/usr/include/adolc/adouble.h is in libadolc-dev 2.4.1-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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ADOL-C -- Automatic Differentiation by Overloading in C++
Revision: $Id: adouble.h 378 2012-12-14 11:42:17Z kulshres $
Contents: adouble.h contains the basis for the class of adouble
included here are all the possible functions defined on
the adouble class. Notice that, as opposed to ealier versions,
both the class adub and the class adouble are derived from a base
class (badouble). See below for further explanation.
Copyright (c) Andrea Walther, Andreas Griewank, Andreas Kowarz,
Hristo Mitev, Sebastian Schlenkrich, Jean Utke, Olaf Vogel,
Kshitij Kulshreshtha
This file is part of ADOL-C. This software is provided as open source.
Any use, reproduction, or distribution of the software constitutes
recipient's acceptance of the terms of the accompanying license file.
---------------------------------------------------------------------------*/
#if !defined(ADOLC_ADOUBLE_H)
#define ADOLC_ADOUBLE_H 1
/****************************************************************************/
/* THIS FILE IS C++ */
#ifdef __cplusplus
#include <cstdio>
#include <cstdlib>
#include <iostream>
#include <cmath>
using std::cout;
using std::cin;
using std::cerr;
using std::ostream;
using std::istream;
#include <adolc/common.h>
/* NOTICE: There are automatic includes at the end of this file! */
#undef TAPELESS
#undef SAFE
#if defined(ADOLC_TAPELESS)
# define TAPELESS
# undef SAFE
#endif
#if defined(SAFE_ADOLC_TAPELESS)
# define TAPELESS
# define SAFE
#endif
#if !defined(TAPELESS)
/****************************************************************************/
/* FORWARD DECLARATIONS (TAPES) */
/*--------------------------------------------------------------------------*/
class adouble;
class adub;
class badouble;
/*--------------------------------------------------------------------------*/
void ADOLC_DLL_EXPORT condassign( double &res, const double &cond,
const double &arg1, const double &arg2 );
void ADOLC_DLL_EXPORT condassign( double &res, const double &cond,
const double &arg );
/****************************************************************************/
/* CLASS BADOUBLE */
/**
The class badouble contains the basic definitions for
the arithmetic operations, comparisons, etc.
This is a basic class from which the adub and adouble are
derived. Notice that the constructors/destructors for
the class badouble are of the trivial variety. This is the
main difference among badoubles, adubs, and adoubles.
*/
class ADOLC_DLL_EXPORT badouble {
protected:
locint location;
badouble( void ) {};
// must be public when using gcc >= 3.4 ( problems with value() )
// (see GCC 3.4 Release Series - Changes, New Features, and Fixes)
//
// badouble( const badouble& a ) {location = a.location;};
explicit badouble( locint lo ) {
location = lo;
};
public:
/*--------------------------------------------------------------------------*/
badouble( const badouble& a ) {
location = a.location;
}
; /* ctor */
inline locint loc( void ) const; /* Helpful stuff */
/*------------------------------------------------------------------------*/
badouble& operator >>= ( double& ); /* Assignments */
badouble& operator <<= ( double );
void declareIndependent ();
void declareDependent ();
badouble& operator = ( double );
badouble& operator = ( const badouble& );
badouble& operator = ( const adub& );
double getValue() const;
inline double value() const {
return getValue();
}
void setValue ( const double );
/* badouble& operator = ( const adouble& );
!!! olvo 991210: was the same as badouble-assignment */
/*--------------------------------------------------------------------------*/
friend ADOLC_DLL_EXPORT std::ostream& operator << ( std::ostream&, const badouble& ); /* IO friends */
friend ADOLC_DLL_EXPORT std::istream& operator >> ( std::istream&, const badouble& );
/*------------------------------------------------------------------------*/
badouble& operator += ( double ); /* Operation + Assignment */
badouble& operator += ( const badouble& );
badouble& operator -= ( double y );
badouble& operator -= ( const badouble& );
badouble& operator *= ( double );
badouble& operator *= ( const badouble& );
badouble& operator /= ( double );
badouble& operator /= ( const badouble& );
/* olvo 991122 n2l: new special op_codes */
badouble& operator += ( const adub& );
badouble& operator -= ( const adub& );
/*--------------------------------------------------------------------------*/
/* Comparison (friends) */
#if defined(ADOLC_ADVANCED_BRANCHING)
friend ADOLC_DLL_EXPORT adub operator != ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator == ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator <= ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator >= ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator > ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator < ( const badouble&, const badouble& );
#else
inline friend int operator != ( const badouble&, const badouble& );
inline friend int operator == ( const badouble&, const badouble& );
inline friend int operator <= ( const badouble&, const badouble& );
