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authorsanine <sanine.not@pm.me>2022-10-01 20:59:36 -0500
committersanine <sanine.not@pm.me>2022-10-01 20:59:36 -0500
commitc5fc66ee58f2c60f2d226868bb1cf5b91badaf53 (patch)
tree277dd280daf10bf77013236b8edfa5f88708c7e0 /libs/ode-0.16.1/libccd/src/mpr.c
parent1cf9cc3408af7008451f9133fb95af66a9697d15 (diff)
add ode
Diffstat (limited to 'libs/ode-0.16.1/libccd/src/mpr.c')
-rw-r--r--libs/ode-0.16.1/libccd/src/mpr.c572
1 files changed, 572 insertions, 0 deletions
diff --git a/libs/ode-0.16.1/libccd/src/mpr.c b/libs/ode-0.16.1/libccd/src/mpr.c
new file mode 100644
index 0000000..072a99b
--- /dev/null
+++ b/libs/ode-0.16.1/libccd/src/mpr.c
@@ -0,0 +1,572 @@
+/***
+ * libccd
+ * ---------------------------------
+ * Copyright (c)2010,2011 Daniel Fiser <danfis@danfis.cz>
+ *
+ *
+ * This file is part of libccd.
+ *
+ * Distributed under the OSI-approved BSD License (the "License");
+ * see accompanying file BDS-LICENSE for details or see
+ * <http://www.opensource.org/licenses/bsd-license.php>.
+ *
+ * This software is distributed WITHOUT ANY WARRANTY; without even the
+ * implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
+ * See the License for more information.
+ */
+
+#include <stdlib.h>
+#include <ccd/ccd.h>
+#include <ccdcustom/vec3.h>
+#include <ccd/simplex.h>
+#include <ccd/dbg.h>
+
+#ifdef HAVE_CONFIG_H
+#include "config.h"
+#endif
+
+/** Finds origin (center) of Minkowski difference (actually it can be any
+ * interior point of Minkowski difference. */
+_ccd_inline void findOrigin(const void *obj1, const void *obj2, const ccd_t *ccd,
+ ccd_support_t *center);
+
+/** Discovers initial portal - that is tetrahedron that intersects with
+ * origin ray (ray from center of Minkowski diff to (0,0,0).
+ *
+ * Returns -1 if already recognized that origin is outside Minkowski
+ * portal.
+ * Returns 1 if origin lies on v1 of simplex (only v0 and v1 are present
+ * in simplex).
+ * Returns 2 if origin lies on v0-v1 segment.
+ * Returns 0 if portal was built.
+ */
+static int discoverPortal(const void *obj1, const void *obj2,
+ const ccd_t *ccd, ccd_simplex_t *portal);
+
+
+/** Expands portal towards origin and determine if objects intersect.
+ * Already established portal must be given as argument.
+ * If intersection is found 0 is returned, -1 otherwise */
+static int refinePortal(const void *obj1, const void *obj2,
+ const ccd_t *ccd, ccd_simplex_t *portal);
+
+/** Finds penetration info by expanding provided portal. */
+static int findPenetr(const void *obj1, const void *obj2, const ccd_t *ccd,
+ ccd_simplex_t *portal,
+ ccd_real_t *depth, ccd_vec3_t *dir, ccd_vec3_t *pos);
+
+/** Finds penetration info if origin lies on portal's v1 */
+static void findPenetrTouch(const void *obj1, const void *obj2, const ccd_t *ccd,
+ ccd_simplex_t *portal,
+ ccd_real_t *depth, ccd_vec3_t *dir, ccd_vec3_t *pos);
+
+/** Find penetration info if origin lies on portal's segment v0-v1 */
+static int findPenetrSegment(const void *obj1, const void *obj2, const ccd_t *ccd,
+ ccd_simplex_t *portal,
+ ccd_real_t *depth, ccd_vec3_t *dir, ccd_vec3_t *pos);
+
+/** Finds position vector from fully established portal */
+static int findPos(const void *obj1, const void *obj2, const ccd_t *ccd,
+ const ccd_simplex_t *portal, ccd_vec3_t *pos);
+
+/** Extends portal with new support point.
