color function can be supplied with an additional argument specifying the desired opacity ("alpha") of the color. There are many predefined colors, such as 'Black', 'White', 'Red', 'Green', 'Blue', etc. - - >> Graphics[{Red, Disk[]}] - = -Graphics- - -Table of hues: - - >> Graphics[Table[{Hue[h, s], Disk[{12h, 8s}]}, {h, 0, 1, 1/6}, {s, 0, 1, 1/4}]] - = -Graphics- - - ## - -Colors can be mixed and altered using the following functions: -
-
'Blend'[{$color1$, $color2$}, $ratio$] -
mixes $color1$ and $color2$ with $ratio$, where a ratio of 0 returns $color1$ and a ratio of 1 returns $color2$. -
'Lighter'[$color$] -
makes $color$ lighter (mixes it with 'White'). -
'Darker'[$color$] -
makes $color$ darker (mixes it with 'Black'). -
- - >> Graphics[{Lighter[Red], Disk[]}] - = -Graphics- - -'Graphics' produces a 'GraphicsBox': - >> Head[ToBoxes[Graphics[{Circle[]}]]] - = GraphicsBox - - ## -
- -
-Three-dimensional graphics are created using the function 'Graphics3D' and a list of 3D primitives. The following primitives are supported so far: -
-
'Polygon'[{{$x_1$, $y_1$, $z_1$}, {$x_2$, $y_2$, $z_3$}, ...}] -
draws a filled polygon. -
'Line'[{{$x_1$, $y_1$, $z_1$}, {$x_2$, $y_2$, $z_3$}, ...}] -
draws a line. -
'Point'[{$x_1$, $y_1$, $z_1$}] -
draws a point. -
- - >> Graphics3D[Polygon[{{0,0,0}, {0,1,1}, {1,0,0}}]] - = -Graphics3D- - -Colors can also be added to three-dimensional primitives. - >> Graphics3D[{Orange, Polygon[{{0,0,0}, {1,1,1}, {1,0,0}}]}, Axes->True] - = -Graphics3D- - -'Graphics3D' produces a 'Graphics3DBox': - >> Head[ToBoxes[Graphics3D[{Polygon[]}]]] - = Graphics3DBox - - ## -
- -
-\Mathics3 can plot functions: - >> Plot[Sin[x], {x, 0, 2 Pi}] - = -Graphics- -You can also plot multiple functions at once: - >> Plot[{Sin[x], Cos[x], x ^ 2}, {x, -1, 1}] - = -Graphics- - -Two-dimensional functions can be plotted using 'DensityPlot': - >> DensityPlot[x ^ 2 + 1 / y, {x, -1, 1}, {y, 1, 4}] - = -Graphics- -You can use a custom coloring function: - >> DensityPlot[x ^ 2 + 1 / y, {x, -1, 1}, {y, 1, 4}, ColorFunction -> (Blend[{Red, Green, Blue}, #]&)] - = -Graphics- -One problem with 'DensityPlot' is that it\'s still very slow, basically due to function evaluation being pretty slow in general---and 'DensityPlot' has to evaluate a lot of functions. - -Three-dimensional plots are supported as well: - >> Plot3D[Exp[x] Cos[y], {x, -2, 1}, {y, -Pi, 2 Pi}] - = -Graphics3D- - - ## -
- - - - - - -Here are some examples written by Jan Pöschko that come from the very first version. - -
-Let's sketch the function - >> f[x_] := 4 x / (x ^ 2 + 3 x + 5) - -The derivatives are: - >> {f'[x], f''[x], f'''[x]} // Together - = {-4 (-5 + x ^ 2) / (5 + 3 x + x ^ 2) ^ 2, 8 (-15 - 15 x + x ^ 3) / (5 + 3 x + x ^ 2) ^ 3, -24 (-20 - 60 x - 30 x ^ 2 + x ^ 4) / (5 + 3 x + x ^ 2) ^ 4} - -To get the extreme values of 'f', compute the zeroes of the first derivatives: - >> extremes = Solve[f'[x] == 0, x] - = {{x ⇾ -Sqrt[5]}, {x ⇾ Sqrt[5]}} - -And test the second derivative: - >> f''[x] /. extremes // N - = {1.65086, -0.064079} - -Thus, there is a local maximum at 'x = Sqrt[5]' and a local minimum at 'x = -Sqrt[5]'. -Compute the inflection points numerically, chopping imaginary parts close to 0: - >> inflections = Solve[f''[x] == 0, x] // N // Chop - = {{x ⇾ -1.0852}, {x ⇾ -3.21463}, {x ⇾ 4.29983}} - -Insert into the third derivative: - >> f'''[x] /. inflections - - = {-3.67683, 0.694905, 0.00671894} -Being different from 0, all three points are actual inflection points. -'f' is not defined where its denominator is 0: - >> Solve[Denominator[f[x]] == 0, x] - = {{x ⇾ -3 / 2 - I / 2 Sqrt[11]}, {x ⇾ -3 / 2 + I / 2 Sqrt[11]}} - -These are non-real numbers; consequently, 'f' is defined on all real numbers. -The behaviour of 'f' at the boundaries of its definition: - >> Limit[f[x], x -> Infinity] - = 0 - >> Limit[f[x], x -> -Infinity] - = 0 - -Finally, let\'s plot 'f': - >> Plot[f[x], {x, -8, 6}] - = -Graphics- - - ## -
- - -
-Let\'s consider the matrix - >> A = {{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}; - >> MatrixForm[A] - = 1 1 0 - . - . 1 0 1 - . - . 0 1 1 - -We can compute its eigenvalues and eigenvectors: - >> Eigenvalues[A] - = {2, -1, 1} - >> Eigenvectors[A] - = {{1, 1, 1}, {1, -2, 1}, {-1, 0, 1}} -This yields the diagonalization of 'A': - >> T = Transpose[Eigenvectors[A]]; MatrixForm[T] - = 1 1 -1 - . - . 1 -2 0 - . - . 1 1 1 - >> Inverse[T] . A . T // MatrixForm - = 2 0 0 - . - . 0 -1 0 - . - . 0 0 1 - >> % == DiagonalMatrix[Eigenvalues[A]] - = True - -We can solve linear systems: - >> LinearSolve[A, {1, 2, 3}] - = {0, 1, 2} - >> A . % - = {1, 2, 3} -In this case, the solution is unique: - >> NullSpace[A] - = {} - -Let\'s consider a singular matrix: - >> B = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}; - >> MatrixRank[B] - = 2 - >> s = LinearSolve[B, {1, 2, 3}] - = {-1 / 3, 2 / 3, 0} - >> NullSpace[B] - = {{1, -2, 1}} - >> B . (RandomInteger[100] * %[[1]] + s) - = {1, 2, 3} - - ## -
- - -
-Let\'s play with dice in this example. A 'Dice' object shall represent the outcome of a series of rolling a dice with six faces, e.g.: - >> Dice[1, 6, 4, 4] - = Dice[1, 6, 4, 4] - -Like in most games, the ordering of the individual throws does not matter. We can express this by making 'Dice' 'Orderless': - >> SetAttributes[Dice, Orderless] - >> Dice[1, 6, 4, 4] - = Dice[1, 4, 4, 6] - -A dice object shall be displayed as a rectangle with the given number of points in it, positioned like on a traditional dice: - >> Format[Dice[n_Integer?(1 <= # <= 6 &)]] := Block[{p = 0.2, r = 0.05}, Graphics[{EdgeForm[Black], White, Rectangle[], Black, EdgeForm[], If[OddQ[n], Disk[{0.5, 0.5}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{p, p}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{1 - p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{1 - p, p}, r]], If[n === 6, {Disk[{p, 0.5}, r], Disk[{1 - p, 0.5}, r]}]}, ImageSize ⇾ Tiny]] - >> Dice[1] - = -Graphics- - - #> Definition[Dice] - = Attributes[Dice] = {Orderless} - . - . Format[Dice[n_Integer ? (1 <= #1 <= 6&)], MathMLForm] = Block[{p = 0.2, r = 0.05}, Graphics[{EdgeForm[Black], White, Rectangle[], Black, EdgeForm[], If[OddQ[n], Disk[{0.5, 0.5}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{p, p}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{1 - p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{1 - p, p}, r]], If[n === 6, {Disk[{p, 0.5}, r], Disk[{1 - p, 0.5}, r]}]}, ImageSize -> Tiny]] - . - . Format[Dice[n_Integer ? (1 <= #1 <= 6&)], OutputForm] = Block[{p = 0.2, r = 0.05}, Graphics[{EdgeForm[Black], White, Rectangle[], Black, EdgeForm[], If[OddQ[n], Disk[{0.5, 0.5}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{p, p}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{1 - p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{1 - p, p}, r]], If[n === 6, {Disk[{p, 0.5}, r], Disk[{1 - p, 0.5}, r]}]}, ImageSize -> Tiny]] - . - . Format[Dice[n_Integer ? (1 <= #1 <= 6&)], StandardForm] = Block[{p = 0.2, r = 0.05}, Graphics[{EdgeForm[Black], White, Rectangle[], Black, EdgeForm[], If[OddQ[n], Disk[{0.5, 0.5}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{p, p}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{1 - p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{1 - p, p}, r]], If[n === 6, {Disk[{p, 0.5}, r], Disk[{1 - p, 0.5}, r]}]}, ImageSize -> Tiny]] - . - . Format[Dice[n_Integer ? (1 <= #1 <= 6&)], TeXForm] = Block[{p = 0.2, r = 0.05}, Graphics[{EdgeForm[Black], White, Rectangle[], Black, EdgeForm[], If[OddQ[n], Disk[{0.5, 0.5}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{p, p}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{1 - p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{1 - p, p}, r]], If[n === 6, {Disk[{p, 0.5}, r], Disk[{1 - p, 0.5}, r]}]}, ImageSize -> Tiny]] - . - . Format[Dice[n_Integer ? (1 <= #1 <= 6&)], TraditionalForm] = Block[{p = 0.2, r = 0.05}, Graphics[{EdgeForm[Black], White, Rectangle[], Black, EdgeForm[], If[OddQ[n], Disk[{0.5, 0.5}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{p, p}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{1 - p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{1 - p, p}, r]], If[n === 6, {Disk[{p, 0.5}, r], Disk[{1 - p, 0.5}, r]}]}, ImageSize -> Tiny]] - -The empty series of dice shall be displayed as an empty dice: - >> Format[Dice[]] := Graphics[{EdgeForm[Black], White, Rectangle[]}, ImageSize -> Tiny] - >> Dice[] - = -Graphics- - -Any non-empty series of dice shall be displayed as a row of individual dice: - >> Format[Dice[d___Integer?