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<h1>dox/Common/vtkMath.h</h1><a href="a02073.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*=========================================================================</span>
<a name="l00002"></a>00002 <span class="comment"></span>
<a name="l00003"></a>00003 <span class="comment"> Program: Visualization Toolkit</span>
<a name="l00004"></a>00004 <span class="comment"> Module: $RCSfile: vtkMath.h,v $</span>
<a name="l00005"></a>00005 <span class="comment"></span>
<a name="l00006"></a>00006 <span class="comment"> Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen</span>
<a name="l00007"></a>00007 <span class="comment"> All rights reserved.</span>
<a name="l00008"></a>00008 <span class="comment"> See Copyright.txt or http://www.kitware.com/Copyright.htm for details.</span>
<a name="l00009"></a>00009 <span class="comment"></span>
<a name="l00010"></a>00010 <span class="comment"> This software is distributed WITHOUT ANY WARRANTY; without even</span>
<a name="l00011"></a>00011 <span class="comment"> the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR</span>
<a name="l00012"></a>00012 <span class="comment"> PURPOSE. See the above copyright notice for more information.</span>
<a name="l00013"></a>00013 <span class="comment"></span>
<a name="l00014"></a>00014 <span class="comment">=========================================================================</span>
<a name="l00015"></a>00015 <span class="comment"> Copyright 2008 Sandia Corporation.</span>
<a name="l00016"></a>00016 <span class="comment"> Under the terms of Contract DE-AC04-94AL85000, there is a non-exclusive</span>
<a name="l00017"></a>00017 <span class="comment"> license for use of this work by or on behalf of the</span>
<a name="l00018"></a>00018 <span class="comment"> U.S. Government. Redistribution and use in source and binary forms, with</span>
<a name="l00019"></a>00019 <span class="comment"> or without modification, are permitted provided that this Notice and any</span>
<a name="l00020"></a>00020 <span class="comment"> statement of authorship are reproduced on all copies.</span>
<a name="l00021"></a>00021 <span class="comment"></span>
<a name="l00022"></a>00022 <span class="comment"> Contact: pppebay@sandia.gov,dcthomp@sandia.gov</span>
<a name="l00023"></a>00023 <span class="comment"></span>
<a name="l00024"></a>00024 <span class="comment">=========================================================================*/</span>
<a name="l00038"></a>00038 <span class="preprocessor">#ifndef __vtkMath_h</span>
<a name="l00039"></a>00039 <span class="preprocessor"></span><span class="preprocessor">#define __vtkMath_h</span>
<a name="l00040"></a>00040 <span class="preprocessor"></span>
<a name="l00041"></a>00041 <span class="preprocessor">#include "<a class="code" href="a02079.html">vtkObject.h</a>"</span>
<a name="l00042"></a>00042 <span class="preprocessor">#include <assert.h></span> <span class="comment">// assert() in inline implementations.</span>
<a name="l00043"></a>00043
<a name="l00044"></a>00044 <span class="preprocessor">#ifndef DBL_EPSILON</span>
<a name="l00045"></a><a class="code" href="a02073.html#83e0fc544c183914643f0aa137d1ea74">00045</a> <span class="preprocessor"></span><span class="preprocessor"># define VTK_DBL_EPSILON 2.2204460492503131e-16</span>
<a name="l00046"></a>00046 <span class="preprocessor"></span><span class="preprocessor">#else // DBL_EPSILON</span>
<a name="l00047"></a>00047 <span class="preprocessor"></span><span class="preprocessor"># define VTK_DBL_EPSILON DBL_EPSILON</span>
<a name="l00048"></a>00048 <span class="preprocessor"></span><span class="preprocessor">#endif // DBL_EPSILON</span>
<a name="l00049"></a>00049 <span class="preprocessor"></span>
<a name="l00050"></a>00050 <span class="keyword">class </span><a class="code" href="a00356.html" title="abstract superclass for arrays of numeric data">vtkDataArray</a>;
<a name="l00051"></a>00051 <span class="keyword">class </span><a class="code" href="a01250.html" title="represent and manipulate 3D points">vtkPoints</a>;
<a name="l00052"></a>00052
<a name="l00053"></a><a class="code" href="a00996.html">00053</a> <span class="keyword">class </span><a class="code" href="a02170.html#873ca0b83d0838a1df577536068a1730">VTK_COMMON_EXPORT</a> <a class="code" href="a00996.html" title="performs common math operations">vtkMath</a> : <span class="keyword">public</span> <a class="code" href="a01084.html" title="abstract base class for most VTK objects">vtkObject</a>
<a name="l00054"></a>00054 {
<a name="l00055"></a>00055 <span class="keyword">public</span>:
<a name="l00056"></a>00056 <span class="keyword">static</span> <a class="code" href="a00996.html" title="performs common math operations">vtkMath</a> *<a class="code" href="a01084.html#4d5b227267c076d6f9e38483370b6612">New</a>();
<a name="l00057"></a><a class="code" href="a00996.html#ad2d3c7b60b1ce91d33fbcbdc09143f6">00057</a> vtkTypeRevisionMacro(<a class="code" href="a00996.html" title="performs common math operations">vtkMath</a>,<a class="code" href="a01084.html" title="abstract base class for most VTK objects">vtkObject</a>);
<a name="l00058"></a>00058 <span class="keywordtype">void</span> <a class="code" href="a01084.html#bf3dbb4154289b56a12483eee3866263">PrintSelf</a>(ostream& os, <a class="code" href="a00869.html" title="a simple class to control print indentation">vtkIndent</a> indent);
<a name="l00059"></a>00059
<a name="l00061"></a><a class="code" href="a00996.html#d234d00c2ae52afae90452db174bec58">00061</a> <span class="keyword">static</span> <span class="keywordtype">float</span> Pi() { <span class="keywordflow">return</span> 3.14159265358979f; };
<a name="l00062"></a>00062
<a name="l00064"></a>00064
<a name="l00065"></a><a class="code" href="a00996.html#c21d956b4e1d6779580d7eea88e84475">00065</a> <span class="keyword">static</span> <span class="keywordtype">double</span> DoubleTwoPi() { <span class="keywordflow">return</span> 6.283185307179586; };
<a name="l00066"></a><a class="code" href="a00996.html#7fba7457e8f8e97e6b18d207747d2c26">00066</a> <span class="keyword">static</span> <span class="keywordtype">double</span> DoublePi() { <span class="keywordflow">return</span> 3.1415926535897932384626; };
<a name="l00068"></a>00068
<a name="l00070"></a>00070
<a name="l00071"></a>00071 <span class="keyword">static</span> <span class="keywordtype">float</span> RadiansFromDegrees( <span class="keywordtype">float</span> );
<a name="l00072"></a>00072 <span class="keyword">static</span> <span class="keywordtype">double</span> RadiansFromDegrees( <span class="keywordtype">double</span> );
<a name="l00074"></a>00074
<a name="l00076"></a>00076
<a name="l00077"></a>00077 <span class="keyword">static</span> <span class="keywordtype">float</span> DegreesFromRadians( <span class="keywordtype">float</span> );
<a name="l00078"></a>00078 <span class="keyword">static</span> <span class="keywordtype">double</span> DegreesFromRadians( <span class="keywordtype">double</span> );
<a name="l00080"></a>00080
<a name="l00082"></a>00082
<a name="l00083"></a>00083 VTK_LEGACY(<span class="keyword">static</span> <span class="keywordtype">float</span> DegreesToRadians());
<a name="l00084"></a>00084 VTK_LEGACY(<span class="keyword">static</span> <span class="keywordtype">double</span> DoubleDegreesToRadians());
<a name="l00086"></a>00086
<a name="l00088"></a>00088
<a name="l00089"></a>00089 VTK_LEGACY(<span class="keyword">static</span> <span class="keywordtype">float</span> RadiansToDegrees());
<a name="l00090"></a>00090 VTK_LEGACY(<span class="keyword">static</span> <span class="keywordtype">double</span> DoubleRadiansToDegrees());
<a name="l00092"></a>00092
<a name="l00094"></a>00094
<a name="l00095"></a><a class="code" href="a00996.html#0c5b0cdf8d3a4d7b3b266d7070d984ad">00095</a> <span class="keyword">static</span> <span class="keywordtype">int</span> Round(<span class="keywordtype">float</span> f) {
<a name="l00096"></a>00096 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>( f + ( f >= 0 ? 0.5 : -0.5 ) ); }
<a name="l00097"></a><a class="code" href="a00996.html#b0998487cb9ab02e6588264c2758e8fa">00097</a> <span class="keyword">static</span> <span class="keywordtype">int</span> Round(<span class="keywordtype">double</span> f) {
<a name="l00098"></a>00098 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>( f + ( f >= 0 ? 0.5 : -0.5 ) ); }
<a name="l00100"></a>00100
<a name="l00101"></a>00101 <span class="keyword">static</span> <span class="keywordtype">int</span> Floor(<span class="keywordtype">double</span> x);
<a name="l00102"></a>00102
<a name="l00105"></a>00105 <span class="keyword">static</span> vtkTypeInt64 Factorial( <span class="keywordtype">int</span> N );
<a name="l00106"></a>00106
<a name="l00110"></a>00110 <span class="keyword">static</span> vtkTypeInt64 Binomial( <span class="keywordtype">int</span> m, <span class="keywordtype">int</span> n );
<a name="l00111"></a>00111
<a name="l00118"></a>00118 <span class="keyword">static</span> <span class="keywordtype">int</span>* BeginCombination( <span class="keywordtype">int</span> m, <span class="keywordtype">int</span> n );
<a name="l00119"></a>00119
<a name="l00126"></a>00126 <span class="keyword">static</span> <span class="keywordtype">int</span> NextCombination( <span class="keywordtype">int</span> m, <span class="keywordtype">int</span> n, <span class="keywordtype">int</span>* combination );
<a name="l00127"></a>00127
<a name="l00129"></a>00129 <span class="keyword">static</span> <span class="keywordtype">void</span> FreeCombination( <span class="keywordtype">int</span>* combination);
<a name="l00130"></a>00130
<a name="l00136"></a>00136 <span class="keyword">static</span> <span class="keywordtype">void</span> RandomSeed(<span class="keywordtype">long</span> s);
<a name="l00137"></a>00137
<a name="l00139"></a>00139 <span class="keyword">static</span> <span class="keywordtype">long</span> GetSeed();
<a name="l00140"></a>00140
<a name="l00144"></a>00144 <span class="keyword">static</span> <span class="keywordtype">double</span> Random();
<a name="l00145"></a>00145
<a name="l00148"></a>00148 <span class="keyword">static</span> <span class="keywordtype">double</span> Random( <span class="keywordtype">double</span> min, <span class="keywordtype">double</span> <a class="code" href="a02864.html#ffe776513b24d84b39af8ab0930fef7f">max</a> );
<a name="l00149"></a>00149
<a name="l00152"></a>00152 <span class="keyword">static</span> <span class="keywordtype">double</span> Gaussian();
<a name="l00153"></a>00153
<a name="l00156"></a>00156 <span class="keyword">static</span> <span class="keywordtype">double</span> Gaussian( <span class="keywordtype">double</span> mean, <span class="keywordtype">double</span> std );
<a name="l00157"></a>00157
<a name="l00159"></a>00159