+ * Portal must have face v1-v2-v3 arranged to face outside portal. */
+_ccd_inline void expandPortal(ccd_simplex_t *portal,
+ const ccd_support_t *v4);
+
+/** Fill dir with direction outside portal. Portal's v1-v2-v3 face must be
+ * arranged in correct order! */
+_ccd_inline int portalDir(const ccd_simplex_t *portal, ccd_vec3_t *dir);
+
+/** Returns true if portal encapsules origin (0,0,0), dir is direction of
+ * v1-v2-v3 face. */
+_ccd_inline int portalEncapsulesOrigin(const ccd_simplex_t *portal,
+ const ccd_vec3_t *dir);
+
+/** Returns true if portal with new point v4 would reach specified
+ * tolerance (i.e. returns true if portal can _not_ significantly expand
+ * within Minkowski difference).
+ *
+ * v4 is candidate for new point in portal, dir is direction in which v4
+ * was obtained. */
+_ccd_inline int portalReachTolerance(const ccd_simplex_t *portal,
+ const ccd_support_t *v4,
+ const ccd_vec3_t *dir,
+ const ccd_t *ccd);
+
+/** Returns true if portal expanded by new point v4 could possibly contain
+ * origin, dir is direction in which v4 was obtained. */
+_ccd_inline int portalCanEncapsuleOrigin(const ccd_simplex_t *portal,
+ const ccd_support_t *v4,
+ const ccd_vec3_t *dir);
+
+
+int ccdMPRIntersect(const void *obj1, const void *obj2, const ccd_t *ccd)
+{
+ ccd_simplex_t portal;
+ int res;
+
+ // Phase 1: Portal discovery - find portal that intersects with origin
+ // ray (ray from center of Minkowski diff to origin of coordinates)
+ res = discoverPortal(obj1, obj2, ccd, &portal);
+ if (res < 0)
+ return 0;
+ if (res > 0)
+ return 1;
+
+ // Phase 2: Portal refinement
+ res = refinePortal(obj1, obj2, ccd, &portal);
+ return (res == 0 ? 1 : 0);
+}
+
+int ccdMPRPenetration(const void *obj1, const void *obj2, const ccd_t *ccd,
+ ccd_real_t *depth, ccd_vec3_t *dir, ccd_vec3_t *pos)
+{
+ ccd_simplex_t portal;
+ int res;
+
+ // Phase 1: Portal discovery
+ res = discoverPortal(obj1, obj2, ccd, &portal);
+ if (res < 0){
+ // Origin isn't inside portal - no collision.
+ return -1;
+
+ }else if (res == 1){
+ // Touching contact on portal's v1.
+ findPenetrTouch(obj1, obj2, ccd, &portal, depth, dir, pos);
+
+ }else if (res == 2){
+ // Origin lies on v0-v1 segment.
+ if (findPenetrSegment(obj1, obj2, ccd, &portal, depth, dir, pos) != 0) {
+ return -1;
+ }
+
+ }else if (res == 0){
+ // Phase 2: Portal refinement
+ res = refinePortal(obj1, obj2, ccd, &portal);
+ if (res < 0) {
+ return -1;
+ }
+
+ // Phase 3. Penetration info
+ if (findPenetr(obj1, obj2, ccd, &portal, depth, dir, pos) != 0) {
+ return -1;
+ }
+ }
+
+ return 0;
+}
+
+
+
+_ccd_inline void findOrigin(const void *obj1, const void *obj2, const ccd_t *ccd,
+ ccd_support_t *center)
+{
+ ccd->center1(obj1, &center->v1);
+ ccd->center2(obj2, &center->v2);
+ ccdVec3Sub2(&center->v, &center->v1, &center->v2);
+}
+
+static int discoverPortal(const void *obj1, const void *obj2,
+ const ccd_t *ccd, ccd_simplex_t *portal)
+{
+ ccd_vec3_t dir, va, vb;
+ ccd_real_t dot;
+ int cont;
+
+ // vertex 0 is center of portal
+ findOrigin(obj1, obj2, ccd, ccdSimplexPointW(portal, 0));
+ ccdSimplexSetSize(portal, 1);
+
+ if (ccdVec3Eq(&ccdSimplexPoint(portal, 0)->v, ccd_vec3_origin)){
+ // Portal's center lies on origin (0,0,0) => we know that objects
+ // intersect but we would need to know penetration info.
