/*
================
CM_TraceThroughVerticalCylinder
get the first intersection of the ray with the cylinder
the cylinder extends halfheight above and below the origin
================
*/
static void CM_TraceThroughVerticalCylinder(traceWork_t *tw, vec3_t origin, float radius, float halfheight, vec3_t start, vec3_t end)
{
float length, l1, l2;
float /*a, */ b, c, d;
vec3_t v1, dir, start2d, end2d, org2d;
// 2d coordinates
VectorSet(start2d, start[0], start[1], 0);
VectorSet(end2d, end[0], end[1], 0);
VectorSet(org2d, origin[0], origin[1], 0);
// if between lower and upper cylinder bounds
if (start[2] <= origin[2] + halfheight &&
start[2] >= origin[2] - halfheight)
{
// if inside the cylinder
VectorSubtract(start2d, org2d, dir);
l1 = VectorLengthSquared(dir);
if (l1 < Square(radius))
{
tw->trace.fraction = 0;
tw->trace.startsolid = qtrue;
VectorSubtract(end2d, org2d, dir);
l1 = VectorLengthSquared(dir);
if (l1 < Square(radius))
{
tw->trace.allsolid = qtrue;
}
return;
}
}
//
VectorSubtract(end2d, start2d, dir);
length = VectorNormalize(dir);
//
l1 = CM_DistanceFromLineSquared(org2d, start2d, end2d, dir);
VectorSubtract(end2d, org2d, v1);
l2 = VectorLengthSquared(v1);
// if no intersection with the cylinder and the end point is at least an epsilon away
if (l1 >= Square(radius) && l2 > Square(radius + SURFACE_CLIP_EPSILON))
{
return;
}
// (start[0] - origin[0] - t * dir[0]) ^ 2 + (start[1] - origin[1] - t * dir[1]) ^ 2 = radius ^ 2
// (v1[0] + t * dir[0]) ^ 2 + (v1[1] + t * dir[1]) ^ 2 = radius ^ 2;
// v1[0] ^ 2 + 2 * v1[0] * t * dir[0] + (t * dir[0]) ^ 2 +
// v1[1] ^ 2 + 2 * v1[1] * t * dir[1] + (t * dir[1]) ^ 2 = radius ^ 2
// t ^ 2 * (dir[0] ^ 2 + dir[1] ^ 2) + t * (2 * v1[0] * dir[0] + 2 * v1[1] * dir[1]) +
// v1[0] ^ 2 + v1[1] ^ 2 - radius ^ 2 = 0
VectorSubtract(start, origin, v1);
// dir is normalized so we can use a = 1
//a = 1.0f; // * (dir[0] * dir[0] + dir[1] * dir[1]);
b = 2.0f * (v1[0] * dir[0] + v1[1] * dir[1]);
c = v1[0] * v1[0] + v1[1] * v1[1] - (radius + RADIUS_EPSILON) * (radius + RADIUS_EPSILON);
d = b * b - 4.0f * c; // * a;
if (d > 0)
{
float sqrtd = SquareRootFloat(d);
// = (- b + sqrtd) * 0.5f;// / (2.0f * a);
float fraction = (-b - sqrtd) * 0.5f; // / (2.0f * a);
if (fraction < 0)
{
fraction = 0;
}
else
{
fraction /= length;
}
if (fraction < tw->trace.fraction)
{
vec3_t intersection;
VectorSubtract(end, start, dir);
VectorMA(start, fraction, dir, intersection);
// if the intersection is between the cylinder lower and upper bound
if (intersection[2] <= origin[2] + halfheight &&
intersection[2] >= origin[2] - halfheight)
{
float scale;
tw->trace.fraction = fraction;
VectorSubtract(intersection, origin, dir);
dir[2] = 0;
#ifdef CAPSULE_DEBUG
l2 = VectorLength(dir);
if (l2 <= radius)
{
int bah = 1;
}
#endif
scale = 1 / (radius + RADIUS_EPSILON);
VectorScale(dir, scale, dir);
VectorCopy(dir, tw->trace.plane.normal);
VectorAdd(tw->modelOrigin, intersection, intersection);
tw->trace.plane.dist = DotProduct(tw->trace.plane.normal, intersection);
tw->trace.contents = CONTENTS_BODY;
}
}
}
/*
else if (d == 0)
{
//t[0] = (- b ) / 2 * a;