inline friend int operator >= ( const badouble&, const badouble& );
inline friend int operator > ( const badouble&, const badouble& );
inline friend int operator < ( const badouble&, const badouble& );
#endif
inline friend int operator != ( double, const badouble& );
friend ADOLC_DLL_EXPORT int operator != ( const badouble&, double );
inline friend int operator == ( double, const badouble& );
friend ADOLC_DLL_EXPORT int operator == ( const badouble&, double );
inline friend int operator <= ( double, const badouble& );
friend ADOLC_DLL_EXPORT int operator <= ( const badouble&, double );
inline friend int operator >= ( double, const badouble& );
friend ADOLC_DLL_EXPORT int operator >= ( const badouble&, double );
inline friend int operator > ( double, const badouble& );
friend ADOLC_DLL_EXPORT int operator > ( const badouble&, double );
inline friend int operator < ( double, const badouble& );
friend ADOLC_DLL_EXPORT int operator < ( const badouble&, double );
/*--------------------------------------------------------------------------*/
/* sign operators (friends) */
friend ADOLC_DLL_EXPORT adub operator + ( const badouble& x );
friend ADOLC_DLL_EXPORT adub operator - ( const badouble& x );
/*--------------------------------------------------------------------------*/
/* binary operators (friends) */
friend ADOLC_DLL_EXPORT adub operator + ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator + ( double, const badouble& );
friend ADOLC_DLL_EXPORT adub operator + ( const badouble&, double );
friend ADOLC_DLL_EXPORT adub operator - ( const badouble&, const badouble& );
inline friend adub operator - ( const badouble&, double );
friend ADOLC_DLL_EXPORT adub operator - ( double, const badouble& );
friend ADOLC_DLL_EXPORT adub operator * ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator * ( double, const badouble& );
inline friend adub operator * ( const badouble&, double );
inline friend adub operator / ( const badouble&, double );
friend ADOLC_DLL_EXPORT adub operator / ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator / ( double, const badouble& );
/*--------------------------------------------------------------------------*/
/* unary operators (friends) */
friend ADOLC_DLL_EXPORT adub exp ( const badouble& );
friend ADOLC_DLL_EXPORT adub log ( const badouble& );
friend ADOLC_DLL_EXPORT adub sqrt ( const badouble& );
friend ADOLC_DLL_EXPORT adub sin ( const badouble& );
friend ADOLC_DLL_EXPORT adub cos ( const badouble& );
friend ADOLC_DLL_EXPORT adub tan ( const badouble& );
friend ADOLC_DLL_EXPORT adub asin ( const badouble& );
friend ADOLC_DLL_EXPORT adub acos ( const badouble& );
friend ADOLC_DLL_EXPORT adub atan ( const badouble& );
/*--------------------------------------------------------------------------*/
/* special operators (friends) */
friend ADOLC_DLL_EXPORT adouble atan2 ( const badouble&, const badouble& );
/* no internal use of condassign: */
friend ADOLC_DLL_EXPORT adub pow ( const badouble&, double );
/* uses condassign internally */
friend ADOLC_DLL_EXPORT adouble pow ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adouble pow ( double, const badouble& );
friend ADOLC_DLL_EXPORT adub log10 ( const badouble& );
/* User defined version of logarithm to test extend_quad macro */
friend ADOLC_DLL_EXPORT adouble myquad( const badouble& );
/*--------------------------------------------------------------------------*/
/* Additional ANSI C standard Math functions Added by DWJ on 8/6/90 */
friend ADOLC_DLL_EXPORT adub sinh ( const badouble& );
friend ADOLC_DLL_EXPORT adub cosh ( const badouble& );
friend ADOLC_DLL_EXPORT adub tanh ( const badouble& );
#if defined(ATRIG_ERF)
friend ADOLC_DLL_EXPORT adub asinh ( const badouble& );
friend ADOLC_DLL_EXPORT adub acosh ( const badouble& );
friend ADOLC_DLL_EXPORT adub atanh ( const badouble& );
#endif
friend ADOLC_DLL_EXPORT adub fabs ( const badouble& );
friend ADOLC_DLL_EXPORT adub ceil ( const badouble& );
friend ADOLC_DLL_EXPORT adub floor ( const badouble& );
friend ADOLC_DLL_EXPORT adub fmax ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub fmax ( double, const badouble& );
friend ADOLC_DLL_EXPORT adub fmax ( const badouble&, double );
friend ADOLC_DLL_EXPORT adub fmin ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub fmin ( double, const badouble& );
friend ADOLC_DLL_EXPORT adub fmin ( const badouble&, double );
friend ADOLC_DLL_EXPORT adub ldexp ( const badouble&, int );
friend ADOLC_DLL_EXPORT adub frexp ( const badouble&, int* );
friend ADOLC_DLL_EXPORT adub erf ( const badouble& );
/*--------------------------------------------------------------------------*/
/* Conditionals */
friend ADOLC_DLL_EXPORT void condassign( adouble &res, const badouble &cond,
const badouble &arg1, const badouble &arg2 );
friend ADOLC_DLL_EXPORT void condassign( adouble &res, const badouble &cond,
const badouble &arg );
};
/****************************************************************************/
/* CLASS ADUB */
/*
The class Adub
---- Basically used as a temporary result. The address for an
adub is usually generated within an operation. That address
is "freed" when the adub goes out of scope (at destruction time).
---- operates just like a badouble, but it has a destructor defined for it.
