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<h1>LinearTransform.cxx</h1><a href="LinearTransform_8cxx.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 
<a name="l00012"></a>00012 <span class="preprocessor">#include &quot;<a class="code" href="LinearTransform_8h.html" title="LinearTransform class interface.">LinearTransform.h</a>&quot;</span>
<a name="l00013"></a>00013 
<a name="l00014"></a>00014 <span class="preprocessor">#include &quot;<a class="code" href="AxisModelBase_8h.html" title="hippodraw::AxisModelBase class interface">axes/AxisModelBase.h</a>&quot;</span>
<a name="l00015"></a>00015 <span class="preprocessor">#include &quot;<a class="code" href="AxisTick_8h.html" title="AxisTick class interface.">axes/AxisTick.h</a>&quot;</span>
<a name="l00016"></a>00016 
<a name="l00017"></a>00017 <span class="preprocessor">#include &lt;cmath&gt;</span>
<a name="l00018"></a>00018 <span class="preprocessor">#include &lt;cstdio&gt;</span>
<a name="l00019"></a>00019 
<a name="l00020"></a>00020 <span class="keyword">using</span> std::abs;
<a name="l00021"></a>00021 <span class="keyword">using</span> std::max;
<a name="l00022"></a>00022 <span class="keyword">using</span> std::vector;
<a name="l00023"></a>00023 
<a name="l00024"></a>00024 <span class="keyword">namespace </span>hippodraw {
<a name="l00025"></a>00025 
<a name="l00030"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#a92877f79b1fc9528522550c804f79cd0">00030</a> <a class="code" href="classhippodraw_1_1LinearTransform.html#a92877f79b1fc9528522550c804f79cd0" title="The default constructor.">LinearTransform::LinearTransform</a> ()
<a name="l00031"></a>00031   : <a class="code" href="classhippodraw_1_1UnaryTransform.html" title="A transform that transforms coordinates in one dimension from one coordinate system...">UnaryTransform</a> ( -DBL_MAX, DBL_MAX )
<a name="l00032"></a>00032 {
<a name="l00033"></a>00033   <a class="code" href="classhippodraw_1_1TransformBase.html#adb41893ba19e889e56c559f25fc1a68a" title="Name of the Transform.">m_name</a> = <span class="stringliteral">&quot;Linear&quot;</span>;
<a name="l00034"></a>00034 }
<a name="l00035"></a>00035 
<a name="l00036"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#ad1cb32c4974ca631308b7da9f16f6a1d">00036</a> <a class="code" href="classhippodraw_1_1LinearTransform.html#ad1cb32c4974ca631308b7da9f16f6a1d" title="The virtual destructor.">LinearTransform::~LinearTransform</a> ()
<a name="l00037"></a>00037 {
<a name="l00038"></a>00038 }
<a name="l00039"></a>00039 
<a name="l00040"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#a7ff7399ae93fa7e03a3df57d34d96f12">00040</a> <a class="code" href="classhippodraw_1_1LinearTransform.html#a92877f79b1fc9528522550c804f79cd0" title="The default constructor.">LinearTransform::LinearTransform</a> ( <span class="keyword">const</span> <a class="code" href="classhippodraw_1_1LinearTransform.html" title="A transform on one axis whose output is equal to the input.">LinearTransform</a> &amp; lt )
<a name="l00041"></a>00041   : <a class="code" href="classhippodraw_1_1UnaryTransform.html" title="A transform that transforms coordinates in one dimension from one coordinate system...">UnaryTransform</a> ( lt )
<a name="l00042"></a>00042 {
<a name="l00043"></a>00043 }
<a name="l00044"></a>00044 
<a name="l00045"></a>00045 <span class="preprocessor">#ifdef CLONE_DEFECT</span>
<a name="l00046"></a>00046 <span class="preprocessor"></span><a class="code" href="classhippodraw_1_1TransformBase.html" title="A transform that transforms coordinates from one coordinate system to another.">TransformBase</a>   * <a class="code" href="classhippodraw_1_1LinearTransform.html#a5f0413be2b085270f6fbbb263416f7cd" title="Creates a new Transform object by copying an existing one.">LinearTransform::clone</a> () const
<a name="l00047"></a>00047 <span class="preprocessor">#else</span>
<a name="l00048"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#a5f0413be2b085270f6fbbb263416f7cd">00048</a> <span class="preprocessor"></span><a class="code" href="classhippodraw_1_1LinearTransform.html" title="A transform on one axis whose output is equal to the input.">LinearTransform</a> * <a class="code" href="classhippodraw_1_1LinearTransform.html#a5f0413be2b085270f6fbbb263416f7cd" title="Creates a new Transform object by copying an existing one.">LinearTransform::clone</a> () const
<a name="l00049"></a>00049 <span class="preprocessor">#endif </span>
<a name="l00050"></a>00050 <span class="preprocessor"></span>{
<a name="l00051"></a>00051   <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="classhippodraw_1_1LinearTransform.html" title="A transform on one axis whose output is equal to the input.">LinearTransform</a> ( *<span class="keyword">this</span> );
<a name="l00052"></a>00052 }
<a name="l00053"></a>00053 
<a name="l00054"></a>00054 <span class="keywordtype">bool</span>
