X-Git-Url: https://harrygodden.com/git/?a=blobdiff_plain;f=rigidbody.h;h=7f7187daf7aab46e9fc353032b956a42043f6cb5;hb=b4c9550f206c476bb38b0bb2855d35e6b31bee83;hp=b140cbb724068c8c65e3b1f6465afd344d9225ea;hpb=344f0153cf1907da87dd041db3ec517325b1c429;p=carveJwlIkooP6JGAAIwe30JlM.git diff --git a/rigidbody.h b/rigidbody.h index b140cbb..7f7187d 100644 --- a/rigidbody.h +++ b/rigidbody.h @@ -5,6 +5,7 @@ #include "common.h" #include "bvh.h" +#include "scene.h" static void rb_tangent_basis( v3f n, v3f tx, v3f ty ); static bh_system bh_system_rigidbodies; @@ -12,7 +13,7 @@ static bh_system bh_system_rigidbodies; #ifndef RIGIDBODY_H #define RIGIDBODY_H -#define RB_DEPR +//#define RB_DEPR #define k_rb_rate 60.0f #define k_rb_delta (1.0f/k_rb_rate) @@ -26,9 +27,10 @@ struct rigidbody enum rb_shape { - k_rb_shape_box, - k_rb_shape_sphere, - k_rb_shape_capsule + k_rb_shape_box = 0, + k_rb_shape_sphere = 1, + k_rb_shape_capsule = 2, + k_rb_shape_scene = 3 } type; @@ -45,6 +47,12 @@ struct rigidbody float height, radius; } capsule; + + struct rb_scene + { + scene *pscene; + } + scene; } inf; @@ -55,10 +63,17 @@ struct rigidbody boxf bbx, bbx_world; float inv_mass; - v3f delta; /* where is the origin of this in relation to a parent body */ + /* inertia model and inverse world tensor */ + v3f I; + m3x3f iI, iIw; + m4x3f to_world, to_local; }; +#ifdef RB_DEPR +/* + * Impulses on static objects get re-routed here + */ static rigidbody rb_static_null = { .co={0.0f,0.0f,0.0f}, @@ -68,6 +83,7 @@ static rigidbody rb_static_null = .is_world = 1, .inv_mass = 0.0f }; +#endif static void rb_debug( rigidbody *rb, u32 colour ); @@ -76,11 +92,20 @@ static struct contact rigidbody *rba, *rbb; v3f co, n; v3f t[2]; - float mass_total, p, bias, norm_impulse, tangent_impulse[2]; + float p, bias, norm_impulse, tangent_impulse[2], + normal_mass, tangent_mass[2]; + + u32 element_id; } rb_contact_buffer[256]; static int rb_contact_count = 0; +static void rb_update_bounds( rigidbody *rb ) +{ + box_copy( rb->bbx, rb->bbx_world ); + m4x3_transform_aabb( rb->to_world, rb->bbx_world ); +} + static void rb_update_transform( rigidbody *rb ) { q_normalize( rb->q ); @@ -89,12 +114,14 @@ static void rb_update_transform( rigidbody *rb ) m4x3_invert_affine( rb->to_world, rb->to_local ); - box_copy( rb->bbx, rb->bbx_world ); - m4x3_transform_aabb( rb->to_world, rb->bbx_world ); - m3x3_mulv( rb->to_world, (v3f){1.0f,0.0f, 0.0f}, rb->right ); m3x3_mulv( rb->to_world, (v3f){0.0f,1.0f, 0.0f}, rb->up ); m3x3_mulv( rb->to_world, (v3f){0.0f,0.0f,-1.0f}, rb->forward ); + + m3x3_mul( rb->iI, rb->to_local, rb->iIw ); + m3x3_mul( rb->to_world, rb->iIw, rb->iIw ); + + rb_update_bounds( rb ); } static float sphere_volume( float radius ) @@ -112,12 +139,17 @@ static void rb_init( rigidbody *rb ) v3f dims; v3_sub( rb->bbx[1], rb->bbx[0], dims ); volume = dims[0]*dims[1]*dims[2]; + + if( !rb->is_world ) + vg_info( "Box volume: %f\n", volume ); } else if( rb->type == k_rb_shape_sphere ) { volume = sphere_volume( rb->inf.sphere.radius ); v3_fill( rb->bbx[0], -rb->inf.sphere.radius ); v3_fill( rb->bbx[1], rb->inf.sphere.radius ); + + vg_info( "Sphere volume: %f\n", volume ); } else if( rb->type == k_rb_shape_capsule ) { @@ -130,14 +162,42 @@ static void rb_init( rigidbody *rb ) rb->bbx[0][1] = -h; rb->bbx[1][1] = h; } + else if( rb->type == k_rb_shape_scene ) + { + rb->is_world = 1; + box_copy( rb->inf.scene.pscene->bbx, rb->bbx ); + } if( rb->is_world ) { rb->inv_mass = 0.0f; + v3_zero( rb->I ); + m3x3_zero(rb->iI); } else { - rb->inv_mass = 1.0f/(8.0f*volume); + float mass = 2.0f*volume; + rb->inv_mass = 1.0f/mass; + + v3f extent; + v3_sub( rb->bbx[1], rb->bbx[0], extent ); + v3_muls( extent, 0.5f, extent ); + + /* local intertia tensor */ + float scale = 4.0f; + float ex2 = scale*extent[0]*extent[0], + ey2 = scale*extent[1]*extent[1], + ez2 = scale*extent[2]*extent[2]; + + rb->I[0] = ((1.0f/12.0f) * mass * (ey2+ez2)); + rb->I[1] = ((1.0f/12.0f) * mass * (ex2+ez2)); + rb->I[2] = ((1.0f/12.0f) * mass * (ex2+ey2)); + + m3x3_identity( rb->iI ); + rb->iI[0][0] = rb->I[0]; + rb->iI[1][1] = rb->I[1]; + rb->iI[2][2] = rb->I[2]; + m3x3_inv( rb->iI, rb->iI ); } v3_zero( rb->v ); @@ -148,7 +208,7 @@ static void rb_init( rigidbody *rb ) static void rb_iter( rigidbody *rb ) { - v3f gravity = { 0.0f, -9.6f, 0.0f }; + v3f gravity = { 0.0f, -9.8f, 0.0f }; v3_muladds( rb->v, gravity, k_rb_delta, rb->v ); /* intergrate velocity */ @@ -195,8 +255,10 @@ static void rb_tangent_basis( v3f n, v3f tx, v3f ty ) } static void rb_solver_reset(void); +#ifdef RB_DEPR static void rb_build_manifold_terrain( rigidbody *rb ); static void rb_build_manifold_terrain_sphere( rigidbody *rb ); +#endif static void rb_solve_contacts( rb_ct *buf, int len ); static void rb_presolve_contacts( rb_ct *buffer, int len ); @@ -396,6 +458,136 @@ static void closest_on_triangle( v3f p, v3f tri[3], v3f dest ) v3_muladds( dest, ac, w, dest ); } +/* TODO */ +static void closest_on_triangle_1( v3f p, v3f tri[3], v3f dest ) +{ + v3f ab, ac, ap; + float d1, d2; + + /* Region outside A */ + v3_sub( tri[1], tri[0], ab ); + v3_sub( tri[2], tri[0], ac ); + v3_sub( p, tri[0], ap ); + + d1 = v3_dot(ab,ap); + d2 = v3_dot(ac,ap); + if( d1 <= 0.0f && d2 <= 0.0f ) + { + v3_copy( tri[0], dest ); + return; + } + + /* Region outside B */ + v3f bp; + float d3, d4; + + v3_sub( p, tri[1], bp ); + d3 = v3_dot( ab, bp ); + d4 = v3_dot( ac, bp ); + + if( d3 >= 0.0f && d4 <= d3 ) + { + v3_copy( tri[1], dest ); + return; + } + + /* Edge region of AB */ + float vc = d1*d4 - d3*d2; + if( vc <= 0.0f && d1 >= 0.0f && d3 <= 0.0f ) + { + float v = d1 / (d1-d3); + v3_muladds( tri[0], ab, v, dest ); + return; + } + + /* Region outside C */ + v3f cp; + float d5, d6; + v3_sub( p, tri[2], cp ); + d5 = v3_dot(ab, cp); + d6 = v3_dot(ac, cp); + + if( d6 >= 0.0f && d5 <= d6 ) + { + v3_copy( tri[2], dest ); + return; + } + + /* Region of AC */ + float vb = d5*d2 - d1*d6; + if( vb <= 0.0f && d2 >= 0.0f && d6 <= 0.0f ) + { + float w = d2 / (d2-d6); + v3_muladds( tri[0], ac, w, dest ); + return; + } + + /* Region of BC */ + float va = d3*d6 - d5*d4; + if( va <= 0.0f && (d4-d3) >= 0.0f && (d5-d6) >= 0.0f ) + { + float w = (d4-d3) / ((d4-d3) + (d5-d6)); + v3f bc; + v3_sub( tri[2], tri[1], bc ); + v3_muladds( tri[1], bc, w, dest ); + return; + } + + /* P inside region, Q via barycentric coordinates uvw */ + float d = 1.0f/(va+vb+vc), + v = vb*d, + w = vc*d; + + v3_muladds( tri[0], ab, v, dest ); + v3_muladds( dest, ac, w, dest ); +} + +static int rb_intersect_planes( v4f p0, v4f p1, v4f p2, v3f p ) +{ + v3f u; + v3_cross( p1, p2, u ); + float d = v3_dot( p0, u ); + + if( fabsf(d) < 0.0001f ) + return 0; + + v3_muls( u, p0[3], p ); + + v3f v0, v1; + v3_muls( p1, p2[3], v0 ); + v3_muladds( v0, p2, -p1[3], v0 ); + v3_cross( p0, v0, v1 ); + v3_add( v1, p, p ); + v3_muls( p, 1.0f/d, p ); + + return 1; +} + +int rb_intersect_planes_1( v4f a, v4f b, v4f c, v3f p ) +{ + float const epsilon = 0.001; + + v3f x, bc, ca, ab; + float d; + + v3_cross( a, b, x ); + d = v3_dot( x, c ); + + if( d < epsilon && d > -epsilon ) return 0; + + v3_cross(b,c,bc); + v3_cross(c,a,ca); + v3_cross(a,b,ab); + + v3_muls( bc, -a[3], p ); + v3_muladds( p, ca, -b[3], p ); + v3_muladds( p, ab, -c[3], p ); + + v3_negate( p, p ); + v3_divs( p, d, p ); + + return 1; +} /* * Contact generators * @@ -409,8 +601,8 @@ static void closest_on_triangle( v3f p, v3f tri[3], v3f dest ) static void rb_debug_contact( rb_ct *ct ) { v3f p1; - v3_muladds( ct->co, ct->n, 