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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2005-01-09 22:58:21 UTC
  • mfrom: (1.1.1 upstream)
  • Revision ID: james.westby@ubuntu.com-20050109225821-473xr8vhgugxxx5j
Tags: 3.0-12
http://bugs.debian.org/255869
changed configure.in to build scilab's own malloc.o, closes: #255869

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man/fr/graphics/plot3d.xml
 
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<?xml version="1.0" encoding="UTF-8"?>
 
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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
 
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<MAN>
 
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  <LANGUAGE>eng</LANGUAGE>
 
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  <TITLE>plot3d</TITLE>
 
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  <TYPE>Scilab Function</TYPE>
 
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  <DATE>April 1993</DATE>
 
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  <SHORT_DESCRIPTION name="plot3d">3D plot of a surface</SHORT_DESCRIPTION>
 
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  <CALLING_SEQUENCE>
 
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    <CALLING_SEQUENCE_ITEM>plot3d(x,y,z,[theta,alpha,leg,flag,ebox])</CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>plot3d(x,y,z,&lt;opt_args&gt;)</CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM></CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>plot3d(xf,yf,zf,[theta,alpha,leg,flag,ebox])</CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>plot3d(xf,yf,zf,&lt;opt_args&gt;)</CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM></CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>plot3d(xf,yf,list(zf,colors),[theta,alpha,leg,flag,ebox])</CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>plot3d(xf,yf,list(zf,colors),&lt;opt_args&gt;)</CALLING_SEQUENCE_ITEM>
 
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  </CALLING_SEQUENCE>
 
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  <PARAM>
 
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    <PARAM_INDENT>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>x,y</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: row vectors of sizes n1 and n2 (x-axis and y-axis
 
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          coordinates). These coordinates must be monotone.</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>z</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: matrix of size (n1,n2). <VERB>z(i,j)</VERB> is the value of
 
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          the surface at the point (x(i),y(j)).</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>xf,yf,zf</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: matrices of size (nf,n). They define the facets used to draw
 
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          the surface. There are <VERB>n</VERB> facets. Each facet
 
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          <VERB>i</VERB> is defined by a polygon with <VERB>nf</VERB> points.
 
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          The x-axis, y-axis and z-axis coordinates of the points of the ith
 
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          facet are given respectively by <VERB>xf(:,i)</VERB>,
 
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          <VERB>yf(:,i)</VERB> and <VERB>zf(:,i)</VERB>.</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>colors</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: a vector of size n giving the color of each facets or a matrix
 
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          of size (nf,n) giving color near each facet boundary (facet color is
 
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          interpolated ).</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>&lt;opt_args&gt;</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: This represents a sequence of statements <VERB>key1=value1,
 
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          key2=value2</VERB>,... where <VERB>key1</VERB>,
 
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          <VERB>key2,...</VERB> can be one of the following: theta, alpha
 
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          ,leg,flag,ebox (see definition below).</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>theta, alpha</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: real values giving in degree the spherical coordinates of the
 
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          observation point.</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>leg</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: string defining the labels for each axis with @ as a field
 
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          separator, for example "X@Y@Z".</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>flag</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: a real vector of size three.
 
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          <VERB>flag=[mode,type,box]</VERB>.</SP>
 
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          <PARAM_INDENT>
 
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            <PARAM_ITEM>
 
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              <PARAM_NAME>mode</PARAM_NAME>
 
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              <PARAM_DESCRIPTION>
 
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                <SP>: an integer (surface color).</SP>
 
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                <PARAM_INDENT>
 
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                  <PARAM_ITEM>
 
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                    <PARAM_NAME>mode&gt;0</PARAM_NAME>
 
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                    <PARAM_DESCRIPTION>
 
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                      <SP>: the surface is painted with color
 
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                      <VERB>"mode"</VERB> ; the boundary of the facet is drawn
 
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                      with current line style and color.</SP>
 
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                    </PARAM_DESCRIPTION>
 
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                  </PARAM_ITEM>
 
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                  <PARAM_ITEM>
 
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                    <PARAM_NAME>mode=0: </PARAM_NAME>
 
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                    <PARAM_DESCRIPTION>
 
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                      <SP>a mesh of the surface is drawn.</SP>
 
