mirror of
https://github.com/id-Software/DOOM-3-BFG.git
synced 2024-12-11 05:01:25 +00:00
401 lines
11 KiB
C++
401 lines
11 KiB
C++
/*
|
|
===========================================================================
|
|
|
|
Doom 3 BFG Edition GPL Source Code
|
|
Copyright (C) 1993-2012 id Software LLC, a ZeniMax Media company.
|
|
|
|
This file is part of the Doom 3 BFG Edition GPL Source Code ("Doom 3 BFG Edition Source Code").
|
|
|
|
Doom 3 BFG Edition Source Code is free software: you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation, either version 3 of the License, or
|
|
(at your option) any later version.
|
|
|
|
Doom 3 BFG Edition Source Code is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with Doom 3 BFG Edition Source Code. If not, see <http://www.gnu.org/licenses/>.
|
|
|
|
In addition, the Doom 3 BFG Edition Source Code is also subject to certain additional terms. You should have received a copy of these additional terms immediately following the terms and conditions of the GNU General Public License which accompanied the Doom 3 BFG Edition Source Code. If not, please request a copy in writing from id Software at the address below.
|
|
|
|
If you have questions concerning this license or the applicable additional terms, you may contact in writing id Software LLC, c/o ZeniMax Media Inc., Suite 120, Rockville, Maryland 20850 USA.
|
|
|
|
===========================================================================
|
|
*/
|
|
|
|
#ifndef __MATH_PLANE_H__
|
|
#define __MATH_PLANE_H__
|
|
|
|
/*
|
|
===============================================================================
|
|
|
|
3D plane with equation: a * x + b * y + c * z + d = 0
|
|
|
|
===============================================================================
|
|
*/
|
|
|
|
|
|
class idVec3;
|
|
class idMat3;
|
|
|
|
#define ON_EPSILON 0.1f
|
|
#define DEGENERATE_DIST_EPSILON 1e-4f
|
|
|
|
#define SIDE_FRONT 0
|
|
#define SIDE_BACK 1
|
|
#define SIDE_ON 2
|
|
#define SIDE_CROSS 3
|
|
|
|
// plane sides
|
|
#define PLANESIDE_FRONT 0
|
|
#define PLANESIDE_BACK 1
|
|
#define PLANESIDE_ON 2
|
|
#define PLANESIDE_CROSS 3
|
|
|
|
// plane types
|
|
#define PLANETYPE_X 0
|
|
#define PLANETYPE_Y 1
|
|
#define PLANETYPE_Z 2
|
|
#define PLANETYPE_NEGX 3
|
|
#define PLANETYPE_NEGY 4
|
|
#define PLANETYPE_NEGZ 5
|
|
#define PLANETYPE_TRUEAXIAL 6 // all types < 6 are true axial planes
|
|
#define PLANETYPE_ZEROX 6
|
|
#define PLANETYPE_ZEROY 7
|
|
#define PLANETYPE_ZEROZ 8
|
|
#define PLANETYPE_NONAXIAL 9
|
|
|
|
class idPlane {
|
|
public:
|
|
idPlane();
|
|
explicit idPlane( float a, float b, float c, float d );
|
|
explicit idPlane( const idVec3 &normal, const float dist );
|
|
explicit idPlane( const idVec3 & v0, const idVec3 & v1, const idVec3 & v2, bool fixDegenerate = false );
|
|
|
|
float operator[]( int index ) const;
|
|
float & operator[]( int index );
|
|
idPlane operator-() const; // flips plane
|
|
idPlane & operator=( const idVec3 &v ); // sets normal and sets idPlane::d to zero
|
|
idPlane operator+( const idPlane &p ) const; // add plane equations
|
|
