├── .gitignore
├── README.md
├── cheatsheet.pdf
├── cheatsheet.tex
├── fonts
    ├── .gitignore
    └── Makefile
└── images
    └── taichi-lang-logo.eps


/.gitignore:
--------------------------------------------------------------------------------
 1 | # built cheatsheets and handouts
 2 | # ----------------------------------
 3 | cheatsheet*.pdf
 4 | 
 5 | # TeX auxiliary files
 6 | # ----------------------------------
 7 | *.aux
 8 | *.log
 9 | *.out
10 | *.upa
11 | 
12 | *.synctex(busy)
13 | *.synctex.gz
14 | 
15 | # generated figures
16 | # ----------------------------------
17 | fonts/**/*.[ot]tf
18 | 
19 | # OS specific
20 | .DS_Store
21 | 


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/README.md:
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 1 | # Taichi Language Cheatsheet
 2 | 
 3 | ## Preview for current Taichi version (v1.4.0)
 4 | 
 5 | <div align="center">
 6 | 
 7 | ![cheatsheet](https://user-images.githubusercontent.com/23307174/212649338-c6c355bc-7f32-41aa-8647-4376e1163d12.png)
 8 | 
 9 | </div>
10 | 
11 | ## How to build
12 | 
13 | 1. Go to the `fonts/` folder, run
14 |     ```
15 |     make
16 |     ```
17 |     to download the font files.
18 | 
19 | 2. Use `xelatex` to compile the tex source file:
20 | 
21 |     ```bash
22 |     xelatex cheatsheet.tex
23 |     ```


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/cheatsheet.pdf:
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https://raw.githubusercontent.com/taichi-dev/cheatsheet/3204ded7ca46fafb268358afb6ae3dc3c9906f39/cheatsheet.pdf


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/cheatsheet.tex:
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  1 | % !TeX TS-program = xelatex
  2 | 
  3 | \documentclass[10pt,landscape,a4paper]{article}
  4 | 
  5 | \usepackage[framemethod=TikZ]{mdframed}
  6 | \mdfsetup{skipabove=0pt,skipbelow=0pt}
  7 | 
  8 | \usepackage{multicol}
  9 | \usepackage{colortbl}
 10 | \usepackage{array, multirow}
 11 | 
 12 | \usepackage[right=2.5mm, left=2.5mm, top=2.5mm, bottom=2.5mm]{geometry}
 13 | \usepackage{tikz}
 14 | \usepackage{graphicx}
 15 | \usepackage[percent]{overpic}
 16 | \graphicspath{{./images}}
 17 | \usepackage[export]{adjustbox}
 18 | 
 19 | \usepackage[framemethod=TikZ]{mdframed}
 20 | \mdfsetup{skipabove=0pt,skipbelow=0pt}
 21 | \usepackage{menukeys}
 22 | 
 23 | \usepackage{xcolor}
 24 | \colorlet{citecolor}{black}
 25 | \colorlet{linkcolor}{black}
 26 | \colorlet{urlcolor}{black}
 27 | \usepackage[
 28 |   bookmarks=true,
 29 |   breaklinks=true,
 30 |   pdfborder={0 0 0},
 31 |   citecolor=citecolor,
 32 |   linkcolor=linkcolor,
 33 |   urlcolor=urlcolor,
 34 |   colorlinks=true,
 35 |   linktocpage=false,
 36 |   hyperindex=true,
 37 |   colorlinks=true,
 38 |   linktocpage=false,
 39 |   linkbordercolor=white]{hyperref}
 40 | 
 41 | \usepackage{fontspec}
 42 | \usepackage[fixed]{fontawesome5}
 43 | \usepackage[babel=true]{microtype}
 44 | \defaultfontfeatures{Ligatures=TeX}
 45 | \setmainfont{Source Serif Pro}[
 46 |   Path           = fonts/source-serif-pro/SourceSerifPro-,
 47 |   Extension      = .otf,
 48 |   UprightFont    = Regular,
 49 |   ItalicFont     = LightIt,
 50 |   BoldFont       = Semibold,
 51 |   BoldItalicFont = It ]
 52 | \newfontfamily\RobotoSlab{Roboto Slab}[
 53 |   Path        = fonts/roboto-slab/RobotoSlab-,
 54 |   Extension   = .ttf,
 55 |   UprightFont = Light,
 56 |   BoldFont    = Regular ]
 57 | 
 58 | \definecolor{secbgcol}{HTML}{2D3E40}
 59 | \definecolor{highlight}{HTML}{36A8B2}
 60 | \definecolor{secftcol}{HTML}{ffffff}
 61 | \definecolor{doccol}{HTML}{4cbdc7}
 62 | \definecolor{myblue}{HTML}{12558c}
 63 | 
 64 | \usepackage{listings}
 65 | \definecolor{lightblue}{RGB}{240,245,255}
 66 | \definecolor{darkblue}{RGB}{40,40,85}
 67 | \lstset{
 68 |     language=Python,
 69 |     backgroundcolor = \color{lightblue},
 70 |     basicstyle=\tiny\ttfamily,
 71 |     breaklines=true,
 72 |     showstringspaces=false,
 73 |     keywordstyle=\color{green!35!black},
 74 |     commentstyle=\selectfont\color{gray},
 75 |     numberstyle=\color{blue},
 76 |     morekeywords={constexpr},
 77 |     classoffset=1,
 78 |     morekeywords={dense},
 79 |     keywordstyle=\color{myblue},
 80 |     classoffset=2,
 81 |     morekeywords={
 82 |         ti, Vector, Matrix, Struct, kernel, quant, float,
 83 |         root, hash, Index, Indices, field, vector, matrix,
 84 |         init, ndarray, fill, types, grouped, ndrange, dynamic,
 85 |         from_numpy, from_torch, to_numpy, to_torch, cpu, cast,
 86 |         struct, vec3, kernel, assume_in_range, block_dim, layout
 87 |     },
 88 |     keywordstyle=\color{highlight},
 89 |     classoffset=3,
 90 |     morekeywords={place, f32, f64, u8, u16, u32, u64, i8, i16, i32, i64, f16, float, int},
 91 |     keywordstyle=\color{highlight},
 92 | %    moredelim=**[is][\color{red}]{@}{@},
 93 |     xleftmargin=0.1cm,
 94 |     xrightmargin=0.1cm,
 95 |     frame=tlbr,
 96 |     framesep=0.1cm,
 97 |     framerule=0pt,
 98 | }
 99 | \newcommand{\lcode}[1]{\lstinline[basicstyle=\scriptsize\ttfamily]{#1}}
100 | \setlength\parindent{0pt}
101 | \setlength{\tabcolsep}{2pt}
102 | \baselineskip=0pt
103 | \setlength\columnsep{0.5em}
104 | 
105 | \newcommand{\offset}{\vspace*{0.4em}}
106 | 
107 | \newcommand{\API}[1]{\tikz[baseline=(X.base)]
108 |   \node [fill=doccol, rectangle, inner sep=2pt,rounded corners=1pt] (X)
109 |         {\href{#1}{\color{white}{\tiny \sffamily \textbf{DOC}}}};}
110 | 
111 | 
112 | \newenvironment{myboxed}[1]
113 | {\begin{mdframed}[linecolor=black,
114 |                   backgroundcolor=white,
115 |                   outerlinewidth=0.25pt,
116 |                   %roundcorner=0.25em,
117 |                   innertopmargin=1ex,
118 |                   topline=true,