+ // So move center little bit...
+ ccdVec3Set(&va, CCD_EPS * CCD_REAL(10.), CCD_ZERO, CCD_ZERO);
+ ccdVec3Add(&ccdSimplexPointW(portal, 0)->v, &va);
+ }
+
+
+ // vertex 1 = support in direction of origin
+ ccdVec3Copy(&dir, &ccdSimplexPoint(portal, 0)->v);
+ ccdVec3Scale(&dir, CCD_REAL(-1.));
+ if (ccdVec3SafeNormalize(&dir) != 0) {
+ return -1;
+ }
+ __ccdSupport(obj1, obj2, &dir, ccd, ccdSimplexPointW(portal, 1));
+ ccdSimplexSetSize(portal, 2);
+
+ // test if origin isn't outside of v1
+ dot = ccdVec3Dot(&ccdSimplexPoint(portal, 1)->v, &dir);
+ if (ccdIsZero(dot) || dot < CCD_ZERO)
+ return -1;
+
+
+ // vertex 2
+ ccdVec3Cross(&dir, &ccdSimplexPoint(portal, 0)->v,
+ &ccdSimplexPoint(portal, 1)->v);
+ if (ccdIsZero(ccdVec3Len2(&dir))){
+ if (ccdVec3Eq(&ccdSimplexPoint(portal, 1)->v, ccd_vec3_origin)){
+ // origin lies on v1
+ return 1;
+ }else{
+ // origin lies on v0-v1 segment
+ return 2;
+ }
+ }
+
+ if (ccdVec3SafeNormalize(&dir) != 0) {
+ return -1;
+ }
+ __ccdSupport(obj1, obj2, &dir, ccd, ccdSimplexPointW(portal, 2));
+ dot = ccdVec3Dot(&ccdSimplexPoint(portal, 2)->v, &dir);
+ if (ccdIsZero(dot) || dot < CCD_ZERO) {
+ return -1;
+ }
+
+ ccdSimplexSetSize(portal, 3);
+
+ // vertex 3 direction
+ ccdVec3Sub2(&va, &ccdSimplexPoint(portal, 1)->v,
+ &ccdSimplexPoint(portal, 0)->v);
+ ccdVec3Sub2(&vb, &ccdSimplexPoint(portal, 2)->v,
+ &ccdSimplexPoint(portal, 0)->v);
+ ccdVec3Cross(&dir, &va, &vb);
+ if (ccdVec3SafeNormalize(&dir) != 0) {
+ return -1;
+ }
+
+ // it is better to form portal faces to be oriented "outside" origin
+ dot = ccdVec3Dot(&dir, &ccdSimplexPoint(portal, 0)->v);
+ if (dot > CCD_ZERO){
+ ccdSimplexSwap(portal, 1, 2);
+ ccdVec3Scale(&dir, CCD_REAL(-1.));
+ }
+
+ while (ccdSimplexSize(portal) < 4){
+ __ccdSupport(obj1, obj2, &dir, ccd, ccdSimplexPointW(portal, 3));
+ dot = ccdVec3Dot(&ccdSimplexPoint(portal, 3)->v, &dir);
+ if (ccdIsZero(dot) || dot < CCD_ZERO) {
+ return -1;
+ }
+
+ cont = 0;
+
+ // test if origin is outside (v1, v0, v3) - set v2 as v3 and
+ // continue
+ ccdVec3Cross(&va, &ccdSimplexPoint(portal, 1)->v,
+ &ccdSimplexPoint(portal, 3)->v);
+ dot = ccdVec3Dot(&va, &ccdSimplexPoint(portal, 0)->v);
+ if (dot < CCD_ZERO && !ccdIsZero(dot)){
+ ccdSimplexSet(portal, 2, ccdSimplexPoint(portal, 3));
+ cont = 1;
+ }
+
+ if (!cont){
+ // test if origin is outside (v3, v0, v2) - set v1 as v3 and
+ // continue
+ ccdVec3Cross(&va, &ccdSimplexPoint(portal, 3)->v,
+ &ccdSimplexPoint(portal, 2)->v);
+ dot = ccdVec3Dot(&va, &ccdSimplexPoint(portal, 0)->v);
+ if (dot < CCD_ZERO && !ccdIsZero(dot)){
+ ccdSimplexSet(portal, 1, ccdSimplexPoint(portal, 3));
+ cont = 1;
+ }
+ }
+
+ if (cont){
+ ccdVec3Sub2(&va, &ccdSimplexPoint(portal, 1)->v,
+ &ccdSimplexPoint(portal, 0)->v);
+ ccdVec3Sub2(&vb, &ccdSimplexPoint(portal, 2)->v,