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                    </PARAM_DESCRIPTION>
 
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                  </PARAM_ITEM>
 
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                  <PARAM_ITEM>
 
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                    <PARAM_NAME>mode&lt;0: </PARAM_NAME>
 
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                    <PARAM_DESCRIPTION>
 
141
                      <SP>the surface is painted with color
 
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                      <VERB>"-mode"</VERB> ; the boundary of the facet is not
 
143
                      drawn.</SP>
 
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145
                      <P>Note that the surface color treatement can be done
 
146
                      using <VERB>color_mode</VERB> and
 
147
                      <VERB>color_flag</VERB> options through the surface
 
148
                      entity properties (see
 
149
                      <LINK>surface_properties</LINK>).</P>
 
150
                    </PARAM_DESCRIPTION>
 
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                  </PARAM_ITEM>
 
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                </PARAM_INDENT>
 
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              </PARAM_DESCRIPTION>
 
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            </PARAM_ITEM>
 
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            <PARAM_ITEM>
 
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              <PARAM_NAME>type</PARAM_NAME>
 
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              <PARAM_DESCRIPTION>
 
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                <SP>: an integer (scaling).</SP>
 
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                <PARAM_INDENT>
 
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                  <PARAM_ITEM>
 
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                    <PARAM_NAME>type=0: </PARAM_NAME>
 
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                    <PARAM_DESCRIPTION>
 
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                      <SP>the plot is made using the current 3D scaling (set
 
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                      by a previous call to <VERB>param3d</VERB>,
 
169
                      <VERB>plot3d</VERB>, <VERB>contour</VERB> or
 
170
                      <VERB>plot3d1</VERB>).</SP>
 
171
                    </PARAM_DESCRIPTION>
 
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                  </PARAM_ITEM>
 
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                  <PARAM_ITEM>
 
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                    <PARAM_NAME>type=1: </PARAM_NAME>
 
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177
                    <PARAM_DESCRIPTION>
 
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                      <SP>rescales automatically 3d boxes with extreme aspect
 
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                      ratios, the boundaries are specified by the value of the
 
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                      optional argument <VERB>ebox</VERB>.</SP>
 
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                    </PARAM_DESCRIPTION>
 
182
                  </PARAM_ITEM>
 
183
 
 
184
                  <PARAM_ITEM>
 
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                    <PARAM_NAME>type=2: </PARAM_NAME>
 
186
 
 
187
                    <PARAM_DESCRIPTION>
 
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                      <SP>rescales automatically 3d boxes with extreme aspect
 
189
                      ratios, the boundaries are computed using the given
 
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                      data.</SP>
 
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                    </PARAM_DESCRIPTION>
 
192
                  </PARAM_ITEM>
 
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194
                  <PARAM_ITEM>
 
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                    <PARAM_NAME>type=3: </PARAM_NAME>
 
196
 
 
197
                    <PARAM_DESCRIPTION>
 
198
                      <SP>3d isometric with box bounds given by optional
 
199
                      <VERB>ebox</VERB>, similarily to
 
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                      <VERB>type=1</VERB>.</SP>
 
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                    </PARAM_DESCRIPTION>
 
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                  </PARAM_ITEM>
 
203
 
 
204
                  <PARAM_ITEM>
 
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                    <PARAM_NAME>type=4: </PARAM_NAME>
 
206
 
 
207
                    <PARAM_DESCRIPTION>
 
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                      <SP>3d isometric bounds derived from the data, to
 
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                      similarily<VERB>type=2</VERB>.</SP>
 
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                    </PARAM_DESCRIPTION>
 
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                  </PARAM_ITEM>
 
212
 
 
213
                  <PARAM_ITEM>
 
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                    <PARAM_NAME>type=5: </PARAM_NAME>
 
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216
                    <PARAM_DESCRIPTION>
 
217
                      <SP>3d expanded isometric bounds with box bounds given
 
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                      by optional <VERB>ebox</VERB>, similarily to
 
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                      <VERB>type=1</VERB>.</SP>
 
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                    </PARAM_DESCRIPTION>
 
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                  </PARAM_ITEM>
 
222
 
 
223
                  <PARAM_ITEM>
 
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                    <PARAM_NAME>type=6: </PARAM_NAME>
 
