tornavis/source/blender/blenkernel/intern/bvhutils.c

688 lines
14 KiB
C

/**
*
* $Id$
*
* ***** BEGIN GPL LICENSE BLOCK *****
*
* This program 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 2
* of the License, or (at your option) any later version.
*
* This program 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 this program; if not, write to the Free Software Foundation,
* Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*
* The Original Code is Copyright (C) Blender Foundation.
* All rights reserved.
*
* The Original Code is: all of this file.
*
* Contributor(s): André Pinto.
*
* ***** END GPL LICENSE BLOCK *****
*/
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <assert.h>
#include "BKE_bvhutils.h"
#include "DNA_object_types.h"
#include "DNA_modifier_types.h"
#include "DNA_meshdata_types.h"
#include "BKE_DerivedMesh.h"
#include "BKE_utildefines.h"
#include "BKE_deform.h"
#include "BKE_cdderivedmesh.h"
#include "BKE_displist.h"
#include "BKE_global.h"
#include "BLI_arithb.h"
#include "BLI_linklist.h"
#include "MEM_guardedalloc.h"
/* Math stuff for ray casting on mesh faces and for nearest surface */
static float ray_tri_intersection(const BVHTreeRay *ray, const float m_dist, const float *v0, const float *v1, const float *v2)
{
float dist;
if(RayIntersectsTriangle((float*)ray->origin, (float*)ray->direction, (float*)v0, (float*)v1, (float*)v2, &dist, NULL))
return dist;
return FLT_MAX;
}
static float sphereray_tri_intersection(const BVHTreeRay *ray, float radius, const float m_dist, const float *v0, const float *v1, const float *v2)
{
float idist;
float p1[3];
float plane_normal[3], hit_point[3];
CalcNormFloat((float*)v0, (float*)v1, (float*)v2, plane_normal);
VECADDFAC( p1, ray->origin, ray->direction, m_dist);
if(SweepingSphereIntersectsTriangleUV((float*)ray->origin, p1, radius, (float*)v0, (float*)v1, (float*)v2, &idist, hit_point))
{
return idist * m_dist;
}
return FLT_MAX;
}
/*
* Function adapted from David Eberly's distance tools (LGPL)
* http://www.geometrictools.com/LibFoundation/Distance/Distance.html
*/
static float nearest_point_in_tri_surface(const float *v0,const float *v1,const float *v2,const float *p, int *v, int *e, float *nearest )
{
float diff[3];
float e0[3];
float e1[3];
float A00;
float A01;
float A11;
float B0;
float B1;
float C;
float Det;
float S;
float T;
float sqrDist;
int lv = -1, le = -1;
VECSUB(diff, v0, p);
VECSUB(e0, v1, v0);
VECSUB(e1, v2, v0);
A00 = INPR ( e0, e0 );
A01 = INPR( e0, e1 );
A11 = INPR ( e1, e1 );
B0 = INPR( diff, e0 );
B1 = INPR( diff, e1 );
C = INPR( diff, diff );
Det = fabs( A00 * A11 - A01 * A01 );
S = A01 * B1 - A11 * B0;
T = A01 * B0 - A00 * B1;
if ( S + T <= Det )
{
if ( S < 0.0f )
{
if ( T < 0.0f ) // Region 4
{
if ( B0 < 0.0f )
{
T = 0.0f;
if ( -B0 >= A00 )
{
S = (float)1.0;
sqrDist = A00 + 2.0f * B0 + C;
lv = 1;
}
else
{
if(fabs(A00) > FLT_EPSILON)
S = -B0/A00;
else
S = 0.0f;
sqrDist = B0 * S + C;
le = 0;
}
}
else
{
S = 0.0f;
if ( B1 >= 0.0f )
{
T = 0.0f;
sqrDist = C;
lv = 0;
}
else if ( -B1 >= A11 )
{
T = 1.0f;
sqrDist = A11 + 2.0f * B1 + C;
lv = 2;
}
else
{
if(fabs(A11) > FLT_EPSILON)
T = -B1 / A11;
