summaryrefslogtreecommitdiff
path: root/macros/luatex/latex/luacas/doc/reference/ref_calculus/ref_calculus.tex
blob: 31d52ab868585de6d826bc0e828faa96b1d2b723 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
\documentclass{article}

\usepackage{luacas}
\usepackage{amsmath}
\usepackage{amssymb}

\usepackage[margin=1in]{geometry}
\usepackage[shortlabels]{enumitem}

\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\usetikzlibrary{positioning,calc}
\usepackage{forest}
\usepackage{minted}
\usemintedstyle{pastie}
\usepackage[hidelinks]{hyperref}
\usepackage{parskip}
\usepackage{multicol}
\usepackage[most]{tcolorbox}
    \tcbuselibrary{xparse,documentation}
\usepackage{microtype}
\usepackage{makeidx}

\usepackage[
backend=biber,
style=numeric,
]{biblatex}
\addbibresource{sources.bib}

\definecolor{rose}{RGB}{128,0,0}
\definecolor{roseyellow}{RGB}{222,205,99}
\definecolor{roseblue}{RGB}{167,188,214}
\definecolor{rosenavy}{RGB}{79,117,139}
\definecolor{roseorange}{RGB}{232,119,34}
\definecolor{rosegreen}{RGB}{61,68,30}
\definecolor{rosewhite}{RGB}{223,209,167}
\definecolor{rosebrown}{RGB}{108,87,27}
\definecolor{rosegray}{RGB}{84,88,90}

\definecolor{codegreen}{HTML}{49BE25}

\newtcolorbox{codebox}[1][sidebyside]{
    enhanced,skin=bicolor,
    #1,
    arc=1pt,
    colframe=brown,
    colback=brown!15,colbacklower=white,
    boxrule=1pt,
    notitle
}

\newtcolorbox{codehead}[1][]{
    enhanced,
    frame hidden,
    colback=rosegray!15,
    boxrule=0mm,
    leftrule=5mm,
    rightrule=5mm,
    boxsep=0mm,
    arc=0mm,
    outer arc=0mm,
    left=3mm,
    right=3mm,
    top=1mm,
    bottom=1mm,
    toptitle=1mm,
    bottomtitle=1mm,
    oversize,
    #1
}

\usepackage{varwidth}

\newtcolorbox{newcodehead}[2][]{
    enhanced,
    frame hidden,
    colback=rosegray!15,
    boxrule=0mm,
    leftrule=5mm,
    rightrule=5mm,
    boxsep=0mm,
    arc=0mm,
    outer arc=0mm,
    left=3mm,
    right=3mm,
    top=1mm,
    bottom=1mm,
    toptitle=1mm,
    bottomtitle=1mm,
    oversize,
    #1,
    fonttitle=\bfseries\ttfamily\footnotesize,
    coltitle=rosegray,
    attach boxed title to top text right,
    boxed title style={frame hidden,
        size=small,
        bottom=-1mm,
        interior style={fill=none,
            top color=white,
            bottom color=white}
    },
    title={#2}
}

\makeindex

\newcommand{\coderef}[2]{%
\begin{codehead}[sidebyside,segmentation hidden]%
    \mintinline{lua}{#1}%
    \tcblower%
    \begin{flushright}%
    \mintinline{lua}{#2}%
    \end{flushright}%
\end{codehead}%
}

\newcommand{\newcoderef}[3]{%
\begin{newcodehead}[sidebyside,segmentation hidden]{#3}%
    \mintinline{lua}{#1}%
    \tcblower%
    \begin{flushright}%
    \mintinline{lua}{#2}%
    \end{flushright}%
\end{newcodehead}%
}

\usetikzlibrary{shapes.multipart}
\useforestlibrary{edges}

\def\error{\color{red}}
\def\self{\color{gray}}
\def\call{$\star$ }

\begin{document}
\thispagestyle{empty}

\section{Calculus}
    This section contains reference materials for the calculus functionality of \texttt{luacas}. The classes in this module are diagramed below according to inheritance along with the methods/functions one can call upon them. 
    \begin{itemize}
        \item {\error\ttfamily\itshape method}: an abstract method;
        \item {\self\ttfamily\itshape method}: a method that returns the expression unchanged; 
        \item {\ttfamily\itshape method}:  method that is either unique, implements an abstract method, or overrides an abstract
method;
        \item {\tikz[baseline=-0.5ex]\node[fill=roseorange!30] {\ttfamily\bfseries Class};}: a concrete class.
    \end{itemize}
Here is an inheritance diagram of the classes in the calculus module; all these classes inherit from the \texttt{CompoundExpression} branch of the inheritance tree. Most methods are stated, but some were omitted (because they inherit in the obvious way, they are auxiliary and not likely to be interesting to the end-user, etc). 
    \vfill
\forestset{
rectcore/.style = {rectangle split,
               rectangle split parts=2,
               draw = {rosenavy,thick},
               rounded corners = 1pt,
               font = \ttfamily\bfseries,
               fill = roseblue!#1
               },
rectalg/.style = {rectangle split,
               rectangle split parts=2,
               draw = {rose,thick},
               rounded corners = 1pt,
               font = \ttfamily\bfseries,
               fill = rose!#1
               },
rectcalc/.style = {rectangle split,
               rectangle split parts=2,
               draw = {roseorange,thick},
               rounded corners = 1pt,
               font = \ttfamily\bfseries,
               fill = roseorange!#1
               }
}
\forestset{
    multiple directions/.style={
        for tree={#1},
        phantom,
        for relative level=1{
            no edge,
            delay={
                !c.content/.pgfmath=content("!u")},
            before computing xy={l=0,s=0}
            }
        },
    multiple directions/.default={},
    grow subtree/.style={for tree={grow=#1}}, 
    grow' subtree/.style={for tree={grow'=#1}}}
\tikzset{
    every two node part/.style={font=\ttfamily\itshape\footnotesize}
}
\begin{center}
    \begin{forest}
        for tree = {node options={align=left},
            edge = {-stealth}
        },
        forked edges
        [Expression\nodepart{two}$\cdots$,rectcore={0}
            [CompoundExpressions\nodepart{two}$\cdots$,rectcore={0}
                [DerivativeExpression\nodepart{two}
                :new() \\
                :evaluate()\\
                :autosimplify()
                ,rectcalc=30]
                [DiffExpression\nodepart{two}
                :new()\\
                :evaluate()\\
                :autosimplify()
                ,rectcalc=30]
                [IntegralExpression\nodepart{two}
                :new()\\
                :isdefinite()\\
                .table()\\
                .linearproperties()\\
                .substitutionmethod()\\
                .enhancedsubstitutionmethod()\\
                .rationalfunction()\\
                .partsmethod()\\
                .eulersformula()\\
                .integrate()
                ,rectcalc=30]  
            ]
        ]
    \end{forest}
\end{center}
\vfill

\end{document}