119 |                   rightline=true,
120 |                   leftline=true,
121 |                   bottomline=true,
122 |                   linecolor=black!0,
123 |                   frametitleaboveskip=0.5em,
124 |                   frametitlebelowskip=0.5em,
125 |                   innerbottommargin=.5\baselineskip,
126 |                   innerrightmargin=.5em,
127 |                   innerleftmargin=.5em,
128 |                   %userdefinedwidth=1\textwidth,
129 |                   % frametitle={\scshape \bfseries \sffamily #1},
130 |                   frametitle={\footnotesize\color{secftcol}\RobotoSlab \bfseries \hspace*{0mm} #1},
131 |                   % frametitlerule=true,
132 |                   %frametitlerulecolor=red,
133 |                   frametitlebackgroundcolor=secbgcol,
134 |                   frametitlerulewidth=2pt]}
135 | {\end{mdframed}}
136 | 
137 | \begin{document}
138 | \thispagestyle{empty}
139 | % \footnotesize
140 | \scriptsize
141 | \begin{multicols*}{5}
142 | 
143 | \begin{overpic}[width=\columnwidth,tics=6, trim=-10 10 0 0, clip]{taichi-lang-logo.eps}
144 | \end{overpic}
145 | \vspace{\fill}
146 | 
147 | \begin{myboxed}{Installation}
148 | \begin{lstlisting}
149 | pip install -U taichi  # Install / upgrade
150 | ti gallery             # Run demo gallery
151 | ti example             # More examples
152 | \end{lstlisting}
153 | \end{myboxed}
154 | 
155 | \begin{myboxed}{Quick start \hfill \API{https://docs.taichi-lang.org/docs/hello_world}}
156 | \begin{lstlisting}
157 | import taichi as ti
158 | ti.init(arch=ti.cpu)
159 | # Or use another backend
160 | # [ti.cuda, ti.vulkan, ti.opengl, ti.metal]
161 | 
162 | @ti.kernel
163 | # Args and return of a kernel must be type hinted
164 | def monte_carlo_pi(n: int) -> float:
165 |     total = 0
166 |     for i in range(n): # A parallel for loop
167 |         x = ti.random()
168 |         y = ti.random()
169 |         if x*x + y*y < 1:
170 |             total += 1
171 | 
172 |     return 4 * total / n
173 | 
174 | print(monte_carlo_pi(100000))
175 | \end{lstlisting}
176 | \end{myboxed}
177 | 
178 | \begin{myboxed}{Kernels and functions \hfill \API{https://docs.taichi-lang.org/docs/kernel\_function}}
179 | \offset
180 | \verb|@ti.kernel|: Entrance for Taichi's JIT to take control. Must be called from Python scope. Require type hints for the arguments and the return
181 |   value. Can return at most one scalar or vector or matrix. Top-level for loops are automatically parallelized.
182 | 
183 | \quad
184 | 
185 | \verb|@ti.func|: Must be called by kernels or other Taichi functions. Recommend type hints for arguments and return
186 |   values. Can return multiple values of scalars, vectors, matrices, and structs.\\
187 | 
188 | 
189 | \textbf{Top-level for loops are automatically parallelized}
190 | \begin{lstlisting}
191 | x = ti.field(dtype=int, shape=100)
192 | @ti.kernel
193 | def loop_field():
194 |     for i in range(100):  # A parallelized loop
195 |         for j in range(10):  # Not parallelized
196 |             ...
197 |     for i in x:  # Also a parallelized loop
198 |         x[i] = i
199 | \end{lstlisting}
200 | 
201 | \textbf{Serialize a top-level for loop}
202 | \begin{lstlisting}
203 | @ti.kernel
204 | def config_loop():
205 |     # Serialize the *next* for loop
206 |     ti.loop_config(serialize=True)
207 |     for i in range(100):  # Serial
208 |         ...
209 |     for i in range(100):  # Parallel
210 |         ...
211 | \end{lstlisting}
212 | 
213 | \textbf{Interact with NumPy/PyTorch \hfill \API{https://docs.taichi-lang.org/docs/external}}
214 | \begin{lstlisting}
215 | x = numpy/torch.arange(12).reshape(3, 4)
216 | @ti.kernel
217 | def fill_array(arr: ti.types.ndarray()):
218 |     print(arr.shape, arr.dtype)
219 |     for i, j in arr:
220 |         arr[i, j] = i + j
221 |         print(arr[i, j])
222 | 
223 | fill_array(x)  # zero copy if on the same device
224 | \end{lstlisting}
225 | \end{myboxed}
226 | \vspace{\fill}
227 | 
228 | \begin{myboxed}{Data types \hfill \API{https://docs.taichi-lang.org/docs/type}}
229 | \offset
230 | \textbf{Primitive types} (int, unsigned int and float in C)
231 | \vspace{-2em}
232 | \begin{multicols*}{3}
233 | \begin{lstlisting}
234 | i8  # char
235 | i16 # short
236 | i32 # int
237 | i64 # long
238 | \end{lstlisting}
239 | 
240 | \begin{lstlisting}
241 | u8  # uchar
242 | u16 # ushort
243 | u32 # uint
244 | u64 # ulong
245 | \end{lstlisting}
246 | 
247 | \begin{lstlisting}
248 | f16 # half
249 | f32 # float
250 | f64 # double
251 | \end{lstlisting}
252 | \end{multicols*}
253 | \vspace{-1.5em}
254 | \textbf{Vector and matrix types}\offset\\
255 | \hspace*{1mm}\raisebox{0.5pt}{\tiny$\bullet$}~\textbf{Vector}: \lcode{ti.types.vector(dim, dtype)}
256 | \begin{lstlisting}
257 | vec3 = ti.types.vector(3, float)
258 | v = vec3(1, 2, 3)
259 | \end{lstlisting}
260 | \hspace*{1mm}\raisebox{0.5pt}{\tiny$\bullet$}~\textbf{Matrix}: \lcode{ti.types.matrix(n, m, dtype)}
261 | \begin{lstlisting}
262 | mat2 = ti.types.matrix(2, 2, float)
263 | m = mat2(1, 2, 3, 4)
264 | \end{lstlisting}
265 | \textbf{Struct types}: \lcode{ti.types.struct(**kwargs)}
266 | \begin{lstlisting}
267 | sphere = ti.types.struct(
268 |     center=vec3, radius=float
269 | )
270 | s = sphere(vec3(1, 2, 3), 1.0)
271 | \end{lstlisting}
272 | 
273 | \textbf{Ndarray types}:
274 | \begin{lstlisting}
275 | ti.types.ndarray(
276 |     dtype, # Data type of the array,
277 |     ndim   # Number of field dimentions
278 | )
279 | \end{lstlisting}
280 | \begin{lstlisting}
281 | img2d_type = ti.types.ndarray(ndim=3)
282 | noise_img = np.random.random((400, 400, 3))
283 | 
284 | @ti.kernel
285 | def process(img: img2d_type):
286 |     for I in ti.grouped(img):
287 |         r, g, b = img[I]
288 |         ...