*/
class ADOLC_DLL_EXPORT adub:public badouble {
friend ADOLC_DLL_EXPORT class adouble;
friend ADOLC_DLL_EXPORT class advector;
friend ADOLC_DLL_EXPORT class adubref;
#if GCC_VERSION >= 4003
adub( adub const &) {}
#endif
protected:
adub( locint lo ):badouble(lo) {};
adub( void ):badouble(0) {
fprintf(DIAG_OUT,"ADOL-C error: illegal default construction of adub"
" variable\n");
exit(-2);
};
explicit adub( double ):badouble(0) {
fprintf(DIAG_OUT,"ADOL-C error: illegal construction of adub variable"
" from double\n");
exit(-2);
};
public:
/*--------------------------------------------------------------------------*/
/* Comparison (friends) */
#if defined(ADOLC_ADVANCED_BRANCHING)
friend ADOLC_DLL_EXPORT adub operator != ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator == ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator <= ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator >= ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator < ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator > ( const badouble&, const badouble& );
#endif
/*--------------------------------------------------------------------------*/
/* sign operators (friends) */
friend ADOLC_DLL_EXPORT adub operator + ( const badouble& x );
friend ADOLC_DLL_EXPORT adub operator - ( const badouble& x );
/*--------------------------------------------------------------------------*/
/* binary operators (friends) */
friend ADOLC_DLL_EXPORT adub operator + ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator + ( double, const badouble& );
friend ADOLC_DLL_EXPORT adub operator + ( const badouble&, double );
friend ADOLC_DLL_EXPORT adub operator - ( const badouble&, const badouble& );
inline friend adub operator - ( const badouble&, double );
friend ADOLC_DLL_EXPORT adub operator - ( double, const badouble& );
friend ADOLC_DLL_EXPORT adub operator * ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator * ( double, const badouble& );
inline friend adub operator * ( const badouble&, double );
inline friend adub operator / ( const badouble&, double );
friend ADOLC_DLL_EXPORT adub operator / ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub operator / ( double, const badouble& );
/*--------------------------------------------------------------------------*/
/* unary operators (friends) */
friend ADOLC_DLL_EXPORT adub exp ( const badouble& );
friend ADOLC_DLL_EXPORT adub log ( const badouble& );
friend ADOLC_DLL_EXPORT adub sqrt ( const badouble& );
friend ADOLC_DLL_EXPORT adub sin ( const badouble& );
friend ADOLC_DLL_EXPORT adub cos ( const badouble& );
friend ADOLC_DLL_EXPORT adub tan ( const badouble& );
friend ADOLC_DLL_EXPORT adub asin ( const badouble& );
friend ADOLC_DLL_EXPORT adub acos ( const badouble& );
friend ADOLC_DLL_EXPORT adub atan ( const badouble& );
/*--------------------------------------------------------------------------*/
/* special operators (friends) */
/* no internal use of condassign: */
friend ADOLC_DLL_EXPORT adub pow ( const badouble&, double );
friend ADOLC_DLL_EXPORT adub log10 ( const badouble& );
/*--------------------------------------------------------------------------*/
/* Additional ANSI C standard Math functions Added by DWJ on 8/6/90 */
friend ADOLC_DLL_EXPORT adub sinh ( const badouble& );
friend ADOLC_DLL_EXPORT adub cosh ( const badouble& );
friend ADOLC_DLL_EXPORT adub tanh ( const badouble& );
#if defined(ATRIG_ERF)
friend ADOLC_DLL_EXPORT adub asinh ( const badouble& );
friend ADOLC_DLL_EXPORT adub acosh ( const badouble& );
friend ADOLC_DLL_EXPORT adub atanh ( const badouble& );
#endif
friend ADOLC_DLL_EXPORT adub fabs ( const badouble& );
friend ADOLC_DLL_EXPORT adub ceil ( const badouble& );
friend ADOLC_DLL_EXPORT adub floor ( const badouble& );
friend ADOLC_DLL_EXPORT adub fmax ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub fmax ( double, const badouble& );
friend ADOLC_DLL_EXPORT adub fmax ( const badouble&, double );
friend ADOLC_DLL_EXPORT adub fmin ( const badouble&, const badouble& );
friend ADOLC_DLL_EXPORT adub fmin ( double, const badouble& );
friend ADOLC_DLL_EXPORT adub fmin ( const badouble&, double );
friend ADOLC_DLL_EXPORT adub ldexp ( const badouble&, int );
friend ADOLC_DLL_EXPORT adub frexp ( const badouble&, int* );
friend ADOLC_DLL_EXPORT adub erf ( const badouble& );
~adub();
};
/****************************************************************************/
/* CLASS ADOUBLE */
/*
The class adouble.
---Derived from badouble. Contains the standard constructors/destructors.
---At construction, it is given a new address, and at destruction, that
address is freed.
