development/mathmacros/testcases_speed.lyx

   1 #LyX 1.5.2 created this file. For more info see http://www.lyx.org/
   2 \lyxformat 295
   3 \begin_document
   4 \begin_header
   5 \textclass scrartcl
   6 \begin_preamble
   7 \usepackage{a4wide}
   8 \end_preamble
   9 \options fleqn
  10 \language ngerman
  11 \inputencoding auto
  12 \font_roman ae
  13 \font_sans default
  14 \font_typewriter default
  15 \font_default_family default
  16 \font_sc false
  17 \font_osf false
  18 \font_sf_scale 100
  19 \font_tt_scale 100
  20 \graphics default
  21 \float_placement h
  22 \paperfontsize 12
  23 \spacing single
  24 \use_hyperref false
  25 \papersize default
  26 \use_geometry false
  27 \use_amsmath 2
  28 \use_esint 0
  29 \cite_engine basic
  30 \use_bibtopic false
  31 \paperorientation portrait
  32 \secnumdepth 3
  33 \tocdepth 3
  34 \paragraph_separation skip
  35 \defskip medskip
  36 \quotes_language german
  37 \papercolumns 1
  38 \papersides 1
  39 \paperpagestyle plain
  40 \tracking_changes false
  41 \output_changes false
  42 \author ""
  43 \author ""
  44 \end_header
  45
  46 \begin_manifest
  47 \end_manifest
  48
  49 \begin_body
  50
  51 \begin_layout Standard
  52 \begin_inset FormulaMacro
  53 \newcommand{\abc}[1][42]{\sin\left(\frac{-3}{#1}\right)}
  54 \end_inset
  55
  56
  57 \end_layout
  58
  59 \begin_layout Standard
  60 \begin_inset FormulaMacro
  61 \newcommand{\xyz}[2][42][28]{\sqrt{#1}+\ln\left(\frac{#2}{82}\right)}
  62 \end_inset
  63
  64
  65 \end_layout
  66
  67 \begin_layout Standard
  68 \begin_inset FormulaMacro
  69 \renewcommand{\abc}{asdf}
  70 \end_inset
  71
  72
  73 \end_layout
  74
  75 \begin_layout Standard
  76 \begin_inset Formula \begin{align*}
  77 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
  78 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
  79
  80 \end_inset
  81
  82
  83 \end_layout
  84
  85 \begin_layout Standard
  86 \begin_inset Formula \begin{align*}
  87 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
  88 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
  89
  90 \end_inset
  91
  92
  93 \begin_inset Formula \begin{align*}
  94 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
  95 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
  96
  97 \end_inset
  98
  99
 100 \begin_inset Formula \begin{align*}
 101 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 102 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 103
 104 \end_inset
 105
 106
 107 \begin_inset Formula \begin{align*}
 108 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 109 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 110
 111 \end_inset
 112
 113
 114 \begin_inset Formula \begin{align*}
 115 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 116 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 117
 118 \end_inset
 119
 120
 121 \begin_inset Formula \begin{align*}
 122 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 123 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 124
 125 \end_inset
 126
 127
 128 \begin_inset Formula \begin{align*}
 129 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 130 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 131
 132 \end_inset
 133
 134
 135 \begin_inset Formula \begin{align*}
 136 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 137 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 138
 139 \end_inset
 140
 141
 142 \begin_inset Formula \begin{align*}
 143 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 144 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 145
 146 \end_inset
 147
 148
 149 \begin_inset Formula \begin{align*}
 150 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 151 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 152
 153 \end_inset
 154
 155
 156 \begin_inset Formula \begin{align*}
 157 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 158 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 159
 160 \end_inset
 161
 162
 163 \begin_inset Formula \begin{align*}
 164 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 165 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 166
 167 \end_inset
 168
 169
 170 \begin_inset Formula \begin{align*}
 171 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 172 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 173
 174 \end_inset
 175
 176
 177 \begin_inset Formula \begin{align*}
 178 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 179 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 180
 181 \end_inset
 182
 183
 184 \begin_inset Formula \begin{align*}
 185 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 186 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 187
 188 \end_inset
 189
 190
 191 \begin_inset Formula \begin{align*}
 192 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 193 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 194
 195 \end_inset
 196
 197
 198 \begin_inset Formula \begin{align*}
 199 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 200 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 201
 202 \end_inset
 203
 204
 205 \begin_inset Formula \begin{align*}
 206 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 207 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 208
 209 \end_inset
 210
 211
 212 \begin_inset Formula \begin{align*}
 213 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 214 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 215
 216 \end_inset
 217
 218
 219 \begin_inset Formula \begin{align*}
 220 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 221 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 222
 223 \end_inset
 224
 225
 226 \begin_inset Formula \begin{align*}
 227 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 228 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 229
 230 \end_inset
 231
 232
 233 \begin_inset Formula \begin{align*}
 234 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 235 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 236
 237 \end_inset
 238
 239
 240 \begin_inset Formula \begin{align*}
 241 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 242 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 243
 244 \end_inset
 245
 246
 247 \begin_inset Formula \begin{align*}
 248 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 249 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 250
 251 \end_inset
 252
 253
 254 \begin_inset Formula \begin{align*}
 255 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 256 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 257
 258 \end_inset
 259
 260
 261 \begin_inset Formula \begin{align*}
 262 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 263 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 264
 265 \end_inset
 266
 267
 268 \begin_inset Formula \begin{align*}
 269 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 270 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 271
 272 \end_inset
 273
 274
 275 \begin_inset Formula \begin{align*}
 276 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 277 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 278
 279 \end_inset
 280
 281
 282 \begin_inset Formula \begin{align*}
 283 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 284 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 285
 286 \end_inset
 287
 288
 289 \begin_inset Formula \begin{align*}
 290 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 291 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 292
 293 \end_inset
 294
 295
 296 \begin_inset Formula \begin{align*}
 297 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 298 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 299
 300 \end_inset
 301
 302
 303 \begin_inset Formula \begin{align*}
 304 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 305 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 306
 307 \end_inset
 308
 309
 310 \begin_inset Formula \begin{align*}
 311 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 312 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 313
 314 \end_inset
 315
 316
 317 \begin_inset Formula \begin{align*}
 318 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 319 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 320
 321 \end_inset
 322
 323
 324 \begin_inset Formula \begin{align*}
 325 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\\
 326 \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]] & \xyz[1][\xyz[\xyz[\xyz[1][2]][2]][\xyz[1][2]]]\end{align*}
 327
 328 \end_inset
 329
 330
 331 \end_layout
 332
 333 \end_body
 334 \end_document