obsolete/par-projectionchemin.tex

   1 \def\contourZ{2.2973   0.705301 smoveto
   2            2.25049   0.561268 slineto
   3            2.20779   0.456241 slineto
   4            2.16287   0.376752 slineto
   5            2.10933   0.309334 slineto
   6            2.0227   0.242737 slineto
   7            1.9088   0.193796 slineto
   8            1.77011   0.163577 slineto
   9            1.60932   0.153312 slineto
  10            0.581305   0.153312 slineto
  11            2.30929   2.58931 slineto
  12            2.30929   2.64933 slineto
  13            0.205292   2.64933 slineto
  14            0.12531   1.9653 slineto
  15            0.229352   1.9653 slineto
  16            0.256204   2.09242 slineto
  17            0.285274   2.18726 slineto
  18            0.32042   2.26117 slineto
  19            0.365338   2.3253 slineto
  20            0.450739   2.40109 slineto
  21            0.568741   2.4548 slineto
  22            0.719097   2.48674 slineto
  23            0.901314   2.49734 slineto
  24            1.7853   2.49734 slineto
  25            0.037281   0.0613412 slineto
  26            0.037281   0.00131387 slineto
  27            2.29328   0.00131387 slineto
  28            2.38935   0.705301 slineto closepath}
  29 \def\contourY{-1.18668008 2.64933 smoveto
  30               -2.0627 2.64933  slineto
  31               -2.0627 2.57329  slineto
  32               -1.93189 2.56451  slineto
  33               -1.84673 2.54176  slineto
  34               -1.80058 2.50185  slineto
  35               -1.78671 2.44133  slineto
  36               -1.80124 2.37482  slineto
  37               -1.84271 2.29328  slineto
  38               -2.41465 1.38933  slineto
  39               -3.00671506 2.27734  slineto
  40               -3.05721712 2.37276  slineto
  41               -3.07470798 2.45332  slineto
  42               -3.06403303 2.50062  slineto
  43               -3.03077602 2.53527  slineto
  44               -2.97346 2.55794  slineto
  45               -2.89067984 2.56935  slineto
  46               -2.85119 2.56984  slineto
  47               -2.79067 2.57329  slineto
  48               -2.79067 2.64933  slineto
  49               -3.91065693 2.64933  slineto
  50               -3.91065693 2.57329  slineto
  51               -3.84414196 2.56714  slineto
  52               -3.78469 2.55112  slineto
  53               -3.7267971 2.51975  slineto
  54               -3.66471696 2.46777  slineto
  55               -3.59286499 2.38976  slineto
  56               -3.50573897 2.28022  slineto
  57               -3.3975091 2.13389  slineto
  58               -3.2626729 1.94535  slineto
  59               -2.73869 1.17731  slineto
  60               -2.73869 0.481286  slineto
  61               -2.74115 0.364599  slineto
  62               -2.75068 0.273531  slineto
  63               -2.77055 0.204717  slineto
  64               -2.80422 0.15479  slineto
  65               -2.85496 0.120383  slineto
  66               -2.92608 0.0982117  slineto
  67               -3.02083898 0.0849909  slineto
  68               -3.14270115 0.077354  slineto
  69               -3.14270115 0.00131387  slineto
  70               -1.91866994 0.00131387  slineto
  71               -1.91866994 0.077354  slineto
  72               -2.03864 0.0826095  slineto
  73               -2.13331985 0.094188  slineto
  74               -2.20550013 0.114553  slineto
  75               -2.25822 0.14625  slineto
  76               -2.29419 0.191907  slineto
  77               -2.31636 0.253905  slineto
  78               -2.32761 0.334872  slineto
  79               -2.33064985 0.437354  slineto
  80               -2.33064985 1.21328  slineto
  81               -1.73867011 2.1173  slineto
  82               -1.57821012 2.33474  slineto
  83               -1.44773006 2.4713  slineto
  84               -1.32471991 2.54472 slineto
  85               -1.18668008 2.57329 slineto closepath}
  86
  87 \section {Projection d'un chemin}
  88
  89 La macro \verb+\psProjection+ peut également projeter un chemin décrit
  90 en postscript. Dans ce cas, l'objet transmis à \verb+\psProjection+ est
  91 \Cadre {chemin}, chemin qui est décrit dans la paramètre \verb+path+.
