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
|
% cancel.sty version 2.2 12-Apr-2013.
% Donald Arseneau asnd@triumf.ca
% This software is contributed to the public domain by its author,
% who disclaims all copyrights. For people and jurisdictions that
% do not recognize contribution to the public domain, this software
% is licensed by the terms of the unlicense, <http://unlicense.org/>.
%
% Commands:
% ~~~~~~~~~
% \cancel draws a diagonal line (slash) through its argument.
% \bcancel uses the negative slope (a backslash).
% \xcancel draws an X (actually \cancel plus \bcancel).
% \cancelto{<value>}{<expression>} draws a diagonal arrow through the
% expression, pointing to the value.
%
% The first three work in math and text mode, but \cancelto is only
% for math mode.
% The slope of the line or arrow depends on what is being cancelled.
%
% Options:
% ~~~~~~~~
% By default, none of these commands affects the horizontal spacing,
% so they might over-print neighboring parts of the formula (or text).
% They do add their height to the expression, so there should never be
% unintended vertical overlap. There is a package option [makeroom] to
% increase the horizontal spacing to make room for the cancellation value.
%
% If you use the color package, then you can declare
% \renewcommand{\CancelColor}{<color_command>}
% and the cancellation marks will be printed in that color (e.g., \blue).
% However, if you are using color, I recommend lightly shaded blocks rather
% than diagonal arrows for cancelling.
%
% The option [thicklines] asks for heavier lines and arrows. This may be
% useful when the lines are colored a light shade.
%
% The size (math style) of the \cancelto value depends on package options
% according to this table:
%
% Current style [samesize] [smaller] [Smaller]
% ------------- ---------------- ---------------- ----------------
% \displaystyle \displaystyle \textstyle \scriptstyle
% \textstyle \textstyle \scriptstyle \scriptstyle
% \scriptstyle \scriptstyle \scriptscriptstyle \scriptscriptstyle
% \scriptscriptstyle \scriptscriptstyle \scriptscriptstyle \scriptscriptstyle
%
% ("smaller" is the default behavior. It gives textstyle limits in
% displaystyle, whereas "Smaller" gives scriptstyle limits.)
%
% This package is provided without guarantees or support. Drawing slashes
% through math to indicate "cancellation" is poor design. I don't recommend
% that you use this package at all.
\ProvidesPackage{cancel}[2013/04/12 v2.2 Cancel math terms]
\newcommand{\CancelColor}{}
\newcommand{\cancelto}{1}% default option = smaller
\let\canto@fil\hidewidth
\let\canc@thinlines\thinlines
\DeclareOption{samesize}{\def\cancelto{999}}
\DeclareOption{smaller}{\def\cancelto{1}}
\DeclareOption{Smaller}{\def\cancelto{0}}
\DeclareOption{makeroom}{\def\canto@fil{\hfil}}
\DeclareOption{overlap}{\let\canto@fil\hidewidth}
\DeclareOption{thicklines}{\let\canc@thinlines\thicklines}
\ProcessOptions
\DeclareRobustCommand\cancel[1]{\ifmmode
\mathpalette{\@cancel{\@can@slash{}}}{#1}\else
\@cancel{\@can@slash{}}\hbox{#1}\fi}
\DeclareRobustCommand\bcancel[1]{\ifmmode
\mathpalette{\@cancel{\@can@slash{-}}}{#1}\else
\@cancel{\@can@slash{-}}\hbox{#1}\fi}
\DeclareRobustCommand\xcancel[1]{\ifmmode
\mathpalette{\@cancel{\@can@slash{+}\@can@slash{-}}}{#1}\else
\@cancel{\@can@slash{+}\@can@slash{-}}\hbox{#1}\fi}
\newcommand\@cancel[3]{%
\OriginalPictureCmds\@begin@tempboxa\hbox{\m@th$#2{#3}$}%
\dimen@\height
\setbox\@tempboxa\hbox{$\m@th\vcenter{\box\@tempboxa}$}%
\advance\dimen@-\height % the difference in height
\unitlength\p@ \canc@thinlines
{\/\raise\dimen@\hbox{\ooalign{#1\hfil\box\@tempboxa\hfil \cr}}}%
\@end@tempboxa
}
