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65<h1>log_exp.h</h1><a href="log__exp_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001
66<a name="l00029"></a>00029 <span class="preprocessor">#ifndef LOG_EXP_H</span>
67<a name="l00030"></a>00030 <span class="preprocessor"></span><span class="preprocessor">#define LOG_EXP_H</span>
68<a name="l00031"></a>00031 <span class="preprocessor"></span>
69<a name="l00032"></a>00032 <span class="preprocessor">#include &lt;<a class="code" href="itcompat_8h.html" title="IT++ compatibility types and functions.">itpp/base/itcompat.h</a>&gt;</span>
70<a name="l00033"></a>00033 <span class="preprocessor">#include &lt;<a class="code" href="help__functions_8h.html" title="Help functions to make functions with vec and mat as arguments.">itpp/base/help_functions.h</a>&gt;</span>
71<a name="l00034"></a>00034
72<a name="l00035"></a>00035
73<a name="l00036"></a>00036 <span class="keyword">namespace </span>itpp
74<a name="l00037"></a>00037 {
75<a name="l00038"></a>00038
76<a name="l00041"></a>00041
77<a name="l00042"></a>00042 <span class="comment">// ----------------------------------------------------------------------</span>
78<a name="l00043"></a>00043 <span class="comment">// scalar functions</span>
79<a name="l00044"></a>00044 <span class="comment">// ----------------------------------------------------------------------</span>
80<a name="l00045"></a>00045
81<a name="l00047"></a><a class="code" href="group__logexpfunc.html#g5275297e979272e5102fa31f0fc782b4">00047</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group__logexpfunc.html#g913e6b2c337604c5ca8991c020a5ab80" title="log-b of x ">logb</a>(<span class="keywordtype">double</span> b, <span class="keywordtype">double</span> x)
82<a name="l00048"></a>00048 {
83<a name="l00049"></a>00049   <span class="keywordflow">return</span> (<a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">std::log</a>(x) / <a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">std::log</a>(b));
84<a name="l00050"></a>00050 }
85<a name="l00051"></a>00051
86<a name="l00053"></a><a class="code" href="group__logexpfunc.html#g44da7c49dc0f990f661404a47e2bf9be">00053</a> <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="group__logexpfunc.html#g44da7c49dc0f990f661404a47e2bf9be" title="Calculate two to the power of x (2^x); x is integer.">pow2i</a>(<span class="keywordtype">int</span> x) { <span class="keywordflow">return</span> ((x &lt; 0) ? 0 : (1 &lt;&lt; x)); }
87<a name="l00055"></a><a class="code" href="group__logexpfunc.html#g84ee8bfb44de3c26fdcb756ecb21d9e9">00055</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group__logexpfunc.html#g0035dfbd1fcffdb28cadacba42ad8996" title="Calculates two to the power of x (2^x).">pow2</a>(<span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code" href="group__logexpfunc.html#g40f48a75172e7f8bc8e58ed54262a04d" title="Calculates x to the power of y (x^y).">pow</a>(2.0, x); }
88<a name="l00056"></a>00056
89<a name="l00058"></a><a class="code" href="group__logexpfunc.html#gc5653517728e4837a91131655b4a18da">00058</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group__logexpfunc.html#g4f390e0a4e938e7d9b98613ad66bdf1c" title="Calculates ten to the power of x (10^x).">pow10</a>(<span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code" href="group__logexpfunc.html#g40f48a75172e7f8bc8e58ed54262a04d" title="Calculates x to the power of y (x^y).">pow</a>(10.0, x); }
90<a name="l00059"></a>00059
91<a name="l00061"></a><a class="code" href="group__logexpfunc.html#g5c448e69f3678181e108e1caead5c28b">00061</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group__logexpfunc.html#g03bd0214373c9505ef89b8886746e189" title="Calculates 10*log10(x).">dB</a>(<span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> 10.0 * <a class="code" href="group__logexpfunc.html#gd24b6c9440eaf8851f2a3173df42a19e" title="log-10 of the elements">log10</a>(x); }