<a name="l00055"></a>00055 <a class="code" href="classhippodraw_1_1LinearTransform.html#a792fef1281c0bcc191b5bf4330f5eeb3">LinearTransform::</a>
<a name="l00056"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#a792fef1281c0bcc191b5bf4330f5eeb3">00056</a> <a class="code" href="classhippodraw_1_1LinearTransform.html#a792fef1281c0bcc191b5bf4330f5eeb3">isLinear</a> ()<span class="keyword"> const</span>
<a name="l00057"></a>00057 <span class="keyword"></span>{
<a name="l00058"></a>00058   <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00059"></a>00059 }
<a name="l00060"></a>00060 
<a name="l00061"></a>00061 <span class="keywordtype">void</span>
<a name="l00062"></a>00062 <a class="code" href="classhippodraw_1_1LinearTransform.html#aee3a2817949711b6b0a3465c032126a8" title="Transforms the coordinate @ x.">LinearTransform::</a>
<a name="l00063"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#aee3a2817949711b6b0a3465c032126a8">00063</a> <a class="code" href="classhippodraw_1_1LinearTransform.html#aee3a2817949711b6b0a3465c032126a8" title="Transforms the coordinate @ x.">transform</a> ( <span class="keywordtype">double</span> &amp; )<span class="keyword"> const</span>
<a name="l00064"></a>00064 <span class="keyword"></span>{
<a name="l00065"></a>00065 }
<a name="l00066"></a>00066 
<a name="l00067"></a>00067 <span class="keywordtype">void</span>
<a name="l00068"></a>00068 <a class="code" href="classhippodraw_1_1LinearTransform.html#ae08ffa4131d0bb8a4072fb2c90ee28e9" title="Inverse transforms the coordinate x.">LinearTransform::</a>
<a name="l00069"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#ae08ffa4131d0bb8a4072fb2c90ee28e9">00069</a> <a class="code" href="classhippodraw_1_1LinearTransform.html#ae08ffa4131d0bb8a4072fb2c90ee28e9" title="Inverse transforms the coordinate x.">inverseTransform</a> ( <span class="keywordtype">double</span> &amp; )<span class="keyword"> const</span>
<a name="l00070"></a>00070 <span class="keyword"></span>{
<a name="l00071"></a>00071 }
<a name="l00072"></a>00072 
<a name="l00073"></a>00073 <span class="keywordtype">void</span>
<a name="l00074"></a>00074 <a class="code" href="classhippodraw_1_1LinearTransform.html#aee3a2817949711b6b0a3465c032126a8" title="Transforms the coordinate @ x.">LinearTransform::</a>
<a name="l00075"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#a1005e56655132bca417febd05bb02a74">00075</a> <a class="code" href="classhippodraw_1_1LinearTransform.html#aee3a2817949711b6b0a3465c032126a8" title="Transforms the coordinate @ x.">transform</a> ( std::vector &lt; double &gt; &amp; )<span class="keyword"> const</span>
<a name="l00076"></a>00076 <span class="keyword"></span>{
<a name="l00077"></a>00077 }
<a name="l00078"></a>00078 
<a name="l00079"></a>00079 <span class="comment">/* virtual */</span>
<a name="l00080"></a>00080 <span class="keywordtype">void</span>
<a name="l00081"></a>00081 <a class="code" href="classhippodraw_1_1LinearTransform.html#ab36d3909864539674c1cfb50d1ffa66f" title="The following function validates the range.">LinearTransform::</a>
<a name="l00082"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#ab36d3909864539674c1cfb50d1ffa66f">00082</a> <a class="code" href="classhippodraw_1_1LinearTransform.html#ab36d3909864539674c1cfb50d1ffa66f" title="The following function validates the range.">validate</a> ( <a class="code" href="classhippodraw_1_1Range.html" title="Expresses a range of values.">Range</a> &amp; )<span class="keyword"> const</span>
<a name="l00083"></a>00083 <span class="keyword"></span>{
<a name="l00084"></a>00084   <span class="comment">// Nothing to be done.</span>
<a name="l00085"></a>00085 }
<a name="l00086"></a>00086 
<a name="l00087"></a>00087 <span class="keyword">const</span> vector &lt; AxisTick &gt; &amp;
<a name="l00088"></a>00088 <a class="code" href="classhippodraw_1_1LinearTransform.html#a63520cdf916ece9fb7de60f014dff1b7" title="Sets the vector of ticks along the axis to which this Linear transform is applied...">LinearTransform::</a>
<a name="l00089"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#a63520cdf916ece9fb7de60f014dff1b7">00089</a> <a class="code" href="classhippodraw_1_1LinearTransform.html#a63520cdf916ece9fb7de60f014dff1b7" title="Sets the vector of ticks along the axis to which this Linear transform is applied...">setTicks</a> ( <a class="code" href="classhippodraw_1_1AxisModelBase.html" title="The AxisModelBase class maintains the Range and scaling of an axis.">AxisModelBase</a> &amp; axis )
<a name="l00090"></a>00090 {
<a name="l00091"></a>00091   <a class="code" href="classhippodraw_1_1LinearTransform.html#ada2f4d52253c008767b6ac38f94e985b">setTickStep</a>( axis );
<a name="l00092"></a>00092   <a class="code" href="classhippodraw_1_1LinearTransform.html#a14bf1587975bfb3064dd9cc74c8ac66a">setFirstTick</a>( axis );
<a name="l00093"></a>00093 
<a name="l00094"></a>00094   <span class="keywordflow">return</span> <a class="code" href="classhippodraw_1_1LinearTransform.html#af8a49cf2363c45baf09c0c2b8e1849fb">genTicks</a>( axis );