  92
  93 Par exemple, la procédure suivante dessinera, dans le plan choisi,
  94 une grille $8\times8$ au pas de $1$, dont les valeurs limites sont
  95 $[-4,4]$.
  96
  97 %% \begin{boxedverbatim}
  98 \begin{verbatim}
  99       object=chemin,
 100       path=
 101           -4 1 4
 102           {-4 exch smoveto
 103            8 0 srlineto} for
 104           -4 1 4
 105           {-4 smoveto
 106            0 8 srlineto} for
 107 \end{verbatim}
 108 %% \end{boxedverbatim}
 109
 110 Le tracé du chemin ainsi défini fait appel à l'objet \Cadre{chemin} et à
 111 l'option \Cadre{path}.
 112
 113 \begin{minipage}{0.4\linewidth}
 114 \psset{unit=0.5}
 115 \begin{pspicture}(-6,-5)(6,8)%
 116 \psframe*[linecolor=blue!50](-6,-5)(6,7)
 117 \psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60}
 118 \psProjection[object=chemin,fillstyle=solid,fillcolor=white,
 119             linewidth=.05,linecolor=red,
 120             normal=1 1 2 180,
 121             path=
 122                 -4 -4 smoveto
 123                 -4 4 slineto
 124                 4 4 slineto
 125                 4 -4 slineto
 126                 closepath
 127             ](1,1,2)
 128 \psProjection[object=chemin,
 129       linewidth=.02,
 130       normal=1 1 2 180,
 131       path=
 132           -4 1 4
 133           {-4 exch smoveto
 134            8 0 srlineto} for
 135            -4 1 4
 136           {-4 smoveto
 137            0 8 srlineto} for
 138             ](1,1,2)
 139 \psProjection[object=chemin,fillstyle=solid,fillcolor=yellow,
 140             linecolor=red,
 141             normal=1 1 2 180,
 142             path=\contourZ
 143             ](1,1,2)
 144 \psProjection[object=chemin,fillstyle=vlines,hatchcolor=blue,
 145             normal=1 1 2 180,
 146             path=\contourY
 147             ](1,1,2)
 148 \psProjection[object=chemin,fillstyle=hlines,hatchcolor=yellow,
 149             linecolor=red,
 150             normal=1 1 2 180,
 151             path=
 152             2 0 smoveto
 153             0 2 360 {
 154                 /x exch def
 155                 x cos 2 mul
 156              x sin 2 mul
 157                 slineto
 158          } for
 159             ](1,1,2)
 160 \psPoint(0,0,0){O}
 161 \psPoint(1,1,2){O1}\psPoint(1.4,1.4,2.8){K}
 162 \psline[linewidth=.1,linecolor=red](O1)(K)
 163 \psline[linestyle=dashed](O)(O1)
 164 \psProjection[object=chemin,
 165       linewidth=.1,
 166       linecolor=green,
 167       normal=1 1 2 180,
 168       path=
 169             0 0 smoveto
 170             1 0 slineto](1,1,2)
 171 \psProjection[object=chemin,
 172       linewidth=.1,
 173       linecolor=blue,
 174       normal=1 1 2 180,
 175       path=
 176             0 0 smoveto
 177             0 1 slineto](1,1,2)
 178 \axesIIID(4,4,2)(5,5,6)
 179 \end{pspicture}
 180 \end{minipage}
 181 \hfill
 182 \begin{minipage}{0.55\linewidth}
 183 %% \begin{boxedverbatim}
 184 \begin{verbatim}
 185 \psProjection[
 186    object=chemin,
 187    linewidth=.1,linecolor=blue,
 188    fillstyle=solid,fillcolor=yellow,
 189    normal=1 1 2 180,
 190    path=\contourZ
 191    ](1,1,2)
 192 \psProjection[
 193    object=chemin,
 194    fillstyle=vlines,hatchcolor=blue,
 195    normal=1 1 2 180,
 196    path=\contourY
 197    ](1,1,2)
 198 \end{verbatim}
 199 %% \end{boxedverbatim}
 200 \end{minipage}
 201