(1 <= # <= 6 &)]] := Row[Dice /@ {d}] - >> Dice[1, 6, 4, 4] - = -Graphics--Graphics--Graphics--Graphics- - -Note that \Mathics3 will automatically sort the given format rules according to their "generality", so the rule for the empty dice does not get overridden by the rule for a series of dice. -We can still see the original form by using 'InputForm': - - >> Dice[1, 6, 4, 4] // InputForm - = Dice[1, 4, 4, 6] - -We want to combine 'Dice' objects using the '+' operator: - >> Dice[a___] + Dice[b___] ^:= Dice[Sequence @@ {a, b}] - -The '^:=' ('UpSetDelayed') tells \Mathics3 to associate this rule with 'Dice' instead of 'Plus'. - -'Plus' is protected---we would have to unprotect it first: - >> Dice[a___] + Dice[b___] := Dice[Sequence @@ {a, b}] - : Tag Plus in Dice[a___] + Dice[b___] is Protected. - = $Failed - -We can now combine dice: - >> Dice[1, 5] + Dice[3, 2] + Dice[4] - = -Graphics--Graphics--Graphics--Graphics--Graphics- - - #> Dice[1, 5] + Dice[3, 2] + Dice[4] // InputForm - = Dice[1, 2, 3, 4, 5] - -Let\'s write a function that returns the sum of the rolled dice: - >> DiceSum[Dice[d___]] := Plus @@ {d} - >> DiceSum @ Dice[1, 2, 5] - = 8 - -And now let\'s put some dice into a table: - >> Table[{Dice[Sequence @@ d], DiceSum @ Dice[Sequence @@ d]}, {d, {{1, 2}, {2, 2}, {2, 6}}}] // TableForm - = -Graphics--Graphics- 3 - . - . -Graphics--Graphics- 4 - . - . -Graphics--Graphics- 8 - - ## - -It is not very sophisticated from a mathematical point of view, but it\'s beautiful. - -
- - - - - - - -In the future, we plan on providing an interface to Jupyter as a separate package. - -However, as part \Mathics3, we currently distribute a browser-based interface using long-term-release (LTS) Django 4. - -Since a Jupyter-based interface seems preferable to the home-grown interface described here, it is doubtful whether there will be future improvements to this interface. - -When you enter Mathics3 in the top after the Mathics3 logo and the word "Mathics3" you'll see a menubar. - -It looks like this: - - - -These save and load worksheets, share sessions, run a gallery of examples, go to the GitHub organization page, and provide information about the particular Mathics3 installation. - -These are explained in the sections below. - -
- -For the most part, the application is a single-page application. -Assuming you are running locally or on a host called 'localhost' using the default port, 8000, here are some URLs and what they do: - -
-
http://localhost:8000 -
The single-page application; the main page. -
http://localhost:8000/about -
A page giving: -
    -
  • the software versions of this package and the version information of important software this uses. -
  • directory path information for the current setup -
  • machine information -
  • system information -
  • customizable system settings -
-
http://localhost:8000/doc -
An online formatted version of the documentation, which includes this text. You can see this as a right-side frame of the main page, when clicking "?" on the right-hand upper corner. -
-
-
- - - -Worksheets exist in the browser window only and are not stored on the server by default. To save all your queries and results, use the Save button, which is the middle graphic of the menu bar. It looks like this: - - - -Depending on browser, desktop, and OS settings, the "Ctrl+S" key combination may do the same thing. - - - -Saved worksheets can be loaded or deleted using the File Open button, which is the left-most button in the menu bar. It looks like this: - - - -Depending on browser, desktop, and OS settings, the "Ctrl+O" key combination may do the same thing. - -A pop-up menu should appear with the list of saved worksheets, with an option to either load or delete the worksheet. - -
- -
- -We have several examples showing off briefly some of the capabilities of the system. These are run when you hit the button that looks like this: - - - -It is also shown in the pop-up text that appears when Mathics3 is first run. - -
- -
- -When you use the Django-based Web interface of \Mathics3, a browser session is created. Cookies have to be enabled to allow this. Your session holds a key that is used to access your definitions that are stored in a database on the server. As long as you do not clear the cookies in your browser, your definitions will remain even when you close and re-open the browser. - -This implies that you should not store sensitive, private information in \Mathics3 variables when using the online Web interface. In addition to their values being stored in a database on the server, your queries might be saved for debugging purposes. However, the fact that they are transmitted over plain HTTP should make you aware that you should not transmit any sensitive information. When you want to do calculations with that kind of stuff, simply install \Mathics3 locally! - -If you are using a public terminal, erase all your definitions and close the browser window. When you use \Mathics3 in a browser, use the command 'Quit[]' or its alias, 'Exit[]'. - -When you reload the current page in a browser using the default URL, e.g., http:localhost:8000, all of the previous input and output disappear. - -On the other hand, Definitions as described above do not, unless 'Quit[]' or 'Exit[]' is entered as described above. - -If you want a URL that records the input entered, the Generate Input Hash button does this. The button looks like this: - - - -For example, assuming you have a \Mathics3 server running at port 8000 on localhost, and you enter the URL http://localhost:8000/#cXVlcmllcz14, you should see a single line of input containing 'x' entered. - -Of course, the value of this when evaluated depends on whether 'x' has been previously defined. - -
- -
- -There are some keyboard commands you can use in the Django-based Web interface of \Mathics3. - -
-
'Shift+Return'
-
This evaluates the current cell (the most important one, for sure). On the right-hand side, you may also see an "=" button, which can be clicked to do the same thing.
- -
'Ctrl+D'
-
This moves the cursor over to the documentation pane on the right-hand side. From here you can perform a search for a pre-defined \Mathics3 function or symbol. Clicking on the "?" symbol on the right-hand side does the same thing.
- -
'Ctrl+C'
-
This moves the cursor back to the document code pane area where you type \Mathics3 expressions
- -
'Ctrl+S'
-
Save worksheet
- -
'Ctrl+O'
-
Open worksheet
- -
'Right Click' on MathML output
-
Opens MathJax Menu
-
- -Of special note is the last item on the list: right-click to open the MathJax menu. Under "Math Setting"/"Zoom Trigger", if the zoom trigger is set to a value other than "No Zoom", then when that trigger is applied to MathML-formatted output, the MathML formula pops up a window for the formula. The window can show the formula larger. Also, this is a way to see output that is too large to fit on the display since the window allows for scrolling. - -Keyboard command behavior depends on the browser used, the operating system, desktop settings, and customization. We hook into the desktop "Open the current document" and "Save the current document" functions that many desktops provide. For example see: :Finding keyboard shortcuts: https://help.ubuntu.com/community/KeyboardShortcuts#Finding_keyboard_shortcuts - -Often, these shortcut keyboard commands are only recognized when a text field has focus; otherwise, the browser might do some browser-specific actions, like setting a bookmark, etc. - -
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-\Mathics includes data from Wikipedia that is published under the Creative Commons Attribution-Sharealike 3.0 Unported License and the GNU Free Documentation License contributed by the respective authors that are listed on the websites specified in "data/elements.txt". -