*/
class ADOLC_DLL_EXPORT adouble:public badouble {
friend ADOLC_DLL_EXPORT class advector;
public:
adouble( const adub& );
adouble( const adouble& );
adouble( void );
adouble( double );
/* adub prevents postfix operators to occur on the left
side of an assignment which would not work */
adub operator++( int );
adub operator--( int );
badouble& operator++( void );
badouble& operator--( void );
/* inline double value(); */
~adouble();
adouble& operator = ( double );
adouble& operator = ( const badouble& );
/* adouble& operator = ( const adouble& );
!!! olvo 991210 was the same as badouble-assignment */
adouble& operator = ( const adub& );
};
/****************************************************************************/
/* INLINE DEFINITIONS */
/*--------------------------------------------------------------------------*/
inline locint badouble::loc( void ) const {
return location;
}
/*--------------------------------------------------------------------------*/
/* Comparison */
#if !defined(ADOLC_ADVANCED_BRANCHING)
inline int operator != ( const badouble& u, const badouble& v ) {
return (u-v != 0);
}
inline int operator == ( const badouble& u, const badouble& v ) {
return (u-v == 0);
}
inline int operator <= ( const badouble& u, const badouble& v ) {
return (u-v <= 0);
}
inline int operator >= ( const badouble& u, const badouble& v ) {
return (u-v >= 0);
}
inline int operator > ( const badouble& u, const badouble& v ) {
return (u-v > 0);
}
inline int operator < ( const badouble& u, const badouble& v ) {
return (u-v < 0);
}
#endif
inline int operator != ( double coval, const badouble& v) {
if (coval)
return (-coval+v != 0);
else
return (v != 0);
}
inline int operator == ( double coval, const badouble& v) {
if (coval)
return (-coval+v == 0);
else
return (v == 0);
}
inline int operator <= ( double coval, const badouble& v ) {
if (coval)
return (-coval+v >= 0);
else
return (v >= 0);
}
inline int operator >= ( double coval, const badouble& v ) {
if (coval)
return (-coval+v <= 0);
else
return (v <= 0);
}
inline int operator > ( double coval, const badouble& v ) {
if (coval)
return (-coval+v < 0);
else
return (v < 0);
}
inline int operator < ( double coval, const badouble& v ) {
if (coval)
return (-coval+v > 0);
else
return (v > 0);
}
/*--------------------------------------------------------------------------*/
/* Subtract a floating point from an adouble */
inline adub operator - ( const badouble& x , double coval ) {
return (-coval) + x;
}
/*--------------------------------------------------------------------------*/
/* Multiply an adouble by a floating point */
inline adub operator * (const badouble& x, double coval) {
return coval * x;
}
/*--------------------------------------------------------------------------*/
/* Divide an adouble by a floating point */
inline adub operator / (const badouble& x, double coval) {
return (1.0/coval) * x;
}
/****************************************************************************/
/* tapeless implementation */
/****************************************************************************/
#else
#include <limits>
namespace adtl {
#if defined(NUMBER_DIRECTIONS)
extern int ADOLC_numDir;
#define ADOLC_TAPELESS_UNIQUE_INTERNALS int adtl::ADOLC_numDir = NUMBER_DIRECTIONS;
#if !defined(DYNAMIC_DIRECTIONS)
# define ADVAL adval[NUMBER_DIRECTIONS]
#else
# define ADVAL *adval;
#endif
# define ADVAL_TYPE const double *
# define FOR_I_EQ_0_LT_NUMDIR for (int _i=0; _i < ADOLC_numDir; ++_i)
# define ADVAL_I adval[_i]
# define ADV_I adv[_i]
# define V_I v[_i]
#else
# define ADVAL adval
# define ADVAL_TYPE double
# define FOR_I_EQ_0_LT_NUMDIR
# define ADVAL_I adval
# define ADV_I adv
# define V_I v
#endif
#if !defined(_ISOC99_SOURCE) && !defined(__USE_ISOC99)
inline double fmin( const double &x, const double &y ) {
if (x<y) return x;
else return y;
}
inline double fmax( const double &x, const double &y ) {
if (x>y) return x;
else return y;
}
#endif
inline double makeNaN() {
return ADOLC_MATH_NSP::numeric_limits<double>::quiet_NaN();
}
inline double makeInf() {
return ADOLC_MATH_NSP::numeric_limits<double>::infinity();
}
class adouble {
public:
// ctors
inline adouble();
inline adouble(const double v);
inline adouble(const double v, ADVAL_TYPE adv);
inline adouble(const adouble& a);
#if defined(DYNAMIC_DIRECTIONS)
inline ~adouble();
#endif
/******************* temporary results ******************************/
// sign
inline adouble operator - () const;
inline adouble operator + () const;
// addition
inline adouble operator + (const double v) const;
inline adouble operator + (const adouble& a) const;
inline friend
adouble operator + (const double v, const adouble& a);
// substraction
inline adouble operator - (const double v) const;
inline adouble operator - (const adouble& a) const;
inline friend
adouble operator - (const double v, const adouble& a);
// multiplication
inline adouble operator * (const double v) const;
inline adouble operator * (const adouble& a) const;
inline friend
adouble operator * (const double v, const adouble& a);
// division
inline adouble operator / (const double v) const;
