OptiVec: VF_sincos2

VF_sincos2

VD_sincos2

VE_sincos2

VFx_sincos2

VDx_sincos2

VEx_sinco2

VFr_sincos2

VDr_sincos2

VEr_sincos2

VFrx_sincos2

VDrx_sincos2

VErx_sinco2

Function

Square of the sine and of the cosine simultaneously

Syntax C/C++	#include <VFmath.h> int VF_sincos2( fVector YSin2, fVector YCos2, fVector X, ui size ); int VFx_sincos2( fVector YSin2, fVector YCos2, fVector X, ui size, float A, float B, float C ); int VFr_sincos2( fVector YSin, fVector YCos, fVector X, ui size ); int VFrx_sincos2(fVector YSin, fVector YCos, fVector X, ui size, float A, float B, float C );
C++ VecObj	#include <OptiVec.h> int vector<T>::sincos2( vector<T> YCos2, const vector<T>& X ); int vector<T>::x_sincos2( vector<T> YCos2, const vector<T>& X, const T& A, const T& B, const T& C ); int vector<T>::r_sincos2( vector<T> YCos, const vector<T>& X ); int vector<T>::rx_sincos2( vector<T> YCos, const vector<T>& X, const T& A, const T& B, const T& C );
Pascal/Delphi	uses VFmath; function VF_sincos2( Sin, Cos, X:fVector; size:UInt ): IntBool; function VFx_sincos2( Sin, Cos, X:fVector; size:UInt; A, B, C:Single ): IntBool; function VFr_sincos2( Sin, Cos, X:fVector; size:UInt ): IntBool; function VFrx_sincos2(Sin, Cos, X:fVector; size:UInt; A, B, C:Single ): IntBool;

Description

normal versions:
YSin2_i = sin²( X_i )
YCos2_i = cos²( X_i )
expanded versions:
YSin2_i = C * sin²( A*X_i+B )
YCos2_i = C * cos²( A*X_i+B )
The squared sine and the squared cosine are calculated simultaneously, which is far more efficient than calculating them separately, if both of them are needed.
The reduced-range versions with the prefixes VFr_ and VFrx_ are for situations in which one can be sure that all input values lie in the range -2p <= X_i <= +2p.

Error handling

Precision errors lead to a result of 0.0 for the sin² and of 1.0 for the cos² (as if the input were 0.0) along with a non-zero return value, but are otherwise ignored; _matherr is not called. Other errors should not occur.

Return value

FALSE (0), if no error occurred, otherwise TRUE (non-zero).