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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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<div class="refentry" title="toolMatrix">
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<td valign="top">
<h2><span class="refentrytitle"><a name="v-sim-toolMatrix.top_of_page"></a>toolMatrix</span></h2>
<p>toolMatrix — Defines basic handlings on matrix.</p>
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<div class="refsynopsisdiv" title="Synopsis">
<a name="v-sim-toolMatrix.synopsis"></a><h2>Synopsis</h2>
<pre class="synopsis"><span class="returnvalue">void</span>                <a class="link" href="v-sim-toolMatrix.html#tool-matrix-productMatrix" title="tool_matrix_productMatrix ()">tool_matrix_productMatrix</a>           (<em class="parameter"><code><span class="type">float</span> matRes[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> matA[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> matB[3][3]</code></em>);
<span class="returnvalue">void</span>                <a class="link" href="v-sim-toolMatrix.html#tool-matrix-productVector" title="tool_matrix_productVector ()">tool_matrix_productVector</a>           (<em class="parameter"><code><span class="type">float</span> vectRes[3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> mat[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> vect[3]</code></em>);
<a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>            <a class="link" href="v-sim-toolMatrix.html#tool-matrix-invert" title="tool_matrix_invert ()">tool_matrix_invert</a>                  (<em class="parameter"><code><span class="type">float</span> inv[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> mat[3][3]</code></em>);
<span class="returnvalue">float</span>               <a class="link" href="v-sim-toolMatrix.html#tool-matrix-determinant" title="tool_matrix_determinant ()">tool_matrix_determinant</a>             (<em class="parameter"><code><span class="type">float</span> mat[3][3]</code></em>);
<a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>            <a class="link" href="v-sim-toolMatrix.html#tool-matrix-reducePrimitiveVectors" title="tool_matrix_reducePrimitiveVectors ()">tool_matrix_reducePrimitiveVectors</a>  (<em class="parameter"><code><span class="type">double</span> reduced[6]</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> full[3][3]</code></em>);
<a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>            <a class="link" href="v-sim-toolMatrix.html#tool-matrix-getRotationFromFull" title="tool_matrix_getRotationFromFull ()">tool_matrix_getRotationFromFull</a>     (<em class="parameter"><code><span class="type">float</span> rot[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> full[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> box[6]</code></em>);
<a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>            <a class="link" href="v-sim-toolMatrix.html#tool-matrix-constrainInBox" title="tool_matrix_constrainInBox ()">tool_matrix_constrainInBox</a>          (<em class="parameter"><code><span class="type">float</span> translat[3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> xyz[3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> extension[3]</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> XYZToBox[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> boxToXYZ[3][3]</code></em>);
enum                <a class="link" href="v-sim-toolMatrix.html#ToolMatrixSphericalCoord" title="enum ToolMatrixSphericalCoord">ToolMatrixSphericalCoord</a>;
<span class="returnvalue">void</span>                <a class="link" href="v-sim-toolMatrix.html#tool-matrix-cartesianToSpherical" title="tool_matrix_cartesianToSpherical ()">tool_matrix_cartesianToSpherical</a>    (<em class="parameter"><code><span class="type">float</span> *spherical</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> *cartesian</code></em>);
<span class="returnvalue">void</span>                <a class="link" href="v-sim-toolMatrix.html#tool-matrix-sphericalToCartesian" title="tool_matrix_sphericalToCartesian ()">tool_matrix_sphericalToCartesian</a>    (<em class="parameter"><code><span class="type">float</span> *cartesian</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> *spherical</code></em>);
enum                <a class="link" href="v-sim-toolMatrix.html#ToolMatrixScalingFlag" title="enum ToolMatrixScalingFlag">ToolMatrixScalingFlag</a>;
<span class="returnvalue">double</span>              (<a class="link" href="v-sim-toolMatrix.html#tool-matrix-getScaledValue" title="tool_matrix_getScaledValue ()">*tool_matrix_getScaledValue</a>)       (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);
<span class="returnvalue">double</span>              <a class="link" href="v-sim-toolMatrix.html#tool-matrix-getScaledLinear" title="tool_matrix_getScaledLinear ()">tool_matrix_getScaledLinear</a>         (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);
<span class="returnvalue">double</span>              <a class="link" href="v-sim-toolMatrix.html#tool-matrix-getScaledLog" title="tool_matrix_getScaledLog ()">tool_matrix_getScaledLog</a>            (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);
