Commit 9d82594fc7d86658838ca474731a38fa3ada5ced - cppad

Imported Upstream version 2015.00.00.8 Barak A. Pearlmutter 8 years ago

15 changed file(s) with 206 addition(s) and 158 deletion(s). Raw diff Collapse all Expand all

-2

CMakeLists.txt less more

0		# $Id: CMakeLists.txt 3643 2015-02-12 11:47:46Z bradbell $
	0	# $Id: CMakeLists.txt 3647 2015-02-15 01:06:13Z bradbell $
1	1	# -----------------------------------------------------------------------------
2	2	# CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-14 Bradley M. Bell
3	3	#

15	15	CMAKE_MINIMUM_REQUIRED(VERSION 2.6)
16	16
17	17	# cppad_version is used by set_version.sh to get the version number.
18		SET(cppad_version "20150000.7" )
	18	SET(cppad_version "20150000.8" )
19	19	SET(cppad_url "http://www.coin-or.org/CppAD" )
20	20	SET(cppad_description "Differentiation of C++ Algorithms" )
21	21

-2

bin/new_release.sh less more

0	0	#! /bin/bash -e
1		# $Id: new_release.sh 3643 2015-02-12 11:47:46Z bradbell $
	1	# $Id: new_release.sh 3647 2015-02-15 01:06:13Z bradbell $
2	2	# -----------------------------------------------------------------------------
3	3	# CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-13 Bradley M. Bell
4	4	#

22	22	# -----------------------------------------------------------------------------
23	23	svn_repository="https://projects.coin-or.org/svn/CppAD"
24	24	stable_version="20150000"
25		release='7'
	25	release='8'
26	26	release_version="$stable_version.$release"
27	27	# -----------------------------------------------------------------------------
28	28	# Check release version

+10

-10

configure less more

0	0	#! /bin/sh
1	1	# Guess values for system-dependent variables and create Makefiles.
2		# Generated by GNU Autoconf 2.69 for cppad 20150000.7.
	2	# Generated by GNU Autoconf 2.69 for cppad 20150000.8.
3	3	#
4	4	# Report bugs to <cppad@list.coin-or.org>.
5	5	#

579	579	# Identity of this package.
580	580	PACKAGE_NAME='cppad'
581	581	PACKAGE_TARNAME='cppad'
582		PACKAGE_VERSION='20150000.7'
583		PACKAGE_STRING='cppad 20150000.7'
	582	PACKAGE_VERSION='20150000.8'
	583	PACKAGE_STRING='cppad 20150000.8'
584	584	PACKAGE_BUGREPORT='cppad@list.coin-or.org'
585	585	PACKAGE_URL=''
586	586

1400	1400	# Omit some internal or obsolete options to make the list less imposing.
1401	1401	# This message is too long to be a string in the A/UX 3.1 sh.
1402	1402	cat <<_ACEOF
1403		\`configure' configures cppad 20150000.7 to adapt to many kinds of systems.
	1403	\`configure' configures cppad 20150000.8 to adapt to many kinds of systems.
1404	1404
1405	1405	Usage: $0 [OPTION]... [VAR=VALUE]...
1406	1406

1470	1470
1471	1471	if test -n "$ac_init_help"; then
1472	1472	case $ac_init_help in
1473		short \| recursive ) echo "Configuration of cppad 20150000.7:";;
	1473	short \| recursive ) echo "Configuration of cppad 20150000.8:";;
1474	1474	esac
1475	1475	cat <<\_ACEOF
1476	1476

1603	1603	test -n "$ac_init_help" && exit $ac_status
1604	1604	if $ac_init_version; then
1605	1605	cat <<\_ACEOF
1606		cppad configure 20150000.7
	1606	cppad configure 20150000.8
1607	1607	generated by GNU Autoconf 2.69
1608	1608
1609	1609	Copyright (C) 2012 Free Software Foundation, Inc.

2232	2232	This file contains any messages produced by compilers while
2233	2233	running configure, to aid debugging if configure makes a mistake.
2234	2234
2235		It was created by cppad $as_me 20150000.7, which was
	2235	It was created by cppad $as_me 20150000.8, which was
2236	2236	generated by GNU Autoconf 2.69. Invocation command line was
2237	2237
2238	2238	$ $0 $@

5240	5240
5241	5241	# Define the identity of the package.
5242	5242	PACKAGE='cppad'
5243		VERSION='20150000.7'
	5243	VERSION='20150000.8'
5244	5244
5245	5245
5246	5246	cat >>confdefs.h <<_ACEOF

8412	8412	# report actual input values of CONFIG_FILES etc. instead of their
8413	8413	# values after options handling.
8414	8414	ac_log="
8415		This file was extended by cppad $as_me 20150000.7, which was
	8415	This file was extended by cppad $as_me 20150000.8, which was
8416	8416	generated by GNU Autoconf 2.69. Invocation command line was
8417	8417
8418	8418	CONFIG_FILES = $CONFIG_FILES

8469	8469	cat >>$CONFIG_STATUS <<_ACEOF \|\| ac_write_fail=1
8470	8470	ac_cs_config="`$as_echo "$ac_configure_args" \| sed 's/^ //; s/[\\""\`\$]/\\\\&/g'`"
8471	8471	ac_cs_version="\\
8472		cppad config.status 20150000.7
	8472	cppad config.status 20150000.8
8473	8473	configured by $0, generated by GNU Autoconf 2.69,
8474	8474	with options \\"\$ac_cs_config\\"
8475	8475

-2

configure.ac less more

0		dnl $Id: configure.ac 3643 2015-02-12 11:47:46Z bradbell $
	0	dnl $Id: configure.ac 3647 2015-02-15 01:06:13Z bradbell $
1	1	dnl ---------------------------------------------------------------------------
2	2	dnl CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-14 Bradley M. Bell
3	3	dnl

11	11	dnl
12	12	dnl Process this file with autoconf to produce a configure script.
13	13	dnl package version bug-report
14		AC_INIT([cppad], [20150000.7], [cppad@list.coin-or.org])
	14	AC_INIT([cppad], [20150000.8], [cppad@list.coin-or.org])
15	15	AM_SILENT_RULES([yes])
16	16
17	17	dnl By defalut disable maintainer mode when running configure;

-1

cppad/local/erf_op.hpp less more

249	249
250	250	// zero order Taylor coefficient for z_4
251	251	Base* x = taylor + arg[0] * cap_order;
252		Base* z_4 = taylor + i_z + 4 * cap_order;
	252	Base* z_4 = taylor + (i_z + 4) * cap_order;
253	253	z_4[0] = erf(x[0]);
254	254	}
255	255