+ &ccdSimplexPoint(portal, 0)->v);
+ ccdVec3Cross(&dir, &va, &vb);
+ if (ccdVec3SafeNormalize(&dir) != 0) {
+ return -1;
+ }
+ }else{
+ ccdSimplexSetSize(portal, 4);
+ }
+ }
+
+ return 0;
+}
+
+static int refinePortal(const void *obj1, const void *obj2,
+ const ccd_t *ccd, ccd_simplex_t *portal)
+{
+ ccd_vec3_t dir;
+ ccd_support_t v4;
+
+ while (1){
+ // compute direction outside the portal (from v0 throught v1,v2,v3
+ // face)
+ if (portalDir(portal, &dir) != 0) {
+ return -1;
+ }
+
+ // test if origin is inside the portal
+ if (portalEncapsulesOrigin(portal, &dir))
+ return 0;
+
+ // get next support point
+ __ccdSupport(obj1, obj2, &dir, ccd, &v4);
+
+ // test if v4 can expand portal to contain origin and if portal
+ // expanding doesn't reach given tolerance
+ if (!portalCanEncapsuleOrigin(portal, &v4, &dir)
+ || portalReachTolerance(portal, &v4, &dir, ccd)){
+ return -1;
+ }
+
+ // v1-v2-v3 triangle must be rearranged to face outside Minkowski
+ // difference (direction from v0).
+ expandPortal(portal, &v4);
+ }
+
+ return -1;
+}
+
+
+static int findPenetr(const void *obj1, const void *obj2, const ccd_t *ccd,
+ ccd_simplex_t *portal,
+ ccd_real_t *depth, ccd_vec3_t *pdir, ccd_vec3_t *pos)
+{
+ ccd_vec3_t dir;
+ ccd_support_t v4;
+ unsigned long iterations;
+
+ iterations = 0UL;
+ while (1){
+ // compute portal direction and obtain next support point
+ if (portalDir(portal, &dir) != 0) {
+ return -1;
+ }
+
+ __ccdSupport(obj1, obj2, &dir, ccd, &v4);
+
+ // reached tolerance -> find penetration info
+ if (portalReachTolerance(portal, &v4, &dir, ccd)
+ || iterations > ccd->max_iterations){
+ *depth = ccdVec3PointTriDist2(ccd_vec3_origin,
+ &ccdSimplexPoint(portal, 1)->v,
+ &ccdSimplexPoint(portal, 2)->v,
+ &ccdSimplexPoint(portal, 3)->v,
+ pdir);
+ *depth = CCD_SQRT(*depth);
+ if (ccdVec3SafeNormalize(pdir) != 0) {
+ return -1;
+ }
+
+ // barycentric coordinates:
+ if (findPos(obj1, obj2, ccd, portal, pos) != 0) {
+ return -1;
+ }
+
+ return 0;
+ }
+
+ expandPortal(portal, &v4);
+
+ iterations++;
+ }
+}
+
+static void findPenetrTouch(const void *obj1, const void *obj2, const ccd_t *ccd,
+ ccd_simplex_t *portal,
+ ccd_real_t *depth, ccd_vec3_t *dir, ccd_vec3_t *pos)
+{
+ // Touching contact on portal's v1 - so depth is zero and direction
+ // is unimportant and pos can be guessed
+ *depth = CCD_REAL(0.);
+ ccdVec3Copy(dir, ccd_vec3_origin);
+
+ ccdVec3Copy(pos, &ccdSimplexPoint(portal, 1)->v1);
+ ccdVec3Add(pos, &ccdSimplexPoint(portal, 1)->v2);
+ ccdVec3Scale(pos, 0.5);
+}
+
+static int findPenetrSegment(const void *obj1, const void *obj2, const ccd_t *ccd,
+ ccd_simplex_t *portal,
+ ccd_real_t *depth, ccd_vec3_t *dir, ccd_vec3_t *pos)
+{
+ /*
+ ccd_vec3_t vec;
+ ccd_real_t k;
+ */
+
+ // Origin lies on v0-v1 segment.