// slide along the cylinder
}
*/
// no intersection at all
}
/*
================
CM_TraceThroughSphere
get the first intersection of the ray with the sphere
================
*/
static void CM_TraceThroughSphere(traceWork_t *tw, vec3_t origin, float radius, vec3_t start, vec3_t end)
{
float l1, l2, length;
float /*a, */ b, c, d;
vec3_t v1, dir;
// if inside the sphere
VectorSubtract(start, origin, dir);
l1 = VectorLengthSquared(dir);
if (l1 < Square(radius))
{
tw->trace.fraction = 0;
tw->trace.startsolid = qtrue;
// test for allsolid
VectorSubtract(end, origin, dir);
l1 = VectorLengthSquared(dir);
if (l1 < Square(radius))
{
tw->trace.allsolid = qtrue;
}
return;
}
VectorSubtract(end, start, dir);
length = VectorNormalize(dir);
l1 = CM_DistanceFromLineSquared(origin, start, end, dir);
VectorSubtract(end, origin, v1);
l2 = VectorLengthSquared(v1);
// if no intersection with the sphere and the end point is at least an epsilon away
if (l1 >= Square(radius) && l2 > Square(radius + SURFACE_CLIP_EPSILON))
{
return;
}
// | origin - (start + t * dir) | = radius
// a = dir[0]^2 + dir[1]^2 + dir[2]^2;
// b = 2 * (dir[0] * (start[0] - origin[0]) + dir[1] * (start[1] - origin[1]) + dir[2] * (start[2] - origin[2]));
// c = (start[0] - origin[0])^2 + (start[1] - origin[1])^2 + (start[2] - origin[2])^2 - radius^2;
VectorSubtract(start, origin, v1);
// dir is normalized so a = 1
//a = 1.0f; //dir[0] * dir[0] + dir[1] * dir[1] + dir[2] * dir[2];
b = 2.0f * (dir[0] * v1[0] + dir[1] * v1[1] + dir[2] * v1[2]);
c = v1[0] * v1[0] + v1[1] * v1[1] + v1[2] * v1[2] - (radius + RADIUS_EPSILON) * (radius + RADIUS_EPSILON);
d = b * b - 4.0f * c; // * a;
if (d > 0)
{
vec3_t intersection;
float sqrtd = SquareRootFloat(d);
// = (- b + sqrtd) * 0.5f; // / (2.0f * a);
float fraction = (-b - sqrtd) * 0.5f; // / (2.0f * a);
if (fraction < 0)
{
fraction = 0;
}
else
{
fraction /= length;
}
if (fraction < tw->trace.fraction)
{
float scale;
tw->trace.fraction = fraction;
VectorSubtract(end, start, dir);
VectorMA(start, fraction, dir, intersection);
VectorSubtract(intersection, origin, dir);
#ifdef CAPSULE_DEBUG
l2 = VectorLength(dir);
if (l2 < radius)
{
int bah = 1;
}
#endif
scale = 1 / (radius + RADIUS_EPSILON);
VectorScale(dir, scale, dir);
VectorCopy(dir, tw->trace.plane.normal);
VectorAdd(tw->modelOrigin, intersection, intersection);
tw->trace.plane.dist = DotProduct(tw->trace.plane.normal, intersection);
tw->trace.contents = CONTENTS_BODY;
}
}
/*
else if (d == 0)
{
//t1 = (- b ) / 2;
// slide along the sphere
}
*/
// no intersection at all
}
static void CM_TraceThroughLeaf( traceWork_t* tw, const cLeaf_t* leaf )
{
int k;
int brushnum;
cbrush_t *b;
cPatch_t *patch;
// trace line against all brushes in the leaf
for ( k = 0 ; k < leaf->numLeafBrushes ; k++ ) {
brushnum = cm.leafbrushes[leaf->firstLeafBrush+k];
b = &cm.brushes[brushnum];
if ( b->checkcount == cm.checkcount ) {
continue; // already checked this brush in another leaf
}
b->checkcount = cm.checkcount;
if ( !(b->contents & tw->contents) ) {
continue;
}
if (!CM_BoundsIntersect( tw->bounds[0], tw->bounds[1], b->bounds[0], b->bounds[1] ))
