OptiVec: VF

VF_pow

VD_pow

VE_pow

VCF_pow

VCD_pow

VCE_pow

VFx_pow

VDx_pow

VEx_pow

VCFx_pow

VCDx_pow

VCEx_pow

VCF_powReExpo

VCD_powReExpo

VCE_powReExpo

VCFx_powReExpo

VCDx_powReExpo

VCEx_powReExpo

VPF_powReExpo

VPD_powReExpo

VPE_powReExpo

Funktion

beliebige reelle oder komplexe Potenzen

Syntax C/C++	#include <VFmath.h> int VF_pow( fVector Y, fVector X, ui size, float Expo ); int VFx_pow( fVector Y, fVector X, ui size, float Expo, float A, float B, float C ); int VCF_pow( cfVector Y, cfVector X, ui size, fComplex Expo ); int VCFx_pow( cfVector Y, cfVector X, ui size, fComplex Expo, fComplex A, fComplex B, fComplex C ); int VCF_powReExpo( cfVector Y, cfVector X, ui size, float Expo ); int VCFx_powReExpo( cfVector Y, cfVector X, ui size, float Expo, fComplex A, fComplex B, fComplex C );
C++ VecObj	#include <OptiVec.h> int vector<T>::pow( const vector<T>& X, const T& Expo ); int vector<T>::x_pow( const vector<T>& X, const T& Expo, const T& A, const T& B, const T& C ); int vector<complex<T>>::pow( const vector<complex<T>>& X, complex<T> Expo ); int vector<complex<T>>::x_pow( const vector<complex<T>>& X, complex<T> Expo, complex<T> A, complex<T> B, complex<T> C ); int vector<complex<T>>::powReExpo( const vector<complex<T>>& X, const T& Expo ); int vector<complex<T>>::x_powReExpo( const vector<complex<T>>& X, const T& Expo, complex<T> A, complex<T> B, complex<T> C );
Pascal/Delphi	uses VFmath; function VF_pow( Y, X:fVector; size:UIntSize; Expo:Single ): IntBool; function VFx_pow( Y, X:fVector; size:UIntSize; Expo, A, B, C:Single ): IntBool; function VCF_pow( Y, X:cfVector; size:UIntSize; Expo:fComplex ): IntBool; function VCF_powReExpo( Y, X:cfVector; size:UIntSize; Expo:Single ): IntBool; function VCFx_powReExpo( Y, X:cfVector; size:UIntSize; Expo:Single; A, B, C:fComplex ): IntBool;

CUDA-Funktion C/C++

#include <cudaVFmath.h>
int cudaVF_pow( fVector d_Y, fVector d_X, ui size, float Expo );
int cudaVFx_pow( fVector d_Y, fVector d_X, ui size, float Expo, float A, float B, float C );
int cusdVFx_pow( fVector d_Y, fVector d_X, ui size, float Expo, float *_dA, float *d_B, float *d_C );
int VFcu_pow( fVector h_Y, fVector h_X, ui size, float Expo );
int VFxcu_pow( fVector h_Y, fVector h_X, ui size, float Expo, float A, float B, float C );

#include <cudaVCFmath.h>
int cudaVCF_pow( cfVector d_Y, cfVector d_X, ui size, fComplex Expo );
int cudaVCFx_pow( cfVector d_Y, cfVector d_X, ui size, fComplex Expo, fComplex A, fComplex B, fComplex C );
int cusdVCFx_pow( cfVector d_Y, cfVector d_X, ui size, fComplex Expo, fComplex *d_A, fComplex *d_B, fComplex *d_C );
int cudaVCF_powReExpo( cfVector d_Y, cfVector d_X, ui size, float Expo );
int cudaVCFx_powReExpo( cfVector d_Y, cfVector d_X, ui size, float Expo, fComplex A, fComplex B, fComplex C );
int cusdVCFx_powReExpo( cfVector d_Y, cfVector d_X, ui size, float Expo, fComplex *d_A, fComplex *d_B, fComplex *d_C );
int VCFcu_pow( cfVector h_Y, cfVector h_X, ui size, fComplex Expo );
int VCFxcu_pow( cfVector h_Y, cfVector h_X, ui size, fComplex Expo, fComplex A, fComplex B, fComplex C );
int VCFcu_powReExpo( cfVector h_Y, cfVector h_X, ui size, float Expo );
int VCFxcu_powReExpo( cfVector h_Y, cfVector h_X, ui size, float Expo, fComplex A, fComplex B, fComplex C );

CUDA-Funktion Pascal/Delphi

uses VFmath;
function cudaVF_pow( d_Y, d_X:fVector; size:UIntSize; Expo:Single ): IntBool;
function cudaVFx_pow( d_Y, d_X:fVector; size:UIntSize; Expo:Single; A, B, C:Single ): IntBool;
function cusdVFx_pow( d_Y, d_X:fVector; size:UIntSize; Expo:Single; d_A, d_B, d_C:PSingle ): IntBool;
function VFcu_pow( h_Y, h_X:fVector; size:UIntSize; Expo:Single ): IntBool;
function VFxcu_pow( h_Y, h_X:fVector; size:UIntSize; Expo:Single; A, B, C:Single ): IntBool;

uses VCFmath;
int cudaVCF_pow( cfVector d_Y, cfVector d_X, ui size, fComplex Expo );
int cudaVCFx_pow( cfVector d_Y, cfVector d_X, ui size, fComplex Expo, fComplex A, fComplex B, fComplex C );
int cusdVCFx_pow( cfVector d_Y, cfVector d_X, ui size, fComplex Expo, fComplex *d_A, fComplex *d_B, fComplex *d_C );
int cudaVCF_powReExpo( cfVector d_Y, cfVector d_X, ui size, float Expo );
int cudaVCFx_powReExpo( cfVector d_Y, cfVector d_X, ui size, float Expo, fComplex A, fComplex B, fComplex C );
int cusdVCFx_powReExpo( cfVector d_Y, cfVector d_X, ui size, float Expo, fComplex *d_A, fComplex *d_B, fComplex *d_C );
int VCFcu_pow( cfVector h_Y, cfVector h_X, ui size, fComplex Expo );
int VCFxcu_pow( cfVector h_Y, cfVector h_X, ui size, fComplex Expo, fComplex A, fComplex B, fComplex C );
int VCFcu_powReExpo( cfVector h_Y, cfVector h_X, ui size, float Expo );
int VCFxcu_powReExpo( cfVector h_Y, cfVector h_X, ui size, float Expo, fComplex A, fComplex B, fComplex C );

Beschreibung

einfache Versionen: Y_i = X_i ^Expo
erweiterte Versionen: Y_i = C * ((A*X_i+B) ^Expo)
Wenn Expo eine nicht zu große ganze Zahl ist, reicht VF_pow die gestellte Aufgabe an VF_ipow weiter. Effizienter sollte man dies schon beim Programmieren tun.
Die komplexe Version existiert in zwei Varianten: einer für komplexe (VCF_pow) und einer für reelle Exponenten (VCF_powReExpo).

Fehlerbehandlung

DOMAIN-Fehler entstehen für bruchzahlige Potenzen negativer Zahlen. Das vorgeschlagene Ergebnis ist NAN ("not-a-number"). SING-Fehler entstehen durch negative Potenzen von 0. Das vorgeschlagene Resultat ist hier ±HUGE_VAL, ebenso wie für OVERFLOW-Fehler.

Rückgabewert

FALSE (0), wenn fehlerfrei, andernfalls TRUE (≠ 0)

Querverweis

VF_ipow, VF_poly, VF_pow2, VF_exp, VF_powexp, pow

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