-2

doc/_contents_xml.htm less more

63	63	onmouseover='MouseOver(1)'
64	64	onmouseout='MouseOut(1)'
65	65	><img src='_close.gif' name='folder1' align='middle' />
66		<u>cppad-20150000.7: A Package for Differentiation of C++ Algorithms</u></a>
	66	<u>cppad-20150000.8: A Package for Differentiation of C++ Algorithms</u></a>
67	67
68	68	<span id='children1'>
69		<br/><a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a>
	69	<br/><a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a>
70	70
71	71	<br/>    <a href="_contents_xml.htm" target="_top">Table of Contents</a>
72	72

-3

doc/_external.xml less more

171	171
172	172	<tr valign="top"><td><a href="http://www.coin-or.org/download/source/CppAD/" target="_top">http://www.coin-or.org/download/source/CppAD/</a></td><td><a href="whats_new_09.xml#06-25" target="_top">whats_new_09#06-25</a></td></tr>
173	173
174		<tr valign="top"><td><a href="http://www.coin-or.org/download/source/CppAD/cppad-20150000.7.epl.tgz" target="_top">http://www.coin-or.org/download/source/CppAD/cppad-20150000.7.epl.tgz</a></td><td><a href="download.xml#Compressed Archives" target="_top">download#Compressed Archives</a></td></tr>
175
176		<tr valign="top"><td><a href="http://www.coin-or.org/download/source/CppAD/cppad-20150000.7.gpl.tgz" target="_top">http://www.coin-or.org/download/source/CppAD/cppad-20150000.7.gpl.tgz</a></td><td><a href="download.xml#Compressed Archives" target="_top">download#Compressed Archives</a></td></tr>
	174	<tr valign="top"><td><a href="http://www.coin-or.org/download/source/CppAD/cppad-20150000.8.epl.tgz" target="_top">http://www.coin-or.org/download/source/CppAD/cppad-20150000.8.epl.tgz</a></td><td><a href="download.xml#Compressed Archives" target="_top">download#Compressed Archives</a></td></tr>
	175
	176	<tr valign="top"><td><a href="http://www.coin-or.org/download/source/CppAD/cppad-20150000.8.gpl.tgz" target="_top">http://www.coin-or.org/download/source/CppAD/cppad-20150000.8.gpl.tgz</a></td><td><a href="download.xml#Compressed Archives" target="_top">download#Compressed Archives</a></td></tr>
177	177
178	178	<tr valign="top"><td><a href="http://www.coin-or.org/foundation.html" target="_top">http://www.coin-or.org/foundation.html</a></td><td><a href="cppad.xml#Introduction" target="_top">CppAD#Introduction</a></td></tr>
179	179

+30

-30

doc/_index.xml less more

1009	1009	boost<b> </b>thread<b> </b>example <a href="a11c_bthread.cpp.xml" target="_top">A Simple Boost Thread Example and Test</a><br/>
1010	1010	OpenMP<b> </b>example <a href="a11c_pthread.cpp.xml" target="_top">A Simple Parallel Pthread Example and Test</a><br/>
1011	1011	OpenMP<b> </b>example <a href="a11c_openmp.cpp.xml" target="_top">A Simple OpenMP Example and Test</a><br/>
1012		AD <a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
	1012	AD <a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
1013	1013	arithmetic<b> </b>operator <a href="arithmetic.xml" target="_top">AD Arithmetic Operators and Computed Assignments</a><br/>
1014	1014	assignment <a href="ad_assign.xml" target="_top">AD Assignment Operator</a><br/>
1015	1015	binary<b> </b>compare<b> </b>operator <a href="compare.xml" target="_top">AD Binary Comparison Operators</a><br/>

1170	1170	<a href="atomic_hes_sparse.cpp.xml#Test with x_1 Both a Variable and a Parameter" target="_top">Atomic Operation Hessian Sparsity: Example and Test: Test with x_1 Both a Variable and a Parameter</a><br/>
1171	1171	<a href="var2par.cpp.xml" target="_top">Convert an AD Variable to a Parameter: Example and Test</a><br/>
1172	1172	<a href="var2par.xml" target="_top">Convert an AD Variable to a Parameter</a><br/>
1173		<a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
	1173	<a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
1174	1174	a11c <a href="thread_test.cpp.xml#a11c" target="_top">Run Multi-Threading Examples and Speed Tests: a11c</a><br/>
1175	1175	abort <a href="abort_recording.cpp.xml" target="_top">Abort Current Recording: Example and Test</a><br/>
1176	1176	<a href="abort_recording.xml" target="_top">Abort Recording of an Operation Sequence</a><br/>

1424	1424	algorithmic <a href="introduction.xml#Preface.Algorithmic Differentiation" target="_top">An Introduction by Example to Algorithmic Differentiation: Preface.Algorithmic Differentiation</a><br/>
1425	1425	<a href="introduction.xml" target="_top">An Introduction by Example to Algorithmic Differentiation</a><br/>
1426	1426	C<b> </b>differentiation <a href="ad_in_c.cpp.xml" target="_top">Example and Test Linking CppAD to Languages Other than C++</a><br/>
1427		algorithmic<b> </b>differentiation <a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
1428		algorithms <a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
	1427	algorithmic<b> </b>differentiation <a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
	1428	algorithms <a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
1429	1429	alignment <a href="ta_create_array.xml#Alignment" target="_top">Allocate An Array and Call Default Constructor for its Elements: Alignment</a><br/>
1430	1430	<a href="ta_get_memory.xml#Alignment" target="_top">Get At Least A Specified Amount of Memory: Alignment</a><br/>
1431	1431	all <a href="listallexamples.xml" target="_top">List of All the CppAD Examples</a><br/>

1936	1936	atomic<b>_</b>user <a href="atomic_ctor.xml#atomic_user" target="_top">Atomic Function Constructor: atomic_user</a><br/>
1937	1937	automatic<br/>
1938	1938	C<b> </b>differentiation <a href="ad_in_c.cpp.xml" target="_top">Example and Test Linking CppAD to Languages Other than C++</a><br/>
1939		automatic<b> </b>differentiation <a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
	1939	automatic<b> </b>differentiation <a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
1940	1940	available <a href="memory_leak.xml#available" target="_top">Memory Leak Detection: available</a><br/>
1941	1941	<a href="omp_delete_array.xml" target="_top">Return A Raw Array to The Available Memory for a Thread</a><br/>
1942	1942	<a href="omp_available.xml" target="_top">Amount of Memory Available for Quick Use by a Thread</a><br/>