289 | 
290 | process(noise_img)
291 | \end{lstlisting}
292 | 
293 | \textbf{Typecasting}
294 | \begin{lstlisting}
295 | x = ti.f32(1)
296 | y = ti.u8(x)  # Equivalent to x.cast(ti.u8)
297 | z = float(y)
298 | 
299 | u = vec3(0.5, 1.0, 1.5)
300 | v = u.cast(int)  # Cast each entry to int
301 | \end{lstlisting}
302 | \end{myboxed}
303 | \vspace{\fill}
304 | 
305 | \begin{myboxed}{Performance tuning \hfill \API{https://docs.taichi-lang.org/docs/performance}}
306 | \textbf{Kernel profiler} (CPU and CUDA only)\offset\\
307 | Analyze the performance of Taichi kernels
308 | \begin{lstlisting}
309 | ti.init(arch=ti.cpu, kernel_profiler=True)
310 | @ti.kernel
311 | def some_kernel():
312 |     ...
313 | 
314 | some_kernel()
315 | ti.profiler.print_kernel_profiler_info()
316 | \end{lstlisting}
317 | 
318 | \textbf{Configure loops}\offset\\
319 | Set arguments in \lcode{ti.loop_config()} to control the next for loop:\\
320 | 1. Set the number of threads in a block on GPU:\\
321 | \lstinline[basicstyle=\scriptsize\ttfamily]{block_dim=8}.\\
322 | 2. Set the number of threads to use on CPU:\\
323 | \lstinline[basicstyle=\scriptsize\ttfamily]{parallelize=8}.\\
324 | 3. Whether to let the for loop execute serially:\\
325 | \lstinline[basicstyle=\scriptsize\ttfamily]{serialize=True}.
326 | \end{myboxed}
327 | \vspace{\fill}
328 | 
329 | 
330 | \begin{myboxed}{Data containers \hfill \API{https://docs.taichi-lang.org/docs/field}}
331 | \offset
332 | \textbf{Scalar field}: \lstinline[basicstyle=\scriptsize\ttfamily]{field(dtype, …)}
333 | \begin{lstlisting}
334 | f = ti.field(int, shape=(3, 3, 3))
335 | f[0, 1, 2] = 3  # Indexing with three integers
336 | x = ti.field(int, shape=()) # 0-D field
337 | x[None] = 1.0 # Use None to index 0-D field
338 | \end{lstlisting}
339 | \textbf{Vector field}: \lstinline[basicstyle=\scriptsize\ttfamily]{Vector.field(dim, dtype, …)}
340 | \begin{lstlisting}
341 | f = ti.Vector.field(3, float, (10, 10))
342 | f[0, 1] = 1, 2, 3  # Each entry is a 3D vector
343 | \end{lstlisting}
344 | \textbf{Matrix field}: \lstinline[basicstyle=\scriptsize\ttfamily]{Matrix.field(n, m, dtype, …)}
345 | \begin{lstlisting}
346 | f = ti.Matrix.field(2, 2, float, shape=(10, 10))
347 | f[0, 1] = mat2(1) # Each entry is a 2x2 matrix
348 | \end{lstlisting}
349 | \textbf{Struct field}: \lstinline[basicstyle=\scriptsize\ttfamily]{obj.field(shape)}
350 | \begin{lstlisting}
351 | sphere = ti.types.struct(center=vec3, radius=float)
352 | f = sphere.field(shape=100)
353 | \end{lstlisting}
354 | 
355 | \textbf{Fill a field with a scalar}
356 | \begin{lstlisting}
357 | f.fill(1)
358 | \end{lstlisting}
359 | 
360 | \textbf{Copy data from/to NumPy array/PyTorch tensor}
361 | \begin{lstlisting}
362 | f.from_numpy(arr)
363 | arr = f.to_numpy()
364 | f.from_torch(tensor)
365 | tensor = f.to_torch()
366 | \end{lstlisting}
367 | 
368 | \textbf{Loop over a field in parallel}
369 | \begin{lstlisting}
370 | f = ti.field(int, shape=(100, 100, 100))
371 | @ti.kernel
372 | def loop_field():
373 |     for i, j, k in ti.ndrange(100, 100, 100):
374 |         f[i, j, k] = i + j + k
375 |     # Equivalent to the above
376 |     for i, j, k in f:
377 |         f[i, j,k] = i + j + k
378 |     # Equivalent to the above
379 |     for I in ti.grouped(f):
380 |         # I = [i, j, k] is a 3D int vector
381 |         f[I] = I[0] + I[1] + I[2]
382 | \end{lstlisting}
383 | 
384 | \textbf{Switch data layout between AOS and SOA\hfill\API{https://docs.taichi-lang.org/docs/layout}}
385 | \begin{lstlisting}
386 | u = ti.Vector.field(
387 |     3, float,shape=100, layout=ti.Layout.AOS)
388 | # array of structs [x0,y0,z0,x1,y1,z1,…]
389 | v = ti.Vector.field(
390 |     3, float,shape=100, layout=ti.Layout.SOA)
391 | # struct of arrays [x0,x1,…,y0,y1,…,z0,z1,…]
392 | \end{lstlisting}
393 | \end{myboxed}
394 | 
395 | 
396 | \begin{myboxed}{Math functions \hfill \API{https://docs.taichi-lang.org/docs/math_module}}
397 | %\vspace{-1.5em}
398 | \begin{minipage}[c]{0.43\linewidth}
399 | \begin{lstlisting}
400 | import taichi as ti
401 | 
402 | ti.cos(x)
403 | ti.sin(x)
404 | ti.acos(x)
405 | ti.asin(x)
406 | ti.atan2(y, x)
407 | ti.exp(x)
408 | ti.log(x)
409 | ti.ceil(x, dtype)
410 | ti.floor(x, dtype)
411 | ti.round(x, dtype)
412 | ti.pow(x, a)
413 | ti.tan(x)
414 | ti.tanh(x)
415 | ti.sqrt(x)
416 | ti.max(x,y, …)
417 | ti.min(x,y, …)
418 | ti.random(dtype)
419 | \end{lstlisting}
420 | \end{minipage}
421 | \quad \begin{minipage}[c]{0.52\linewidth}
422 | \begin{lstlisting}
423 | import taichi.math as tm
424 | 
425 | tm.cross(u,v)
426 | tm.dot(u,v)
427 | tm.fract(x)
428 | tm.mod(x,y)
429 | tm.normalize(v)
430 | tm.smoothstep(e0,e1,x)
431 | tm.mix(x,y,a)
432 | tm.step(edge,x)
433 | tm.degrees(x)
434 | tm.radians(x)
435 | tm.clamp(x,xmin,xmax)
436 | tm.length(v)
437 | tm.log2(x)
438 | tm.inverse(mat)
439 | tm.isnan(x)
440 | tm.isinf(x)
441 | tm.sign(x)
442 | \end{lstlisting}
443 | \end{minipage}
444 | 
445 | \end{myboxed}
446 | \vspace{\fill}
447 | 
448 | \begin{myboxed}{Operators \hfill \API{https://docs.taichi-lang.org/docs/operator}}
449 | \offset
450 | \textbf{Arithmetic operators}
451 | \begin{lstlisting}
452 | -x, x + y, x - y, x * y,
453 | x / y, # returns a floating point. 5 / 2 = 2.5
454 | x // y # floor of x / y. 5.0 / 2.0 = 2.0
455 | x % y  # remainder of x / y. x & y can be floats
456 | x ** y # x to the power of y
457 | A @ B  # matrix multiplication
458 | \end{lstlisting}
459 | 
460 | \textbf{Comparison operators}
461 | \begin{lstlisting}
462 | x == y, x != y, x > y, x < y, x >= y, x <= y
463 | \end{lstlisting}
464 | 
465 | \textbf{Logical operators}
466 | \begin{lstlisting}
467 | not, or, and
468 | \end{lstlisting}
469 | 
470 | \textbf{Bitwise operators}
471 | \begin{lstlisting}
472 | ~x, x & y, x ^ y, x | y, x << y, x >> y
473 | \end{lstlisting}
474 | \end{myboxed}
475 | 
476 | \begin{myboxed}{Data-oriented programming \hfill
477 |     \API{https://docs.taichi-lang.org/docs/odop}}
478 | \offset
479 | \textbf{Data-oriented class}
480 | 
481 | When you have data maintained in the Python scope (such as time or user input events) and you want the kernels to track their changes, you can organize them into a data-oriented class.
