FunctionSecant function
Syntax C/C++#include <VFmath.h>
int VF_sec( fVector Y, fVector X, ui size );
int VFx_sec( fVector Y, fVector X, ui size, float A, float B, float C );
C++ VecObj#include <OptiVec.h>
int vector<T>::sec( const vector<T>& X );
int vector<T>::x_sec( const vector<T>& X, const T& A, const T& B, const T& C );
Pascal/Delphiuses VFmath;
function VF_sec( Y, X:fVector; size:UIntSize ): IntBool;
function VFx_sec( Y, X:fVector; size:UIntSize; A, B, C:Single ): IntBool;
CUDA function C/C++#include <cudaVFmath.h>
int cudaVF_sec( fVector d_Y, fVector d_X, ui size );
int cudaVFx_sec( fVector d_Y, fVector d_X, ui size, float A, float B, float C );
int cusdVFx_sec( fVector d_Y, fVector d_X, ui size, float *d_A, float *d_B, float *d_C );
int VFcu_sec( fVector h_Y, fVector h_X, ui size );
int VFxcu_sec( fVector h_Y, fVector h_X, ui size, float A, float B, float C );
CUDA function Pascal/Delphiuses VFmath;
function cudaVF_sec( d_Y, d_X:fVector; size:UIntSize ): IntBool;
function cudaVFx_sec( d_Y, d_X:fVector; size:UIntSize; A, B, C:Single ): IntBool;
function cusdVFx_sec( d_Y, d_X:fVector; size:UIntSize; d_A, d_B, d_C:PSingle ): IntBool;
function VFcu_sec( h_Y, h_X:fVector; size:UIntSize ): IntBool;
function VFxcu_sec( h_Y, h_X:fVector; size:UIntSize; A, B, C:Single ): IntBool;
Descriptionnormal versions: Yi = sec( Xi )    = 1 / cos( Xi )
expanded versions: Yi = C * sec( A*Xi+B )
The secant is defined as the inverse of the cosine (not to be mistaken for the arcus function arccos). For large values of Xi, round-off error becomes appreciable; if the Xi values are representable as rational multiples of p, it is better to use VF_secrpi than VF_sec.
Error handlingSING or OVERFLOW errors lead to the default result ±HUGE_VAL. TLOSS precision errors lead to a result of 1.0 (as if the input were 0.0).
Return valueFALSE (0), if no error occurred, otherwise TRUE (non-zero).
See alsoVF_sec2,   VF_secrpi,   VF_cos,   VF_sech,   cos

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