<a name="l00095"></a>00095 }
<a name="l00096"></a>00096 
<a name="l00097"></a><a class="code" href="namespacehippodraw.html#a677bae1007193bb8a36edc63239a541a">00097</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacehippodraw.html#a677bae1007193bb8a36edc63239a541a">FLT_EQUAL</a>( <span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y )
<a name="l00098"></a>00098 {
<a name="l00099"></a>00099   <span class="keywordflow">return</span> ( (<span class="keywordtype">double</span>)abs( x - y ) &lt;= 2.0 * ( y * FLT_EPSILON + FLT_MIN ) );
<a name="l00100"></a>00100 }
<a name="l00101"></a>00101 
<a name="l00102"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#ada2f4d52253c008767b6ac38f94e985b">00102</a> <span class="keywordtype">void</span> <a class="code" href="classhippodraw_1_1LinearTransform.html#ada2f4d52253c008767b6ac38f94e985b">LinearTransform::setTickStep</a>( <a class="code" href="classhippodraw_1_1AxisModelBase.html" title="The AxisModelBase class maintains the Range and scaling of an axis.">AxisModelBase</a> &amp; axis )
<a name="l00103"></a>00103 {
<a name="l00104"></a>00104   <span class="keyword">static</span> <span class="keywordtype">float</span> goodTicks[] = { 5.0, 4.0, 2.0, 1.0 };
<a name="l00105"></a>00105   <span class="keywordtype">int</span> tickIndex;
<a name="l00106"></a>00106   
<a name="l00107"></a>00107   <span class="keyword">const</span> <a class="code" href="classhippodraw_1_1Range.html" title="Expresses a range of values.">Range</a> &amp; range = axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a47adba99d1bb0dd9eb9800f931feb672" title="Returns the range represented by this AxisModel.">getRange</a>(<span class="keyword">false</span>);
<a name="l00108"></a>00108   <span class="keywordtype">double</span> rangeLength = range.<a class="code" href="classhippodraw_1_1Range.html#ad207cb443e371f73f07e874c504f60c1" title="Returns the length of the range object.">length</a>();
<a name="l00109"></a>00109 
<a name="l00110"></a>00110   <span class="keywordtype">double</span> scale_factor = axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#afbde1a57da2ad6bd8e170d77e36e64bb" title="Returns the scale factor.">getScaleFactor</a>();
<a name="l00111"></a>00111   rangeLength *= scale_factor;
<a name="l00112"></a>00112   <span class="keyword">const</span> <span class="keywordtype">int</span> MIN_TICKS = 3;
<a name="l00113"></a>00113   
<a name="l00114"></a>00114   <span class="comment">// The following algorithm determines the magnitude of the range...</span>
<a name="l00115"></a>00115   <span class="keywordtype">double</span> rmag = floor( log10( rangeLength ) );
<a name="l00116"></a>00116   
<a name="l00117"></a>00117   <span class="comment">// ...and then decreases by one magnitude if it would allow less than</span>
<a name="l00118"></a>00118   <span class="comment">// 3 ticks (e.g., the range is 25000 and the magnitude is 10000.  This</span>
<a name="l00119"></a>00119   <span class="comment">// would allow for 2.5 ticks while we in fact would rather have a</span>
<a name="l00120"></a>00120   <span class="comment">// magnitude of 1000, multiplied by a constant, as below).</span>
<a name="l00121"></a>00121 
<a name="l00122"></a>00122   <span class="keywordflow">if</span>( rangeLength / pow( 10.0, rmag ) &lt; MIN_TICKS ) {
<a name="l00123"></a>00123     rmag--;
<a name="l00124"></a>00124   }
<a name="l00125"></a>00125 
<a name="l00126"></a>00126   axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#af933579f4160e62b19ce2fba5f530c91" title="Sets the magnitude of the range.">setRMag</a>( rmag );
<a name="l00127"></a>00127   
<a name="l00128"></a>00128   <span class="keywordtype">double</span> scalelow = range.<a class="code" href="classhippodraw_1_1Range.html#a3865c37c86de4e4eafc43b6b40ef05b9" title="Returns the minimum of the range object.">low</a>() * scale_factor;
<a name="l00129"></a>00129   <span class="keywordtype">double</span> scalehigh = range.<a class="code" href="classhippodraw_1_1Range.html#a10f7231db7f0fe0855fc344e98575714" title="Returns the maximum of the range object.">high</a>() * scale_factor;
<a name="l00130"></a>00130 
<a name="l00131"></a>00131   <span class="comment">// We will also need the largest magnitude for labels.</span>
<a name="l00132"></a>00132   <span class="keywordtype">double</span> pmag = max( floor( log10( abs ( scalehigh ) ) ), 
<a name="l00133"></a>00133                      floor( log10( abs ( scalelow ) ) ) );
<a name="l00134"></a>00134 
<a name="l00135"></a>00135   <span class="comment">// This if statement changes the magnitude so that if the high or</span>
<a name="l00136"></a>00136   <span class="comment">// low is exactly a power of 10, we will give labels from</span>
<a name="l00137"></a>00137   <span class="comment">// [1,10] * 10^mag and not [0,1] * 10^mag.</span>
<a name="l00138"></a>00138   <span class="keywordflow">if</span>( pow( 10.0, pmag ) == scalehigh ||