- -\Mathics includes the following software published under the following licenses. - - diff --git a/mathics/doc/documentation/images/.gitignore b/mathics/doc/documentation/images/.gitignore deleted file mode 100644 index b890c95fa..000000000 --- a/mathics/doc/documentation/images/.gitignore +++ /dev/null @@ -1 +0,0 @@ -/classes.pdf diff --git a/mathics/doc/documentation/images/classes.dia b/mathics/doc/documentation/images/classes.dia deleted file mode 100644 index 0c88393c57a51bb6e99867fe7de9c8239b8cca88..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 6076 zcmaLZXEdB$v-m2<`|R`S>~)wE39J;sS70L^A)JryiG?F z@&}#@C09AR*d}N04!KksKsL1vd5LJlhWIWI>jFS23R30dP*k|LXG6$aJ@dXl{KfXQ4&~gy>R-L{&_F^X2@NRJ1pMq^-8dLm2SqIHWik9SH%uIlShbNe_Qj#(2-gGVPA zj*kqpk9mt}su_CMUx~OlzprNCfghp$RnArxrM{NJf1ZVBcBBm6zWb?>Nz?p&Q=mZG z!rPqg_ln&X)7&drfr8b96RUqzsw#~AGuZ=uE5rRcb2iQqP=AyNA?;SE!7JiPlUyIZ@P#%6gqP`Js9X)~uaiHzJyrG-Z<3fmL 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znF0thy}b7yC}K(zk{!;0$ZIjRk4-AKTML^`-t>2yK7|WG|m(4pIMc0lm}OckGSi6TbIjLI9-8E-Oq-zE6d&?rU}relBk{hlkW!aNVn3ujFBN7iN3^Pr{}CCkPj>Nr#z}h4y^c zPvdUB8|s;!W$+CXe?(0=H-ysVx_6U1nR{@bFJC%PEkoSF=p5*`_rfQM2JX~j7JZoO z!@c^5u+E-O|j5E_7S zOu`<^PGDg0ATKX5;zU>1KJDg~&^}qt+FJ1ohwT&GF#-_y$C3OWJ{SAHv_S-YZ;Un< gJu&{5cc#Vc?GDY - - - - - - - - - Mathics3 - - - diff --git a/mathics/doc/images/logo-Mathics3.svg b/mathics/doc/images/logo-Mathics3.svg deleted file mode 100644 index e0b429959..000000000 --- a/mathics/doc/images/logo-Mathics3.svg +++ /dev/null @@ -1,109 +0,0 @@ - - - - - - - - - - - - - - - Mathics3 - - Mathics3 - - diff --git a/mathics/doc/images/logo-heptatom-Mathics3.svg b/mathics/doc/images/logo-heptatom-Mathics3.svg deleted file mode 100644 index cef33992d..000000000 --- a/mathics/doc/images/logo-heptatom-Mathics3.svg +++ /dev/null @@ -1,128 +0,0 @@ - - - -image/svg+xmlMathics3Mathics3 diff --git a/mathics/doc/images/logo-heptatom.svg b/mathics/doc/images/logo-heptatom.svg deleted file mode 100644 index 31efefb0f..000000000 --- a/mathics/doc/images/logo-heptatom.svg +++ /dev/null @@ -1,100 +0,0 @@ - - - - - - - - - - - - - - - - - - - image/svg+xml - - - - - - - - - diff --git a/mathics/doc/latex/.gitignore b/mathics/doc/latex/.gitignore deleted file mode 100644 index df2a62edc..000000000 --- a/mathics/doc/latex/.gitignore +++ /dev/null @@ -1,49 +0,0 @@ -/Mathics3-logo-nodrop.pdf -/Mathics3-logo.pdf -/core-version.tex -/doc_latex_data.pcl -/documentation.log -/documentation.tex -/documentation.tex-before-sed -/images/ -/logo-heptatom.pdf -/mathics3-*.asy -/mathics3-*.dvi -/mathics3-*.dvi -/mathics3-*.eps -/mathics3-*.fls -/mathics3-*.pdf -/mathics3-*.ps -/mathics3-test.aux -/mathics3-test.dvi -/mathics3-test.fdb_latexmk -/mathics3-test.fls -/mathics3-test.idx -/mathics3-test.ilg -/mathics3-test.ind -/mathics3-test.log -/mathics3-test.maf -/mathics3-test.mtc* -/mathics3-test.out -/mathics3-test.pdf -/mathics3-test.pre -/mathics3-test.tex -/mathics3-test.toc -/mathics3.aux -/mathics3.dvi -/mathics3.fdb_latexmk -/mathics3.fls -/mathics3.idx -/mathics3.ilg -/mathics3.ind -/mathics3.log -/mathics3.maf -/mathics3.mtc* -/mathics3.out -/mathics3.pdf -/mathics3.pre -/mathics3.toc -/static-images -/testing.aux -/testing.tex -/version-info.tex diff --git a/mathics/doc/latex/Makefile b/mathics/doc/latex/Makefile deleted file mode 100644 index f9fa143fc..000000000 --- a/mathics/doc/latex/Makefile +++ /dev/null @@ -1,89 +0,0 @@ -.PHONY: all clean doc doc-data latex pdf texdoc mathics-xetex.pdf mathics-asy-pdf - -PYTHON ?= python -XETEX ?= xelatex -LATEXMK ?= latexmk -BASH ?= /bin/bash -#-quiet - -# Get all matching .asy files using shell globbing -ASY_FILES := $(shell ls mathics3-[0-9].asy mathics3-[0-9][0-9].asy mathics3-[0-9][0-9][0-9].asy 2>/dev/null) - -# Derive the PDF filenames from the .asy filenames -ASY_PDF_FILES := $(ASY_FILES:.asy=.pdf) - -# Pattern rule to convert and asymptote .asy file to a to .pdf figure. -# This matches any .pdf file and looks for a corresponding .asy file -%.pdf: %.asy - asy -f pdf $< - -# Location of Python Pickle file containing doctest tests and test results formatted for LaTeX -DOCTEST_LATEX_DATA_PCL ?= $(HOME)/.local/var/Mathics3/doctest_latex_data.pcl - -# Variable indicating Mathics3 Modules you have available on your system, in latex2doc option format -MATHICS3_MODULE_OPTION ?=--load-module pymathics.graph,pymathics.natlang - -#: Default target: Make everything -all doc texdoc: mathics3.pdf - -$(DOCTEST_LATEX_DATA_PCL): - $(MAKE) -C ../../.. latex-doctest-data - -#: Create LaTeX doctest test data and test results that is used to build LaTeX PDF -# For LaTeX docs we assume Unicode -latex-doctest-data: - MATHICS_CHARACTER_ENCODING="UTF-8" $(PYTHON) ../../gather_latex_doc.py --output $(MATHICS3_MODULE_OPTION) --doc-only - -mathics3-title.pdf: - cp mathics3-title.pdf-src mathics3-title.pdf - -#: Build somewhat incomplete mathics DVI -mathics3.dvi: mathics3.tex documentation.tex - $(LATEXMK) -dvi -f --verbose mathics3 - -#: Build main Mathics3 PDF -mathics3.pdf: mathics3.tex documentation.tex static-images/logo-heptatom-Mathics3.pdf version-info.tex $(DOCTEST_LATEX_DATA_PCL) $(ASY_FILES) - $(LATEXMK) --verbose -f -pdf -pdflatex="$(XETEX) -halt-on-error" mathics3 - -#: Rebuild all Aymptote PDF figures from .asy files -mathics3-asy-pdf: $(ASY_PDF_FILES) - -#: Use this if latexmk des not work. It runx -mathics3-xetex.pdf: mathics3.tex documentation.tex static-images/logo-heptatom-Mathics3.pdf logo-heptatom.pdf version-info.tex $(DOCTEST_LATEX_DATA_PCL) - xelatex -halt-on-error -recorder "mathics3.tex" - -#: File containing version information -version-info.tex: doc2latex.py - $(PYTHON) doc2latex.py $(MATHICS3_MODULE_OPTION) && $(BASH) ./sed-hack.sh - -#: Build test PDF -mathics3-test.pdf: mathics3-test.tex testing.tex - $(LATEXMK) --verbose -f -pdf -pdflatex="$(XETEX) -halt-on-error" mathics3-test - -#: Build main Mathcis3 PDF -mathics3-???.pdf: mathics.tex documentation.tex mathics3-title.pdf static-images/logo-heptatom-Mathics3.pdf version-info.tex $(DOCTEST_LATEX_DATA_PCL) - $(LATEXMK) --verbose -f -pdf -pdflatex="$(XETEX) -halt-on-error" mathics - - -#: Generate logos used in the titlepage -static-images/logo-heptatom-Mathics3.pdf: - (cd .. && $(BASH) ./make-static-images.sh) - -#: The build of the documentation which is derived from docstrings in the Python code and doctest data -documentation.tex: $(DOCTEST_LATEX_DATA_PCL) ../documentation/1-Manual.mdoc - $(PYTHON) ./doc2latex.py $(MATHICS3_MODULE_OPTION) && $(BASH) ./sed-hack.sh - -#: Same as mathics.pdf -pdf latex: mathics.pdf - -#: Remove all auto-generated files -clean: - rm -f mathics3.asy mathics3.aux mathics3.fls mathics3.idx mathics3.log mathics3.mtc mathics3.mtc* mathics3.out mathics3.toc || true - rm -f test-mathics3.aux test-mathics3.idx test-mathics3.log test-mathics3.mtc test-mathics3.mtc* *.ps test-mathics3.out test-mathics3.toc || true - rm -f mathics3-test.fls mathics3.fdb_latexmk mathics3.ilg mathics3.ind mathics3.maf mathics3.pre mathics3-test.mtc* || true - rm -f mathics3-test.fdb_latexmk mathics3-test.ilg mathics3-test.ind mathics3-test.maf mathics3-test.pre || true - rm -f $(ASY_FILES) $(ASY_PDF_FILES) || true - rm -f mathics3-test.asy mathics3-test.aux mathics3-test.idx mathics3-test.log mathics3-test.mtc mathics3est.mtc* mathics3-test.out mathics3-test.toc || true - rm -f documentation.tex $(DOCTEST_LATEX_DATA_PCL) || true - rm -f mathics3.pdf mathics3.dvi test-mathics3.pdf test-mathics3.dvi || true - rm -f mathics3-test.pdf mathics3-test.dvi version-info.tex || true diff --git a/mathics/doc/latex/README.rst b/mathics/doc/latex/README.rst deleted file mode 100644 index 2b86ab804..000000000 --- a/mathics/doc/latex/README.rst +++ /dev/null @@ -1,54 +0,0 @@ -Overview --------- - -Here we have document data and scripts for generating the Mathics3 Reference manual in PDF form. - -The document is a LaTeX file run through XeTeX with Asymptote graphics. - -You'll need Asymptote 2.71-37 or greater and 9.54.0 or greater to -process the graphics. Earlier version may have bugs in them which -prevent some images from getting processed. Notable here are the -"Filling" ande "Bottom" examples which need opacity to work on various kinds of plots. - -inkscape is needed for the Mathics3 logos if you need to generate these from source. - -Workflow --------- - -The overall top-level LaTeX document is ``mathics3.tex``. The pulls in -``documentation.tex`` which is automatically generated from the Python -program ``doc2latex.py`` and that in turn gets its data from -``doc_latex_data.pcl`` which in turn gets its data from ``../documentation/*.mdoc``. - -Here is a flow of the data:: - - doc/documentation/*.mdoc --+ - | - bultins/*.py -------------+--> doc_latex_data.pcl -> documentation.tex -+ - docpipeline.py doc2latex.py | - | - doc/images/*.svg -------------> doc/latex/static-images/* ---------------+------------------------------> mathics3.pdf - make-static-images.sh | latexmk,xetex,asyptote,gv - | - doc/tex/mathics3.tex ----------------------------------------------------+ - -A GNU Makefile in this directory has been created to manage the complicated workflow above. - -Troubleshooting ---------------- - -GNU makefile targets can be used to make pieces of the document pipeline. Run ``remake --tasks`` to see -a list of Makefile targets. - -If the problem is with graphics, if you don't have the figure name but -just its number, you may be able to figure out its number by going -into ``documentation.tex`` and finding the appropriate section in the -LaTeX document and then getting the number that is listed there. - -To view one of the asymptote figures, e.g. ``mathics-83.asy``:: - - $ asy - asy - Welcome to Asymptote version 2.71-37 (to view the manual, type help) - > include "mathics-83.asy" - include "mathics-83.asy" diff --git a/mathics/doc/latex/doc2latex.py b/mathics/doc/latex/doc2latex.py deleted file mode 100755 index fb7b2a16b..000000000 --- a/mathics/doc/latex/doc2latex.py +++ /dev/null @@ -1,204 +0,0 @@ -#!