2137	2137	compare<b> </b>speed<b> </b>with<b> </b>C<b>++</b> <a href="compare_c.xml" target="_top">Compare Speed of C and C++</a><br/>
2138	2138	interface<b> </b>to <a href="interface2c.cpp.xml" target="_top">Interfacing to C: Example and Test</a><br/>
2139	2139	C<b>++</b><br/>
2140		algorithm<b> </b>derivative <a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
	2140	algorithm<b> </b>derivative <a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
2141	2141	compare<b> </b>speed<b> </b>with<b> </b>C <a href="compare_c.xml" target="_top">Compare Speed of C and C++</a><br/>
2142	2142	numerical<b> </b>template<b> </b>library <a href="library.xml" target="_top">The CppAD General Purpose Library</a><br/>
2143	2143	CheckNumericType <a href="check_numeric_type.cpp.xml" target="_top">The CheckNumericType Function: Example and Test</a><br/>

2169	2169	CPPAD<b>_</b>TRACK<b>_</b>NEW<b>_</b>VEC <a href="tracknewdel.xml#TrackNewVec.Macro" target="_top">Routines That Track Use of New and Delete: TrackNewVec.Macro</a><br/>
2170	2170	CPPAD<b>_</b>USER<b>_</b>ATOMIC <a href="old_atomic.xml#CPPAD_USER_ATOMIC" target="_top">User Defined Atomic AD Functions: CPPAD_USER_ATOMIC</a><br/>
2171	2171	<a href="old_atomic.xml" target="_top">User Defined Atomic AD Functions</a><br/>
2172		CppAD <a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
2173		namespace <a href="cppad.xml#Namespace" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Namespace</a><br/>
	2172	CppAD <a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
	2173	namespace <a href="cppad.xml#Namespace" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Namespace</a><br/>
2174	2174	nonlinear<b> </b>programming <a href="cppad_ipopt_nlp.xml" target="_top">Nonlinear Programming Using the CppAD Interface to Ipopt</a><br/>
2175		preprocessor<b> </b>symbol <a href="cppad.xml#Preprocessor Symbols" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Preprocessor Symbols</a><br/>
	2175	preprocessor<b> </b>symbol <a href="cppad.xml#Preprocessor Symbols" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Preprocessor Symbols</a><br/>
2176	2176	unix<b> </b>install <a href="installunix.xml" target="_top">Deprecated Unix Test and Installation</a><br/>
2177	2177	CppAD<b>::</b>vector<br/>
2178	2178	example <a href="cppad_vector.cpp.xml" target="_top">CppAD::vector Template Class: Example and Test</a><br/>

2195	2195	<a href="bib.xml#The C++ Programming Language" target="_top">Bibliography: The C++ Programming Language</a><br/>
2196	2196	<a href="ad_in_c.cpp.xml" target="_top">Example and Test Linking CppAD to Languages Other than C++</a><br/>
2197	2197	<a href="library.xml#C++ Concepts" target="_top">The CppAD General Purpose Library: C++ Concepts</a><br/>
2198		<a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
	2198	<a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
2199	2199	compile<b> </b>flags <a href="cmake.xml#cppad_cxx_flags" target="_top">Using CMake to Configure CppAD: cppad_cxx_flags</a><br/>
2200	2200	c<b>:</b> <a href="interface2c.cpp.xml" target="_top">Interfacing to C: Example and Test</a><br/>
2201	2201	calculating <a href="sparse.xml" target="_top">Calculating Sparsity Patterns</a><br/>

2689	2689	speed<b> </b>test <a href="speed_cppad.xml" target="_top">Speed Test Derivatives Using CppAD</a><br/>
2690	2690	speed<b> </b>test <a href="speed_main.xml" target="_top">Running the Speed Test Program</a><br/>
2691	2691	test<b> </b>vector <a href="cppad_testvector.xml" target="_top">Choosing the CppAD Test Vector Template Class</a><br/>
2692		cppad<b>-</b>20150000<b>.</b>7<b>:</b> <a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
	2692	cppad<b>-</b>20150000<b>.</b>8<b>:</b> <a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
2693	2693	cppad<b>.</b>hpp<br/>
2694		include <a href="cppad.xml#Include File" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Include File</a><br/>
	2694	include <a href="cppad.xml#Include File" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Include File</a><br/>
2695	2695	cppad<b>::</b>vector <a href="test_vector.xml#CppAD::vector" target="_top">Choosing The Vector Testing Template Class: CppAD::vector</a><br/>
2696	2696	<a href="testvector.xml#CppAD::vector" target="_top">Using The CppAD Test Vector Template Class: CppAD::vector</a><br/>
2697	2697	<a href="cppad_vector.cpp.xml" target="_top">CppAD::vector Template Class: Example and Test</a><br/>

3063	3063	differentiating <a href="stack_machine.cpp.xml" target="_top">Example Differentiating a Stack Machine Interpreter</a><br/>
3064	3064	differentiation <a href="introduction.xml#Preface.Algorithmic Differentiation" target="_top">An Introduction by Example to Algorithmic Differentiation: Preface.Algorithmic Differentiation</a><br/>
3065	3065	<a href="introduction.xml" target="_top">An Introduction by Example to Algorithmic Differentiation</a><br/>
3066		<a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
	3066	<a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
3067	3067	dimension<br/>
3068	3068	multi<b> </b>Romberg<b> </b>integration <a href="rombergmul.xml" target="_top">Multi-dimensional Romberg Integration</a><br/>
3069	3069	dimensional <a href="rombergmul.cpp.xml" target="_top">One Dimensional Romberg Integration: Example and Test</a><br/>

3712	3712	<a href="introduction.xml" target="_top">An Introduction by Example to Algorithmic Differentiation</a><br/>
3713	3713	<a href="colpack.cpp.xml" target="_top">Using ColPack: Example and Test</a><br/>
3714	3714	<a href="colpack_prefix.xml#Example" target="_top">Including the ColPack Sparsity Calculations: Example</a><br/>
3715		<a href="cppad.xml#Example" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Example</a><br/>
	3715	<a href="cppad.xml#Example" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Example</a><br/>
3716	3716	AD<b> </b>acos <a href="acos.cpp.xml" target="_top">The AD acos Function: Example and Test</a><br/>
3717	3717	AD<b> </b>add <a href="add.cpp.xml" target="_top">AD Binary Addition: Example and Test</a><br/>
3718	3718	AD<b> </b>asin <a href="asin.cpp.xml" target="_top">The AD asin Function: Example and Test</a><br/>