<a name="l00139"></a>00139       pow( 10.0, pmag ) == scalelow ) pmag--;
<a name="l00140"></a>00140 
<a name="l00141"></a>00141   axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a447254d994d524156b490c0f78dc5c5a" title="Sets the magnitude of the power of ten for the tick labels.">setPMag</a>( pmag );
<a name="l00142"></a>00142   
<a name="l00143"></a>00143   <span class="comment">// Now we determine the above stated constant.  The magnitude is already</span>
<a name="l00144"></a>00144   <span class="comment">// known, so we see what&#39;s the closest we can get to exactly 3 ticks</span>
<a name="l00145"></a>00145   <span class="comment">// under this magnitude.  In the above example, a range of 25000 was</span>
<a name="l00146"></a>00146   <span class="comment">// given with a magnitude of 1000.  This algorithm will recognize that</span>
<a name="l00147"></a>00147   <span class="comment">// 5.0 * 1000 will give 5 ticks, which is a good number to have.  If</span>
<a name="l00148"></a>00148   <span class="comment">// the range was 12000 and magnitude 1000 then 5.0 * 1000 would give</span>
<a name="l00149"></a>00149   <span class="comment">// only 2 ticks, not enough.  The loop would then proceed to 4.0 * 1000</span>
<a name="l00150"></a>00150   <span class="comment">// which will give exactly 3 ticks.</span>
<a name="l00151"></a>00151   <span class="keywordtype">double</span> tick_step = 0;
<a name="l00152"></a>00152   <span class="keywordflow">for</span>( tickIndex = 0;
<a name="l00153"></a>00153        rangeLength /
<a name="l00154"></a>00154          ( tick_step = goodTicks[tickIndex] * pow( 10.0, rmag ) )
<a name="l00155"></a>00155          &lt; MIN_TICKS;
<a name="l00156"></a>00156        tickIndex++ ){};
<a name="l00157"></a>00157 
<a name="l00158"></a>00158   axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#ae8434910717057b1d2e5a92bba63a756" title="Sets the tick step.">setTickStep</a>( tick_step );
<a name="l00159"></a>00159 }
<a name="l00160"></a>00160 
<a name="l00161"></a>00161 
<a name="l00162"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#a14bf1587975bfb3064dd9cc74c8ac66a">00162</a> <span class="keywordtype">void</span> <a class="code" href="classhippodraw_1_1LinearTransform.html#a14bf1587975bfb3064dd9cc74c8ac66a">LinearTransform::setFirstTick</a>( <a class="code" href="classhippodraw_1_1AxisModelBase.html" title="The AxisModelBase class maintains the Range and scaling of an axis.">AxisModelBase</a> &amp; axis )
<a name="l00163"></a>00163 {
<a name="l00164"></a>00164   <span class="keyword">const</span> <a class="code" href="classhippodraw_1_1Range.html" title="Expresses a range of values.">Range</a> &amp; range = axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a47adba99d1bb0dd9eb9800f931feb672" title="Returns the range represented by this AxisModel.">getRange</a>(<span class="keyword">true</span>);
<a name="l00165"></a>00165   <span class="keywordtype">double</span> low = range.<a class="code" href="classhippodraw_1_1Range.html#a3865c37c86de4e4eafc43b6b40ef05b9" title="Returns the minimum of the range object.">low</a>();
<a name="l00166"></a>00166   <span class="keywordtype">double</span> tick_step = axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a4421f43d8e6dbd79ef9e5f863b2da21c" title="Returns the tick step in the true coordinate system.">getTickStep</a>();
<a name="l00167"></a>00167 
<a name="l00168"></a>00168   <span class="comment">// This sets the first tick as the low value rounded up to the</span>
<a name="l00169"></a>00169   <span class="comment">// nearest tick step.  If the low value fell on a tick, then that is</span>
<a name="l00170"></a>00170   <span class="comment">// the first tick.  Otherwise, it is the next tick inside the range</span>
<a name="l00171"></a>00171   <span class="comment">// of the data.</span>
<a name="l00172"></a>00172   axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a74b0210580d8668f96dabcc2d2260928" title="Sets the value for first tick step.">setFirstTick</a>( ceil( low / tick_step ) * tick_step );
<a name="l00173"></a>00173 }
<a name="l00174"></a>00174 
<a name="l00175"></a>00175 
<a name="l00178"></a>00178 <span class="keyword">const</span> vector &lt; AxisTick &gt; &amp;
<a name="l00179"></a>00179 <a class="code" href="classhippodraw_1_1LinearTransform.html#af8a49cf2363c45baf09c0c2b8e1849fb">LinearTransform::</a>
<a name="l00180"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#af8a49cf2363c45baf09c0c2b8e1849fb">00180</a> <a class="code" href="classhippodraw_1_1LinearTransform.html#af8a49cf2363c45baf09c0c2b8e1849fb">genTicks</a>( <a class="code" href="classhippodraw_1_1AxisModelBase.html" title="The AxisModelBase class maintains the Range and scaling of an axis.">AxisModelBase</a> &amp; axis )
<a name="l00181"></a>00181 { 
<a name="l00182"></a>00182   <span class="keywordtype">double</span> y = 0.0, ylabel;