<span class="returnvalue">double</span>              <a class="link" href="v-sim-toolMatrix.html#tool-matrix-getScaledZeroCentredLog" title="tool_matrix_getScaledZeroCentredLog ()">tool_matrix_getScaledZeroCentredLog</a> (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);
<span class="returnvalue">double</span>              <a class="link" href="v-sim-toolMatrix.html#tool-matrix-getScaledLinearInv" title="tool_matrix_getScaledLinearInv ()">tool_matrix_getScaledLinearInv</a>      (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);
<span class="returnvalue">double</span>              <a class="link" href="v-sim-toolMatrix.html#tool-matrix-getScaledLogInv" title="tool_matrix_getScaledLogInv ()">tool_matrix_getScaledLogInv</a>         (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);
<span class="returnvalue">double</span>              <a class="link" href="v-sim-toolMatrix.html#tool-matrix-getScaledZeroCentredLogInv" title="tool_matrix_getScaledZeroCentredLogInv ()">tool_matrix_getScaledZeroCentredLogInv</a>
                                                        (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);
<a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>            <a class="link" href="v-sim-toolMatrix.html#matrixGet-inter2D" title="matrixGet_inter2D ()">matrixGet_inter2D</a>                   (<em class="parameter"><code><span class="type">float</span> *lambda</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> a[2]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> b[2]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> A[2]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> B[2]</code></em>);
<a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>            <a class="link" href="v-sim-toolMatrix.html#matrixGet-inter2DFromList" title="matrixGet_inter2DFromList ()">matrixGet_inter2DFromList</a>           (<em class="parameter"><code><span class="type">float</span> i[2]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> *lambda</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> a[2]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> b[2]</code></em>,
                                                         <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Doubly-Linked-Lists.html#GList"><span class="type">GList</span></a> *set</code></em>);
<span class="returnvalue">void</span>                <a class="link" href="v-sim-toolMatrix.html#initToolMatrix" title="initToolMatrix ()">initToolMatrix</a>                      (<em class="parameter"><code><span class="type">void</span></code></em>);
</pre>
</div>
<div class="refsect1" title="Description">
<a name="v-sim-toolMatrix.description"></a><h2>Description</h2>
<p>
</p>
<p>Some very basic linear algebra are redefined here. It also
gives access to coordinates conversion, essentially between
cartesian and spherical.</p>
<p>
</p>
</div>
<div class="refsect1" title="Details">
<a name="v-sim-toolMatrix.details"></a><h2>Details</h2>
<div class="refsect2" title="tool_matrix_productMatrix ()">
<a name="tool-matrix-productMatrix"></a><h3>tool_matrix_productMatrix ()</h3>
<pre class="programlisting"><span class="returnvalue">void</span>                tool_matrix_productMatrix           (<em class="parameter"><code><span class="type">float</span> matRes[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> matA[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> matB[3][3]</code></em>);</pre>
<p>
Compute the mathematical product between <em class="parameter"><code>matA</code></em> and <em class="parameter"><code>matB</code></em> and
put the result matrix in <em class="parameter"><code>matRes</code></em>.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>matRes</code></em> :</span></p></td>
<td>an array of floating point values of size 3x3 ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>matA</code></em> :</span></p></td>
<td>an array of floating point values of size 3x3 ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>matB</code></em> :</span></p></td>
<td>an array of floating point values of size 3x3.
</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.2</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_productVector ()">
<a name="tool-matrix-productVector"></a><h3>tool_matrix_productVector ()</h3>
<pre class="programlisting"><span class="returnvalue">void</span>                tool_matrix_productVector           (<em class="parameter"><code><span class="type">float</span> vectRes[3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> mat[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> vect[3]</code></em>);</pre>
<p>
Compute the mathematical product between <em class="parameter"><code>matA</code></em> and <em class="parameter"><code>vect</code></em> and
put the result vector in <em class="parameter"><code>vectRes</code></em>.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>vectRes</code></em> :</span></p></td>
<td>an array of floating point values of size 3 ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>mat</code></em> :</span></p></td>
<td>an array of floating point values of size 3x3 ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>vect</code></em> :</span></p></td>
<td>an array of floating point values of size 3.