idPlane operator-( const idPlane &p ) const; // subtract plane equations
|
|
idPlane operator*( const float s ) const; // scale plane
|
|
idPlane & operator*=( const idMat3 &m ); // Normal() *= m
|
|
|
|
bool Compare( const idPlane &p ) const; // exact compare, no epsilon
|
|
bool Compare( const idPlane &p, const float epsilon ) const; // compare with epsilon
|
|
bool Compare( const idPlane &p, const float normalEps, const float distEps ) const; // compare with epsilon
|
|
bool operator==( const idPlane &p ) const; // exact compare, no epsilon
|
|
bool operator!=( const idPlane &p ) const; // exact compare, no epsilon
|
|
|
|
void Zero(); // zero plane
|
|
void SetNormal( const idVec3 &normal ); // sets the normal
|
|
const idVec3 & Normal() const; // reference to const normal
|
|
idVec3 & Normal(); // reference to normal
|
|
float Normalize( bool fixDegenerate = true ); // only normalizes the plane normal, does not adjust d
|
|
bool FixDegenerateNormal(); // fix degenerate normal
|
|
bool FixDegeneracies( float distEpsilon ); // fix degenerate normal and dist
|
|
float Dist() const; // returns: -d
|
|
void SetDist( const float dist ); // sets: d = -dist
|
|
int Type() const; // returns plane type
|
|
|
|
bool FromPoints( const idVec3 &p1, const idVec3 &p2, const idVec3 &p3, bool fixDegenerate = true );
|
|
bool FromVecs( const idVec3 &dir1, const idVec3 &dir2, const idVec3 &p, bool fixDegenerate = true );
|
|
void FitThroughPoint( const idVec3 &p ); // assumes normal is valid
|
|
bool HeightFit( const idVec3 *points, const int numPoints );
|
|
idPlane Translate( const idVec3 &translation ) const;
|
|
idPlane & TranslateSelf( const idVec3 &translation );
|
|
idPlane Rotate( const idVec3 &origin, const idMat3 &axis ) const;
|
|
idPlane & RotateSelf( const idVec3 &origin, const idMat3 &axis );
|
|
|
|
float Distance( const idVec3 &v ) const;
|
|
int Side( const idVec3 &v, const float epsilon = 0.0f ) const;
|
|
|
|
bool LineIntersection( const idVec3 &start, const idVec3 &end ) const;
|
|
// intersection point is start + dir * scale
|
|
bool RayIntersection( const idVec3 &start, const idVec3 &dir, float &scale ) const;
|
|
bool PlaneIntersection( const idPlane &plane, idVec3 &start, idVec3 &dir ) const;
|
|
|
|
int GetDimension() const;
|
|
|
|
const idVec4 & ToVec4() const;
|
|
idVec4 & ToVec4();
|
|
const float * ToFloatPtr() const;
|
|
float * ToFloatPtr();
|
|
const char * ToString( int precision = 2 ) const;
|
|
|
|
private:
|
|
float a;
|
|
float b;
|
|
float c;
|
|
float d;
|
|
};
|
|
|
|
extern idPlane plane_origin;
|
|
#define plane_zero plane_origin
|
|
|
|
ID_INLINE idPlane::idPlane() {
|
|
}
|
|
|
|
ID_INLINE idPlane::idPlane( float a, float b, float c, float d ) {
|
|
this->a = a;
|
|
this->b = b;
|
|
this->c = c;
|
|
this->d = d;
|
|
}
|
|
|
|
ID_INLINE idPlane::idPlane( const idVec3 &normal, const float dist ) {
|
|
this->a = normal.x;
|
|
this->b = normal.y;
|
|
this->c = normal.z;
|
|
this->d = -dist;
|
|
}
|
|
|
|
ID_INLINE idPlane::idPlane( const idVec3 & v0, const idVec3 & v1, const idVec3 & v2, bool fixDegenerate ) {
|
|
FromPoints( v0, v1, v2, fixDegenerate );
|
|
}
|
