*/
#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;
+
+#ifndef RIGIDBODY_H
+#define RIGIDBODY_H
+
+//#define RB_DEPR
+#define k_rb_rate 60.0f
+#define k_rb_delta (1.0f/k_rb_rate)
+
+typedef struct rigidbody rigidbody;
+typedef struct contact rb_ct;
+
+struct rigidbody
+{
+ v3f co, v, w;
+ v4f q;
+
+ enum rb_shape
+ {
+ k_rb_shape_box = 0,
+ k_rb_shape_sphere = 1,
+ k_rb_shape_capsule = 2,
+ k_rb_shape_scene = 3
+ }
+ type;
+
+ union
+ {
+ struct rb_sphere
+ {
+ float radius;
+ }
+ sphere;
+
+ struct rb_capsule
+ {
+ float height, radius;
+ }
+ capsule;
+
+ struct rb_scene
+ {
+ scene *pscene;
+ }
+ scene;
+ }
+ inf;
+
+ v3f right, up, forward;
+
+ int is_world;
+
+ boxf bbx, bbx_world;
+ float inv_mass;
+
+ v3f delta; /* where is the origin of this in relation to a parent body
+ TODO: Move this somewhere other than rigidbody struct
+ it is only used by character.h's ragdoll
+ */
+ 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},
+ .q={0.0f,0.0f,0.0f,1.0f},
+ .v={0.0f,0.0f,0.0f},
+ .w={0.0f,0.0f,0.0f},
+ .is_world = 1,
+ .inv_mass = 0.0f
+};
+#endif
+
+static void rb_debug( rigidbody *rb, u32 colour );
+
+static struct contact
+{
+ rigidbody *rba, *rbb;
+ v3f co, n;
+ v3f t[2];
+ float mass_total, p, bias, norm_impulse, tangent_impulse[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 );
+ q_m3x3( rb->q, rb->to_world );
+ v3_copy( rb->co, rb->to_world[3] );
+
+ m4x3_invert_affine( rb->to_world, rb->to_local );
+
+ 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 );
+
+ rb_update_bounds( rb );
+}
+
+static float sphere_volume( float radius )
+{
+ float r3 = radius*radius*radius;
+ return (4.0f/3.0f) * VG_PIf * r3;
+}
+
+static void rb_init( rigidbody *rb )
+{
+ float volume = 1.0f;
+
+ if( rb->type == k_rb_shape_box )
+ {
+ v3f dims;
+ v3_sub( rb->bbx[1], rb->bbx[0], dims );
+ volume = dims[0]*dims[1]*dims[2];
+ }
+ 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 );
+ }
+ else if( rb->type == k_rb_shape_capsule )
+ {
+ float r = rb->inf.capsule.radius,
+ h = rb->inf.capsule.height;
+ volume = sphere_volume( r ) + VG_PIf * r*r * (h - r*2.0f);
+
+ v3_fill( rb->bbx[0], -rb->inf.sphere.radius );
+ v3_fill( rb->bbx[1], rb->inf.sphere.radius );
+ 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;
+ }
+ else
+ {
+ rb->inv_mass = 1.0f/(8.0f*volume); /* TODO: Things get weird when mass
+ passes a certain point??? */
+ }
+
+ v3_zero( rb->v );
+ v3_zero( rb->w );
+
+ rb_update_transform( rb );
+}
+
+static void rb_iter( rigidbody *rb )
+{
+ v3f gravity = { 0.0f, -9.6f, 0.0f };
+ v3_muladds( rb->v, gravity, k_rb_delta, rb->v );
+
+ /* intergrate velocity */
+ v3_muladds( rb->co, rb->v, k_rb_delta, rb->co );
+ v3_lerp( rb->w, (v3f){0.0f,0.0f,0.0f}, 0.0025f, rb->w );
+
+ /* inegrate inertia */
+ if( v3_length2( rb->w ) > 0.0f )
+ {
+ v4f rotation;
+ v3f axis;
+ v3_copy( rb->w, axis );
+
+ float mag = v3_length( axis );
+ v3_divs( axis, mag, axis );
+ q_axis_angle( rotation, axis, mag*k_rb_delta );
+ q_mul( rotation, rb->q, rb->q );
+ }
+}
+
+static void rb_torque( rigidbody *rb, v3f axis, float mag )
+{
+ v3_muladds( rb->w, axis, mag*k_rb_delta, rb->w );
+}
+
+static void rb_tangent_basis( v3f n, v3f tx, v3f ty )
+{
+ /* Compute tangent basis (box2d) */
+ if( fabsf( n[0] ) >= 0.57735027f )
+ {
+ tx[0] = n[1];
+ tx[1] = -n[0];
+ tx[2] = 0.0f;
+ }
+ else
+ {
+ tx[0] = 0.0f;
+ tx[1] = n[2];
+ tx[2] = -n[1];
+ }
+
+ v3_normalize( tx );
+ v3_cross( n, tx, 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 );
+
+/*
+ * These closest point tests were learned from Real-Time Collision Detection by
+ * Christer Ericson
+ */
+static float closest_segment_segment( v3f p1, v3f q1, v3f p2, v3f q2,
+ float *s, float *t, v3f c1, v3f c2)
+{
+ v3f d1,d2,r;
+ v3_sub( q1, p1, d1 );
+ v3_sub( q2, p2, d2 );
+ v3_sub( p1, p2, r );
+
+ float a = v3_length2( d1 ),
+ e = v3_length2( d2 ),
+ f = v3_dot( d2, r );
+
+ const float kEpsilon = 0.0001f;
+
+ if( a <= kEpsilon && e <= kEpsilon )
+ {
+ *s = 0.0f;
+ *t = 0.0f;
+ v3_copy( p1, c1 );
+ v3_copy( p2, c2 );
+
+ v3f v0;
+ v3_sub( c1, c2, v0 );
+
+ return v3_length2( v0 );
+ }
+
+ if( a<= kEpsilon )
+ {
+ *s = 0.0f;
+ *t = vg_clampf( f / e, 0.0f, 1.0f );
+ }
+ else
+ {
+ float c = v3_dot( d1, r );
+ if( e <= kEpsilon )
+ {
+ *t = 0.0f;
+ *s = vg_clampf( -c / a, 0.0f, 1.0f );
+ }
+ else
+ {
+ float b = v3_dot(d1,d2),
+ d = a*e-b*b;
+
+ if( d != 0.0f )
+ {
+ *s = vg_clampf((b*f - c*e)/d, 0.0f, 1.0f);
+ }
+ else
+ {
+ *s = 0.0f;
+ }
+
+ *t = (b*(*s)+f) / e;
+
+ if( *t < 0.0f )
+ {
+ *t = 0.0f;
+ *s = vg_clampf( -c / a, 0.0f, 1.0f );
+ }
+ else if( *t > 1.0f )
+ {
+ *t = 1.0f;
+ *s = vg_clampf((b-c)/a,0.0f,1.0f);
+ }
+ }
+ }
+
+ v3_muladds( p1, d1, *s, c1 );
+ v3_muladds( p2, d2, *t, c2 );
+
+ v3f v0;
+ v3_sub( c1, c2, v0 );
+ return v3_length2( v0 );
+}
+
+static void closest_point_aabb( v3f p, boxf box, v3f dest )
+{
+ v3_maxv( p, box[0], dest );
+ v3_minv( dest, box[1], dest );
+}
+
+static void closest_point_obb( v3f p, rigidbody *rb, v3f dest )
+{
+ v3f local;
+ m4x3_mulv( rb->to_local, p, local );
+ closest_point_aabb( local, rb->bbx, local );
+ m4x3_mulv( rb->to_world, local, dest );
+}
+
+static float closest_point_segment( v3f a, v3f b, v3f point, v3f dest )
+{
+ v3f v0, v1;
+ v3_sub( b, a, v0 );
+ v3_sub( point, a, v1 );
+
+ float t = v3_dot( v1, v0 ) / v3_length2(v0);
+ t = vg_clampf(t,0.0f,1.0f);
+ v3_muladds( a, v0, t, dest );
+ return t;
+}
+
+static void closest_on_triangle( 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 );
+ v3_copy( (v3f){INFINITY,INFINITY,INFINITY}, 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 );
+ v3_copy( (v3f){INFINITY,INFINITY,INFINITY}, 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 );
+ v3_copy( (v3f){INFINITY,INFINITY,INFINITY}, 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 );
+ v3_copy( (v3f){INFINITY,INFINITY,INFINITY}, 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 );
+ v3_copy( (v3f){INFINITY,INFINITY,INFINITY}, 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 );
+ v3_copy( (v3f){INFINITY,INFINITY,INFINITY}, 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 );
+}
+
+/* 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
+ *
+ * These do not automatically allocate contacts, an appropriately sized
+ * buffer must be supplied. The function returns the size of the manifold
+ * which was generated.