<a name="l00160"></a><a class="code" href="a00996.html#120a1e5381ff5374ec1b9bbc4a92f3c5">00160</a> <span class="keyword">static</span> <span class="keywordtype">float</span> Dot(<span class="keyword">const</span> <span class="keywordtype">float</span> x[3], <span class="keyword">const</span> <span class="keywordtype">float</span> y[3]) {
<a name="l00161"></a>00161 <span class="keywordflow">return</span> ( x[0] * y[0] + x[1] * y[1] + x[2] * y[2] );};
<a name="l00163"></a>00163
<a name="l00165"></a>00165
<a name="l00166"></a><a class="code" href="a00996.html#d9405d4578a48f239efb91ead99c5ba4">00166</a> <span class="keyword">static</span> <span class="keywordtype">double</span> Dot(<span class="keyword">const</span> <span class="keywordtype">double</span> x[3], <span class="keyword">const</span> <span class="keywordtype">double</span> y[3]) {
<a name="l00167"></a>00167 <span class="keywordflow">return</span> ( x[0] * y[0] + x[1] * y[1] + x[2] * y[2] );};
<a name="l00169"></a>00169
<a name="l00171"></a>00171
<a name="l00172"></a><a class="code" href="a00996.html#33a8e8e2f870096e8b995500e23d41f2">00172</a> <span class="keyword">static</span> <span class="keywordtype">void</span> Outer(<span class="keyword">const</span> <span class="keywordtype">float</span> x[3], <span class="keyword">const</span> <span class="keywordtype">float</span> y[3], <span class="keywordtype">float</span> A[3][3]) {
<a name="l00173"></a>00173 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i < 3; i++)
<a name="l00174"></a>00174 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j < 3; j++)
<a name="l00175"></a>00175 A[i][j] = x[i] * y[j];
<a name="l00176"></a>00176 }
<a name="l00177"></a>00177 <span class="comment">// Description:</span>
<a name="l00178"></a>00178 <span class="comment">// Outer product of two 3-vectors (double-precision version).</span>
<a name="l00179"></a><a class="code" href="a00996.html#d207ad61d99868c0e0790cbfb7e8f02e">00179</a> <span class="keyword">static</span> <span class="keywordtype">void</span> Outer(<span class="keyword">const</span> <span class="keywordtype">double</span> x[3], <span class="keyword">const</span> <span class="keywordtype">double</span> y[3], <span class="keywordtype">double</span> A[3][3]) {
<a name="l00180"></a>00180 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i < 3; i++)
<a name="l00181"></a>00181 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j < 3; j++)
<a name="l00182"></a>00182 A[i][j] = x[i] * y[j];
<a name="l00183"></a>00183 }
<a name="l00185"></a>00185
<a name="l00187"></a>00187 <span class="keyword">static</span> <span class="keywordtype">void</span> Cross(<span class="keyword">const</span> <span class="keywordtype">float</span> x[3], <span class="keyword">const</span> <span class="keywordtype">float</span> y[3], <span class="keywordtype">float</span> z[3]);
<a name="l00188"></a>00188
<a name="l00191"></a>00191 <span class="keyword">static</span> <span class="keywordtype">void</span> Cross(<span class="keyword">const</span> <span class="keywordtype">double</span> x[3], <span class="keyword">const</span> <span class="keywordtype">double</span> y[3], <span class="keywordtype">double</span> z[3]);
<a name="l00192"></a>00192
<a name="l00194"></a>00194
<a name="l00195"></a>00195 <span class="keyword">static</span> <span class="keywordtype">float</span> Norm(<span class="keyword">const</span> <span class="keywordtype">float</span>* x, <span class="keywordtype">int</span> n);
<a name="l00196"></a>00196 <span class="keyword">static</span> <span class="keywordtype">double</span> Norm(<span class="keyword">const</span> <span class="keywordtype">double</span>* x, <span class="keywordtype">int</span> n);
<a name="l00198"></a>00198
<a name="l00200"></a>00200
<a name="l00201"></a><a class="code" href="a00996.html#467100c38669fe110ed2779982bce4f5">00201</a> <span class="keyword">static</span> <span class="keywordtype">float</span> Norm(<span class="keyword">const</span> <span class="keywordtype">float</span> x[3]) {
<a name="l00202"></a>00202 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span> (sqrt( x[0] * x[0] + x[1] * x[1] + x[2] * x[2] ) );};
<a name="l00204"></a>00204
<a name="l00206"></a>00206
<a name="l00207"></a><a class="code" href="a00996.html#888bc31249f991a8170f2fa994bbb4ea">00207</a> <span class="keyword">static</span> <span class="keywordtype">double</span> Norm(<span class="keyword">const</span> <span class="keywordtype">double</span> x[3]) {
<a name="l00208"></a>00208 <span class="keywordflow">return</span> sqrt( x[0] * x[0] + x[1] * x[1] + x[2] * x[2] );};
<a name="l00210"></a>00210
<a name="l00212"></a>00212 <span class="keyword">static</span> <span class="keywordtype">float</span> Normalize(<span class="keywordtype">float</span> x[3]);
<a name="l00213"></a>00213
<a name="l00216"></a>00216 <span class="keyword">static</span> <span class="keywordtype">double</span> Normalize(<span class="keywordtype">double</span> x[3]);
<a name="l00217"></a>00217
<a name="l00219"></a>00219
<a name="l00224"></a>00224 <span class="keyword">static</span> <span class="keywordtype">void</span> Perpendiculars(<span class="keyword">const</span> <span class="keywordtype">double</span> x[3], <span class="keywordtype">double</span> y[3], <span class="keywordtype">double</span> z[3],
<a name="l00225"></a>00225 <span class="keywordtype">double</span> theta);
<a name="l00226"></a>00226 <span class="keyword">static</span> <span class="keywordtype">void</span> Perpendiculars(<span class="keyword">const</span> <span class="keywordtype">float</span> x[3], <span class="keywordtype">float</span> y[3], <span class="keywordtype">float</span> z[3],
<a name="l00227"></a>00227 <span class="keywordtype">double</span> theta);
<a name="l00229"></a>00229
<a name="l00231"></a>00231 <span class="keyword">static</span> <span class="keywordtype">float</span> Distance2BetweenPoints(<span class="keyword">const</span> <span class="keywordtype">float</span> x[3], <span class="keyword">const</span> <span class="keywordtype">float</span> y[3]);
<a name="l00232"></a>00232
<a name="l00235"></a>00235 <span class="keyword">static</span> <span class="keywordtype">double</span> Distance2BetweenPoints(<span class="keyword">const</span> <span class="keywordtype">double</span> x[3], <span class="keyword">const</span> <span class="keywordtype">double</span> y[3]);
<a name="l00236"></a>00236
<a name="l00238"></a>00238
<a name="l00239"></a><a class="code" href="a00996.html#55217249f9716b7aed23e639a306a521">00239</a> <span class="keyword">static</span> <span class="keywordtype">float</span> Dot2D(<span class="keyword">const</span> <span class="keywordtype">float</span> x[3], <span class="keyword">const</span> <span class="keywordtype">float</span> y[3]) {
<a name="l00240"></a>00240 <span class="keywordflow">return</span> ( x[0] * y[0] + x[1] * y[1] );};
<a name="l00242"></a>00242
<a name="l00244"></a>00244
<a name="l00246"></a><a class="code" href="a00996.html#bf6245ea75d9aeb61eb869b827c9dfb9">00246</a> <span class="keyword">static</span> <span class="keywordtype">double</span> Dot2D(<span class="keyword">const</span> <span class="keywordtype">double</span> x[3], <span class="keyword">const</span> <span class="keywordtype">double</span> y[3]) {
<a name="l00247"></a>00247 <span class="keywordflow">return</span> ( x[0] * y[0] + x[1] * y[1] );};
<a name="l00249"></a>00249
<a name="l00251"></a>00251
<a name="l00252"></a><a class="code" href="a00996.html#d442b3bcea0577be0def1a98bb2472e3">00252</a> <span class="keyword">static</span> <span class="keywordtype">void</span> Outer2D(<span class="keyword">const</span> <span class="keywordtype">float</span> x[3], <span class="keyword">const</span> <span class="keywordtype">float</span> y[3], <span class="keywordtype">float</span> A[3][3])
<a name="l00253"></a>00253 {
<a name="l00254"></a>00254 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i < 2; i++)
<a name="l00255"></a>00255 {
<a name="l00256"></a>00256 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j < 2; j++)
<a name="l00257"></a>00257 {
<a name="l00258"></a>00258 A[i][j] = x[i] * y[j];
<a name="l00259"></a>00259 }
<a name="l00260"></a>00260 }
<a name="l00261"></a>00261 }
<a name="l00262"></a>00262 <span class="comment">// Description:</span>
<a name="l00263"></a>00263 <span class="comment">// Outer product of two 2-vectors (float version). z-comp is ignored</span>
<a name="l00264"></a><a class="code" href="a00996.html#216babab99cd83e5eea0d9c7aed58bb2">00264</a> <span class="keyword">static</span> <span class="keywordtype">void</span> Outer2D(<span class="keyword">const</span> <span class="keywordtype">double</span> x[3], <span class="keyword">const</span> <span class="keywordtype">double</span> y[3], <span class="keywordtype">double</span> A[3][3])
<a name="l00265"></a>00265 {
<a name="l00266"></a>00266 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i < 2; i++)
<a name="l00267"></a>00267 {
<a name="l00268"></a>00268 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j < 2; j++)
<a name="l00269"></a>00269 {
<a name="l00270"></a>00270 A[i][j] = x[i] * y[j];
<a name="l00271"></a>00271 }
<a name="l00272"></a>00272 }
<a name="l00273"></a>00273 }
<a name="l00275"></a>00275
<a name="l00277"></a>00277
<a name="l00278"></a><a class="code" href="a00996.html#1222fa68a653dbef7489667303695154">00278</a> <span class="keyword">static</span> <span class="keywordtype">float</span> Norm2D(<span class="keyword">const</span> <span class="keywordtype">float</span> x[3]) {
<a name="l00279"></a>00279 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span> (sqrt( x[0] * x[0] + x[1] * x[1] ) );};
<a name="l00281"></a>00281
<a name="l00283"></a>00283
<a name="l00285"></a><a class="code" href="a00996.html#23cc6c4a17904e84a7f8043748b6fac4">00285</a> <span class="keyword">static</span> <span class="keywordtype">double</span> Norm2D(<span class="keyword">const</span> <span class="keywordtype">double</span> x[3]) {
<a name="l00286"></a>00286 <span class="keywordflow">return</span> sqrt( x[0] * x[0] + x[1] * x[1] );};
<a name="l00288"></a>00288
<a name="l00291"></a>00291 <span class="keyword">static</span> <span class="keywordtype">float</span> Normalize2D(<span class="keywordtype">float</span> x[3]);
<a name="l00292"></a>00292
<a name="l00295"></a>00295 <span class="keyword">static</span> <span class="keywordtype">double</span> Normalize2D(<span class="keywordtype">double</span> x[3]);
<a name="l00296"></a>00296
<a name="l00298"></a>00298
<a name="l00299"></a><a class="code" href="a00996.html#b040d14bf00607680a62850b05f5faac">00299</a> <span class="keyword">static</span> <span class="keywordtype">float</span> Determinant2x2(<span class="keyword">const</span> <span class="keywordtype">float</span> c1[2], <span class="keyword">const</span> <span class="keywordtype">float</span> c2[2]) {
<a name="l00300"></a>00300 <span class="keywordflow">return</span> (c1[0] * c2[1] - c2[0] * c1[1] );};
<a name="l00302"></a>00302
<a name="l00304"></a>00304
