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| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="boost_multiprecision.tut.misc.logged_adaptor"></a><a class="link" href="logged_adaptor.html" title="logged_adaptor">logged_adaptor</a> |
| </h4></div></div></div> |
| <p> |
| <code class="computeroutput"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">logged_adaptor</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code> |
| </p> |
| <pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span> |
| |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">></span> |
| <span class="keyword">void</span> <span class="identifier">log_postfix_event</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">Backend</span><span class="special">&</span> <span class="identifier">result</span><span class="special">,</span> <span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span> <span class="identifier">event_description</span><span class="special">);</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span> |
| <span class="keyword">void</span> <span class="identifier">log_postfix_event</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">Backend</span><span class="special">&</span> <span class="identifier">result1</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">result2</span><span class="special">,</span> <span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span> <span class="identifier">event_description</span><span class="special">);</span> |
| |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">></span> |
| <span class="keyword">void</span> <span class="identifier">log_prefix_event</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">Backend</span><span class="special">&</span> <span class="identifier">arg1</span><span class="special">,</span> <span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span> <span class="identifier">event_description</span><span class="special">);</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span> |
| <span class="keyword">void</span> <span class="identifier">log_prefix_event</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">Backend</span><span class="special">&</span> <span class="identifier">arg1</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">arg2</span><span class="special">,</span> <span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span> <span class="identifier">event_description</span><span class="special">);</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">></span> |
| <span class="keyword">void</span> <span class="identifier">log_prefix_event</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">Backend</span><span class="special">&</span> <span class="identifier">arg1</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">arg2</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">U</span><span class="special">&</span> <span class="identifier">arg3</span><span class="special">,</span> <span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span> <span class="identifier">event_description</span><span class="special">);</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Backend</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">V</span><span class="special">></span> |
| <span class="keyword">void</span> <span class="identifier">log_prefix_event</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">Backend</span><span class="special">&</span> <span class="identifier">arg1</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&</span> <span class="identifier">arg2</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">U</span><span class="special">&</span> <span class="identifier">arg3</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">V</span><span class="special">&</span> <span class="identifier">arg4</span><span class="special">,</span> <span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span> <span class="identifier">event_description</span><span class="special">);</span> |
| |
| <span class="keyword">template</span> <span class="special"><</span><span class="identifier">Backend</span><span class="special">></span> |
| <span class="keyword">class</span> <span class="identifier">logged_adaptor</span><span class="special">;</span> |
| |
| <span class="special">}}</span> <span class="comment">// namespaces</span> |
| </pre> |
| <p> |
| The <code class="computeroutput"><span class="identifier">logged_adaptor</span></code> type |
| is used in conjunction with <code class="computeroutput"><span class="identifier">number</span></code> |
| and some other backend type: it acts as a thin wrapper around some other |
| backend to class <code class="computeroutput"><span class="identifier">number</span></code> |
| and logs all the events that take place on that object. Before any number |
| operation takes place, it calls <code class="computeroutput"><span class="identifier">log_prefix_event</span></code> |
| with the arguments to the operation (up to 4), plus a string describing |
| the operation. Then after the operation it calls <code class="computeroutput"><span class="identifier">log_postfix_event</span></code> |
| with the result of the operation, plus a string describing the operation. |
| Optionally, <code class="computeroutput"><span class="identifier">log_postfix_event</span></code> |
| takes a second result argument: this occurs when the result of the operation |
| is not a <code class="computeroutput"><span class="identifier">number</span></code>, for example |
| when <code class="computeroutput"><span class="identifier">fpclassify</span></code> is called, |
| <code class="computeroutput"><span class="identifier">log_postfix_event</span></code> will |
| be called with <code class="computeroutput"><span class="identifier">result1</span></code> |
| being the argument to the function, and <code class="computeroutput"><span class="identifier">result2</span></code> |
| being the integer result of <code class="computeroutput"><span class="identifier">fpclassify</span></code>. |
| </p> |
| <p> |
| The default versions of <code class="computeroutput"><span class="identifier">log_prefix_event</span></code> |
| and <code class="computeroutput"><span class="identifier">log_postfix_event</span></code> do |
| nothing, it is therefore up to the user to overload these for the particular |
| backend being observed. |
| </p> |
| <p> |
| This type provides <code class="computeroutput"><span class="identifier">numeric_limits</span></code> |
| support whenever the template argument Backend does so. |
| </p> |
| <p> |
| This type is particularly useful when combined with an interval number |
| type - in this case we can use <code class="computeroutput"><span class="identifier">log_postfix_event</span></code> |
| to monitor the error accumulated after each operation. We could either |
| set some kind of trap whenever the accumulated error exceeds some threshold, |
| or simply print out diagnostic information. Using this technique we can |
| quickly locate the cause of numerical instability in a particular routine. |
| The following example demonstrates this technique in a trivial algorithm |
| that deliberately introduces cancellation error: |
| </p> |
| <pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">mpfi</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> |
| <span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">logged_adaptor</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> |
| <span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">iostream</span><span class="special">></span> |
| <span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">iomanip</span><span class="special">></span> |
| <span class="comment">//</span> |
| <span class="comment">// Begin by overloading log_postfix_event so we can capture each arithmetic event as it happens:</span> |
| <span class="comment">//</span> |
| <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span> |
| |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">D</span><span class="special">></span> |
| <span class="keyword">inline</span> <span class="keyword">void</span> <span class="identifier">log_postfix_event</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">D</span><span class="special">>&</span> <span class="identifier">val</span><span class="special">,</span> <span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span> <span class="identifier">event_description</span><span class="special">)</span> |
| <span class="special">{</span> |