+ *
+ * The values set on the contacts are: n, co, p, rba, rbb
+ */
+
+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 );
+ vg_line( ct->co, p1, 0xffffffff );
+}
+
+/*
+ * By collecting the minimum(time) and maximum(time) pairs of points, we
+ * build a reduced and stable exact manifold.
+ *
+ * tx: time at point
+ * rx: minimum distance of these points
+ * dx: the delta between the two points
+ *
+ * pairs will only ammend these if they are creating a collision
+ */
+typedef struct capsule_manifold capsule_manifold;
+struct capsule_manifold
+{
+ float t0, t1;
+ float r0, r1;
+ v3f d0, d1;
+};
+
+/*
+ * Expand a line manifold with a new pair. t value is the time along segment
+ * on the oriented object which created this pair.
+ */
+static void rb_capsule_manifold( v3f pa, v3f pb, float t, float r,
+ capsule_manifold *manifold )
+{
+ v3f delta;
+ v3_sub( pa, pb, delta );
+
+ if( v3_length2(delta) < r*r )
+ {
+ if( t < manifold->t0 )
+ {
+ v3_copy( delta, manifold->d0 );
+ manifold->t0 = t;
+ manifold->r0 = r;
+ }
+
+ if( t > manifold->t1 )
+ {
+ v3_copy( delta, manifold->d1 );
+ manifold->t1 = t;
+ manifold->r1 = r;
+ }
+ }
+}
+
+static void rb_capsule_manifold_init( capsule_manifold *manifold )
+{
+ manifold->t0 = INFINITY;
+ manifold->t1 = -INFINITY;
+}
+
+static int rb_capsule_manifold_done( rigidbody *rba, rigidbody *rbb,
+ capsule_manifold *manifold, rb_ct *buf )
+{
+ float h = rba->inf.capsule.height,
+ ra = rba->inf.capsule.radius;
+
+ v3f p0, p1;
+ v3_muladds( rba->co, rba->up, -h*0.5f+ra, p0 );
+ v3_muladds( rba->co, rba->up, h*0.5f-ra, p1 );
+
+ int count = 0;
+ if( manifold->t0 <= 1.0f )
+ {
+ rb_ct *ct = buf;
+
+ v3f pa;
+ v3_muls( p0, 1.0f-manifold->t0, pa );
+ v3_muladds( pa, p1, manifold->t0, pa );
+
+ float d = v3_length( manifold->d0 );
+ v3_muls( manifold->d0, 1.0f/d, ct->n );
+ v3_muladds( pa, ct->n, -ra, ct->co );
+
+ ct->p = manifold->r0 - d;
+ ct->rba = rba;
+ ct->rbb = rbb;
+
+ count ++;
+ }
+
+ if( (manifold->t1 >= 0.0f) && (manifold->t0 != manifold->t1) )
+ {
+ rb_ct *ct = buf+count;
+
+ v3f pa;
+ v3_muls( p0, 1.0f-manifold->t1, pa );
+ v3_muladds( pa, p1, manifold->t1, pa );
+
+ float d = v3_length( manifold->d1 );
+ v3_muls( manifold->d1, 1.0f/d, ct->n );
+ v3_muladds( pa, ct->n, -ra, ct->co );
+
+ ct->p = manifold->r1 - d;
+ ct->rba = rba;
+ ct->rbb = rbb;
+
+ count ++;
+ }
+
+ /*
+ * Debugging
+ */
+
+ if( count == 2 )
+ vg_line( buf[0].co, buf[1].co, 0xff0000ff );
+
+ return count;
+}
+
+static int rb_capsule_vs_sphere( rigidbody *rba, rigidbody *rbb, rb_ct *buf )
+{
+ float h = rba->inf.capsule.height,
+ ra = rba->inf.capsule.radius,
+ rb = rbb->inf.sphere.radius;
+
+ v3f p0, p1;
+ v3_muladds( rba->co, rba->up, -h*0.5f+ra, p0 );
+ v3_muladds( rba->co, rba->up, h*0.5f-ra, p1 );
+
+ v3f c, delta;
+ closest_point_segment( p0, p1, rbb->co, c );
+ v3_sub( c, rbb->co, delta );
+
+ float d2 = v3_length2(delta),
+ r = ra + rb;
+
+ if( d2 < r*r )
+ {
+ float d = sqrtf(d2);
+
+ rb_ct *ct = buf;
+ v3_muls( delta, 1.0f/d, ct->n );
+ ct->p = r-d;
+
+ v3f p0, p1;
+ v3_muladds( c, ct->n, -ra, p0 );
+ v3_muladds( rbb->co, ct->n, rb, p1 );
+ v3_add( p0, p1, ct->co );
+ v3_muls( ct->co, 0.5f, ct->co );
+
+ ct->rba = rba;
+ ct->rbb = rbb;
+
+ return 1;
+ }
+
+ return 0;
+}
+
+static int rb_capsule_vs_capsule( rigidbody *rba, rigidbody *rbb, rb_ct *buf )
+{
+ float ha = rba->inf.capsule.height,
+ hb = rbb->inf.capsule.height,
+ ra = rba->inf.capsule.radius,
+ rb = rbb->inf.capsule.radius,
+ r = ra+rb;
+
+ v3f p0, p1, p2, p3;
+ v3_muladds( rba->co, rba->up, -ha*0.5f+ra, p0 );
+ v3_muladds( rba->co, rba->up, ha*0.5f-ra, p1 );
+ v3_muladds( rbb->co, rbb->up, -hb*0.5f+rb, p2 );
+ v3_muladds( rbb->co, rbb->up, hb*0.5f-rb, p3 );
+
+ capsule_manifold manifold;
+ rb_capsule_manifold_init( &manifold );
+
+ v3f pa, pb;
+ float ta, tb;
+ closest_segment_segment( p0, p1, p2, p3, &ta, &tb, pa, pb );
+ rb_capsule_manifold( pa, pb, ta, r, &manifold );
+
+ ta = closest_point_segment( p0, p1, p2, pa );
+ tb = closest_point_segment( p0, p1, p3, pb );
+ rb_capsule_manifold( pa, p2, ta, r, &manifold );
+ rb_capsule_manifold( pb, p3, tb, r, &manifold );
