SSEMath.h File Reference

#include <osmscout/CoreFeatures.h>
#include <osmscout/system/Math.h>
#include <osmscout/system/SSEMathPublic.h>
#include <osmscout/system/SystemTypes.h>
#include <osmscout/private/Config.h>

Include dependency graph for SSEMath.h:

Go to the source code of this file.

Namespaces
	osmscout

Macros
#define	ARRAY2V2DF(name)   * reinterpret_cast<const v2df*>(name)
#define	ARRAY2V2DI(name)   * reinterpret_cast<const v2di*>(name)
#define	DECLARE_COEFFS(name)   extern const ALIGN16_BEG double name[] ALIGN16_END;
#define	POLY_EVAL3SINGLE_HORNER(y, x, coeff)   y = coeff[0]; y = y*x + coeff[2]; y = y*x + coeff[4]; y = y*x + coeff[6]
#define	POLY_EVAL3_HORNER(y, x, coeff)
#define	POLY_EVAL6SINGLE_HORNER(y, x, coeff)
#define	POLY_EVAL6_HORNER(y, x, coeff)
#define	POLY_EVAL6SINGLE_ESTRIN(y, x, coeff)
#define	POLY_EVAL6_ESTRIN(y, x, coeff)
#define	POLY_EVAL3SINGLE(y, x, coeff)   POLY_EVAL3SINGLE_HORNER(y, x, coeff)
#define	POLY_EVAL3(y, x, coeff)   POLY_EVAL3_HORNER(y, x, coeff)
#define	POLY_EVAL6SINGLE(y, x, coeff)   POLY_EVAL6SINGLE_ESTRIN(y, x, coeff)
#define	POLY_EVAL6(y, x, coeff)   POLY_EVAL6_ESTRIN(y, x, coeff)
#define	_PS_CONST(Name)   extern const ALIGN16_BEG double _pd_##Name[2] ALIGN16_END
#define	_PS_CONST_TYPE(Name, Type)   extern const ALIGN16_BEG Type _pd_##Name[2] ALIGN16_END

Functions
	osmscout::_PS_CONST (1)
	osmscout::_PS_CONST (2)
	osmscout::_PS_CONST (0_5)
	osmscout::_PS_CONST (2OPI)
	osmscout::_PS_CONST (PIO2)
	osmscout::_PS_CONST (LOG_C_2)
	osmscout::_PS_CONST_TYPE (sign_mask, uint64_t)
	osmscout::_PS_CONST_TYPE (x01_double_mask, uint64_t)
	osmscout::_PS_CONST_TYPE (x03FE_double_mask, uint64_t)
	osmscout::_PS_CONST_TYPE (1_exp, uint64_t)
	osmscout::_PS_CONST_TYPE (f_fraction_mask, uint64_t)
	osmscout::_PS_CONST_TYPE (f_exp_mask, uint64_t)
	osmscout::_PS_CONST_TYPE (f_one_mask, uint64_t)
	osmscout::_PS_CONST_TYPE (1022, uint64_t)
	osmscout::_PS_CONST (0_66)
	osmscout::_PS_CONST (0_87)
	osmscout::_PS_CONST (1_74)
	osmscout::_PS_CONST (1_32)
	osmscout::_PS_CONST (log_inv_1_74)
	osmscout::_PS_CONST (log_inv_1_32)
v2df	osmscout::sin_pd (v2df x)
v2df	osmscout::dangerous_sin_pd (v2df x)
double	osmscout::sin_pd (double x)
double	osmscout::dangerous_sin_pd (double x)
void	osmscout::sin_pd (double x, double y, double &res_x, double &res_y)
void	osmscout::dangerous_sin_pd (double x, double y, double &res_x, double &res_y)
void	osmscout::sin_cos_pd (double x, double &res_sin, double &res_cos)
v2df	osmscout::cos_pd (v2df x)
double	osmscout::cos_pd (double x)
double	osmscout::cos_pd (double x, double y, double &res_x, double &res_y)
v2df	osmscout::log_pd (v2df x)
double	osmscout::log_pd (double x)
double	osmscout::log_pd (double x, double y, double &res_x, double &res_y)
v2df	osmscout::atanh_pd (v2df x)
double	osmscout::atanh_pd (double x)
double	osmscout::atanh_pd (double x, double y, double &res_x, double &res_y)
v2df	osmscout::atanh_sin_pd (v2df x)
double	osmscout::atanh_sin_pd (double x)
double	osmscout::atanh_sin_pd (double x, double y, double &res_x, double &res_y)

Macro Definition Documentation

_PS_CONST

#define _PS_CONST

(

Name

)

extern const ALIGN16_BEG double _pd_##Name[2] ALIGN16_END

_PS_CONST_TYPE

#define _PS_CONST_TYPE	(		Name,
			Type
	)		extern const ALIGN16_BEG Type _pd_##Name[2] ALIGN16_END