92<a name="l00063"></a><a class="code" href="group__logexpfunc.html#g9a4a3d1188d2ec6a6815c237bd3ab2cc">00063</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group__logexpfunc.html#g5b4a5173187ffcd178523d63253bb312" title="Calculates the inverse of dB, 10^(x/10).">inv_dB</a>(<span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code" href="group__logexpfunc.html#g40f48a75172e7f8bc8e58ed54262a04d" title="Calculates x to the power of y (x^y).">pow</a>(10.0, 0.1 * x); }
93<a name="l00064"></a>00064
94<a name="l00066"></a><a class="code" href="group__logexpfunc.html#g70cf103d3f9443eb852db037115cd709">00066</a> <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="group__logexpfunc.html#gdf1b40ed813a44d3ae68bbbae84b45c6" title="Calculate the number of bits needed to represent each inteager in a vector.">int2bits</a>(<span class="keywordtype">int</span> n)
95<a name="l00067"></a>00067 {
96<a name="l00068"></a>00068   <a class="code" href="group__errorhandlingfunc.html#gd5c34b291e5018534fd2344486e2b5a1" title="Abort if t is not true.">it_assert</a>(n &gt;= 0, <span class="stringliteral">"int2bits(): Improper argument value"</span>);
97<a name="l00069"></a>00069
98<a name="l00070"></a>00070   <span class="keywordflow">if</span> (n == 0)
99<a name="l00071"></a>00071     <span class="keywordflow">return</span> 1;
100<a name="l00072"></a>00072
101<a name="l00073"></a>00073   <span class="keywordtype">int</span> b = 0;
102<a name="l00074"></a>00074   <span class="keywordflow">while</span> (n) {
103<a name="l00075"></a>00075     n &gt;&gt;= 1;
104<a name="l00076"></a>00076     ++b;
105<a name="l00077"></a>00077   }
106<a name="l00078"></a>00078   <span class="keywordflow">return</span> b;
107<a name="l00079"></a>00079 }
108<a name="l00080"></a>00080
109<a name="l00082"></a><a class="code" href="group__logexpfunc.html#gef5f3fac5ff2afee6458ea7901323c61">00082</a> <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="group__logexpfunc.html#g4a774bd5418520f574eddf730333dada" title="Calculate the number of bits needed to represent a numer of levels saved in a vector...">levels2bits</a>(<span class="keywordtype">int</span> n)
110<a name="l00083"></a>00083 {
111<a name="l00084"></a>00084   <a class="code" href="group__errorhandlingfunc.html#gd5c34b291e5018534fd2344486e2b5a1" title="Abort if t is not true.">it_assert</a>(n &gt; 0, <span class="stringliteral">"levels2bits(): Improper argument value"</span>);
112<a name="l00085"></a>00085   <span class="keywordflow">return</span> <a class="code" href="group__logexpfunc.html#gdf1b40ed813a44d3ae68bbbae84b45c6" title="Calculate the number of bits needed to represent each inteager in a vector.">int2bits</a>(--n);
113<a name="l00086"></a>00086 }
114<a name="l00087"></a>00087
115<a name="l00089"></a><a class="code" href="group__logexpfunc.html#g88c6cb15374a05289feecb35fdcd20f3">00089</a> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="group__logexpfunc.html#g88c6cb15374a05289feecb35fdcd20f3" title="Constant definition to speed up trunc_log() and trunc_exp().">log_double_max</a> = <a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">std::log</a>(<a class="code" href="group__protocol.html#g3e4e78a5230c444344a135c661163ef2" title="ADD DOCUMENTATION HERE.">std::numeric_limits&lt;double&gt;::max</a>());
116<a name="l00091"></a><a class="code" href="group__logexpfunc.html#g7df3364a77d620d852c447b91dab2c77">00091</a> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="group__logexpfunc.html#g7df3364a77d620d852c447b91dab2c77" title="Constant definition to speed up trunc_log(), trunc_exp() and log_add().">log_double_min</a> = <a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">std::log</a>(<a class="code" href="group__protocol.html#g27dde5be5aac902c0de838b4b872cd2f" title="ADD DOCUMENTATION HERE.">std::numeric_limits&lt;double&gt;::min</a>());
