1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
|
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>logged_adaptor</title>
<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.77.1">
<link rel="home" href="../../../index.html" title="Chapter 1. Boost.Multiprecision">
<link rel="up" href="../misc.html" title="Miscellaneous Number Types.">
<link rel="prev" href="../misc.html" title="Miscellaneous Number Types.">
<link rel="next" href="debug_adaptor.html" title="debug_adaptor">
</head>
<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
<table cellpadding="2" width="100%"><tr>
<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../boost.png"></td>
<td align="center"><a href="../../../../../../../index.html">Home</a></td>
<td align="center"><a href="../../../../../../../libs/libraries.htm">Libraries</a></td>
<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td>
<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td>
<td align="center"><a href="../../../../../../../more/index.htm">More</a></td>
</tr></table>
<hr>
<div class="spirit-nav">
<a accesskey="p" href="../misc.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../misc.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="debug_adaptor.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
<div class="section">
<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>
<hr>
<div class="spirit-nav">
<a accesskey="p" href="../misc.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../misc.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="debug_adaptor.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
</body>
</html>
|