inline adouble operator / (const adouble& a) const;
inline friend
adouble operator / (const double v, const adouble& a);
// inc/dec
inline adouble operator ++ ();
inline adouble operator ++ (int);
inline adouble operator -- ();
inline adouble operator -- (int);
// functions
inline friend adouble tan(const adouble &a);
inline friend adouble exp(const adouble &a);
inline friend adouble log(const adouble &a);
inline friend adouble sqrt(const adouble &a);
inline friend adouble sin(const adouble &a);
inline friend adouble cos(const adouble &a);
inline friend adouble asin(const adouble &a);
inline friend adouble acos(const adouble &a);
inline friend adouble atan(const adouble &a);
inline friend adouble atan2(const adouble &a, const adouble &b);
inline friend adouble pow(const adouble &a, double v);
inline friend adouble pow(const adouble &a, const adouble &b);
inline friend adouble pow(double v, const adouble &a);
inline friend adouble log10(const adouble &a);
inline friend adouble sinh (const adouble &a);
inline friend adouble cosh (const adouble &a);
inline friend adouble tanh (const adouble &a);
#if defined(ATRIG_ERF)
inline friend adouble asinh (const adouble &a);
inline friend adouble acosh (const adouble &a);
inline friend adouble atanh (const adouble &a);
#endif
inline friend adouble fabs (const adouble &a);
inline friend adouble ceil (const adouble &a);
inline friend adouble floor (const adouble &a);
inline friend adouble fmax (const adouble &a, const adouble &b);
inline friend adouble fmax (double v, const adouble &a);
inline friend adouble fmax (const adouble &a, double v);
inline friend adouble fmin (const adouble &a, const adouble &b);
inline friend adouble fmin (double v, const adouble &a);
inline friend adouble fmin (const adouble &a, double v);
inline friend adouble ldexp (const adouble &a, const adouble &b);
inline friend adouble ldexp (const adouble &a, const double v);
inline friend adouble ldexp (const double v, const adouble &a);
inline friend double frexp (const adouble &a, int* v);
#if defined(ATRIG_ERF)
inline friend adouble erf (const adouble &a);
#endif
/******************* nontemporary results ***************************/
// assignment
inline void operator = (const double v);
inline void operator = (const adouble& a);
// addition
inline void operator += (const double v);
inline void operator += (const adouble& a);
// substraction
inline void operator -= (const double v);
inline void operator -= (const adouble& a);
// multiplication
inline void operator *= (const double v);
inline void operator *= (const adouble& a);
// division
inline void operator /= (const double v);
inline void operator /= (const adouble& a);
// not
inline int operator ! () const;
// comparision
inline int operator != (const adouble&) const;
inline int operator != (const double) const;
inline friend int operator != (const double, const adouble&);
inline int operator == (const adouble&) const;
inline int operator == (const double) const;
inline friend int operator == (const double, const adouble&);
inline int operator <= (const adouble&) const;
inline int operator <= (const double) const;
inline friend int operator <= (const double, const adouble&);
inline int operator >= (const adouble&) const;
inline int operator >= (const double) const;
inline friend int operator >= (const double, const adouble&);
inline int operator > (const adouble&) const;
inline int operator > (const double) const;
inline friend int operator > (const double, const adouble&);
inline int operator < (const adouble&) const;
inline int operator < (const double) const;
inline friend int operator < (const double, const adouble&);
/******************* getter / setter ********************************/
inline double getValue() const;
inline void setValue(const double v);
inline ADVAL_TYPE getADValue() const;
inline void setADValue(ADVAL_TYPE v);
#if defined(NUMBER_DIRECTIONS)
inline double getADValue(const unsigned int p) const;
inline void setADValue(const unsigned int p, const double v);
#endif
/******************* i/o operations *********************************/
inline friend ostream& operator << ( ostream&, const adouble& );
inline friend istream& operator >> ( istream&, adouble& );
private:
// internal variables
double val;
double ADVAL;
};
/******************************* ctors ************************************/
adouble::adouble() {
#if defined(DYNAMIC_DIRECTIONS)
adval = new double[ADOLC_numDir];
#endif
}
adouble::adouble(const double v) : val(v) {
#if defined(DYNAMIC_DIRECTIONS)
adval = new double[ADOLC_numDir];
#endif
FOR_I_EQ_0_LT_NUMDIR
ADVAL_I = 0.0;
}
adouble::adouble(const double v, ADVAL_TYPE adv) : val(v) {
#if defined(DYNAMIC_DIRECTIONS)
adval = new double[ADOLC_numDir];
#endif
FOR_I_EQ_0_LT_NUMDIR
ADVAL_I=ADV_I;
}
adouble::adouble(const adouble& a) : val(a.val) {
#if defined(DYNAMIC_DIRECTIONS)
adval = new double[ADOLC_numDir];
#endif
FOR_I_EQ_0_LT_NUMDIR
ADVAL_I=a.ADVAL_I;
}
/******************************* dtors ************************************/
#if defined(DYNAMIC_DIRECTIONS)
adouble::~adouble() {
delete[] adval;
}
#endif