</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.2</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_invert ()">
<a name="tool-matrix-invert"></a><h3>tool_matrix_invert ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>            tool_matrix_invert                  (<em class="parameter"><code><span class="type">float</span> inv[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> mat[3][3]</code></em>);</pre>
<p>
Calculate the inverse matrix of matrix <em class="parameter"><code>mat</code></em> and store it in <em class="parameter"><code>inv</code></em>.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>inv</code></em> :</span></p></td>
<td>a matrix (out values).
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>mat</code></em> :</span></p></td>
<td>a matrix.
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> FALSE if <em class="parameter"><code>mat</code></em> is singular.
</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.6</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_determinant ()">
<a name="tool-matrix-determinant"></a><h3>tool_matrix_determinant ()</h3>
<pre class="programlisting"><span class="returnvalue">float</span>               tool_matrix_determinant             (<em class="parameter"><code><span class="type">float</span> mat[3][3]</code></em>);</pre>
<p>
Calculate the determinant of matrix <em class="parameter"><code>mat</code></em>.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>mat</code></em> :</span></p></td>
<td>a matrix.
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> the determinant value.
</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.6</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_reducePrimitiveVectors ()">
<a name="tool-matrix-reducePrimitiveVectors"></a><h3>tool_matrix_reducePrimitiveVectors ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>            tool_matrix_reducePrimitiveVectors  (<em class="parameter"><code><span class="type">double</span> reduced[6]</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> full[3][3]</code></em>);</pre>
<p>
This routine transforms the given matrix <em class="parameter"><code>full</code></em> into a reduced array
used by V_Sim to store box definition.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>reduced</code></em> :</span></p></td>
<td> a storage for 6 floating point values ;. <acronym title="Parameter for returning results. Default is transfer full."><span class="acronym">out</span></acronym> caller-allocates. <acronym title="Parameter points to an array of items."><span class="acronym">array</span></acronym> fixed-size=6. </td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>full</code></em> :</span></p></td>
<td> a full 3x3 matrix to be transformed.. <acronym title="Parameter for input. Default is transfer none."><span class="acronym">in</span></acronym>. <acronym title="Parameter points to an array of items."><span class="acronym">array</span></acronym> fixed-size=9. </td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> FALSE if the given matrix is planar.
</td>
</tr>
</tbody>
</table></div>
</div>
<hr>
<div class="refsect2" title="tool_matrix_getRotationFromFull ()">
<a name="tool-matrix-getRotationFromFull"></a><h3>tool_matrix_getRotationFromFull ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>            tool_matrix_getRotationFromFull     (<em class="parameter"><code><span class="type">float</span> rot[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> full[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> box[6]</code></em>);</pre>
<p>
There is a rotation matrix to transform from full cartesian
coordinates into reduced box cartesian coordinates.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>rot</code></em> :</span></p></td>
<td>a rotation matrix (out values).
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>full</code></em> :</span></p></td>
<td>the description of basis set in full development.
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>box</code></em> :</span></p></td>
<td>the description of basis set in align X axis.
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> TRUE if <em class="parameter"><code>full</code></em> does not describe properly a 3D box.
</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.6</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_constrainInBox ()">
<a name="tool-matrix-constrainInBox"></a><h3>tool_matrix_constrainInBox ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>            tool_matrix_constrainInBox          (<em class="parameter"><code><span class="type">float</span> translat[3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> xyz[3]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> extension[3]</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> XYZToBox[3][3]</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> boxToXYZ[3][3]</code></em>);</pre>
<p>
Given the box difintion as the transformation matrices <em class="parameter"><code>XYZToBox</code></em>
and <em class="parameter"><code>boxToXYZ</code></em> and the initial <em class="parameter"><code>xyz</code></em> cartesian coordinates, it
returns the translation <em class="parameter"><code>translat</code></em> to be applied to <em class="parameter"><code>xyz</code></em> to move the
node into the box.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>translat</code></em> :</span></p></td>
<td>a translation in cartesian coordinates (out values).
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>xyz</code></em> :</span></p></td>
<td>a set of cartesian coordinates.
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>extension</code></em> :</span></p></td>
<td>the box expansion in the three directions.
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>XYZToBox</code></em> :</span></p></td>
<td>the transformation matrix to go from cartesian to
reduced coordinates.