<a name="l00305"></a><a class="code" href="a00996.html#ab048d50c28584033221d2fe3e2e874d">00305</a> <span class="keyword">static</span> <span class="keywordtype">double</span> Determinant2x2(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b, <span class="keywordtype">double</span> c, <span class="keywordtype">double</span> d) {
<a name="l00306"></a>00306 <span class="keywordflow">return</span> (a * d - b * c);};
<a name="l00307"></a><a class="code" href="a00996.html#44984bde62de3ebfd7531259e4ad9765">00307</a> <span class="keyword">static</span> <span class="keywordtype">double</span> Determinant2x2(<span class="keyword">const</span> <span class="keywordtype">double</span> c1[2], <span class="keyword">const</span> <span class="keywordtype">double</span> c2[2]) {
<a name="l00308"></a>00308 <span class="keywordflow">return</span> (c1[0] * c2[1] - c2[0] * c1[1] );};
<a name="l00310"></a>00310
<a name="l00312"></a>00312
<a name="l00314"></a>00314 <span class="keyword">static</span> <span class="keywordtype">void</span> LUFactor3x3(<span class="keywordtype">float</span> A[3][3], <span class="keywordtype">int</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e519c5019582479480124c44722a451f">index</a>[3]);
<a name="l00315"></a>00315 <span class="keyword">static</span> <span class="keywordtype">void</span> LUFactor3x3(<span class="keywordtype">double</span> A[3][3], <span class="keywordtype">int</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e519c5019582479480124c44722a451f">index</a>[3]);
<a name="l00317"></a>00317
<a name="l00319"></a>00319
<a name="l00321"></a>00321 <span class="keyword">static</span> <span class="keywordtype">void</span> LUSolve3x3(<span class="keyword">const</span> <span class="keywordtype">float</span> A[3][3], <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e519c5019582479480124c44722a451f">index</a>[3],
<a name="l00322"></a>00322 <span class="keywordtype">float</span> x[3]);
<a name="l00323"></a>00323 <span class="keyword">static</span> <span class="keywordtype">void</span> LUSolve3x3(<span class="keyword">const</span> <span class="keywordtype">double</span> A[3][3], <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e519c5019582479480124c44722a451f">index</a>[3],
<a name="l00324"></a>00324 <span class="keywordtype">double</span> x[3]);
<a name="l00326"></a>00326
<a name="l00328"></a>00328
<a name="l00330"></a>00330 <span class="keyword">static</span> <span class="keywordtype">void</span> LinearSolve3x3(<span class="keyword">const</span> <span class="keywordtype">float</span> A[3][3], <span class="keyword">const</span> <span class="keywordtype">float</span> x[3],
<a name="l00331"></a>00331 <span class="keywordtype">float</span> y[3]);
<a name="l00332"></a>00332 <span class="keyword">static</span> <span class="keywordtype">void</span> LinearSolve3x3(<span class="keyword">const</span> <span class="keywordtype">double</span> A[3][3], <span class="keyword">const</span> <span class="keywordtype">double</span> x[3],
<a name="l00333"></a>00333 <span class="keywordtype">double</span> y[3]);
<a name="l00335"></a>00335
<a name="l00337"></a>00337
<a name="l00338"></a>00338 <span class="keyword">static</span> <span class="keywordtype">void</span> Multiply3x3(<span class="keyword">const</span> <span class="keywordtype">float</span> A[3][3], <span class="keyword">const</span> <span class="keywordtype">float</span> in[3],
<a name="l00339"></a>00339 <span class="keywordtype">float</span> out[3]);
<a name="l00340"></a>00340 <span class="keyword">static</span> <span class="keywordtype">void</span> Multiply3x3(<span class="keyword">const</span> <span class="keywordtype">double</span> A[3][3], <span class="keyword">const</span> <span class="keywordtype">double</span> in[3],
<a name="l00341"></a>00341 <span class="keywordtype">double</span> out[3]);
<a name="l00343"></a>00343
<a name="l00345"></a>00345
<a name="l00346"></a>00346 <span class="keyword">static</span> <span class="keywordtype">void</span> Multiply3x3(<span class="keyword">const</span> <span class="keywordtype">float</span> A[3][3], <span class="keyword">const</span> <span class="keywordtype">float</span> B[3][3],
<a name="l00347"></a>00347 <span class="keywordtype">float</span> C[3][3]);
<a name="l00348"></a>00348 <span class="keyword">static</span> <span class="keywordtype">void</span> Multiply3x3(<span class="keyword">const</span> <span class="keywordtype">double</span> A[3][3], <span class="keyword">const</span> <span class="keywordtype">double</span> B[3][3],
<a name="l00349"></a>00349 <span class="keywordtype">double</span> C[3][3]);
<a name="l00351"></a>00351
<a name="l00353"></a>00353
<a name="l00355"></a>00355 <span class="keyword">static</span> <span class="keywordtype">void</span> MultiplyMatrix(<span class="keyword">const</span> <span class="keywordtype">double</span> **A, <span class="keyword">const</span> <span class="keywordtype">double</span> **B,
<a name="l00356"></a>00356 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> rowA, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> colA,
<a name="l00357"></a>00357 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> rowB, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> colB,
<a name="l00358"></a>00358 <span class="keywordtype">double</span> **C);
<a name="l00360"></a>00360
<a name="l00362"></a>00362
<a name="l00363"></a>00363 <span class="keyword">static</span> <span class="keywordtype">void</span> Transpose3x3(<span class="keyword">const</span> <span class="keywordtype">float</span> A[3][3], <span class="keywordtype">float</span> AT[3][3]);
<a name="l00364"></a>00364 <span class="keyword">static</span> <span class="keywordtype">void</span> Transpose3x3(<span class="keyword">const</span> <span class="keywordtype">double</span> A[3][3], <span class="keywordtype">double</span> AT[3][3]);
<a name="l00366"></a>00366
<a name="l00368"></a>00368
<a name="l00369"></a>00369 <span class="keyword">static</span> <span class="keywordtype">void</span> Invert3x3(<span class="keyword">const</span> <span class="keywordtype">float</span> A[3][3], <span class="keywordtype">float</span> AI[3][3]);
<a name="l00370"></a>00370 <span class="keyword">static</span> <span class="keywordtype">void</span> Invert3x3(<span class="keyword">const</span> <span class="keywordtype">double</span> A[3][3], <span class="keywordtype">double</span> AI[3][3]);
<a name="l00372"></a>00372
<a name="l00374"></a>00374
<a name="l00375"></a>00375 <span class="keyword">static</span> <span class="keywordtype">void</span> Identity3x3(<span class="keywordtype">float</span> A[3][3]);
<a name="l00376"></a>00376 <span class="keyword">static</span> <span class="keywordtype">void</span> Identity3x3(<span class="keywordtype">double</span> A[3][3]);
<a name="l00378"></a>00378
<a name="l00380"></a>00380
<a name="l00381"></a>00381 <span class="keyword">static</span> <span class="keywordtype">double</span> Determinant3x3(<span class="keywordtype">float</span> A[3][3]);
<a name="l00382"></a>00382 <span class="keyword">static</span> <span class="keywordtype">double</span> Determinant3x3(<span class="keywordtype">double</span> A[3][3]);
<a name="l00384"></a>00384
<a name="l00386"></a>00386
<a name="l00387"></a>00387 <span class="keyword">static</span> <span class="keywordtype">float</span> Determinant3x3(<span class="keyword">const</span> <span class="keywordtype">float</span> c1[3],
<a name="l00388"></a>00388 <span class="keyword">const</span> <span class="keywordtype">float</span> c2[3],
<a name="l00389"></a>00389 <span class="keyword">const</span> <span class="keywordtype">float</span> c3[3]);
<a name="l00391"></a>00391
<a name="l00393"></a>00393
<a name="l00394"></a>00394 <span class="keyword">static</span> <span class="keywordtype">double</span> Determinant3x3(<span class="keyword">const</span> <span class="keywordtype">double</span> c1[3],
<a name="l00395"></a>00395 <span class="keyword">const</span> <span class="keywordtype">double</span> c2[3],
<a name="l00396"></a>00396 <span class="keyword">const</span> <span class="keywordtype">double</span> c3[3]);
<a name="l00398"></a>00398
<a name="l00400"></a>00400
<a name="l00402"></a>00402 <span class="keyword">static</span> <span class="keywordtype">double</span> Determinant3x3(<span class="keywordtype">double</span> a1, <span class="keywordtype">double</span> a2, <span class="keywordtype">double</span> a3,
<a name="l00403"></a>00403 <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> b2, <span class="keywordtype">double</span> b3,
<a name="l00404"></a>00404 <span class="keywordtype">double</span> c1, <span class="keywordtype">double</span> c2, <span class="keywordtype">double</span> c3);
<a name="l00406"></a>00406
<a name="l00408"></a>00408
<a name="l00410"></a>00410 <span class="keyword">static</span> <span class="keywordtype">void</span> QuaternionToMatrix3x3(<span class="keyword">const</span> <span class="keywordtype">float</span> quat[4], <span class="keywordtype">float</span> A[3][3]);
<a name="l00411"></a>00411 <span class="keyword">static</span> <span class="keywordtype">void</span> QuaternionToMatrix3x3(<span class="keyword">const</span> <span class="keywordtype">double</span> quat[4], <span class="keywordtype">double</span> A[3][3]);
<a name="l00413"></a>00413
<a name="l00415"></a>00415
<a name="l00418"></a>00418 <span class="keyword">static</span> <span class="keywordtype">void</span> Matrix3x3ToQuaternion(<span class="keyword">const</span> <span class="keywordtype">float</span> A[3][3], <span class="keywordtype">float</span> quat[4]);
<a name="l00419"></a>00419 <span class="keyword">static</span> <span class="keywordtype">void</span> Matrix3x3ToQuaternion(<span class="keyword">const</span> <span class="keywordtype">double</span> A[3][3], <span class="keywordtype">double</span> quat[4]);
<a name="l00421"></a>00421
<a name="l00423"></a>00423
<a name="l00426"></a>00426 <span class="keyword">static</span> <span class="keywordtype">void</span> Orthogonalize3x3(<span class="keyword">const</span> <span class="keywordtype">float</span> A[3][3], <span class="keywordtype">float</span> B[3][3]);
<a name="l00427"></a>00427 <span class="keyword">static</span> <span class="keywordtype">void</span> Orthogonalize3x3(<span class="keyword">const</span> <span class="keywordtype">double</span> A[3][3], <span class="keywordtype">double</span> B[3][3]);
<a name="l00429"></a>00429
<a name="l00431"></a>00431
<a name="l00435"></a>00435 <span class="keyword">static</span> <span class="keywordtype">void</span> Diagonalize3x3(<span class="keyword">const</span> <span class="keywordtype">float</span> A[3][3], <span class="keywordtype">float</span> w[3], <span class="keywordtype">float</span> V[3][3]);
<a name="l00436"></a>00436 <span class="keyword">static</span> <span class="keywordtype">void</span> Diagonalize3x3(<span class="keyword">const</span> <span class="keywordtype">double</span> A[3][3],<span class="keywordtype">double</span> w[3],<span class="keywordtype">double</span> V[3][3]);
<a name="l00438"></a>00438
<a name="l00440"></a>00440
