ref: 7cae5c12e578dda726a08a6e97e01b19914e9248
dir: /include-demo/chadphys.h/
#ifndef CHAD_PHYS_H #define CHAD_PHYS_H #include "3dMath.h" typedef struct { aabb shape; //c.d[3] is sphere radius. //if it's zero or less, it's not a sphere, it's a box f_ mass; //0 means kinematic, or static. Defaults to zero. f_ bounciness; //default 0, put portion of displacement into velocity. f_ airfriction; //default 1, multiplied by velocity every time timestep. f_ friction; //default 0.1 mat4 localt; //Local Transform. vec3 v; //velocity vec3 a; //Body specific acceleration, combined with gravity void* d; //User defined pointer. } phys_body; typedef struct{ phys_body* abodies; //mass non-zero phys_body* sbodies; //mass zero uint nabodies; //number of abodies uint nsbodies; //number of sbodies vec3 g; //gravity f_ ms; //max speed } phys_world; //TODO: implement functions static inline void initPhysBody(phys_body* body){ body->shape = (aabb){ .c=(vec4){.d[0] = 0,.d[1] = 0,.d[2] = 0,.d[3] = 0}, .e=(vec3){.d[0] = 0,.d[1] = 0,.d[2] = 0} }; body->mass = 0; body->bounciness = 0; body->friction = 0.99; //The amount of coplanar velocity preserved in collisions. body->airfriction = 1.0; body->a = (vec3){.d[0] = 0,.d[1] = 0,.d[2] = 0}; body->localt = identitymat4(); body->d = NULL; } static inline mat4 getPhysBodyRenderTransform(phys_body* body){ return multm4( translate(downv4(body->shape.c)), body->localt ); } //Check for and, if necessary, resolve colliding bodies. static inline void resolveBodies(phys_body* a, phys_body* b){ if(a->mass <= 0 && b->mass <= 0) return; //Perform a preliminary check. Do we even have to do anything? vec4 penvec = (vec4){ .d[0]=0, .d[1]=0, .d[2]=0, .d[3]=0 }; //Check if the two bodies are colliding. if(a->shape.c.d[3] > 0 && b->shape.c.d[3] > 0) //Both Spheres! { penvec = spherevsphere(a->shape.c, b->shape.c); } else if(a->shape.c.d[3] <= 0 && b->shape.c.d[3] <= 0) //Both boxes! { penvec = boxvbox(a->shape,b->shape); } else if (a->shape.c.d[3] > 0 && b->shape.c.d[3] <= 0) //a is a sphere, b is a box { penvec = spherevaabb(a->shape.c,b->shape); } else if (a->shape.c.d[3] <= 0 && b->shape.c.d[3] > 0){ //a is a box, b is a sphere penvec = spherevaabb(b->shape.c,a->shape); penvec.d[0] *= -1; penvec.d[1] *= -1; penvec.d[2] *= -1; } else { #ifdef CHADPHYS_DEBUG puts("\nInvalid configuration. Error.\n"); #endif } if(penvec.d[3] <= 0) return; //No penetration detected, or invalid configuration. vec3 penvecnormalized = scalev3(1.0/penvec.d[3], downv4(penvec)); //the penetration vector points into B... float friction = a->friction * b->friction; //We now have the penetration vector. There is a penetration. //determine how much each should be displaced by. //The penvec points INTO A and is of length penvec.d[3] float bdisplacefactor = a->mass / (a->mass + b->mass), adisplacefactor = b->mass / (a->mass + b->mass); vec3 comvel; if(!(a->mass > 0)) { adisplacefactor = 0; bdisplacefactor = 1;comvel = (vec3){{0,0,0}}; }else if(!(b->mass > 0)) { bdisplacefactor = 0; adisplacefactor = 1;comvel = (vec3){{0,0,0}}; }else{ comvel = addv3( scalev3(bdisplacefactor, a->v), scalev3(adisplacefactor, b->v)); } if(a->mass > 0){ vec4 displacea = scalev4(-adisplacefactor, penvec); vec3 a_relvel = subv3(a->v, comvel); vec3 a_planarvel = subv3(a_relvel, scalev3( dotv3(a_relvel, penvecnormalized), penvecnormalized ) ); a->shape.c.d[0] += displacea.d[0]; a->shape.c.d[1] += displacea.d[1]; a->shape.c.d[2] += displacea.d[2]; a->v = addv3( comvel, scalev3(1-friction, a_planarvel) ); //The center of mass velocity, plus a portion of coplanar velocity. a->v = addv3(a->v, scalev3( a->bounciness, downv4(displacea) ) ); } if(b->mass > 0){ vec4 displaceb = scalev4(bdisplacefactor, penvec); vec3 b_relvel = subv3(b->v, comvel); vec3 b_planarvel = subv3(b_relvel, //brelvel - portion of brelvel in the direction of penvecnormalized scalev3( dotv3(b_relvel, penvecnormalized), //the component in that direction penvecnormalized //that direction ) ); b->shape.c.d[0] += displaceb.d[0]; b->shape.c.d[1] += displaceb.d[1]; b->shape.c.d[2] += displaceb.d[2]; b->v = addv3(comvel, scalev3(1-friction, b_planarvel) ); //The center of mass velocity, plus a portion of coplanar velocity. b->v = addv3(b->v, scalev3( b->bounciness, downv4(displaceb) ) ); } } #endif