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>boxToXYZ</code></em> :</span></p></td>
<td>the reverse transformation matrix.
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> TRUE if <em class="parameter"><code>translat</code></em> is not (0;0;0).
</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.6</p>
</div>
<hr>
<div class="refsect2" title="enum ToolMatrixSphericalCoord">
<a name="ToolMatrixSphericalCoord"></a><h3>enum ToolMatrixSphericalCoord</h3>
<pre class="programlisting">typedef enum
  {
    TOOL_MATRIX_SPHERICAL_MODULUS,
    TOOL_MATRIX_SPHERICAL_THETA,
    TOOL_MATRIX_SPHERICAL_PHI
  } ToolMatrixSphericalCoord;
</pre>
<p>
This is used to access the ordering of the vectors with
<a class="link" href="v-sim-toolMatrix.html#tool-matrix-cartesianToSpherical" title="tool_matrix_cartesianToSpherical ()"><code class="function">tool_matrix_cartesianToSpherical()</code></a> or with
<a class="link" href="v-sim-toolMatrix.html#tool-matrix-sphericalToCartesian" title="tool_matrix_sphericalToCartesian ()"><code class="function">tool_matrix_sphericalToCartesian()</code></a>.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><a name="TOOL-MATRIX-SPHERICAL-MODULUS:CAPS"></a><span class="term"><code class="literal">TOOL_MATRIX_SPHERICAL_MODULUS</code></span></p></td>
<td>the modulus of a spherical vector.
</td>
</tr>
<tr>
<td><p><a name="TOOL-MATRIX-SPHERICAL-THETA:CAPS"></a><span class="term"><code class="literal">TOOL_MATRIX_SPHERICAL_THETA</code></span></p></td>
<td>the theta angle of a spherical vector.
</td>
</tr>
<tr>
<td><p><a name="TOOL-MATRIX-SPHERICAL-PHI:CAPS"></a><span class="term"><code class="literal">TOOL_MATRIX_SPHERICAL_PHI</code></span></p></td>
<td>the phi angle of a spherical vector.
</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.6</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_cartesianToSpherical ()">
<a name="tool-matrix-cartesianToSpherical"></a><h3>tool_matrix_cartesianToSpherical ()</h3>
<pre class="programlisting"><span class="returnvalue">void</span>                tool_matrix_cartesianToSpherical    (<em class="parameter"><code><span class="type">float</span> *spherical</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> *cartesian</code></em>);</pre>
<p>
A method to transform cartesian coordinates in spherical
coordinates (radius, phi and theta).
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>spherical</code></em> :</span></p></td>
<td>an allocated array of 3 floating point values to store the result ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>cartesian</code></em> :</span></p></td>
<td>an allocated array of 3 floating point values to read the input.
</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.3</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_sphericalToCartesian ()">
<a name="tool-matrix-sphericalToCartesian"></a><h3>tool_matrix_sphericalToCartesian ()</h3>
<pre class="programlisting"><span class="returnvalue">void</span>                tool_matrix_sphericalToCartesian    (<em class="parameter"><code><span class="type">float</span> *cartesian</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> *spherical</code></em>);</pre>
<p>
A method to transform spherical coordinates (radius, phi and theta)
to cartesian coordinates.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>cartesian</code></em> :</span></p></td>
<td>an allocated array of 3 floating point values to store the result ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>spherical</code></em> :</span></p></td>
<td>an allocated array of 3 floating point values to read the input.
</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.3</p>
</div>
<hr>
<div class="refsect2" title="enum ToolMatrixScalingFlag">
<a name="ToolMatrixScalingFlag"></a><h3>enum ToolMatrixScalingFlag</h3>
<pre class="programlisting">typedef enum
  {
    linear,
    logarithm,
    zeroCentredLog,
    n_scaleflag
  } ToolMatrixScalingFlag;
</pre>
<p>
Flag used to specify the transformation for <a href="v-sim-scalarFields.html#scalarFieldDraw-map"><code class="function">scalarFieldDraw_map()</code></a>
routine.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><a name="linear"></a><span class="term"><code class="literal">linear</code></span></p></td>
<td>a linear convertion from [min,max] to [0,1] ;
</td>
</tr>
<tr>
<td><p><a name="logarithm"></a><span class="term"><code class="literal">logarithm</code></span></p></td>
<td>a logarithmic transformation from [min,max] to [0,1], the
formula is -(f(x) - f(m) / f(m) where f(x) =
ln((x-xmin)/(xmax-xmin)) ;
</td>
</tr>
<tr>
<td><p><a name="zeroCentredLog"></a><span class="term"><code class="literal">zeroCentredLog</code></span></p></td>
<td>a logarithmic transformation for data that are
zero centred, the formula is
0.5+s*(log(MAX*SEUIL)-log(max(abs(x),MAX*SEUIL)))/(2*log(SEUIL))
where s is the sign, max=max(xmax,-xmin) and seuil a parameter
(1e-5).