+
+ closest_point_segment( p2, p3, p0, pa );
+ closest_point_segment( p2, p3, p1, pb );
+ rb_capsule_manifold( p0, pa, 0.0f, r, &manifold );
+ rb_capsule_manifold( p1, pb, 1.0f, r, &manifold );
+
+ return rb_capsule_manifold_done( rba, rbb, &manifold, buf );
+}
+
+/*
+ * Generates up to two contacts; optimised for the most stable manifold
+ */
+static int rb_capsule_vs_box( rigidbody *rba, rigidbody *rbb, rb_ct *buf )
+{
+ float h = rba->inf.capsule.height,
+ r = rba->inf.capsule.radius;
+
+ /*
+ * Solving this in symetric local space of the cube saves us some time and a
+ * couple branches when it comes to the quad stage.
+ */
+ v3f centroid;
+ v3_add( rbb->bbx[0], rbb->bbx[1], centroid );
+ v3_muls( centroid, 0.5f, centroid );
+
+ boxf bbx;
+ v3_sub( rbb->bbx[0], centroid, bbx[0] );
+ v3_sub( rbb->bbx[1], centroid, bbx[1] );
+
+ v3f pc, p0w, p1w, p0, p1;
+ v3_muladds( rba->co, rba->up, -h*0.5f+r, p0w );
+ v3_muladds( rba->co, rba->up, h*0.5f-r, p1w );
+
+ m4x3_mulv( rbb->to_local, p0w, p0 );
+ m4x3_mulv( rbb->to_local, p1w, p1 );
+ v3_sub( p0, centroid, p0 );
+ v3_sub( p1, centroid, p1 );
+ v3_add( p0, p1, pc );
+ v3_muls( pc, 0.5f, pc );
+
+ /*
+ * Finding an appropriate quad to collide lines with
+ */
+ v3f region;
+ v3_div( pc, bbx[1], region );
+
+ v3f quad[4];
+ if( (fabsf(region[0]) > fabsf(region[1])) &&
+ (fabsf(region[0]) > fabsf(region[2])) )
+ {
+ float px = vg_signf(region[0]) * bbx[1][0];
+ v3_copy( (v3f){ px, bbx[0][1], bbx[0][2] }, quad[0] );
+ v3_copy( (v3f){ px, bbx[1][1], bbx[0][2] }, quad[1] );
+ v3_copy( (v3f){ px, bbx[1][1], bbx[1][2] }, quad[2] );
+ v3_copy( (v3f){ px, bbx[0][1], bbx[1][2] }, quad[3] );
+ }
+ else if( fabsf(region[1]) > fabsf(region[2]) )
+ {
+ float py = vg_signf(region[1]) * bbx[1][1];
+ v3_copy( (v3f){ bbx[0][0], py, bbx[0][2] }, quad[0] );
+ v3_copy( (v3f){ bbx[1][0], py, bbx[0][2] }, quad[1] );
+ v3_copy( (v3f){ bbx[1][0], py, bbx[1][2] }, quad[2] );
+ v3_copy( (v3f){ bbx[0][0], py, bbx[1][2] }, quad[3] );
+ }
+ else
+ {
+ float pz = vg_signf(region[2]) * bbx[1][2];
+ v3_copy( (v3f){ bbx[0][0], bbx[0][1], pz }, quad[0] );
+ v3_copy( (v3f){ bbx[1][0], bbx[0][1], pz }, quad[1] );
+ v3_copy( (v3f){ bbx[1][0], bbx[1][1], pz }, quad[2] );
+ v3_copy( (v3f){ bbx[0][0], bbx[1][1], pz }, quad[3] );
+ }
+
+ capsule_manifold manifold;
+ rb_capsule_manifold_init( &manifold );
+
+ v3f c0, c1;
+ closest_point_aabb( p0, bbx, c0 );
+ closest_point_aabb( p1, bbx, c1 );
+
+ v3f d0, d1, da;
+ v3_sub( c0, p0, d0 );
+ v3_sub( c1, p1, d1 );
+ v3_sub( p1, p0, da );
+
+ /* TODO: ? */
+ v3_normalize(d0);
+ v3_normalize(d1);
+ v3_normalize(da);
+
+ if( v3_dot( da, d0 ) <= 0.01f )
+ rb_capsule_manifold( p0, c0, 0.0f, r, &manifold );
+
+ if( v3_dot( da, d1 ) >= -0.01f )
+ rb_capsule_manifold( p1, c1, 1.0f, r, &manifold );
+
+ for( int i=0; i<4; i++ )
+ {
+ int i0 = i,
+ i1 = (i+1)%4;
+
+ v3f ca, cb;
+ float ta, tb;
+ closest_segment_segment( p0, p1, quad[i0], quad[i1], &ta, &tb, ca, cb );
+ rb_capsule_manifold( ca, cb, ta, r, &manifold );
+ }
+
+ /*
+ * Create final contacts based on line manifold
+ */
+ m3x3_mulv( rbb->to_world, manifold.d0, manifold.d0 );
+ m3x3_mulv( rbb->to_world, manifold.d1, manifold.d1 );
+
+ /*
+ * Debugging
+ */
+
+#if 0
+ for( int i=0; i<4; i++ )
+ {
+ v3f q0, q1;
+ int i0 = i,
+ i1 = (i+1)%4;
+
+ v3_add( quad[i0], centroid, q0 );
+ v3_add( quad[i1], centroid, q1 );
+
+ m4x3_mulv( rbb->to_world, q0, q0 );
+ m4x3_mulv( rbb->to_world, q1, q1 );
+
+ vg_line( q0, q1, 0xffffffff );
+ }
+#endif
+
+ return rb_capsule_manifold_done( rba, rbb, &manifold, buf );
+}
+
+static int rb_sphere_vs_box( rigidbody *rba, rigidbody *rbb, rb_ct *buf )
+{
+ v3f co, delta;
+
+ closest_point_obb( rba->co, rbb, co );
+ v3_sub( rba->co, co, delta );
+
+ float d2 = v3_length2(delta),
+ r = rba->inf.sphere.radius;
+
+ if( d2 <= r*r )
+ {
+ float d;
+
+ rb_ct *ct = buf;
+ if( d2 <= 0.0001f )
+ {
+ v3_sub( rba->co, rbb->co, delta );
+
+ /*
+ * some extra testing is required to find the best axis to push the
+ * object back outside the box. Since there isnt a clear seperating
+ * vector already, especially on really high aspect boxes.