ARRAY2V2DF

#define ARRAY2V2DF

(

name

)

* reinterpret_cast<const v2df*>(name)

ARRAY2V2DI

#define ARRAY2V2DI

(

name

)

* reinterpret_cast<const v2di*>(name)

DECLARE_COEFFS

#define DECLARE_COEFFS

(

name

)

extern const ALIGN16_BEG double name[] ALIGN16_END;

POLY_EVAL3

#define POLY_EVAL3	(		y,
			x,
			coeff
	)		POLY_EVAL3_HORNER(y, x, coeff)

POLY_EVAL3_HORNER

#define POLY_EVAL3_HORNER	(		y,
			x,
			coeff
	)

Value:

y =  ARRAY2V2DF(&coeff[0]); \
  y = _mm_add_pd(_mm_mul_pd(y, x), ARRAY2V2DF(&coeff[2])); \
  y = _mm_add_pd(_mm_mul_pd(y, x), ARRAY2V2DF(&coeff[4])); \
  y = _mm_add_pd(_mm_mul_pd(y, x), ARRAY2V2DF(&coeff[6]))

POLY_EVAL3SINGLE

#define POLY_EVAL3SINGLE	(		y,
			x,
			coeff
	)		POLY_EVAL3SINGLE_HORNER(y, x, coeff)

POLY_EVAL3SINGLE_HORNER

#define POLY_EVAL3SINGLE_HORNER	(		y,
			x,
			coeff
	)		y = coeff[0]; y = y*x + coeff[2]; y = y*x + coeff[4]; y = y*x + coeff[6]

POLY_EVAL6

#define POLY_EVAL6	(		y,
			x,
			coeff
	)		POLY_EVAL6_ESTRIN(y, x, coeff)

POLY_EVAL6_ESTRIN

#define POLY_EVAL6_ESTRIN	(		y,
			x,
			coeff
	)

Value:

v2df pt0 =  _mm_add_pd(ARRAY2V2DF(&coeff[0]), _mm_mul_pd(ARRAY2V2DF(&coeff[ 2]), x)); \
  v2df pt1 =  _mm_add_pd(ARRAY2V2DF(&coeff[4]), _mm_mul_pd(ARRAY2V2DF(&coeff[ 6]), x)); \
  v2df pt2 =  _mm_add_pd(ARRAY2V2DF(&coeff[8]), _mm_mul_pd(ARRAY2V2DF(&coeff[10]), x)); \
  v2df pt3 =  ARRAY2V2DF(&coeff[12]); \
  v2df ptx2 = _mm_mul_pd(x,x); \
  pt0 = _mm_add_pd(pt0, _mm_mul_pd(pt1, ptx2)); \
  pt2 = _mm_add_pd(pt2, _mm_mul_pd(pt3, ptx2)); \
  v2df ptx4 = _mm_mul_pd(ptx2,ptx2); \
  y = _mm_add_pd(pt0, _mm_mul_pd(pt2, ptx4))

POLY_EVAL6_HORNER

#define POLY_EVAL6_HORNER	(		y,
			x,
			coeff
	)

Value:

y =  ARRAY2V2DF(&coeff[0]); \
  y = _mm_add_pd(_mm_mul_pd(y, x), ARRAY2V2DF(&coeff[2])); \
  y = _mm_add_pd(_mm_mul_pd(y, x), ARRAY2V2DF(&coeff[4])); \
  y = _mm_add_pd(_mm_mul_pd(y, x), ARRAY2V2DF(&coeff[6])); \
  y = _mm_add_pd(_mm_mul_pd(y, x), ARRAY2V2DF(&coeff[8])); \
  y = _mm_add_pd(_mm_mul_pd(y, x), ARRAY2V2DF(&coeff[10])); \
  y = _mm_add_pd(_mm_mul_pd(y, x), ARRAY2V2DF(&coeff[12]))

POLY_EVAL6SINGLE

#define POLY_EVAL6SINGLE	(		y,
			x,
			coeff
	)		POLY_EVAL6SINGLE_ESTRIN(y, x, coeff)

POLY_EVAL6SINGLE_ESTRIN

#define POLY_EVAL6SINGLE_ESTRIN	(		y,
			x,
			coeff
	)

Value:

y = coeff[12]; y = y*x + coeff[10]; y = y*x + coeff[8]; y = y*x + coeff[6]; \
  y = y*x + coeff[4];  y = y*x + coeff[2]; y = y*x + coeff[0]; \

POLY_EVAL6SINGLE_HORNER

#define POLY_EVAL6SINGLE_HORNER	(		y,
			x,
			coeff
	)

Value:

y = coeff[0]; y = y*x + coeff[2]; y = y*x + coeff[4]; y = y*x + coeff[6]; \
  y = y*x + coeff[8];  y = y*x + coeff[10]; y = y*x + coeff[12]