/usr/bin/env python3 -# -*- coding: utf-8 -*- -"""Writes a LaTeX file containing the entire User Manual. - -The information for this comes from: - -* the docstrings from loading in Mathics3 core (mathics) - -* the docstrings from loading Mathics3 modules that have been specified - on the command line - -* doctest tests and test result that have been stored in a Python - Pickle file, from a previous docpipeline.py run. Ideally the - Mathics3 Modules given to docpipeline.py are the same as - given on the command line for this program -""" - -import os -import os.path as osp -import subprocess -import sys -from argparse import ArgumentParser -from typing import Dict, Optional - -from mpmath import __version__ as mpmathVersion -from numpy import __version__ as NumPyVersion -from PIL import __version__ as PILVersion -from sympy import __version__ as SymPyVersion - -import mathics -from mathics import __version__, settings, version_info, version_string -from mathics.core.definitions import Definitions -from mathics.core.load_builtin import import_and_load_builtins -from mathics.doc.latex_doc import LaTeXMathicsDocumentation -from mathics.doc.utils import load_doctest_data, open_ensure_dir -from mathics.eval.pymathics import PyMathicsLoadException, eval_LoadModule - -# Global variables -logfile = None - -# Input doctest PCL FILE. This contains just the -# tests and test results. -# -# This information is stitched in with information comes from -# docstrings that are loaded from load Mathics3 builtins and external modules. - -DOCTEST_LATEX_DATA_PCL = settings.DOCTEST_LATEX_DATA_PCL - -# Output location information -DOC_LATEX_DIR = os.environ.get("DOC_LATEX_DIR", settings.DOC_LATEX_DIR) -DOC_LATEX_FILE = os.environ.get("DOC_LATEX_FILE", settings.DOC_LATEX_FILE) - - -def read_doctest_data(quiet=False) -> Optional[Dict[tuple, dict]]: - """ - Read doctest information from PCL file and return this. - This is a wrapper around laod_doctest_data(). - """ - if not quiet: - print(f"Extracting internal doctest data for {version_string}") - try: - return load_doctest_data( - settings.get_doctest_latex_data_path(should_be_readable=True) - ) - except KeyboardInterrupt: - print("\nAborted.\n") - return None - - -def get_versions(): - def try_cmd(cmd_list: tuple, stdout_or_stderr: str) -> str: - status = subprocess.run(cmd_list, capture_output=True) - if status.returncode == 0: - out = getattr(status, stdout_or_stderr) - return out.decode("utf-8").split("\n")[0] - else: - return "Unknown" - - versions = { - "MathicsCoreVersion": __version__, - "PythonVersion": sys.version, - "NumPyVersion": NumPyVersion, - "SymPyVersion": SymPyVersion, - "mpmathVersion": mpmathVersion, - "PILVersion": PILVersion, - } - - for name, cmd, field in ( - ["AsymptoteVersion", ("asy", "--version"), "stderr"], - ["XeTeXVersion", ("xetex", "--version"), "stdout"], - ["GhostscriptVersion", ("gs", "--version"), "stdout"], - ): - versions[name] = try_cmd(cmd, field) - versions.update(version_info) - return versions - - -def write_latex( - doc_data, quiet=False, filter_parts=None, filter_chapters=None, filter_sections=None -): - documentation = LaTeXMathicsDocumentation() - if not quiet: - print(f"Writing LaTeX document to {DOC_LATEX_FILE}") - with open_ensure_dir(DOC_LATEX_FILE, "wb") as doc: - content = documentation.latex( - doc_data, - quiet=quiet, - filter_parts=filter_parts, - filter_chapters=filter_chapters, - filter_sections=filter_sections, - ) - content = content.encode("utf-8") - doc.write(content) - DOC_VERSION_FILE = osp.join(DOC_LATEX_DIR, "version-info.tex") - if not quiet: - print(f"Writing Mathics3 Core Version Information to {DOC_VERSION_FILE}") - with open(DOC_VERSION_FILE, "w") as doc: - doc.write("%% Mathics3 core version number created via doc2latex.py\n\n") - for name, version_str in get_versions().items(): - doc.write("""\\newcommand{\\%s}{%s}\n""" % (name, version_str)) - - -def main(): - parser = ArgumentParser(description="Mathics3 test suite.", add_help=False) - parser.add_argument( - "--help", "-h", help="show this help message and exit", action="help" - ) - parser.add_argument( - "--version", "-v", action="version", version="%(prog)s " + mathics.__version__ - ) - parser.add_argument( - "--chapters", - "-c", - dest="chapters", - metavar="CHAPTER", - help="only test CHAPTER(s). " - "You can list multiple chapters by adding a comma (and no space) in between " - "chapter names.", - ) - parser.add_argument( - "--sections", - "-s", - dest="sections", - metavar="SECTION", - help="only test SECTION(s). " - "You can list multiple chapters by adding a comma (and no space) in between " - "chapter names.", - ) - parser.add_argument( - "--load-module", - "-l", - dest="pymathics", - metavar="MATHIC3-MODULES", - help="load Mathics3 module MATHICS3-MODULES. " - "You can list multiple Mathics3 Modules by adding a comma (and no space) in between " - "module names.", - ) - parser.add_argument( - "--parts", - "-p", - dest="parts", - metavar="PART", - help="only test PART(s). " - "You can list multiple parts by adding a comma (and no space) in between part names.", - ) - parser.add_argument( - "--quiet", - "-q", - dest="quiet", - action="store_true", - help="Don't show formatting progress tests", - ) - args = parser.parse_args() - - # LoadModule Mathics3 modules to pull in modules, and - # their docstrings - - import_and_load_builtins() - - if args.pymathics: - definitions = Definitions(add_builtin=True) - for module_name in args.pymathics.split(","): - try: - eval_LoadModule(module_name, definitions) - except PyMathicsLoadException: - print(f"Python module {module_name} is not a Mathics3 module.") - - except Exception as e: - print(f"Python import errors with: {e}.") - else: - print(f"Mathics3 Module {module_name} loaded") - - doctest_data = read_doctest_data(quiet=args.quiet) - write_latex( - doctest_data, - quiet=args.quiet, - filter_parts=args.parts, - filter_chapters=args.chapters, - filter_sections=args.sections, - ) - - -if __name__ == "__main__": - main() diff --git a/mathics/doc/latex/latexmkrc b/mathics/doc/latex/latexmkrc deleted file mode 100644 index 65742cea9..000000000 --- a/mathics/doc/latex/latexmkrc +++ /dev/null @@ -1,51 +0,0 @@ -# -*- Perl -*- -# This is a configuration read and used by latexmk. -# Specifically, we use it to direct how to process Asymptote (asy) vector graphics. - -# Note the following is actually Perl code. - - -# Check whether the Asymptote (asy) is new enough. -my $min_asy_version = "2.71"; -my $out = `asy --version 2>&1 | head -1`; -if ($? >> 8 == 0) { - # Continue checking the version number - if ($out =~ /version (\d.\d+)/) { - my $version = "$1"; - if ($version < $min_asy_version) { - print("Warning - your Asymptote version, ${version}, may be too old to handle everything.\n"); - print("We would like version ${min_asy_version}. Continuing with fingers crossed...\n"); - } - } -} else { - print("Trouble checking Aymptote version -- skipping version check for ${min_asy_version}\n"); -} - -# Check whether the Ghostscript (gs) is new enough. -my $min_gs_version = "9.54"; -$out = `gs --version 2>&1`; -if ($? >> 8 == 0) { - # Continue checking the version number - if ($out =~ /(\d.\d+)/) { - my $version = "$1"; - if ($version < $min_gs_version) { - print("Warning - your Ghostscript version, ${version}, may be too old to handle everything.\n"); - print("We would like version ${min_gs_version}. Continuing with fingers crossed...