117<a name="l00092"></a>00092
118<a name="l00105"></a><a class="code" href="group__logexpfunc.html#g02907e0ed7d04cde3a43e2a9d00c24c0">00105</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group__logexpfunc.html#g02907e0ed7d04cde3a43e2a9d00c24c0" title="Truncated natural logarithm function.">trunc_log</a>(<span class="keywordtype">double</span> x)
119<a name="l00106"></a>00106 {
120<a name="l00107"></a>00107   <span class="keywordflow">if</span> (std::numeric_limits&lt;double&gt;::is_iec559) {
121<a name="l00108"></a>00108     <span class="keywordflow">if</span> (x == std::numeric_limits&lt;double&gt;::infinity())
122<a name="l00109"></a>00109       <span class="keywordflow">return</span> <a class="code" href="group__logexpfunc.html#g88c6cb15374a05289feecb35fdcd20f3" title="Constant definition to speed up trunc_log() and trunc_exp().">log_double_max</a>;
123<a name="l00110"></a>00110     <span class="keywordflow">if</span> (x &lt;= 0)
124<a name="l00111"></a>00111       <span class="keywordflow">return</span> <a class="code" href="group__logexpfunc.html#g7df3364a77d620d852c447b91dab2c77" title="Constant definition to speed up trunc_log(), trunc_exp() and log_add().">log_double_min</a>;
125<a name="l00112"></a>00112   }
126<a name="l00113"></a>00113   <span class="keywordflow">return</span> <a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">std::log</a>(x);
127<a name="l00114"></a>00114 }
128<a name="l00115"></a>00115
129<a name="l00127"></a><a class="code" href="group__logexpfunc.html#ga62c8362aeeb68ba0fc65c99267bd1fd">00127</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group__logexpfunc.html#ga62c8362aeeb68ba0fc65c99267bd1fd" title="Truncated exponential function.">trunc_exp</a>(<span class="keywordtype">double</span> x)
130<a name="l00128"></a>00128 {
131<a name="l00129"></a>00129   <span class="keywordflow">if</span> (std::numeric_limits&lt;double&gt;::is_iec559
132<a name="l00130"></a>00130       &amp;&amp; (x &gt;= <a class="code" href="group__logexpfunc.html#g88c6cb15374a05289feecb35fdcd20f3" title="Constant definition to speed up trunc_log() and trunc_exp().">log_double_max</a>))
133<a name="l00131"></a>00131     <span class="keywordflow">return</span> <a class="code" href="group__protocol.html#g3e4e78a5230c444344a135c661163ef2" title="ADD DOCUMENTATION HERE.">std::numeric_limits&lt;double&gt;::max</a>();
134<a name="l00132"></a>00132   <span class="keywordflow">return</span> <a class="code" href="group__logexpfunc.html#g7a3da29d4e6a8c814237453086793335" title="Exp of the elements of a complex matrix m.">std::exp</a>(x);
135<a name="l00133"></a>00133 }
136<a name="l00134"></a>00134
137<a name="l00135"></a>00135
138<a name="l00137"></a><a class="code" href="group__logexpfunc.html#g1b295e7695ab2a3290bfadb26a149304">00137</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group__logexpfunc.html#g1b295e7695ab2a3290bfadb26a149304" title="Safe substitute for log(exp(log_a) + exp(log_b)).">log_add</a>(<span class="keywordtype">double</span> log_a, <span class="keywordtype">double</span> log_b)
139<a name="l00138"></a>00138 {
140<a name="l00139"></a>00139   <span class="keywordflow">if</span> (log_a &lt; log_b) {
141<a name="l00140"></a>00140     <span class="keywordtype">double</span> tmp = log_a;
142<a name="l00141"></a>00141     log_a = log_b;
143<a name="l00142"></a>00142     log_b = tmp;
144<a name="l00143"></a>00143   }
145<a name="l00144"></a>00144   <span class="keywordtype">double</span> negdelta = log_b - log_a;