+ // Depth is distance to v1, direction also and position must be
+ // computed
+
+ ccdVec3Copy(pos, &ccdSimplexPoint(portal, 1)->v1);
+ ccdVec3Add(pos, &ccdSimplexPoint(portal, 1)->v2);
+ ccdVec3Scale(pos, CCD_REAL(0.5));
+
+ /*
+ ccdVec3Sub2(&vec, &ccdSimplexPoint(portal, 1)->v,
+ &ccdSimplexPoint(portal, 0)->v);
+ k = CCD_SQRT(ccdVec3Len2(&ccdSimplexPoint(portal, 0)->v));
+ k /= CCD_SQRT(ccdVec3Len2(&vec));
+ ccdVec3Scale(&vec, -k);
+ ccdVec3Add(pos, &vec);
+ */
+
+ ccdVec3Copy(dir, &ccdSimplexPoint(portal, 1)->v);
+ *depth = CCD_SQRT(ccdVec3Len2(dir));
+ if (ccdVec3SafeNormalize(dir) != 0) {
+ return -1;
+ }
+ return 0;
+}
+
+
+static int findPos(const void *obj1, const void *obj2, const ccd_t *ccd,
+ const ccd_simplex_t *portal, ccd_vec3_t *pos)
+{
+ ccd_vec3_t dir;
+ size_t i;
+ ccd_real_t b[4], sum, inv;
+ ccd_vec3_t vec, p1, p2;
+
+ if (portalDir(portal, &dir) != 0) {
+ return -1;
+ }
+
+ // use barycentric coordinates of tetrahedron to find origin
+ ccdVec3Cross(&vec, &ccdSimplexPoint(portal, 1)->v,
+ &ccdSimplexPoint(portal, 2)->v);
+ b[0] = ccdVec3Dot(&vec, &ccdSimplexPoint(portal, 3)->v);
+
+ ccdVec3Cross(&vec, &ccdSimplexPoint(portal, 3)->v,
+ &ccdSimplexPoint(portal, 2)->v);
+ b[1] = ccdVec3Dot(&vec, &ccdSimplexPoint(portal, 0)->v);
+
+ ccdVec3Cross(&vec, &ccdSimplexPoint(portal, 0)->v,
+ &ccdSimplexPoint(portal, 1)->v);
+ b[2] = ccdVec3Dot(&vec, &ccdSimplexPoint(portal, 3)->v);
+
+ ccdVec3Cross(&vec, &ccdSimplexPoint(portal, 2)->v,
+ &ccdSimplexPoint(portal, 1)->v);
+ b[3] = ccdVec3Dot(&vec, &ccdSimplexPoint(portal, 0)->v);
+
+ sum = b[0] + b[1] + b[2] + b[3];
+
+ if (ccdIsZero(sum) || sum < CCD_ZERO){
+ b[0] = CCD_REAL(0.);
+
+ ccdVec3Cross(&vec, &ccdSimplexPoint(portal, 2)->v,
+ &ccdSimplexPoint(portal, 3)->v);
+ b[1] = ccdVec3Dot(&vec, &dir);
+ ccdVec3Cross(&vec, &ccdSimplexPoint(portal, 3)->v,
+ &ccdSimplexPoint(portal, 1)->v);
+ b[2] = ccdVec3Dot(&vec, &dir);
+ ccdVec3Cross(&vec, &ccdSimplexPoint(portal, 1)->v,
+ &ccdSimplexPoint(portal, 2)->v);
+ b[3] = ccdVec3Dot(&vec, &dir);
+
+ sum = b[1] + b[2] + b[3];
+ }
+
+ inv = CCD_REAL(1.) / sum;
+
+ ccdVec3Copy(&p1, ccd_vec3_origin);
+ ccdVec3Copy(&p2, ccd_vec3_origin);
+ for (i = 0; i < 4; i++){
+ ccdVec3Copy(&vec, &ccdSimplexPoint(portal, i)->v1);
+ ccdVec3Scale(&vec, b[i]);
+ ccdVec3Add(&p1, &vec);
+
+ ccdVec3Copy(&vec, &ccdSimplexPoint(portal, i)->v2);
