Vmath.cpp File Reference

#include <LibUtilities/BasicUtils/Vmath.hpp>
#include <LibUtilities/BasicConst/NektarUnivTypeDefs.hpp>
#include <LibUtilities/LibUtilitiesDeclspec.h>

Include dependency graph for Vmath.cpp:

Go to the source code of this file.

Namespaces
namespace	Vmath

Macros
#define	IM1   2147483563
#define	IM2   2147483399
#define	AM   (1.0/IM1)
#define	IMM1   (IM1-1)
#define	IA1   40014
#define	IA2   40692
#define	IQ1   53668
#define	IQ2   52774
#define	IR1   12211
#define	IR2   3791
#define	NTAB   32
#define	NDIV   (1+IMM1/NTAB)
#define	EPS   1.2e-7
#define	RNMX   (1.0-EPS)

Functions
template<class T >
void	Vmath::Fill (int n, const T alpha, T *x, const int incx)
	Fill a vector with a constant value.
template void	Vmath::Fill (int n, const Nektar::NekDouble alpha, Nektar::NekDouble *x, const int incx)
template<class T >
T	Vmath::ran2 (long *idum)
	Generates a number from ~Normal(0,1)
template<class T >
void	Vmath::FillWhiteNoise (int n, const T eps, T *x, const int incx, int outseed)
	Fills a vector with white noise.
template void	Vmath::FillWhiteNoise (int n, const Nektar::NekDouble eps, Nektar::NekDouble *x, const int incx, int outseed)
template<class T >
void	Vmath::Vmul (int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
	Multiply vector z = x*y.
template void	Vmath::Vmul (int n, const Nektar::NekDouble *x, const int incx, const Nektar::NekDouble *y, const int incy, Nektar::NekDouble *z, const int incz)
template<class T >
void	Vmath::Smul (int n, const T alpha, const T *x, const int incx, T *y, const int incy)
	Scalar multiply y = alpha*y.
template void	Vmath::Smul (int n, const Nektar::NekDouble alpha, const Nektar::NekDouble *x, const int incx, Nektar::NekDouble *y, const int incy)
template<class T >
void	Vmath::Vdiv (int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
	Multiply vector z = x/y.
template void	Vmath::Vdiv (int n, const Nektar::NekDouble *x, const int incx, const Nektar::NekDouble *y, const int incy, Nektar::NekDouble *z, const int incz)
template<class T >
void	Vmath::Sdiv (int n, const T alpha, const T *x, const int incx, T *y, const int incy)
	Scalar multiply y = alpha/y.
template void	Vmath::Sdiv (int n, const Nektar::NekDouble alpha, const Nektar::NekDouble *x, const int incx, Nektar::NekDouble *y, const int incy)
template<class T >
void	Vmath::Vadd (int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
	Add vector z = x+y.
template void	Vmath::Vadd (int n, const Nektar::NekDouble *x, const int incx, const Nektar::NekDouble *y, const int incy, Nektar::NekDouble *z, const int incz)
template<class T >
void	Vmath::Sadd (int n, const T alpha, const T *x, const int incx, T *y, const int incy)
	Add vector y = alpha + x.
template void	Vmath::Sadd (int n, const Nektar::NekDouble alpha, const Nektar::NekDouble *x, const int incx, Nektar::NekDouble *y, const int incy)
template<class T >
void	Vmath::Vsub (int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
	Subtract vector z = x-y.
template void	Vmath::Vsub (int n, const Nektar::NekDouble *x, const int incx, const Nektar::NekDouble *y, const int incy, Nektar::NekDouble *z, const int incz)
template<class T >
void	Vmath::Zero (int n, T *x, const int incx)
	Zero vector.
template void	Vmath::Zero (int n, Nektar::NekDouble *x, const int incx)
template void	Vmath::Zero (int n, int *x, const int incx)
template void	Vmath::Zero (int n, long *x, const int incx)
template<class T >
void	Vmath::Neg (int n, T *x, const int incx)
	Negate x = -x.
template void	Vmath::Neg (int n, Nektar::NekDouble *x, const int incx)
template<class T >
void	Vmath::Vsqrt (int n, const T *x, const int incx, T *y, const int incy)
	sqrt y = sqrt(x)
template void	Vmath::Vsqrt (int n, const Nektar::NekDouble *x, const int incx, Nektar::NekDouble *y, const int incy)
template<class T >
void	Vmath::Vabs (int n, const T *x, const int incx, T *y, const int incy)
	vabs: y = |x|
template void	Vmath::Vabs (int n, const Nektar::NekDouble *x, const int incx, Nektar::NekDouble *y, const int incy)
template<class T >
void	Vmath::Vvtvp (int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
	vvtvp (vector times vector plus vector): z = w*x + y
template void	Vmath::Vvtvp (int n, const Nektar::NekDouble *w, const int incw, const Nektar::NekDouble *x, const int incx, const Nektar::NekDouble *y, const int incy, Nektar::NekDouble *z, const int incz)
template<class T >
void	Vmath::Vvtvm (int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
	vvtvm (vector times vector plus vector): z = w*x - y
template void	Vmath::Vvtvm (int n, const Nektar::NekDouble *w, const int incw, const Nektar::NekDouble *x, const int incx, const Nektar::NekDouble *y, const int incy, Nektar::NekDouble *z, const int incz)
template<class T >
void	Vmath::Svtvp (int n, const T alpha, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
	svtvp (scalar times vector plus vector): z = alpha*x + y
template void	Vmath::Svtvp (int n, const Nektar::NekDouble alpha, const Nektar::NekDouble *x, const int incx, const Nektar::NekDouble *y, const int incy, Nektar::NekDouble *z, const int incz)
template<class T >
void	Vmath::Svtvm (int n, const T alpha, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
	svtvp (scalar times vector plus vector): z = alpha*x - y
template void	Vmath::Svtvm (int n, const Nektar::NekDouble alpha, const Nektar::NekDouble *x, const int incx, const Nektar::NekDouble *y, const int incy, Nektar::NekDouble *z, const int incz)
template<class T >
void	Vmath::Vvtvvtp (int n, const T *v, int incv, const T *w, int incw, const T *x, int incx, const T *y, int incy, T *z, int incz)
	vvtvvtp (vector times vector plus vector times vector):
template void	Vmath::Vvtvvtp (int n, const Nektar::NekDouble *v, int incv, const Nektar::NekDouble *w, int incw, const Nektar::NekDouble *x, int incx, const Nektar::NekDouble *y, int incy, Nektar::NekDouble *z, int incz)
template<class T >
void	Vmath::Vvtvvtm (int n, const T *v, int incv, const T *w, int incw, const T *x, int incx, const T *y, int incy, T *z, int incz)