\def\@can@slash#1{\canto@fil$\m@th \CancelColor\vcenter{\hbox{%
\dimen@\width \@min@pt\dimen@ 2\@min@pt\totalheight6%
\ifdim\totalheight<\dimen@ % wide
\@min@pt\dimen@ 8%
\@tempcnta\totalheight \multiply\@tempcnta 5 \divide\@tempcnta\dimen@
\advance\dimen@ 2\p@ % "+2"
\edef\@tempa{(\ifcase\@tempcnta 6,#11\or 4,#11\or 2,#11\or 4,#13\else 1,#11\fi
){\strip@pt\dimen@}}%
\else % tall
\@min@pt\totalheight8%
\advance\totalheight2\p@ % "+2"
\@tempcnta\dimen@ \multiply\@tempcnta 5 \divide\@tempcnta\totalheight
\dimen@ \ifcase\@tempcnta .16\or .25\or .5\or .75\else 1\fi \totalheight
\edef\@tempa{(\ifcase\@tempcnta 1,#16\or 1,#14\or 1,#12\or 3,#14\else 1,#11\fi
){\strip@pt\dimen@}}%
\fi
\expandafter\line\@tempa}}$\canto@fil \cr}
\ifcase\cancelto
\def\cancelto#1#2{\mathchoice % Smaller option
{\@cancelto\scriptstyle{#1}\displaystyle{#2}}%
{\@cancelto\scriptstyle{#1}\textstyle{#2}}%
{\@cancelto\scriptscriptstyle{#1}\scriptstyle{#2}}%
{\@cancelto\scriptscriptstyle{#1}\scriptscriptstyle{#2}}%
}
\or
\def\cancelto#1#2{\mathchoice % smaller option (default)
{\@cancelto\textstyle{#1}\displaystyle{#2}}%
{\@cancelto\scriptstyle{#1}\textstyle{#2}}%
{\@cancelto\scriptscriptstyle{#1}\scriptstyle{#2}}%
{\@cancelto\scriptscriptstyle{#1}\scriptscriptstyle{#2}}%
}
\else
\def\cancelto#1#2{\mathchoice % samesize option
{\@cancelto\textstyle{#1}\displaystyle{#2}}%
{\@cancelto\textstyle{#1}\textstyle{#2}}%
{\@cancelto\scriptstyle{#1}\scriptstyle{#2}}%
{\@cancelto\scriptscriptstyle{#1}\scriptscriptstyle{#2}}%
}
\fi
\newcommand\@cancelto[4]{%
\OriginalPictureCmds\@begin@tempboxa\hbox{\m@th$#3{#4}$}%
\dimen@\width % wide
\@min@pt\dimen@ 2\@min@pt\totalheight4
\ifdim\totalheight<\dimen@
\@tempcnta\totalheight \multiply\@tempcnta 5 \divide\@tempcnta\dimen@
\@tempdimb 3\p@ % extra width for arrowhead ("+2")
\advance\dimen@ \ifcase\@tempcnta 5\or 5\or 4\or 3\else 2\fi \p@
\@min@pt\dimen@9\advance\dimen@\p@
\edef\@tempa{\ifcase\@tempcnta 5441\or 5441\or 5421\or 4443\else 3611\fi
{\strip@pt\dimen@}{\strip@pt\@tempdimb}}%
\def\@tempb{Cancel #4 to #2; case wide }%
\else % tall
\advance\totalheight3\p@ % "+2"
\@tempcnta\dimen@ \multiply\@tempcnta 5 \divide\@tempcnta\totalheight
\advance\totalheight3\p@ % "+2"
\dimen@ \ifcase\@tempcnta .25\or .25\or .5\or .75\else 1\fi \totalheight
\@tempdimb \ifcase\@tempcnta .8\or .8\or 1.2\or 1.5\else 2\fi \p@
\edef\@tempa{\ifcase\@tempcnta 0814\or 0814\or 1812\or 2734\else 3611\fi
{\strip@pt\dimen@}{\strip@pt\@tempdimb}}%
\fi
\dimen@\height
\setbox\@tempboxa\hbox{$\m@th\vcenter{\box\@tempboxa}$}%
\advance\dimen@-\height % the difference in height
\unitlength\p@ \canc@thinlines
{\/\raise\dimen@\hbox{\expandafter\canto@vector\@tempa{#1}{#2}}}%
\@end@tempboxa
}
% #1, #2 offset of label #6 extra width to clear arrowhead
% #3, #4 vector direction #7 superscript label style
% #5 vector width #8 superscript label
\def\canto@vector#1#2#3#4#5#6#7#8{%
\dimen@.5\p@
\setbox\z@\vbox{\boxmaxdepth.5\p@
\hbox{\kern-1.2\p@\kern#1\dimen@$#7{#8}\m@th$}}%
\ifx\canto@fil\hidewidth \wd\z@\z@ \else \kern-#6\unitlength \fi
\ooalign{%
\canto@fil$\m@th \CancelColor
\vcenter{\hbox{\dimen@#6\unitlength \kern\dimen@
\multiply\dimen@#4\divide\dimen@#3 \vrule\@depth\dimen@\@width\z@
\vector(#3,#4){#5}%
}}^{\raise#2\dimen@\copy\z@\kern-\scriptspace}$%
\canto@fil \cr
\hfil \box\@tempboxa \kern\wd\z@ \hfil \cr}}
\def\@min@pt#1#2{\ifdim#1<#2\p@ #1#2\p@ \relax\fi}
% pict2e removes bounding box from line and vector, so use original
% versions by declaring \OriginalPictureCmds; make it a no-op if undefined
\@ifundefined{OriginalPictureCmds}{\let\OriginalPictureCmds\relax}{}
% Sometime maybe find a better solution that uses all slopes with pict2e
|