+ */
+ float lx = v3_dot( rbb->right, delta ),
+ ly = v3_dot( rbb->up, delta ),
+ lz = v3_dot( rbb->forward, delta ),
+ px = rbb->bbx[1][0] - fabsf(lx),
+ py = rbb->bbx[1][1] - fabsf(ly),
+ pz = rbb->bbx[1][2] - fabsf(lz);
+
+ if( px < py && px < pz )
+ v3_muls( rbb->right, vg_signf(lx), ct->n );
+ else if( py < pz )
+ v3_muls( rbb->up, vg_signf(ly), ct->n );
+ else
+ v3_muls( rbb->forward, vg_signf(lz), ct->n );
+
+ v3_muladds( rba->co, ct->n, -r, ct->co );
+ ct->p = r;
+ }
+ else
+ {
+ d = sqrtf(d2);
+ v3_muls( delta, 1.0f/d, ct->n );
+ ct->p = r-d;
+ v3_copy( co, ct->co );
+ }
+
+ ct->rba = rba;
+ ct->rbb = rbb;
+ return 1;
+ }
+
+ return 0;
+}
+
+static int rb_sphere_vs_sphere( rigidbody *rba, rigidbody *rbb, rb_ct *buf )
+{
+ v3f delta;
+ v3_sub( rba->co, rbb->co, delta );
+
+ float d2 = v3_length2(delta),
+ r = rba->inf.sphere.radius + rbb->inf.sphere.radius;
+
+ if( d2 < r*r )
+ {
+ float d = sqrtf(d2);
+
+ rb_ct *ct = buf;
+ v3_muls( delta, 1.0f/d, ct->n );
+
+ v3f p0, p1;
+ v3_muladds( rba->co, ct->n,-rba->inf.sphere.radius, p0 );
+ v3_muladds( rbb->co, ct->n, rbb->inf.sphere.radius, p1 );
+ v3_add( p0, p1, ct->co );
+ v3_muls( ct->co, 0.5f, ct->co );
+ ct->p = r-d;
+ ct->rba = rba;
+ ct->rbb = rbb;
+ return 1;
+ }
+
+ 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; i<len; i++ )
+ {
+ u32 *ptri = &sc->indices[ 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_vs_scene( rigidbody *rba, rigidbody *rbb, rb_ct *buf )
+{
+#if 1
+ scene *sc = rbb->inf.scene.pscene;
+
+ u32 geo[128];
+ v3f tri[3];
+ int len = bh_select( &sc->bhtris, rba->bbx_world, geo, 128 );
+
+ vg_info( "%d\n", len );
-#ifndef RIGIDBODY_H
-#define RIGIDBODY_H
+ int count = 0;
-#include "bvh.h"
+ for( int i=0; i<len; i++ )
+ {
+ u32 *ptri = &sc->indices[ geo[i]*3 ];
-#define RB_DEPR
+ for( int j=0; j<3; j++ )
+ v3_copy( sc->verts[ptri[j]].co, tri[j] );
-#define k_rb_delta (1.0f/60.0f)
+ vg_line(tri[0],tri[1],0xff00ff00 );
+ vg_line(tri[1],tri[2],0xff00ff00 );
+ vg_line(tri[2],tri[0],0xff00ff00 );
-typedef struct rigidbody rigidbody;
-struct rigidbody
-{
- v3f co, v, I;
- v4f q;
- boxf bbx, bbx_world;
- float inv_mass;
+ //count += rb_sphere_vs_triangle( rba, rbb, tri, buf+count );
+ //
+
+ /* TODO: SAT test first */
+
+ /*
+ * each pair of faces on the box vs triangle normal
+ */
- struct contact
- {
- v3f co, n, delta;
- v3f t[2];
- float bias, norm_impulse, tangent_impulse[2];
+ v3f v0, v1;
+ v4f tn;
+
+ v3_sub( tri[1],tri[0], v0 );
+ v3_sub( tri[2],tri[0], v1 );
+ v3_cross( v0, v1, tn );
+ v3_normalize( tn );
+
+ tn[3] = v3_dot( tn, tri[0] );
+
+ v4f pa, pb, pc, pd, pe, pf;
+ v3_copy( rba->right, pa );
+ v3_muls( rba->right, -1.0f, pb );
+ v3_copy( rba->up, pc );
+ v3_muls( rba->up, -1.0f, pd );
+ v3_copy( rba->forward, pf );
+ v3_muls( rba->forward, -1.0f, pe );
+
+ float dx = v3_dot( rba->co, rba->right ),
+ dy = v3_dot( rba->co, rba->up ),
+ dz = -v3_dot( rba->co, rba->forward );
+
+ pa[3] = dx + rba->bbx[1][0];
+ pb[3] = -dx - rba->bbx[0][0];
+ pc[3] = dy + rba->bbx[1][1];
+ pd[3] = -dy - rba->bbx[0][1];
+ pe[3] = dz + rba->bbx[1][2];
+ pf[3] = -dz - rba->bbx[0][2];
+
+ float *pairs[][2] = { {pc, pa}, {pc,pe}, {pc,pb}, {pc,pf},
+ {pd, pa}, {pd,pe}, {pd,pb}, {pd,pf},
+ {pf, pa}, {pa,pe}, {pe,pb}, {pb,pf}};
+ for( int j=0; j<vg_list_size(pairs); j++ )
+ {
+ v3f p;
+
+ if( rb_intersect_planes_1( pairs[j][0], pairs[j][1], tn, p ))
+ {
+ v3f p_tri, p_box;
+ closest_point_obb( p, rba, p_box );
+ closest_on_triangle_1( p, tri, p_tri );
+
+ //vg_line_pt3( p, 0.1f, 0xffeeaaff );
+
+ if( v3_dist( p_tri, p ) < 0.001f && v3_dist( p_box, p ) < 0.001f )
+ {
+ if( count == 12 )
+ {
+ vg_warn( "Exceeding box_vs_scene capacity."