else
T = 0.0f;
sqrDist = B1 * T + C;
le = 1;
}
}
}
else // Region 3
{
S = 0.0f;
if ( B1 >= 0.0f )
{
T = 0.0f;
sqrDist = C;
lv = 0;
}
else if ( -B1 >= A11 )
{
T = 1.0f;
sqrDist = A11 + 2.0f * B1 + C;
lv = 2;
}
else
{
if(fabs(A11) > FLT_EPSILON)
T = -B1 / A11;
else
T = 0.0;
sqrDist = B1 * T + C;
le = 1;
}
}
}
else if ( T < 0.0f ) // Region 5
{
T = 0.0f;
if ( B0 >= 0.0f )
{
S = 0.0f;
sqrDist = C;
lv = 0;
}
else if ( -B0 >= A00 )
{
S = 1.0f;
sqrDist = A00 + 2.0f * B0 + C;
lv = 1;
}
else
{
if(fabs(A00) > FLT_EPSILON)
S = -B0 / A00;
else
S = 0.0f;
sqrDist = B0 * S + C;
le = 0;
}
}
else // Region 0
{
// Minimum at interior lv
float invDet;
if(fabs(Det) > FLT_EPSILON)
invDet = 1.0f / Det;
else
invDet = 0.0f;
S *= invDet;
T *= invDet;
sqrDist = S * ( A00 * S + A01 * T + 2.0f * B0) +
T * ( A01 * S + A11 * T + 2.0f * B1 ) + C;
}
}
else
{
float tmp0, tmp1, numer, denom;
if ( S < 0.0f ) // Region 2
{
tmp0 = A01 + B0;
tmp1 = A11 + B1;
if ( tmp1 > tmp0 )
{
numer = tmp1 - tmp0;
denom = A00 - 2.0f * A01 + A11;
if ( numer >= denom )
{
S = 1.0f;
T = 0.0f;
sqrDist = A00 + 2.0f * B0 + C;
lv = 1;
}
else
{
if(fabs(denom) > FLT_EPSILON)
S = numer / denom;
else
S = 0.0f;
T = 1.0f - S;
sqrDist = S * ( A00 * S + A01 * T + 2.0f * B0 ) +
T * ( A01 * S + A11 * T + 2.0f * B1 ) + C;
le = 2;
}
}
else
{
S = 0.0f;
if ( tmp1 <= 0.0f )
{
T = 1.0f;
sqrDist = A11 + 2.0f * B1 + C;
lv = 2;
}
else if ( B1 >= 0.0f )
{
T = 0.0f;
sqrDist = C;
lv = 0;
}
else
{
if(fabs(A11) > FLT_EPSILON)
T = -B1 / A11;
else
T = 0.0f;
sqrDist = B1 * T + C;
le = 1;
}
}
}
else if ( T < 0.0f ) // Region 6
{
tmp0 = A01 + B1;
tmp1 = A00 + B0;
if ( tmp1 > tmp0 )
{
numer = tmp1 - tmp0;
denom = A00 - 2.0f * A01 + A11;
if ( numer >= denom )
{
T = 1.0f;
S = 0.0f;
sqrDist = A11 + 2.0f * B1 + C;
lv = 2;
}
else
{
if(fabs(denom) > FLT_EPSILON)
T = numer / denom;
else
T = 0.0f;
S = 1.0f - T;
sqrDist = S * ( A00 * S + A01 * T + 2.0f * B0 ) +
T * ( A01 * S + A11 * T + 2.0f * B1 ) + C;
le = 2;
}
}
else
{
T = 0.0f;
if ( tmp1 <= 0.0f )
{
S = 1.0f;
sqrDist = A00 + 2.0f * B0 + C;
lv = 1;
}
else if ( B0 >= 0.0f )
{
S = 0.0f;
sqrDist = C;
lv = 0;
}
else
{
if(fabs(A00) > FLT_EPSILON)
S = -B0 / A00;
else
S = 0.0f;
sqrDist = B0 * S + C;
le = 0;
}
}
}
else // Region 1
{
numer = A11 + B1 - A01 - B0;
if ( numer <= 0.0f )
{
S = 0.0f;
T = 1.0f;
sqrDist = A11 + 2.0f * B1 + C;
lv = 2;
}
else
{
denom = A00 - 2.0f * A01 + A11;
if ( numer >= denom )
{
S = 1.0f;
T = 0.0f;
sqrDist = A00 + 2.0f * B0 + C;
lv = 1;
}
else
{
if(fabs(denom) > FLT_EPSILON)
S = numer / denom;
else
S = 0.0f;
T = 1.0f - S;
sqrDist = S * ( A00 * S + A01 * T + 2.0f * B0 ) +
T * ( A01 * S + A11 * T + 2.0f * B1 ) + C;
le = 2;
}
}
}
}
// Account for numerical round-off error
if ( sqrDist < FLT_EPSILON )
sqrDist = 0.0f;
{
float w[3], x[3], y[3], z[3];
VECCOPY(w, v0);
VECCOPY(x, e0);
VecMulf(x, S);
VECCOPY(y, e1);
VecMulf(y, T);
VECADD(z, w, x);
VECADD(z, z, y);
//VECSUB(d, p, z);
VECCOPY(nearest, z);
// d = p - ( v0 + S * e0 + T * e1 );
}
*v = lv;
*e = le;
return sqrDist;
}
/*
* BVH from meshs callbacks
*/
// Callback to bvh tree nearest point. The tree must bust have been built using bvhtree_from_mesh_faces.
