plm_math.h File Reference

#include <float.h>
#include <math.h>
#include <string.h>
#include <limits>
#include "compiler_warnings.h"

Go to the source code of this file.

Macros
#define	M_PI   3.14159265358979323846
#define	M_SQRT2   1.41421356237309504880
#define	M_SQRTPI   1.77245385090551602792981
#define	M_TWOPI   (M_PI * 2.0)
#define	DBL_MAX   (1E+37)
#define	M_SQRT1_2   0.70710678118654752440 /* 1/sqrt(2) */
#define	M_SQRT3_OVER_2   0.866025403784439 /* sqrt(3)/2 - nonstandard */
#define	M_SQRT2PI   2.50662827463100 /* sqrt(2*pi) - nonstandard */
#define	M_PI_2   1.57079632679489661923 /* pi/2 */
#define	M_PI_3   1.04719755119660 /* pi/3 - nonstandard */
#define	M_PI_4   0.78539816339744830962 /* pi/4 */
#define	ROUND_INT(x)   (((x) >= 0) ? ((long)((x)+0.5)) : (long)(-(-(x)+0.5)))
#define	FLOOR_PLM_LONG(x)   ((plm_long) floor (x))
#define	ROUND_PLM_LONG(x)    (((x) >= 0) ? ((plm_long)((x)+0.5)) : (plm_long)(-(-(x)+0.5)))
#define	FLOOR_SIZE_T(x)   (((x) >= 0) ? ((size_t)(x)) : 0)
#define	ROUND_SIZE_T(x)   (((x) >= 0) ? ((size_t)((x)+0.5)) : 0)
#define	ROUND(x)   ((double) (ROUND_INT(x)))
#define	SIGN(x)   (((x) >= 0) ? (+1) : (-1))
#define	FLOAT_SMALL_VECTOR_LENGTH   1e-6
#define	m_idx(m1, c, i, j)   m1[i*c+j]
#define	NLMIN(T)   (-std::numeric_limits<T>::max())
#define	NLMAX(T)   std::numeric_limits<T>::max()

Functions
static double	exp10_ (double m)
static void	vec2_add2 (double *v1, const double *v2)
static void	vec3_add2 (double *v1, const double *v2)
static void	vec3_add3 (double *v1, const double *v2, const double *v3)
template<class T >
static void	vec3_add (T *v1, const T *v2)
template<class T >
static void	vec3_add (T *v1, const T *v2, const T *v3)
template<class T >
static void	vec3_copy (T *v1, const T *v2)
static void	vec4_copy (double *v1, const double *v2)
template<class T >
static T	vec3_dot (const T *v1, const T *v2)
template<class T , class U >
static float	vec3_dot (const T *v1, const U *v2)
static double	vec4_dot (const double *v1, const double *v2)
static void	vec3_scale2 (double *v1, double a)
template<class T , class U >
static void	vec3_scale3 (T *v1, const T *v2, U a)
template<class T >
static void	vec3_sub2 (T *v1, const T *v2)
template<class T , class U , class V >
static void	vec3_sub3 (T *v1, const U *v2, const V *v3)
static void	vec3_invert (double *v1)
static void	vec_zero (double *v1, int n)
template<class T >
static T	vec3_lensq (const T *v1)
template<class T >
static T	vec3_len (const T *)
template<>
double	vec3_len (const double *v1)
template<>
float	vec3_len< float > (const float *v1)
static void	vec3_normalize1 (double *v1)
template<class T >
static T	vec3_distsq (const T *v1, const T *v2)
template<class T >
static T	vec3_dist (const T *v1, const T *v2)
template<class T >
static void	vec3_cross (T *v1, const T *v2, const T *v3)
static void	vec_outer (double *v1, const double *v2, const double *v3, const int n)
static void	mat43_mult_vec4 (double *v1, const double *m2, const double *v3)
static void	mat_mult_mat (double *m1, const double *m2, int m2_rows, int m2_cols, const double *m3, int m3_rows, int m3_cols)
static int	is_number (const double x)
template<class T >
T	clamp (T value, T min_value, T max_value)
template<class T >
T	plm_max (T v1, T v2)
template<class T >
T	plm_min (T v1, T v2)
template<class T >
T	radians_from_degrees (T degrees)
static bool	within_abs_tolerance (float value, float comp_value, float tolerance)

Macro Definition Documentation

DBL_MAX

#define DBL_MAX   (1E+37)

FLOAT_SMALL_VECTOR_LENGTH

#define FLOAT_SMALL_VECTOR_LENGTH   1e-6

FLOOR_PLM_LONG

#define FLOOR_PLM_LONG

(

x

)

((plm_long) floor (x))

FLOOR_SIZE_T

#define FLOOR_SIZE_T

(

x

)

(((x) >= 0) ? ((size_t)(x)) : 0)

m_idx

#define m_idx	(		m1,
			c,
			i,
			j
	)		m1[i*c+j]

