InstallArea/include/BesVisLib/BesVisLib/vector3.h File Reference

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Classes
struct	vector3
struct	polar

Functions
vector3	InitV (float x, float y, float z)
vector3	InitV1 (float phi, float cosTheta, float magnitude)
float	Mag (vector3 v)
float	Mag2 (vector3 v)
float	Dot (vector3 v1, vector3 v2)
vector3	Cross (vector3 v1, vector3 v2)
vector3	Unit (vector3 v)
vector3	Intersection (float z0, vector3 vec, vector3 pos)
vector3	TimesA (float a, vector3 v)
vector3	AddV (vector3 v1, vector3 v2)
vector3	SubV (vector3 v1, vector3 v2)
vector3	TransformFrom (vector3 v, vector3 ux, vector3 uy, vector3 uz)
vector3	TransformTo (vector3 v, vector3 ux, vector3 uy, vector3 uz)
polar	XYZ2Polar (vector3 v)

Variables
const float	pi = 3.1415926536
const float	rad = 57.29578

Function Documentation

AddV()

vector3 AddV	(	vector3	v1,
		vector3	v2
	)

Definition at line 93 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{
  vector3 v;
  v.x = v1.x + v2.x;
  v.y = v1.y + v2.y;
  v.z = v1.z + v2.z;
  return v;
}

Referenced by TransformFrom().

Cross()

vector3 Cross	(	vector3	v1,
		vector3	v2
	)

Definition at line 49 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{
  vector3 v;
  v.x = v1.y*v2.z - v1.z*v2.y;
  v.y = v1.z*v2.x - v1.x*v2.z;
  v.z = v1.x*v2.y - v1.y*v2.x;
  return v;
}

Dot()

float Dot	(	vector3	v1,
		vector3	v2
	)

Definition at line 42 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{
  return v1.x*v2.x+v1.y*v2.y+v1.z*v2.z;
}

Referenced by TransformTo().

InitV()

vector3 InitV	(	float	x,
		float	y,
		float	z
	)

Definition at line 9 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{
  vector3 v;
  v.x = x;
  v.y = y;
  v.z = z;
  return v;
}

InitV1()

vector3 InitV1	(	float	phi,
		float	cosTheta,
		float	magnitude
	)

Definition at line 19 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{
  vector3 v;
  float sinTheta = sqrt(1.0-cosTheta*cosTheta);
  v.z = magnitude*cosTheta;
  v.y = magnitude*sinTheta*sin(phi);
  v.x = magnitude*sinTheta*cos(phi);
  return v;
}

Intersection()

vector3 Intersection	(	float	z0,
		vector3	vec,
		vector3	pos
	)

Definition at line 72 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{ 
  vector3 vz0;
  vz0.z = z0;
  vz0.x = (vz0.z - pos.z)*vec.x/vec.z + pos.x;
  vz0.y = (vz0.z - pos.z)*vec.y/vec.z + pos.y;
  return vz0;
}

Mag()

float Mag

(

vector3

v

)

Definition at line 30 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{
  return sqrt(v.x*v.x+v.y*v.y+v.z*v.z);
}

Referenced by Unit().

Mag2()

float Mag2

(

vector3

v

)

Definition at line 36 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{
  return v.x*v.x+v.y*v.y+v.z*v.z;
}

SubV()

vector3 SubV	(	vector3	v1,
		vector3	v2
	)

Definition at line 103 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{ 
  vector3 v;
  v.x = v1.x - v2.x;
  v.y = v1.y - v2.y;
  v.z = v1.z - v2.z;
  return v;
}

TimesA()

vector3 TimesA	(	float	a,
		vector3	v
	)

Definition at line 83 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{
  vector3 vv;
  vv.x = a*v.x;
  vv.y = a*v.y;
  vv.z = a*v.z;
  return vv;
}

Referenced by TransformFrom().

TransformFrom()

vector3 TransformFrom	(	vector3	v,
		vector3	ux,
		vector3	uy,
		vector3	uz
	)

Definition at line 113 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{
  ux = TimesA(v.x,ux);
  uy = TimesA(v.y,uy);
  uz = TimesA(v.z,uz);
  v = AddV(AddV(ux, uy), uz);
  return v;
}

TransformTo()

vector3 TransformTo	(	vector3	v,
		vector3	ux,
		vector3	uy,
		vector3	uz
	)

Definition at line 124 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{
  vector3 vv;
  vv.x = Dot(v,ux);
  vv.y = Dot(v,uy);
  vv.z = Dot(v,uz);
  return vv;
}

Unit()

vector3 Unit

(

vector3

v

)

Definition at line 59 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{
  vector3 vv;
  float p = Mag(v);
  vv.x = v.x/p;
  vv.y = v.y/p;
  vv.z = v.z/p;
  return vv;
}

XYZ2Polar()

polar XYZ2Polar

(

vector3

v

)

Definition at line 142 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

{
  polar s;
  float rxy;
 
  s.r = sqrt(v.x*v.x+v.y*v.y+v.z*v.z);
  if(s.r==0.0){
    s.theta = 0.0;
  }
  else{
    s.theta = acos(v.z/s.r);
  }
 
  rxy = sqrt(v.x*v.x+v.y*v.y);
  if(rxy==0.0){
    s.phi = 0.0;
  }
  else{
    if(v.y>=0.0) s.phi = acos(v.x/rxy);
    else{
      s.phi = 2.0*pi-acos(v.x/rxy);
    }
  }
 
  return s;
}

Variable Documentation

pi

const float pi = 3.1415926536

Definition at line 133 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.

Referenced by XYZ2Polar().

rad

const float rad = 57.29578

Definition at line 134 of file InstallArea/include/BesVisLib/BesVisLib/vector3.h.