// userdata must be a BVHMeshCallbackUserdata built from the same mesh as the tree.
static void mesh_faces_nearest_point(void *userdata, int index, const float *co, BVHTreeNearest *nearest)
{
const BVHTreeFromMesh *data = (BVHTreeFromMesh*) userdata;
MVert *vert = data->vert;
MFace *face = data->face + index;
float *t0, *t1, *t2, *t3;
t0 = vert[ face->v1 ].co;
t1 = vert[ face->v2 ].co;
t2 = vert[ face->v3 ].co;
t3 = face->v4 ? vert[ face->v4].co : NULL;
do
{
float nearest_tmp[3], dist;
int vertex, edge;
dist = nearest_point_in_tri_surface(t0, t1, t2, co, &vertex, &edge, nearest_tmp);
if(dist < nearest->dist)
{
nearest->index = index;
nearest->dist = dist;
VECCOPY(nearest->co, nearest_tmp);
CalcNormFloat(t0, t1, t2, nearest->no);
}
t1 = t2;
t2 = t3;
t3 = NULL;
} while(t2);
}
// Callback to bvh tree raycast. The tree must bust have been built using bvhtree_from_mesh_faces.
// userdata must be a BVHMeshCallbackUserdata built from the same mesh as the tree.
static void mesh_faces_spherecast(void *userdata, int index, const BVHTreeRay *ray, BVHTreeRayHit *hit)
{
const BVHTreeFromMesh *data = (BVHTreeFromMesh*) userdata;
MVert *vert = data->vert;
MFace *face = data->face + index;
float *t0, *t1, *t2, *t3;
t0 = vert[ face->v1 ].co;
t1 = vert[ face->v2 ].co;
t2 = vert[ face->v3 ].co;
t3 = face->v4 ? vert[ face->v4].co : NULL;
do
{
float dist;
if(data->sphere_radius == 0.0f)
dist = ray_tri_intersection(ray, hit->dist, t0, t1, t2);
else
dist = sphereray_tri_intersection(ray, data->sphere_radius, hit->dist, t0, t1, t2);
if(dist >= 0 && dist < hit->dist)
{
hit->index = index;
hit->dist = dist;
VECADDFAC(hit->co, ray->origin, ray->direction, dist);
CalcNormFloat(t0, t1, t2, hit->no);
}
t1 = t2;
t2 = t3;
t3 = NULL;
} while(t2);
}
/*
* BVH builders
*/
// Builds a bvh tree.. where nodes are the vertexs of the given mesh
BVHTree* bvhtree_from_mesh_verts(BVHTreeFromMesh *data, DerivedMesh *mesh, float epsilon, int tree_type, int axis)
{
BVHTree *tree = bvhcache_find(&mesh->bvhCache, BVHTREE_FROM_VERTICES);
//Not in cache
if(tree == NULL)
{
int i;
int numVerts= mesh->getNumVerts(mesh);
MVert *vert = mesh->getVertDataArray(mesh, CD_MVERT);
if(vert != NULL)
{
tree = BLI_bvhtree_new(numVerts, epsilon, tree_type, axis);
if(tree != NULL)
{
for(i = 0; i < numVerts; i++)
BLI_bvhtree_insert(tree, i, vert[i].co, 1);
BLI_bvhtree_balance(tree);
//Save on cache for later use
// printf("BVHTree built and saved on cache\n");
bvhcache_insert(&mesh->bvhCache, tree, BVHTREE_FROM_VERTICES);
}
}
}
else
{
// printf("BVHTree is already build, using cached tree\n");
}
//Setup BVHTreeFromMesh
memset(data, 0, sizeof(*data));
data->tree = tree;
if(data->tree)
{
data->cached = TRUE;
//a NULL nearest callback works fine
//remeber the min distance to point is the same as the min distance to BV of point
data->nearest_callback = NULL;
data->raycast_callback = NULL;
data->mesh = mesh;
data->vert = mesh->getVertDataArray(mesh, CD_MVERT);
data->face = mesh->getFaceDataArray(mesh, CD_MFACE);
data->sphere_radius = epsilon;
}
return data->tree;
}
// Builds a bvh tree.. where nodes are the faces of the given mesh.