<a name="l00447"></a>00447 <span class="keyword">static</span> <span class="keywordtype">void</span> SingularValueDecomposition3x3(<span class="keyword">const</span> <span class="keywordtype">float</span> A[3][3],
<a name="l00448"></a>00448 <span class="keywordtype">float</span> U[3][3], <span class="keywordtype">float</span> w[3],
<a name="l00449"></a>00449 <span class="keywordtype">float</span> VT[3][3]);
<a name="l00450"></a>00450 <span class="keyword">static</span> <span class="keywordtype">void</span> SingularValueDecomposition3x3(<span class="keyword">const</span> <span class="keywordtype">double</span> A[3][3],
<a name="l00451"></a>00451 <span class="keywordtype">double</span> U[3][3], <span class="keywordtype">double</span> w[3],
<a name="l00452"></a>00452 <span class="keywordtype">double</span> VT[3][3]);
<a name="l00454"></a>00454
<a name="l00459"></a>00459 <span class="keyword">static</span> <span class="keywordtype">int</span> SolveLinearSystem(<span class="keywordtype">double</span> **A, <span class="keywordtype">double</span> *x, <span class="keywordtype">int</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e3d5e7c015dff08d8daf72a0102e1444">size</a>);
<a name="l00460"></a>00460
<a name="l00464"></a>00464 <span class="keyword">static</span> <span class="keywordtype">int</span> InvertMatrix(<span class="keywordtype">double</span> **A, <span class="keywordtype">double</span> **AI, <span class="keywordtype">int</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e3d5e7c015dff08d8daf72a0102e1444">size</a>);
<a name="l00465"></a>00465
<a name="l00467"></a>00467
<a name="l00469"></a>00469 <span class="keyword">static</span> <span class="keywordtype">int</span> InvertMatrix(<span class="keywordtype">double</span> **A, <span class="keywordtype">double</span> **AI, <span class="keywordtype">int</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e3d5e7c015dff08d8daf72a0102e1444">size</a>,
<a name="l00470"></a>00470 <span class="keywordtype">int</span> *tmp1Size, <span class="keywordtype">double</span> *tmp2Size);
<a name="l00472"></a>00472
<a name="l00478"></a>00478 <span class="keyword">static</span> <span class="keywordtype">int</span> LUFactorLinearSystem(<span class="keywordtype">double</span> **A, <span class="keywordtype">int</span> *<a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e519c5019582479480124c44722a451f">index</a>, <span class="keywordtype">int</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e3d5e7c015dff08d8daf72a0102e1444">size</a>);
<a name="l00479"></a>00479
<a name="l00481"></a>00481
<a name="l00483"></a>00483 <span class="keyword">static</span> <span class="keywordtype">int</span> LUFactorLinearSystem(<span class="keywordtype">double</span> **A, <span class="keywordtype">int</span> *<a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e519c5019582479480124c44722a451f">index</a>, <span class="keywordtype">int</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e3d5e7c015dff08d8daf72a0102e1444">size</a>,
<a name="l00484"></a>00484 <span class="keywordtype">double</span> *tmpSize);
<a name="l00486"></a>00486
<a name="l00488"></a>00488
<a name="l00494"></a>00494 <span class="keyword">static</span> <span class="keywordtype">void</span> LUSolveLinearSystem(<span class="keywordtype">double</span> **A, <span class="keywordtype">int</span> *<a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e519c5019582479480124c44722a451f">index</a>,
<a name="l00495"></a>00495 <span class="keywordtype">double</span> *x, <span class="keywordtype">int</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e3d5e7c015dff08d8daf72a0102e1444">size</a>);
<a name="l00497"></a>00497
<a name="l00505"></a>00505 <span class="keyword">static</span> <span class="keywordtype">double</span> EstimateMatrixCondition(<span class="keywordtype">double</span> **A, <span class="keywordtype">int</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210e3d5e7c015dff08d8daf72a0102e1444">size</a>);
<a name="l00506"></a>00506
<a name="l00508"></a>00508
<a name="l00512"></a>00512 <span class="keyword">static</span> <span class="keywordtype">int</span> Jacobi(<span class="keywordtype">float</span> **a, <span class="keywordtype">float</span> *w, <span class="keywordtype">float</span> **v);
<a name="l00513"></a>00513 <span class="keyword">static</span> <span class="keywordtype">int</span> Jacobi(<span class="keywordtype">double</span> **a, <span class="keywordtype">double</span> *w, <span class="keywordtype">double</span> **v);
<a name="l00515"></a>00515
<a name="l00517"></a>00517
<a name="l00522"></a>00522 <span class="keyword">static</span> <span class="keywordtype">int</span> JacobiN(<span class="keywordtype">float</span> **a, <span class="keywordtype">int</span> n, <span class="keywordtype">float</span> *w, <span class="keywordtype">float</span> **v);
<a name="l00523"></a>00523 <span class="keyword">static</span> <span class="keywordtype">int</span> JacobiN(<span class="keywordtype">double</span> **a, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *w, <span class="keywordtype">double</span> **v);
<a name="l00525"></a>00525
<a name="l00532"></a>00532 <span class="keyword">static</span> <span class="keywordtype">double</span>* SolveCubic(<span class="keywordtype">double</span> c0, <span class="keywordtype">double</span> c1, <span class="keywordtype">double</span> c2, <span class="keywordtype">double</span> c3);
<a name="l00533"></a>00533
<a name="l00540"></a>00540 <span class="keyword">static</span> <span class="keywordtype">double</span>* SolveQuadratic(<span class="keywordtype">double</span> c0, <span class="keywordtype">double</span> c1, <span class="keywordtype">double</span> c2);
<a name="l00541"></a>00541
<a name="l00545"></a>00545 <span class="keyword">static</span> <span class="keywordtype">double</span>* SolveLinear(<span class="keywordtype">double</span> c0, <span class="keywordtype">double</span> c1);
<a name="l00546"></a>00546
<a name="l00548"></a>00548
<a name="l00559"></a>00559 <span class="keyword">static</span> <span class="keywordtype">int</span> SolveCubic(<span class="keywordtype">double</span> c0, <span class="keywordtype">double</span> c1, <span class="keywordtype">double</span> c2, <span class="keywordtype">double</span> c3,
<a name="l00560"></a>00560 <span class="keywordtype">double</span> *r1, <span class="keywordtype">double</span> *r2, <span class="keywordtype">double</span> *r3, <span class="keywordtype">int</span> *num_roots);
<a name="l00562"></a>00562
<a name="l00564"></a>00564
<a name="l00568"></a>00568 <span class="keyword">static</span> <span class="keywordtype">int</span> SolveQuadratic(<span class="keywordtype">double</span> c0, <span class="keywordtype">double</span> c1, <span class="keywordtype">double</span> c2,
<a name="l00569"></a>00569 <span class="keywordtype">double</span> *r1, <span class="keywordtype">double</span> *r2, <span class="keywordtype">int</span> *num_roots);
<a name="l00571"></a>00571
<a name="l00577"></a>00577 <span class="keyword">static</span> <span class="keywordtype">int</span> SolveQuadratic( <span class="keywordtype">double</span>* c, <span class="keywordtype">double</span>* r, <span class="keywordtype">int</span>* m );
<a name="l00578"></a>00578
<a name="l00583"></a>00583 <span class="keyword">static</span> <span class="keywordtype">int</span> SolveLinear(<span class="keywordtype">double</span> c0, <span class="keywordtype">double</span> c1, <span class="keywordtype">double</span> *r1, <span class="keywordtype">int</span> *num_roots);
<a name="l00584"></a>00584
<a name="l00586"></a>00586
<a name="l00596"></a>00596 <span class="keyword">static</span> <span class="keywordtype">int</span> SolveHomogeneousLeastSquares(<span class="keywordtype">int</span> numberOfSamples, <span class="keywordtype">double</span> **xt, <span class="keywordtype">int</span> xOrder,
<a name="l00597"></a>00597 <span class="keywordtype">double</span> **mt);
<a name="l00599"></a>00599
<a name="l00600"></a>00600
<a name="l00602"></a>00602
<a name="l00613"></a>00613 <span class="keyword">static</span> <span class="keywordtype">int</span> SolveLeastSquares(<span class="keywordtype">int</span> numberOfSamples, <span class="keywordtype">double</span> **xt, <span class="keywordtype">int</span> xOrder,
<a name="l00614"></a>00614 <span class="keywordtype">double</span> **yt, <span class="keywordtype">int</span> yOrder, <span class="keywordtype">double</span> **mt, <span class="keywordtype">int</span> checkHomogeneous=1);
<a name="l00616"></a>00616
<a name="l00618"></a>00618
<a name="l00620"></a><a class="code" href="a00996.html#cda272197c6723e3ff6e72822b1e1d79">00620</a> <span class="keyword">static</span> <span class="keywordtype">void</span> RGBToHSV(<span class="keyword">const</span> <span class="keywordtype">float</span> rgb[3], <span class="keywordtype">float</span> hsv[3])
<a name="l00621"></a>00621 { RGBToHSV(rgb[0], rgb[1], rgb[2], hsv, hsv+1, hsv+2); }
<a name="l00622"></a>00622 <span class="keyword">static</span> <span class="keywordtype">void</span> RGBToHSV(<span class="keywordtype">float</span> r, <span class="keywordtype">float</span> g, <span class="keywordtype">float</span> b, <span class="keywordtype">float</span> *h, <span class="keywordtype">float</span> *s, <span class="keywordtype">float</span> *v);
<a name="l00623"></a>00623 <span class="keyword">static</span> <span class="keywordtype">double</span>* RGBToHSV(<span class="keyword">const</span> <span class="keywordtype">double</span> rgb[3]);
<a name="l00624"></a>00624 <span class="keyword">static</span> <span class="keywordtype">double</span>* RGBToHSV(<span class="keywordtype">double</span> r, <span class="keywordtype">double</span> g, <span class="keywordtype">double</span> b);
<a name="l00625"></a><a class="code" href="a00996.html#ad1318dab2335213cba931ae5927fa99">00625</a> <span class="keyword">static</span> <span class="keywordtype">void</span> RGBToHSV(<span class="keyword">const</span> <span class="keywordtype">double</span> rgb[3], <span class="keywordtype">double</span> hsv[3])
<a name="l00626"></a>00626 { RGBToHSV(rgb[0], rgb[1], rgb[2], hsv, hsv+1, hsv+2); }
<a name="l00627"></a>00627 <span class="keyword">static</span> <span class="keywordtype">void</span> RGBToHSV(<span class="keywordtype">double</span> r, <span class="keywordtype">double</span> g, <span class="keywordtype">double</span> b, <span class="keywordtype">double</span> *h, <span class="keywordtype">double</span> *s, <span class="keywordtype">double</span> *v);
<a name="l00629"></a>00629
<a name="l00631"></a>00631
<a name="l00633"></a><a class="code" href="a00996.html#432c7d56d981a3030cb0d6f4a8789b79">00633</a> <span class="keyword">static</span> <span class="keywordtype">void</span> HSVToRGB(<span class="keyword">const</span> <span class="keywordtype">float</span> hsv[3], <span class="keywordtype">float</span> rgb[3])
<a name="l00634"></a>00634 { HSVToRGB(hsv[0], hsv[1], hsv[2], rgb, rgb+1, rgb+2); }