225
 
 
226
                    <PARAM_DESCRIPTION>
 
227
                      <SP>3d expanded isometric bounds derived from the data,
 
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                      similarily to <VERB>type=2</VERB>.</SP>
 
229
 
 
230
                      <P>Note that axes boundaries can be customized through
 
231
                      the axes entity properties (see
 
232
                      <LINK>axes_properties</LINK>).</P>
 
233
                    </PARAM_DESCRIPTION>
 
234
                  </PARAM_ITEM>
 
235
                </PARAM_INDENT>
 
236
              </PARAM_DESCRIPTION>
 
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            </PARAM_ITEM>
 
238
 
 
239
            <PARAM_ITEM>
 
240
              <PARAM_NAME>box</PARAM_NAME>
 
241
 
 
242
              <PARAM_DESCRIPTION>
 
243
                <SP>: an integer (frame around the plot).</SP>
 
244
 
 
245
                <PARAM_INDENT>
 
246
                  <PARAM_ITEM>
 
247
                    <PARAM_NAME>box=0: </PARAM_NAME>
 
248
 
 
249
                    <PARAM_DESCRIPTION>
 
250
                      <SP>nothing is drawn around the plot.</SP>
 
251
                    </PARAM_DESCRIPTION>
 
252
                  </PARAM_ITEM>
 
253
 
 
254
                  <PARAM_ITEM>
 
255
                    <PARAM_NAME>box=1: </PARAM_NAME>
 
256
 
 
257
                    <PARAM_DESCRIPTION>
 
258
                      <SP>unimplemented (like box=0).</SP>
 
259
                    </PARAM_DESCRIPTION>
 
260
                  </PARAM_ITEM>
 
261
 
 
262
                  <PARAM_ITEM>
 
263
                    <PARAM_NAME>box=2: </PARAM_NAME>
 
264
 
 
265
                    <PARAM_DESCRIPTION>
 
266
                      <SP>only the axes behind the surface are drawn.</SP>
 
267
                    </PARAM_DESCRIPTION>
 
268
                  </PARAM_ITEM>
 
269
 
 
270
                  <PARAM_ITEM>
 
271
                    <PARAM_NAME>box=3: </PARAM_NAME>
 
272
 
 
273
                    <PARAM_DESCRIPTION>
 
274
                      <SP>a box surrounding the surface is drawn and captions
 
275
                      are added.</SP>
 
276
                    </PARAM_DESCRIPTION>
 
277
                  </PARAM_ITEM>
 
278
 
 
279
                  <PARAM_ITEM>
 
280
                    <PARAM_NAME>box=4: </PARAM_NAME>
 
281
 
 
282
                    <PARAM_DESCRIPTION>
 
283
                      <SP>a box surrounding the surface is drawn, captions and
 
284
                      axes are added.</SP>
 
285
 
 
286
                      <P>Note that axes aspect can also be customized through
 
287
                      the axes entity properties (see
 
288
                      <LINK>axes_properties</LINK>).</P>
 
289
                    </PARAM_DESCRIPTION>
 
290
                  </PARAM_ITEM>
 
291
                </PARAM_INDENT>
 
292
              </PARAM_DESCRIPTION>
 
293
            </PARAM_ITEM>
 
294
          </PARAM_INDENT>
 
295
        </PARAM_DESCRIPTION>
 
296
      </PARAM_ITEM>
 
297
 
 
298
      <PARAM_ITEM>
 
299
        <PARAM_NAME>ebox</PARAM_NAME>
 
300
 
 
301
        <PARAM_DESCRIPTION>
 
302
          <SP>: It specifies the boundaries of the plot as the vector
 
303
          <VERB>[xmin,xmax,ymin,ymax,zmin,zmax]</VERB>. This argument is used
 
304
          together with <VERB>type</VERB> in <VERB>flag</VERB> : if it is set
 
305
          to <VERB>1</VERB>, <VERB>3</VERB> or <VERB>5</VERB> (see above to
 
306
          see the corresponding behaviour). If <VERB>flag</VERB> is missing,
 
307
          <VERB>ebox</VERB> is not taken into acoount.</SP>
 
308
 
 
309
          <P> Note that, when specified, the <VERB>ebox</VERB> argument acts
 
310
          on the <VERB>data_bounds</VERB> field that can also be reset through
 
