-
Notifications
You must be signed in to change notification settings - Fork 0
/
README.tex
314 lines (237 loc) · 9.69 KB
/
README.tex
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
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
% template from http://nook.cs.ucdavis.edu/~koehl/Teaching/ECS20/homeworks.html
\documentclass[11pt]{article}
\usepackage{amsthm,amsmath, amssymb}
\setlength{\oddsidemargin}{0in}
\setlength{\evensidemargin}{0in}
\setlength{\textheight}{9.0in}
\setlength{\textwidth}{6.5in}
\setlength{\topmargin}{-0.5in}
\usepackage{graphicx}
\usepackage{listings}
\lstset{xleftmargin=.25in} % https://tex.stackexchange.com/questions/10828/
\usepackage{multicol}
\usepackage{courier}
\usepackage{verbatim}
\lstset{basicstyle=\footnotesize\ttfamily,breaklines=true}
\usepackage{fancyhdr}
\usepackage{indentfirst}
\pagestyle{fancy}
\usepackage{hyperref}
\usepackage{tikz}
% Due Jun 5
\newcommand{\titleVar}{ECS 175 Fall 2019 - Assignment 1 Manual}
\lhead{\titleVar{}} \chead{} \rhead{lxylxy123456}
\lfoot{} \cfoot{\thepage} \rfoot{}
\renewcommand{\headrulewidth}{0pt}
\renewcommand{\footrulewidth}{0pt}
\setlength\headsep{0.333in}
\title{\bf \titleVar{}}
\author{lxylxy123456 (https://github.com/lxylxy123456/)}
\newcommand{\insertGraph}[3]{
\centerline{\includegraphics[scale=#1]{#2}}
\centerline{#3}
}
\newcommand{\insertTwoGraphs}[3]{
\begin{multicols}{2}
\insertGraph{#1}{#2.png}{#2}
\insertGraph{#1}{#3.png}{#3}
\end{multicols}
}
\begin{document}
\maketitle
\renewcommand\thesubsection{\arabic{section}.\Alph{subsection}}
This work is licensed under a Creative Commons
Attribution-NonCommercial-NoDerivatives 4.0 International License.
(http://creativecommons.org/licenses/by-nc-nd/4.0/)
\section{Run}
Put data file at \lstinline{test_scene} in current working directory.
Then use \lstinline{./Project1} to run the project.
\section{Menu}
\subsection{Introduction}
There is a right-click menu in the system, also all functions can be invoked
using keyboard. For example, \lstinline{a} means just pressing key ``A'' and
\lstinline{A} means press ``Shift + A''. The \lstinline{stdout} at the terminal
will show important instructions and information.
\subsection{Bresenham / DDA}
Right click menu's first option allows switching the line drawing algorithm
between Bresenham and DDA. Also use keyboard \lstinline{b} or \lstinline{d}.
\subsection{Fill / Draw}
Right click menu's second option allows switching between filling (with interior
of polygon) and drawing (only drawing edges). Also use keyboard \lstinline{f}.
\subsection{Clipping}
Right click menu's third option enables clipping. Please follow these steps.
\begin{enumerate}
\item Click on menu's ``Clip'' or press keyboard \lstinline{c}.
\item Go to a corner of the clipping window, press and hold the left mouse
button.
\item Drag the mouse to the other corner of the clipping window, then release
left mouse button.
\end{enumerate}
Right click menu's fourth option ``No Clip'' disables clipping. Also use
keyboard \lstinline{C} (Shift + C).
See the figure below.
