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spheres.c
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C/C++ Source or Header
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1991-04-30
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8KB
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249 lines
/*****************************************************************************
*
* spheres.c
*
* from DKBTrace (c) 1990 David Buck
*
* This module implements the sphere primitive.
*
* This software is freely distributable. The source and/or object code may be
* copied or uploaded to communications services so long as this notice remains
* at the top of each file. If any changes are made to the program, you must
* clearly indicate in the documentation and in the programs startup message
* who it was who made the changes. The documentation should also describe what
* those changes were. This software may not be included in whole or in
* part into any commercial package without the express written consent of the
* author. It may, however, be included in other public domain or freely
* distributed software so long as the proper credit for the software is given.
*
* This software is provided as is without any guarantees or warranty. Although
* the author has attempted to find and correct any bugs in the software, he
* is not responsible for any damage caused by the use of the software. The
* author is under no obligation to provide service, corrections, or upgrades
* to this package.
*
* Despite all the legal stuff above, if you do find bugs, I would like to hear
* about them. Also, if you have any comments or questions, you may contact me
* at the following address:
*
* David Buck
* 22C Sonnet Cres.
* Nepean Ontario
* Canada, K2H 8W7
*
* I can also be reached on the following bulleton boards:
*
* OMX (613) 731-3419
* Mystic (613) 596-4249 or (613) 596-4772
*
* Fidonet: 1:163/109.9
* Internet: dbuck@ccs.carleton.ca
* The "You Can Call Me RAY" BBS (708) 358-5611
*
* IBM Port by Aaron A. Collins. Aaron may be reached on the following BBS'es:
*
* The "You Can Call Me RAY" BBS (708) 358-5611
* The Information Exchange BBS (708) 945-5575
*
*****************************************************************************/
#include "frame.h"
#include "vector.h"
#include "dkbproto.h"
METHODS Sphere_Methods =
{ Object_Intersect, All_Sphere_Intersections,
Inside_Sphere, Sphere_Normal,
Copy_Sphere,
Translate_Sphere, Rotate_Sphere,
Scale_Sphere, Invert_Sphere};
extern SPHERE *Get_Sphere_Shape();
extern RAY *VP_Ray;
extern long Ray_Sphere_Tests, Ray_Sphere_Tests_Succeeded;
int All_Sphere_Intersections (Object, Ray, Depth_Queue)
OBJECT *Object;
RAY *Ray;
PRIOQ *Depth_Queue;
{
DBL Depth1, Depth2;
VECTOR Intersection_Point;
INTERSECTION Local_Element;
register int Intersection_Found;
SPHERE *Shape = (SPHERE *) Object;
Intersection_Found = FALSE;
if (Intersect_Sphere (Ray, Shape, &Depth1, &Depth2))
{
Local_Element.Depth = Depth1;
Local_Element.Object = Shape -> Parent_Object;
VScale (Intersection_Point, Ray -> Direction, Depth1);
VAdd (Intersection_Point, Intersection_Point, Ray -> Initial);
Local_Element.Point = Intersection_Point;
Local_Element.Shape = (SHAPE *)Shape;
pq_add (Depth_Queue, &Local_Element);
Intersection_Found = TRUE;
if (Depth2 != Depth1)
{
Local_Element.Depth = Depth2;
Local_Element.Object = Shape -> Parent_Object;
VScale (Intersection_Point, Ray -> Direction, Depth2);
VAdd (Intersection_Point, Intersection_Point, Ray -> Initial);
Local_Element.Point = Intersection_Point;
Local_Element.Shape = (SHAPE *) Shape;
pq_add (Depth_Queue, &Local_Element);
Intersection_Found = TRUE;
}
}
return (Intersection_Found);
}
