2011-06-26 23:13:43 +01:00
										 
									 
								 
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								/******************************************************************************\
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								*                                                                              *
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								*    SimpleCUDD library (www.cs.kuleuven.be/~theo/tools/simplecudd.html)       *
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								*  SimpleCUDD was developed at Katholieke Universiteit Leuven(www.kuleuven.be) *
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								*                                                                              *
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								*  Copyright T. Mantadelis, A. Kimmig, B. Gutmann                              *
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								*            and Katholieke Universiteit Leuven 2008                           *
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								*                                                                              *
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								*  Author:       Bernd Gutmann                                                 *
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								*  File:         problogmath.h                                                 *
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								*  $Date:: 2009-08-17 17:45:21 +0200 (Mon, 17 Aug 2009)           $            *
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								*  $Revision:: 1900                                               $            *
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								*                                                                              *
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								*                                                                              *
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								********************************************************************************
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								*                                                                              *
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								*        The "Artistic License"                                                *
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								*                                                                              *
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								*         Preamble                                                             *
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								*                                                                              *
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								* The intent of this document is to state the conditions under which a         *
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								* Package may be copied, such that the Copyright Holder maintains some         *
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								* semblance of artistic control over the development of the package,           *
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								* while giving the users of the package the right to use and distribute        *
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								* the Package in a more-or-less customary fashion, plus the right to make      *
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								* reasonable modifications.                                                    *
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								*                                                                              *
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								* Definitions:                                                                 *
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								*                                                                              *
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								*   "Package" refers to the collection of files distributed by the             *
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								*   Copyright Holder, and derivatives of that collection of files              *
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								*   created through textual modification.                                      *
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								*                                                                              *
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								*   "Standard Version" refers to such a Package if it has not been             *
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								*   modified, or has been modified in accordance with the wishes               *
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								*   of the Copyright Holder as specified below.                                *
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								*                                                                              *
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								*   "Copyright Holder" is whoever is named in the copyright or                 *
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								*   copyrights for the package.                                                *
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								*                                                                              *
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								*   "You" is you, if you're thinking about copying or distributing             *
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								*   this Package.                                                              *
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								*                                                                              *
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								*   "Reasonable copying fee" is whatever you can justify on the                *
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								*   basis of media cost, duplication charges, time of people involved,         *
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								*   and so on.  (You will not be required to justify it to the                 *
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								*   Copyright Holder, but only to the computing community at large             *
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								*   as a market that must bear the fee.)                                       *
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								*                                                                              *
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								*   "Freely Available" means that no fee is charged for the item               *
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								*   itself, though there may be fees involved in handling the item.            *
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								*   It also means that recipients of the item may redistribute it              *
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								*   under the same conditions they received it.                                *
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								*                                                                              *
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								* 1. You may make and give away verbatim copies of the source form of the      *
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								* Standard Version of this Package without restriction, provided that you      *
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								* duplicate all of the original copyright notices and associated disclaimers.  *
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								*                                                                              *
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								* 2. You may apply bug fixes, portability fixes and other modifications        *
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								* derived from the Public Domain or from the Copyright Holder.  A Package      *
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								* modified in such a way shall still be considered the Standard Version.       *
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								*                                                                              *
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								* 3. You may otherwise modify your copy of this Package in any way, provided   *
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								* that you insert a prominent notice in each changed file stating how and      *
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								* when you changed that file, and provided that you do at least ONE of the     *
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								* following:                                                                   *
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								*                                                                              *
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								*    a) place your modifications in the Public Domain or otherwise make them   *
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								*    Freely Available, such as by posting said modifications to Usenet or      *
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								*    an equivalent medium, or placing the modifications on a major archive     *
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								*    site such as uunet.uu.net, or by allowing the Copyright Holder to include *
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								*    your modifications in the Standard Version of the Package.                *
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								*                                                                              *
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								*    b) use the modified Package only within your corporation or organization. *
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								*                                                                              *
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								*    c) rename any non-standard executables so the names do not conflict       *
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								*    with standard executables, which must also be provided, and provide       *
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								*    a separate manual page for each non-standard executable that clearly      *
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								*    documents how it differs from the Standard Version.                       *