4248	4248	<a href="base_alloc.hpp.xml#Include File" target="_top">Example AD<Base> Where Base Constructor Allocates Memory: Include File</a><br/>
4249	4249	<a href="download.xml#Compressed Archives.Windows File Extraction" target="_top">Download The CppAD Source Code: Compressed Archives.Windows File Extraction</a><br/>
4250	4250	<a href="download.xml#Compressed Archives.Unix File Extraction" target="_top">Download The CppAD Source Code: Compressed Archives.Unix File Extraction</a><br/>
4251		<a href="cppad.xml#Include File" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Include File</a><br/>
	4251	<a href="cppad.xml#Include File" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Include File</a><br/>
4252	4252	deprecated<b> </b>include <a href="include_deprecated.xml" target="_top">Deprecated Include Files</a><br/>
4253	4253	files <a href="include_deprecated.xml#Linking New Files to Deprecated Commands" target="_top">Deprecated Include Files: Linking New Files to Deprecated Commands</a><br/>
4254	4254	<a href="include_deprecated.xml" target="_top">Deprecated Include Files</a><br/>

4360	4360	<a href="nearequalext.xml" target="_top">Compare AD and Base Objects for Nearly Equal</a><br/>
4361	4361	<a href="limits.xml" target="_top">Numeric Limits For an AD and Base Types</a><br/>
4362	4362	<a href="exp_apx_main.cpp.xml" target="_top">Correctness Tests For Exponential Approximation in Introduction</a><br/>
4363		<a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
	4363	<a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
4364	4364	for<b>_</b>jac<b>_</b>sparse <a href="old_atomic.xml#for_jac_sparse" target="_top">User Defined Atomic AD Functions: for_jac_sparse</a><br/>
4365	4365	for<b>_</b>sparse<b>_</b>jac <a href="atomic_matrix_mul.hpp.xml#for_sparse_jac" target="_top">Matrix Multiply as an Atomic Operation: for_sparse_jac</a><br/>
4366	4366	<a href="atomic_mat_mul.cpp.xml#Use Atomic Function.for_sparse_jac" target="_top">User Atomic Matrix Multiply: Example and Test: Use Atomic Function.for_sparse_jac</a><br/>

4975	4975	<a href="base_require.xml#Include Order" target="_top">AD<Base> Requirements for Base Type: Include Order</a><br/>
4976	4976	<a href="exp_eps.xml#include" target="_top">An Epsilon Accurate Exponential Approximation: include</a><br/>
4977	4977	<a href="exp_2.xml#include" target="_top">Second Order Exponential Approximation: include</a><br/>
4978		<a href="cppad.xml#Include File" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Include File</a><br/>
4979		cppad<b>.</b>hpp <a href="cppad.xml#Include File" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Include File</a><br/>
	4978	<a href="cppad.xml#Include File" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Include File</a><br/>
	4979	cppad<b>.</b>hpp <a href="cppad.xml#Include File" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Include File</a><br/>
4980	4980	deprecated<b> </b>file <a href="include_deprecated.xml" target="_top">Deprecated Include Files</a><br/>
4981	4981	include<b> </b>directories<br/>
4982	4982	install <a href="cmake.xml#cmake_install_includedirs" target="_top">Using CMake to Configure CppAD: cmake_install_includedirs</a><br/>

5154	5154	<a href="example.xml#Introduction" target="_top">Examples: Introduction</a><br/>
5155	5155	<a href="exp_apx_main.cpp.xml" target="_top">Correctness Tests For Exponential Approximation in Introduction</a><br/>
5156	5156	<a href="introduction.xml" target="_top">An Introduction by Example to Algorithmic Differentiation</a><br/>
5157		<a href="cppad.xml#Introduction" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Introduction</a><br/>
5158		<a href="cppad.xml#Introduction" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Introduction</a><br/>
	5157	<a href="cppad.xml#Introduction" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Introduction</a><br/>
	5158	<a href="cppad.xml#Introduction" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Introduction</a><br/>
5159	5159	AD <a href="introduction.xml" target="_top">An Introduction by Example to Algorithmic Differentiation</a><br/>
5160	5160	inuse <a href="memory_leak.xml#inuse" target="_top">Memory Leak Detection: inuse</a><br/>
5161	5161	omp<b>_</b>alloc <a href="omp_inuse.xml#Deprecated" target="_top">Amount of Memory a Thread is Currently Using: Deprecated</a><br/>

5965	5965	<a href="faq.xml#Namespace" target="_top">Frequently Asked Questions and Answers: Namespace</a><br/>
5966	5966	<a href="faq.xml#Namespace" target="_top">Frequently Asked Questions and Answers: Namespace</a><br/>
5967	5967	<a href="cppad_eigen.hpp.xml#CppAD Namespace" target="_top">Enable Use of Eigen Linear Algebra Package with CppAD: CppAD Namespace</a><br/>
5968		<a href="cppad.xml#Namespace" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Namespace</a><br/>
5969		CppAD <a href="cppad.xml#Namespace" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Namespace</a><br/>
	5968	<a href="cppad.xml#Namespace" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Namespace</a><br/>
	5969	CppAD <a href="cppad.xml#Namespace" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Namespace</a><br/>
5970	5970	nan <a href="ode_err_control.cpp.xml#Nan" target="_top">OdeErrControl: Example and Test: Nan</a><br/>
5971	5971	<a href="odeerrcontrol.xml#Method.Nan" target="_top">An Error Controller for ODE Solvers: Method.Nan</a><br/>
5972	5972	<a href="rosen34.xml#Fun.Nan" target="_top">A 3rd and 4th Order Rosenbrock ODE Solver: Fun.Nan</a><br/>

6303	6303	<a href="atomic_afun.xml" target="_top">Using AD Version of Atomic Function</a><br/>
6304	6304	<a href="convert.xml" target="_top">Conversion and I/O of AD Objects</a><br/>
6305	6305	<a href="exp_eps.cpp.xml" target="_top">exp_eps: Test of exp_eps</a><br/>
6306		<a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
	6306	<a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
6307	6307	ok <a href="old_atomic.xml#ok" target="_top">User Defined Atomic AD Functions: ok</a><br/>
6308	6308	<a href="det_grad_33.xml#ok" target="_top">Check Gradient of Determinant of 3 by 3 matrix: ok</a><br/>
6309	6309	<a href="det_33.xml#ok" target="_top">Check Determinant of 3 by 3 matrix: ok</a><br/>