<a name="l00183"></a>00183   
<a name="l00184"></a>00184   <span class="keywordtype">int</span> num_ticks = 0;
<a name="l00185"></a>00185   <a class="code" href="classhippodraw_1_1LinearTransform.html#afb83347aa94ee29360b10d085dba3e02" title="The ticks generated by this transform.">m_ticks</a>.clear();
<a name="l00186"></a>00186   <span class="keywordtype">double</span> pmag = axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#aa5f0390d0531f504b59bbb13de685328" title="Returns the magnitude of the power of ten for the tick labels.">getPMag</a>();
<a name="l00187"></a>00187   <span class="keywordtype">double</span> rmag = axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a91b53d98dc36d6f69d1670d4a2c9c6ab" title="Sets the magnitude of the range.">getRMag</a>();
<a name="l00188"></a>00188   <span class="keywordtype">double</span> first_tick = axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#ad75d6349899399e6ca07cb1103d86480" title="Returns the value for the first tick step.">getFirstTick</a>();
<a name="l00189"></a>00189   <span class="keywordtype">double</span> tick_step  = axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a4421f43d8e6dbd79ef9e5f863b2da21c" title="Returns the tick step in the true coordinate system.">getTickStep</a>();
<a name="l00190"></a>00190   <span class="keywordtype">double</span> scale_factor = axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#afbde1a57da2ad6bd8e170d77e36e64bb" title="Returns the scale factor.">getScaleFactor</a>();
<a name="l00191"></a>00191   <span class="keywordtype">double</span> max_ticks    = axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#aa9c4760aa8c522cbb7b7ae6dc826d27d" title="Returns the value for maximum number of ticks.">getMaxTicks</a>();
<a name="l00192"></a>00192     
<a name="l00193"></a>00193   <span class="comment">// pmag will get set to 0 if it is less than or equal to 3.  This</span>
<a name="l00194"></a>00194   <span class="comment">// is used later to determine scientific notation.  However, m_rmag</span>
<a name="l00195"></a>00195   <span class="comment">// is still needed as the original magnitude for calculations such</span>
<a name="l00196"></a>00196   <span class="comment">// as decimal place notation, and rounding to nice numbers.</span>
<a name="l00197"></a>00197   
<a name="l00198"></a>00198   <span class="comment">//   if( fabs( m_pmag ) &lt;= 3.0 ) m_pmag = 0.0;</span>
<a name="l00199"></a>00199   <span class="keywordtype">bool</span> use_pmag = abs ( pmag ) &gt; 3.0;
<a name="l00200"></a>00200 
<a name="l00201"></a>00201   axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#ad4bbfdc145a8049e4e52db34d968fd78" title="Use to set the value of the member variable m_use_pmag.">setUsePMag</a> ( use_pmag );
<a name="l00202"></a>00202   
<a name="l00203"></a>00203   <span class="keywordtype">char</span> pstr[10];
<a name="l00204"></a>00204   <span class="keywordtype">char</span> labl[10];
<a name="l00205"></a>00205 
<a name="l00206"></a>00206   <span class="keywordtype">int</span> decimals = 0;
<a name="l00207"></a>00207 
<a name="l00208"></a>00208   <span class="comment">// The following if-else block decides the pstr string, which holds</span>
<a name="l00209"></a>00209   <span class="comment">// the number of decimal places in the label.</span>
<a name="l00210"></a>00210 
<a name="l00211"></a>00211   <span class="comment">//   if( fabs( m_pmag ) &gt; 3.0 ) {</span>
<a name="l00212"></a>00212   <span class="keywordflow">if</span> ( use_pmag ) {  
<a name="l00213"></a>00213     <span class="comment">// If we are greater than mag 3, we are showing scientific</span>
<a name="l00214"></a>00214     <span class="comment">// notation.  How many decimals we show is determined by the</span>
<a name="l00215"></a>00215     <span class="comment">// difference between the range magnitude and the power magnitude.</span>
<a name="l00216"></a>00216   
<a name="l00217"></a>00217     decimals = <span class="keyword">static_cast&lt;</span><span class="keywordtype">int</span><span class="keyword">&gt;</span>( pmag - rmag );
<a name="l00218"></a>00218     <span class="comment">// minumum 1 decimal in scientific notation</span>
<a name="l00219"></a>00219     
<a name="l00220"></a>00220     <span class="keywordflow">if</span>( !decimals ) decimals++;
<a name="l00221"></a>00221   
<a name="l00222"></a>00222   } <span class="keywordflow">else</span> {
<a name="l00223"></a>00223     
<a name="l00224"></a>00224     <span class="keywordflow">if</span>( rmag &gt; 0.0 ){
<a name="l00225"></a>00225     
<a name="l00226"></a>00226       <span class="comment">// If we are less than mag 3 and positive, then no decimal</span>
<a name="l00227"></a>00227       <span class="comment">// accuracy is needed.</span>
<a name="l00228"></a>00228       
<a name="l00229"></a>00229       decimals = 0;
<a name="l00230"></a>00230       
<a name="l00231"></a>00231     } <span class="keywordflow">else</span> {