	vvtvvtm (vector times vector minus vector times vector):
template void	Vmath::Vvtvvtm (int n, const Nektar::NekDouble *v, int incv, const Nektar::NekDouble *w, int incw, const Nektar::NekDouble *x, int incx, const Nektar::NekDouble *y, int incy, Nektar::NekDouble *z, int incz)
template<class T >
void	Vmath::Svtsvtp (int n, const T alpha, const T *x, int incx, const T beta, const T *y, int incy, T *z, int incz)
	vvtvvtp (scalar times vector plus scalar times vector):
template void	Vmath::Svtsvtp (int n, const Nektar::NekDouble alpha, const Nektar::NekDouble *x, int incx, const Nektar::NekDouble beta, const Nektar::NekDouble *y, int incy, Nektar::NekDouble *z, int incz)
template<class T >
void	Vmath::Vstvpp (int n, const T alpha, const T *v, int incv, const T *w, int incw, const T *x, int incx, T *z, int incz)
	Vstvpp (scalar times vector plus vector plus vector):
template void	Vmath::Vstvpp (int n, const Nektar::NekDouble alpha, const Nektar::NekDouble *v, int incv, const Nektar::NekDouble *w, int incw, const Nektar::NekDouble *x, int incx, Nektar::NekDouble *z, int incz)
template<class T >
void	Vmath::Gathr (int n, const T *x, const int *y, T *z)
	Gather vector z[i] = x[y[i]].
template void	Vmath::Gathr (int n, const Nektar::NekDouble *x, const int *y, Nektar::NekDouble *z)
template<class T >
void	Vmath::Gathr (int n, const T *sign, const T *x, const int *y, T *z)
	Gather vector z[i] = sign[i]*x[y[i]].
template void	Vmath::Gathr (int n, const Nektar::NekDouble *sign, const Nektar::NekDouble *x, const int *y, Nektar::NekDouble *z)
template<class T >
void	Vmath::Scatr (int n, const T *x, const int *y, T *z)
	Scatter vector z[y[i]] = x[i].
template void	Vmath::Scatr (int n, const Nektar::NekDouble *x, const int *y, Nektar::NekDouble *z)
template<class T >
void	Vmath::Scatr (int n, const T *sign, const T *x, const int *y, T *z)
	Scatter vector z[y[i]] = sign[i]*x[i].
template void	Vmath::Scatr (int n, const Nektar::NekDouble *sign, const Nektar::NekDouble *x, const int *y, Nektar::NekDouble *z)
template<class T >
void	Vmath::Assmb (int n, const T *x, const int *y, T *z)
	Assemble z[y[i]] += x[i]; z should be zero'd first.
template void	Vmath::Assmb (int n, const Nektar::NekDouble *x, const int *y, Nektar::NekDouble *z)
template<class T >
void	Vmath::Assmb (int n, const T *sign, const T *x, const int *y, T *z)
	Assemble z[y[i]] += sign[i]*x[i]; z should be zero'd first.
template void	Vmath::Assmb (int n, const Nektar::NekDouble *sign, const Nektar::NekDouble *x, const int *y, Nektar::NekDouble *z)
template<class T >
T	Vmath::Vsum (int n, const T *x, const int incx)
	Subtract return sum(x)
template Nektar::NekDouble	Vmath::Vsum (int n, const Nektar::NekDouble *x, const int incx)
template int	Vmath::Vsum (int n, const int *x, const int incx)
template<class T >
int	Vmath::Imax (int n, const T *x, const int incx)
	Return the index of the maximum element in x.
template int	Vmath::Imax (int n, const Nektar::NekDouble *x, const int incx)
template int	Vmath::Imax (int n, const int *x, const int incx)
template<class T >
T	Vmath::Vmax (int n, const T *x, const int incx)
	Return the maximum element in x – called vmax to avoid conflict with max.
template Nektar::NekDouble	Vmath::Vmax (int n, const Nektar::NekDouble *x, const int incx)
template int	Vmath::Vmax (int n, const int *x, const int incx)
template<class T >
int	Vmath::Iamax (int n, const T *x, const int incx)
	Return the index of the maximum absolute element in x.
template int	Vmath::Iamax (int n, const Nektar::NekDouble *x, const int incx)
template<class T >
T	Vmath::Vamax (int n, const T *x, const int incx)
	Return the maximum absolute element in x called vamax to avoid conflict with max.
template Nektar::NekDouble	Vmath::Vamax (int n, const Nektar::NekDouble *x, const int incx)
template<class T >
int	Vmath::Imin (int n, const T *x, const int incx)
	Return the index of the minimum element in x.
template int	Vmath::Imin (int n, const Nektar::NekDouble *x, const int incx)
template<class T >
T	Vmath::Vmin (int n, const T *x, const int incx)
	Return the minimum element in x - called vmin to avoid conflict with min.
template Nektar::NekDouble	Vmath::Vmin (int n, const Nektar::NekDouble *x, const int incx)
template int	Vmath::Vmin (int n, const int *x, const int incx)
template<class T >
T	Vmath::Dot (int n, const T *w, const T *x)
	vvtvp (vector times vector times vector): z = w*x*y
template Nektar::NekDouble	Vmath::Dot (int n, const Nektar::NekDouble *w, const Nektar::NekDouble *x)
template<class T >
T	Vmath::Dot (int n, const T *w, const int incw, const T *x, const int incx)
	vvtvp (vector times vector times vector): z = w*x*y
template Nektar::NekDouble	Vmath::Dot (int n, const Nektar::NekDouble *w, const int incw, const Nektar::NekDouble *x, const int incx)
template<class T >
T	Vmath::Dot2 (int n, const T *w, const T *x, const int *y)
	vvtvp (vector times vector times vector): z = w*x*y
template Nektar::NekDouble	Vmath::Dot2 (int n, const Nektar::NekDouble *w, const Nektar::NekDouble *x, const int *y)
template<class T >
T	Vmath::Dot2 (int n, const T *w, const int incw, const T *x, const int incx, const int *y, const int incy)
	vvtvp (vector times vector times vector): z = w*x*y
template Nektar::NekDouble	Vmath::Dot2 (int n, const Nektar::NekDouble *w, const int incw, const Nektar::NekDouble *x, const int incx, const int *y, const int incy)
template<typename T >
void	Vmath::Vcopy (int n, const T *x, const int incx, T *y, const int incy)
template void	Vmath::Vcopy (int n, const int *x, const int incx, int *y, const int incy)
template void	Vmath::Vcopy (int n, const unsigned int *x, const int incx, unsigned int *y, const int incy)
template void	Vmath::Vcopy (int n, const Nektar::NekDouble *x, const int incx, Nektar::NekDouble *y, const int incy)
template<class T >
void	Vmath::Reverse (int n, const T *x, const int incx, T *y, const int incy)
template void	Vmath::Reverse (int n, const Nektar::NekDouble *x, const int incx, Nektar::NekDouble *y, const int incy)