6691	6691	<a href="speed_main.xml#package" target="_top">Running the Speed Test Program: package</a><br/>
6692	6692	<a href="speed.xml" target="_top">Speed Test an Operator Overloading AD Package</a><br/>
6693	6693	<a href="cppad_eigen.hpp.xml" target="_top">Enable Use of Eigen Linear Algebra Package with CppAD</a><br/>
6694		<a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
	6694	<a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
6695	6695	prefix <a href="cmake.xml#package_prefix" target="_top">Using CMake to Configure CppAD: package_prefix</a><br/>
6696	6696	package<b>_</b>prefix <a href="cmake.xml#package_prefix" target="_top">Using CMake to Configure CppAD: package_prefix</a><br/>
6697	6697	pairs <a href="wishlist.xml#Optimization.Variable Pairs" target="_top">The CppAD Wish List: Optimization.Variable Pairs</a><br/>

6865	6865	<a href="wishlist.xml#Preprocessor Symbols" target="_top">The CppAD Wish List: Preprocessor Symbols</a><br/>
6866	6866	<a href="faq.xml#Namespace.Test Vector Preprocessor Symbol" target="_top">Frequently Asked Questions and Answers: Namespace.Test Vector Preprocessor Symbol</a><br/>
6867	6867	<a href="preprocessor.xml" target="_top">CppAD API Preprocessor Symbols</a><br/>
6868		<a href="cppad.xml#Preprocessor Symbols" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Preprocessor Symbols</a><br/>
	6868	<a href="cppad.xml#Preprocessor Symbols" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Preprocessor Symbols</a><br/>
6869	6869	CPPAD<b>_ </b>symbol <a href="preprocessor.xml" target="_top">CppAD API Preprocessor Symbols</a><br/>
6870		symbol<b> </b>CppAD <a href="cppad.xml#Preprocessor Symbols" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Preprocessor Symbols</a><br/>
	6870	symbol<b> </b>CppAD <a href="cppad.xml#Preprocessor Symbols" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Preprocessor Symbols</a><br/>
6871	6871	symbols <a href="faq.xml#Namespace.Test Vector Preprocessor Symbol" target="_top">Frequently Asked Questions and Answers: Namespace.Test Vector Preprocessor Symbol</a><br/>
6872	6872	previous <a href="whats_new.xml#Previous Years" target="_top">Changes and Additions to CppAD: Previous Years</a><br/>
6873	6873	previously <a href="tracknewdel.xml#TrackCount.Previously Deprecated" target="_top">Routines That Track Use of New and Delete: TrackCount.Previously Deprecated</a><br/>

8424	8424	<a href="exp_2_cppad.xml" target="_top">exp_2: CppAD Forward and Reverse Sweeps</a><br/>
8425	8425	symbol <a href="faq.xml#Namespace.Test Vector Preprocessor Symbol" target="_top">Frequently Asked Questions and Answers: Namespace.Test Vector Preprocessor Symbol</a><br/>
8426	8426	preprocessor<b> </b>CPPAD<b>_</b> <a href="preprocessor.xml" target="_top">CppAD API Preprocessor Symbols</a><br/>
8427		preprocessor<b> </b>CppAD <a href="cppad.xml#Preprocessor Symbols" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Preprocessor Symbols</a><br/>
	8427	preprocessor<b> </b>CppAD <a href="cppad.xml#Preprocessor Symbols" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Preprocessor Symbols</a><br/>
8428	8428	symbols <a href="wishlist.xml#Preprocessor Symbols" target="_top">The CppAD Wish List: Preprocessor Symbols</a><br/>
8429	8429	<a href="preprocessor.xml" target="_top">CppAD API Preprocessor Symbols</a><br/>
8430		<a href="cppad.xml#Preprocessor Symbols" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Preprocessor Symbols</a><br/>
	8430	<a href="cppad.xml#Preprocessor Symbols" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Preprocessor Symbols</a><br/>
8431	8431	preprocessor <a href="faq.xml#Namespace.Test Vector Preprocessor Symbol" target="_top">Frequently Asked Questions and Answers: Namespace.Test Vector Preprocessor Symbol</a><br/>
8432	8432	syntax <a href="time_det_by_minor_c.xml#Syntax" target="_top">Determine Amount of Time to Execute det_by_minor: Syntax</a><br/>
8433	8433	<a href="elapsed_seconds_c.xml#Syntax" target="_top">Returns Elapsed Number of Seconds: Syntax</a><br/>

8605	8605	<a href="get_eigen.sh.xml#Syntax" target="_top">Download and Install Eigen in Build Directory: Syntax</a><br/>
8606	8606	<a href="get_colpack.sh.xml#Syntax" target="_top">Download and Install ColPack in Build Directory: Syntax</a><br/>
8607	8607	<a href="get_adolc.sh.xml#Syntax" target="_top">Download and Install Adolc in Build Directory: Syntax</a><br/>
8608		<a href="cppad.xml#Syntax" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms: Syntax</a><br/>
	8608	<a href="cppad.xml#Syntax" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms: Syntax</a><br/>
8609	8609	systems <a href="elapsed_seconds.xml#Microsoft Systems" target="_top">Returns Elapsed Number of Seconds: Microsoft Systems</a><br/>
8610	8610
8611	8611	<b><big><a name="T">T</a></big></b>

9886	9886	<a href="discrete.xml#Create AD Version" target="_top">Discrete AD Functions: Create AD Version</a><br/>
9887	9887	<a href="download.xml#Subversion.Current Version" target="_top">Download The CppAD Source Code: Subversion.Current Version</a><br/>
9888	9888	<a href="download.xml#Compressed Archives.Current Version" target="_top">Download The CppAD Source Code: Compressed Archives.Current Version</a><br/>
9889		CppAD <a href="cppad.xml" target="_top">cppad-20150000.7: A Package for Differentiation of C++ Algorithms</a><br/>
	9889	CppAD <a href="cppad.xml" target="_top">cppad-20150000.8: A Package for Differentiation of C++ Algorithms</a><br/>
9890	9890	version<b>)</b> <a href="double_mat_mul.cpp.xml" target="_top">CppAD Speed: Matrix Multiplication (Double Version)</a><br/>
9891	9891	versions <a href="download.xml#Subversion.Release Versions" target="_top">Download The CppAD Source Code: Subversion.Release Versions</a><br/>
9892	9892	<a href="download.xml#Subversion.Stable Versions" target="_top">Download The CppAD Source Code: Subversion.Stable Versions</a><br/>