146<a name="l00145"></a>00145   <span class="keywordflow">if</span> ((negdelta &lt; <a class="code" href="group__logexpfunc.html#g7df3364a77d620d852c447b91dab2c77" title="Constant definition to speed up trunc_log(), trunc_exp() and log_add().">log_double_min</a>) || std::isnan(negdelta))
147<a name="l00146"></a>00146     <span class="keywordflow">return</span> log_a;
148<a name="l00147"></a>00147   <span class="keywordflow">else</span>
149<a name="l00148"></a>00148     <span class="keywordflow">return</span> (log_a + log1p(<a class="code" href="group__logexpfunc.html#g7a3da29d4e6a8c814237453086793335" title="Exp of the elements of a complex matrix m.">std::exp</a>(negdelta)));
150<a name="l00149"></a>00149 }
151<a name="l00150"></a>00150
152<a name="l00151"></a>00151
153<a name="l00152"></a>00152 <span class="comment">// ----------------------------------------------------------------------</span>
154<a name="l00153"></a>00153 <span class="comment">// functions on vectors and matrices</span>
155<a name="l00154"></a>00154 <span class="comment">// ----------------------------------------------------------------------</span>
156<a name="l00155"></a>00155
157<a name="l00157"></a><a class="code" href="group__logexpfunc.html#gc1495ce5d82dc54376a5550ccc76df7a">00157</a> <span class="keyword">inline</span> vec <a class="code" href="group__logexpfunc.html#g7a3da29d4e6a8c814237453086793335" title="Exp of the elements of a complex matrix m.">exp</a>(<span class="keyword">const</span> vec &amp;x)
158<a name="l00158"></a>00158 {
159<a name="l00159"></a>00159   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g7a3da29d4e6a8c814237453086793335" title="Exp of the elements of a complex matrix m.">std::exp</a>, x);
160<a name="l00160"></a>00160 }
161<a name="l00162"></a><a class="code" href="group__logexpfunc.html#gd4f099ec6f7ad0489d088d815247829c">00162</a> <span class="keyword">inline</span> cvec <a class="code" href="group__logexpfunc.html#g7a3da29d4e6a8c814237453086793335" title="Exp of the elements of a complex matrix m.">exp</a>(<span class="keyword">const</span> cvec &amp;x)
162<a name="l00163"></a>00163 {
163<a name="l00164"></a>00164   <span class="keywordflow">return</span> apply_function&lt;std::complex&lt;double&gt; &gt;(<a class="code" href="group__logexpfunc.html#g7a3da29d4e6a8c814237453086793335" title="Exp of the elements of a complex matrix m.">std::exp</a>, x);
164<a name="l00165"></a>00165 }
165<a name="l00167"></a><a class="code" href="group__logexpfunc.html#g42899b4c00b0b5e703ac8dfe04b18ac1">00167</a> <span class="keyword">inline</span> mat <a class="code" href="group__logexpfunc.html#g7a3da29d4e6a8c814237453086793335" title="Exp of the elements of a complex matrix m.">exp</a>(<span class="keyword">const</span> mat &amp;m)
166<a name="l00168"></a>00168 {
167<a name="l00169"></a>00169   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g7a3da29d4e6a8c814237453086793335" title="Exp of the elements of a complex matrix m.">std::exp</a>, m);
168<a name="l00170"></a>00170 }
169<a name="l00172"></a><a class="code" href="group__logexpfunc.html#g7a3da29d4e6a8c814237453086793335">00172</a> <span class="keyword">inline</span> cmat <a class="code" href="group__logexpfunc.html#g7a3da29d4e6a8c814237453086793335" title="Exp of the elements of a complex matrix m.">exp</a>(<span class="keyword">const</span> cmat &amp;m)
170<a name="l00173"></a>00173 {
171<a name="l00174"></a>00174   <span class="keywordflow">return</span> apply_function&lt;std::complex&lt;double&gt; &gt;(<a class="code" href="group__logexpfunc.html#g7a3da29d4e6a8c814237453086793335" title="Exp of the elements of a complex matrix m.">std::exp</a>, m);
172<a name="l00175"></a>00175 }
173<a name="l00176"></a>00176