\n"); - } - } -} else { - print("Trouble checking GhostScript version -- skipping version check for ${min_gs_version}\n"); -} - - -# The Redefinition of function asy below allows us to customize how to call -# asy (asymptote). -sub asy {return system("asy '$_[0]' -render=0 -nosafe -noprc --gsOptions='-P'");} - -# The following add custom dependencies for Asymptote: -# Basically the parameters are -# from extension, to_extension, must (0=file does not have to exist), name of function -# See the section "Custom Dependencies" under "man latexmk". -add_cus_dep("asy","eps",0,"asy"); -add_cus_dep("asy","pdf",0,"asy"); -add_cus_dep("asy","tex",0,"asy"); diff --git a/mathics/doc/latex/mathics3.tex b/mathics/doc/latex/mathics3.tex deleted file mode 100644 index c33ec4026..000000000 --- a/mathics/doc/latex/mathics3.tex +++ /dev/null @@ -1,373 +0,0 @@ -% -*- latex -*- -% -% This is the top-level LaTeX file to build the Mathics3 Book (Tutorial + Reference) -% which is stored in mathics3.pdf -% -% To build this: -% make mathics3.pdf -% -% The bulk of this LaTeX is in file documentation.tex which is -% automatically generated via ./doc2latex.py from: -% -% * static files in ../documentation/*.mdoc (Tutorial and -% * SVG images in ./images/*.svg (Mostly logos right now) -% * Information pulled out of the Python docstrings for built-in Functions. -% -% Since this file is rather bulky, to troubleshoot, put stripped down -% text such as from documentation.tex in a file called testing.tex. -% -% See the comments at the top of mathics3-test.tex for more -% information. - -% NOTE: most of this file can is also duplicated in mathics3.tex. -% Changes here should be coordinated or copied over to with mathics3-test.tex. -\documentclass[index=totoc,fleqn,10pt,oneside,toc=flat]{scrbook} - -% The number is sections and subsections can get high, for example: -% 26.2.16 PolarPlot -% ^^^^^^^ -% So we need the below to automatically calculate the width numbers can take -% See: -% https://tex.stackexchange.com/questions/694088/koma-book-class-listoftables-increase-the-space-between-the-number-and-title-of -\DeclareTOCStyleEntry[dynnumwidth]{default}{chapter} -\DeclareTOCStyleEntry[dynnumwidth]{default}{section} -\DeclareTOCStyleEntry[dynnumwidth]{default}{subsection} - -% Without the below, the default space 7.644pt between "Part" numbers (like I, II, III) -% in the Table of Contents is too narrow, causing the numbers to potentially overlap with the titles. -\DeclareTOCStyleEntry[numwidth=15pt]{part}{part} - -% The following is to remove messages of the form: -% Package scrkbase Info: You've told me to use the font selection of the element -% (scrkbase) `partprefix' that is an alias of element `partnumber' -% (scrkbase) on input line ... -\setkomafont{partprefix}{\LARGE\bfseries} -\setkomafont{partnumber}{\LARGE\bfseries} - -%\usepackage[utf8]{inputenc} -\usepackage[T1]{fontenc} -\usepackage{gensymb} % For \degree. usepackage needs to be early. -\usepackage{lmodern} -\usepackage[english]{babel} -\usepackage{makeidx} -\usepackage{graphicx} -\usepackage{asymptote} -\usepackage[hypertexnames=false]{hyperref} % make hyperref aware of chapter reset for built-in symbols -% (http://tex.stackexchange.com/questions/6098/wrong-hyper-references-after-resetting-chapter-counter) - -% Use AMS fonts -\usepackage{amsmath, amssymb} - -% Improved Palatino fonts - better unicode support? -\usepackage{newpxtext,newpxmath} - -\usepackage{color} -\usepackage{fullpage} -\usepackage{graphics} -\usepackage{listings} -\usepackage{paralist} -\usepackage{mathpazo} -\usepackage[mathpazo]{flexisym} -\usepackage{breqn} -\usepackage{environ} -\usepackage{multicol} -\usepackage[]{colophon} -\usepackage[k-tight]{minitoc} - -\usepackage{newunicodechar} -% Define a font that has symbol ′ -\newfontfamily{\fallbackfont}{DejaVu Sans} - -% Tell LaTeX how to substitute some Unicode characters -\newunicodechar{′}{{\fallbackfont ′}} -\newunicodechar{≥}{\ensuremath{\ge}} % Greater-than or eaual -\newunicodechar{ç}{\c{c}} -\newunicodechar{ñ}{\~n} -\newunicodechar{ê}{\^e} -\newunicodechar{é}{\'e} -\newunicodechar{μ}{{\greekfallback μ}} -\newunicodechar{Φ}{{\greekfallback Φ}} -\newunicodechar{∖}{\ensuremath{\setminus}} % Set Minus / Backslash Operator (U+2216) -\newunicodechar{ⅅ}{\ensuremath{\mathbb{D}}} -\newunicodechar{″}{\ensuremath{''}} % Double Prime -\newunicodechar{≃}{\ensuremath{\simeq}} % Asymptotically Equal (U+2243) -\newunicodechar{ℇ}{\ensuremath{\mathrm{e}}} % Euler Constant (U+2107) - - -\setlength{\mtcindent}{0pt} -\mtcsetformat{minitoc}{tocrightmargin}{2.55em plus 1fil} -\newcommand{\multicolumnmtc}{2} -\makeatletter -\let\SV@mtc@verse\mtc@verse -\let\SV@endmtc@verse\endmtc@verse -\def\mtc@verse#1{\SV@mtc@verse#1\removelastskip% - \begin{multicols}{\multicolumnmtc}\raggedcolumns\leavevmode\unskip - \vskip -1.5ex \vskip -1\baselineskip} -\def\endmtc@verse{\end{multicols}\SV@endmtc@verse} -\makeatother - -\definecolor{message}{rgb}{0.8,0.4,0} -\definecolor{print}{rgb}{0,0,1} -\definecolor{definitions}{rgb}{0.96,0.96,0.94} -\definecolor{subtitle}{rgb}{0.3,0.3,0.3} - -\definecolor{pythonstring}{rgb}{0,0.5,0} - -\title{ - \includegraphics[height=0.1\linewidth]{static-images/logo-heptatom-Mathics3.pdf} -\\[.5em] - {\LARGE\color{subtitle}\textit{\textmd{A free, open-source alternative to Mathematica}}\/} {\Large \textregistered{}} - \par\textmd{\Large Mathics\emph{3} Core Version \MathicsCoreVersion} -} -\author{The Mathics\emph{3} Team} - -% Since we are using a XML input we have need to specify missed hyphenation -% in LaTeX sich as here: -\hyphenation{eco-system} - -% Fix unicode mappings for listings -% http://tex.stackexchange.com/questions/39640/typesetting-utf8-listings-with-german-umlaute -\lstset{literate=% - {Ö}{{\"O}}1 - {Ä}{{\"A}}1 - {Ü}{{\"U}}1 - {ß}{{\ss}}1 - {ü}{{\"u}}1 - {ä}{{\"a}}1 - {ö}{{\"o}}1 - {~}{{\textasciitilde}}1 - {⧦}{{===}}1 - {}{{=>}}1 - {⇒}{{$\Rightarrow$}}1 - {⇾}{{$\Rightarrow$}}1 - {⊻}{{$\oplus$}}1 - {…}{{...}}1 - {∫}{{S}}1 - {}{{d}}1 -} - -\setlength{\columnsep}{1cm} - -\makeatletter\newenvironment{definitions}{ - - \vspace{0.5em}% - \begin{lrbox}{\@tempboxa} - \hspace*{0.6em} - \begin{minipage}{0.9\columnwidth}% - \nobreak\vspace{0.6em}% -}{% - \nobreak% - \vspace{0.6em}% - \end{minipage}\hspace*{1em} - \end{lrbox} - \colorbox{definitions}{\usebox{\@tempboxa}} - \vspace{0.6em}% -}\makeatother - -\newcommand{\dt}[1]{#1% -\par% -} -\newcommand{\dd}[1]{{% -\hangindent2em% -\hangafter=0% -#1% -\par% -}} - -% Unfortunately, this doesn't work with code segments: -%\newenvironment{definitions}{\begin{description}}{\end{description}} -%\newcommand{\dt}[1]{\item[#1]} -%\newcommand{\dd}[1]{#1} - -\newcommand{\sectionstart}{} -\newcommand{\sectionend}{} - -\newcommand{\subsectionstart}{} -\newcommand{\subsectionend}{} - -\newcommand{\chapterstart}{ -} -\newcommand{\chaptersections}{ - \begin{sloppypar} - \minitoc - \end{sloppypar} -} -\newcommand{\chapterend}{ - %\end{multicols} -} - -\newcommand{\referencestart}{ -%\def\thechapter{\Roman{chapter}} -\renewcommand{\chaptersections}{ - \begin{sloppypar} - \minitoc - %\begin{multicols*}{2} - \end{sloppypar} -} -\renewcommand{\chapterend}{ - %\end{multicols*} -} -} - -% don't use two columns in appendix -\let\originalappendix\appendix -\renewcommand{\appendix}{\originalappendix -\renewcommand{\chaptersections}{ -} -\renewcommand{\chapterend}{ -} -} - -\newenvironment{chapterintro}{ - % \begin{multicols}{2} -}{ -%\end{multicols} -} -\newenvironment{chapterintroshort}{\par}{} - -\newenvironment{guidesectionintro}{ - % \begin{multicols}{2} -}{ - % \end{multicols} -} -\newenvironment{guidesectionintroshort}{\par}{} - -\newcommand{\codewidth}{0.9\columnwidth} - -\newenvironment{tests}{% - \begin{compactitem}[{% - \tiny\ttfamily $>>$ - }]% -}{% - \end{compactitem}% -} -\newenvironment{testcase}{% - \item% - \begin{minipage}[t]{\codewidth} - \begin{compactitem}[]% -}{% - \end{compactitem}% - \end{minipage} - \vspace{1em}% -} - -\newcommand{\test}[1]{% -\item \begin{minipage}[t]{\codewidth}\begin{flushleft} {\ttfamily \bfseries #1} \end{flushleft} \end{minipage} \hfill \nobreak% -} - -% Test case error message output -\newenvironment{testmessage}{\item -\begin{minipage}{\codewidth} - \begin{ttfamily}% - \vspace{0.1em}% - \color{message}% -}{% - \end{ttfamily}% -\end{minipage}% -} -% Test case print output -\newenvironment{testprint}{\item - \vspace{0.0em} - \begin{minipage}{\codewidth} - \begin{ttfamily}% - \vspace{0.1em}% - \tiny% - \color{print}% -}{% - \end{ttfamily}% -\end{minipage}% -} - -% Test case output; the ... in (Out[x]= ... ) -\newenvironment{testresult}{% - \item% - \vspace{-0.5em}% - \begin{minipage}{\codewidth}% - \hbadness=10000 - \begin{dmath*}[indentstep={0em},compact]% -}{% - \end{dmath*}% - \end{minipage}% -} -\newenvironment{testresultlist}{% - \item% - \vspace{-0.5em}% - \begin{minipage}{\codewidth}% - \begin{dgroup*}[indentstep={0em},compact]% -}{% - \end{dgroup*}% - \end{minipage}% -} - -\newcommand{\code}[1]{\hbadness=10000{\ttfamily #1}} -\newcommand{\codevar}[1]{{\rmfamily #1}} -\newcommand{\console}[1]{\hbadness=10000{\ttfamily #1}} - -\setlength{\parindent}{0mm} -\setlength{\parskip}{10pt} - -\setlength{\mathindent}{0em} - -\raggedbottom - -\raggedcolumns - -\makeindex - -\hyphenation{assign-ments} - -\begin{document} -\input{version-info.tex} - -\maketitle - -\dominitoc - -\setcounter{tocdepth}{0} -\tableofcontents - - -\lstset{ -% inputencoding=utf8, - extendedchars=true, - breaklines=true, - breakatwhitespace=false, - showspaces=false, - basicstyle=\ttfamily -} - -\lstdefinestyle{python}{language=Python,tabsize=2,basicstyle=\scriptsize\ttfamily,showstringspaces=false,stringstyle=\color{pythonstring},commentstyle=\ttfamily\color{pythonstring},frame=lines} - -\input{documentation.tex} - -\part*{Appendices} -\printindex -\begin{colophon} -% Add this into table of contents -% The page reference may come out wrong and refer to the index. -% If so, adjust by hand, or diff file. - \addcontentsline{toc}{chapter}{Colophon} - -\begin{description} - \item[Mathics\emph{3} Core] \hfill \MathicsCoreVersion - \item[Python] \hfill \\ \PythonVersion - \item[XeTeX] \hfill \\ \XeTeXVersion - \item[Asymptote] \hfill \\ \AsymptoteVersion - \item[cython] \hfill \cython - \item[mpmath] \hfill \mpmathVersion - \item[NumpyPy] \hfill \NumPyVersion - \item[SymPy] \hfill \SymPyVersion - \item[PIL] \hfill \PILVersion - \item[Ghostscript] \hfill \GhostscriptVersion - \item[lxml] \hfill \lxml - \item[matplotlib] \hfill \matplotlib - \item[networkx] \hfill \networkx - \item[nltk] \hfill \nltk - \item[psutil] \hfill \psutil - \item[skimage] \hfill \skimage - \item[scipy] \hfill \scipy - \item[wordcloud] \hfill \wordcloud -\end{description} - -\end{colophon} -\end{document} diff --git a/mathics/doc/latex/sed-hack.sh b/mathics/doc/latex/sed-hack.sh deleted file mode 100755 index fd3c85ff1..000000000 --- a/mathics/doc/latex/sed-hack.sh +++ /dev/null @@ -1,24 +0,0 @@ -#!/bin/bash -set -x -# Brute force convert Unicode characters in LaTeX that it can't handle -# Workaround for messages of the form: -# Missing character: There is no ⩵ ("2A75) in font pplr7t! -# Mathics3 MakeBox rules should handle this but they don't. - -# Characters that only work in math mode we convert back -# to their ASCII equivalent. Otherwise, since we don't -# understand context, it might not be right to -# use a math-mode designation. -if [[ -f documentation.tex ]] ; then - cp documentation.tex{,-before-sed} -fi - -sed -i -e 's/Φ/$\\\\Phi$/g' documentation.tex -sed -i -e 's/⩵/==/g' documentation.tex - -sed -i -e s/μ/$\\\\mu$/g documentation.tex -sed -i -e s/reference-of-built-in-symbols/r/g documentation.tex -sed -i -e s/integer-and-number-theoretical-functions/int-fns/g documentation.tex -sed -i -e s/mathematical-constants/math-consts/g documentation.tex - -# sed -i -e "s:'[\$]Path':\$Path:g" documentation.tex diff --git a/mathics/doc/latex/static-images/README.md b/mathics/doc/latex/static-images/README.md deleted file mode 100644 index e9be7c4c0..000000000 --- a/mathics/doc/latex/static-images/README.md +++ /dev/null @@ -1,7 +0,0 @@ -This directory contains images included from LaTeX in creating the Mathics3 user guide and reference manual PDF. - -While most of the images were created from a conversion process, they are "static" in the sense that they were not generated as Mathics3 test output. - -This is in contrast to the vast majority of the images, which are produced in doctest processing and stored in a LaTeX-specific Python Pickle (`.PCL`) file. - -Hyphens are used in this directory name to make it clearer that this is not part of a Python module. diff --git a/mathics/doc/latex/static-images/file-open-button.png b/mathics/doc/latex/static-images/file-open-button.png deleted file mode 100644 index 08731152005494d24e8053a7590ad31430986222..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 435 zcmV;k0ZjghP)ZgXgFbngSdJ^%m!Ep$a#bVG7w zVRUJ4ZXi@?ZDjycVRRrdFd$E3bRaS?GB6-8F*-3cIxsjOK}{es!Y~woKL|O=k|`8whA9*eKr)9!5X8+@SMdN7D1tx{6c2z#q7bMB!2_UB zC=_aHs^;PdVFbD|wuya7P203z&N=<5c%Ju9!Kmgf@QhMQmqJR_^ryNEmkS1t#D}7Q z@z09L2|1pkkEIess)6I!h)BHI0^;&FpYz+Yvy{@nZZS+jEd83gi9JcPCJAcl6?GaC zFzW6R0Z=GqzFIm`(#Bu!@b9`*xMkFzamY+c?V0w+1dj);-ea-$X#*l)nm{ut=`h*s zm>6#Qj;}>3d#N%~x_miOg?x|`NQIm)nwO$dM3*z6p;V>(4r@|M=~7H7%d+xzh*532 d&Ac6ATmg+lO4{wmg=7E#002ovPDHLkV1l^=tNs80 diff --git a/mathics/doc/latex/static-images/gallery.png b/mathics/doc/latex/static-images/gallery.png deleted file mode 100644 index 1543f4fa16fa709754f9b958d370d5b894641ca9..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 572 zcmV-C0>k}@P)ZgXgFbngSdJ^%m#&PhZ;R7i>K z)=g_uK@`UE|H(~lB@hU>P+Zm*aAQ~23Tf1uT6E`1Es7t(;zp#U*0eEID1smbML}G; zGf9zRd^bY<5aJh*BKA&ZGIv~DEv|A0S}D|=-NS+T4YN3Nq);e0wxCj5fp+08yglJ` z$8KsD!xI%IPVQxAAc==L`;)KL3fC7`SWTD?o#EgRCr10p^(Lcn^>MH`%>G9!d@&n= z5yUi^KVRaF0x}~^KN+NPxy*Y7k{#vd;$fDq+~uD04fA|-8Yqu+Y>w(1p0000< KMNUMnLSTXn-u<)y diff --git a/mathics/doc/latex/static-images/generate-hash-button.png b/mathics/doc/latex/static-images/generate-hash-button.png deleted file mode 100644 index 457127d20655542237fb1abde9f637e09c743c71..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 544 zcmV+*0^j|KP)ZgXgFbngSdJ^%m!Ep$a#bVG7w zVRUJ4ZXi@?ZDjycVRRrdFd$E3bRaS?GB6-8F*-3gIyE;SK}{e0eMM8 zK~zYI?bWSo!$26v@$X(Zbufqu3_?Yq5ET_wC{#^FjEPZI6+I@#)R^cXOq7aIQKlxw z2Bo5^YAUKQhzbm<@&_CY0)sP~D1)}prZ2Rx(Vu*{hflaC54Tq?m%rI!_P2@cz#X_{ z(DVrIpXhd9c&t}({3Aex`MGWP`Y@Im@GLS)&i}Ec?S%;gy%@I zBqB;Bo?j!VonTL$(`iDwE@=5pT9+=P@o2J4ASIBcM4gDtIicc6vbaYh?4i~JUCwI1 z7=S=Z#o)QY!*fKM0kjDhK*lq7hC)nNG+Jr2UQ!v$-t5;xU{{;80tfMnX)*c;mC)}* zXwRo&3slml5w?jJxYIe{2sPabC0nABx6w~i4G8=a*3{nVLCE=4KX;Bf;EWhP&F&@c zcun=WI1Pz&T36dc6*Cx4mh>=QXe|y3g~ILf;wK+*%2Bb%@e!!^4tL=z!>|0#)vk1n i{Gr!k2kyXs3;qDbA#(Cari!Ql0000QP)ZgXgFbngSdJ^%m+tVu*cRCt{2 zooh%`-5$oDy~ml?na1ooQ$l2rW^Z+HnWV^q`!p)VR1o;i{vT{QAT5rSr? 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""" - test_status = test_pipeline.status - test_parameters = test_pipeline.parameters output_data, chapter_names = test_pipeline.validate_group_setup( include_chapters, "chapters" @@ -630,17 +601,8 @@ def test_chapters( section, exclude_sections=exclude_sections, ) - if test_parameters.data_path is not None and test_status.failed == 0: - create_output( - test_pipeline, - section_tests_iterator( - section, - test_pipeline, - exclude_sections=exclude_sections, - ), - ) - summarize_and_write_pcl( + summarize( test_pipeline, "chapters", chapter_names, @@ -708,12 +670,8 @@ def test_sections( # seen_sections.add(section_name_for_finish) # last_section_name = section_name_for_finish - # if seen_last_section: - # summarize_and_write_pcl(test_pipeline, "sections", section_names) - # return - assert section_names is not None - summarize_and_write_pcl(test_pipeline, "sections", section_names) + summarize(test_pipeline, "sections", section_names) return @@ -779,66 +737,6 @@ def test_all( show_report(test_pipeline) -def save_doctest_data(doctest_pipeline: DocTestPipeline): - """ - Save doctest tests and test results to a Python PCL file. - - ``output_data`` is a dictionary of test results. The key is a tuple - of: - * Part name, - * Chapter name, - * [Guide Section name], - * Section name, - * Subsection name, - * test number - and the value is a dictionary of a Result.getdata() dictionary. - """ - output_data: Dict[tuple, dict] = doctest_pipeline.output_data - - if len(output_data) == 0: - doctest_pipeline.print_and_log("output data is empty") - return - doctest_pipeline.print_and_log(f"saving {len(output_data)} entries") - doctest_latex_data_path = doctest_pipeline.parameters.data_path - doctest_pipeline.print_and_log( - f"Writing internal document data to {doctest_latex_data_path}" - ) - with open(doctest_latex_data_path, "wb") as output_file: - pickle.dump(output_data, output_file, 4) - - -def write_doctest_data(doctest_pipeline: DocTestPipeline, output_format=None): - """ - Get doctest information, which involves running the tests to obtain - test results and write out both the tests and the test results. - """ - test_parameters = doctest_pipeline.parameters - if not test_parameters.quiet: - doctest_pipeline.print_and_log( - f"Extracting internal doc data for {version_string}" - ) - print("This may take a while...") - - try: - doctest_pipeline.output_data = ( - load_doctest_data(test_parameters.data_path) - if test_parameters.reload - else {} - ) - for tests in doctest_pipeline.documentation.get_tests(): - create_output( - doctest_pipeline, - tests, - ) - except KeyboardInterrupt: - doctest_pipeline.print_and_log("\nAborted.\n") - return - - print("done.