\begin{tikzpicture}
\def\s{0.1}
\filldraw [color=gray]
(25.000000 * \s, 25.000000 * \s) --
(26.700000 * \s, 60.700000 * \s) --
(30.000000 * \s, 50.000000 * \s) --
(65.200000 * \s, 50.500000 * \s) --
(43.000000 * \s, 23.000000 * \s) --
(40.000000 * \s, 23.300000 * \s) --
(35.100000 * \s, 37.000000 * \s) --
(28.000000 * \s, 32.100000 * \s) --
(34.400000 * \s, 5.000000 * \s);
\filldraw [color=gray]
( 0.000000 * \s, 0.000000 * \s) --
(10.000000 * \s, 0.000000 * \s) --
(10.000000 * \s, 10.000000 * \s) --
( 0.000000 * \s, 10.000000 * \s);
\filldraw [color=gray]
(56.048951 * \s, 22.500006 * \s) --
(56.048951 * \s, 24.999988 * \s) --
(62.902098 * \s, 22.500006 * \s);
\filldraw [color=gray]
(25.000000 * \s, 0.000000 * \s) --
(25.000000 * \s, 10.000000 * \s) --
(20.000000 * \s, 0.000000 * \s);
\filldraw [color=gray]
(70.000000 * \s, 80.000000 * \s) --
(75.877853 * \s, 78.090170 * \s) --
(79.510565 * \s, 73.090170 * \s) --
(79.510565 * \s, 66.909830 * \s) --
(75.877853 * \s, 61.909830 * \s) --
(70.000000 * \s, 60.000000 * \s) --
(64.122147 * \s, 61.909830 * \s) --
(60.489435 * \s, 66.909830 * \s) --
(60.489435 * \s, 73.090170 * \s) --
(64.122147 * \s, 78.090170 * \s);
\def\x1{}
\draw [color=blue, line width=0.5mm] (2, 4) rectangle (6, 2)
node [pos=1,right] {Clip Window};
\draw [color=black, line width=0.7mm, ->] (2, 2) -- (6, 4);
\filldraw
(2, 2) circle (3pt) node[above left] {Left Mouse Down} --
(6, 4) circle (3pt) node[above right] {Left Mouse Up};
\end{tikzpicture}
\subsection{Hide / Show}
Right click menu's fifth option allows hiding / showing a polygon using its ID.
ID starts with 0. Also use keyboard \lstinline{0} for polygon 0, \lstinline{1}
for polygon 1, etc.
\subsection{Linear Transformation}
Right click menu's 6th, 7th, and 8th option allows doing linear transformation.
selecting the option, use mouse (like in ``Clipping'') to provide two points
on the point to indicate translation vector, rotation angle, or scaling factor.
For convenience, after a specific polygon is selected, it will be colored
{\color{red}red}.
After each transformation, the file \lstinline{test_scene} will be automatically
overwritten with the new scene.
\subsubsection{Translation}
For example, suppose we want to translate polygon 3.
\begin{enumerate}
\item Select ``Translation $\to$ Translate 3'' on menu bar OR press
\lstinline{t} and then \lstinline{3} on keyboard.
\item Drag the mouse from point $a$ to point $b$ on the screen. The translation
vector will be $b - a$;
\end{enumerate}
See the figure below.
\
\begin{tikzpicture}
\filldraw [color=red] (0, 1) rectangle (1, 2) node [pos=1,right] {Old};
\filldraw [color=blue] (3, 2) rectangle (4, 3) node [pos=1,right] {New};
\draw [color=black, line width=0.7mm, ->] (0.4, 2.5) -- (3.4, 3.5);
\filldraw
(0.4, 2.5) circle (3pt) node[left] {Left Mouse Down} --
(3.4, 3.5) circle (3pt) node[above] {Left Mouse Up};
\end{tikzpicture}
\subsubsection{Rotation}
For example, suppose we want to rotate polygon 4.
\begin{enumerate}
\item Select ``Rotation $\to$ Rotate 4'' on menu bar OR press
\lstinline{r} and then \lstinline{4} on keyboard.
\item Drag the mouse from point $a$ to point $b$ on the screen. Suppose the
centroid of polygon 4 is $c$, then the rotation angle will be the angle
between vector $a - c$ and $b - c$.
\end{enumerate}
See the figure below.