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								*                                                                              *
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								*    d) make other distribution arrangements with the Copyright Holder.        *
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								*                                                                              *
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								* 4. You may distribute the programs of this Package in object code or         *
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								* executable form, provided that you do at least ONE of the following:         *
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								*                                                                              *
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								*    a) distribute a Standard Version of the executables and library files,    *
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								*    together with instructions (in the manual page or equivalent) on where    *
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								*    to get the Standard Version.                                              *
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								*                                                                              *
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								*    b) accompany the distribution with the machine-readable source of         *
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								*    the Package with your modifications.                                      *
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								*                                                                              *
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								*    c) give non-standard executables non-standard names, and clearly          *
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								*    document the differences in manual pages (or equivalent), together        *
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								*    with instructions on where to get the Standard Version.                   *
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								*                                                                              *
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								*    d) make other distribution arrangements with the Copyright Holder.        *
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								*                                                                              *
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								* 5. You may charge a reasonable copying fee for any distribution of this      *
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								* Package.  You may charge any fee you choose for support of this              *
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								* Package.  You may not charge a fee for this Package itself.  However,        *
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								* you may distribute this Package in aggregate with other (possibly            *
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								* commercial) programs as part of a larger (possibly commercial) software      *
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								* distribution provided that you do not advertise this Package as a            *
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								* product of your own.  You may embed this Package's interpreter within        *
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								* an executable of yours (by linking); this shall be construed as a mere       *
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								* form of aggregation, provided that the complete Standard Version of the      *
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								* interpreter is so embedded.                                                  *
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								*                                                                              *
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								* 6. The scripts and library files supplied as input to or produced as         *
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								* output from the programs of this Package do not automatically fall           *
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								* under the copyright of this Package, but belong to whoever generated         *
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								* them, and may be sold commercially, and may be aggregated with this          *
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								* Package.  If such scripts or library files are aggregated with this          *
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								* Package via the so-called "undump" or "unexec" methods of producing a        *
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								* binary executable image, then distribution of such an image shall            *
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								* neither be construed as a distribution of this Package nor shall it          *
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								* fall under the restrictions of Paragraphs 3 and 4, provided that you do      *
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								* not represent such an executable image as a Standard Version of this         *
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								* Package.                                                                     *
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								*                                                                              *
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								* 7. C subroutines (or comparably compiled subroutines in other                *
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								* languages) supplied by you and linked into this Package in order to          *
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								* emulate subroutines and variables of the language defined by this            *
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								* Package shall not be considered part of this Package, but are the            *
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								* equivalent of input as in Paragraph 6, provided these subroutines do         *
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								* not change the language in any way that would cause it to fail the           *
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								* regression tests for the language.                                           *
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								*                                                                              *
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								* 8. Aggregation of this Package with a commercial distribution is always      *
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								* permitted provided that the use of this Package is embedded; that is,        *
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								* when no overt attempt is made to make this Package's interfaces visible      *
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								* to the end user of the commercial distribution.  Such use shall not be       *
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								* construed as a distribution of this Package.                                 *
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								*                                                                              *
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								* 9. The name of the Copyright Holder may not be used to endorse or promote    *
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								* products derived from this software without specific prior written           *
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								* permission.                                                                  *
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								*                                                                              *
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								* 10. THIS PACKAGE IS PROVIDED "AS IS" AND WITHOUT ANY EXPRESS OR              *
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								* IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED               *
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								* WARRANTIES OF MERCHANTIBILITY AND FITNESS FOR A PARTICULAR PURPOSE.          *
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								*         The End                                                              *
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								*                                                                              *
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								\******************************************************************************/
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								#include <math.h>
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								#include <float.h>
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								#include <stdio.h>
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								#include <stdlib.h>
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								#include <string.h>
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								typedef struct _density_integral {
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								  double low;
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								  double high;
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								  double mu;
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								  double sigma;
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								} density_integral;
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								double sigmoid(double x, double slope);
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								double normal(double x, double mu,double sigma);
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								double Phi(double x);
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								double cumulative_normal(double low, double high, double sigma, double mu);
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								double cumulative_normal_dmu(double low, double high,double mu,double sigma);
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								double cumulative_normal_dsigma(double low, double high,double mu,double sigma);
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								density_integral parse_density_integral_string(char *input, char *variablename);
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