-1

doc/_reference.xml less more

204	204	<a href="correct_det_by_minor_c.xml" target="_top">correct_det_by_minor_c</a><br/> </td><td> Correctness Test of det_by_minor Routine </td></tr><tr valign="top"><td>
205	205	<a href="cos.cpp.xml" target="_top">cos.cpp</a><br/> </td><td> The AD cos Function: Example and Test </td></tr><tr valign="top"><td>
206	206	<a href="cosh.cpp.xml" target="_top">cosh.cpp</a><br/> </td><td> The AD cosh Function: Example and Test </td></tr><tr valign="top"><td>
207		<a href="cppad.xml" target="_top">CppAD</a><br/> </td><td> cppad-20150000.7: A Package for Differentiation of C++ Algorithms </td></tr><tr valign="top"><td>
	207	<a href="cppad.xml" target="_top">CppAD</a><br/> </td><td> cppad-20150000.8: A Package for Differentiation of C++ Algorithms </td></tr><tr valign="top"><td>
208	208	<a href="cppad_assert.xml" target="_top">cppad_assert</a><br/> </td><td> CppAD Assertions During Execution </td></tr><tr valign="top"><td>
209	209	<a href="cppad_det_lu.cpp.xml" target="_top">cppad_det_lu.cpp</a><br/> </td><td> CppAD Speed: Gradient of Determinant Using Lu Factorization </td></tr><tr valign="top"><td>
210	210	<a href="cppad_det_minor.cpp.xml" target="_top">cppad_det_minor.cpp</a><br/> </td><td> CppAD Speed: Gradient of Determinant by Minor Expansion </td></tr><tr valign="top"><td>

-1

doc/_search.xml.js less more

2	2	// -------------------------------------------------------
3	3	Keyword =
4	4	[
5		'CppAD cppad-20150000.7: A Package for Differentiation of C++ Algorithms ',' algorithmic automatic derivative version syntax introduction example include file cppad.hpp preprocessor symbols namespace ',
	5	'CppAD cppad-20150000.8: A Package for Differentiation of C++ Algorithms ',' algorithmic automatic derivative version syntax introduction example include file cppad.hpp preprocessor symbols namespace ',
6	6	'Install CppAD Download, Test, and Install Instructions ',' step 1: 2: cmake 3: check 4: ',
7	7	'download Download The CppAD Source Code ',' purpose distribution directory compressed archives current version release versions monthly unix file extraction windows install instructions subversion limitations stable ',
8	8	'cmake Using CMake to Configure CppAD ',' the program command build directory generator makefile cmake_install_prefix cmake_install_includedirs directories cmake_install_datadir cmake_install_docdir cmake_install_libdirs library cmake_install_postfix package_prefix cppad_cxx_flags c++ compile cppad_testvector cppad_max_num_threads maximum number cppad_sparse_list sparsity internal structure of sets cppad_tape_id_type memory usage cstdint cppad_tape_addr_type cppad_implicit_ctor_from_any_type explicit ',

-4

doc/cppad.xml less more

2	2	xmlns:math='http://www.w3.org/1998/Math/MathML'
3	3	>
4	4	<head>
5		<title>cppad-20150000.7: A Package for Differentiation of C++ Algorithms</title>
	5	<title>cppad-20150000.8: A Package for Differentiation of C++ Algorithms</title>
6	6	<meta http-equiv='Content-Type' content='text/html' charset='utf-8'/>
7		<meta name="description" id="description" content="cppad-20150000.7: A Package for Differentiation of C++ Algorithms"/>
8		<meta name="keywords" id="keywords" content=" Ad algorithmic differentiation automatic C++ algorithm derivative Cppad version cppad-20150000.7: a package for of c++ algorithms syntax introduction example include file cppad.hpp preprocessor symbols symbol namespace "/>
	7	<meta name="description" id="description" content="cppad-20150000.8: A Package for Differentiation of C++ Algorithms"/>
	8	<meta name="keywords" id="keywords" content=" Ad algorithmic differentiation automatic C++ algorithm derivative Cppad version cppad-20150000.8: a package for of c++ algorithms syntax introduction example include file cppad.hpp preprocessor symbols symbol namespace "/>
9	9	<style type='text/css'>
10	10	body { color : black }
11	11	body { background-color : white }

75	75
76	76
77	77
78		<center><b><big><big>cppad-20150000.7: A Package for Differentiation of C++ Algorithms</big></big></b></center>
	78	<center><b><big><big>cppad-20150000.8: A Package for Differentiation of C++ Algorithms</big></big></b></center>
79	79	<br/>
80	80	<b><big><a name="Syntax" id="Syntax">Syntax</a></big></b>
81	81

-2

doc/download.xml less more

121	121
122	122	current </td><td align='left' valign='top'>
123	123	EPL </td><td align='left' valign='top'>
124		<a href="http://www.coin-or.org/download/source/CppAD/cppad-20150000.7.epl.tgz" target="_top"><span style='white-space: nowrap'>cppad-20150000.7.epl.tgz</span></a>
	124	<a href="http://www.coin-or.org/download/source/CppAD/cppad-20150000.8.epl.tgz" target="_top"><span style='white-space: nowrap'>cppad-20150000.8.epl.tgz</span></a>
125	125
126	126	</td></tr><tr><td align='left' valign='top'>
127	127
128	128	current </td><td align='left' valign='top'>
129	129	GPL </td><td align='left' valign='top'>
130		<a href="http://www.coin-or.org/download/source/CppAD/cppad-20150000.7.gpl.tgz" target="_top"><span style='white-space: nowrap'>cppad-20150000.7.gpl.tgz</span></a>
	130	<a href="http://www.coin-or.org/download/source/CppAD/cppad-20150000.8.gpl.tgz" target="_top"><span style='white-space: nowrap'>cppad-20150000.8.gpl.tgz</span></a>
131	131
132	132	</td></tr><tr><td align='left' valign='top'>
133	133

-2

doc.omh less more

0		$Id: doc.omh 3643 2015-02-12 11:47:46Z bradbell $
	0	$Id: doc.omh 3647 2015-02-15 01:06:13Z bradbell $
1	1	/* --------------------------------------------------------------------------
2	2	CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-13 Bradley M. Bell
3	3