482 | \begin{lstlisting}
483 | @ti.data_oriented
484 | class TiArray:
485 |     def __init__(self, n):
486 |         self.x = ti.field(dtype=ti.i32, shape=n)
487 | 
488 |     @ti.kernel
489 |     def inc(self):
490 |         for i in self.x:
491 |             self.x[i] += 1
492 | 
493 | a = TiArray(32)
494 | a.inc()
495 | \end{lstlisting}
496 | 
497 | \textbf{dataclass}
498 | 
499 | A dataclass is a wrapper of \lcode{ti.types.struct}. You can define Taichi functions as its methods and call these methods in the Taichi scope.
500 | \begin{lstlisting}
501 | @ti.dataclass
502 | class Sphere:
503 |     center: vec3
504 |     radius: float
505 |     @ti.func
506 |     def area(self): # A Taichi function as method
507 |         return 4 * pi * self.radius**2
508 | 
509 | @ti.kernel
510 | def test():
511 |     sphere = Sphere(vec3(0), radius=1.0)
512 |     print(sphere.area())
513 | \end{lstlisting}
514 | \end{myboxed}
515 | \vspace{\fill}
516 | 
517 | 
518 | \begin{myboxed}{Global settings \hfill
519 |     \API{https://docs.taichi-lang.org/docs/global\_settings}}
520 | \offset
521 | You can config Taichi by passing arguments to the \lcode{ti.init()} call:
522 | 
523 | 1. Choose a backend: \lcode{arch=ti.cuda}.\\
524 | 2. Enable debug mode: \lcode{debug=True}.\\
525 | 3. Set floating precision: \lcode{default_fp=ti.f64}.\\
526 | 4. Set integer precision: \lcode{default_ip=ti.i64}.\\
527 | 5. Set random seed: \lcode{random_seed=0}.\\
528 | 6. Disable offline cache: \lcode{offline_cache=False}.\\
529 | 7. Set logging level: \lcode{log_level=ti.ERROR}.\\
530 | 8. Set pre-allocated memory size for CUDA:\\
531 | \lcode{device_memory_GB=1.3}.\\
532 | 9. Turn on kernel performance profiler:\\
533 | \lcode{kernel_profiler=True}.
534 | \end{myboxed}
535 | \vspace{\fill}
536 | 
537 | \begin{myboxed}{Visualization}
538 | \offset
539 | \textbf{GUI system \hfill \API{https://docs.taichi-lang.org/docs/gui_system}}
540 | \begin{lstlisting}
541 | pixels = ti.Vector.field(3, float, (640, 480))
542 | gui = ti.GUI('Window Title', res=(640, 480))
543 | while gui.running:
544 |     gui.set_image(pixels)
545 |     gui.show()
546 | \end{lstlisting}
547 | 
548 | \textbf{GGUI system \hfill \API{https://docs.taichi-lang.org/docs/ggui}}
549 | \begin{lstlisting}
550 | pixels = ti.Vector.field(3, float, (640, 480))
551 | window = ti.ui.Window('Window Title', (640, 480))
552 | canvas = window.get_canvas()
553 | while window.running:
554 |     canvas.set_image(pixels)
555 |     window.show()
556 | 
557 | window.save_image(filename) # save image file
558 | \end{lstlisting}
559 | 
560 | \textbf{2D canvas drawing API}
561 | \begin{lstlisting}
562 | canvas.set_background_color(color)
563 | canvas.triangles(vertices, color, indices, per_vertex_color)
564 | canvas.circles(vertices, radius, color, per_vertex_color)
565 | canvas.lines(vertices, width, indices, color, per_vertex_color)
566 | \end{lstlisting}
567 | 
568 | \textbf{3D scene drawing API}
569 | \begin{lstlisting}
570 | scene.lines(vertices, width, indices, color, per_vertex_color)
571 | scene.mesh(vertices, indices, normals, color, per_vertex_color)
572 | scene.particles(vertices, radius, color, per_vertex_color)
573 | \end{lstlisting}
574 | \end{myboxed}
575 | \vspace{\fill}
576 | 
577 | \begin{myboxed}{Debugging \lcode{ti.init(..., debug=True)} \hfill
578 |     \API{https://docs.taichi-lang.org/docs/debugging}}
579 | \offset
580 | Debug mode can help check access out-of-bound errors and allow you to \lcode{assert} in Taichi kernels on CPU and CUDA backends.
581 | \begin{lstlisting}
582 | ti.init(arch=ti.cpu, debug=True)
583 | f = ti.field(int, shape=(5, 5))
584 | print(f[7, 7])  # Only raise error in debug mode!