int Intersect_Sphere (Ray, Sphere, Depth1, Depth2)
RAY *Ray;
SPHERE *Sphere;
DBL *Depth1, *Depth2;
{
VECTOR Origin_To_Center;
DBL OCSquared, t_Closest_Approach, Half_Chord, t_Half_Chord_Squared;
short inside;
Ray_Sphere_Tests++;
if (Ray == VP_Ray) {
if (!Sphere->VPCached) {
VSub (Sphere->VPOtoC, Sphere->Center, Ray->Initial);
VDot (Sphere->VPOCSquared, Sphere->VPOtoC, Sphere->VPOtoC);
Sphere->VPinside = (Sphere->VPOCSquared < Sphere->Radius_Squared);
Sphere->VPCached = TRUE;
}
VDot (t_Closest_Approach, Sphere->VPOtoC, Ray->Direction);
if (!Sphere->VPinside && (t_Closest_Approach < Small_Tolerance))
return (FALSE);
t_Half_Chord_Squared = Sphere->Radius_Squared - Sphere->VPOCSquared +
(t_Closest_Approach * t_Closest_Approach);
}
else {
VSub (Origin_To_Center, Sphere->Center, Ray->Initial);
VDot (OCSquared, Origin_To_Center, Origin_To_Center);
inside = (OCSquared < Sphere->Radius_Squared);
VDot (t_Closest_Approach, Origin_To_Center, Ray->Direction);
if (!inside && (t_Closest_Approach < Small_Tolerance))
return (FALSE);
t_Half_Chord_Squared = Sphere->Radius_Squared - OCSquared +
(t_Closest_Approach * t_Closest_Approach);
}
if (t_Half_Chord_Squared < Small_Tolerance)
return (FALSE);
Half_Chord = sqrt (t_Half_Chord_Squared);
*Depth1 = t_Closest_Approach + Half_Chord;
*Depth2 = t_Closest_Approach - Half_Chord;
if ((*Depth1 < Small_Tolerance) || (*Depth1 > Max_Distance))
if ((*Depth2 < Small_Tolerance) || (*Depth2 > Max_Distance))
return (FALSE);
else
*Depth1 = *Depth2;
else
if ((*Depth2 < Small_Tolerance) || (*Depth2 > Max_Distance))
*Depth2 = *Depth1;
Ray_Sphere_Tests_Succeeded++;
return (TRUE);
}
int Inside_Sphere (Test_Point, Object)
VECTOR *Test_Point;
OBJECT *Object;
{
VECTOR Origin_To_Center;
DBL OCSquared;
SPHERE *Sphere = (SPHERE *) Object;
VSub (Origin_To_Center, Sphere->Center, *Test_Point);
VDot (OCSquared, Origin_To_Center, Origin_To_Center);
if (Sphere->Inverted)
return (OCSquared - Sphere->Radius_Squared > Small_Tolerance);
else
return (OCSquared - Sphere->Radius_Squared < Small_Tolerance);
}
void Sphere_Normal (Result, Object, Intersection_Point)
OBJECT *Object;
VECTOR *Result, *Intersection_Point;
{
SPHERE *Sphere = (SPHERE *) Object;
VSub (*Result, *Intersection_Point, Sphere->Center);
VScale (*Result, *Result, Sphere->Inverse_Radius);
}
void *Copy_Sphere (Object)
OBJECT *Object;
{
SPHERE *New_Shape;
New_Shape = Get_Sphere_Shape ();
*New_Shape = *((SPHERE *) Object);
New_Shape -> Next_Object = NULL;
if (New_Shape->Shape_Texture != NULL)
New_Shape->Shape_Texture = Copy_Texture (New_Shape->Shape_Texture);
return (New_Shape);
}
void Translate_Sphere (Object, Vector)
OBJECT *Object;
VECTOR *Vector;
{
VAdd (((SPHERE *) Object)->Center, ((SPHERE *) Object)->Center, *Vector);
Translate_Texture (&((SPHERE *) Object)->Shape_Texture, Vector);
}
void Rotate_Sphere (Object, Vector)
OBJECT *Object;
VECTOR *Vector;
{
TRANSFORMATION Transformation;
Get_Rotation_Transformation (&Transformation, Vector);
MTransformVector (&((SPHERE *) Object)->Center,
&((SPHERE *) Object)->Center, &Transformation);
Rotate_Texture (&((SPHERE *) Object)->Shape_Texture, Vector);
}
void Scale_Sphere (Object, Vector)
OBJECT *Object;
VECTOR *Vector;
{
SPHERE *Sphere = (SPHERE *) Object;
if ((Vector->x != Vector->y) ||
(Vector->x != Vector->z)) {
fprintf (stderr, "Error - you cannot scale a sphere unevenly\n");
exit (1);
}
VScale (Sphere->Center, Sphere->Center, Vector->x);
Sphere->Radius *= Vector->x;
Sphere->Radius_Squared = Sphere->Radius * Sphere->Radius;
Sphere->Inverse_Radius = 1.0 / Sphere->Radius;
Scale_Texture (&((SPHERE *) Object)->Shape_Texture, Vector);
}
void Invert_Sphere (Object)
OBJECT *Object;
{
((SPHERE *) Object)->Inverted ^= TRUE;
}