94	94
95	95	$comment bin/version assumes that : follows cppad version number here$$
96	96	$section
97		cppad-20150000.7: A Package for Differentiation of C++ Algorithms
	97	cppad-20150000.8: A Package for Differentiation of C++ Algorithms
98	98	$$
99	99
100	100	$comment This comment is used to remove the table below$$

-5

omh/install/download.omh less more

0		$Id: download.omh 3643 2015-02-12 11:47:46Z bradbell $
	0	$Id: download.omh 3647 2015-02-15 01:06:13Z bradbell $
1	1	/* --------------------------------------------------------------------------
2	2	CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-13 Bradley M. Bell
3	3

62	62	$bold version$$ $pre $$ $cnext $bold license$$ $pre $$ $cnext $bold link$$
63	63	$rnext
64	64	current $cnext EPL $cnext $href%
65		http://www.coin-or.org/download/source/CppAD/cppad-20150000.7.epl.tgz%
66		cppad-20150000.7.epl.tgz%$$
	65	http://www.coin-or.org/download/source/CppAD/cppad-20150000.8.epl.tgz%
	66	cppad-20150000.8.epl.tgz%$$
67	67	$rnext
68	68	current $cnext GPL $cnext $href%
69		http://www.coin-or.org/download/source/CppAD/cppad-20150000.7.gpl.tgz%
70		cppad-20150000.7.gpl.tgz%$$
	69	http://www.coin-or.org/download/source/CppAD/cppad-20150000.8.gpl.tgz%
	70	cppad-20150000.8.gpl.tgz%$$
71	71	$rnext
72	72	old $cnext Both $cnext
73	73	$href%http://www.coin-or.org/download/source/CppAD/%CppAD download page%$$