585 | \end{lstlisting}
586 | \textbf{Runtime assert in Taichi kernels and functions}
587 | \begin{lstlisting}
588 | x = ti.field(dtype=ti.f32, shape=128)
589 | @ti.kernel
590 | def foo():
591 |     for i in x:
592 |         assert x[i] >= 0
593 |         x[i] = ti.sqrt(x[i])
594 | \end{lstlisting}
595 | \textbf{Runtime print in Taichi kernels and functions}
596 | \begin{lstlisting}
597 | @ti.kernel
598 | def inside_taichi_scope(x: float):
599 |     # print is supported on cpu, cuda
600 |     # and vulkan backends
601 |     print('hello', x)  # Cannot use f-string
602 | \end{lstlisting}
603 | \textbf{Compile-time static-print}
604 | \begin{lstlisting}
605 | x = ti.field(ti.f32, (2, 3))
606 | @ti.kernel
607 | def print_field_attributes():
608 |     ti.static_print(x.shape, x.dtype)
609 | \end{lstlisting}
610 | 
611 | \textbf{Compile-time static-assert}
612 | \begin{lstlisting}
613 | @ti.func # Assuming dst and src are fields
614 | def copy(dst: ti.template(), src: ti.template()):
615 |     ti.static_assert(dst.shape == src.shape)
616 |     for I in ti.grouped(src):
617 |         dst[I] = src[I]
618 | \end{lstlisting}
619 | \end{myboxed}
620 | 
621 | \end{multicols*}
622 | \end{document}


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/fonts/.gitignore:
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1 | .uuid
2 | 


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/fonts/Makefile:
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 1 | FONT_DIRS := eb-garamond roboto roboto-mono roboto-slab source-code-pro source-sans-pro source-serif-pro pacifico
 2 | 
 3 | EB_GARAMOND_ZIP      := https://bitbucket.org/georgd/eb-garamond/downloads/EBGaramond-0.016.zip
 4 | ROBOTO_ZIP           := https://github.com/googlefonts/roboto/releases/download/v2.138/roboto-unhinted.zip
 5 | ROBOTO_MONO_ZIP      := https://github.com/googlefonts/RobotoMono/archive/8f651634e746da6df6c2c0be73255721d24f2372.zip
 6 | ROBOTO_SLAB_ZIP      := https://github.com/googlefonts/robotoslab/archive/a65e6d00d8e3e7ee2fabef844e58fa12690384d2.zip
 7 | SOURCE_CODE_PRO_ZIP  := https://github.com/adobe-fonts/source-code-pro/releases/download/2.038R-ro%2F1.058R-it%2F1.018R-VAR/OTF-source-code-pro-2.038R-ro-1.058R-it.zip
 8 | SOURCE_SANS_PRO_ZIP  := https://github.com/adobe-fonts/source-sans/releases/download/2.045R-ro%2F1.095R-it/source-sans-pro-2.045R-ro-1.095R-it.zip
 9 | SOURCE_SERIF_PRO_ZIP := https://github.com/adobe-fonts/source-serif/releases/download/3.001R/source-serif-pro-3.001R.zip
10 | PACIFICO_ZIP         := https://fonts.google.com/download?family=Pacifico
11 | 
12 | UNZIP_FLAGS := -x "__MACOSX/*"
13 | 
14 | 
15 | .PHONY: default
16 | default: all
17 | 
18 | .PHONY: all
19 | all: sources
20 | 	mkdir -p $(FONT_DIRS)
21 | 	cd eb-garamond && unzip -j /tmp/eb-garamond.zip "EBGaramond-0.016/otf/*.otf" $(UNZIP_FLAGS)
22 | 	cd roboto && unzip -j /tmp/roboto.zip "*.ttf" $(UNZIP_FLAGS)
23 | 	cd roboto-mono && unzip -j /tmp/roboto-mono.zip "RobotoMono-8f651634e746da6df6c2c0be73255721d24f2372/fonts/ttf/*.ttf" $(UNZIP_FLAGS)
24 | 	cd roboto-slab && unzip -j /tmp/roboto-slab.zip "robotoslab-a65e6d00d8e3e7ee2fabef844e58fa12690384d2/fonts/static/*.ttf" $(UNZIP_FLAGS)
25 | 	cd source-code-pro && unzip -j /tmp/source-code-pro.zip "*.otf" $(UNZIP_FLAGS)
26 | 	cd source-sans-pro && unzip -j /tmp/source-sans-pro.zip "source-sans-pro-2.045R-ro-1.095R-it/OTF/*.otf" $(UNZIP_FLAGS)
27 | 	cd source-serif-pro && unzip -j /tmp/source-serif-pro.zip "source-serif-pro-3.001R/OTF/*.otf" $(UNZIP_FLAGS)
28 | 	cd pacifico && unzip -j /tmp/pacifico.zip "*.ttf" $(UNZIP_FLAGS)
29 | 
30 | .PHONY: sources
31 | sources:
32 | 	wget $(EB_GARAMOND_ZIP) -O /tmp/eb-garamond.zip
33 | 	wget $(ROBOTO_ZIP) -O /tmp/roboto.zip
34 | 	wget $(ROBOTO_MONO_ZIP) -O /tmp/roboto-mono.zip
35 | 	wget $(ROBOTO_SLAB_ZIP) -O /tmp/roboto-slab.zip
36 | 	wget $(SOURCE_CODE_PRO_ZIP) -O /tmp/source-code-pro.zip
37 | 	wget $(SOURCE_SANS_PRO_ZIP) -O /tmp/source-sans-pro.zip
38 | 	wget $(SOURCE_SERIF_PRO_ZIP) -O /tmp/source-serif-pro.zip
39 | 	wget $(PACIFICO_ZIP) -O /tmp/pacifico.zip
40 | 
41 | .PHONY: clean
42 | clean:
43 | 	- rm $(HOME)/.cache/matplotlib/fontlist*
44 | 	- rm -rf $(FONT_DIRS)
45 | 


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232 |  23.102 c 194.398 23.176 194.324 23.324 194.25 23.477 c 194.176 23.773 194.102
233 |  23.926 194.102 24.148 c h
234 | 199.648 27.074 m 199.199 27.074 198.824 26.926 198.523 26.699 c 198.227
235 |  26.477 198.148 26.102 198.148 25.648 c 198.148 25.352 198.227 25.125 198.375
236 |  24.898 c 198.523 24.676 198.75 24.523 199.125 24.375 c 199.426 24.227 199.801
237 |  24.148 200.324 24.148 c 201 24.148 l 201 23.773 l 201 23.551 200.926 23.324
238 |  200.773 23.176 c 200.625 23.023 200.398 22.949 200.176 22.949 c 200.023
239 |  22.949 199.875 22.949 199.801 23.023 c 199.648 23.023 199.574 23.102 199.5
240 |  23.176 c 199.426 23.773 l 198.523 23.773 l 198.523 22.574 l 198.75 22.426
241 |  199.051 22.273 199.352 22.199 c 199.648 22.125 199.949 22.051 200.324 22.051
242 |  c 200.926 22.051 201.449 22.199 201.75 22.5 c 202.125 22.801 202.273 23.176
243 |  202.273 23.699 c 202.273 25.727 l 202.273 25.801 202.273 25.875 202.273
244 |  25.949 c 202.273 26.023 202.273 26.102 202.273 26.102 c 202.727 26.176 
245 | l 202.727 26.926 l 201.227 26.926 l 201.227 26.852 201.148 26.773 201.148
246 |  26.625 c 201.148 26.551 201.074 26.398 201.074 26.324 c 200.926 26.551 