+ "Geometry too dense!\n" );
+ return count;
+ }
+
+ rb_ct *ct = buf+count;
+
+ v3_copy( tn, ct->n );
+ v3_copy( p_box, ct->co );
+
+ ct->p = rb_box_plane_interval( rba, tn );
+ ct->rba = rba;
+ ct->rbb = rbb;
+ count ++;
+ }
+ }
+ }
}
- manifold[12];
- int manifold_count;
+#else
- v3f delta; /* where is the origin of this in relation to a parent body */
- m4x3f to_world, to_local;
-};
+ v3f pts[8];
+ float *p000 = pts[0], *p001 = pts[1], *p010 = pts[2], *p011 = pts[3],
+ *p100 = pts[4], *p101 = pts[5], *p110 = pts[6], *p111 = pts[7];
-static void rb_update_transform( rigidbody *rb )
-{
- q_normalize( rb->q );
- q_m3x3( rb->q, rb->to_world );
- v3_copy( rb->co, rb->to_world[3] );
+ p000[0]=rba->bbx[0][0];p000[1]=rba->bbx[0][1];p000[2]=rba->bbx[0][2];
+ p001[0]=rba->bbx[0][0];p001[1]=rba->bbx[0][1];p001[2]=rba->bbx[1][2];
+ p010[0]=rba->bbx[0][0];p010[1]=rba->bbx[1][1];p010[2]=rba->bbx[0][2];
+ p011[0]=rba->bbx[0][0];p011[1]=rba->bbx[1][1];p011[2]=rba->bbx[1][2];
+ p100[0]=rba->bbx[1][0];p100[1]=rba->bbx[0][1];p100[2]=rba->bbx[0][2];
+ p101[0]=rba->bbx[1][0];p101[1]=rba->bbx[0][1];p101[2]=rba->bbx[1][2];
+ p110[0]=rba->bbx[1][0];p110[1]=rba->bbx[1][1];p110[2]=rba->bbx[0][2];
+ p111[0]=rba->bbx[1][0];p111[1]=rba->bbx[1][1];p111[2]=rba->bbx[1][2];
- m4x3_invert_affine( rb->to_world, rb->to_local );
+ int count = 0;
+ for( int i=0; i<8; i++ )
+ {
+ m4x3_mulv( rba->to_world, pts[i], pts[i] );
- box_copy( rb->bbx, rb->bbx_world );
- m4x3_transform_aabb( rb->to_world, rb->bbx_world );
+ vg_line_pt3( pts[i], 0.1f, 0xffff00ff );
+
+ if( pts[i][1] < 0.0f )
+ {
+ rb_ct *ct = buf+count;
+
+ v3_copy( (v3f){0.0f,1.0f,0.0f}, ct->n );
+ v3_copy( pts[i], ct->co );
+
+ ct->p = 0.0f-pts[i][1];
+ ct->rba = rba;
+ ct->rbb = rbb;
+ count ++;
+ }
+ }
+
+#endif
+
+ return count;
}
-static void rb_init( rigidbody *rb )
+static int RB_MATRIX_ERROR( rigidbody *rba, rigidbody *rbb, rb_ct *buf )
{
- q_identity( rb->q );
- v3_zero( rb->v );
- v3_zero( rb->I );
+ vg_error( "Collision type is unimplemented between types %d and %d\n",
+ rba->type, rbb->type );
- v3f dims;
- v3_sub( rb->bbx[1], rb->bbx[0], dims );
+ return 0;
+}
- rb->inv_mass = 1.0f/(8.0f*dims[0]*dims[1]*dims[2]);
+static int rb_sphere_vs_capsule( rigidbody *rba, rigidbody *rbb, rb_ct *buf )
+{
+ return rb_capsule_vs_sphere( rbb, rba, buf );
+}
- rb_update_transform( rb );
+static int rb_box_vs_capsule( rigidbody *rba, rigidbody *rbb, rb_ct *buf )
+{
+ return rb_capsule_vs_box( rbb, rba, buf );
}
-static void rb_iter( rigidbody *rb )
+static int rb_box_vs_sphere( rigidbody *rba, rigidbody *rbb, rb_ct *buf )
{
- v3f gravity = { 0.0f, -9.6f, 0.0f };
- v3_muladds( rb->v, gravity, k_rb_delta, rb->v );
+ return rb_sphere_vs_box( rbb, rba, buf );
+}
- /* intergrate velocity */
- v3_muladds( rb->co, rb->v, k_rb_delta, rb->co );
+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_scene_vs_box, RB_MATRIX_ERROR, RB_MATRIX_ERROR, RB_MATRIX_ERROR }
+};
- v3_lerp( rb->I, (v3f){0.0f,0.0f,0.0f}, 0.0025f, rb->I );
+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;
+ }
- /* inegrate inertia */
- if( v3_length2( rb->I ) > 0.0f )
+ /*
+ * TODO: Replace this with a more dedicated broad phase pass
+ */
+ if( box_overlap( rba->bbx_world, rbb->bbx_world ) )
{
- v4f rotation;
- v3f axis;
- v3_copy( rb->I, axis );
-
- float mag = v3_length( axis );
- v3_divs( axis, mag, axis );
- q_axis_angle( rotation, axis, mag*k_rb_delta );
- q_mul( rotation, rb->q, rb->q );
+ int count = collider_jump( rba, rbb, rb_contact_buffer+rb_contact_count);
+ rb_contact_count += count;
+ return count;
}
+ else
+ return 0;
}
-static void rb_torque( rigidbody *rb, v3f axis, float mag )
+/*
+ * Generic functions
+ */
+
+#ifdef RB_DEPR
+/*
+ * This function does not accept triangle as a dynamic object, it is assumed
+ * to always be static.