174<a name="l00178"></a><a class="code" href="group__logexpfunc.html#g0c42d158b1f623f9b72c1ccde7e2fd09">00178</a> <span class="keyword">inline</span> vec <a class="code" href="group__logexpfunc.html#g40f48a75172e7f8bc8e58ed54262a04d" title="Calculates x to the power of y (x^y).">pow</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x, <span class="keyword">const</span> vec &amp;y)
175<a name="l00179"></a>00179 {
176<a name="l00180"></a>00180   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g40f48a75172e7f8bc8e58ed54262a04d" title="Calculates x to the power of y (x^y).">std::pow</a>, x, y);
177<a name="l00181"></a>00181 }
178<a name="l00183"></a><a class="code" href="group__logexpfunc.html#g0c153229b93549e8a6449327a92c934f">00183</a> <span class="keyword">inline</span> mat <a class="code" href="group__logexpfunc.html#g40f48a75172e7f8bc8e58ed54262a04d" title="Calculates x to the power of y (x^y).">pow</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x, <span class="keyword">const</span> mat &amp;y)
179<a name="l00184"></a>00184 {
180<a name="l00185"></a>00185   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g40f48a75172e7f8bc8e58ed54262a04d" title="Calculates x to the power of y (x^y).">std::pow</a>, x, y);
181<a name="l00186"></a>00186 }
182<a name="l00188"></a><a class="code" href="group__logexpfunc.html#g9bd8947c2d1056f05812670491668241">00188</a> <span class="keyword">inline</span> vec <a class="code" href="group__logexpfunc.html#g40f48a75172e7f8bc8e58ed54262a04d" title="Calculates x to the power of y (x^y).">pow</a>(<span class="keyword">const</span> vec &amp;x, <span class="keyword">const</span> <span class="keywordtype">double</span> y)
183<a name="l00189"></a>00189 {
184<a name="l00190"></a>00190   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g40f48a75172e7f8bc8e58ed54262a04d" title="Calculates x to the power of y (x^y).">std::pow</a>, x, y);
185<a name="l00191"></a>00191 }
186<a name="l00193"></a><a class="code" href="group__logexpfunc.html#g40f48a75172e7f8bc8e58ed54262a04d">00193</a> <span class="keyword">inline</span> mat <a class="code" href="group__logexpfunc.html#g40f48a75172e7f8bc8e58ed54262a04d" title="Calculates x to the power of y (x^y).">pow</a>(<span class="keyword">const</span> mat &amp;x, <span class="keyword">const</span> <span class="keywordtype">double</span> y)
187<a name="l00194"></a>00194 {
188<a name="l00195"></a>00195   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g40f48a75172e7f8bc8e58ed54262a04d" title="Calculates x to the power of y (x^y).">std::pow</a>, x, y);
189<a name="l00196"></a>00196 }
190<a name="l00197"></a>00197
191<a name="l00199"></a><a class="code" href="group__logexpfunc.html#g054afa4559b8fa4e85e557273bdde7ac">00199</a> <span class="keyword">inline</span> vec <a class="code" href="group__logexpfunc.html#g0035dfbd1fcffdb28cadacba42ad8996" title="Calculates two to the power of x (2^x).">pow2</a>(<span class="keyword">const</span> vec &amp;x)
192<a name="l00200"></a>00200 {
193<a name="l00201"></a>00201   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g0035dfbd1fcffdb28cadacba42ad8996" title="Calculates two to the power of x (2^x).">pow2</a>, x);
194<a name="l00202"></a>00202 }
195<a name="l00204"></a><a class="code" href="group__logexpfunc.html#g0035dfbd1fcffdb28cadacba42ad8996">00204</a> <span class="keyword">inline</span> mat <a class="code" href="group__logexpfunc.html#g0035dfbd1fcffdb28cadacba42ad8996" title="Calculates two to the power of x (2^x).">pow2</a>(<span class="keyword">const</span> mat &amp;x)
196<a name="l00205"></a>00205 {
197<a name="l00206"></a>00206   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g0035dfbd1fcffdb28cadacba42ad8996" title="Calculates two to the power of x (2^x).">pow2</a>, x);
198<a name="l00207"></a>00207 }
199<a name="l00208"></a>00208
