| VF_cotrpi | VD_cotrpi | VE_cotrpi |
| VF_cotrpi2 | VD_cotrpi2 | VE_cotrpi2 |
| VF_cotrpi3 | VD_cotrpi3 | VE_cotrpi3 |
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| Function | Cotangent function of rational multiples of p |
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| Syntax C/C++ | #include <VFmath.h>
int VF_cotrpi( fVector Y, iVector P, ui size, int q );
int VF_cotrpi2( fVector Y, iVector P, ui size, int q );
int VF_cotrpi3( fVector Y, iVector P, ui size, int q ); |
| C++ VecObj | #include <OptiVec.h>
int vector<T>::cotrpi( const vector<int>& P, int q );
int vector<T>::cotrpi2( const vector<int>& P, int q );
int vector<T>::cotrpi3( const vector<int>& P, int q ); |
| Pascal/Delphi | uses VFmath;
function VF_cotrpi( Y:fVector; P:iVector; size:UIntSize; q:Integer ): IntBool;
function VF_cotrpi2( Y:fVector; P:iVector; size:UIntSize; q:Integer ): IntBool;
function VF_cotrpi3( Y:fVector; P:iVector; size:UIntSize; q:Integer ): IntBool; |
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| CUDA function C/C++ | #include <cudaVFmath.h>
int cudaVF_cotrpi( fVector d_Y, iVector d_P, ui size, int q );
int cudaVF_cotrpi2( fVector d_Y, iVector d_P, ui size, int q );
int cudaVF_cotrpi3( fVector d_Y, iVector d_P, ui size, int q );
int VFcu_cotrpi( fVector h_Y, iVector h_P, ui size, int q );
int VFcu_cotrpi2( fVector h_Y, iVector h_P, ui size, int q );
int VFcu_cotrpi3( fVector h_Y, iVector h_P, ui size, int q );
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| CUDA function Pascal/Delphi | uses VFmath;
function cudaVF_cotrpi( d_Y:fVector; d_P:iVector; size:UIntSize; q:Integer ): IntBool;
function cudaVF_cotrpi2( d_Y:fVector; d_P:iVector; size:UIntSize; q:Integer ): IntBool;
function cudaVF_cotrpi3( d_Y:fVector; d_P:iVector; size:UIntSize; q:Integer ): IntBool;
function VFcu_cotrpi( h_Y:fVector; h_P:iVector; size:UIntSize; q:Integer ): IntBool;
function VFcu_cotrpi2( h_Y:fVector; h_P:iVector; size:UIntSize; q:Integer ): IntBool;
function VFcu_cotrpi3( h_Y:fVector; h_P:iVector; size:UIntSize; q:Integer ): IntBool;
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| Description | Yi = cot( (Pi / q) * p )
The cotangent of fractional multiples of p is calculated. There are three versions: VF_cotrpi is for general use with any arbitrary denominator q. If q is a power of 2, VF_cotrpi2 should be used which is a highly optimized version using a look-up table. If q is a multiple of 3, VF_cotrpi3 should be used. VF_cotrpi2 and VF_cotrpi3 also work with q values they are not optimized for; in this case, however, memory space is wasted for the tables. |
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| Error handling | SING errors occur if Pi / q is a whole number. The default result is 0.0 (which is the mean of +HUGE_VAL and -HUGE_VAL); q must be non-zero; this is, however, not tested for. |
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| Return value | FALSE (0), if no error occurred, otherwise TRUE (non-zero). |
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