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PsNumericType Class Reference

redefining the base operations between basic types seen as PsTypes. More...

#include <PsPolatorAndPsNumericType.h>

Inheritance diagram for PsNumericType:

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Collaboration diagram for PsNumericType:

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List of all members.

Public Methods

virtual ~PsNumericType (void)
 Destructor.

virtual double getValue (void) const=0
 get the value of the numeric type as a double


Static Public Methods

double linearInterpolate (const long t, const long t1, const double v1, const long t0, const double v0)
 calculate linear interpolation between two values

double quadraticInterpolate (const long t, const long t2, const double v2, const long t1, const double v1, const long t0, const double v0)
 calculate 2nde degre interpolation between 3 values

double cubicInterpolate (const long t, const long t3, const double v3, const long t2, const double v2, const long t1, const double v1, const long t0, const double v0)
 calculate 3rd degre interpolation with 4 values

double linearExtrapolate (const long t, const long t1, const double v1, const long t0, const double v0)
 linear extrapolation

double quadraticExtrapolate (const long t3, const long t2, const double v2, const long t1, const double v1, const long t0, const double v0)
 quadratic extrapolation

double cubicExtrapolate (const long t4, const long t3, const double v3, const long t2, const double v2, const long t1, const double v1, const long t0, const double v0)
 cubicExtrapolate

Detailed Description

redefining the base operations between basic types seen as PsTypes.

Definition at line 30 of file PsPolatorAndPsNumericType.h.

Constructor & Destructor Documentation

virtual PsNumericType::~PsNumericType (  void    )  [inline, virtual]
 

Destructor.

Definition at line 34 of file PsPolatorAndPsNumericType.h. 

00035 {} ;

Member Function Documentation

double PsNumericType::cubicExtrapolate (  const long    t4,
const long    t3,
const double    v3,
const long    t2,
const double    v2,
const long    t1,
const double    v1,
const long    t0,
const double    v0
)  [static]
 

cubicExtrapolate

Parameters:
t4 date of returned value
t3 t3 < t4
v3 value at t3
t2 t2 < t3
v2 value at t2
t1 t1 < t2
v1 value at t1
t0 t0 < t1
v0 value at t0
Returns:
value at t4, with acceleration linerly extrapolated

Definition at line 151 of file PsNumericTypeT.cxx.

References quadraticExtrapolate().

Referenced by PsNumericPolatorT< Type >::antepolate(), and PsNumericPolatorT< Type >::extrapolate(). 

00161 {
00162    double deltaValeur = quadraticExtrapolate(t4 - t0,
00163                                                   t3 - t0,
00164                                                   v3 - v0,
00165                                                   t2 - t0,
00166                                                   v2 - v0,
00167                                                   t1 - t0,
00168                                                   v1 - v0);
00169    return v0 + deltaValeur ;
00170 }

double PsNumericType::cubicInterpolate (  const long    t,
const long    t3,
const double    v3,
const long    t2,
const double    v2,
const long    t1,
const double    v1,
const long    t0,
const double    v0
)  [static]
 

calculate 3rd degre interpolation with 4 values

Parameters:
t date of the produced values
t3 t3 > t
v3 value at t3
t2 t2 < t
v2 value at t2
t1 t1 < t2
v1 value at t1
t0 t0 < t1
v0 value at t0

Definition at line 82 of file PsNumericTypeT.cxx.

References quadraticInterpolate().

Referenced by PsNumericPolatorT< Type >::interpolate(). 

00091 {
00092    return v0 + quadraticInterpolate(t - t0,
00093                                     t3 - t0,
00094                                     v3 - v0,
00095                                     t2 - t0,
00096                                     v2 - v0,
00097                                     t1 - t0,
00098                                     v1 - v0);
00099 }

virtual double PsNumericType::getValue (  void    )  const [pure virtual]
 

get the value of the numeric type as a double

Implemented in PsNumericTypeT< Type >.

double PsNumericType::linearExtrapolate (  const long    t,
const long    t1,
const double    v1,
const long    t0,
const double    v0
)  [static]
 

linear extrapolation

Parameters:
t date of returned value
t1 t1 < t
v1 value at t1
t0 t0 < t1
v0 value at t0
Returns:
value at t

Definition at line 102 of file PsNumericTypeT.cxx.