/************************* temporary results ******************************/
// sign
adouble adouble::operator - () const {
adouble tmp;
tmp.val=-val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=-ADVAL_I;
return tmp;
}
adouble adouble::operator + () const {
return *this;
}
// addition
adouble adouble::operator + (const double v) const {
return adouble(val+v, adval);
}
adouble adouble::operator + (const adouble& a) const {
adouble tmp;
tmp.val=val+a.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=ADVAL_I+a.ADVAL_I;
return tmp;
}
adouble operator + (const double v, const adouble& a) {
return adouble(v+a.val, a.adval);
}
// subtraction
adouble adouble::operator - (const double v) const {
return adouble(val-v, adval);
}
adouble adouble::operator - (const adouble& a) const {
adouble tmp;
tmp.val=val-a.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=ADVAL_I-a.ADVAL_I;
return tmp;
}
adouble operator - (const double v, const adouble& a) {
adouble tmp;
tmp.val=v-a.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=-a.ADVAL_I;
return tmp;
}
// multiplication
adouble adouble::operator * (const double v) const {
adouble tmp;
tmp.val=val*v;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=ADVAL_I*v;
return tmp;
}
adouble adouble::operator * (const adouble& a) const {
adouble tmp;
tmp.val=val*a.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=ADVAL_I*a.val+val*a.ADVAL_I;
return tmp;
}
adouble operator * (const double v, const adouble& a) {
adouble tmp;
tmp.val=v*a.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=v*a.ADVAL_I;
return tmp;
}
// division
adouble adouble::operator / (const double v) const {
adouble tmp;
tmp.val=val/v;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=ADVAL_I/v;
return tmp;
}
adouble adouble::operator / (const adouble& a) const {
adouble tmp;
tmp.val=val/a.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=(ADVAL_I*a.val-val*a.ADVAL_I)/(a.val*a.val);
return tmp;
}
adouble operator / (const double v, const adouble& a) {
adouble tmp;
tmp.val=v/a.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=(-v*a.ADVAL_I)/(a.val*a.val);
return tmp;
}
// inc/dec
adouble adouble::operator ++ () {
++val;
return *this;
}
adouble adouble::operator ++ (int) {
adouble tmp;
tmp.val=val++;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=ADVAL_I;
return tmp;
}
adouble adouble::operator -- () {
--val;
return *this;
}
adouble adouble::operator -- (int) {
adouble tmp;
tmp.val=val--;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=ADVAL_I;
return tmp;
}
// functions
adouble tan(const adouble& a) {
adouble tmp;
double tmp2;
tmp.val=ADOLC_MATH_NSP::tan(a.val);
tmp2=ADOLC_MATH_NSP::cos(a.val);
tmp2*=tmp2;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I/tmp2;
return tmp;
}
adouble exp(const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::exp(a.val);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=tmp.val*a.ADVAL_I;
return tmp;
}
adouble log(const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::log(a.val);
FOR_I_EQ_0_LT_NUMDIR
if (a.val>0) tmp.ADVAL_I=a.ADVAL_I/a.val;
else if (a.val==0 && a.ADVAL_I != 0.0) {
int sign = (a.ADVAL_I < 0) ? -1 : 1;
tmp.ADVAL_I=sign*makeInf();
} else tmp.ADVAL_I=makeNaN();
return tmp;
}
adouble sqrt(const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::sqrt(a.val);
FOR_I_EQ_0_LT_NUMDIR
if (a.val>0) tmp.ADVAL_I=a.ADVAL_I/(tmp.val*2);
else if (a.val==0.0 && a.ADVAL_I != 0.0) {
int sign = (a.ADVAL_I < 0) ? -1 : 1;
tmp.ADVAL_I=sign * makeInf();
} else tmp.ADVAL_I=makeNaN();
return tmp;
}
adouble sin(const adouble &a) {
adouble tmp;
double tmp2;
tmp.val=ADOLC_MATH_NSP::sin(a.val);
tmp2=ADOLC_MATH_NSP::cos(a.val);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=tmp2*a.ADVAL_I;
return tmp;
}
adouble cos(const adouble &a) {
adouble tmp;
double tmp2;
tmp.val=ADOLC_MATH_NSP::cos(a.val);
tmp2=-ADOLC_MATH_NSP::sin(a.val);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=tmp2*a.ADVAL_I;
return tmp;
}
adouble asin(const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::asin(a.val);
double tmp2=ADOLC_MATH_NSP::sqrt(1-a.val*a.val);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I/tmp2;
return tmp;
}
adouble acos(const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::acos(a.val);
double tmp2=-ADOLC_MATH_NSP::sqrt(1-a.val*a.val);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I/tmp2;
return tmp;
}
adouble atan(const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::atan(a.val);
double tmp2=1+a.val*a.val;
tmp2=1/tmp2;
if (tmp2!=0)
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I*tmp2;
else
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=0.0;
return tmp;
}
adouble atan2(const adouble &a, const adouble &b) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::atan2(a.val, b.val);
double tmp2=a.val*a.val;
double tmp3=b.val*b.val;
double tmp4=tmp3/(tmp2+tmp3);
if (tmp4!=0)
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=(a.ADVAL_I*b.val-a.val*b.ADVAL_I)/tmp3*tmp4;
else
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=0.0;
return tmp;
}
adouble pow(const adouble &a, double v) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::pow(a.val, v);
