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csDMath3 Class Reference

Various assorted 3D mathematical functions. More...

#include <math3d_d.h>

List of all members.

Static Public Methods

int WhichSide3D (const csDVector3 &p, const csDVector3 &v1, const csDVector3 &v2)

Tests which side of a plane the given 3D point is on. More...

bool Visible (const csDVector3 &p, const csDVector3 &t1, const csDVector3 &t2, const csDVector3 &t3)

Tests if the front face of a triangle is visible from the given point. More...

bool Visible (const csDVector3 &p, const csDPlane &pl)

Check if the plane is visible from the given point. More...

void Between (const csDVector3 &v1, const csDVector3 &v2, csDVector3 &v, double pct, double wid)

Calculates a vector lying a specified distance between two other vectors. More...

void SetMinMax (const csDVector3 &v, csDVector3 &min, csDVector3 &max)

Set the min and max vector if this vector exceeds their current limits. More...

double Area3 (const csDVector3 &a, const csDVector3 &b, const csDVector3 &c)

Compute twice the signed area of triangle composed by three points. More...

void CalcNormal (csDVector3 &norm, const csDVector3 &v1, const csDVector3 &v2, const csDVector3 &v3)

Calculate a plane normal given three vectors. More...

void CalcNormal (csDVector3 &norm, const csDVector3 &v, const csDVector3 &u)

Compute the normal given two (u,v) vectors. More...

void CalcPlane (const csDVector3 &v1, const csDVector3 &v2, const csDVector3 &v3, csDVector3 &normal, double &D)

Calculate the plane equation given three vectors. More...

bool PlanesEqual (const csDPlane &p1, const csDPlane &p2)

Check if two planes are almost equal. More...

bool PlanesClose (const csDPlane &p1, const csDPlane &p2)

Check if two planes are close together. More...

Detailed Description

Various assorted 3D mathematical functions.

This is a static class and contains only static member functions.

Member Function Documentation

double csDMath3::Area3 ( const csDVector3 & a,

const csDVector3 & b,

const csDVector3 & c ) [inline, static]

Compute twice the signed area of triangle composed by three points.
This function returns 2 x the area of the triangle formed by the points a, b, and c.

void csDMath3::Between ( const csDVector3 & v1,

const csDVector3 & v2,

csDVector3 & v,

double pct,

double wid ) [static]

Calculates a vector lying a specified distance between two other vectors.
Given vectors v1 and v2, this function will calculate and return vector v lying between them. If pct != -1, vector v will be the point which is pct % of the way from v1 to v2. Otherwise, if pct equals -1, v will be the point along 'v1-v2' which is distance wid from v1.

void csDMath3::CalcNormal ( csDVector3 & norm,

const csDVector3 & v,

const csDVector3 & u ) [inline, static]

Compute the normal given two (u,v) vectors.
This function will calculat the normal to a polygon with two edges represented by v and u. The result is stored in norm.

void csDMath3::CalcNormal ( csDVector3 & norm,

const csDVector3 & v1,

const csDVector3 & v2,

const csDVector3 & v3 ) [inline, static]

Calculate a plane normal given three vectors.
This function will calculate the normal to the plane formed by vectors v1, v2, and v3, and store the result in norm.

void csDMath3::CalcPlane ( const csDVector3 & v1,

const csDVector3 & v2,

const csDVector3 & v3,

csDVector3 & normal,

double & D ) [inline, static]

Calculate the plane equation given three vectors.
Given three vectors v1, v2, and v3, forming a plane, this function will calculate the plane equation and return the result in 'normal' and 'D'.

bool csDMath3::PlanesClose ( const csDPlane & p1,

const csDPlane & p2 ) [static]

Check if two planes are close together.
Two planes are close if there are almost equal OR if the normalized versions are almost equal.

bool csDMath3::PlanesEqual ( const csDPlane & p1,

const csDPlane & p2 ) [inline, static]

Check if two planes are almost equal.
The function returns true iff each component of the plane equation for one plane is within .001 of the corresponding component of the other plane.

void csDMath3::SetMinMax ( const csDVector3 & v,

csDVector3 & min,

csDVector3 & max ) [inline, static]

Set the min and max vector if this vector exceeds their current limits.
This function will check each component of vector v against the maximum and minimum values specified by min and max. If the limits are exceeded, new min or max values will be set.

bool csDMath3::Visible ( const csDVector3 & p,

const csDPlane & pl ) [inline, static]

Check if the plane is visible from the given point.
This function does a back-face culling test to see whether the front face of plane pl is visible from point p.

bool csDMath3::Visible ( const csDVector3 & p,

const csDVector3 & t1,

const csDVector3 & t2,

const csDVector3 & t3 ) [static]

Tests if the front face of a triangle is visible from the given point.
Visibility test (backface culling) to see if the triangle formed by t1, t2, and t3 is visible from point p.

int csDMath3::WhichSide3D ( const csDVector3 & p,

const csDVector3 & v1,

const csDVector3 & v2 ) [inline, static]

Tests which side of a plane the given 3D point is on.
Return -1 if point p is left of plane '0-v1-v2', 1 if point p is right of plane '0-v1-v2', or 0 if point p lies on plane '0-v1-v2'. Plane '0-v1-v2' is the plane passing through points <0,0,0>, v1, and v2.

The documentation for this class was generated from the following file:

math3d_d.h