<a name="l00635"></a>00635 <span class="keyword">static</span> <span class="keywordtype">void</span> HSVToRGB(<span class="keywordtype">float</span> h, <span class="keywordtype">float</span> s, <span class="keywordtype">float</span> v, <span class="keywordtype">float</span> *r, <span class="keywordtype">float</span> *g, <span class="keywordtype">float</span> *b);
<a name="l00636"></a>00636 <span class="keyword">static</span> <span class="keywordtype">double</span>* HSVToRGB(<span class="keyword">const</span> <span class="keywordtype">double</span> hsv[3]);
<a name="l00637"></a>00637 <span class="keyword">static</span> <span class="keywordtype">double</span>* HSVToRGB(<span class="keywordtype">double</span> h, <span class="keywordtype">double</span> s, <span class="keywordtype">double</span> v);
<a name="l00638"></a><a class="code" href="a00996.html#4e5c4224946d2e942dc5937ce6f1d9e8">00638</a> <span class="keyword">static</span> <span class="keywordtype">void</span> HSVToRGB(<span class="keyword">const</span> <span class="keywordtype">double</span> hsv[3], <span class="keywordtype">double</span> rgb[3])
<a name="l00639"></a>00639 { HSVToRGB(hsv[0], hsv[1], hsv[2], rgb, rgb+1, rgb+2); }
<a name="l00640"></a>00640 <span class="keyword">static</span> <span class="keywordtype">void</span> HSVToRGB(<span class="keywordtype">double</span> h, <span class="keywordtype">double</span> s, <span class="keywordtype">double</span> v, <span class="keywordtype">double</span> *r, <span class="keywordtype">double</span> *g, <span class="keywordtype">double</span> *b);
<a name="l00642"></a>00642
<a name="l00644"></a>00644
<a name="l00645"></a><a class="code" href="a00996.html#3879c122cefb1c449ce918e5f1b1d911">00645</a> <span class="keyword">static</span> <span class="keywordtype">void</span> LabToXYZ(<span class="keyword">const</span> <span class="keywordtype">double</span> lab[3], <span class="keywordtype">double</span> xyz[3]) {
<a name="l00646"></a>00646 LabToXYZ(lab[0], lab[1], lab[2], xyz+0, xyz+1, xyz+2);
<a name="l00647"></a>00647 }
<a name="l00648"></a>00648 <span class="keyword">static</span> <span class="keywordtype">void</span> LabToXYZ(<span class="keywordtype">double</span> L, <span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b,
<a name="l00649"></a>00649 <span class="keywordtype">double</span> *x, <span class="keywordtype">double</span> *y, <span class="keywordtype">double</span> *z);
<a name="l00650"></a>00650 <span class="keyword">static</span> <span class="keywordtype">double</span> *LabToXYZ(<span class="keyword">const</span> <span class="keywordtype">double</span> lab[3]);
<a name="l00652"></a>00652
<a name="l00654"></a>00654
<a name="l00655"></a><a class="code" href="a00996.html#257737dce7bd7f2b2a1de57fecfe2db3">00655</a> <span class="keyword">static</span> <span class="keywordtype">void</span> XYZToLab(<span class="keyword">const</span> <span class="keywordtype">double</span> xyz[3], <span class="keywordtype">double</span> lab[3]) {
<a name="l00656"></a>00656 XYZToLab(xyz[0], xyz[1], xyz[2], lab+0, lab+1, lab+2);
<a name="l00657"></a>00657 }
<a name="l00658"></a>00658 <span class="keyword">static</span> <span class="keywordtype">void</span> XYZToLab(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y, <span class="keywordtype">double</span> z,
<a name="l00659"></a>00659 <span class="keywordtype">double</span> *L, <span class="keywordtype">double</span> *a, <span class="keywordtype">double</span> *b);
<a name="l00660"></a>00660 <span class="keyword">static</span> <span class="keywordtype">double</span> *XYZToLab(<span class="keyword">const</span> <span class="keywordtype">double</span> xyz[3]);
<a name="l00662"></a>00662
<a name="l00664"></a>00664
<a name="l00665"></a><a class="code" href="a00996.html#9402083868ca56b82156d150fb5bcfb7">00665</a> <span class="keyword">static</span> <span class="keywordtype">void</span> XYZToRGB(<span class="keyword">const</span> <span class="keywordtype">double</span> xyz[3], <span class="keywordtype">double</span> rgb[3]) {
<a name="l00666"></a>00666 XYZToRGB(xyz[0], xyz[1], xyz[2], rgb+0, rgb+1, rgb+2);
<a name="l00667"></a>00667 }
<a name="l00668"></a>00668 <span class="keyword">static</span> <span class="keywordtype">void</span> XYZToRGB(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y, <span class="keywordtype">double</span> z,
<a name="l00669"></a>00669 <span class="keywordtype">double</span> *r, <span class="keywordtype">double</span> *g, <span class="keywordtype">double</span> *b);
<a name="l00670"></a>00670 <span class="keyword">static</span> <span class="keywordtype">double</span> *XYZToRGB(<span class="keyword">const</span> <span class="keywordtype">double</span> xyz[3]);
<a name="l00672"></a>00672
<a name="l00674"></a>00674
<a name="l00675"></a><a class="code" href="a00996.html#5f11627927934251fc6010a76befec10">00675</a> <span class="keyword">static</span> <span class="keywordtype">void</span> RGBToXYZ(<span class="keyword">const</span> <span class="keywordtype">double</span> rgb[3], <span class="keywordtype">double</span> xyz[3]) {
<a name="l00676"></a>00676 RGBToXYZ(rgb[0], rgb[1], rgb[2], xyz+0, xyz+1, xyz+2);
<a name="l00677"></a>00677 }
<a name="l00678"></a>00678 <span class="keyword">static</span> <span class="keywordtype">void</span> RGBToXYZ(<span class="keywordtype">double</span> r, <span class="keywordtype">double</span> g, <span class="keywordtype">double</span> b,
<a name="l00679"></a>00679 <span class="keywordtype">double</span> *x, <span class="keywordtype">double</span> *y, <span class="keywordtype">double</span> *z);
<a name="l00680"></a>00680 <span class="keyword">static</span> <span class="keywordtype">double</span> *RGBToXYZ(<span class="keyword">const</span> <span class="keywordtype">double</span> rgb[3]);
<a name="l00682"></a>00682
<a name="l00684"></a>00684
<a name="l00685"></a><a class="code" href="a00996.html#9ec1201a0065fcd63bf78c02e24ad7c0">00685</a> <span class="keyword">static</span> <span class="keywordtype">void</span> RGBToLab(<span class="keyword">const</span> <span class="keywordtype">double</span> rgb[3], <span class="keywordtype">double</span> lab[3]) {
<a name="l00686"></a>00686 RGBToLab(rgb[0], rgb[1], rgb[2], lab+0, lab+1, lab+2);
<a name="l00687"></a>00687 }
<a name="l00688"></a>00688 <span class="keyword">static</span> <span class="keywordtype">void</span> RGBToLab(<span class="keywordtype">double</span> red, <span class="keywordtype">double</span> green, <span class="keywordtype">double</span> blue,
<a name="l00689"></a>00689 <span class="keywordtype">double</span> *L, <span class="keywordtype">double</span> *a, <span class="keywordtype">double</span> *b);
<a name="l00690"></a>00690 <span class="keyword">static</span> <span class="keywordtype">double</span> *RGBToLab(<span class="keyword">const</span> <span class="keywordtype">double</span> rgb[3]);
<a name="l00692"></a>00692
<a name="l00694"></a>00694
<a name="l00695"></a><a class="code" href="a00996.html#d6939030cf36bbcda58590a1ed2d5804">00695</a> <span class="keyword">static</span> <span class="keywordtype">void</span> LabToRGB(<span class="keyword">const</span> <span class="keywordtype">double</span> lab[3], <span class="keywordtype">double</span> rgb[3]) {
<a name="l00696"></a>00696 LabToRGB(lab[0], lab[1], lab[2], rgb+0, rgb+1, rgb+2);
<a name="l00697"></a>00697 }
<a name="l00698"></a>00698 <span class="keyword">static</span> <span class="keywordtype">void</span> LabToRGB(<span class="keywordtype">double</span> L, <span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b,
<a name="l00699"></a>00699 <span class="keywordtype">double</span> *red, <span class="keywordtype">double</span> *green, <span class="keywordtype">double</span> *blue);
<a name="l00700"></a>00700 <span class="keyword">static</span> <span class="keywordtype">double</span> *LabToRGB(<span class="keyword">const</span> <span class="keywordtype">double</span> lab[3]);
<a name="l00702"></a>00702
<a name="l00704"></a>00704
<a name="l00705"></a><a class="code" href="a00996.html#b82dc2a06348b1041bd62a1eb9aea06c">00705</a> <span class="keyword">static</span> <span class="keywordtype">void</span> UninitializeBounds(<span class="keywordtype">double</span> bounds[6]){
<a name="l00706"></a>00706 bounds[0] = 1.0;
<a name="l00707"></a>00707 bounds[1] = -1.0;
<a name="l00708"></a>00708 bounds[2] = 1.0;
<a name="l00709"></a>00709 bounds[3] = -1.0;
<a name="l00710"></a>00710 bounds[4] = 1.0;
<a name="l00711"></a>00711 bounds[5] = -1.0;
<a name="l00712"></a>00712 }
<a name="l00714"></a>00714
<a name="l00716"></a>00716
<a name="l00717"></a><a class="code" href="a00996.html#e9fb2900520b8646d97f4b997a8c1749">00717</a> <span class="keyword">static</span> <span class="keywordtype">int</span> AreBoundsInitialized(<span class="keywordtype">double</span> bounds[6]){
<a name="l00718"></a>00718 <span class="keywordflow">if</span> ( bounds[1]-bounds[0]<0.0 )
<a name="l00719"></a>00719 {
<a name="l00720"></a>00720 <span class="keywordflow">return</span> 0;
<a name="l00721"></a>00721 }
<a name="l00722"></a>00722 <span class="keywordflow">return</span> 1;
<a name="l00723"></a>00723 }
<a name="l00725"></a>00725
<a name="l00727"></a>00727
<a name="l00729"></a>00729 <span class="keyword">static</span> <span class="keywordtype">void</span> ClampValue(<span class="keywordtype">double</span> *<a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d2106bf5e5151797630e91167caab3f22b9a">value</a>, <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d21076786d084c43d32f242990f932679539">range</a>[2]);
<a name="l00730"></a>00730 <span class="keyword">static</span> <span class="keywordtype">void</span> ClampValue(<span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d2106bf5e5151797630e91167caab3f22b9a">value</a>, <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d21076786d084c43d32f242990f932679539">range</a>[2], <span class="keywordtype">double</span> *clamped_value);
<a name="l00731"></a>00731 <span class="keyword">static</span> <span class="keywordtype">void</span> ClampValues(
<a name="l00732"></a>00732 <span class="keywordtype">double</span> *values, <span class="keywordtype">int</span> nb_values, <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d21076786d084c43d32f242990f932679539">range</a>[2]);
<a name="l00733"></a>00733 <span class="keyword">static</span> <span class="keywordtype">void</span> ClampValues(
<a name="l00734"></a>00734 <span class="keyword">const</span> <span class="keywordtype">double</span> *values, <span class="keywordtype">int</span> nb_values, <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d21076786d084c43d32f242990f932679539">range</a>[2], <span class="keywordtype">double</span> *clamped_values);
<a name="l00736"></a>00736
<a name="l00738"></a>00738
<a name="l00741"></a>00741 <span class="keyword">static</span> <span class="keywordtype">double</span> ClampAndNormalizeValue(<span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d2106bf5e5151797630e91167caab3f22b9a">value</a>,