+ ccdVec3Scale(&vec, b[i]);
+ ccdVec3Add(&p2, &vec);
+ }
+ ccdVec3Scale(&p1, inv);
+ ccdVec3Scale(&p2, inv);
+
+ ccdVec3Copy(pos, &p1);
+ ccdVec3Add(pos, &p2);
+ ccdVec3Scale(pos, 0.5);
+ return 0;
+}
+
+_ccd_inline void expandPortal(ccd_simplex_t *portal,
+ const ccd_support_t *v4)
+{
+ ccd_real_t dot;
+ ccd_vec3_t v4v0;
+
+ ccdVec3Cross(&v4v0, &v4->v, &ccdSimplexPoint(portal, 0)->v);
+ dot = ccdVec3Dot(&ccdSimplexPoint(portal, 1)->v, &v4v0);
+ if (dot > CCD_ZERO){
+ dot = ccdVec3Dot(&ccdSimplexPoint(portal, 2)->v, &v4v0);
+ if (dot > CCD_ZERO){
+ ccdSimplexSet(portal, 1, v4);
+ }else{
+ ccdSimplexSet(portal, 3, v4);
+ }
+ }else{
+ dot = ccdVec3Dot(&ccdSimplexPoint(portal, 3)->v, &v4v0);
+ if (dot > CCD_ZERO){
+ ccdSimplexSet(portal, 2, v4);
+ }else{
+ ccdSimplexSet(portal, 1, v4);
+ }
+ }
+}
+
+_ccd_inline int portalDir(const ccd_simplex_t *portal, ccd_vec3_t *dir)
+{
+ ccd_vec3_t v2v1, v3v1;
+
+ ccdVec3Sub2(&v2v1, &ccdSimplexPoint(portal, 2)->v,
+ &ccdSimplexPoint(portal, 1)->v);
+ ccdVec3Sub2(&v3v1, &ccdSimplexPoint(portal, 3)->v,
+ &ccdSimplexPoint(portal, 1)->v);
+ ccdVec3Cross(dir, &v2v1, &v3v1);
+ if (ccdVec3SafeNormalize(dir) != 0) {
+ return -1;
+ }
+ return 0;
+}
+
+_ccd_inline int portalEncapsulesOrigin(const ccd_simplex_t *portal,
+ const ccd_vec3_t *dir)
+{
+ ccd_real_t dot;
+ dot = ccdVec3Dot(dir, &ccdSimplexPoint(portal, 1)->v);
+ return ccdIsZero(dot) || dot > CCD_ZERO;
+}
+
+_ccd_inline int portalReachTolerance(const ccd_simplex_t *portal,
+ const ccd_support_t *v4,
+ const ccd_vec3_t *dir,
+ const ccd_t *ccd)
+{
+ ccd_real_t dv1, dv2, dv3, dv4;
+ ccd_real_t dot1, dot2, dot3;
+
+ // find the smallest dot product of dir and {v1-v4, v2-v4, v3-v4}
+
+ dv1 = ccdVec3Dot(&ccdSimplexPoint(portal, 1)->v, dir);
+ dv2 = ccdVec3Dot(&ccdSimplexPoint(portal, 2)->v, dir);
+ dv3 = ccdVec3Dot(&ccdSimplexPoint(portal, 3)->v, dir);
+ dv4 = ccdVec3Dot(&v4->v, dir);
+
+ dot1 = dv4 - dv1;
+ dot2 = dv4 - dv2;
+ dot3 = dv4 - dv3;
+
+ dot1 = CCD_FMIN(dot1, dot2);
+ dot1 = CCD_FMIN(dot1, dot3);
+
+ return ccdEq(dot1, ccd->mpr_tolerance) || dot1 < ccd->mpr_tolerance;
+}
+
+_ccd_inline int portalCanEncapsuleOrigin(const ccd_simplex_t *portal,
+ const ccd_support_t *v4,
+ const ccd_vec3_t *dir)
+{
+ ccd_real_t dot;
+ dot = ccdVec3Dot(&v4->v, dir);
+ return ccdIsZero(dot) || dot > CCD_ZERO;
+}