Macro Definition Documentation

#define AM   (1.0/IM1)

Definition at line 59 of file Vmath.cpp.

Referenced by Vmath::ran2().

#define EPS   1.2e-7

Definition at line 69 of file Vmath.cpp.

#define IA1   40014

Definition at line 61 of file Vmath.cpp.

Referenced by Vmath::ran2().

#define IA2   40692

Definition at line 62 of file Vmath.cpp.

Referenced by Vmath::ran2().

#define IM1   2147483563

Definition at line 57 of file Vmath.cpp.

Referenced by Vmath::ran2().

#define IM2   2147483399

Definition at line 58 of file Vmath.cpp.

Referenced by Vmath::ran2().

#define IMM1   (IM1-1)

Definition at line 60 of file Vmath.cpp.

Referenced by Vmath::ran2().

#define IQ1   53668

Definition at line 63 of file Vmath.cpp.

Referenced by Vmath::ran2().

#define IQ2   52774

Definition at line 64 of file Vmath.cpp.

Referenced by Vmath::ran2().

#define IR1   12211

Definition at line 65 of file Vmath.cpp.

Referenced by Vmath::ran2().

#define IR2   3791

Definition at line 66 of file Vmath.cpp.

Referenced by Vmath::ran2().

#define NDIV   (1+IMM1/NTAB)

Definition at line 68 of file Vmath.cpp.

Referenced by Vmath::ran2().

#define NTAB   32

Definition at line 67 of file Vmath.cpp.

Referenced by Vmath::ran2().

#define RNMX   (1.0-EPS)

Definition at line 70 of file Vmath.cpp.

Referenced by Vmath::ran2().