0.2f, p1 ); - vg_line_pt3( ct->co, 0.1f, 0xff0000ff ); + v3_muladds( ct->co, ct->n, 0.1f, p1 ); + vg_line_pt3( ct->co, 0.025f, 0xff0000ff ); vg_line( ct->co, p1, 0xffffffff ); } @@ -814,6 +1006,320 @@ static int rb_sphere_vs_sphere( rigidbody *rba, rigidbody *rbb, rb_ct *buf ) return 0; } +/* TODO: these guys */ + +static int rb_capsule_vs_scene( rigidbody *rba, rigidbody *rbb, rb_ct *buf ) +{ + u32 geo[128]; + v3f tri[3]; + int len = bh_select( &rbb->inf.scene.pscene->bhtris, + rba->bbx_world, geo, 128 ); + + return 0; +} + +static int rb_sphere_vs_triangle( rigidbody *rba, rigidbody *rbb, + v3f tri[3], rb_ct *buf ) +{ + v3f delta, co; + + closest_on_triangle( rba->co, tri, co ); + v3_sub( rba->co, co, delta ); + + vg_line( rba->co, co, 0xffff0000 ); + vg_line_pt3( rba->co, 0.1f, 0xff00ffff ); + + float d2 = v3_length2( delta ), + r = rba->inf.sphere.radius; + + if( d2 < r*r ) + { + rb_ct *ct = buf; + + v3f ab, ac, tn; + v3_sub( tri[2], tri[0], ab ); + v3_sub( tri[1], tri[0], ac ); + v3_cross( ac, ab, tn ); + v3_copy( tn, ct->n ); + v3_normalize( ct->n ); + + float d = sqrtf(d2); + + v3_copy( co, ct->co ); + ct->p = r-d; + ct->rba = rba; + ct->rbb = rbb; + return 1; + } + + return 0; +} + +static int rb_sphere_vs_scene( rigidbody *rba, rigidbody *rbb, rb_ct *buf ) +{ + scene *sc = rbb->inf.scene.pscene; + + u32 geo[128]; + v3f tri[3]; + int len = bh_select( &sc->bhtris, rba->bbx_world, geo, 128 ); + + int count = 0; + + for( int i=0; iindices[ geo[i]*3 ]; + + for( int j=0; j<3; j++ ) + v3_copy( sc->verts[ptri[j]].co, tri[j] ); + + vg_line(tri[0],tri[1],0xff00ff00 ); + vg_line(tri[1],tri[2],0xff00ff00 ); + vg_line(tri[2],tri[0],0xff00ff00 ); + + buf[count].element_id = ptri[0]; + count += rb_sphere_vs_triangle( rba, rbb, tri, buf+count ); + + if( count == 12 ) + { + vg_warn( "Exceeding sphere_vs_scene capacity. Geometry too dense!\n" ); + return count; + } + } + + return count; +} + +static float rb_box_plane_interval( rigidbody *rba, v4f p ) +{ + /* TODO: Make boxes COG aligned as is every other shape. + * or create COG vector. + * TODO: Make forward actually point in the right fucking direction. */ + v3f e,c; + v3_sub( rba->bbx[1], rba->bbx[0], e ); + v3_muls( e, 0.5f, e ); + v3_add( rba->bbx[0], e, c ); + m4x3_mulv( rba->to_world, c, c ); + + float r = + e[0]*fabsf( v3_dot(p, rba->right)) + + e[1]*fabsf( v3_dot(p, rba->up)) + + e[2]*fabsf(-v3_dot(p, rba->forward)), + s = v3_dot( p, c ) - p[3]; + + return r-s; +} + +static int rb_box_triangle_interval( v3f extent, v3f axis, v3f tri[3] ) +{ + float + + r = extent[0] * fabsf(axis[0]) + + extent[1] * fabsf(axis[1]) + + extent[2] * fabsf(axis[2]), + + p0 = v3_dot( axis, tri[0] ), + p1 = v3_dot( axis, tri[1] ), + p2 = v3_dot( axis, tri[2] ), + + e = vg_maxf(-vg_maxf(p0,vg_maxf(p1,p2)), vg_minf(p0,vg_minf(p1,p2))); + + if( e > r ) return 0; + else return 1; +} + +static int rb_box_triangle_sat( rigidbody *rba, v3f tri_src[3] ) +{ + v3f tri[3]; + + v3f extent, c; + v3_sub( rba->bbx[1], rba->bbx[0], extent ); + v3_muls( extent, 0.5f, extent ); + v3_add( rba->bbx[0], extent, c ); + + for( int i=0; i<3; i++ ) + { + m4x3_mulv( rba->to_local, tri_src[i], tri[i] ); + v3_sub( tri[i], c, tri[i] ); + } + + /* u0, u1, u2 */ + if(!rb_box_triangle_interval( extent, (v3f){1.0f,0.0f,0.0f}, tri )) return 0; + if(!rb_box_triangle_interval( extent, (v3f){0.0f,1.0f,0.0f}, tri )) return 0; + if(!rb_box_triangle_interval( extent, (v3f){0.0f,0.0f,1.0f}, tri )) return 0; + + v3f v0,v1,v2,n, e0,e1,e2; + v3_sub( tri[1], tri[0], v0 ); + v3_sub( tri[2], tri[0], v1 ); + v3_sub( tri[2], tri[1], v2 ); + v3_normalize( v0 ); + v3_normalize( v1 ); + v3_normalize( v2 ); + v3_cross( v0, v1, n ); + v3_cross( v0, n, e0 ); + v3_cross( n, v1, e1 ); + v3_cross( v2, n, e2 ); + + /* normal */ + if(!rb_box_triangle_interval( extent, n, tri )) return 0; + + v3f axis[9]; + v3_cross( e0, (v3f){1.0f,0.0f,0.0f}, axis[0] ); + v3_cross( e0, (v3f){0.0f,1.0f,0.0f}, axis[1] ); + v3_cross( e0, (v3f){0.0f,0.0f,1.0f}, axis[2] ); + v3_cross( e1, (v3f){1.0f,0.0f,0.0f}, axis[3] ); + v3_cross( e1, (v3f){0.0f,1.0f,0.0f}, axis[4] ); + v3_cross( e1, (v3f){0.0f,0.0f,1.0f}, axis[5] ); + v3_cross( e2, (v3f){1.0f,0.0f,0.0f}, axis[6] ); + v3_cross( e2, (v3f){0.0f,1.0f,0.0f}, axis[7] ); + v3_cross( e2, (v3f){0.0f,0.0f,1.0f}, axis[8] ); + + for( int i=0; i<9; i++ ) + if(!rb_box_triangle_interval( extent, axis[i], tri )) return 0; + + return 1; +} + +static int rb_box_vs_scene( rigidbody *rba, rigidbody *rbb, rb_ct *buf ) +{ + scene *sc = rbb->inf.scene.pscene; + + u32 geo[128]; + v3f tri[3]; + int len = bh_select( &sc->bhtris, rba->bbx_world, geo, 128 ); + + int count = 0; + + for( int i=0; iindices[ geo[i]*3 ]; + + for( int j=0; j<3; j++ ) + v3_copy( sc->verts[ptri[j]].co, tri[j] ); + + if( rb_box_triangle_sat( rba, tri ) ) + { + vg_line(tri[0],tri[1],0xff50ff00 ); + vg_line(tri[1],tri[2],0xff50ff00 ); + vg_line(tri[2],tri[0],0xff50ff00 ); + } + else + { + vg_line(tri[0],tri[1],0xff0000ff ); + vg_line(tri[1],tri[2],0xff0000ff ); + vg_line(tri[2],tri[0],0xff0000ff ); + + continue; + } + + v3f v0,v1,n; + v3_sub( tri[1], tri[0], v0 ); + v3_sub( tri[2], tri[0], v1 ); + v3_cross( v0, v1, n ); + v3_normalize( n ); + + /* find best feature */ + float best = v3_dot( rba->right, n ); + int axis = 0; + + float cy = v3_dot( rba->up, n ); + if( fabsf(cy) > fabsf(best) ) + { + best = cy; + axis = 1; + } + + /* TODO: THIS IS WRONG DIRECTION */ + float cz = -v3_dot( rba->forward, n ); + if( fabsf(cz) > fabsf(best) ) + { + best = cz; + axis = 2; + } + + v3f manifold[4]; + + if( axis == 0 ) + { + float px = best > 0.0f? rba->bbx[0][0]: rba->bbx[1][0]; + manifold[0][0] = px; + manifold[0][1] = rba->bbx[0][1]; + manifold[0][2] = rba->bbx[0][2]; + manifold[1][0] = px; + manifold[1][1] = rba->bbx[1][1]; + manifold[1][2] = rba->bbx[0][2]; + manifold[2][0] = px; + manifold[2][1] = rba->bbx[1][1]; + manifold[2][2] = rba->bbx[1][2]; + manifold[3][0] = px; + manifold[3][1] = rba->bbx[0][1]; + manifold[3][2] = rba->bbx[1][2]; + } + else if( axis == 1 ) + { + float py = best > 0.0f? rba->bbx[0][1]: rba->bbx[1][1]; + manifold[0][0] = rba->bbx[0][0]; + manifold[0][1] = py; + manifold[0][2] = rba->bbx[0][2]; + manifold[1][0] = rba->bbx[1][0]; + manifold[1][1] = py; + manifold[1][2] = rba->bbx[0][2]; + manifold[2][0] = rba->bbx[1][0]; + manifold[2][1] = py; + manifold[2][2] = rba->bbx[1][2]; + manifold[3][0] = rba->bbx[0][0]; + manifold[3][1] = py; + manifold[3][2] = rba->bbx[1][2]; + } + else + { + float pz = best > 0.0f? rba->bbx[0][2]: rba->bbx[1][2]; + manifold[0][0] = rba->bbx[0][0]; + manifold[0][1] = rba->bbx[0][1]; + manifold[0][2] = pz; + manifold[1][0] = rba->bbx[1][0]; + manifold[1][1] = rba->bbx[0][1]; + manifold[1][2] = pz; + manifold[2][0] = rba->bbx[1][0]; + manifold[2][1] = rba->bbx[1][1]; + manifold[2][2] = pz; + manifold[3][0] = rba->bbx[0][0]; + manifold[3][1] = rba->bbx[1][1]; + manifold[3][2] = pz; + } + + for( int j=0; j<4; j++ ) + m4x3_mulv( rba->to_world, manifold[j], manifold[j] ); + + vg_line( manifold[0], manifold[1], 0xffffffff ); + vg_line( manifold[1], manifold[2], 0xffffffff ); + vg_line( manifold[2], manifold[3], 0xffffffff ); + vg_line( manifold[3], manifold[0], 0xffffffff ); + + for( int j=0; j<4; j++ ) + { + rb_ct *ct = buf+count; + + v3_copy( manifold[j], ct->co ); + v3_copy( n, ct->n ); + + float l0 = v3_dot( tri[0], n ), + l1 = v3_dot( manifold[j], n ); + + ct->p = (l0-l1)*0.5f; + if( ct->p < 0.0f ) + continue; + + ct->rba = rba; + ct->rbb = rbb; + count ++; + + if( count >= 12 ) + return count; + } + } + return count; +} + static int RB_MATRIX_ERROR( rigidbody *rba, rigidbody *rbb, rb_ct *buf ) { vg_error( "Collision type is unimplemented between types %d and %d\n", @@ -837,20 +1343,53 @@ static int rb_box_vs_sphere( rigidbody *rba, rigidbody *rbb, rb_ct *buf ) return rb_sphere_vs_box( rbb, rba, buf ); } -static int (*rb_jump_table[4][4])( rigidbody *rba, rigidbody *rbb, rb_ct *buf ) -= { - /* box */ /* Sphere */ /* Capsule */ -/*box */ { RB_MATRIX_ERROR, rb_box_vs_sphere, rb_box_vs_capsule, RB_MATRIX_ERROR }, -/*sphere */ { rb_sphere_vs_box, rb_sphere_vs_sphere, rb_sphere_vs_capsule, RB_MATRIX_ERROR }, +static int rb_scene_vs_box( rigidbody *rba, rigidbody *rbb, rb_ct *buf ) +{ + return rb_box_vs_scene( rbb, rba, buf ); +} + +static int (*rb_jump_table[4][4])( rigidbody *rba, rigidbody *rbb, rb_ct *buf )= +{ /* box */ /* Sphere */ /* Capsule */ /* Mesh */ +/*box */ { RB_MATRIX_ERROR, rb_box_vs_sphere, rb_box_vs_capsule, rb_box_vs_scene }, +/*sphere */ { rb_sphere_vs_box, rb_sphere_vs_sphere, rb_sphere_vs_capsule, rb_sphere_vs_scene }, /*capsule*/ { rb_capsule_vs_box,rb_capsule_vs_sphere,rb_capsule_vs_capsule,RB_MATRIX_ERROR }, -/*mesh */ { RB_MATRIX_ERROR, RB_MATRIX_ERROR, RB_MATRIX_ERROR, RB_MATRIX_ERROR } +/*mesh */ { rb_scene_vs_box, RB_MATRIX_ERROR, RB_MATRIX_ERROR, RB_MATRIX_ERROR } }; +static int rb_collide( rigidbody *rba, rigidbody *rbb ) +{ + int (*collider_jump)(rigidbody *rba, rigidbody *rbb, rb_ct *buf ) + = rb_jump_table[rba->type][rbb->type]; + + /* + * 12 is the maximum manifold size we can generate, so we are forced to abort + * potentially checking any more. + */ + if( rb_contact_count + 12 > vg_list_size(rb_contact_buffer) ) + { + vg_warn( "Too many contacts made in global collider buffer (%d of %d\n)", + rb_contact_count, vg_list_size(rb_contact_buffer) ); + return 0; + } + + /* + * TODO: Replace this with a more dedicated broad phase pass + */ + if( box_overlap( rba->bbx_world, rbb->bbx_world ) ) + { + int count = collider_jump( rba, rbb, rb_contact_buffer+rb_contact_count); + rb_contact_count += count; + return count; + } + else + return 0; +} /* * Generic functions */ +#ifdef RB_DEPR /* * This function does not accept triangle as a dynamic object, it is assumed * to always be static. @@ -891,8 +1430,6 @@ static int rb_sphere_vs_triangle( rigidbody *rba, v3f tri[3], rb_ct *buf ) return 0; } - -RB_DEPR static int sphere_vs_triangle( v3f c, float r, v3f tri[3], v3f co, v3f norm, float *p ) { @@ -926,6 +1463,7 @@ static int sphere_vs_triangle( v3f c, float r, v3f tri[3], } #include "world.h" +#endif static void rb_solver_reset(void) { @@ -937,6 +1475,7 @@ static rb_ct *rb_global_ct(void) return rb_contact_buffer + rb_contact_count; } +#ifdef RB_DEPR static struct contact *rb_start_contact(void) { if( rb_contact_count == vg_list_size(rb_contact_buffer) ) @@ -1004,7 +1543,6 @@ static void rb_build_manifold_terrain_sphere( rigidbody *rb ) } -RB_DEPR static void rb_build_manifold_terrain( rigidbody *rb ) { v3f *box = rb->bbx; @@ -1069,6 +1607,7 @@ static void rb_build_manifold_terrain( rigidbody *rb ) } } } +#endif /* * Initializing things like tangent vectors @@ -1079,13 +1618,42 @@ static void rb_presolve_contacts( rb_ct *buffer, int len ) for( int i=0; ibias = -0.2f * k_rb_rate * vg_minf(0.0f,-ct->p+0.04f); + ct->bias = -0.2f * k_rb_rate * vg_minf(0.0f,-ct->p+0.01f); rb_tangent_basis( ct->n, ct->t[0], ct->t[1] ); ct->norm_impulse = 0.0f; ct->tangent_impulse[0] = 0.0f; ct->tangent_impulse[1] = 0.0f; - ct->mass_total = 1.0f/(ct->rba->inv_mass + ct->rbb->inv_mass); + + v3f ra, rb, raCn, rbCn, raCt, rbCt; + v3_sub( ct->co, ct->rba->co, ra ); + v3_sub( ct->co, ct->rbb->co, rb ); + v3_cross( ra, ct->n, raCn ); + v3_cross( rb, ct->n, rbCn ); + + /* orient inverse inertia tensors */ + v3f raCnI, rbCnI; + m3x3_mulv( ct->rba->iIw, raCn, raCnI ); + m3x3_mulv( ct->rbb->iIw, rbCn, rbCnI ); + + ct->normal_mass = ct->rba->inv_mass + ct->rbb->inv_mass; + ct->normal_mass += v3_dot( raCn, raCnI ); + ct->normal_mass += v3_dot( rbCn, rbCnI ); + ct->normal_mass = 1.0f/ct->normal_mass; + + for( int j=0; j<2; j++ ) + { + v3f raCtI, rbCtI; + v3_cross( ct->t[j], ra, raCt ); + v3_cross( ct->t[j], rb, rbCt ); + m3x3_mulv( ct->rba->iIw, raCt, raCtI ); + m3x3_mulv( ct->rbb->iIw, rbCt, rbCtI ); + + ct->tangent_mass[j] = ct->rba->inv_mass + ct->rbb->inv_mass; + ct->tangent_mass[j] += v3_dot( raCt, raCtI ); + ct->tangent_mass[j] += v3_dot( rbCt, rbCtI ); + ct->tangent_mass[j] = 1.0f/ct->tangent_mass[j]; + } rb_debug_contact( ct ); } @@ -1114,35 +1682,49 @@ static void rb_rcv( rb_ct *ct, v3f rv, v3f da, v3f db ) /* * Apply regular and angular velocity impulses to objects involved in contact */ + +/* TODO REMOVEEE................... */ static void rb_standard_impulse( rb_ct *ct, v3f da, v3f db, v3f impulse ) { rigidbody *rba = ct->rba, *rbb = ct->rbb; - v3f ia, ib; - v3_muls( impulse, ct->mass_total*rba->inv_mass, ia ); - v3_muls( impulse, -ct->mass_total*rbb->inv_mass, ib ); - - /* response */ - v3_add( rba->v, ia, rba->v ); - v3_add( rbb->v, ib, rbb->v ); + v3_muladds( rba->v, impulse, rba->inv_mass, rba->v ); + v3_muladds( rbb->v, impulse, -rbb->inv_mass, rbb->v ); /* Angular velocity */ - v3f wa, wb; - v3_cross( da, ia, wa ); - v3_cross( db, ib, wb ); + v3f wa, wb, invim; + v3_cross( da, impulse, wa ); + v3_negate( impulse, invim ); + v3_cross( db, invim, wb ); + + m3x3_mulv( ct->rba->iIw, wa, wa ); + m3x3_mulv( ct->rbb->iIw, wb, wb ); v3_add( rba->w, wa, rba->w ); v3_add( rbb->w, wb, rbb->w ); } +/* ......... USE THIS */ +static void rb_linear_impulse( rigidbody *rb, v3f delta, v3f impulse ) +{ + /* linear */ + v3_muladds( rb->v, impulse, rb->inv_mass, rb->v ); + + /* Angular velocity */ + v3f wa; + v3_cross( delta, impulse, wa ); + + m3x3_mulv( rb->iIw, wa, wa ); + v3_add( rb->w, wa, rb->w ); +} + /* * One iteration to solve the contact constraint */ static void rb_solve_contacts( rb_ct *buf, int len ) { - float k_friction = 0.1f; + float k_friction = 0.2f; - /* Friction Impulse */ for( int i=0; inorm_impulse, - vt = -v3_dot( rv, ct->t[j] ); + float f = k_friction * ct->norm_impulse, + vt = v3_dot( rv, ct->t[j] ), + lambda = ct->tangent_mass[j] * -vt; float temp = ct->tangent_impulse[j]; - ct->tangent_impulse[j] = vg_clampf( temp+vt, -f, f ); - vt = ct->tangent_impulse[j] - temp; + ct->tangent_impulse[j] = vg_clampf( temp + lambda, -f, f ); + lambda = ct->tangent_impulse[j] - temp; v3f impulse; - v3_muls( ct->t[j], vt, impulse ); + v3_muls( ct->t[j], lambda, impulse ); rb_standard_impulse( ct, da, db, impulse ); } - } - - /* Normal Impulse */ - for( int i=0; irba, - *rbb = ct->rbb; - v3f rv, da, db; + /* Normal */ rb_rcv( ct, rv, da, db ); - - float vn = -v3_dot( rv, ct->n ) + ct->bias; + float vn = v3_dot( rv, ct->n ), + lambda = ct->normal_mass * (-vn + ct->bias); float temp = ct->norm_impulse; - ct->norm_impulse = vg_maxf( temp + vn, 0.0f ); - vn = ct->norm_impulse - temp; + ct->norm_impulse = vg_maxf( temp + lambda, 0.0f ); + lambda = ct->norm_impulse - temp; v3f impulse; - v3_muls( ct->n, vn, impulse ); + v3_muls( ct->n, lambda, impulse ); rb_standard_impulse( ct, da, db, impulse ); } } @@ -1232,10 +1808,9 @@ static int rb_angle_limit_force( rigidbody *rba, v3f va, static void rb_constraint_angle_limit( struct rb_angle_limit *limit ) { - + } -RB_DEPR static void rb_constraint_angle( rigidbody *rba, v3f va, rigidbody *rbb, v3f vb, float max, float spring ) @@ -1270,20 +1845,153 @@ static void rb_constraint_angle( rigidbody *rba, v3f va, } } -static void rb_relative_velocity( rigidbody *ra, v3f lca, - rigidbody *rb, v3f lcb, v3f rcv ) +static void draw_angle_limit( v3f c, v3f major, v3f minor, + float amin, float amax, float measured, + u32 colour ) +{ + float f = 0.05f; + v3f ay, ax; + v3_muls( major, f, ay ); + v3_muls( minor, f, ax ); + + for( int x=0; x<16; x++ ) + { + float t0 = (float)x / 16.0f, + t1 = (float)(x+1) / 16.0f, + a0 = vg_lerpf( amin, amax, t0 ), + a1 = vg_lerpf( amin, amax, t1 ); + + v3f p0, p1; + v3_muladds( c, ay, cosf(a0), p0 ); + v3_muladds( p0, ax, sinf(a0), p0 ); + v3_muladds( c, ay, cosf(a1), p1 ); + v3_muladds( p1, ax, sinf(a1), p1 ); + + vg_line( p0, p1, colour ); + + if( x == 0 ) + vg_line( c, p0, colour ); + if( x == 15 ) + vg_line( c, p1, colour ); + } + + v3f p2; + v3_muladds( c, ay, cosf(measured)*1.2f, p2 ); + v3_muladds( p2, ax, sinf(measured)*1.2f, p2 ); + vg_line( c, p2, colour ); +} + +static void rb_debug_constraint_limits( rigidbody *ra, rigidbody *rb, v3f lca, + v3f limits[2] ) { + v3f ax, ay, az, bx, by, bz; + m3x3_mulv( ra->to_world, (v3f){1.0f,0.0f,0.0f}, ax ); + m3x3_mulv( ra->to_world, (v3f){0.0f,1.0f,0.0f}, ay ); + m3x3_mulv( ra->to_world, (v3f){0.0f,0.0f,1.0f}, az ); + m3x3_mulv( rb->to_world, (v3f){1.0f,0.0f,0.0f}, bx ); + m3x3_mulv( rb->to_world, (v3f){0.0f,1.0f,0.0f}, by ); + m3x3_mulv( rb->to_world, (v3f){0.0f,0.0f,1.0f}, bz ); + + v2f px, py, pz; + px[0] = v3_dot( ay, by ); + px[1] = v3_dot( az, by ); + + py[0] = v3_dot( az, bz ); + py[1] = v3_dot( ax, bz ); + + pz[0] = v3_dot( ax, bx ); + pz[1] = v3_dot( ay, bx ); + + float r0 = atan2f( px[1], px[0] ), + r1 = atan2f( py[1], py[0] ), + r2 = atan2f( pz[1], pz[0] ); + + v3f c; + m4x3_mulv( ra->to_world, lca, c ); + draw_angle_limit( c, ay, az, limits[0][0], limits[1][0], r0, 0xff0000ff ); + draw_angle_limit( c, az, ax, limits[0][1], limits[1][1], r1, 0xff00ff00 ); + draw_angle_limit( c, ax, ay, limits[0][2], limits[1][2], r2, 0xffff0000 ); +} + +static void rb_limit_cure( rigidbody *ra, rigidbody *rb, v3f axis, float d ) +{ + if( d != 0.0f ) + { + float avx = v3_dot( ra->w, axis ) - v3_dot( rb->w, axis ); + float joint_mass = rb->inv_mass + ra->inv_mass; + joint_mass = 1.0f/joint_mass; + + float bias = (0.04f * k_rb_rate) * d, + lambda = -(avx + bias) * joint_mass; + + /* Angular velocity */ + v3f wa, wb; + v3_muls( axis, lambda * ra->inv_mass, wa ); + v3_muls( axis, -lambda * rb->inv_mass, wb ); + + v3_add( ra->w, wa, ra->w ); + v3_add( rb->w, wb, rb->w ); + } +} + +static void rb_constraint_limits( rigidbody *ra, v3f lca, + rigidbody *rb, v3f lcb, v3f limits[2] ) +{ + /* TODO: Code dupe remover */ + v3f ax, ay, az, bx, by, bz; + m3x3_mulv( ra->to_world, (v3f){1.0f,0.0f,0.0f}, ax ); + m3x3_mulv( ra->to_world, (v3f){0.0f,1.0f,0.0f}, ay ); + m3x3_mulv( ra->to_world, (v3f){0.0f,0.0f,1.0f}, az ); + m3x3_mulv( rb->to_world, (v3f){1.0f,0.0f,0.0f}, bx ); + m3x3_mulv( rb->to_world, (v3f){0.0f,1.0f,0.0f}, by ); + m3x3_mulv( rb->to_world, (v3f){0.0f,0.0f,1.0f}, bz ); + + v2f px, py, pz; + px[0] = v3_dot( ay, by ); + px[1] = v3_dot( az, by ); + + py[0] = v3_dot( az, bz ); + py[1] = v3_dot( ax, bz ); + + pz[0] = v3_dot( ax, bx ); + pz[1] = v3_dot( ay, bx ); + + float r0 = atan2f( px[1], px[0] ), + r1 = atan2f( py[1], py[0] ), + r2 = atan2f( pz[1], pz[0] ); + + /* calculate angle deltas */ + float dx = 0.0f, dy = 0.0f, dz = 0.0f; + + if( r0 < limits[0][0] ) dx = limits[0][0] - r0; + if( r0 > limits[1][0] ) dx = limits[1][0] - r0; + if( r1 < limits[0][1] ) dy = limits[0][1] - r1; + if( r1 > limits[1][1] ) dy = limits[1][1] - r1; + if( r2 < limits[0][2] ) dz = limits[0][2] - r2; + if( r2 > limits[1][2] ) dz = limits[1][2] - r2; + v3f wca, wcb; m3x3_mulv( ra->to_world, lca, wca ); m3x3_mulv( rb->to_world, lcb, wcb ); - v3_sub( ra->v, rb->v, rcv ); + rb_limit_cure( ra, rb, ax, dx ); + rb_limit_cure( ra, rb, ay, dy ); + rb_limit_cure( ra, rb, az, dz ); +} - v3f rcv_Ra, rcv_Rb; - v3_cross( ra->w, wca, rcv_Ra ); - v3_cross( rb->w, wcb, rcv_Rb ); - v3_add( rcv_Ra, rcv, rcv ); - v3_sub( rcv, rcv_Rb, rcv ); +static void rb_debug_constraint_position( rigidbody *ra, v3f lca, + rigidbody *rb, v3f lcb ) +{ + v3f wca, wcb; + m3x3_mulv( ra->to_world, lca, wca ); + m3x3_mulv( rb->to_world, lcb, wcb ); + + v3f p0, p1; + v3_add( wca, ra->co, p0 ); + v3_add( wcb, rb->co, p1 ); + vg_line_pt3( p0, 0.005f, 0xffffff00 ); + vg_line_pt3( p1, 0.005f, 0xffffff00 ); + vg_line( p0, p1, 0xffffff00 ); } static void rb_constraint_position( rigidbody *ra, v3f lca, @@ -1294,14 +2002,6 @@ static void rb_constraint_position( rigidbody *ra, v3f lca, m3x3_mulv( ra->to_world, lca, wca ); m3x3_mulv( rb->to_world, lcb, wcb ); - v3f delta; - v3_add( wcb, rb->co, delta ); - v3_sub( delta, wca, delta ); - v3_sub( delta, ra->co, delta ); - - v3_muladds( ra->co, delta, 0.5f, ra->co ); - v3_muladds( rb->co, delta, -0.5f, rb->co ); - v3f rcv; v3_sub( ra->v, rb->v, rcv ); @@ -1311,41 +2011,47 @@ static void rb_constraint_position( rigidbody *ra, v3f lca, v3_add( rcv_Ra, rcv, rcv ); v3_sub( rcv, rcv_Rb, rcv ); - float nm = 0.5f/(rb->inv_mass + ra->inv_mass); - - float mass_a = 1.0f/ra->inv_mass, - mass_b = 1.0f/rb->inv_mass, - total_mass = mass_a+mass_b; - - v3f impulse; - v3_muls( rcv, 1.0f, impulse ); - v3_muladds( rb->v, impulse, mass_b/total_mass, rb->v ); - v3_cross( wcb, impulse, impulse ); - v3_add( impulse, rb->w, rb->w ); + v3f delta; + v3f p0, p1; + v3_add( wca, ra->co, p0 ); + v3_add( wcb, rb->co, p1 ); + v3_sub( p1, p0, delta ); - v3_muls( rcv, -1.0f, impulse ); - v3_muladds( ra->v, impulse, mass_a/total_mass, ra->v ); - v3_cross( wca, impulse, impulse ); - v3_add( impulse, ra->w, ra->w ); + float dist2 = v3_length2( delta ); -#if 0 - /* - * this could be used for spring joints - * its not good for position constraint - */ - v3f impulse; - v3_muls( delta, 0.5f*spring, impulse ); + if( dist2 > 0.00001f ) + { + float dist = sqrtf(dist2); + v3_muls( delta, 1.0f/dist, delta ); - v3_add( impulse, ra->v, ra->v ); - v3_cross( wca, impulse, impulse ); - v3_add( impulse, ra->w, ra->w ); + float joint_mass = rb->inv_mass + ra->inv_mass; - v3_muls( delta, -0.5f*spring, impulse ); + v3f raCn, rbCn, raCt, rbCt; + v3_cross( wca, delta, raCn ); + v3_cross( wcb, delta, rbCn ); + + /* orient inverse inertia tensors */ + v3f raCnI, rbCnI; + m3x3_mulv( ra->iIw, raCn, raCnI ); + m3x3_mulv( rb->iIw, rbCn, rbCnI ); + joint_mass += v3_dot( raCn, raCnI ); + joint_mass += v3_dot( rbCn, rbCnI ); + joint_mass = 1.0f/joint_mass; + + float vd = v3_dot( rcv, delta ), + bias = -(0.08f * k_rb_rate) * dist, + lambda = -(vd + bias) * joint_mass; - v3_add( impulse, rb->v, rb->v ); - v3_cross( wcb, impulse, impulse ); - v3_add( impulse, rb->w, rb->w ); -#endif + v3f impulse; + v3_muls( delta, lambda, impulse ); + rb_linear_impulse( ra, wca, impulse ); + v3_muls( delta, -lambda, impulse ); + rb_linear_impulse( rb, wcb, impulse ); + + /* 'fake' snap */ + v3_muladds( ra->co, delta, dist * 0.01f, ra->co ); + v3_muladds( rb->co, delta, -dist * 0.01f, rb->co ); + } } static void debug_sphere( m4x3f m, float radius, u32 colour ) @@ -1483,8 +2189,13 @@ static void rb_debug( rigidbody *rb, u32 colour ) debug_capsule( rb->to_world, r, h, colour ); } + else if( rb->type == k_rb_shape_scene ) + { + vg_line_boxf( rb->bbx, colour ); + } } +#ifdef RB_DEPR /* * out penetration distance, normal */ @@ -1577,4 +2288,6 @@ static bh_system bh_system_rigidbodies = .cast_ray = NULL }; +#endif + #endif /* RIGIDBODY_H */