A 3D Dynamic Geometry Software

Calques 3D C++

3dmath.cpp File Reference

Detailed Description

implementation for 3dmath classes

Version:
0.1
Date:
15/06/99
Author:
Alessandro Falappa


Functions

vector operator * (const vector &v, const real &fact)
vector operator * (const real &fact, const vector &v)
vector Bisect (vector v0, vector v1)
 returns the unit vector which halves the arc between v0 and v1
quaternion operator * (const quaternion &q, const real &fact)
quaternion operator * (const real &fact, const quaternion &q)
int operator== (const quaternion &q1, const quaternion &q2)
int operator!= (const quaternion &q1, const quaternion &q2)
unitquaternion operator+ (const unitquaternion &q1, const unitquaternion &q2)
unitquaternion operator- (const unitquaternion &q1, const unitquaternion &q2)
unitquaternion operator * (const unitquaternion &q, const real &s)
unitquaternion operator * (const real &s, const unitquaternion &q)
unitquaternion operator/ (const unitquaternion &q, const real &s)

Variables

const vector ORIGIN (0, 0, 0)
 the vector representing the origin
const vector X_AXIS (1, 0, 0)
 the unit vector associated to the x axys
const vector Y_AXIS (0, 1, 0)
 the unit vector associated to the y axys
const vector Z_AXIS (0, 0, 1)
 the unit vector associated to the z axys
const real G_PI = 3.14159265359
 the greek pi constant
const real G_HALF_PI = 1.570796326795
 greek pi / 2
const real G_DOUBLE_PI = 6.28318530718
 2 * greek pi

Function Documentation

vector Bisect ( vector  v0,
vector  v1 
)

returns the unit vector which halves the arc between v0 and v1

unitquaternion operator * ( const real &  s,
const unitquaternion &  q 
)

This function has been defined to trap the use of an operation which is not allowed

unitquaternion operator * ( const unitquaternion &  q,
const real &  s 
)

This function has been defined to trap the use of an operation which is not allowed

quaternion operator * ( const real &  fact,
const quaternion &  q 
)

This function together with operator*(quaternion,real) implements the commutative product of a scalar by a quaternion

quaternion operator * ( const quaternion &  q,
const real &  fact 
)

This function together with operator*(real,quaternion) implements the commutative product of a scalar by a quaternion

vector operator * ( const real &  fact,
const vector &  v 
)

This function together with operator*(vector,real) implements the commutative product of a scalar by a vector

vector operator * ( const vector &  v,
const real &  fact 
)

This function together with operator*(real,vector) implements the commutative product of a scalar by a vector

int operator!= ( const quaternion &  q1,
const quaternion &  q2 
)

This function check if two quaternions are not equal.

unitquaternion operator+ ( const unitquaternion &  q1,
const unitquaternion &  q2 
)

This function has been defined to trap the use of an operation which is not allowed

unitquaternion operator- ( const unitquaternion &  q1,
const unitquaternion &  q2 
)

This function has been defined to trap the use of an operation which is not allowed

unitquaternion operator/ ( const unitquaternion &  q,
const real &  s 
)

This function has been defined to trap the use of an operation which is not allowed

int operator== ( const quaternion &  q1,
const quaternion &  q2 
)

This function check if two quaternions are equal.

Variable Documentation

const real G_DOUBLE_PI = 6.28318530718

2 * greek pi

const real G_HALF_PI = 1.570796326795

greek pi / 2

const real G_PI = 3.14159265359

the greek pi constant

const vector ORIGIN(0, 0, 0)

the vector representing the origin

const vector X_AXIS(1, 0, 0)

the unit vector associated to the x axys

const vector Y_AXIS(0, 1, 0)

the unit vector associated to the y axys

const vector Z_AXIS(0, 0, 1)

the unit vector associated to the z axys