</td>
</tr>
<tr>
<td><p><a name="n-scaleflag"></a><span class="term"><code class="literal">n_scaleflag</code></span></p></td>
<td>number of available scale functions.
</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.4</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_getScaledValue ()">
<a name="tool-matrix-getScaledValue"></a><h3>tool_matrix_getScaledValue ()</h3>
<pre class="programlisting"><span class="returnvalue">double</span>              (*tool_matrix_getScaledValue)       (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);</pre>
<p>
Transform <em class="parameter"><code>x</code></em> into [0;1] using the given <em class="parameter"><code>minmax</code></em> values.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>x</code></em> :</span></p></td>
<td>the initial value ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>minmax</code></em> :</span></p></td>
<td>the boundaries for the <em class="parameter"><code>x</code></em> argument.
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> a value into [0;1].

</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.4</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_getScaledLinear ()">
<a name="tool-matrix-getScaledLinear"></a><h3>tool_matrix_getScaledLinear ()</h3>
<pre class="programlisting"><span class="returnvalue">double</span>              tool_matrix_getScaledLinear         (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);</pre>
<p>
Transform <em class="parameter"><code>x</code></em> into [0;1] with a linear scale.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>x</code></em> :</span></p></td>
<td>the initial value ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>minmax</code></em> :</span></p></td>
<td>the boundaries for the <em class="parameter"><code>x</code></em> argument ;
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> a value into [0;1].

</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.5</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_getScaledLog ()">
<a name="tool-matrix-getScaledLog"></a><h3>tool_matrix_getScaledLog ()</h3>
<pre class="programlisting"><span class="returnvalue">double</span>              tool_matrix_getScaledLog            (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);</pre>
<p>
Transform <em class="parameter"><code>x</code></em> into [0;1] with a log scale.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>x</code></em> :</span></p></td>
<td>the initial value ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>minmax</code></em> :</span></p></td>
<td>the boundaries for the <em class="parameter"><code>x</code></em> argument.
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> a value into [0;1].

</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.5</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_getScaledZeroCentredLog ()">
<a name="tool-matrix-getScaledZeroCentredLog"></a><h3>tool_matrix_getScaledZeroCentredLog ()</h3>
<pre class="programlisting"><span class="returnvalue">double</span>              tool_matrix_getScaledZeroCentredLog (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);</pre>
<p>
Transform <em class="parameter"><code>x</code></em> into [0;1] with a log scale with zero centred values.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>x</code></em> :</span></p></td>
<td>the initial value ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>minmax</code></em> :</span></p></td>
<td>the boundaries for the <em class="parameter"><code>x</code></em> argument.
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> a value into [0;1].

</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.5</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_getScaledLinearInv ()">
<a name="tool-matrix-getScaledLinearInv"></a><h3>tool_matrix_getScaledLinearInv ()</h3>
<pre class="programlisting"><span class="returnvalue">double</span>              tool_matrix_getScaledLinearInv      (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);</pre>
<p>
Reverse function for <a class="link" href="v-sim-toolMatrix.html#tool-matrix-getScaledLinear" title="tool_matrix_getScaledLinear ()"><code class="function">tool_matrix_getScaledLinear()</code></a>.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>x</code></em> :</span></p></td>
<td>the initial value ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>minmax</code></em> :</span></p></td>
<td>the boundaries for the <em class="parameter"><code>x</code></em> argument.
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> a value into [0;1].