| <span class="comment">// Print out the (relative) diameter of the interval:</span> |
| <span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span> |
| <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfr_float_backend</span><span class="special"><</span><span class="identifier">D</span><span class="special">></span> <span class="special">></span> <span class="identifier">diam</span><span class="special">;</span> |
| <span class="identifier">mpfi_diam</span><span class="special">(</span><span class="identifier">diam</span><span class="special">.</span><span class="identifier">backend</span><span class="special">().</span><span class="identifier">data</span><span class="special">(),</span> <span class="identifier">val</span><span class="special">.</span><span class="identifier">data</span><span class="special">());</span> |
| <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Diameter was "</span> <span class="special"><<</span> <span class="identifier">diam</span> <span class="special"><<</span> <span class="string">" after operation: "</span> <span class="special"><<</span> <span class="identifier">event_description</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> |
| <span class="special">}</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">D</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span> |
| <span class="keyword">inline</span> <span class="keyword">void</span> <span class="identifier">log_postfix_event</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">D</span><span class="special">>&,</span> <span class="keyword">const</span> <span class="identifier">T</span><span class="special">&,</span> <span class="keyword">const</span> <span class="keyword">char</span><span class="special">*</span> <span class="identifier">event_description</span><span class="special">)</span> |
| <span class="special">{</span> |
| <span class="comment">// This version is never called in this example.</span> |
| <span class="special">}</span> |
| |
| <span class="special">}}</span> |
| |
| |
| <span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span> |
| <span class="special">{</span> |
| <span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">logged_adaptor</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="number">17</span><span class="special">></span> <span class="special">></span> <span class="special">></span> <span class="identifier">logged_type</span><span class="special">;</span> |
| <span class="comment">//</span> |
| <span class="comment">// Test case deliberately introduces cancellation error, relative size of interval</span> |
| <span class="comment">// gradually gets larger after each operation:</span> |
| <span class="comment">//</span> |
| <span class="identifier">logged_type</span> <span class="identifier">a</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span> |
| <span class="identifier">a</span> <span class="special">/=</span> <span class="number">10</span><span class="special">;</span> |
| |
| <span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">i</span> <span class="special"><</span> <span class="number">13</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span> |
| <span class="special">{</span> |
| <span class="identifier">logged_type</span> <span class="identifier">b</span> <span class="special">=</span> <span class="identifier">a</span> <span class="special">*</span> <span class="number">9</span><span class="special">;</span> |
| <span class="identifier">b</span> <span class="special">/=</span> <span class="number">10</span><span class="special">;</span> |
| <span class="identifier">a</span> <span class="special">-=</span> <span class="identifier">b</span><span class="special">;</span> |
| <span class="special">}</span> |
| <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Final value was: "</span> <span class="special"><<</span> <span class="identifier">a</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> |
| <span class="keyword">return</span> <span class="number">0</span><span class="special">;</span> |
| <span class="special">}</span> |
| </pre> |
| <p> |
| When we examine program output we can clearly see that the diameter of |
| the interval increases after each subtraction: |
| </p> |
| <pre class="programlisting"><span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">0</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Assignment</span> <span class="identifier">from</span> <span class="identifier">arithmetic</span> <span class="identifier">type</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">4.33681e-18</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">7.70988e-18</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">9.63735e-18</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">1.30104e-16</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">1.30104e-16</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">1.38537e-16</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">2.54788e-15</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">2.54788e-15</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">2.54863e-15</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">4.84164e-14</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">4.84164e-14</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">4.84221e-14</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">9.19962e-13</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">9.19962e-13</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">9.19966e-13</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">1.74793e-11</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">1.74793e-11</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">1.74793e-11</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">3.32107e-10</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">3.32107e-10</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">3.32107e-10</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">6.31003e-09</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">6.31003e-09</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">6.31003e-09</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">1.19891e-07</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">1.19891e-07</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">1.19891e-07</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">2.27792e-06</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">2.27792e-06</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">2.27792e-06</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">4.32805e-05</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">4.32805e-05</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">4.32805e-05</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">0.00082233</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">0.00082233</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">0.00082233</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">0.0156243</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="identifier">nan</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="identifier">Default</span> <span class="identifier">construct</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">0.0156243</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">*</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">0.0156243</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">/=</span> |
| <span class="identifier">Diameter</span> <span class="identifier">was</span> <span class="number">0.296861</span> <span class="identifier">after</span> <span class="identifier">operation</span><span class="special">:</span> <span class="special">-=</span> |
| <span class="identifier">Final</span> <span class="identifier">value</span> <span class="identifier">was</span><span class="special">:</span> <span class="special">{</span><span class="number">8.51569e-15</span><span class="special">,</span><span class="number">1.14843e-14</span><span class="special">}</span> |
| </pre> |
| </div> |
| <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> |
| <td align="left"></td> |
| <td align="right"><div class="copyright-footer">Copyright © 2002-2013 John Maddock and Christopher Kormanyos<p> |
| Distributed under the Boost Software License, Version 1.0. (See accompanying |
| file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) |
| </p> |
| </div></td> |
| </tr></table> |
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