\n") - - save_doctest_data(doctest_pipeline) - - def build_arg_parser(): """Build the argument parser""" parser = ArgumentParser(description="Mathics3 test suite.", add_help=False) @@ -971,13 +869,8 @@ def build_arg_parser(): def main(): """main""" args = build_arg_parser() - data_path = ( - get_doctest_latex_data_path(should_be_readable=False, create_parent=True) - if args.output - else None - ) - test_pipeline = DocTestPipeline(args, output_format="latex", data_path=data_path) + test_pipeline = DocTestPipeline(args, output_format="latex") test_status = test_pipeline.status start_time = None @@ -992,12 +885,9 @@ def main(): exclude_sections = set(args.exclude.split(",")) test_chapters(test_pipeline, include_chapters, exclude_sections) else: - if args.doc_only: - write_doctest_data(test_pipeline) - else: - excludes = set(args.exclude.split(",")) - start_time = datetime.now() - test_all(test_pipeline, excludes=excludes) + excludes = set(args.exclude.split(",")) + start_time = datetime.now() + test_all(test_pipeline, excludes=excludes) if test_status.total > 0 and start_time is not None: test_pipeline.print_and_log( diff --git a/mathics/settings.py b/mathics/settings.py index 6b38c37b8..9f4f27e6a 100644 --- a/mathics/settings.py +++ b/mathics/settings.py @@ -11,8 +11,6 @@ from pathlib import Path from typing import List -from mathics.core.util import canonic_filename - def get_srcdir(): filename = osp.normcase(osp.dirname(osp.abspath(__file__))) @@ -71,22 +69,7 @@ def get_srcdir(): # We need two versions of doctest data, one is in the user space which is updated with # local packages installed and is user writable. - -DOCTEST_LATEX_DATA_PCL = os.environ.get( - "DOCTEST_LATEX_DATA_PCL", osp.join(DATA_DIR, "doctest_latex_data.pcl") -) - -# We need another version of doctest data as a fallback, and that is distributed with the -# package. It is note user writable and not in the user space. - -DOCTEST_SYSTEM_LATEX_DATA_PCL = os.environ.get( - "DOCTEST_SYSTEM_LATEX_DATA_PCL", - osp.join(LOCAL_ROOT_DIR, "Data", "doctest_latex_data.pcl"), -) - DOC_DIR = osp.join(LOCAL_ROOT_DIR, "doc", "documentation") -DOC_LATEX_DIR = osp.join(LOCAL_ROOT_DIR, "doc", "latex") -DOC_LATEX_FILE = osp.join(DOC_LATEX_DIR, "documentation.tex") # Set this True if you prefer 12 hour time to be the default TIME_12HOUR = False @@ -129,27 +112,3 @@ def ensure_directory(directory: str): dir_path = Path(directory) if not dir_path.is_dir(): os.makedirs(directory) - - -def get_doctest_latex_data_path(should_be_readable=False, create_parent=False) -> str: - """Returns a string path where we can find Python Pickle doctest data for LaTeX - processing. - - If `should_be_readable` is True, the we will check to see whether - this file is readable (which also means it exists). If not, we'll - return the `DOCTEST_SYSTEM_DATA_PATH`. - - """ - doc_user_latex_data_pcl = Path(DOCTEST_LATEX_DATA_PCL) - base_config_dir = doc_user_latex_data_pcl.parent - if not base_config_dir.is_dir() and create_parent: - Path("base_config_dir").mkdir(parents=True, exist_ok=True) - - if should_be_readable: - return ( - DOCTEST_LATEX_DATA_PCL - if doc_user_latex_data_pcl.is_file() - else DOCTEST_SYSTEM_LATEX_DATA_PCL - ) - else: - return DOCTEST_LATEX_DATA_PCL diff --git a/pyproject.toml b/pyproject.toml index bdda3834f..c7d090587 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -129,8 +129,6 @@ include = ["mathics*"] "autoload/*/*.m", # YAML files in test/format "test/format/*.yaml", - # Documentation stuff that will be removed in 9.0.0 or before - "doc/latex/mathics.pdf", # End doc stuff "test/data/*", ] From 48c4b8fd09b02623ef72dc8f280f8dc7cbea3e8d Mon Sep 17 00:00:00 2001 From: rocky Date: Sat, 19 Sep 2026 11:17:04 -0400 Subject: [PATCH 2/7] Remove --doc-only option, and use of canonic_file() --- mathics/docpipeline.py | 18 ------------------ mathics/settings.py | 2 +- 2 files changed, 1 insertion(+), 19 deletions(-) diff --git a/mathics/docpipeline.py b/mathics/docpipeline.py index 7c5da86be..6028fc10f 100644 --- a/mathics/docpipeline.py +++ b/mathics/docpipeline.py @@ -52,7 +52,6 @@ "output_format", "reload", "start_at", - "doc_only", # we don't care about the actual test ], ) @@ -74,7 +73,6 @@ def __init__( self, args, output_format="latex", - doc_only: bool = False, ): self.session = MathicsSession() self.output_data: Dict[tuple, dict] = {} @@ -98,7 +96,6 @@ def __init__( output_format=output_format, reload=args.reload and not (args.chapters or args.sections), start_at=args.skip + 1, - doc_only=doc_only, ) self.status = TestStatus(None, self.parameters.quiet) @@ -196,7 +193,6 @@ def test_case( test_pipeline: DocTestPipeline, fail: Callable, output_format: Optional[str] = None, - doc_only: bool = False, ) -> bool: """ Run a single test cases ``test``. Return True if test succeeds and False if it @@ -219,9 +215,6 @@ def test_case( sys.excepthook(*info) return False - if doc_only: - return True - time_start = datetime.now() comparison_result = test.compare_result(result, encoding=CHARACTER_ENCODING) @@ -483,7 +476,6 @@ def fail_message(why): test_pipeline, fail=fail_message, output_format=output_format, - doc_only=test_pipeline.parameters.doc_only, ) if not success: test_status.mark_as_failed(doctest.key[:-1]) @@ -705,7 +697,6 @@ def show_report(test_pipeline): if test_parameters.data_path is not None and ( test_status.failed == 0 or test_parameters.keep_going ): - save_doctest_data(test_pipeline) return @@ -805,15 +796,6 @@ def build_arg_parser(): action="store_true", help="generate pickled internal document data", ) - parser.add_argument( - "--doc-only", - dest="doc_only", - action="store_true", - help=( - "generate pickled internal document data without running tests; " - "Can't be used with --section or --reload." - ), - ) parser.add_argument( "--reload", "-r", diff --git a/mathics/settings.py b/mathics/settings.py index 9f4f27e6a..3f04188eb 100644 --- a/mathics/settings.py +++ b/mathics/settings.py @@ -49,7 +49,7 @@ def get_srcdir(): ROOT_DIR = osp.dirname(__file__) if sys.platform.startswith("win"): - DATA_DIR = canonic_filename(osp.join(os.environ["APPDATA"], "Python", "Mathics")) + DATA_DIR = osp.join(os.environ["APPDATA"], "Python", "Mathics3") else: DATA_DIR = osp.join( os.environ.get("APPDATA", osp.expanduser("~/.local/var/Mathics3/")) From 2f3d7283cc2a81f88bc94e6761955167f0674db6 Mon Sep 17 00:00:00 2001 From: rocky Date: Sat, 19 Sep 2026 11:19:40 -0400 Subject: [PATCH 3/7] gather_latex_doc has been moved to Mathics3-Document-LaTeX --- mathics/gather_latex_doc.py | 64 ------------------------------------- 1 file changed, 64 deletions(-) delete mode 100644 mathics/gather_latex_doc.py diff --git a/mathics/gather_latex_doc.py b/mathics/gather_latex_doc.py deleted file mode 100644 index 092060716..000000000 --- a/mathics/gather_latex_doc.py +++ /dev/null @@ -1,64 +0,0 @@ -#!/usr/bin/env python -# -*- coding: utf-8 -*- -""" -Does 2 things which can are necessary for producing LaTeX documentation -that produces the Mathics3 PDF. - -1. Extracts tests and runs them from static mdoc files and docstrings from - Mathics3 built-in functions -2. Creates/updates internal documentation data -""" -import sys - -from mathics.core.load_builtin import import_and_load_builtins -from mathics.docpipeline import ( - DocTestPipeline, - build_arg_parser, - test_all, - test_chapters, - test_sections, -) -from mathics.settings import get_doctest_latex_data_path - - -def main(): - args = build_arg_parser() - data_path = ( - get_doctest_latex_data_path(should_be_readable=False, create_parent=True) - if args.output - else None - ) - - test_pipeline = DocTestPipeline( - args, output_format="latex", data_path=data_path, doc_only=args.doc_only - ) - test_status = test_pipeline.status - - if args.sections: - include_sections = set(args.sections.split(",")) - exclude_subsections = set(args.exclude.split(",")) - test_sections( - test_pipeline, include_sections, exclude_subsections, output_format="latex" - ) - elif args.chapters: - include_chapters = set(args.chapters.split(",")) - exclude_sections = set(args.exclude.split(",")) - test_chapters( - test_pipeline, include_chapters, exclude_sections, output_format="latex" - ) - else: - test_all(test_pipeline, output_format="latex") - - if test_pipeline.logfile: - test_pipeline.logfile.close() - - if test_status.failed == 0: - print("\nOK") - else: - print("\nFAILED") - sys.exit(1) # Travis-CI knows the tests have failed - - -if __name__ == "__main__": - import_and_load_builtins() - main() From cd1dec5a7bd950d3261dba7ce22b449397d3c4a2 Mon Sep 17 00:00:00 2001 From: rocky Date: Sat, 19 Sep 2026 11:28:17 -0400 Subject: [PATCH 4/7] Some doc tests need moving to Mathics3-FrontEnd-LaTeX --- test/doc/test_common.py | 62 ----------------------------------------- 1 file changed, 62 deletions(-) diff --git a/test/doc/test_common.py b/test/doc/test_common.py index 133c3a9aa..30eadc039 100644 --- a/test/doc/test_common.py +++ b/test/doc/test_common.py @@ -2,24 +2,12 @@ Pytests for the documentation system. Basic functions and classes. """ -import os.path as osp - -from mathics.core.load_builtin import import_and_load_builtins -from mathics.doc.common_doc import ( - DocChapter, - DocPart, - DocSection, - Documentation, - MathicsMainDocumentation, -) from mathics.doc.doc_entries import ( DocTest, DocTests, DocText, - DocumentationEntry, parse_docstring_to_DocumentationEntry_items, ) -from mathics.settings import DOC_DIR DOCTEST_ENTRY = """