<a name="l00742"></a>00742 <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d21076786d084c43d32f242990f932679539">range</a>[2]);
<a name="l00744"></a>00744
<a name="l00746"></a>00746
<a name="l00752"></a>00752 <span class="keyword">static</span> <span class="keywordtype">int</span> GetScalarTypeFittingRange(
<a name="l00753"></a>00753 <span class="keywordtype">double</span> range_min, <span class="keywordtype">double</span> range_max,
<a name="l00754"></a>00754 <span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d210733bd1e54b6acd59b06105c91204401e">scale</a> = 1.0, <span class="keywordtype">double</span> shift = 0.0);
<a name="l00756"></a>00756
<a name="l00758"></a>00758
<a name="l00764"></a>00764 <span class="keyword">static</span> <span class="keywordtype">int</span> GetAdjustedScalarRange(
<a name="l00765"></a>00765 <a class="code" href="a00356.html" title="abstract superclass for arrays of numeric data">vtkDataArray</a> *array, <span class="keywordtype">int</span> comp, <span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d21076786d084c43d32f242990f932679539">range</a>[2]);
<a name="l00767"></a>00767
<a name="l00770"></a>00770 <span class="keyword">static</span> <span class="keywordtype">int</span> ExtentIsWithinOtherExtent(<span class="keywordtype">int</span> extent1[6], <span class="keywordtype">int</span> extent2[6]);
<a name="l00771"></a>00771
<a name="l00775"></a>00775 <span class="keyword">static</span> <span class="keywordtype">int</span> BoundsIsWithinOtherBounds(<span class="keywordtype">double</span> bounds1[6], <span class="keywordtype">double</span> bounds2[6], <span class="keywordtype">double</span> delta[3]);
<a name="l00776"></a>00776
<a name="l00780"></a>00780 <span class="keyword">static</span> <span class="keywordtype">int</span> PointIsWithinBounds(<span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d21006fc9b75c5a0835cfad2ef5d44379a0b">point</a>[3], <span class="keywordtype">double</span> bounds[6], <span class="keywordtype">double</span> delta[3]);
<a name="l00781"></a>00781
<a name="l00785"></a>00785 <span class="keyword">static</span> <span class="keywordtype">void</span> SpiralPoints(<a class="code" href="a02149.html#20bd6b6dedfe1bbb096c50354d52cc7e">vtkIdType</a> num, <a class="code" href="a01250.html" title="represent and manipulate 3D points">vtkPoints</a> * offsets);
<a name="l00786"></a>00786
<a name="l00788"></a>00788
<a name="l00790"></a>00790 <span class="keyword">static</span> <span class="keywordtype">double</span> Inf();
<a name="l00791"></a>00791 <span class="keyword">static</span> <span class="keywordtype">double</span> NegInf();
<a name="l00792"></a>00792 <span class="keyword">static</span> <span class="keywordtype">double</span> Nan();
<a name="l00794"></a>00794
<a name="l00795"></a>00795 <span class="keyword">protected</span>:
<a name="l00796"></a><a class="code" href="a00996.html#f9fa7080e218c2282732f40d8c51128f">00796</a> <a class="code" href="a00996.html" title="performs common math operations">vtkMath</a>() {};
<a name="l00797"></a><a class="code" href="a00996.html#7a526fb6bcf794a8ed7ffe7a6019941c">00797</a> ~<a class="code" href="a00996.html" title="performs common math operations">vtkMath</a>() {};
<a name="l00798"></a>00798
<a name="l00799"></a>00799 <span class="keyword">static</span> <span class="keywordtype">long</span> Seed;
<a name="l00800"></a>00800 <span class="keyword">private</span>:
<a name="l00801"></a>00801 <a class="code" href="a00996.html" title="performs common math operations">vtkMath</a>(<span class="keyword">const</span> <a class="code" href="a00996.html" title="performs common math operations">vtkMath</a>&); <span class="comment">// Not implemented.</span>
<a name="l00802"></a>00802 <span class="keywordtype">void</span> operator=(<span class="keyword">const</span> <a class="code" href="a00996.html" title="performs common math operations">vtkMath</a>&); <span class="comment">// Not implemented.</span>
<a name="l00803"></a>00803 };
<a name="l00804"></a>00804
<a name="l00805"></a>00805 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00806"></a><a class="code" href="a00996.html#0f8f2897ebd840e8b4766ff62ff4739c">00806</a> <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="a00996.html#0f8f2897ebd840e8b4766ff62ff4739c">vtkMath::RadiansFromDegrees</a>( <span class="keywordtype">float</span> x )
<a name="l00807"></a>00807 {
<a name="l00808"></a>00808 <span class="keywordflow">return</span> x * 0.017453292f;
<a name="l00809"></a>00809 }
<a name="l00810"></a>00810
<a name="l00811"></a>00811 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00812"></a><a class="code" href="a00996.html#9314b07f9843031715b6dd1142e088d0">00812</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#0f8f2897ebd840e8b4766ff62ff4739c">vtkMath::RadiansFromDegrees</a>( <span class="keywordtype">double</span> x )
<a name="l00813"></a>00813 {
<a name="l00814"></a>00814 <span class="keywordflow">return</span> x * 0.017453292519943295;
<a name="l00815"></a>00815 }
<a name="l00816"></a>00816
<a name="l00817"></a>00817 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00818"></a><a class="code" href="a00996.html#48cf5fb6b8f307a61ba5d3aa2ea5a733">00818</a> <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="a00996.html#48cf5fb6b8f307a61ba5d3aa2ea5a733">vtkMath::DegreesFromRadians</a>( <span class="keywordtype">float</span> x )
<a name="l00819"></a>00819 {
<a name="l00820"></a>00820 <span class="keywordflow">return</span> x * 57.2957795131f;
<a name="l00821"></a>00821 }
<a name="l00822"></a>00822
<a name="l00823"></a>00823 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00824"></a><a class="code" href="a00996.html#028e70a84b6700362b2e896395ce6d31">00824</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#48cf5fb6b8f307a61ba5d3aa2ea5a733">vtkMath::DegreesFromRadians</a>( <span class="keywordtype">double</span> x )
<a name="l00825"></a>00825 {
<a name="l00826"></a>00826 <span class="keywordflow">return</span> x * 57.29577951308232;
<a name="l00827"></a>00827 }
<a name="l00828"></a>00828
<a name="l00829"></a>00829 <span class="preprocessor">#ifndef VTK_LEGACY_REMOVE</span>
<a name="l00830"></a>00830 <span class="preprocessor"></span><span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00831"></a><a class="code" href="a00996.html#7a84a201f15975b3a64f69b41be49c9f">00831</a> <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="a00996.html#7a84a201f15975b3a64f69b41be49c9f">vtkMath::DegreesToRadians</a>()
<a name="l00832"></a>00832 {
<a name="l00833"></a>00833 VTK_LEGACY_REPLACED_BODY(<a class="code" href="a00996.html#7a84a201f15975b3a64f69b41be49c9f">vtkMath::DegreesToRadians</a>, <span class="stringliteral">"VTK 5.4"</span>,
<a name="l00834"></a>00834 <a class="code" href="a00996.html#0f8f2897ebd840e8b4766ff62ff4739c">vtkMath::RadiansFromDegrees</a>);
<a name="l00835"></a>00835
<a name="l00836"></a>00836 <span class="keywordflow">return</span> <a class="code" href="a00996.html#0f8f2897ebd840e8b4766ff62ff4739c">vtkMath::RadiansFromDegrees</a>( 1.f );
<a name="l00837"></a>00837 }
<a name="l00838"></a>00838
<a name="l00839"></a>00839 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00840"></a><a class="code" href="a00996.html#f20b34fb96aab2bd07ecdbd9cbedf14f">00840</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#f20b34fb96aab2bd07ecdbd9cbedf14f">vtkMath::DoubleDegreesToRadians</a>()
<a name="l00841"></a>00841 {
<a name="l00842"></a>00842 VTK_LEGACY_REPLACED_BODY(<a class="code" href="a00996.html#f20b34fb96aab2bd07ecdbd9cbedf14f">vtkMath::DoubleDegreesToRadians</a>, <span class="stringliteral">"VTK 5.4"</span>,
<a name="l00843"></a>00843 <a class="code" href="a00996.html#0f8f2897ebd840e8b4766ff62ff4739c">vtkMath::RadiansFromDegrees</a>);
<a name="l00844"></a>00844
<a name="l00845"></a>00845
<a name="l00846"></a>00846 <span class="keywordflow">return</span> <a class="code" href="a00996.html#0f8f2897ebd840e8b4766ff62ff4739c">vtkMath::RadiansFromDegrees</a>( 1. );
<a name="l00847"></a>00847 }
<a name="l00848"></a>00848
<a name="l00849"></a>00849 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00850"></a><a class="code" href="a00996.html#8e8db9c91a19909858eb3b752b3036ce">00850</a> <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="a00996.html#8e8db9c91a19909858eb3b752b3036ce">vtkMath::RadiansToDegrees</a>()
<a name="l00851"></a>00851 {
<a name="l00852"></a>00852 VTK_LEGACY_REPLACED_BODY(<a class="code" href="a00996.html#8e8db9c91a19909858eb3b752b3036ce">vtkMath::RadiansToDegrees</a>, <span class="stringliteral">"VTK 5.4"</span>,
<a name="l00853"></a>00853 <a class="code" href="a00996.html#48cf5fb6b8f307a61ba5d3aa2ea5a733">vtkMath::DegreesFromRadians</a>);
<a name="l00854"></a>00854
<a name="l00855"></a>00855 <span class="keywordflow">return</span> <a class="code" href="a00996.html#48cf5fb6b8f307a61ba5d3aa2ea5a733">vtkMath::DegreesFromRadians</a>( 1.f );
<a name="l00856"></a>00856 }
<a name="l00857"></a>00857
<a name="l00858"></a>00858 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00859"></a><a class="code" href="a00996.html#c0d3d3e3e03a0d8ae90eb9038a778503">00859</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#c0d3d3e3e03a0d8ae90eb9038a778503">vtkMath::DoubleRadiansToDegrees</a>()
<a name="l00860"></a>00860 {
<a name="l00861"></a>00861 VTK_LEGACY_REPLACED_BODY(<a class="code" href="a00996.html#c0d3d3e3e03a0d8ae90eb9038a778503">vtkMath::DoubleRadiansToDegrees</a>, <span class="stringliteral">"VTK 5.4"</span>,
<a name="l00862"></a>00862 <a class="code" href="a00996.html#48cf5fb6b8f307a61ba5d3aa2ea5a733">vtkMath::DegreesFromRadians</a>);
<a name="l00863"></a>00863
<a name="l00864"></a>00864 <span class="keywordflow">return</span> <a class="code" href="a00996.html#48cf5fb6b8f307a61ba5d3aa2ea5a733">vtkMath::DegreesFromRadians</a>( 1. );
<a name="l00865"></a>00865 }
<a name="l00866"></a>00866 <span class="preprocessor">#endif // #ifndef VTK_LEGACY_REMOVE</span>
<a name="l00867"></a>00867 <span class="preprocessor"></span>
<a name="l00868"></a>00868 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00869"></a><a class="code" href="a00996.html#5b5df05fb7a424fa2869a8dd148da508">00869</a> <span class="keyword">inline</span> vtkTypeInt64 <a class="code" href="a00996.html#5b5df05fb7a424fa2869a8dd148da508">vtkMath::Factorial</a>( <span class="keywordtype">int</span> N )
<a name="l00870"></a>00870 {
<a name="l00871"></a>00871 vtkTypeInt64 r = 1;
<a name="l00872"></a>00872 <span class="keywordflow">while</span> ( N > 1 )
<a name="l00873"></a>00873 {
<a name="l00874"></a>00874 r *= N--;
<a name="l00875"></a>00875 }
<a name="l00876"></a>00876 <span class="keywordflow">return</span> r;
<a name="l00877"></a>00877 }
<a name="l00878"></a>00878
<a name="l00879"></a>00879 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00880"></a><a class="code" href="a00996.html#254c119738283031ed27f2ca70322685">00880</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#29e4885c5d94003640f2ba7988bc107d">vtkMath::Random</a>( <span class="keywordtype">double</span> min, <span class="keywordtype">double</span> <a class="code" href="a02864.html#ffe776513b24d84b39af8ab0930fef7f">max</a> )