+139

-91

test_more/erf.cpp less more

0		/* $Id: erf.cpp 3501 2014-12-25 01:10:32Z bradbell $ */
	0	/* $Id: erf.cpp 3647 2015-02-15 01:06:13Z bradbell $ */
1	1	/* --------------------------------------------------------------------------
2		CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-13 Bradley M. Bell
	2	CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-15 Bradley M. Bell
3	3
4	4	CppAD is distributed under multiple licenses. This distribution is under
5		the terms of the
	5	the terms of the
6	6	GNU General Public License Version 3.
7	7
8	8	A copy of this license is included in the COPYING file of this distribution.
9	9	Please visit http://www.coin-or.org/CppAD/ for information on other licenses.
10	10	-------------------------------------------------------------------------- */
11	11
12		/*
13		Old example now just used for validation testing
14		*/
15
16	12	# include <cppad/cppad.hpp>
17	13
	14	namespace {
	15	bool old_example(void)
	16	{ bool ok = true;
	17	using namespace CppAD;
	18	using CppAD::atan;
	19	using CppAD::exp;
	20	using CppAD::sqrt;
	21	# if CPPAD_COMPILER_HAS_ERF
	22	double eps = 100.0 * std::numeric_limits<double>::epsilon();
	23	# endif
	24	// Construct function object corresponding to erf
	25	CPPAD_TESTVECTOR(AD<double>) ax(1);
	26	CPPAD_TESTVECTOR(AD<double>) ay(1);
	27	ax[0] = 0.;
	28	Independent(ax);
	29	ay[0] = erf(ax[0]);
	30	ADFun<double> f(ax, ay);
	31
	32	// Construct function object corresponding to derivative of erf
	33	Independent(ax);
	34	double pi = 4.0 * atan(1.0);
	35	ay[0] = exp( - ax[0] * ax[0] ) * 2.0 / sqrt(pi);
	36	ADFun<double> df(ax, ay);
	37
	38	// vectors to use with function object
	39	CPPAD_TESTVECTOR(double) x0(1), y0(1), x1(1), y1(1), check(1);
	40
	41	// check value at zero
	42	x0[0] = 1.5;
	43	y0 = f.Forward(0, x0);
	44	check[0] = 0.96611;
	45	ok &= std::fabs(check[0] - y0[0]) <= 4e-4;
	46
	47	// check the derivative of error function
	48	x1[0] = 1.0;
	49	y1 = f.Forward(1, x1);
	50	check = df.Forward(0, x0);
	51	ok &= NearEqual(check[0], y1[0], 0., 2e-3);
	52	# if CPPAD_COMPILER_HAS_ERF
	53	ok &= NearEqual(check[0], y1[0], eps, eps);
	54	# endif
	55
	56	// check second derivative
	57	CPPAD_TESTVECTOR(double) x2(1), y2(1);
	58	x2[0] = 0.0;
	59	y2 = f.Forward(2, x2);
	60	check = df.Forward(1, x1);
	61	ok &= NearEqual(check[0] / 2.0, y2[0], 0., 2e-3);
	62	# if CPPAD_COMPILER_HAS_ERF
	63	ok &= NearEqual(check[0] / 2.0, y2[0], eps, eps);
	64	# endif
	65
	66	// check third derivative
	67	CPPAD_TESTVECTOR(double) x3(1), y3(1);
	68	x3[0] = 0.0;
	69	y3 = f.Forward(3, x3);
	70	check = df.Forward(2, x2);
	71	ok &= NearEqual(check[0] / 3.0, y3[0], 0., 2e-3);
	72	# if CPPAD_COMPILER_HAS_ERF
	73	ok &= NearEqual(check[0] / 3.0, y3[0], eps, eps);
	74	# endif
	75
	76	// check 4-th order of reverse mode
	77	CPPAD_TESTVECTOR(double) w(1), dy(4), x4(1), y4(1);
	78	x4[0] = 0.0;
	79	w[0] = 1.0;
	80	dy = f.Reverse(4, w);
	81	y4 = f.Forward(4, x4);
	82	//
	83	ok &= NearEqual(dy[0], y1[0], 0., 2e-3);
	84	# if CPPAD_COMPILER_HAS_ERF
	85	ok &= NearEqual(dy[0], y1[0], eps, eps);
	86	# endif
	87	//
	88	ok &= NearEqual(dy[1], 2.0 * y2[0], 0., 2e-3);
	89	# if CPPAD_COMPILER_HAS_ERF
	90	ok &= NearEqual(dy[1], 2.0 * y2[0], eps, eps);
	91	# endif
	92	//
	93	ok &= NearEqual(dy[2], 3.0 * y3[0], 0., 2e-3);
	94	# if CPPAD_COMPILER_HAS_ERF
	95	ok &= NearEqual(dy[2], 3.0 * y3[0], eps, eps);
	96	# endif
	97	//
	98	ok &= NearEqual(dy[3], 4.0 * y4[0], 0., 2e-3);
	99	# if CPPAD_COMPILER_HAS_ERF
	100	ok &= NearEqual(dy[3], 4.0 * y4[0], eps, eps);
	101	# endif
	102
	103	return ok;
	104	}
	105	bool hessian(void)
	106	{ bool ok = true;
	107	double eps = 1.0 * std::numeric_limits<double>::epsilon();
	108	using CppAD::vector;
	109	using CppAD::AD;
	110
	111	size_t n = 2;
	112	size_t m = 1;
	113	vector<double> x(n), w(m);
	114	w[0] = 1.0;
	115	vector< AD<double> > ax(n), ay(m);
	116	ax[0] = x[0] = 0.5;
	117	ax[1] = x[1] = 0.0;
	118
	119	// construct function
	120	CppAD::Independent(ax);
	121	ay[0] = erf( 2.0 * ax[0] );
	122	CppAD::ADFun<double> f(ax, ay);
	123
	124	// dense hessian
	125	vector<double> dense_hess = f.Hessian(x, 0);
	126
	127	// sparse_hessian
	128	vector<double> sparse_hess = f.SparseHessian(x, w);
	129
	130	// Define g(u) = erf(2 * u)
	131	// g'(u) = 2 * erf'(2 * u)
	132	// = 2 * exp( - 2 * u * 2 * u ) * 2 / sqrt(pi)
	133	// = exp( - 4 * u * u ) * 4 / sqrt(pi)
	134	// g''(u) = - exp( - 4 * u * u ) * 32 * u / sqrt(pi)
	135	double root_pi = std::sqrt( 4.0 * atan(1.0) );
	136	double check = -std::exp(-4.0 * x[0] * x[0]) * 32.0 * x[0] / root_pi;
	137
	138	ok &= CppAD::NearEqual(dense_hess[0], check, eps, eps);
	139	ok &= CppAD::NearEqual(sparse_hess[0], check, eps, eps);
	140
	141	for(size_t k = 1; k < n * n; k++)
	142	{ ok &= CppAD::NearEqual(dense_hess[k], 0.0, eps, eps);
	143	ok &= CppAD::NearEqual(sparse_hess[k], 0.0, eps, eps);
	144	}
	145	return ok;
	146	}
	147	}
18	148	bool Erf(void)
19	149	{ bool ok = true;
20		using namespace CppAD;
21		using CppAD::atan;
22		using CppAD::exp;
23		using CppAD::sqrt;
	150	ok &= old_example();
24	151	# if CPPAD_COMPILER_HAS_ERF
25		double eps = 100.0 * std::numeric_limits<double>::epsilon();
	152	ok &= hessian();
26	153	# endif
27		// Construct function object corresponding to erf
28		CPPAD_TESTVECTOR(AD<double>) ax(1);
29		CPPAD_TESTVECTOR(AD<double>) ay(1);
30		ax[0] = 0.;
31		Independent(ax);
32		ay[0] = erf(ax[0]);
33		ADFun<double> f(ax, ay);
34
35		// Construct function object corresponding to derivative of erf
36		Independent(ax);
37		double pi = 4.0 * atan(1.0);
38		ay[0] = exp( - ax[0] * ax[0] ) * 2.0 / sqrt(pi);
39		ADFun<double> df(ax, ay);
40
41		// vectors to use with function object
42		CPPAD_TESTVECTOR(double) x0(1), y0(1), x1(1), y1(1), check(1);
43
44		// check value at zero
45		x0[0] = 1.5;
46		y0 = f.Forward(0, x0);
47		check[0] = 0.96611;
48		ok &= std::fabs(check[0] - y0[0]) <= 4e-4;
49
50		// check the derivative of error function
51		x1[0] = 1.0;
52		y1 = f.Forward(1, x1);
53		check = df.Forward(0, x0);
54		ok &= NearEqual(check[0], y1[0], 0., 2e-3);
55		# if CPPAD_COMPILER_HAS_ERF
56		ok &= NearEqual(check[0], y1[0], eps, eps);
57		# endif
58
59		// check second derivative
60		CPPAD_TESTVECTOR(double) x2(1), y2(1);
61		x2[0] = 0.0;
62		y2 = f.Forward(2, x2);
63		check = df.Forward(1, x1);
64		ok &= NearEqual(check[0] / 2.0, y2[0], 0., 2e-3);
65		# if CPPAD_COMPILER_HAS_ERF
66		ok &= NearEqual(check[0] / 2.0, y2[0], eps, eps);
67		# endif
68
69		// check third derivative
70		CPPAD_TESTVECTOR(double) x3(1), y3(1);
71		x3[0] = 0.0;
72		y3 = f.Forward(3, x3);
73		check = df.Forward(2, x2);
74		ok &= NearEqual(check[0] / 3.0, y3[0], 0., 2e-3);
75		# if CPPAD_COMPILER_HAS_ERF
76		ok &= NearEqual(check[0] / 3.0, y3[0], eps, eps);
77		# endif
78
79		// check 4-th order of reverse mode
80		CPPAD_TESTVECTOR(double) w(1), dy(4), x4(1), y4(1);
81		x4[0] = 0.0;
82		w[0] = 1.0;
83		dy = f.Reverse(4, w);
84		y4 = f.Forward(4, x4);
85		//
86		ok &= NearEqual(dy[0], y1[0], 0., 2e-3);
87		# if CPPAD_COMPILER_HAS_ERF
88		ok &= NearEqual(dy[0], y1[0], eps, eps);
89		# endif
90		//
91		ok &= NearEqual(dy[1], 2.0 * y2[0], 0., 2e-3);
92		# if CPPAD_COMPILER_HAS_ERF
93		ok &= NearEqual(dy[1], 2.0 * y2[0], eps, eps);
94		# endif
95		//
96		ok &= NearEqual(dy[2], 3.0 * y3[0], 0., 2e-3);
97		# if CPPAD_COMPILER_HAS_ERF
98		ok &= NearEqual(dy[2], 3.0 * y3[0], eps, eps);
99		# endif
100		//
101		ok &= NearEqual(dy[3], 4.0 * y4[0], 0., 2e-3);
102		# if CPPAD_COMPILER_HAS_ERF
103		ok &= NearEqual(dy[3], 4.0 * y4[0], eps, eps);
104		# endif
105
106	154	return ok;
107	155	}