+ *
+ * The triangle is also assumed to be one sided for better detection
+ */
+static int rb_sphere_vs_triangle( rigidbody *rba, v3f tri[3], rb_ct *buf )
{
- v3_muladds( rb->I, axis, mag*k_rb_delta, rb->I );
+ v3f delta, co;
+
+ closest_on_triangle( rba->co, tri, co );
+ v3_sub( rba->co, co, delta );
+
+ float d2 = v3_length2( delta ),
+ r = rba->inf.sphere.radius;
+
+ if( d2 < r*r )
+ {
+ v3f ab, ac, tn;
+ v3_sub( tri[1], tri[0], ab );
+ v3_sub( tri[2], tri[0], ac );
+ v3_cross( ac, ab, tn );
+
+ if( v3_dot( delta, tn ) > 0.0f )
+ v3_muls( delta, -1.0f, delta );
+
+ float d = sqrtf(d2);
+
+ rb_ct *ct = buf;
+ v3_muls( delta, 1.0f/d, ct->n );
+ v3_copy( co, ct->co );
+ ct->p = r-d;
+ ct->rba = rba;
+ ct->rbb = &rb_static_null;
+ return 1;
+ }
+
+ return 0;
}
-static void rb_tangent_basis( v3f n, v3f tx, v3f ty )
+static int sphere_vs_triangle( v3f c, float r, v3f tri[3],
+ v3f co, v3f norm, float *p )
{
- /* Compute tangent basis (box2d) */
- if( fabsf( n[0] ) >= 0.57735027f )
+ v3f delta;
+ closest_on_triangle( c, tri, co );
+
+ v3_sub( c, co, delta );
+
+
+ float d = v3_length2( delta );
+ if( d < r*r )
{
- tx[0] = n[1];
- tx[1] = -n[0];
- tx[2] = 0.0f;
+ v3f ab, ac, tn;
+ v3_sub( tri[1], tri[0], ab );
+ v3_sub( tri[2], tri[0], ac );
+ v3_cross( ac, ab, tn );
+
+ if( v3_dot( delta, tn ) > 0.0f )
+ v3_muls( delta, -1.0f, delta );
+
+ vg_line_pt3( co, 0.05f, 0xff00ff00 );
+
+ d = sqrtf(d);
+ v3_muls( delta, 1.0f/d, norm );
+
+ *p = r-d;
+ return 1;
}
- else
+
+ return 0;
+}
+
+#include "world.h"
+#endif
+
+static void rb_solver_reset(void)
+{
+ rb_contact_count = 0;
+}
+
+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) )
{
- tx[0] = 0.0f;
- tx[1] = n[2];
- tx[2] = -n[1];
+ vg_error( "rigidbody: too many contacts generated (%u)\n",
+ rb_contact_count );
+ return NULL;
}
- v3_normalize( tx );
- v3_cross( n, tx, ty );
+ return &rb_contact_buffer[ rb_contact_count ];
}
-#include "world.h"
+static void rb_commit_contact( struct contact *ct, float p )
+{
+ ct->bias = -0.2f*k_rb_rate*vg_minf(0.0f,-p+0.04f);
+ rb_tangent_basis( ct->n, ct->t[0], ct->t[1] );
-static void rb_manifold_reset( rigidbody *rb )
+ ct->norm_impulse = 0.0f;
+ ct->tangent_impulse[0] = 0.0f;
+ ct->tangent_impulse[1] = 0.0f;
+
+ rb_contact_count ++;
+}
+
+static void rb_build_manifold_terrain_sphere( rigidbody *rb )
{
- rb->manifold_count = 0;
+ u32 geo[256];
+ v3f tri[3];
+ int len = bh_select( &world.geo.bhtris, rb->bbx_world, geo, 256 );
+
+ for( int i=0; i<len; i++ )
+ {
+ u32 *ptri = &world.geo.indices[ geo[i]*3 ];
+
+ for( int j=0; j<3; j++ )
+ v3_copy( world.geo.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 );
+
+ v3f co, norm;
+ float p;
+
+ for( int j=0; j<2; j++ )
+ {
+ if( sphere_vs_triangle( rb->co, rb->inf.sphere.radius, tri,co,norm,&p))
+ {
+ struct contact *ct = rb_start_contact();
+
+ if( !ct )
+ return;
+
+ v3f p1;
+ v3_muladds( rb->co, norm, p, p1 );
+ vg_line( rb->co, p1, 0xffffffff );
+
+ ct->rba = rb;
+ v3_copy( co, ct->co );
+ v3_copy( norm, ct->n );
+ rb_commit_contact( ct, p );
+ }
+ }
+ }
+
}
static void rb_build_manifold_terrain( rigidbody *rb )
for( int i=0; i<8; i++ )
{
float *point = pts[i];
- struct contact *ct = &rb->manifold[rb->manifold_count];
+ struct contact *ct = rb_start_contact();
+
+ if( !ct )
+ return;
+
+ ct->rba = rb;
v3f surface;
v3_copy( point, surface );
if( !ray_world( surface, (v3f){0.0f,-1.0f,0.0f}, &hit ))
continue;
- v3_copy( hit.normal, ct->n );
v3_copy( hit.pos, surface );
float p = vg_minf( surface[1] - point[1], 1.0f );
if( p > 0.0f )
{
+ v3_copy( hit.normal, ct->n );
v3_add( point, surface, ct->co );
v3_muls( ct->co, 0.5f, ct->co );
- //vg_line_pt3( ct->co, 0.0125f, 0xff0000ff );
-
- v3_sub( ct->co, rb->co, ct->delta );
- ct->bias = -0.2f * (1.0f/k_rb_delta) * vg_minf( 0.0f, -p+0.04f );
- 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;
-
- rb->manifold_count ++;
+ rb_commit_contact( ct, p );
count ++;
if( count == 4 )
break;
}
}
}
+#endif
+
+/*
+ * Initializing things like tangent vectors
+ */
+
+static void rb_presolve_contacts( rb_ct *buffer, int len )
+{
+ for( int i=0; i<len; i++ )
+ {
+ rb_ct *ct = &buffer[i];
+ ct->bias = -0.2f * k_rb_rate * vg_minf(0.0f,-ct->p+0.04f);
+ 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);
+
+ rb_debug_contact( ct );
+ }
+}
-static void rb_constraint_manifold( rigidbody *rb )
+/*
+ * Creates relative contact velocity vector, and offsets between each body
+ */
+static void rb_rcv( rb_ct *ct, v3f rv, v3f da, v3f db )
+{
+ rigidbody *rba = ct->rba,
+ *rbb = ct->rbb;
+
+ v3_sub( ct->co, rba->co, da );
+ v3_sub( ct->co, rbb->co, db );
+
+ v3f rva, rvb;
+ v3_cross( rba->w, da, rva );
+ v3_add( rba->v, rva, rva );
+ v3_cross( rbb->w, db, rvb );
+ v3_add( rbb->v, rvb, rvb );
+
+ v3_sub( rva, rvb, rv );
+}
+
+/*
+ * Apply regular and angular velocity impulses to objects involved in contact
+ */
