Codebase list cppad / upstream/2015.00.00.7 doc / pow_int.cpp.xml
upstream/2015.00.00.7

Tree @upstream/2015.00.00.7 (Download .tar.gz)

pow_int.cpp.xml @upstream/2015.00.00.7 — raw · history · blame 

  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
<?xml version='1.0'?>
<html xmlns='http://www.w3.org/1999/xhtml'
      xmlns:math='http://www.w3.org/1998/Math/MathML'
>
<head>
<title>The Pow Integer Exponent: Example and Test</title>
<meta http-equiv='Content-Type' content='text/html' charset='utf-8'/>
<meta name="description" id="description" content="The Pow Integer Exponent: Example and Test"/>
<meta name="keywords" id="keywords" content=" the pow integer exponent: example and test int "/>
<style type='text/css'>
body { color : black }
body { background-color : white }
A:link { color : blue }
A:visited { color : purple }
A:active { color : purple }
</style>
<script type='text/javascript' language='JavaScript' src='_pow_int.cpp_xml.js'>
</script>
</head>
<body>
<table><tr>
<td>
<a href="http://www.coin-or.org/CppAD/" target="_top"><img border="0" src="_image.gif"/></a>
</td>
<td><a href="pow_int.xml" target="_top">Prev</a>
</td><td><a href="poly.xml" target="_top">Next</a>
</td><td>
<select onchange='choose_across0(this)'>
<option>Index-&gt;</option>
<option>contents</option>
<option>reference</option>
<option>index</option>
<option>search</option>
<option>external</option>
</select>
</td>
<td>
<select onchange='choose_up0(this)'>
<option>Up-&gt;</option>
<option>CppAD</option>
<option>library</option>
<option>pow_int</option>
<option>pow_int.cpp</option>
</select>
</td>
<td>
<select onchange='choose_down3(this)'>
<option>CppAD-&gt;</option>
<option>Install</option>
<option>Introduction</option>
<option>AD</option>
<option>ADFun</option>
<option>preprocessor</option>
<option>multi_thread</option>
<option>library</option>
<option>ipopt_solve</option>
<option>Example</option>
<option>speed</option>
<option>Appendix</option>
</select>
</td>
<td>
<select onchange='choose_down2(this)'>
<option>library-&gt;</option>
<option>ErrorHandler</option>
<option>NearEqual</option>
<option>speed_test</option>
<option>SpeedTest</option>
<option>time_test</option>
<option>NumericType</option>
<option>CheckNumericType</option>
<option>SimpleVector</option>
<option>CheckSimpleVector</option>
<option>nan</option>
<option>pow_int</option>
<option>Poly</option>
<option>LuDetAndSolve</option>
<option>RombergOne</option>
<option>RombergMul</option>
<option>Runge45</option>
<option>Rosen34</option>
<option>OdeErrControl</option>
<option>OdeGear</option>
<option>OdeGearControl</option>
<option>CppAD_vector</option>
<option>thread_alloc</option>
<option>index_sort</option>
<option>BenderQuad</option>
<option>opt_val_hes</option>
<option>LuRatio</option>
</select>
</td>
<td>
<select onchange='choose_down1(this)'>
<option>pow_int-&gt;</option>
<option>pow_int.cpp</option>
</select>
</td>
<td>pow_int.cpp</td>
<td>Headings</td>
</tr></table><br/>



<center><b><big><big>The Pow Integer Exponent: Example and Test</big></big></b></center>
<code><font color="blue"><pre style='display:inline'> 

# include &lt;cppad/cppad.hpp&gt;
# include &lt;cmath&gt;

bool pow_int(void)
{	bool ok = true;

	using CppAD::AD;
	using CppAD::NearEqual;

	// declare independent variables and start tape recording
	size_t n  = 1;
	double x0 = -0.5;
	<a href="testvector.xml" target="_top">CPPAD_TESTVECTOR</a>(AD&lt;double&gt;) x(n);
	x[0]      = x0;
	CppAD::<a href="independent.xml" target="_top">Independent</a>(x);

	// dependent variable vector 
	size_t m = 7;
	<a href="testvector.xml" target="_top">CPPAD_TESTVECTOR</a>(AD&lt;double&gt;) y(m);
	int i;
	for(i = 0; i &lt; int(m); i++) 
		y[i] = CppAD::pow(x[0], i - 3);

	// create f: x -&gt; y and stop tape recording
	CppAD::<a href="funconstruct.xml" target="_top">ADFun</a>&lt;double&gt; f(x, y); 

	// check value 
	double check;
	for(i = 0; i &lt; int(m); i++) 
	{	check = std::pow(x0, double(i - 3));
		ok &amp;= <a href="nearequal.xml" target="_top">NearEqual</a>(y[i] , check,  1e-10 , 1e-10);
	}

	// forward computation of first partial w.r.t. x[0]
	<a href="testvector.xml" target="_top">CPPAD_TESTVECTOR</a>(double) dx(n);
	<a href="testvector.xml" target="_top">CPPAD_TESTVECTOR</a>(double) dy(m);
	dx[0] = 1.;
	dy    = f.<a href="forward.xml" target="_top">Forward</a>(1, dx);
	for(i = 0; i &lt; int(m); i++) 
	{	check = double(i-3) * std::pow(x0, double(i - 4));
		ok &amp;= <a href="nearequal.xml" target="_top">NearEqual</a>(dy[i] , check,  1e-10 , 1e-10);
	}

	// reverse computation of derivative of y[i]
	<a href="testvector.xml" target="_top">CPPAD_TESTVECTOR</a>(double)  w(m);
	<a href="testvector.xml" target="_top">CPPAD_TESTVECTOR</a>(double) dw(n);
	for(i = 0; i &lt; int(m); i++) 
		w[i] = 0.;
	for(i = 0; i &lt; int(m); i++) 
	{	w[i] = 1.;	
		dw    = f.<a href="reverse.xml" target="_top">Reverse</a>(1, w);
		check = double(i-3) * std::pow(x0, double(i - 4));
		ok &amp;= <a href="nearequal.xml" target="_top">NearEqual</a>(dw[0] , check,  1e-10 , 1e-10);
		w[i] = 0.;	
	}

	return ok;
}

</pre>

</font></code>


<hr/>Input File: example/pow_int.cpp

</body>
</html>