|
|
|
ID_INLINE float idPlane::operator[]( int index ) const {
|
|
return ( &a )[ index ];
|
|
}
|
|
|
|
ID_INLINE float& idPlane::operator[]( int index ) {
|
|
return ( &a )[ index ];
|
|
}
|
|
|
|
ID_INLINE idPlane idPlane::operator-() const {
|
|
return idPlane( -a, -b, -c, -d );
|
|
}
|
|
|
|
ID_INLINE idPlane &idPlane::operator=( const idVec3 &v ) {
|
|
a = v.x;
|
|
b = v.y;
|
|
c = v.z;
|
|
d = 0;
|
|
return *this;
|
|
}
|
|
|
|
ID_INLINE idPlane idPlane::operator+( const idPlane &p ) const {
|
|
return idPlane( a + p.a, b + p.b, c + p.c, d + p.d );
|
|
}
|
|
|
|
ID_INLINE idPlane idPlane::operator-( const idPlane &p ) const {
|
|
return idPlane( a - p.a, b - p.b, c - p.c, d - p.d );
|
|
}
|
|
|
|
ID_INLINE idPlane idPlane::operator*( const float s ) const {
|
|
return idPlane( a * s, b * s, c * s, d * s );
|
|
}
|
|
|
|
ID_INLINE idPlane &idPlane::operator*=( const idMat3 &m ) {
|
|
Normal() *= m;
|
|
return *this;
|
|
}
|
|
|
|
ID_INLINE bool idPlane::Compare( const idPlane &p ) const {
|
|
return ( a == p.a && b == p.b && c == p.c && d == p.d );
|
|
}
|
|
|
|
ID_INLINE bool idPlane::Compare( const idPlane &p, const float epsilon ) const {
|
|
if ( idMath::Fabs( a - p.a ) > epsilon ) {
|
|
return false;
|
|
}
|
|
|
|
if ( idMath::Fabs( b - p.b ) > epsilon ) {
|
|
return false;
|
|
}
|
|
|
|
if ( idMath::Fabs( c - p.c ) > epsilon ) {
|
|
return false;
|
|
}
|
|
|
|
if ( idMath::Fabs( d - p.d ) > epsilon ) {
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
ID_INLINE bool idPlane::Compare( const idPlane &p, const float normalEps, const float distEps ) const {
|
|
if ( idMath::Fabs( d - p.d ) > distEps ) {
|
|
return false;
|
|
}
|
|
if ( !Normal().Compare( p.Normal(), normalEps ) ) {
|
|
return false;
|
|
}
|
|
return true;
|
|
}
|
|
|
|
ID_INLINE bool idPlane::operator==( const idPlane &p ) const {
|
|
return Compare( p );
|
|
}
|
|
|
|
ID_INLINE bool idPlane::operator!=( const idPlane &p ) const {
|
|
return !Compare( p );
|
|
}
|
|
|
|
ID_INLINE void idPlane::Zero() {
|
|
a = b = c = d = 0.0f;
|
|
}
|
|
|
|
ID_INLINE void idPlane::SetNormal( const idVec3 &normal ) {
|
|
a = normal.x;
|
|
b = normal.y;
|
|
c = normal.z;
|
|
}
|
|
|
|
ID_INLINE const idVec3 &idPlane::Normal() const {
|
|
return *reinterpret_cast<const idVec3 *>(&a);
|
|
}
|
|
|
|
ID_INLINE idVec3 &idPlane::Normal() {
|
|
return *reinterpret_cast<idVec3 *>(&a);
|
|
}
|
|
|
|
ID_INLINE float idPlane::Normalize( bool fixDegenerate ) {
|
|
float length = reinterpret_cast<idVec3 *>(&a)->Normalize();
|
|
|
|
if ( fixDegenerate ) {
|
|
FixDegenerateNormal();
|
|
}
|
|
return length;
|
|
}
|
|
|
|
ID_INLINE bool idPlane::FixDegenerateNormal() {
|
|
return Normal().FixDegenerateNormal();
|
|
}
|
|
|
|
ID_INLINE bool idPlane::FixDegeneracies( float distEpsilon ) {
|
|
bool fixedNormal = FixDegenerateNormal();
|
|
// only fix dist if the normal was degenerate
|
|
if ( fixedNormal ) {
|
|
if ( idMath::Fabs( d - idMath::Rint( d ) ) < distEpsilon ) {
|
|
d = idMath::Rint( d );
|
|
}
|
|
}
|
|
return fixedNormal;
|
|
}
|
|
|
|
ID_INLINE float idPlane::Dist() const {
|
|
return -d;
|
|
}
|
|
|
|