200<a name="l00210"></a><a class="code" href="group__logexpfunc.html#ge702eea92311fe090faebc2ec9501854">00210</a> <span class="keyword">inline</span> vec <a class="code" href="group__logexpfunc.html#g4f390e0a4e938e7d9b98613ad66bdf1c" title="Calculates ten to the power of x (10^x).">pow10</a>(<span class="keyword">const</span> vec &amp;x)
201<a name="l00211"></a>00211 {
202<a name="l00212"></a>00212   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g4f390e0a4e938e7d9b98613ad66bdf1c" title="Calculates ten to the power of x (10^x).">pow10</a>, x);
203<a name="l00213"></a>00213 }
204<a name="l00215"></a><a class="code" href="group__logexpfunc.html#g4f390e0a4e938e7d9b98613ad66bdf1c">00215</a> <span class="keyword">inline</span> mat <a class="code" href="group__logexpfunc.html#g4f390e0a4e938e7d9b98613ad66bdf1c" title="Calculates ten to the power of x (10^x).">pow10</a>(<span class="keyword">const</span> mat &amp;x)
205<a name="l00216"></a>00216 {
206<a name="l00217"></a>00217   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g4f390e0a4e938e7d9b98613ad66bdf1c" title="Calculates ten to the power of x (10^x).">pow10</a>, x);
207<a name="l00218"></a>00218 }
208<a name="l00219"></a>00219
209<a name="l00221"></a><a class="code" href="group__logexpfunc.html#g60e39caa21db1b5f9f6006cf7508fbcb">00221</a> <span class="keyword">inline</span> vec <a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">log</a>(<span class="keyword">const</span> vec &amp;x)
210<a name="l00222"></a>00222 {
211<a name="l00223"></a>00223   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">std::log</a>, x);
212<a name="l00224"></a>00224 }
213<a name="l00226"></a><a class="code" href="group__logexpfunc.html#g83350f223110246183d90254a7933c75">00226</a> <span class="keyword">inline</span> mat <a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">log</a>(<span class="keyword">const</span> mat &amp;x)
214<a name="l00227"></a>00227 {
215<a name="l00228"></a>00228   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">std::log</a>, x);
216<a name="l00229"></a>00229 }
217<a name="l00231"></a><a class="code" href="group__logexpfunc.html#gc4c7043d21d91e79409c75a732b14c3a">00231</a> <span class="keyword">inline</span> cvec <a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">log</a>(<span class="keyword">const</span> cvec &amp;x)
218<a name="l00232"></a>00232 {
219<a name="l00233"></a>00233   <span class="keywordflow">return</span> apply_function&lt;std::complex&lt;double&gt; &gt;(<a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">std::log</a>, x);
220<a name="l00234"></a>00234 }
221<a name="l00236"></a><a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566">00236</a> <span class="keyword">inline</span> cmat <a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">log</a>(<span class="keyword">const</span> cmat &amp;x)
222<a name="l00237"></a>00237 {
223<a name="l00238"></a>00238   <span class="keywordflow">return</span> apply_function&lt;std::complex&lt;double&gt; &gt;(<a class="code" href="group__logexpfunc.html#g320dc9f6d27a6cfe4e149633fd1ea566" title="The natural logarithm of the elements.">std::log</a>, x);
224<a name="l00239"></a>00239 }
225<a name="l00240"></a>00240
226<a name="l00242"></a><a class="code" href="group__logexpfunc.html#gbaf1eabe626389b5a4aca26b6ef0d86f">00242</a> <span class="keyword">inline</span> vec <a class="code" href="group__logexpfunc.html#gd50278d885a02a1448976186bb4ad5cd" title="log-2 of the elements">log2</a>(<span class="keyword">const</span> vec &amp;x)
227<a name="l00243"></a>00243 {
228<a name="l00244"></a>00244   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#gd50278d885a02a1448976186bb4ad5cd" title="log-2 of the elements">::log2</a>, x);
229<a name="l00245"></a>00245 }