M_PI

#define M_PI   3.14159265358979323846

M_PI_2

#define M_PI_2   1.57079632679489661923 /* pi/2 */

M_PI_3

#define M_PI_3   1.04719755119660 /* pi/3 - nonstandard */

M_PI_4

#define M_PI_4   0.78539816339744830962 /* pi/4 */

M_SQRT1_2

#define M_SQRT1_2   0.70710678118654752440 /* 1/sqrt(2) */

M_SQRT2

#define M_SQRT2   1.41421356237309504880

M_SQRT2PI

#define M_SQRT2PI   2.50662827463100 /* sqrt(2*pi) - nonstandard */

M_SQRT3_OVER_2

#define M_SQRT3_OVER_2   0.866025403784439 /* sqrt(3)/2 - nonstandard */

M_SQRTPI

#define M_SQRTPI   1.77245385090551602792981

M_TWOPI

#define M_TWOPI   (M_PI * 2.0)

NLMAX

#define NLMAX

(

T

)

std::numeric_limits<T>::max()

NLMIN

#define NLMIN

(

T

)

(-std::numeric_limits<T>::max())

ROUND

#define ROUND

(

x

)

((double) (ROUND_INT(x)))

ROUND_INT

#define ROUND_INT

(

x

)

(((x) >= 0) ? ((long)((x)+0.5)) : (long)(-(-(x)+0.5)))

ROUND_PLM_LONG

#define ROUND_PLM_LONG

(

x

)

(((x) >= 0) ? ((plm_long)((x)+0.5)) : (plm_long)(-(-(x)+0.5)))

ROUND_SIZE_T

#define ROUND_SIZE_T

(

x

)

(((x) >= 0) ? ((size_t)((x)+0.5)) : 0)

SIGN

#define SIGN

(

x

)

(((x) >= 0) ? (+1) : (-1))

Function Documentation

clamp()

template<class T >

T clamp	(	T	value,
		T	min_value,
		T	max_value
	)

exp10_()

static double exp10_ ( double  m )

inlinestatic

is_number()

static int is_number ( const double  x )

inlinestatic

mat43_mult_vec4()

static void mat43_mult_vec4 ( double *  v1, const double *  m2, const double *  v3  )

inlinestatic

mat_mult_mat()

static void mat_mult_mat ( double *  m1, const double *  m2, int  m2_rows, int  m2_cols, const double *  m3, int  m3_rows, int  m3_cols  )

inlinestatic

plm_max()

template<class T >

T plm_max	(	T	v1,
		T	v2
	)

plm_min()

template<class T >

T plm_min	(	T	v1,
		T	v2
	)

radians_from_degrees()

template<class T >

T radians_from_degrees

(

T

degrees

)

vec2_add2()

static void vec2_add2 ( double *  v1, const double *  v2  )

inlinestatic

vec3_add() [1/2]

template<class T >

static void vec3_add ( T *  v1, const T *  v2  )

inlinestatic

vec3_add() [2/2]

template<class T >

static void vec3_add ( T *  v1, const T *  v2, const T *  v3  )

inlinestatic

vec3_add2()

static void vec3_add2 ( double *  v1, const double *  v2  )

inlinestatic

vec3_add3()

static void vec3_add3 ( double *  v1, const double *  v2, const double *  v3  )

inlinestatic

vec3_copy()

template<class T >

static void vec3_copy ( T *  v1, const T *  v2  )

inlinestatic

vec3_cross()

template<class T >

static void vec3_cross ( T *  v1, const T *  v2, const T *  v3  )

inlinestatic

vec3_dist()

template<class T >

static T vec3_dist ( const T *  v1, const T *  v2  )

inlinestatic

vec3_distsq()

template<class T >

static T vec3_distsq ( const T *  v1, const T *  v2  )

inlinestatic

vec3_dot() [1/2]

template<class T >

static T vec3_dot ( const T *  v1, const T *  v2  )

inlinestatic

vec3_dot() [2/2]

template<class T , class U >

static float vec3_dot ( const T *  v1, const U *  v2  )

inlinestatic

vec3_invert()

static void vec3_invert ( double *  v1 )

inlinestatic

vec3_len() [1/2]

template<>

double vec3_len ( const double *  v1 )

inline

vec3_len() [2/2]

template<class T >

static T vec3_len ( const T *  )

static

vec3_len< float >()

template<>

float vec3_len< float > ( const float *  v1 )

inline

vec3_lensq()

template<class T >

static T vec3_lensq ( const T *  v1 )

inlinestatic

vec3_normalize1()

static void vec3_normalize1 ( double *  v1 )

inlinestatic

vec3_scale2()

static void vec3_scale2 ( double *  v1, double  a  )

inlinestatic

vec3_scale3()

template<class T , class U >

static void vec3_scale3 ( T *  v1, const T *  v2, U  a  )

inlinestatic

vec3_sub2()

template<class T >

static void vec3_sub2 ( T *  v1, const T *  v2  )

inlinestatic

vec3_sub3()

template<class T , class U , class V >

static void vec3_sub3 ( T *  v1, const U *  v2, const V *  v3  )

inlinestatic

vec4_copy()

static void vec4_copy ( double *  v1, const double *  v2  )

inlinestatic

vec4_dot()

static double vec4_dot ( const double *  v1, const double *  v2  )

inlinestatic

vec_outer()

static void vec_outer ( double *  v1, const double *  v2, const double *  v3, const int  n  )

inlinestatic

vec_zero()

static void vec_zero ( double *  v1, int  n  )

inlinestatic

within_abs_tolerance()

static bool within_abs_tolerance ( float  value, float  comp_value, float  tolerance  )

inlinestatic