</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.5</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_getScaledLogInv ()">
<a name="tool-matrix-getScaledLogInv"></a><h3>tool_matrix_getScaledLogInv ()</h3>
<pre class="programlisting"><span class="returnvalue">double</span>              tool_matrix_getScaledLogInv         (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);</pre>
<p>
Reverse function for <a class="link" href="v-sim-toolMatrix.html#tool-matrix-getScaledLog" title="tool_matrix_getScaledLog ()"><code class="function">tool_matrix_getScaledLog()</code></a>.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>x</code></em> :</span></p></td>
<td>the initial value ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>minmax</code></em> :</span></p></td>
<td>the boundaries for the <em class="parameter"><code>x</code></em> argument.
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> a value into [0;1].

</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.5</p>
</div>
<hr>
<div class="refsect2" title="tool_matrix_getScaledZeroCentredLogInv ()">
<a name="tool-matrix-getScaledZeroCentredLogInv"></a><h3>tool_matrix_getScaledZeroCentredLogInv ()</h3>
<pre class="programlisting"><span class="returnvalue">double</span>              tool_matrix_getScaledZeroCentredLogInv
                                                        (<em class="parameter"><code><span class="type">double</span> x</code></em>,
                                                         <em class="parameter"><code><span class="type">double</span> minmax[2]</code></em>);</pre>
<p>
Reverse function for <a class="link" href="v-sim-toolMatrix.html#tool-matrix-getScaledZeroCentredLog" title="tool_matrix_getScaledZeroCentredLog ()"><code class="function">tool_matrix_getScaledZeroCentredLog()</code></a>.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>x</code></em> :</span></p></td>
<td>the initial value ;
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>minmax</code></em> :</span></p></td>
<td>the boundaries for the <em class="parameter"><code>x</code></em> argument.
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> a value into [0;1].

</td>
</tr>
</tbody>
</table></div>
<p class="since">Since 3.5</p>
</div>
<hr>
<div class="refsect2" title="matrixGet_inter2D ()">
<a name="matrixGet-inter2D"></a><h3>matrixGet_inter2D ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>            matrixGet_inter2D                   (<em class="parameter"><code><span class="type">float</span> *lambda</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> a[2]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> b[2]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> A[2]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> B[2]</code></em>);</pre>
<p>
Get the intersection coeeficient of lines [ab] and [AB].
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>lambda</code></em> :</span></p></td>
<td>a location to store a float.
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>a</code></em> :</span></p></td>
<td>a point.
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>b</code></em> :</span></p></td>
<td>another point.
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>A</code></em> :</span></p></td>
<td>a point.
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>B</code></em> :</span></p></td>
<td>another point.
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> TRUE if [ab] and [AB] have an intersection.
</td>
</tr>
</tbody>
</table></div>
</div>
<hr>
<div class="refsect2" title="matrixGet_inter2DFromList ()">
<a name="matrixGet-inter2DFromList"></a><h3>matrixGet_inter2DFromList ()</h3>
<pre class="programlisting"><a href="/usr/share/gtk-doc/html/glib/glib-Basic-Types.html#gboolean"><span class="returnvalue">gboolean</span></a>            matrixGet_inter2DFromList           (<em class="parameter"><code><span class="type">float</span> i[2]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> *lambda</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> a[2]</code></em>,
                                                         <em class="parameter"><code><span class="type">float</span> b[2]</code></em>,
                                                         <em class="parameter"><code><a href="/usr/share/gtk-doc/html/glib/glib-Doubly-Linked-Lists.html#GList"><span class="type">GList</span></a> *set</code></em>);</pre>
<p>
Same as <a class="link" href="v-sim-toolMatrix.html#matrixGet-inter2D" title="matrixGet_inter2D ()"><code class="function">matrixGet_inter2D()</code></a>, but from a list of points.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>i</code></em> :</span></p></td>
<td>a location to store a point.
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>lambda</code></em> :</span></p></td>
<td>a location to store a float.
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>a</code></em> :</span></p></td>
<td>a point.
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>b</code></em> :</span></p></td>
<td>another point.
</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>set</code></em> :</span></p></td>
<td>a list of points.
</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td> TRUE if an intersection exists.
</td>
</tr>
</tbody>
</table></div>
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<hr>
<div class="refsect2" title="initToolMatrix ()">
<a name="initToolMatrix"></a><h3>initToolMatrix ()</h3>
<pre class="programlisting"><span class="returnvalue">void</span>                initToolMatrix                      (<em class="parameter"><code><span class="type">void</span></code></em>);</pre>
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