double tmp2=v*ADOLC_MATH_NSP::pow(a.val, v-1);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=tmp2*a.ADVAL_I;
return tmp;
}
adouble pow(const adouble &a, const adouble &b) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::pow(a.val, b.val);
double tmp2=b.val*ADOLC_MATH_NSP::pow(a.val, b.val-1);
double tmp3=ADOLC_MATH_NSP::log(a.val)*tmp.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=tmp2*a.ADVAL_I+tmp3*b.ADVAL_I;
return tmp;
}
adouble pow(double v, const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::pow(v, a.val);
double tmp2=tmp.val*ADOLC_MATH_NSP::log(v);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=tmp2*a.ADVAL_I;
return tmp;
}
adouble log10(const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::log10(a.val);
double tmp2=ADOLC_MATH_NSP::log((double)10)*a.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I/tmp2;
return tmp;
}
adouble sinh (const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::sinh(a.val);
double tmp2=ADOLC_MATH_NSP::cosh(a.val);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I*tmp2;
return tmp;
}
adouble cosh (const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::cosh(a.val);
double tmp2=ADOLC_MATH_NSP::sinh(a.val);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I*tmp2;
return tmp;
}
adouble tanh (const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::tanh(a.val);
double tmp2=ADOLC_MATH_NSP::cosh(a.val);
tmp2*=tmp2;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I/tmp2;
return tmp;
}
#if defined(ATRIG_ERF)
adouble asinh (const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP_ERF::asinh(a.val);
double tmp2=ADOLC_MATH_NSP::sqrt(a.val*a.val+1);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I/tmp2;
return tmp;
}
adouble acosh (const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP_ERF::acosh(a.val);
double tmp2=ADOLC_MATH_NSP::sqrt(a.val*a.val-1);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I/tmp2;
return tmp;
}
adouble atanh (const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP_ERF::atanh(a.val);
double tmp2=1-a.val*a.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I/tmp2;
return tmp;
}
#endif
adouble fabs (const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::fabs(a.val);
int as=0;
if (a.val>0) as=1;
if (a.val<0) as=-1;
if (as!=0)
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I*as;
else
FOR_I_EQ_0_LT_NUMDIR {
as=0;
if (a.ADVAL_I>0) as=1;
if (a.ADVAL_I<0) as=-1;
tmp.ADVAL_I=a.ADVAL_I*as;
}
return tmp;
}
adouble ceil (const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::ceil(a.val);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=0.0;
return tmp;
}
adouble floor (const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP::floor(a.val);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=0.0;
return tmp;
}
adouble fmax (const adouble &a, const adouble &b) {
adouble tmp;
double tmp2=a.val-b.val;
if (tmp2<0) {
tmp.val=b.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=b.ADVAL_I;
} else {
tmp.val=a.val;
if (tmp2>0) {
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I;
} else {
FOR_I_EQ_0_LT_NUMDIR
{
if (a.ADVAL_I<b.ADVAL_I) tmp.ADVAL_I=b.ADVAL_I;
else tmp.ADVAL_I=a.ADVAL_I;
}
}
}
return tmp;
}
adouble fmax (double v, const adouble &a) {
adouble tmp;
double tmp2=v-a.val;
if (tmp2<0) {
tmp.val=a.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I;
} else {
tmp.val=v;
if (tmp2>0) {
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=0.0;
} else {
FOR_I_EQ_0_LT_NUMDIR
{
if (a.ADVAL_I>0) tmp.ADVAL_I=a.ADVAL_I;
else tmp.ADVAL_I=0.0;
}
}
}
return tmp;
}
adouble fmax (const adouble &a, double v) {
adouble tmp;
double tmp2=a.val-v;
if (tmp2<0) {
tmp.val=v;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=0.0;
} else {
tmp.val=a.val;
if (tmp2>0) {
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I;
} else {
FOR_I_EQ_0_LT_NUMDIR
{
if (a.ADVAL_I>0) tmp.ADVAL_I=a.ADVAL_I;
else tmp.ADVAL_I=0.0;
}
}
}
return tmp;
}
adouble fmin (const adouble &a, const adouble &b) {
adouble tmp;
double tmp2=a.val-b.val;
if (tmp2<0) {
tmp.val=a.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I;
} else {
tmp.val=b.val;
if (tmp2>0) {
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=b.ADVAL_I;
} else {
FOR_I_EQ_0_LT_NUMDIR
{
if (a.ADVAL_I<b.ADVAL_I) tmp.ADVAL_I=a.ADVAL_I;
else tmp.ADVAL_I=b.ADVAL_I;
}
}
}
return tmp;
}
adouble fmin (double v, const adouble &a) {
adouble tmp;
double tmp2=v-a.val;
if (tmp2<0) {
tmp.val=v;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=0.0;
} else {
tmp.val=a.val;
if (tmp2>0) {
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I;
} else {
FOR_I_EQ_0_LT_NUMDIR
{
if (a.ADVAL_I<0) tmp.ADVAL_I=a.ADVAL_I;
else tmp.ADVAL_I=0.0;
}
}
}
return tmp;
}
adouble fmin (const adouble &a, double v) {
adouble tmp;
double tmp2=a.val-v;
if (tmp2<0) {
tmp.val=a.val;
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=a.ADVAL_I;
} else {
tmp.val=v;
if (tmp2>0) {
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=0.0;
} else {
FOR_I_EQ_0_LT_NUMDIR
{
if (a.ADVAL_I<0) tmp.ADVAL_I=a.ADVAL_I;
else tmp.ADVAL_I=0.0;
}
}
}
return tmp;
}