<a name="l00232"></a>00232     
<a name="l00233"></a>00233       <span class="comment">// If we are less than mag 3 and negative, then we are suddenly</span>
<a name="l00234"></a>00234       <span class="comment">// looking at decimal numbers not in scientific notation.</span>
<a name="l00235"></a>00235       <span class="comment">// Therefore we hold as many decimal places as the magnitude.</span>
<a name="l00236"></a>00236       
<a name="l00237"></a>00237       decimals = <span class="keyword">static_cast&lt;</span><span class="keywordtype">int</span><span class="keyword">&gt;</span>( abs( rmag ) );
<a name="l00238"></a>00238       
<a name="l00239"></a>00239     }
<a name="l00240"></a>00240   
<a name="l00241"></a>00241   }
<a name="l00242"></a>00242   <span class="comment">// @todo decimals should never be negative here, but it does end up</span>
<a name="l00243"></a>00243   <span class="comment">//    negative in some cases. See the &quot;dirty fix&quot; in Range.cxx, that</span>
<a name="l00244"></a>00244   <span class="comment">//    dirty-fixed this problem too. But a better fix is needed. </span>
<a name="l00245"></a>00245   <span class="keywordflow">if</span> (decimals &lt; 0) {
<a name="l00246"></a>00246     decimals = 0;
<a name="l00247"></a>00247   }
<a name="l00248"></a>00248   
<a name="l00249"></a>00249   sprintf( pstr, <span class="stringliteral">&quot;%%1.%df&quot;</span>, decimals );
<a name="l00250"></a>00250 
<a name="l00251"></a>00251   y = first_tick;
<a name="l00252"></a>00252   <span class="keyword">const</span> <a class="code" href="classhippodraw_1_1Range.html" title="Expresses a range of values.">Range</a> &amp; range = axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a47adba99d1bb0dd9eb9800f931feb672" title="Returns the range represented by this AxisModel.">getRange</a>(<span class="keyword">false</span>);
<a name="l00253"></a>00253   <span class="keywordtype">double</span> range_high = range.<a class="code" href="classhippodraw_1_1Range.html#a10f7231db7f0fe0855fc344e98575714" title="Returns the maximum of the range object.">high</a>();
<a name="l00254"></a>00254   range_high *= scale_factor;
<a name="l00255"></a>00255   range_high += 100. * DBL_EPSILON;
<a name="l00256"></a>00256 
<a name="l00257"></a>00257  <span class="comment">// while( y &lt;= range_high || FLT_EQUAL( range_high, y ) ) {</span>
<a name="l00258"></a>00258   <span class="keywordflow">while</span>( y &lt;= range_high ) {
<a name="l00259"></a>00259   
<a name="l00260"></a>00260     <span class="keywordflow">if</span>( num_ticks &gt;= max_ticks ) {
<a name="l00261"></a>00261     
<a name="l00262"></a>00262       <span class="comment">// HERE So far, this has only occurred for empty histograms. The</span>
<a name="l00263"></a>00263       <span class="comment">//easy fix was to do nothing, but there ought to be a better</span>
<a name="l00264"></a>00264       <span class="comment">// way to handle this.</span>
<a name="l00265"></a>00265       
<a name="l00266"></a>00266       <span class="keywordflow">return</span> <a class="code" href="classhippodraw_1_1LinearTransform.html#afb83347aa94ee29360b10d085dba3e02" title="The ticks generated by this transform.">m_ticks</a>;
<a name="l00267"></a>00267     
<a name="l00268"></a>00268     }
<a name="l00269"></a>00269 
<a name="l00270"></a>00270     <span class="comment">// The following expression is used to round to the nearest nice</span>
<a name="l00271"></a>00271     <span class="comment">// number, and then return to the original magnitude.</span>
<a name="l00272"></a>00272     
<a name="l00273"></a>00273     <span class="keywordtype">double</span> value = floor( y / pow( 10.0, rmag ) + 0.5 ) *
<a name="l00274"></a>00274       pow( 10.0, rmag );
<a name="l00275"></a>00275 
<a name="l00276"></a>00276     <span class="comment">// Now that the number is nice, we either keep the original magnitude</span>
<a name="l00277"></a>00277     <span class="comment">// or reduce it in order to express it in scientific notation.</span>
<a name="l00278"></a>00278     
<a name="l00279"></a>00279     <span class="keywordflow">if</span> ( use_pmag )  ylabel = value / pow( 10.0, pmag );
<a name="l00280"></a>00280     <span class="keywordflow">else</span> ylabel = value;
<a name="l00281"></a>00281 
<a name="l00282"></a>00282     value /= scale_factor;
<a name="l00283"></a>00283     sprintf( labl, pstr, ylabel );
<a name="l00284"></a>00284     <a class="code" href="classhippodraw_1_1LinearTransform.html#afb83347aa94ee29360b10d085dba3e02" title="The ticks generated by this transform.">m_ticks</a>.push_back( <a class="code" href="classhippodraw_1_1AxisTick.html" title="A class to maintain tick coordinates and string values.">AxisTick</a> ( value, labl ) );
<a name="l00285"></a>00285     
<a name="l00286"></a>00286     num_ticks++;
<a name="l00287"></a>00287     y += tick_step;
<a name="l00288"></a>00288   
<a name="l00289"></a>00289   }