230<a name="l00247"></a><a class="code" href="group__logexpfunc.html#gd50278d885a02a1448976186bb4ad5cd">00247</a> <span class="keyword">inline</span> mat <a class="code" href="group__logexpfunc.html#gd50278d885a02a1448976186bb4ad5cd" title="log-2 of the elements">log2</a>(<span class="keyword">const</span> mat &amp;x)
231<a name="l00248"></a>00248 {
232<a name="l00249"></a>00249   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#gd50278d885a02a1448976186bb4ad5cd" title="log-2 of the elements">::log2</a>, x);
233<a name="l00250"></a>00250 }
234<a name="l00251"></a>00251
235<a name="l00253"></a><a class="code" href="group__logexpfunc.html#gfc3c7f9e5088c92dff4b569bed1634a8">00253</a> <span class="keyword">inline</span> vec <a class="code" href="group__logexpfunc.html#gd24b6c9440eaf8851f2a3173df42a19e" title="log-10 of the elements">log10</a>(<span class="keyword">const</span> vec &amp;x)
236<a name="l00254"></a>00254 {
237<a name="l00255"></a>00255   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#gd24b6c9440eaf8851f2a3173df42a19e" title="log-10 of the elements">std::log10</a>, x);
238<a name="l00256"></a>00256 }
239<a name="l00258"></a><a class="code" href="group__logexpfunc.html#gd24b6c9440eaf8851f2a3173df42a19e">00258</a> <span class="keyword">inline</span> mat <a class="code" href="group__logexpfunc.html#gd24b6c9440eaf8851f2a3173df42a19e" title="log-10 of the elements">log10</a>(<span class="keyword">const</span> mat &amp;x)
240<a name="l00259"></a>00259 {
241<a name="l00260"></a>00260   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#gd24b6c9440eaf8851f2a3173df42a19e" title="log-10 of the elements">std::log10</a>, x);
242<a name="l00261"></a>00261 }
243<a name="l00262"></a>00262
244<a name="l00264"></a><a class="code" href="group__logexpfunc.html#gd0b12b1902cf38b354520884ac18429e">00264</a> <span class="keyword">inline</span> vec <a class="code" href="group__logexpfunc.html#g913e6b2c337604c5ca8991c020a5ab80" title="log-b of x ">logb</a>(<span class="keywordtype">double</span> b, <span class="keyword">const</span> vec &amp;x)
245<a name="l00265"></a>00265 {
246<a name="l00266"></a>00266   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g913e6b2c337604c5ca8991c020a5ab80" title="log-b of x ">itpp::logb</a>, b, x);
247<a name="l00267"></a>00267 }
248<a name="l00269"></a><a class="code" href="group__logexpfunc.html#g913e6b2c337604c5ca8991c020a5ab80">00269</a> <span class="keyword">inline</span> mat <a class="code" href="group__logexpfunc.html#g913e6b2c337604c5ca8991c020a5ab80" title="log-b of x ">logb</a>(<span class="keywordtype">double</span> b, <span class="keyword">const</span> mat &amp;x)
249<a name="l00270"></a>00270 {
250<a name="l00271"></a>00271   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g913e6b2c337604c5ca8991c020a5ab80" title="log-b of x ">itpp::logb</a>, b, x);
251<a name="l00272"></a>00272 }
252<a name="l00273"></a>00273
253<a name="l00275"></a><a class="code" href="group__logexpfunc.html#gf6a9b19ce9cb64c65199b3148b1b0469">00275</a> <span class="keyword">inline</span> vec <a class="code" href="group__logexpfunc.html#g03bd0214373c9505ef89b8886746e189" title="Calculates 10*log10(x).">dB</a>(<span class="keyword">const</span> vec &amp;x)
254<a name="l00276"></a>00276 {
255<a name="l00277"></a>00277   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g03bd0214373c9505ef89b8886746e189" title="Calculates 10*log10(x).">dB</a>, x);
256<a name="l00278"></a>00278 }
257<a name="l00280"></a><a class="code" href="group__logexpfunc.html#g03bd0214373c9505ef89b8886746e189">00280</a> <span class="keyword">inline</span> mat <a class="code" href="group__logexpfunc.html#g03bd0214373c9505ef89b8886746e189" title="Calculates 10*log10(x).">dB</a>(<span class="keyword">const</span> mat &amp;x)