adouble ldexp (const adouble &a, const adouble &b) {
return a*pow(2.,b);
}
adouble ldexp (const adouble &a, const double v) {
return a*ADOLC_MATH_NSP::pow(2.,v);
}
adouble ldexp (const double v, const adouble &a) {
return v*pow(2.,a);
}
double frexp (const adouble &a, int* v) {
return ADOLC_MATH_NSP::frexp(a.val, v);
}
#if defined(ATRIG_ERF)
adouble erf (const adouble &a) {
adouble tmp;
tmp.val=ADOLC_MATH_NSP_ERF::erf(a.val);
double tmp2 = 2.0 /
ADOLC_MATH_NSP_ERF::sqrt(ADOLC_MATH_NSP::acos(-1.0)) *
ADOLC_MATH_NSP_ERF::exp(-a.val*a.val);
FOR_I_EQ_0_LT_NUMDIR
tmp.ADVAL_I=tmp2*a.ADVAL_I;
return tmp;
}
#endif
/******************* nontemporary results *********************************/
void adouble::operator = (const double v) {
val=v;
FOR_I_EQ_0_LT_NUMDIR
ADVAL_I=0.0;
}
void adouble::operator = (const adouble& a) {
val=a.val;
FOR_I_EQ_0_LT_NUMDIR
ADVAL_I=a.ADVAL_I;
}
void adouble::operator += (const double v) {
val+=v;
}
void adouble::operator += (const adouble& a) {
val=val+a.val;
FOR_I_EQ_0_LT_NUMDIR
ADVAL_I+=a.ADVAL_I;
}
void adouble::operator -= (const double v) {
val-=v;
}
void adouble::operator -= (const adouble& a) {
val=val-a.val;
FOR_I_EQ_0_LT_NUMDIR
ADVAL_I-=a.ADVAL_I;
}
void adouble::operator *= (const double v) {
val=val*v;
FOR_I_EQ_0_LT_NUMDIR
ADVAL_I*=v;
}
void adouble::operator *= (const adouble& a) {
FOR_I_EQ_0_LT_NUMDIR
ADVAL_I=ADVAL_I*a.val+val*a.ADVAL_I;
val*=a.val;
}
void adouble::operator /= (const double v) {
val/=v;
FOR_I_EQ_0_LT_NUMDIR
ADVAL_I/=v;
}
void adouble::operator /= (const adouble& a) {
FOR_I_EQ_0_LT_NUMDIR
ADVAL_I=(ADVAL_I*a.val-val*a.ADVAL_I)/(a.val*a.val);
val=val/a.val;
}
// not
int adouble::operator ! () const {
return val==0.0;
}
// comparision
int adouble::operator != (const adouble &a) const {
return val!=a.val;
}
int adouble::operator != (const double v) const {
return val!=v;
}
int operator != (const double v, const adouble &a) {
return v!=a.val;
}
int adouble::operator == (const adouble &a) const {
return val==a.val;
}
int adouble::operator == (const double v) const {
return val==v;
}
int operator == (const double v, const adouble &a) {
return v==a.val;
}
int adouble::operator <= (const adouble &a) const {
return val<=a.val;
}
int adouble::operator <= (const double v) const {
return val<=v;
}
int operator <= (const double v, const adouble &a) {
return v<=a.val;
}
int adouble::operator >= (const adouble &a) const {
return val>=a.val;
}
int adouble::operator >= (const double v) const {
return val>=v;
}
int operator >= (const double v, const adouble &a) {
return v>=a.val;
}
int adouble::operator > (const adouble &a) const {
return val>a.val;
}
int adouble::operator > (const double v) const {
return val>v;
}
int operator > (const double v, const adouble &a) {
return v>a.val;
}
int adouble::operator < (const adouble &a) const {
return val<a.val;
}
int adouble::operator < (const double v) const {
return val<v;
}
int operator < (const double v, const adouble &a) {
return v<a.val;
}
/******************* getter / setter **************************************/
double adouble::getValue() const {
return val;
}
void adouble::setValue(const double v) {
val=v;
}
ADVAL_TYPE adouble::getADValue() const {
return adval;
}
void adouble::setADValue(ADVAL_TYPE v) {
FOR_I_EQ_0_LT_NUMDIR
ADVAL_I=V_I;
}
# if defined(NUMBER_DIRECTIONS)
double adouble::getADValue(const unsigned int p) const {
if (p>=NUMBER_DIRECTIONS) {
fprintf(DIAG_OUT, "Derivative array accessed out of bounds"\
" while \"getADValue(...)\"!!!\n");
exit(-1);
}
return adval[p];
}
void adouble::setADValue(const unsigned int p, const double v) {
if (p>=NUMBER_DIRECTIONS) {
fprintf(DIAG_OUT, "Derivative array accessed out of bounds"\
" while \"setADValue(...)\"!!!\n");
exit(-1);
}
adval[p]=v;
}
# endif
#if defined(NUMBER_DIRECTIONS)
static void setNumDir(const unsigned int p) {
#if !defined(DYNAMIC_DIRECTIONS)
if (p>NUMBER_DIRECTIONS) ADOLC_numDir=NUMBER_DIRECTIONS;
else ADOLC_numDir=p;
#else
ADOLC_numDir = p;
#endif
}
#endif
/******************* i/o operations ***************************************/
ostream& operator << ( ostream& out, const adouble& a) {
out << "Value: " << a.val;
#if !defined(NUMBER_DIRECTIONS)
out << " ADValue: ";
#else
out << " ADValues (" << ADOLC_numDir << "): ";
#endif
FOR_I_EQ_0_LT_NUMDIR
out << a.ADVAL_I << " ";
out << "(a)";
return out;
}
istream& operator >> ( istream& in, adouble& a) {
char c;
do {
in >> c;
} while (c!=':' && !in.eof());
in >> a.val;
#if !defined(NUMBER_DIRECTIONS)
do in >> c;
while (c!=':' && !in.eof());
#else
unsigned int num;
do in >> c;
while (c!='(' && !in.eof());
in >> num;
if (num>NUMBER_DIRECTIONS) {
cout << "ADOL-C error: to many directions in input\n";
exit(-1);
}
do in >> c;
while (c!=')' && !in.eof());
#endif
FOR_I_EQ_0_LT_NUMDIR
in >> a.ADVAL_I;
do in >> c;
while (c!=')' && !in.eof());
return in;
}
}
/****************************************************************************/
#endif /* ADOLC_TAPELESS */
/****************************************************************************/
/* THAT'S ALL*/
#endif /* __cplusplus */
#endif /* ADOLC_ADOUBLE_H */
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