+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 );
+
+ /* Angular velocity */
+ v3f wa, wb;
+ v3_cross( da, ia, wa );
+ v3_cross( db, ib, wb );
+ v3_add( rba->w, wa, rba->w );
+ v3_add( rbb->w, wb, rbb->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 = 0.5f;
/* Friction Impulse */
- for( int i=0; i<rb->manifold_count; i++ )
+ for( int i=0; i<len; i++ )
{
- struct contact *ct = &rb->manifold[i];
+ struct contact *ct = &buf[i];
+ rigidbody *rb = ct->rba;
- v3f dv;
- v3_cross( rb->I, ct->delta, dv );
- v3_add( rb->v, dv, dv );
+ v3f rv, da, db;
+ rb_rcv( ct, rv, da, db );
for( int j=0; j<2; j++ )
{
- float vt = vg_clampf( -v3_dot( dv, ct->t[j] ),
- -k_friction, k_friction );
-
- vt = -v3_dot( dv, ct->t[j] );
+ float f = k_friction * ct->norm_impulse,
+ vt = -v3_dot( rv, ct->t[j] );
float temp = ct->tangent_impulse[j];
- ct->tangent_impulse[j] = vg_clampf( temp+vt, -k_friction, k_friction );
+ ct->tangent_impulse[j] = vg_clampf( temp+vt, -f, f );
vt = ct->tangent_impulse[j] - temp;
v3f impulse;
-
v3_muls( ct->t[j], vt, impulse );
- v3_add( impulse, rb->v, rb->v );
- v3_cross( ct->delta, impulse, impulse );
- v3_add( impulse, rb->I, rb->I );
+ rb_standard_impulse( ct, da, db, impulse );
}
}
/* Normal Impulse */
- for( int i=0; i<rb->manifold_count; i++ )
+ for( int i=0; i<len; i++ )
{
- struct contact *ct = &rb->manifold[i];
+ struct contact *ct = &buf[i];
+ rigidbody *rba = ct->rba,
+ *rbb = ct->rbb;
- v3f dv;
- v3_cross( rb->I, ct->delta, dv );
- v3_add( rb->v, dv, dv );
+ v3f rv, da, db;
+ rb_rcv( ct, rv, da, db );
- float vn = -v3_dot( dv, ct->n );
- vn += ct->bias;
+ float vn = -v3_dot( rv, ct->n ) + ct->bias;
float temp = ct->norm_impulse;
ct->norm_impulse = vg_maxf( temp + vn, 0.0f );
vn = ct->norm_impulse - temp;
v3f impulse;
-
v3_muls( ct->n, vn, impulse );
- v3_add( impulse, rb->v, rb->v );
- v3_cross( ct->delta, impulse, impulse );
- v3_add( impulse, rb->I, rb->I );
+ rb_standard_impulse( ct, da, db, impulse );
}
}
+/*
+ * The following ventures into not really very sophisticated at all maths
+ */
+
struct rb_angle_limit
{
rigidbody *rba, *rbb;
}
-
-RB_DEPR
static void rb_constraint_angle( rigidbody *rba, v3f va,
rigidbody *rbb, v3f vb,
float max, float spring )
v3f axis;
v3_cross( wva, wvb, axis );
- v3_muladds( rba->I, axis, ang*spring*0.5f, rba->I );
- v3_muladds( rbb->I, axis, -ang*spring*0.5f, rbb->I );
+ v3_muladds( rba->w, axis, ang*spring*0.5f, rba->w );
+ v3_muladds( rbb->w, axis, -ang*spring*0.5f, rbb->w );
return;
v3_sub( ra->v, rb->v, rcv );
v3f rcv_Ra, rcv_Rb;
- v3_cross( ra->I, wca, rcv_Ra );
- v3_cross( rb->I, wcb, 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 );
}
v3_sub( ra->v, rb->v, rcv );
v3f rcv_Ra, rcv_Rb;
- v3_cross( ra->I, wca, rcv_Ra );
- v3_cross( rb->I, wcb, 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 );
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->I, rb->I );
+ v3_add( impulse, rb->w, rb->w );
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->I, ra->I );
+ v3_add( impulse, ra->w, ra->w );
#if 0
+ /*
+ * this could be used for spring joints
+ * its not good for position constraint
+ */
v3f impulse;
v3_muls( delta, 0.5f*spring, impulse );
v3_add( impulse, ra->v, ra->v );
v3_cross( wca, impulse, impulse );
- v3_add( impulse, ra->I, ra->I );
+ v3_add( impulse, ra->w, ra->w );
v3_muls( delta, -0.5f*spring, impulse );
v3_add( impulse, rb->v, rb->v );
v3_cross( wcb, impulse, impulse );
- v3_add( impulse, rb->I, rb->I );
+ v3_add( impulse, rb->w, rb->w );
#endif
}
-static void rb_debug( rigidbody *rb, u32 colour )
+static void debug_sphere( m4x3f m, float radius, u32 colour )
{
- v3f *box = rb->bbx;
- v3f p000, p001, p010, p011, p100, p101, p110, p111;
-
- p000[0]=box[0][0];p000[1]=box[0][1];p000[2]=box[0][2];
- p001[0]=box[0][0];p001[1]=box[0][1];p001[2]=box[1][2];
- p010[0]=box[0][0];p010[1]=box[1][1];p010[2]=box[0][2];
- p011[0]=box[0][0];p011[1]=box[1][1];p011[2]=box[1][2];
-
- p100[0]=box[1][0];p100[1]=box[0][1];p100[2]=box[0][2];
- p101[0]=box[1][0];p101[1]=box[0][1];p101[2]=box[1][2];
- p110[0]=box[1][0];p110[1]=box[1][1];p110[2]=box[0][2];
- p111[0]=box[1][0];p111[1]=box[1][1];p111[2]=box[1][2];
+ v3f ly = { 0.0f, 0.0f, radius },
+ lx = { 0.0f, radius, 0.0f },
+ lz = { 0.0f, 0.0f, radius };
+
+ for( int i=0; i<16; i++ )
+ {
+ float t = ((float)(i+1) * (1.0f/16.0f)) * VG_PIf * 2.0f,
+ s = sinf(t),
+ c = cosf(t);
+
+ v3f py = { s*radius, 0.0f, c*radius },
+ px = { s*radius, c*radius, 0.0f },
+ pz = { 0.0f, s*radius, c*radius };
+
+ v3f p0, p1, p2, p3, p4, p5;
+ m4x3_mulv( m, py, p0 );
+ m4x3_mulv( m, ly, p1 );
+ m4x3_mulv( m, px, p2 );
+ m4x3_mulv( m, lx, p3 );
+ m4x3_mulv( m, pz, p4 );
+ m4x3_mulv( m, lz, p5 );
+
+ vg_line( p0, p1, colour == 0x00? 0xff00ff00: colour );
+ vg_line( p2, p3, colour == 0x00? 0xff0000ff: colour );
+ vg_line( p4, p5, colour == 0x00? 0xffff0000: colour );
+
+ v3_copy( py, ly );