311
          the axes entity properties (see <LINK>axes_properties</LINK>).</P>
 
312
        </PARAM_DESCRIPTION>
 
313
      </PARAM_ITEM>
 
314
    </PARAM_INDENT>
 
315
  </PARAM>
 
316
 
 
317
  <DESCRIPTION>
 
318
    <P><VERB>plot3d(x,y,z,[theta,alpha,leg,flag,ebox])</VERB> draws the
 
319
    parametric surface <VERB>z=f(x,y)</VERB>.</P>
 
320
 
 
321
    <P><VERB>plot3d(xf,yf,zf,[theta,alpha,leg ,flag,ebox])</VERB> draws a
 
322
    surface defined by a set of facets. You can draw multiple plots by
 
323
    replacing <VERB>xf</VERB>, <VERB>yf</VERB> and <VERB>zf</VERB> by multiple
 
324
    matrices assembled by rows as <VERB>[xf1 xf2 ...]</VERB>, <VERB>[yf1 yf2
 
325
    ...]</VERB> and <VERB>[zf1 zf2 ...]</VERB>. Note that data can also be set
 
326
    or get through the surface entity properties (see
 
327
    <LINK>surface_properties</LINK>).</P>
 
328
 
 
329
    <P></P>
 
330
 
 
331
    <P>You can give a specific color for each facet by using
 
332
    <VERB>list(zf,colors)</VERB> instead of <VERB>zf</VERB>, where
 
333
    <VERB>colors</VERB> is a vector of size <VERB>n</VERB>. If
 
334
    <VERB>colors(i)</VERB> is positive it gives the color of facet
 
335
    <VERB>i</VERB> and the boundary of the facet is drawn with current line
 
336
    style and color. If <VERB>colors(i)</VERB> is negative, color id
 
337
    <VERB>-colors(i)</VERB> is used and the boundary of the facet is not
 
338
    drawn.</P>
 
339
 
 
340
    <P></P>
 
341
 
 
342
    <P>It is also possible to get interpolated color for facets. For that the
 
343
    color argument must be a matrix of size nfxn giving the color near each
 
344
    boundary of each facets. In this case positive values for colors mean that
 
345
    the boundary are not drawn. Note that colors can also be set through the
 
346
    surface entity properties (via <VERB>tlist</VERB> affectations) and edited
 
347
    using <VERB>color_flag</VERB> option (see
 
348
    <LINK>surface_properties</LINK>).</P>
 
349
 
 
350
    <P></P>
 
351
 
 
352
    <P>The optional arguments <VERB>theta, alpha, leg ,flag, ebox</VERB>, can
 
353
    be passed by a sequence of statements <VERB>key1=value1,
 
354
    key2=value2</VERB>, ... In this case, the order has no special meaning.
 
355
    Note that all these optional arguments except <VERB>flag</VERB> can be
 
356
    customized through the axes entity properties (see
 
357
    <LINK>axes_properties</LINK>). As described before, the <VERB>flag</VERB>
 
358
    option deals with surface entity properties for <VERB>mode</VERB> (see
 
359
    <LINK>surface_properties</LINK>) and axes properties for <VERB>type</VERB>
 
