diff options
author | sanine <sanine.not@pm.me> | 2022-10-01 20:59:36 -0500 |
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committer | sanine <sanine.not@pm.me> | 2022-10-01 20:59:36 -0500 |
commit | c5fc66ee58f2c60f2d226868bb1cf5b91badaf53 (patch) | |
tree | 277dd280daf10bf77013236b8edfa5f88708c7e0 /libs/ode-0.16.1/libccd/src/mpr.c | |
parent | 1cf9cc3408af7008451f9133fb95af66a9697d15 (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.c | 572 |
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, ¢er->v1); + ccd->center2(obj2, ¢er->v2); + ccdVec3Sub2(¢er->v, ¢er->v1, ¢er->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; +} |