258<a name="l00281"></a>00281 {
259<a name="l00282"></a>00282   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g03bd0214373c9505ef89b8886746e189" title="Calculates 10*log10(x).">dB</a>, x);
260<a name="l00283"></a>00283 }
261<a name="l00284"></a>00284
262<a name="l00286"></a><a class="code" href="group__logexpfunc.html#g250b6ec368bc12844492285a7bb6ed94">00286</a> <span class="keyword">inline</span> vec <a class="code" href="group__logexpfunc.html#g5b4a5173187ffcd178523d63253bb312" title="Calculates the inverse of dB, 10^(x/10).">inv_dB</a>(<span class="keyword">const</span> vec &amp;x)
263<a name="l00287"></a>00287 {
264<a name="l00288"></a>00288   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g5b4a5173187ffcd178523d63253bb312" title="Calculates the inverse of dB, 10^(x/10).">inv_dB</a>, x);
265<a name="l00289"></a>00289 }
266<a name="l00291"></a><a class="code" href="group__logexpfunc.html#g5b4a5173187ffcd178523d63253bb312">00291</a> <span class="keyword">inline</span> mat <a class="code" href="group__logexpfunc.html#g5b4a5173187ffcd178523d63253bb312" title="Calculates the inverse of dB, 10^(x/10).">inv_dB</a>(<span class="keyword">const</span> mat &amp;x)
267<a name="l00292"></a>00292 {
268<a name="l00293"></a>00293   <span class="keywordflow">return</span> apply_function&lt;double&gt;(<a class="code" href="group__logexpfunc.html#g5b4a5173187ffcd178523d63253bb312" title="Calculates the inverse of dB, 10^(x/10).">inv_dB</a>, x);
269<a name="l00294"></a>00294 }
270<a name="l00295"></a>00295
271<a name="l00297"></a><a class="code" href="group__logexpfunc.html#gdf1b40ed813a44d3ae68bbbae84b45c6">00297</a> <span class="keyword">inline</span> ivec <a class="code" href="group__logexpfunc.html#gdf1b40ed813a44d3ae68bbbae84b45c6" title="Calculate the number of bits needed to represent each inteager in a vector.">int2bits</a>(<span class="keyword">const</span> ivec&amp; v)
272<a name="l00298"></a>00298 {
273<a name="l00299"></a>00299   <span class="keywordflow">return</span> apply_function&lt;int&gt;(<a class="code" href="group__logexpfunc.html#gdf1b40ed813a44d3ae68bbbae84b45c6" title="Calculate the number of bits needed to represent each inteager in a vector.">int2bits</a>, v);
274<a name="l00300"></a>00300 }
275<a name="l00301"></a>00301
276<a name="l00303"></a><a class="code" href="group__logexpfunc.html#g4a774bd5418520f574eddf730333dada">00303</a> <span class="keyword">inline</span> ivec <a class="code" href="group__logexpfunc.html#g4a774bd5418520f574eddf730333dada" title="Calculate the number of bits needed to represent a numer of levels saved in a vector...">levels2bits</a>(<span class="keyword">const</span> ivec&amp; v)
277<a name="l00304"></a>00304 {
278<a name="l00305"></a>00305   <span class="keywordflow">return</span> apply_function&lt;int&gt;(<a class="code" href="group__logexpfunc.html#g4a774bd5418520f574eddf730333dada" title="Calculate the number of bits needed to represent a numer of levels saved in a vector...">levels2bits</a>, v);
279<a name="l00306"></a>00306 }
280<a name="l00307"></a>00307
281<a name="l00309"></a>00309
282<a name="l00310"></a>00310 } <span class="comment">// namespace itpp</span>
283<a name="l00311"></a>00311
284<a name="l00312"></a>00312 <span class="preprocessor">#endif // #ifndef LOG_EXP_H</span>
285<a name="l00313"></a>00313 <span class="preprocessor"></span>
286<a name="l00314"></a>00314
287<a name="l00315"></a>00315
288<a name="l00316"></a>00316
289</pre></div></div>
290<hr size="1"><address style="text-align: right;"><small>Generated on Tue Jun 2 10:02:12 2009 for mixpp by&nbsp;
291<a href="http://www.doxygen.org/index.html">
292<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address>
293</body>
294</html>
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