360
    and <VERB>box</VERB> (see <LINK>axes_properties</LINK>).</P>
 
361
 
 
362
    <P></P>
 
363
 
 
364
    <P>You can use the function <VERB>genfac3d</VERB> to compute four sided
 
365
    facets from the surface <VERB>z=f(x,y)</VERB>. <VERB>eval3dp</VERB> can
 
366
    also be used.</P>
 
367
 
 
368
    <P></P>
 
369
 
 
370
    <P>Enter the command <VERB>plot3d()</VERB> to see a demo.</P>
 
371
  </DESCRIPTION>
 
372
 
 
373
  <SECTION label="More information">
 
374
    <P>To get more information on the plot3d old syntax , use the
 
375
    <LINK>plot3d_old_version</LINK> help document.</P>
 
376
  </SECTION>
 
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  <EXAMPLE><![CDATA[// simple plot using z=f(x,y) t=[0:0.3:2*%pi]'; z=sin(t)*cos(t'); plot3d(t,t,z) // same plot using facets computed by genfac3d [xx,yy,zz]=genfac3d(t,t,z); clf() plot3d(xx,yy,zz) // multiple plots clf() plot3d([xx xx],[yy yy],[zz 4+zz]) // multiple plots using colors clf() plot3d([xx xx],[yy yy],list([zz zz+4],[4*ones(1,400) 5*ones(1,400)])) // simple plot with viewpoint and captions clf() plot3d(1:10,1:20,10*rand(10,20),alpha=35,theta=45,flag=[2,2,3]) // plot of a sphere using facets computed by eval3dp deff("[x,y,z]=sph(alp,tet)",["x=r*cos(alp).*cos(tet)+orig(1)*ones(tet)";.. "y=r*cos(alp).*sin(tet)+orig(2)*ones(tet)";.. "z=r*sin(alp)+orig(3)*ones(tet)"]); r=1; orig=[0 0 0]; [xx,yy,zz]=eval3dp(sph,linspace(-%pi/2,%pi/2,40),linspace(0,%pi*2,20)); clf();plot3d(xx,yy,zz) clf(); f=gcf(); f.color_map = hotcolormap(128); r=0.3;orig=[1.5 0 0]; [xx1,yy1,zz1]=eval3dp(sph,linspace(-%pi/2,%pi/2,40),linspace(0,%pi*2,20)); cc=(xx+zz+2)*32;cc1=(xx1-orig(1)+zz1/r+2)*32; clf();plot3d1([xx xx1],[yy yy1],list([zz,zz1],[cc cc1]),theta=70,alpha=80,flag=[5,6,3]) //Available operations using only New Graphics... delete(gcf()); t=[0:0.3:2*%pi]'; z=sin(t)*cos(t'); [xx,yy,zz]=genfac3d(t,t,z); plot3d([xx xx],[yy yy],list([zz zz+4],[4*ones(1,400) 5*ones(1,400)])) e=gce(); f=e.data; TL = tlist(["3d" "x" "y" "z" "color"],f.x,f.y,f.z,6*rand(f.z)); // random color matrix e.data = TL; TL2 = tlist(["3d" "x" "y" "z" "color"],f.x,f.y,f.z,4*rand(1,800)); // random color vector e.data = TL2; TL3 = tlist(["3d" "x" "y" "z" "color"],f.x,f.y,f.z,[20*ones(1,400) 6*ones(1,400)]); e.data = TL3; TL4 = tlist(["3d" "x" "y" "z"],f.x,f.y,f.z); // no color e.data = TL4; e.color_flag=1 // color index proportional to altitude (z coord.) e.color_flag=2; // back to default mode e.color_flag= 3; // interpolated shading mode (based on blue default color) clf() plot3d([xx xx],[yy yy],list([zz zz+4],[4*ones(1,400) 5*ones(1,400)])) h=gce(); //get handle on current entity (here the surface) a=gca(); //get current axes a.rotation_angles=[40,70]; a.grid=[1 1 1]; //make grids a.data_bounds=[-6,6;6,-1;0,5]; a.axes_visible="off"; //axes are hidden a.axes_bounds=[.2 0 1 1]; h.color_flag=1; //color according to z h.color_mode=-2; //remove the facets boundary by setting color_mode to white color h.color_flag=2; //color according to given colors h.color_mode = -1; // put the facets boundary back by setting color_mode to black color f=gcf();//get the handle of the parent figure f.color_map=hotcolormap(512); c=[1:400,1:400]; TL.color = [c;c+1;c+2;c+3]; h.data = TL; h.color_flag=3; // interpolated shading mode]]></EXAMPLE>
 
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  <SEE_ALSO>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>eval3dp</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>genfac3d</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>geom3d</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>param3d</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>plot3d1</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>clf</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>gca</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>gcf</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>xdel</LINK>
 
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    </SEE_ALSO_ITEM>
 
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      <LINK>delete</LINK>
 
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    </SEE_ALSO_ITEM>
 
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  </SEE_ALSO>
 
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  <AUTHOR>J.Ph.C.</AUTHOR>
 
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</MAN>
 
 
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