+ v3_copy( px, lx );
+ v3_copy( pz, lz );
+ }
+}
- m4x3_mulv( rb->to_world, p000, p000 );
- m4x3_mulv( rb->to_world, p001, p001 );
- m4x3_mulv( rb->to_world, p010, p010 );
- m4x3_mulv( rb->to_world, p011, p011 );
- m4x3_mulv( rb->to_world, p100, p100 );
- m4x3_mulv( rb->to_world, p101, p101 );
- m4x3_mulv( rb->to_world, p110, p110 );
- m4x3_mulv( rb->to_world, p111, p111 );
+static void debug_capsule( m4x3f m, float radius, float h, u32 colour )
+{
+ v3f ly = { 0.0f, 0.0f, radius },
+ lx = { 0.0f, radius, 0.0f },
+ lz = { 0.0f, 0.0f, radius };
+
+ float s0 = sinf(0.0f)*radius,
+ c0 = cosf(0.0f)*radius;
+
+ v3f p0, p1, up, right, forward;
+ m3x3_mulv( m, (v3f){0.0f,1.0f,0.0f}, up );
+ m3x3_mulv( m, (v3f){1.0f,0.0f,0.0f}, right );
+ m3x3_mulv( m, (v3f){0.0f,0.0f,-1.0f}, forward );
+ v3_muladds( m[3], up, -h*0.5f+radius, p0 );
+ v3_muladds( m[3], up, h*0.5f-radius, p1 );
+
+ v3f a0, a1, b0, b1;
+ v3_muladds( p0, right, radius, a0 );
+ v3_muladds( p1, right, radius, a1 );
+ v3_muladds( p0, forward, radius, b0 );
+ v3_muladds( p1, forward, radius, b1 );
+ vg_line( a0, a1, colour );
+ vg_line( b0, b1, colour );
+
+ v3_muladds( p0, right, -radius, a0 );
+ v3_muladds( p1, right, -radius, a1 );
+ v3_muladds( p0, forward, -radius, b0 );
+ v3_muladds( p1, forward, -radius, b1 );
+ vg_line( a0, a1, colour );
+ vg_line( b0, b1, colour );
- vg_line( p000, p001, colour );
- vg_line( p001, p011, colour );
- vg_line( p011, p010, colour );
- vg_line( p010, p000, colour );
+ for( int i=0; i<16; i++ )
+ {
+ float t = ((float)(i+1) * (1.0f/16.0f)) * VG_PIf * 2.0f,
+ s1 = sinf(t)*radius,
+ c1 = cosf(t)*radius;
+
+ v3f e0 = { s0, 0.0f, c0 },
+ e1 = { s1, 0.0f, c1 },
+ e2 = { s0, c0, 0.0f },
+ e3 = { s1, c1, 0.0f },
+ e4 = { 0.0f, c0, s0 },
+ e5 = { 0.0f, c1, s1 };
+
+ m3x3_mulv( m, e0, e0 );
+ m3x3_mulv( m, e1, e1 );
+ m3x3_mulv( m, e2, e2 );
+ m3x3_mulv( m, e3, e3 );
+ m3x3_mulv( m, e4, e4 );
+ m3x3_mulv( m, e5, e5 );
+
+ v3_add( p0, e0, a0 );
+ v3_add( p0, e1, a1 );
+ v3_add( p1, e0, b0 );
+ v3_add( p1, e1, b1 );
+
+ vg_line( a0, a1, colour );
+ vg_line( b0, b1, colour );
+
+ if( c0 < 0.0f )
+ {
+ v3_add( p0, e2, a0 );
+ v3_add( p0, e3, a1 );
+ v3_add( p0, e4, b0 );
+ v3_add( p0, e5, b1 );
+ }
+ else
+ {
+ v3_add( p1, e2, a0 );
+ v3_add( p1, e3, a1 );
+ v3_add( p1, e4, b0 );
+ v3_add( p1, e5, b1 );
+ }
- vg_line( p100, p101, colour );
- vg_line( p101, p111, colour );
- vg_line( p111, p110, colour );
- vg_line( p110, p100, colour );
+ vg_line( a0, a1, colour );
+ vg_line( b0, b1, colour );
- vg_line( p100, p000, colour );
- vg_line( p101, p001, colour );
- vg_line( p110, p010, colour );
- vg_line( p111, p011, colour );
+ s0 = s1;
+ c0 = c1;
+ }
+}
+
+static void rb_debug( rigidbody *rb, u32 colour )
+{
+ if( rb->type == k_rb_shape_box )
+ {
+ v3f *box = rb->bbx;
+ vg_line_boxf_transformed( rb->to_world, rb->bbx, colour );
+ }
+ else if( rb->type == k_rb_shape_sphere )
+ {
+ debug_sphere( rb->to_world, rb->inf.sphere.radius, colour );
+ }
+ else if( rb->type == k_rb_shape_capsule )
+ {
+ m4x3f m0, m1;
+ float h = rb->inf.capsule.height,
+ r = rb->inf.capsule.radius;
- vg_line( p000, p110, colour );
- vg_line( p100, p010, 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
*/
return 0;
}
-static void rb_build_manifold_rb_static( rigidbody *ra, rigidbody *rb_static )
-{
- v3f verts[8];
-
- v3f a, b;
- v3_copy( ra->bbx[0], a );
- v3_copy( ra->bbx[1], b );
-
- m4x3_mulv( ra->to_world, (v3f){ a[0], a[1], a[2] }, verts[0] );
- m4x3_mulv( ra->to_world, (v3f){ a[0], b[1], a[2] }, verts[1] );
- m4x3_mulv( ra->to_world, (v3f){ b[0], b[1], a[2] }, verts[2] );
- m4x3_mulv( ra->to_world, (v3f){ b[0], a[1], a[2] }, verts[3] );
- m4x3_mulv( ra->to_world, (v3f){ a[0], a[1], b[2] }, verts[4] );
- m4x3_mulv( ra->to_world, (v3f){ a[0], b[1], b[2] }, verts[5] );
- m4x3_mulv( ra->to_world, (v3f){ b[0], b[1], b[2] }, verts[6] );
- m4x3_mulv( ra->to_world, (v3f){ b[0], a[1], b[2] }, verts[7] );
-
- int count = 0;
-
- for( int i=0; i<8; i++ )
- {
- if( ra->manifold_count == vg_list_size(ra->manifold) )
- return;
-
- struct contact *ct = &ra->manifold[ ra->manifold_count ];
-
- float p;
- v3f normal;
-
- if( rb_point_in_body( rb_static, verts[i], &p, normal ))
- {
- v3_copy( normal, ct->n );
- v3_muladds( verts[i], ct->n, p*0.5f, ct->co );
- v3_sub( ct->co, ra->co, ct->delta );
-
- vg_line_pt3( ct->co, 0.0125f, 0xffff00ff );
-
- ct->bias = -0.2f * (1.0f/k_rb_delta) * vg_minf( 0.0f, -p+0.04f );
- 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;
-
- ra->manifold_count ++;
- count ++;
- if( count == 4 )
- return;
- }
- }
-}
-
/*
* BVH implementation, this is ONLY for static rigidbodies, its to slow for
* realtime use.
.item_centroid = rb_bh_centroid,
.item_swap = rb_bh_swap,
.item_debug = rb_bh_debug,
- .cast_ray = NULL,
-
- .item_size = sizeof(rigidbody)
+ .cast_ray = NULL
};
+#endif
+
#endif /* RIGIDBODY_H */