continue;
CM_TraceThroughBrush( tw, b );
if ( !tw->trace.fraction ) {
return;
}
}
// trace line against all patches in the leaf
#ifdef BSPC
if (1) {
#else
if ( !cm_noCurves->integer ) {
#endif
for ( k = 0 ; k < leaf->numLeafSurfaces ; k++ ) {
patch = cm.surfaces[ cm.leafsurfaces[ leaf->firstLeafSurface + k ] ];
if ( !patch ) {
continue;
}
if ( patch->checkcount == cm.checkcount ) {
continue; // already checked this patch in another leaf
}
patch->checkcount = cm.checkcount;
if ( !(patch->contents & tw->contents) ) {
continue;
}
CM_TraceThroughPatch( tw, patch );
if ( !tw->trace.fraction ) {
return;
}
}
}
}
#define RADIUS_EPSILON 1.0f
/*
================
CM_TraceThroughSphere
get the first intersection of the ray with the sphere
================
*/
void CM_TraceThroughSphere( traceWork_t *tw, vec3_t origin, float radius, vec3_t start, vec3_t end ) {
float l1, l2, length, scale, fraction;
float a, b, c, d, sqrtd;
vec3_t v1, dir, intersection;
// if inside the sphere
VectorSubtract(start, origin, dir);
l1 = VectorLengthSquared(dir);
if (l1 < Square(radius)) {
tw->trace.fraction = 0;
tw->trace.startsolid = qtrue;
// test for allsolid
VectorSubtract(end, origin, dir);
l1 = VectorLengthSquared(dir);
if (l1 < Square(radius)) {
tw->trace.allsolid = qtrue;
}
return;
}
//
VectorSubtract(end, start, dir);
length = VectorNormalize(dir);
//
l1 = CM_DistanceFromLineSquared(origin, start, end, dir);
VectorSubtract(end, origin, v1);
l2 = VectorLengthSquared(v1);
// if no intersection with the sphere and the end point is at least an epsilon away
if (l1 >= Square(radius) && l2 > Square(radius+SURFACE_CLIP_EPSILON)) {
return;
}
//
// | origin - (start + t * dir) | = radius
// a = dir[0]^2 + dir[1]^2 + dir[2]^2;
// b = 2 * (dir[0] * (start[0] - origin[0]) + dir[1] * (start[1] - origin[1]) + dir[2] * (start[2] - origin[2]));
// c = (start[0] - origin[0])^2 + (start[1] - origin[1])^2 + (start[2] - origin[2])^2 - radius^2;
//
VectorSubtract(start, origin, v1);
// dir is normalized so a = 1
a = 1.0f;//dir[0] * dir[0] + dir[1] * dir[1] + dir[2] * dir[2];
b = 2.0f * (dir[0] * v1[0] + dir[1] * v1[1] + dir[2] * v1[2]);
c = v1[0] * v1[0] + v1[1] * v1[1] + v1[2] * v1[2] - (radius+RADIUS_EPSILON) * (radius+RADIUS_EPSILON);
d = b * b - 4.0f * c;// * a;
if (d > 0) {
sqrtd = SquareRootFloat(d);
// = (- b + sqrtd) * 0.5f; // / (2.0f * a);
fraction = (- b - sqrtd) * 0.5f; // / (2.0f * a);
//
if (fraction < 0) {
fraction = 0;
}
else {
fraction /= length;
}
if ( fraction < tw->trace.fraction ) {
tw->trace.fraction = fraction;
VectorSubtract(end, start, dir);
VectorMA(start, fraction, dir, intersection);
VectorSubtract(intersection, origin, dir);
#ifdef CAPSULE_DEBUG
l2 = VectorLength(dir);
if (l2 < radius) {
int bah = 1;
}
#endif
scale = 1 / (radius+RADIUS_EPSILON);
VectorScale(dir, scale, dir);
VectorCopy(dir, tw->trace.plane.normal);
VectorAdd( tw->modelOrigin, intersection, intersection);
tw->trace.plane.dist = DotProduct(tw->trace.plane.normal, intersection);
tw->trace.contents = CONTENTS_BODY;
}
}
else if (d == 0) {
//t1 = (- b ) / 2;
// slide along the sphere
}
// no intersection at all
}