247 | 200.699 26.699 200.551 26.773 c 200.25 27 199.949 27.074 199.648 27.074 
248 | c h
249 | 199.949 26.176 m 200.176 26.176 200.324 26.102 200.551 26.023 c 200.699
250 |  25.949 200.852 25.801 200.926 25.648 c 200.926 24.898 l 200.25 24.898 l
251 |  199.949 24.898 199.727 24.977 199.574 25.125 c 199.426 25.273 199.352 25.426
252 |  199.352 25.648 c 199.352 25.801 199.426 25.949 199.5 26.023 c 199.648 26.176
253 |  199.801 26.176 199.949 26.176 c h
254 | 205.426 27.074 m 204.977 27.074 204.676 26.926 204.449 26.699 c 204.227
255 |  26.477 204.074 26.102 204.074 25.574 c 204.074 23.023 l 203.398 23.023 
256 | l 203.398 22.199 l 204.074 22.199 l 204.074 21.074 l 205.273 21.074 l 205.273
257 |  22.199 l 206.176 22.199 l 206.176 23.023 l 205.273 23.023 l 205.273 25.574
258 |  l 205.273 25.801 205.352 25.875 205.426 26.023 c 205.5 26.102 205.648 26.176
259 |  205.727 26.176 c 205.801 26.176 205.875 26.176 205.949 26.176 c 206.023
260 |  26.176 206.102 26.176 206.176 26.176 c 206.324 27 l 206.176 27.074 206.023
261 |  27.074 205.875 27.074 c 205.727 27.074 205.574 27.074 205.426 27.074 c 
262 | h
263 | 212.102 27.074 m 211.727 27.074 211.426 27.074 211.125 27 c 210.824 26.926
264 |  210.523 26.852 210.227 26.699 c 210.227 25.426 l 211.051 25.426 l 211.199
265 |  26.102 l 211.352 26.176 211.426 26.176 211.574 26.25 c 211.727 26.324 211.875
266 |  26.324 212.023 26.324 c 212.324 26.324 212.551 26.25 212.699 26.176 c 212.852
267 |  26.102 212.926 25.949 212.926 25.801 c 212.926 25.648 212.852 25.5 212.699
268 |  25.426 c 212.551 25.352 212.324 25.199 211.949 25.125 c 211.352 24.977 
269 | 210.977 24.824 210.676 24.602 c 210.375 24.375 210.301 24.074 210.301 23.699
270 |  c 210.301 23.398 210.375 23.176 210.523 22.949 c 210.676 22.727 210.898
271 |  22.574 211.125 22.426 c 211.426 22.273 211.727 22.199 212.176 22.199 c 
272 | 212.551 22.199 212.852 22.199 213.148 22.273 c 213.449 22.352 213.676 22.426
273 |  213.898 22.574 c 213.898 23.852 l 213 23.852 l 212.852 23.25 l 212.773 
274 | 23.176 212.699 23.176 212.551 23.102 c 212.398 23.102 212.324 23.023 212.176
275 |  23.023 c 211.949 23.023 211.727 23.102 211.648 23.176 c 211.5 23.25 211.426
276 |  23.398 211.426 23.551 c 211.426 23.625 211.426 23.699 211.5 23.773 c 211.574
277 |  23.852 211.648 23.926 211.727 24 c 211.875 24.074 212.023 24.148 212.324
278 |  24.148 c 212.926 24.301 213.375 24.449 213.602 24.676 c 213.898 24.898 
279 | 213.977 25.199 213.977 25.574 c 213.977 26.023 213.824 26.324 213.523 26.625
280 |  c 213.227 26.926 212.773 27.074 212.102 27.074 c h
281 | 215.102 27 m 215.102 26.25 l 215.773 26.102 l 215.773 21 l 215.102 20.852
282 |  l 215.102 20.102 l 216.977 20.102 l 216.977 22.801 l 217.125 22.574 217.352
283 |  22.426 217.574 22.273 c 217.801 22.125 218.023 22.125 218.324 22.125 c 
284 | 218.773 22.125 219.227 22.273 219.449 22.574 c 219.75 22.875 219.898 23.398
285 |  219.898 24 c 219.898 26.023 l 220.5 26.176 l 220.5 26.926 l 218.102 26.926
286 |  l 218.102 26.176 l 218.699 26.023 l 218.699 23.926 l 218.699 23.551 218.625
287 |  23.324 218.477 23.176 c 218.324 23.023 218.102 22.949 217.875 22.949 c 
288 | 217.727 22.949 217.5 23.023 217.352 23.102 c 217.199 23.176 217.051 23.324
289 |  216.977 23.477 c 216.977 26.102 l 217.5 26.25 l 217.5 27 l h
290 | 223.648 27.074 m 223.199 27.074 222.824 27 222.449 26.773 c 222.148 26.551
291 |  221.852 26.324 221.699 25.949 c 221.551 25.574 221.398 25.199 221.398 24.75
292 |  c 221.398 24.602 l 221.398 24.148 221.477 23.699 221.699 23.324 c 221.852
293 |  22.949 222.148 22.648 222.449 22.5 c 222.75 22.273 223.125 22.199 223.574
294 |  22.199 c 224.023 22.199 224.398 22.273 224.625 22.426 c 224.926 22.574 
295 | 225.148 22.875 225.301 23.176 c 225.449 23.477 225.523 23.852 225.523 24.301
296 |  c 225.523 24.977 l 222.676 24.977 l 222.676 25.199 222.75 25.426 222.824
297 |  25.574 c 222.898 25.727 223.051 25.875 223.199 26.023 c 223.352 26.102 
298 | 223.574 26.176 223.801 26.176 c 224.023 26.176 224.25 26.176 224.477 26.102
299 |  c 224.699 26.023 224.852 25.949 225.074 25.801 c 225.449 26.551 l 225.227
300 |  26.699 225 26.852 224.699 26.926 c 224.398 27.074 224.023 27.074 223.648
301 |  27.074 c h
302 | 222.676 24.148 m 224.398 24.148 l 224.398 24 l 224.398 23.773 224.398 23.625
303 |  224.324 23.477 c 224.25 23.324 224.176 23.176 224.023 23.102 c 223.875 
304 | 23.023 223.727 22.949 223.574 22.949 c 223.426 22.949 223.273 23.023 223.125
305 |  23.102 c 222.977 23.176 222.898 23.324 222.824 23.477 c 222.75 23.773 222.676
306 |  23.926 222.676 24.148 c h
307 | 228.977 27.074 m 228.523 27.074 228.148 27 227.773 26.773 c 227.477 26.551
308 |  227.176 26.324 227.023 25.949 c 226.875 25.574 226.727 25.199 226.727 24.75
309 |  c 226.727 24.602 l 226.727 24.148 226.801 23.699 227.023 23.324 c 227.176
310 |  22.949 227.477 22.648 227.773 22.5 c 228.074 22.273 228.449 22.199 228.898
311 |  22.199 c 229.352 22.199 229.727 22.273 229.949 22.426 c 230.25 22.574 230.477
312 |  22.875 230.625 23.176 c 230.773 23.477 230.852 23.852 230.852 24.301 c 
313 | 230.852 24.977 l 228 24.977 l 228 25.199 228.074 25.426 228.148 25.574 c
314 |  228.227 25.727 228.375 25.875 228.523 26.023 c 228.676 26.102 228.898 26.176
315 |  229.125 26.176 c 229.352 26.176 229.574 26.176 229.801 26.102 c 230.023
316 |  26.023 230.176 25.949 230.398 25.801 c 230.773 26.551 l 230.551 26.699 
317 | 230.324 26.852 230.023 26.926 c 229.648 27.074 229.352 27.074 228.977 27.074