<a name="l00290"></a>00290 
<a name="l00291"></a>00291   <span class="keywordflow">return</span> <a class="code" href="classhippodraw_1_1LinearTransform.html#afb83347aa94ee29360b10d085dba3e02" title="The ticks generated by this transform.">m_ticks</a>;
<a name="l00292"></a>00292 }
<a name="l00293"></a>00293 
<a name="l00294"></a><a class="code" href="classhippodraw_1_1LinearTransform.html#ae2ab75931c7af475c0d558f24a9236db">00294</a> <span class="keyword">const</span> <a class="code" href="classhippodraw_1_1Range.html" title="Expresses a range of values.">Range</a> &amp; <a class="code" href="classhippodraw_1_1LinearTransform.html#ae2ab75931c7af475c0d558f24a9236db" title="Sets the range of given axis to be a new &amp;quot;nice&amp;quot; within the limits given...">LinearTransform::adjustValues</a> ( <a class="code" href="classhippodraw_1_1AxisModelBase.html" title="The AxisModelBase class maintains the Range and scaling of an axis.">AxisModelBase</a> &amp; axis,
<a name="l00295"></a>00295                                               <span class="keyword">const</span> <a class="code" href="classhippodraw_1_1Range.html" title="Expresses a range of values.">Range</a> &amp; limit )
<a name="l00296"></a>00296 {
<a name="l00297"></a>00297   <span class="comment">//Because the low value, the high value, and the length value of the</span>
<a name="l00298"></a>00298   <span class="comment">//range were so frequently used, I added those three fields. There </span>
<a name="l00299"></a>00299   <span class="comment">//should be an improvement in performance.</span>
<a name="l00300"></a>00300   <span class="keywordtype">double</span> mylow, myhigh;
<a name="l00301"></a>00301   
<a name="l00302"></a>00302   <span class="comment">//The use of a step field and of a mag field will be explained when</span>
<a name="l00303"></a>00303   <span class="comment">//they are first initialized.</span>
<a name="l00304"></a>00304   <span class="keywordtype">double</span> step, magnitude;
<a name="l00305"></a>00305   
<a name="l00306"></a>00306   <span class="keyword">const</span> <span class="keywordtype">int</span> N_NICE = 6;
<a name="l00307"></a>00307 <span class="preprocessor">#ifndef __STDC__</span>
<a name="l00308"></a>00308 <span class="preprocessor"></span>  <span class="keyword">static</span>
<a name="l00309"></a>00309 <span class="preprocessor">#endif</span>
<a name="l00310"></a>00310 <span class="preprocessor"></span>    <span class="keywordtype">float</span> nice[N_NICE] = { 1.0, 2.0, 2.5,
<a name="l00311"></a>00311                            4.0, 5.0, 7.5 };
<a name="l00312"></a>00312 
<a name="l00313"></a>00313   <span class="keyword">const</span> <a class="code" href="classhippodraw_1_1Range.html" title="Expresses a range of values.">Range</a> &amp; init_range = axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a47adba99d1bb0dd9eb9800f931feb672" title="Returns the range represented by this AxisModel.">getRange</a> ( <span class="keyword">false</span> );
<a name="l00314"></a>00314   <span class="keywordtype">double</span> low = init_range.<a class="code" href="classhippodraw_1_1Range.html#a3865c37c86de4e4eafc43b6b40ef05b9" title="Returns the minimum of the range object.">low</a> ();
<a name="l00315"></a>00315   <span class="keywordtype">double</span> high = init_range.<a class="code" href="classhippodraw_1_1Range.html#a10f7231db7f0fe0855fc344e98575714" title="Returns the maximum of the range object.">high</a> ();
<a name="l00316"></a>00316 
<a name="l00317"></a>00317   <span class="keywordflow">if</span> ( ( high - low ) &lt; 10.* DBL_MIN  ) {  <span class="comment">// all values in same bin</span>
<a name="l00318"></a>00318     <span class="keywordflow">if</span> ( low &gt; 0.0 ) low *= 0.95;
<a name="l00319"></a>00319     <span class="keywordflow">else</span>  low *= 1.05;
<a name="l00320"></a>00320 
<a name="l00321"></a>00321     <span class="keywordflow">if</span> ( low == 0. ) { <span class="comment">// special case</span>
<a name="l00322"></a>00322       high = low + 1000. * FLT_EPSILON; <span class="comment">// large enough so tick algo works</span>
<a name="l00323"></a>00323     }
<a name="l00324"></a>00324     <span class="keywordflow">else</span> {
<a name="l00325"></a>00325       <span class="keywordflow">if</span> ( high &gt; 0.) high *= 1.05;
<a name="l00326"></a>00326       <span class="keywordflow">else</span> high *= 0.95;
<a name="l00327"></a>00327     }
<a name="l00328"></a>00328 
<a name="l00329"></a>00329     axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#addffd7d4904f8f6261dae4e2cb51b734" title="Sets the Range to the low and high values.">setRange</a> ( low, high, low );
<a name="l00330"></a>00330   }  
<a name="l00331"></a>00331   <span class="keywordtype">double</span> range_length;
<a name="l00332"></a>00332   
<a name="l00333"></a>00333   <span class="keywordtype">int</span> i;
<a name="l00334"></a>00334   