@@ -93,53 +81,3 @@ def test_gather_parse_docstring_to_DocumentationEntry_items(): num_tests = [len(t.tests) for t in tests] assert len(tests) == 5 assert all([t == m for t, m in zip(num_tests, [1, 2, 1, 2, 1])]) - - -def test_load_documentation(): - documentation = Documentation() - fn = osp.join(DOC_DIR, "1-Manual.mdoc") - documentation.load_part_from_file(fn, "Main part", False) - part = documentation.get_part("main-part") - assert isinstance(part, DocPart) - third_chapter = part.chapters[2] - assert isinstance(third_chapter, DocChapter) - first_section = third_chapter.sections[0] - assert isinstance(first_section, DocSection) - doc_in_section = first_section.doc - assert isinstance(doc_in_section, DocumentationEntry) - assert all( - isinstance( - item, - ( - DocText, - DocTests, - ), - ) - for item in doc_in_section.items - ) - tests = doc_in_section.get_tests() - assert isinstance(tests, list) - assert isinstance(tests[0], DocTest) - - -def test_load_mathics_documentation(): - import_and_load_builtins() - documentation = MathicsMainDocumentation() - documentation.load_documentation_sources() - - # Check that there are not repeated elements. - visited_parts = set([]) - for part in documentation.parts: - assert part.title not in visited_parts - visited_chapters = set([]) - for chapter in part.chapters: - assert chapter.title not in visited_chapters - visited_chapters.add(chapter.title) - visited_sections = set([]) - for section in chapter.all_sections: - assert section.title not in visited_sections - visited_sections.add(section.title) - visited_subsections = set([]) - for subsection in section.subsections: - assert subsection.title not in visited_subsections - visited_subsections.add(subsection.title) From 07573a8af95d4b92dd780d50c8f1b7ac5fc02f58 Mon Sep 17 00:00:00 2001 From: rocky Date: Sun, 20 Sep 2026 10:13:09 -0400 Subject: [PATCH 5/7] Remove PCL writing and LaTeX doc testsing. --- mathics/docpipeline.py | 13 +---- test/doc/test_latex.py | 122 ----------------------------------------- 2 files changed, 3 insertions(+), 132 deletions(-) delete mode 100644 test/doc/test_latex.py diff --git a/mathics/docpipeline.py b/mathics/docpipeline.py index 6028fc10f..d6a8819ea 100644 --- a/mathics/docpipeline.py +++ b/mathics/docpipeline.py @@ -69,11 +69,7 @@ class DocTestPipeline: the doctests and generate the data for the documentation. """ - def __init__( - self, - args, - output_format="latex", - ): + def __init__(self, args, output_format="latex", data_path=None): self.session = MathicsSession() self.output_data: Dict[tuple, dict] = {} @@ -89,7 +85,7 @@ def __init__( self.parameters = TestParameters( check_partial_elapsed_time=args.elapsed_times, - data_path=None, + data_path=data_path, keep_going=args.keep_going and not args.stop_on_failure, max_tests=args.count + args.skip, quiet=args.quiet, @@ -714,10 +710,7 @@ def test_all( test_pipeline.print_and_log(f"Testing {version_string}") try: - test_tests( - test_pipeline, - excludes=excludes, - ) + test_tests(test_pipeline, excludes=excludes, output_format=output_format) except KeyboardInterrupt: test_pipeline.print_and_log("\nAborted.\n") return diff --git a/test/doc/test_latex.py b/test/doc/test_latex.py deleted file mode 100644 index 4b042cf62..000000000 --- a/test/doc/test_latex.py +++ /dev/null @@ -1,122 +0,0 @@ -""" -Pytests for the documentation system. Basic functions and classes. -""" - -from mathics.core.load_builtin import import_and_load_builtins -from mathics.doc.latex_doc import ( - LaTeXDocChapter, - LaTeXDocPart, - LaTeXDocSection, - LaTeXDocTest, - LaTeXDocTests, - LaTeXDocText, - LaTeXDocumentationEntry, - LaTeXMathicsDocumentation, -) - -# Load the documentation once. -import_and_load_builtins() -LATEX_DOCUMENTATION = LaTeXMathicsDocumentation() - -TEST_DOC_DATA_DICT = { - ( - "Manual", - "Further Tutorial Examples", - "Curve Sketching", - 0, - ): { - "query": "f[x_] := 4 x / (x ^ 2 + 3 x + 5)", - "results": [ - { - "out": [], - "result": "o", - } - ], - }, -} - - -def test_load_latex_documentation(): - """ - Test the structure of the LaTeX Documentation - """ - - documentation = LATEX_DOCUMENTATION - doc_data = TEST_DOC_DATA_DICT - - part = documentation.get_part("manual") - assert isinstance(part, LaTeXDocPart) - - third_chapter = part.chapters[2] - assert isinstance(third_chapter, LaTeXDocChapter) - - first_section = third_chapter.sections[0] - assert isinstance(first_section, LaTeXDocSection) - - doc_in_section = first_section.doc - assert isinstance(doc_in_section, LaTeXDocumentationEntry) - assert all( - isinstance( - item, - ( - LaTeXDocText, - LaTeXDocTests, - ), - ) - for item in doc_in_section.items - ) - - tests = doc_in_section.get_tests() - assert isinstance(tests, list) - assert isinstance(tests[0], LaTeXDocTest) - - assert tests[0].latex(doc_data) == ( - r"%% Test Manual/Further Tutorial Examples/Curve Sketching/0" - "\n" - r"\begin{testcase}" - "\n" - r"\test{\lstinline'f[x\_] := 4 x / (x ^ 2 + 3 x + 5)'}" - "\n" - r"%% mathics-1.asy" - "\n" - r"\begin{testresult}o\end{testresult}\end{testcase}" - ) - assert ( - doc_in_section.latex(doc_data)[:39] - ).strip() == "Let's sketch the function\n\\begin{tests}" - assert ( - first_section.latex(doc_data)[:30] - ).strip() == "\\section{Curve Sketching}{}" - assert ( - third_chapter.latex(doc_data)[:38] - ).strip() == "\\chapter{Further Tutorial Examples}" - - -def test_chapter(): - documentation = LATEX_DOCUMENTATION - part = documentation.parts[1] - chapter = part.chapters_by_slug["testing-expressions"] - print(chapter.sections_by_slug.keys()) - section = chapter.sections_by_slug["numerical-properties"] - expected_latex_section_head = ( - "\\section{Numerical Properties}\n" - "\\label{reference-of-built-in-symbols/testing-expressions/numerical-properties}\n" - "\\sectionstart\n\n\n\n" - "\\subsection{CoprimeQ}\\index{CoprimeQ}" - ) - latex_section_head = section.latex({}).strip()[: len(expected_latex_section_head)] - - assert latex_section_head == expected_latex_section_head - print(60 * "@") - latex_chapter = chapter.latex({}, quiet=False) - - count = 0 - next_pos = 0 - while True: - print(next_pos) - next_pos = latex_chapter.find(latex_section_head, next_pos + 64) - if next_pos == -1: - break - count += 1 - - assert count == 1, "The section is rendered twice" From b6fdb0ec06a37162b08b16b0bb18cb74b38a2b89 Mon Sep 17 00:00:00 2001 From: rocky Date: Sat, 19 Sep 2026 11:06:34 -0400 Subject: [PATCH 6/7] Remove LaTeX PDF generation This is now located in GitHub repository Mathics3/Mathics-Documentation-LaTeX --- mathics/docpipeline.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/mathics/docpipeline.py b/mathics/docpipeline.py index d6a8819ea..7a80299fa 100644 --- a/mathics/docpipeline.py +++ b/mathics/docpipeline.py @@ -85,7 +85,7 @@ def __init__(self, args, output_format="latex", data_path=None): self.parameters = TestParameters( check_partial_elapsed_time=args.elapsed_times, - data_path=data_path, + data_path=None, keep_going=args.keep_going and not args.stop_on_failure, max_tests=args.count + args.skip, quiet=args.quiet, From da75259b17a6c8d8ead748302c01f296c20ddd51 Mon Sep 17 00:00:00 2001 From: rocky Date: Sun, 20 Sep 2026 10:13:09 -0400 Subject: [PATCH 7/7] Remove PCL writing and LaTeX doc testsing. --- mathics/docpipeline.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/mathics/docpipeline.py b/mathics/docpipeline.py index 7a80299fa..d6a8819ea 100644 --- a/mathics/docpipeline.py +++ b/mathics/docpipeline.py @@ -85,7 +85,7 @@ def __init__(self, args, output_format="latex", data_path=None): self.parameters = TestParameters( check_partial_elapsed_time=args.elapsed_times, - data_path=None, + data_path=data_path, keep_going=args.keep_going and not args.stop_on_failure, max_tests=args.count + args.skip, quiet=args.quiet,