<a name="l00881"></a>00881 {
<a name="l00882"></a>00882 <span class="keywordflow">return</span> ( min + <a class="code" href="a00996.html#29e4885c5d94003640f2ba7988bc107d">vtkMath::Random</a>() * ( max - min ) );
<a name="l00883"></a>00883 }
<a name="l00884"></a>00884
<a name="l00885"></a>00885 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00886"></a><a class="code" href="a00996.html#fc984b768e615d48cd97e0f8594e2c3b">00886</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#fc984b768e615d48cd97e0f8594e2c3b">vtkMath::Gaussian</a>()
<a name="l00887"></a>00887 {
<a name="l00888"></a>00888 <span class="comment">// Use the Box-Mueller transform</span>
<a name="l00889"></a>00889 <span class="keywordtype">double</span> x = <a class="code" href="a00996.html#29e4885c5d94003640f2ba7988bc107d">vtkMath::Random</a>();
<a name="l00890"></a>00890 <span class="keywordtype">double</span> y = <a class="code" href="a00996.html#29e4885c5d94003640f2ba7988bc107d">vtkMath::Random</a>();
<a name="l00891"></a>00891 <span class="keywordflow">return</span> sqrt( -2. * log( x ) ) * cos( <a class="code" href="a00996.html#c21d956b4e1d6779580d7eea88e84475">vtkMath::DoubleTwoPi</a>() * y );
<a name="l00892"></a>00892 }
<a name="l00893"></a>00893
<a name="l00894"></a>00894 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00895"></a><a class="code" href="a00996.html#77ce281d6f6a0f514d7b06f31403772b">00895</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#fc984b768e615d48cd97e0f8594e2c3b">vtkMath::Gaussian</a>( <span class="keywordtype">double</span> mean, <span class="keywordtype">double</span> std )
<a name="l00896"></a>00896 {
<a name="l00897"></a>00897 <span class="keywordflow">return</span> mean + std * <a class="code" href="a00996.html#fc984b768e615d48cd97e0f8594e2c3b">vtkMath::Gaussian</a>();
<a name="l00898"></a>00898 }
<a name="l00899"></a>00899
<a name="l00900"></a>00900 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00901"></a><a class="code" href="a00996.html#a32a872d29227bb04a59fd60b0a96076">00901</a> <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="a00996.html#a32a872d29227bb04a59fd60b0a96076">vtkMath::Floor</a>(<span class="keywordtype">double</span> x)
<a name="l00902"></a>00902 {
<a name="l00903"></a>00903 <span class="preprocessor">#if defined i386 || defined _M_IX86</span>
<a name="l00904"></a>00904 <span class="preprocessor"></span> <span class="keyword">union </span>{ <span class="keywordtype">int</span> i[2]; <span class="keywordtype">double</span> d; } u;
<a name="l00905"></a>00905 <span class="comment">// use 52-bit precision of IEEE double to round (x - 0.25) to </span>
<a name="l00906"></a>00906 <span class="comment">// the nearest multiple of 0.5, according to prevailing rounding</span>
<a name="l00907"></a>00907 <span class="comment">// mode which is IEEE round-to-nearest,even</span>
<a name="l00908"></a>00908 u.d = (x - 0.25) + 3377699720527872.0; <span class="comment">// (2**51)*1.5</span>
<a name="l00909"></a>00909 <span class="comment">// extract mantissa, use shift to divide by 2 and hence get rid</span>
<a name="l00910"></a>00910 <span class="comment">// of the bit that gets messed up because the FPU uses</span>
<a name="l00911"></a>00911 <span class="comment">// round-to-nearest,even mode instead of round-to-nearest,+infinity</span>
<a name="l00912"></a>00912 <span class="keywordflow">return</span> u.i[0] >> 1;
<a name="l00913"></a>00913 <span class="preprocessor">#else</span>
<a name="l00914"></a>00914 <span class="preprocessor"></span> <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(floor( x ) );
<a name="l00915"></a>00915 <span class="preprocessor">#endif</span>
<a name="l00916"></a>00916 <span class="preprocessor"></span>}
<a name="l00917"></a>00917
<a name="l00918"></a>00918 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00919"></a><a class="code" href="a00996.html#a765892dedc5670ff8fbcb474789d2bd">00919</a> <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="a00996.html#a765892dedc5670ff8fbcb474789d2bd">vtkMath::Normalize</a>(<span class="keywordtype">float</span> x[3])
<a name="l00920"></a>00920 {
<a name="l00921"></a>00921 <span class="keywordtype">float</span> den;
<a name="l00922"></a>00922 <span class="keywordflow">if</span> ( ( den = <a class="code" href="a00996.html#1b75dcac2e5f0f1ddb9d05c611919541">vtkMath::Norm</a>( x ) ) != 0.0 )
<a name="l00923"></a>00923 {
<a name="l00924"></a>00924 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i < 3; i++)
<a name="l00925"></a>00925 {
<a name="l00926"></a>00926 x[i] /= den;
<a name="l00927"></a>00927 }
<a name="l00928"></a>00928 }
<a name="l00929"></a>00929 <span class="keywordflow">return</span> den;
<a name="l00930"></a>00930 }
<a name="l00931"></a>00931
<a name="l00932"></a>00932 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00933"></a><a class="code" href="a00996.html#9878597d78523a780d0bdff521021a26">00933</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#a765892dedc5670ff8fbcb474789d2bd">vtkMath::Normalize</a>(<span class="keywordtype">double</span> x[3])
<a name="l00934"></a>00934 {
<a name="l00935"></a>00935 <span class="keywordtype">double</span> den;
<a name="l00936"></a>00936 <span class="keywordflow">if</span> ( ( den = <a class="code" href="a00996.html#1b75dcac2e5f0f1ddb9d05c611919541">vtkMath::Norm</a>( x ) ) != 0.0 )
<a name="l00937"></a>00937 {
<a name="l00938"></a>00938 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i < 3; i++)
<a name="l00939"></a>00939 {
<a name="l00940"></a>00940 x[i] /= den;
<a name="l00941"></a>00941 }
<a name="l00942"></a>00942 }
<a name="l00943"></a>00943 <span class="keywordflow">return</span> den;
<a name="l00944"></a>00944 }
<a name="l00945"></a>00945
<a name="l00946"></a>00946 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00947"></a><a class="code" href="a00996.html#42bfd6092238f9a1a10975d5eb11f64b">00947</a> <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="a00996.html#42bfd6092238f9a1a10975d5eb11f64b">vtkMath::Normalize2D</a>(<span class="keywordtype">float</span> x[3])
<a name="l00948"></a>00948 {
<a name="l00949"></a>00949 <span class="keywordtype">float</span> den;
<a name="l00950"></a>00950 <span class="keywordflow">if</span> ( ( den = <a class="code" href="a00996.html#1222fa68a653dbef7489667303695154">vtkMath::Norm2D</a>( x ) ) != 0.0 )
<a name="l00951"></a>00951 {
<a name="l00952"></a>00952 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i < 2; i++)
<a name="l00953"></a>00953 {
<a name="l00954"></a>00954 x[i] /= den;
<a name="l00955"></a>00955 }
<a name="l00956"></a>00956 }
<a name="l00957"></a>00957 <span class="keywordflow">return</span> den;
<a name="l00958"></a>00958 }
<a name="l00959"></a>00959
<a name="l00960"></a>00960 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00961"></a><a class="code" href="a00996.html#08932572f5178c06c419ce9848d3b61c">00961</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#42bfd6092238f9a1a10975d5eb11f64b">vtkMath::Normalize2D</a>(<span class="keywordtype">double</span> x[3])
<a name="l00962"></a>00962 {
<a name="l00963"></a>00963 <span class="keywordtype">double</span> den;
<a name="l00964"></a>00964 <span class="keywordflow">if</span> ( ( den = <a class="code" href="a00996.html#1222fa68a653dbef7489667303695154">vtkMath::Norm2D</a>( x ) ) != 0.0 )
<a name="l00965"></a>00965 {
<a name="l00966"></a>00966 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i < 2; i++)
<a name="l00967"></a>00967 {
<a name="l00968"></a>00968 x[i] /= den;
<a name="l00969"></a>00969 }
<a name="l00970"></a>00970 }
<a name="l00971"></a>00971 <span class="keywordflow">return</span> den;
<a name="l00972"></a>00972 }
<a name="l00973"></a>00973
<a name="l00974"></a>00974 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00975"></a><a class="code" href="a00996.html#3e4e289c7f3dfb6c979d1c34aded4629">00975</a> <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="a00996.html#d7880485adb356a3be4e8f9cf91f52a5">vtkMath::Determinant3x3</a>(<span class="keyword">const</span> <span class="keywordtype">float</span> c1[3],
<a name="l00976"></a>00976 <span class="keyword">const</span> <span class="keywordtype">float</span> c2[3],
<a name="l00977"></a>00977 <span class="keyword">const</span> <span class="keywordtype">float</span> c3[3])
<a name="l00978"></a>00978 {
<a name="l00979"></a>00979 <span class="keywordflow">return</span> c1[0] * c2[1] * c3[2] + c2[0] * c3[1] * c1[2] + c3[0] * c1[1] * c2[2] -
<a name="l00980"></a>00980 c1[0] * c3[1] * c2[2] - c2[0] * c1[1] * c3[2] - c3[0] * c2[1] * c1[2];
<a name="l00981"></a>00981 }
<a name="l00982"></a>00982
<a name="l00983"></a>00983 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00984"></a><a class="code" href="a00996.html#fa2df192808d6c6ea2be34f3cf2ee2b7">00984</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#d7880485adb356a3be4e8f9cf91f52a5">vtkMath::Determinant3x3</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> c1[3],
<a name="l00985"></a>00985 <span class="keyword">const</span> <span class="keywordtype">double</span> c2[3],
<a name="l00986"></a>00986 <span class="keyword">const</span> <span class="keywordtype">double</span> c3[3])
<a name="l00987"></a>00987 {
<a name="l00988"></a>00988 <span class="keywordflow">return</span> c1[0] * c2[1] * c3[2] + c2[0] * c3[1] * c1[2] + c3[0] * c1[1] * c2[2] -
<a name="l00989"></a>00989 c1[0] * c3[1] * c2[2] - c2[0] * c1[1] * c3[2] - c3[0] * c2[1] * c1[2];
<a name="l00990"></a>00990 }
<a name="l00991"></a>00991
<a name="l00992"></a>00992 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l00993"></a><a class="code" href="a00996.html#07dd0f0455c7ed9ae0f58e7b427128fe">00993</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#d7880485adb356a3be4e8f9cf91f52a5">vtkMath::Determinant3x3</a>(<span class="keywordtype">double</span> a1, <span class="keywordtype">double</span> a2, <span class="keywordtype">double</span> a3,
<a name="l00994"></a>00994 <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> b2, <span class="keywordtype">double</span> b3,
<a name="l00995"></a>00995 <span class="keywordtype">double</span> c1, <span class="keywordtype">double</span> c2, <span class="keywordtype">double</span> c3)
<a name="l00996"></a>00996 {
<a name="l00997"></a>00997 <span class="keywordflow">return</span> ( a1 * <a class="code" href="a00996.html#b040d14bf00607680a62850b05f5faac">vtkMath::Determinant2x2</a>( b2, b3, c2, c3 )
<a name="l00998"></a>00998 - b1 * <a class="code" href="a00996.html#b040d14bf00607680a62850b05f5faac">vtkMath::Determinant2x2</a>( a2, a3, c2, c3 )
<a name="l00999"></a>00999 + c1 * <a class="code" href="a00996.html#b040d14bf00607680a62850b05f5faac">vtkMath::Determinant2x2</a>( a2, a3, b2, b3 ) );
<a name="l01000"></a>01000 }
<a name="l01001"></a>01001