<a name="l00335"></a>00335   <span class="comment">// This increases myhigh so that &quot;myrange&quot; covers the whole range</span>
<a name="l00336"></a>00336   <span class="comment">// and then some.</span>
<a name="l00337"></a>00337 
<a name="l00338"></a>00338   mylow  = low  - 0.05*(high-low);
<a name="l00339"></a>00339   myhigh = high + 0.05*(high-low);
<a name="l00340"></a>00340 
<a name="l00341"></a>00341   range_length = myhigh - mylow;
<a name="l00342"></a>00342 
<a name="l00343"></a>00343   <span class="comment">// We have now decided on a range.  This tries to move low/high a</span>
<a name="l00344"></a>00344   <span class="comment">// little to end up on a nice number.</span>
<a name="l00345"></a>00345 
<a name="l00346"></a>00346   <span class="comment">// First checks if either end is near 0.0</span>
<a name="l00347"></a>00347   <span class="keywordflow">if</span>( low &gt;= 0.0 &amp;&amp; range_length &gt; ( 1.05 * high ) ) {
<a name="l00348"></a>00348     <a class="code" href="classhippodraw_1_1Range.html" title="Expresses a range of values.">Range</a> range ( 0.0, range_length );
<a name="l00349"></a>00349     axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a175253bfecf26b89ced34342b0f2a4b2" title="Sets the Range to overlap of the two ranges.">setIntersectRange</a> ( range, limit );
<a name="l00350"></a>00350     <span class="keywordflow">return</span> axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a47adba99d1bb0dd9eb9800f931feb672" title="Returns the range represented by this AxisModel.">getRange</a>( <span class="keyword">false</span> );
<a name="l00351"></a>00351   }
<a name="l00352"></a>00352   <span class="keywordflow">if</span>( high &lt;= 0.0 &amp;&amp; -range_length &lt; ( 1.05 * low ) ) {
<a name="l00353"></a>00353     <a class="code" href="classhippodraw_1_1Range.html" title="Expresses a range of values.">Range</a> range ( -range_length, 0.0 );
<a name="l00354"></a>00354     axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a175253bfecf26b89ced34342b0f2a4b2" title="Sets the Range to overlap of the two ranges.">setIntersectRange</a> ( range, limit );
<a name="l00355"></a>00355     <span class="keywordflow">return</span> axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a47adba99d1bb0dd9eb9800f931feb672" title="Returns the range represented by this AxisModel.">getRange</a>( <span class="keyword">false</span> );
<a name="l00356"></a>00356   }
<a name="l00357"></a>00357 
<a name="l00358"></a>00358   <span class="comment">// magnitude is used to hold the magnitude of the high or low values.</span>
<a name="l00359"></a>00359 
<a name="l00360"></a>00360   i = N_NICE - 1;
<a name="l00361"></a>00361   <span class="keywordflow">if</span>( myhigh != 0.0 )
<a name="l00362"></a>00362     magnitude = ceil( log10( fabs( myhigh ) ) );
<a name="l00363"></a>00363   <span class="keywordflow">else</span>
<a name="l00364"></a>00364     magnitude = ceil( log10( fabs( mylow ) ) );
<a name="l00365"></a>00365   
<a name="l00366"></a>00366   <span class="comment">// What this part does is go through the low, giving it round</span>
<a name="l00367"></a>00367   <span class="comment">// numbers first, but more coarse over time.</span>
<a name="l00368"></a>00368 
<a name="l00369"></a>00369   <span class="keywordflow">do</span> {
<a name="l00370"></a>00370     step = nice[i] * pow( 10.0, magnitude );
<a name="l00371"></a>00371     mylow = floor( low / step ) * step;
<a name="l00372"></a>00372     myhigh = mylow + 1.05 * range_length;
<a name="l00373"></a>00373     i--;
<a name="l00374"></a>00374     <span class="keywordflow">if</span>( i &lt; 0 ) {
<a name="l00375"></a>00375       i = N_NICE - 1;
<a name="l00376"></a>00376       magnitude--;
<a name="l00377"></a>00377     }
<a name="l00378"></a>00378   } <span class="keywordflow">while</span>( myhigh &lt; high );
<a name="l00379"></a>00379 
<a name="l00380"></a>00380   <a class="code" href="classhippodraw_1_1Range.html" title="Expresses a range of values.">Range</a> range ( mylow, myhigh, init_range.<a class="code" href="classhippodraw_1_1Range.html#a4b02f1648e2efd2c179f8398b350285b" title="Returns the first positive element in range.">pos</a>() );  
<a name="l00381"></a>00381 
<a name="l00382"></a>00382   axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a175253bfecf26b89ced34342b0f2a4b2" title="Sets the Range to overlap of the two ranges.">setIntersectRange</a> ( range, limit );
<a name="l00383"></a>00383 
<a name="l00384"></a>00384   <span class="keywordflow">return</span> axis.<a class="code" href="classhippodraw_1_1AxisModelBase.html#a47adba99d1bb0dd9eb9800f931feb672" title="Returns the range represented by this AxisModel.">getRange</a>( <span class="keyword">false</span> );
<a name="l00385"></a>00385 }
<a name="l00386"></a>00386 
<a name="l00387"></a>00387 } <span class="comment">// namespace hippodraw</span>
<a name="l00388"></a>00388 
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