BVHTree* bvhtree_from_mesh_faces(BVHTreeFromMesh *data, DerivedMesh *mesh, float epsilon, int tree_type, int axis)
{
BVHTree *tree = bvhcache_find(&mesh->bvhCache, BVHTREE_FROM_FACES);
//Not in cache
if(tree == NULL)
{
int i;
int numFaces= mesh->getNumFaces(mesh);
MVert *vert = mesh->getVertDataArray(mesh, CD_MVERT);
MFace *face = mesh->getFaceDataArray(mesh, CD_MFACE);
if(vert != NULL && face != NULL)
{
/* Create a bvh-tree of the given target */
tree = BLI_bvhtree_new(numFaces, epsilon, tree_type, axis);
if(tree != NULL)
{
for(i = 0; i < numFaces; i++)
{
float co[4][3];
VECCOPY(co[0], vert[ face[i].v1 ].co);
VECCOPY(co[1], vert[ face[i].v2 ].co);
VECCOPY(co[2], vert[ face[i].v3 ].co);
if(face[i].v4)
VECCOPY(co[3], vert[ face[i].v4 ].co);
BLI_bvhtree_insert(tree, i, co[0], face[i].v4 ? 4 : 3);
}
BLI_bvhtree_balance(tree);
//Save on cache for later use
// printf("BVHTree built and saved on cache\n");
bvhcache_insert(&mesh->bvhCache, tree, BVHTREE_FROM_FACES);
}
}
}
else
{
// printf("BVHTree is already build, using cached tree\n");
}
//Setup BVHTreeFromMesh
memset(data, 0, sizeof(*data));
data->tree = tree;
if(data->tree)
{
data->cached = TRUE;
data->nearest_callback = mesh_faces_nearest_point;
data->raycast_callback = mesh_faces_spherecast;
data->mesh = mesh;
data->vert = mesh->getVertDataArray(mesh, CD_MVERT);
data->face = mesh->getFaceDataArray(mesh, CD_MFACE);
data->sphere_radius = epsilon;
}
return data->tree;
}
// Frees data allocated by a call to bvhtree_from_mesh_*.
void free_bvhtree_from_mesh(struct BVHTreeFromMesh *data)
{
if(data->tree)
{
if(!data->cached)
BLI_bvhtree_free(data->tree);
memset( data, 0, sizeof(data) );
}
}
/* BVHCache */
typedef struct BVHCacheItem
{
int type;
BVHTree *tree;
} BVHCacheItem;
static void bvhcacheitem_set_if_match(void *_cached, void *_search)
{
BVHCacheItem * cached = (BVHCacheItem *)_cached;
BVHCacheItem * search = (BVHCacheItem *)_search;
if(search->type == cached->type)
{
search->tree = cached->tree;
}
}
BVHTree *bvhcache_find(BVHCache *cache, int type)
{
BVHCacheItem item;
item.type = type;
item.tree = NULL;
BLI_linklist_apply(*cache, bvhcacheitem_set_if_match, &item);
return item.tree;
}
void bvhcache_insert(BVHCache *cache, BVHTree *tree, int type)
{
BVHCacheItem *item = NULL;
assert( tree != NULL );
assert( bvhcache_find(cache, type) == NULL );
item = MEM_mallocN(sizeof(BVHCacheItem), "BVHCacheItem");
assert( item != NULL );
item->type = type;
item->tree = tree;
BLI_linklist_prepend( cache, item );
}
void bvhcache_init(BVHCache *cache)
{
*cache = NULL;
}
static void bvhcacheitem_free(void *_item)
{
BVHCacheItem *item = (BVHCacheItem *)_item;
BLI_bvhtree_free(item->tree);
MEM_freeN(item);
}
void bvhcache_free(BVHCache *cache)
{
BLI_linklist_free(*cache, (LinkNodeFreeFP)bvhcacheitem_free);
*cache = NULL;
}