Referenced by PsNumericPolatorT< Type >::antepolate(), PsNumericPolatorT< Type >::extrapolate(), and quadraticExtrapolate(). 

00108 {
00109 #ifdef _DEBUGPOLATION
00110    cerr<<"linearExtrapolate ("<<t<<","<<t1<<","<<v1<<","<<t0<<","<<v0<<") = ";
00111 #endif
00112   long d0 = (t1 - t0);
00113   //assert ( false ) ;
00114   assert(t1 != -1) ;
00115   assert(t != -1) ;
00116   assert ( t != t1 ) ;
00117   double resul =  ( (t - t1) * (v1 - v0) )/ d0 + v1; 
00118 #ifdef _DEBUGPOLATION
00119   cerr<<resul<<endl;
00120 #endif
00121   return ( (t - t1) * (v1 - v0) )/ d0 + v1 ;
00122 }

double PsNumericType::linearInterpolate (  const long    t,
const long    t1,
const double    v1,
const long    t0,
const double    v0
)  [static]
 

calculate linear interpolation between two values

Parameters:
t date of the produced values
t1 t1 > t
v1 value at t1
t0 t0 < t
v0 value at t0

Definition at line 48 of file PsNumericTypeT.cxx.

Referenced by PsNumericPolatorT< Type >::interpolate(), and quadraticInterpolate(). 

00055 {
00056 #ifdef _DEBUGPOLATION
00057    cerr<<"linearInterpolate("<<t<<" "<<t1<<" "<<v1<<" "<<t0<<" "<<v0<<") = "<<endl;
00058 #endif
00059    long d0 = t1 - t0 ;
00060    assert ( d0 != 0) ;
00061 #ifdef _DEBUGPOLATION
00062    cerr<< ( v1 * (t - t0 ) + v0 * ( t1 - t )) / d0 <<endl;
00063 #endif
00064    return ( v1 * (t - t0 ) + v0 * ( t1 - t )) / d0 ;
00065 }

double PsNumericType::quadraticExtrapolate (  const long    t3,
const long    t2,
const double    v2,
const long    t1,
const double    v1,
const long    t0,
const double    v0
)  [static]
 

quadratic extrapolation

Parameters:
t3 date of returned value
t2 t2 < t3
v2 value at t2
t1 t1 < t2
v1 value at t1
t0 t0 < t1
v0 value at t0
Returns:
value at t3, with speed linerly extrapolated

Definition at line 126 of file PsNumericTypeT.cxx.

References linearExtrapolate().

Referenced by PsNumericPolatorT< Type >::antepolate(), cubicExtrapolate(), and PsNumericPolatorT< Type >::extrapolate(). 

00133 {
00134 #ifdef _DEBUGPOLATION
00135   cerr<<"quadraticExtrapolate ("<<t3<<","<<t2<<","<<v2<<","<<t1<<","<<v1<<","<<t0<<","<<v0<<") = ";
00136 #endif
00137    //on utilise linearExtrapolate pour compute l'accroissement en t2 et t3
00138    double deltaValeur = linearExtrapolate(t3-t0,
00139                                                t2-t0,
00140                                                v2-v0,
00141                                                t1-t0,
00142                                                v1-v0);
00143 #ifdef _DEBUGPOLATION
00144    cerr<<v2+deltaValeur<<endl;
00145 #endif
00146    return v0+deltaValeur ;
00147 }

double PsNumericType::quadraticInterpolate (  const long    t,
const long    t2,
const double    v2,
const long    t1,
const double    v1,
const long    t0,
const double    v0
)  [static]
 

calculate 2nde degre interpolation between 3 values

Parameters:
t date of the produced values
t2 t2 > t
v2 value at t2
t1 t1 < t
v1 value at t1
t0 t0 < t1
v0 value at t0

Definition at line 69 of file PsNumericTypeT.cxx.

References linearInterpolate().

Referenced by cubicInterpolate(), and PsNumericPolatorT< Type >::interpolate(). 

00077 {
00078    return v0 + linearInterpolate(t-t0,t2-t0,v2-v0,t1-t0,v1-v0) ;
00079 }

The documentation for this class was generated from the following files:
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Documentation generated on Mon Nov 25 15:26:16 2002

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