<a name="l01002"></a>01002 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l01003"></a><a class="code" href="a00996.html#11944eda4bd17e4e57bcd1e49c2f9446">01003</a> <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="a00996.html#11944eda4bd17e4e57bcd1e49c2f9446">vtkMath::Distance2BetweenPoints</a>(<span class="keyword">const</span> <span class="keywordtype">float</span> x[3],
<a name="l01004"></a>01004 <span class="keyword">const</span> <span class="keywordtype">float</span> y[3])
<a name="l01005"></a>01005 {
<a name="l01006"></a>01006 <span class="keywordflow">return</span> ( ( x[0] - y[0] ) * ( x[0] - y[0] )
<a name="l01007"></a>01007 + ( x[1] - y[1] ) * ( x[1] - y[1] )
<a name="l01008"></a>01008 + ( x[2] - y[2] ) * ( x[2] - y[2] ) );
<a name="l01009"></a>01009 }
<a name="l01010"></a>01010
<a name="l01011"></a>01011 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l01012"></a><a class="code" href="a00996.html#2ae99578ae65acefe517b12a7f4068e1">01012</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#11944eda4bd17e4e57bcd1e49c2f9446">vtkMath::Distance2BetweenPoints</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x[3],
<a name="l01013"></a>01013 <span class="keyword">const</span> <span class="keywordtype">double</span> y[3])
<a name="l01014"></a>01014 {
<a name="l01015"></a>01015 <span class="keywordflow">return</span> ( ( x[0] - y[0] ) * ( x[0] - y[0] )
<a name="l01016"></a>01016 + ( x[1] - y[1] ) * ( x[1] - y[1] )
<a name="l01017"></a>01017 + ( x[2] - y[2] ) * ( x[2] - y[2] ) );
<a name="l01018"></a>01018 }
<a name="l01019"></a>01019
<a name="l01020"></a>01020 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l01021"></a>01021 <span class="comment">// Cross product of two 3-vectors. Result vector in z[3].</span>
<a name="l01022"></a><a class="code" href="a00996.html#0478c5164c7f26db4fa357f2f5f59bec">01022</a> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="a00996.html#0478c5164c7f26db4fa357f2f5f59bec">vtkMath::Cross</a>(<span class="keyword">const</span> <span class="keywordtype">float</span> x[3], <span class="keyword">const</span> <span class="keywordtype">float</span> y[3], <span class="keywordtype">float</span> z[3])
<a name="l01023"></a>01023 {
<a name="l01024"></a>01024 <span class="keywordtype">float</span> Zx = x[1] * y[2] - x[2] * y[1];
<a name="l01025"></a>01025 <span class="keywordtype">float</span> Zy = x[2] * y[0] - x[0] * y[2];
<a name="l01026"></a>01026 <span class="keywordtype">float</span> Zz = x[0] * y[1] - x[1] * y[0];
<a name="l01027"></a>01027 z[0] = Zx; z[1] = Zy; z[2] = Zz;
<a name="l01028"></a>01028 }
<a name="l01029"></a>01029
<a name="l01030"></a>01030 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l01031"></a>01031 <span class="comment">// Cross product of two 3-vectors. Result vector in z[3].</span>
<a name="l01032"></a><a class="code" href="a00996.html#6cd7325b04369f312cea2ca01cdce96b">01032</a> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="a00996.html#0478c5164c7f26db4fa357f2f5f59bec">vtkMath::Cross</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x[3], <span class="keyword">const</span> <span class="keywordtype">double</span> y[3], <span class="keywordtype">double</span> z[3])
<a name="l01033"></a>01033 {
<a name="l01034"></a>01034 <span class="keywordtype">double</span> Zx = x[1] * y[2] - x[2] * y[1];
<a name="l01035"></a>01035 <span class="keywordtype">double</span> Zy = x[2] * y[0] - x[0] * y[2];
<a name="l01036"></a>01036 <span class="keywordtype">double</span> Zz = x[0] * y[1] - x[1] * y[0];
<a name="l01037"></a>01037 z[0] = Zx; z[1] = Zy; z[2] = Zz;
<a name="l01038"></a>01038 }
<a name="l01039"></a>01039
<a name="l01040"></a>01040 <span class="comment">//BTX</span>
<a name="l01041"></a>01041 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l01042"></a>01042 <span class="keyword">template</span><<span class="keyword">class</span> T>
<a name="l01043"></a><a class="code" href="a02073.html#c3fc09c82d39fa159b07923b1d2b9c1d">01043</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a02073.html#c3fc09c82d39fa159b07923b1d2b9c1d">vtkDeterminant3x3</a>(T A[3][3])
<a name="l01044"></a>01044 {
<a name="l01045"></a>01045 <span class="keywordflow">return</span> A[0][0] * A[1][1] * A[2][2] + A[1][0] * A[2][1] * A[0][2] +
<a name="l01046"></a>01046 A[2][0] * A[0][1] * A[1][2] - A[0][0] * A[2][1] * A[1][2] -
<a name="l01047"></a>01047 A[1][0] * A[0][1] * A[2][2] - A[2][0] * A[1][1] * A[0][2];
<a name="l01048"></a>01048 }
<a name="l01049"></a>01049 <span class="comment">//ETX</span>
<a name="l01050"></a>01050
<a name="l01051"></a>01051 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l01052"></a><a class="code" href="a00996.html#d7880485adb356a3be4e8f9cf91f52a5">01052</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#d7880485adb356a3be4e8f9cf91f52a5">vtkMath::Determinant3x3</a>(<span class="keywordtype">float</span> A[3][3])
<a name="l01053"></a>01053 {
<a name="l01054"></a>01054 <span class="keywordflow">return</span> <a class="code" href="a02073.html#c3fc09c82d39fa159b07923b1d2b9c1d">vtkDeterminant3x3</a>( A );
<a name="l01055"></a>01055 }
<a name="l01056"></a>01056
<a name="l01057"></a>01057 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l01058"></a><a class="code" href="a00996.html#90aac8b6457f1f6af628aa29f59d8ea5">01058</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#d7880485adb356a3be4e8f9cf91f52a5">vtkMath::Determinant3x3</a>(<span class="keywordtype">double</span> A[3][3])
<a name="l01059"></a>01059 {
<a name="l01060"></a>01060 <span class="keywordflow">return</span> <a class="code" href="a02073.html#c3fc09c82d39fa159b07923b1d2b9c1d">vtkDeterminant3x3</a>( A );
<a name="l01061"></a>01061 }
<a name="l01062"></a>01062
<a name="l01063"></a>01063 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l01064"></a><a class="code" href="a00996.html#470f5cbb2efcb33a3c03355f0f916a1c">01064</a> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="a00996.html#470f5cbb2efcb33a3c03355f0f916a1c">vtkMath::ClampValue</a>(<span class="keywordtype">double</span> *<a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d2106bf5e5151797630e91167caab3f22b9a">value</a>, <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d21076786d084c43d32f242990f932679539">range</a>[2])
<a name="l01065"></a>01065 {
<a name="l01066"></a>01066 <span class="keywordflow">if</span> (value && range)
<a name="l01067"></a>01067 {
<a name="l01068"></a>01068 <span class="keywordflow">if</span> (*value < range[0])
<a name="l01069"></a>01069 {
<a name="l01070"></a>01070 *value = range[0];
<a name="l01071"></a>01071 }
<a name="l01072"></a>01072 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*value > range[1])
<a name="l01073"></a>01073 {
<a name="l01074"></a>01074 *value = range[1];
<a name="l01075"></a>01075 }
<a name="l01076"></a>01076 }
<a name="l01077"></a>01077 }
<a name="l01078"></a>01078
<a name="l01079"></a>01079 <span class="comment">//----------------------------------------------------------------------------</span>
<a name="l01080"></a><a class="code" href="a00996.html#511ae083561cc64471c8d261e088251d">01080</a> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="a00996.html#470f5cbb2efcb33a3c03355f0f916a1c">vtkMath::ClampValue</a>(
<a name="l01081"></a>01081 <span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d2106bf5e5151797630e91167caab3f22b9a">value</a>, <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d21076786d084c43d32f242990f932679539">range</a>[2], <span class="keywordtype">double</span> *clamped_value)
<a name="l01082"></a>01082 {
<a name="l01083"></a>01083 <span class="keywordflow">if</span> (range && clamped_value)
<a name="l01084"></a>01084 {
<a name="l01085"></a>01085 <span class="keywordflow">if</span> (value < range[0])
<a name="l01086"></a>01086 {
<a name="l01087"></a>01087 *clamped_value = range[0];
<a name="l01088"></a>01088 }
<a name="l01089"></a>01089 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (value > range[1])
<a name="l01090"></a>01090 {
<a name="l01091"></a>01091 *clamped_value = range[1];
<a name="l01092"></a>01092 }
<a name="l01093"></a>01093 <span class="keywordflow">else</span>
<a name="l01094"></a>01094 {
<a name="l01095"></a>01095 *clamped_value = value;
<a name="l01096"></a>01096 }
<a name="l01097"></a>01097 }
<a name="l01098"></a>01098 }
<a name="l01099"></a>01099
<a name="l01100"></a>01100 <span class="comment">// ---------------------------------------------------------------------------</span>
<a name="l01101"></a><a class="code" href="a00996.html#95e4d9d6928d49b88408cc5f4595c5da">01101</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="a00996.html#95e4d9d6928d49b88408cc5f4595c5da">vtkMath::ClampAndNormalizeValue</a>(<span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d2106bf5e5151797630e91167caab3f22b9a">value</a>,
<a name="l01102"></a>01102 <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="a03761.html#c6551f7bf833e8254b2b3ecdaea0d21076786d084c43d32f242990f932679539">range</a>[2])
<a name="l01103"></a>01103 {
<a name="l01104"></a>01104 assert(<span class="stringliteral">"pre: valid_range"</span> && range[0]<=range[1]);
<a name="l01105"></a>01105
<a name="l01106"></a>01106 <span class="keywordtype">double</span> result;
<a name="l01107"></a>01107 <span class="keywordflow">if</span>(range[0]==range[1])
<a name="l01108"></a>01108 {
<a name="l01109"></a>01109 result=0.0;
<a name="l01110"></a>01110 }
<a name="l01111"></a>01111 <span class="keywordflow">else</span>
<a name="l01112"></a>01112 {
<a name="l01113"></a>01113 <span class="comment">// clamp</span>
<a name="l01114"></a>01114 <span class="keywordflow">if</span>(value<range[0])
<a name="l01115"></a>01115 {
<a name="l01116"></a>01116 result=range[0];
<a name="l01117"></a>01117 }
<a name="l01118"></a>01118 <span class="keywordflow">else</span>
<a name="l01119"></a>01119 {
<a name="l01120"></a>01120 <span class="keywordflow">if</span>(value>range[1])
<a name="l01121"></a>01121 {
<a name="l01122"></a>01122 result=range[1];
<a name="l01123"></a>01123 }
<a name="l01124"></a>01124 <span class="keywordflow">else</span>
<a name="l01125"></a>01125 {
<a name="l01126"></a>01126 result=value;
<a name="l01127"></a>01127 }
<a name="l01128"></a>01128 }
<a name="l01129"></a>01129
<a name="l01130"></a>01130 <span class="comment">// normalize</span>
<a name="l01131"></a>01131 result=( result - range[0] ) / ( range[1] - range[0] );
<a name="l01132"></a>01132 }
<a name="l01133"></a>01133
<a name="l01134"></a>01134 assert(<span class="stringliteral">"post: valid_result"</span> && result>=0.0 && result<=1.0);
<a name="l01135"></a>01135
<a name="l01136"></a>01136 <span class="keywordflow">return</span> result;
<a name="l01137"></a>01137 }
<a name="l01138"></a>01138
<a name="l01139"></a>01139 <span class="preprocessor">#endif</span>
</pre></div></div>
<hr size="1"><address style="text-align: right;"><small>Generated on Wed Jun 3 18:35:11 2009 for VTK by
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