ID_INLINE void idPlane::SetDist( const float dist ) {
|
|
d = -dist;
|
|
}
|
|
|
|
ID_INLINE bool idPlane::FromPoints( const idVec3 &p1, const idVec3 &p2, const idVec3 &p3, bool fixDegenerate ) {
|
|
Normal() = (p1 - p2).Cross( p3 - p2 );
|
|
if ( Normalize( fixDegenerate ) == 0.0f ) {
|
|
return false;
|
|
}
|
|
d = -( Normal() * p2 );
|
|
return true;
|
|
}
|
|
|
|
ID_INLINE bool idPlane::FromVecs( const idVec3 &dir1, const idVec3 &dir2, const idVec3 &p, bool fixDegenerate ) {
|
|
Normal() = dir1.Cross( dir2 );
|
|
if ( Normalize( fixDegenerate ) == 0.0f ) {
|
|
return false;
|
|
}
|
|
d = -( Normal() * p );
|
|
return true;
|
|
}
|
|
|
|
ID_INLINE void idPlane::FitThroughPoint( const idVec3 &p ) {
|
|
d = -( Normal() * p );
|
|
}
|
|
|
|
ID_INLINE idPlane idPlane::Translate( const idVec3 &translation ) const {
|
|
return idPlane( a, b, c, d - translation * Normal() );
|
|
}
|
|
|
|
ID_INLINE idPlane &idPlane::TranslateSelf( const idVec3 &translation ) {
|
|
d -= translation * Normal();
|
|
return *this;
|
|
}
|
|
|
|
ID_INLINE idPlane idPlane::Rotate( const idVec3 &origin, const idMat3 &axis ) const {
|
|
idPlane p;
|
|
p.Normal() = Normal() * axis;
|
|
p.d = d + origin * Normal() - origin * p.Normal();
|
|
return p;
|
|
}
|
|
|
|
ID_INLINE idPlane &idPlane::RotateSelf( const idVec3 &origin, const idMat3 &axis ) {
|
|
d += origin * Normal();
|
|
Normal() *= axis;
|
|
d -= origin * Normal();
|
|
return *this;
|
|
}
|
|
|
|
ID_INLINE float idPlane::Distance( const idVec3 &v ) const {
|
|
return a * v.x + b * v.y + c * v.z + d;
|
|
}
|
|
|
|
ID_INLINE int idPlane::Side( const idVec3 &v, const float epsilon ) const {
|
|
float dist = Distance( v );
|
|
if ( dist > epsilon ) {
|
|
return PLANESIDE_FRONT;
|
|
}
|
|
else if ( dist < -epsilon ) {
|
|
return PLANESIDE_BACK;
|
|
}
|
|
else {
|
|
return PLANESIDE_ON;
|
|
}
|
|
}
|
|
|
|
ID_INLINE bool idPlane::LineIntersection( const idVec3 &start, const idVec3 &end ) const {
|
|
float d1, d2, fraction;
|
|
|
|
d1 = Normal() * start + d;
|
|
d2 = Normal() * end + d;
|
|
if ( d1 == d2 ) {
|
|
return false;
|
|
}
|
|
if ( d1 > 0.0f && d2 > 0.0f ) {
|
|
return false;
|
|
}
|
|
if ( d1 < 0.0f && d2 < 0.0f ) {
|
|
return false;
|
|
}
|
|
fraction = ( d1 / ( d1 - d2 ) );
|
|
return ( fraction >= 0.0f && fraction <= 1.0f );
|
|
}
|
|
|
|
ID_INLINE bool idPlane::RayIntersection( const idVec3 &start, const idVec3 &dir, float &scale ) const {
|
|
float d1, d2;
|
|
|
|
d1 = Normal() * start + d;
|
|
d2 = Normal() * dir;
|
|
if ( d2 == 0.0f ) {
|
|
return false;
|
|
}
|
|
scale = -( d1 / d2 );
|
|
return true;
|
|
}
|
|
|
|
ID_INLINE int idPlane::GetDimension() const {
|
|
return 4;
|
|
}
|
|
|
|
ID_INLINE const idVec4 &idPlane::ToVec4() const {
|
|
return *reinterpret_cast<const idVec4 *>(&a);
|
|
}
|
|
|
|
ID_INLINE idVec4 &idPlane::ToVec4() {
|
|
return *reinterpret_cast<idVec4 *>(&a);
|
|
}
|
|
|
|
ID_INLINE const float *idPlane::ToFloatPtr() const {
|
|
return reinterpret_cast<const float *>(&a);
|
|
}
|
|
|
|
ID_INLINE float *idPlane::ToFloatPtr() {
|
|
return reinterpret_cast<float *>(&a);
|
|
}
|
|
|
|
#endif /* !__MATH_PLANE_H__ */
|