\
\begin{tikzpicture}
\filldraw [color=red] (-.5, -.5) rectangle (.5, .5) node [pos=1,right] {Old};
\filldraw [color=blue, opacity=0.5, rotate=45] (-.5, -.5) rectangle (.5, .5) node [pos=1, left, opacity=1] {New};
\draw [color=black, line width=0.7mm, ->] (1, 1) -- (0, 2);
\filldraw
(1, 1) circle (3pt) node[right] {Left Mouse Down} --
(0, 2) circle (3pt) node[above] {Left Mouse Up};
\draw (1, 1) -- (0, 0) -- (0, 2);
\end{tikzpicture}
\subsubsection{Scaling}
For example, suppose we want to scale polygon 2.
\begin{enumerate}
\item Select ``Scaling $\to$ Scale 2'' on menu bar OR press
\lstinline{r} and then \lstinline{2} on keyboard.
\item Drag the mouse from point $a = (x_a, y_a)$ to point $b = (x_b, y_b)$ on
the screen. Suppose the centroid of polygon 2 is $c = (x_c, y_c)$, then the
x scaling factor will be $\displaystyle\frac{x_b - x_c}{x_a - x_c}$ and the
y scaling factor will be $\displaystyle\frac{y_b - y_c}{y_a - y_c}$.
\end{enumerate}
Note: try not to click on points that have close x or y values to the centroid,
as this may make the polygon really big or small.
See the figure below.
\
\begin{tikzpicture}
\filldraw [color=blue!30!white] (-3, -2) rectangle (3, 2) node [pos=1,right, color=blue] {New};
\filldraw [color=red] (-.5, -.5) rectangle (.5, .5) node [pos=1,below right] {Old};
\draw [color=black, line width=0.7mm, ->] (0.5, 0.5) -- (3, 2);
\filldraw
(0.5, 0.5) circle (3pt) node[above left] {Left Mouse Down} --
(3, 2) circle (3pt) node[above] {Left Mouse Up};
\def\x{8}
\def\xx{\x*3^0.5/2}
\def\yy{-\x*1/2}
\filldraw [color=green, rotate=30] (\xx-.5, \yy-.5) rectangle (\xx+.5, \yy+.5);
\draw (\x-2, 0) -- (\x+2, 0) node [pos=1, right, align=left] {
Do not use any \\ point near this line};
\draw (\x , -2) -- (\x , +2) node [pos=1, above, align=left] {
Do not use any \\ point near this line};
\end{tikzpicture}
\subsection{Quitting}
Select ``Quit'' or press \lstinline{q} to quit.
\section{Extra Features}
If you press \lstinline{K} (Shift + K) on keyboard, everything will rotate. This
is just for fun. Press \lstinline{K} (Shift + K) again to stop this behavior.
In my program, the \lstinline[language=c]{draw_pix()} function is passed into
DDA and Bresenham through a function pointer of type
\lstinline[language=c]{void (*)(int, int)}. This gives the user more
flexibility when using my library, and it allows me to highlight the polygon
that is selected to be transformed.
To implement the interactive rotation, there is conversion between
$\alpha$ and $\sin(\alpha)$ and $\cos(\alpha)$ implemented. See program output
when a rotation is completed. Sample output:
``Rotate cos = 0.670286; sin = -0.742103; angle = -47.910835 deg''
\section{Keyboard Summary}
\newcommand{\keyboard}[1]{
Hide / show polygon #1 \ OR \ Select polygon #1 for transformation
}
\begin{tabular}{ | l | l | }\hline
Key choices & Function \\ \hline
b / d / B / D & Bresenham / DDA \\ \hline
f / F & Fill / Draw \\ \hline
c & Enable clip (select region using mouse) \\ \hline
C & Disable clip \\ \hline
t / T & Translation (specify vector using mouse) \\ \hline
r / R & Rotation (specify angle using mouse) \\ \hline
s / S & Scaling (specify factor using mouse) \\ \hline
K & Automatically rotate (extra) \\ \hline
q / Q & Quit \\ \hline
0 & \keyboard{0} \\ \hline
1 & \keyboard{1} \\ \hline
2 & \keyboard{2} \\ \hline
3 & \keyboard{3} \\ \hline
4 & \keyboard{4} \\ \hline
5 & \keyboard{5} \\ \hline
6 & \keyboard{6} \\ \hline
7 & \keyboard{7} \\ \hline
8 & \keyboard{8} \\ \hline
9 & \keyboard{9} \\ \hline
\end{tabular}
\end{document}