318 |  c h
319 | 228 24.148 m 229.727 24.148 l 229.727 24 l 229.727 23.773 229.727 23.625
320 |  229.648 23.477 c 229.574 23.324 229.5 23.176 229.352 23.102 c 229.199 23.023
321 |  229.051 22.949 228.898 22.949 c 228.75 22.949 228.602 23.023 228.449 23.102
322 |  c 228.301 23.176 228.227 23.324 228.148 23.477 c 228 23.773 228 23.926 
323 | 228 24.148 c h
324 | 233.773 27.074 m 233.324 27.074 233.023 26.926 232.801 26.699 c 232.574
325 |  26.477 232.426 26.102 232.426 25.574 c 232.426 23.023 l 231.75 23.023 l
326 |  231.75 22.199 l 232.426 22.199 l 232.426 21.074 l 233.625 21.074 l 233.625
327 |  22.199 l 234.523 22.199 l 234.523 23.023 l 233.625 23.023 l 233.625 25.574
328 |  l 233.625 25.801 233.699 25.875 233.773 26.023 c 233.852 26.102 234 26.176
329 |  234.074 26.176 c 234.148 26.176 234.227 26.176 234.301 26.176 c 234.375
330 |  26.176 234.449 26.176 234.523 26.176 c 234.676 27 l 234.523 27.074 234.375
331 |  27.074 234.227 27.074 c 234.074 27.074 233.926 27.074 233.773 27.074 c 
332 | h
333 | 233.773 27.074 m f
334 | 182.477 36 m 180.676 31.199 l 180.227 31.125 l 180.227 30.676 l 181.875
335 |  30.676 l 181.875 31.125 l 181.426 31.199 l 182.625 34.574 l 182.773 35.023
336 |  l 182.926 34.574 l 184.125 31.199 l 183.602 31.125 l 183.602 30.676 l 185.25
337 |  30.676 l 185.25 31.125 l 184.801 31.199 l 183 36 l h
338 | 187.574 36.074 m 187.199 36.074 186.898 36 186.602 35.852 c 186.301 35.699
339 |  186.148 35.477 186 35.176 c 185.852 34.875 185.773 34.5 185.773 34.125 
340 | c 185.773 33.977 l 185.773 33.602 185.852 33.301 186 33 c 186.148 32.699
341 |  186.375 32.477 186.602 32.324 c 186.824 32.176 187.125 32.102 187.426 32.102
342 |  c 187.801 32.102 188.102 32.176 188.324 32.324 c 188.551 32.477 188.773
343 |  32.699 188.852 32.926 c 189 33.227 189 33.523 189 33.824 c 189 34.273 l
344 |  186.449 34.273 l 186.449 34.5 186.523 34.727 186.602 34.949 c 186.676 35.176
345 |  186.824 35.324 186.977 35.398 c 187.125 35.477 187.352 35.551 187.574 35.551
346 |  c 187.801 35.551 188.023 35.551 188.25 35.477 c 188.398 35.398 188.625 
347 | 35.324 188.699 35.176 c 189 35.625 l 188.852 35.773 188.699 35.852 188.398
348 |  36 c 188.25 36 187.949 36.074 187.574 36.074 c h
349 | 186.602 33.602 m 188.398 33.602 l 188.398 33.523 l 188.398 33.301 188.398
350 |  33.148 188.324 33 c 188.25 32.852 188.176 32.699 188.023 32.625 c 187.875
351 |  32.551 187.727 32.477 187.5 32.477 c 187.352 32.477 187.199 32.551 187.051
352 |  32.625 c 186.898 32.699 186.824 32.852 186.75 33 c 186.676 33.227 186.602
353 |  33.375 186.602 33.602 c h
354 | 190.125 36 m 190.125 35.551 l 190.727 35.477 l 190.727 32.625 l 190.125
355 |  32.551 l 190.125 32.102 l 191.398 32.102 l 191.477 32.625 l 191.477 32.699
356 |  l 191.551 32.477 191.699 32.324 191.926 32.25 c 192.074 32.102 192.301 
357 | 32.102 192.523 32.102 c 192.602 32.102 192.676 32.102 192.75 32.102 c 192.824
358 |  32.102 192.898 32.102 192.898 32.102 c 192.824 32.773 l 192.301 32.773 
359 | l 192.074 32.773 191.926 32.773 191.852 32.926 c 191.699 33 191.625 33.148
360 |  191.551 33.301 c 191.551 35.551 l 192.148 35.625 l 192.148 36 l h
361 | 195.301 36.074 m 195 36.074 194.773 36.074 194.551 36 c 194.324 35.926 
362 | 194.102 35.852 193.801 35.773 c 193.801 34.801 l 194.324 34.801 l 194.477
363 |  35.398 l 194.625 35.477 194.773 35.477 194.852 35.551 c 195 35.551 195.148
364 |  35.551 195.301 35.551 c 195.602 35.551 195.824 35.477 195.898 35.398 c 
365 | 196.051 35.324 196.125 35.176 196.125 34.949 c 196.125 34.801 196.051 34.648
366 |  195.898 34.574 c 195.75 34.5 195.523 34.352 195.227 34.273 c 194.773 34.199
367 |  194.398 34.051 194.176 33.824 c 193.949 33.676 193.875 33.375 193.875 33.074
368 |  c 193.875 32.852 193.949 32.699 194.023 32.477 c 194.176 32.324 194.324
369 |  32.176 194.551 32.102 c 194.773 32.023 195 31.949 195.301 31.949 c 195.602
370 |  31.949 195.824 31.949 196.051 32.023 c 196.273 32.102 196.426 32.176 196.574
371 |  32.324 c 196.574 33.227 l 196.051 33.227 l 195.898 32.699 l 195.824 32.625
372 |  195.75 32.625 195.602 32.551 c 195.449 32.551 195.375 32.477 195.227 32.477
373 |  c 195 32.477 194.852 32.551 194.699 32.625 c 194.551 32.699 194.477 32.852
374 |  194.477 33 c 194.477 33.074 194.477 33.148 194.551 33.227 c 194.625 33.301
375 |  194.699 33.375 194.773 33.375 c 194.926 33.449 195.074 33.449 195.301 33.523
376 |  c 195.824 33.676 196.199 33.824 196.426 34.051 c 196.648 34.273 196.727
377 |  34.5 196.727 34.801 c 196.727 35.102 196.574 35.398 196.352 35.625 c 196.273
378 |  36 195.824 36.074 195.301 36.074 c h
379 | 197.852 36 m 197.852 35.551 l 198.449 35.477 l 198.449 32.625 l 197.852
380 |  32.551 l 197.852 32.102 l 199.199 32.102 l 199.199 35.477 l 199.801 35.551
381 |  l 199.801 36 l h
382 | 198.449 31.051 m 198.449 30.301 l 199.199 30.301 l 199.199 31.051 l h
383 | 202.5 36.074 m 202.125 36.074 201.824 36 201.523 35.852 c 201.227 35.699
384 |  201.074 35.477 200.926 35.102 c 200.773 34.801 200.699 34.426 200.699 34.051
385 |  c 200.699 33.977 l 200.699 33.602 200.773 33.227 200.926 32.926 c 201.074
386 |  32.625 201.301 32.398 201.523 32.176 c 201.824 32.023 202.125 31.949 202.5
387 |  31.949 c 202.875 31.949 203.176 32.023 203.477 32.176 c 203.773 32.324 
388 | 203.926 32.551 204.074 32.926 c 204.227 33.227 204.301 33.602 204.301 33.977
389 |  c 204.301 34.051 l 204.301 34.426 204.227 34.801 204.074 35.102 c 203.926
390 |  35.398 203.699 35.625 203.477 35.773 c 203.176 36 202.875 36.074 202.5 
391 | 36.074 c h
392 | 202.5 35.551 m 202.727 35.551 202.949 35.477 203.102 35.398 c 203.25 35.25
393 |  203.398 35.102 203.477 34.875 c 203.551 34.648 203.625 34.426 203.625 34.125
394 |  c 203.625 34.051 l 203.625 33.75 203.551 33.523 203.477 33.301 c 203.398
395 |  33.074 203.25 32.926 203.102 32.773 c 202.949 32.625 202.727 32.551 202.5
396 |  32.551 c 202.273 32.551 202.051 32.625 201.898 32.773 c 201.75 32.926 201.602
397 |  33.074 201.523 33.301 c 201.449 33.523 201.375 33.75 201.375 34.051 c 201.375
398 |  34.125 l 201.375 34.426 201.449 34.648 201.523 34.875 c 201.602 35.102 
399 | 201.75 35.25 201.898 35.398 c 202.125 35.477 202.273 35.551 202.5 35.551
400 |  c h
401 | 205.273 36 m 205.273 35.551 l 205.875 35.477 l 205.875 32.625 l 205.273
402 |  32.551 l 205.273 32.102 l 206.551 32.102 l 206.625 32.699 l 206.773 32.477
403 |  206.926 32.324 207.148 32.25 c 207.375 32.102 207.602 32.102 207.824 32.102
404 |  c 208.273 32.102 208.574 32.25 208.801 32.477 c 209.023 32.699 209.176 
405 | 33.074 209.176 33.602 c 209.176 35.551 l 209.773 35.625 l 209.773 36 l 207.824
406 |  36 l 207.824 35.551 l 208.426 35.477 l 208.426 33.523 l 208.426 33.148 
407 | 208.352 32.926 208.199 32.773 c 208.051 32.625 207.824 32.551 207.602 32.551
408 |  c 207.375 32.551 207.227 32.625 207.074 32.699 c 206.926 32.773 206.773
409 |  32.926 206.699 33.074 c 206.699 35.398 l 207.301 35.477 l 207.301 36 l 
410 | h
411 | 214.949 37.727 m 214.727 37.574 214.5 37.426 214.273 37.199 c 214.051 36.977
412 |  213.898 36.676 213.676 36.375 c 213.523 36.074 213.375 35.699 213.227 35.25
413 |  c 213.148 34.801 213.074 34.352 213.074 33.898 c 213.074 33.449 213.148
414 |  33 213.227 32.551 c 213.301 32.102 213.449 31.727 213.676 31.426 c 213.824
415 |  31.125 214.051 30.824 214.273 30.602 c 214.5 30.375 214.727 30.227 214.949
416 |  30.074 c 215.102 30.523 l 214.949 30.676 214.801 30.824 214.648 31.051 
417 | c 214.5 31.273 214.352 31.5 214.273 31.801 c 214.125 32.102 214.051 32.398
418 |  213.977 32.773 c 213.898 33.148 213.898 33.523 213.898 33.977 c 213.898
419 |  34.051 l 213.898 34.5 213.898 34.875 213.977 35.25 c 214.051 35.625 214.125
420 |  35.926 214.273 36.227 c 214.426 36.523 214.5 36.75 214.648 36.977 c 214.801
421 |  37.199 214.949 37.352 215.102 37.5 c h
422 | 216.074 36 m 216.074 35.551 l 216.898 35.477 l 216.898 31.5 l 216.074 31.5
423 |  l 216.074 31.051 l 217.648 30.75 l 217.648 35.551 l 218.477 35.625 l 218.477
424 |  36 l h
425 | 219.602 37.125 m 219.227 36.824 l 219.375 36.676 219.449 36.449 219.449
426 |  36.301 c 219.523 36.148 219.523 35.926 219.523 35.699 c 219.523 35.176 
427 | l 220.273 35.176 l 220.273 35.699 l 220.273 35.926 220.199 36.227 220.125
428 |  36.449 c 219.977 36.75 219.824 36.977 219.602 37.125 c h
429 | 223.125 36 m 223.125 35.551 l 223.727 35.477 l 223.727 34.801 l 221.324
430 |  34.801 l 221.324 34.426 l 223.648 30.75 l 224.398 30.75 l 224.398 34.273
431 |  l 225.148 34.273 l 225.148 34.875 l 224.398 34.875 l 224.398 35.551 l 225
432 |  35.625 l 225 36 l h
433 | 222.074 34.199 m 223.727 34.199 l 223.727 31.727 l 223.648 31.949 l h
434 | 226.352 37.125 m 225.977 36.824 l 226.125 36.676 226.199 36.449 226.199
435 |  36.301 c 226.273 36.148 226.273 35.926 226.273 35.699 c 226.273 35.176 
436 | l 227.023 35.176 l 227.023 35.699 l 227.023 35.926 226.949 36.227 226.875
437 |  36.449 c 226.727 36.75 226.574 36.977 226.352 37.125 c h
438 | 229.949 36.074 m 229.426 36.074 229.051 35.926 228.676 35.551 c 228.375
439 |  35.176 228.227 34.648 228.227 33.977 c 228.227 32.699 l 228.227 32.023 
440 | 228.375 31.5 228.676 31.125 c 228.977 30.75 229.426 30.602 229.949 30.602
441 |  c 230.477 30.602 230.926 30.75 231.227 31.125 c 231.523 31.5 231.676 32.023
442 |  231.676 32.699 c 231.676 33.977 l 231.676 34.648 231.523 35.176 231.227
443 |  35.551 c 230.852 35.926 230.477 36.074 229.949 36.074 c h
444 | 229.949 35.551 m 230.25 35.551 230.477 35.398 230.699 35.176 c 230.852 
445 | 34.949 230.926 34.574 230.926 34.125 c 230.926 32.551 l 230.926 32.102 230.852
446 |  31.727 230.699 31.5 c 230.551 31.273 230.324 31.125 229.949 31.125 c 229.648
447 |  31.125 229.426 31.273 229.199 31.5 c 229.051 31.727 228.977 32.102 228.977
448 |  32.551 c 228.977 34.125 l 228.977 34.574 229.051 34.949 229.199 35.176 
449 | c 229.426 35.398 229.648 35.551 229.949 35.551 c h
450 | 232.727 37.727 m 232.574 37.352 l 232.727 37.199 232.875 37.051 233.023
451 |  36.824 c 233.176 36.602 233.324 36.375 233.398 36.074 c 233.551 35.773 
452 | 233.625 35.477 233.699 35.102 c 233.773 34.727 233.773 34.352 233.773 33.898
453 |  c 233.773 33.824 l 233.773 33.375 233.773 33 233.699 32.625 c 233.625 32.25
454 |  233.551 31.949 233.398 31.648 c 233.25 31.352 233.176 31.125 233.023 30.898
455 |  c 232.875 30.676 232.727 30.523 232.574 30.375 c 232.727 30 l 232.949 30.074
456 |  233.176 30.301 233.398 30.523 c 233.625 30.75 233.773 31.051 234 31.352
457 |  c 234.148 31.648 234.301 32.023 234.449 32.477 c 234.523 32.926 234.602
458 |  33.375 234.602 33.824 c 234.602 34.273 234.523 34.727 234.449 35.176 c 
459 | 234.375 35.625 234.227 35.926 234 36.301 c 233.852 36.602 233.625 36.898
460 |  233.398 37.125 c 233.176 37.426 232.949 37.574 232.727 37.727 c h
461 | 232.727 37.727 m f
462 | Q Q
463 | showpage
464 | %%Trailer
465 | end
466 | %%EOF
467 | 


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