294 lines
7.3 KiB
Odin
294 lines
7.3 KiB
Odin
package physics
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import "collision"
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import "core:fmt"
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import "core:math"
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import lg "core:math/linalg"
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import rl "vendor:raylib"
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_ :: math
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_ :: fmt
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Solver_Config :: struct {
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// Will automatically do fixed timestep
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timestep: f32,
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gravity: rl.Vector3,
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substreps_minus_one: i32,
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}
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Solver_State :: struct {
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accumulated_time: f32,
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// Incremented when simulate is called (not simulate_step)
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simulation_frame: u32,
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// Number of immediate bodies referenced this frame
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num_referenced_bodies: i32,
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num_referenced_suspension_constraints: i32,
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immedate_bodies: map[u32]Immedate_State(Body_Handle),
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immediate_suspension_constraints: map[u32]Immedate_State(Suspension_Constraint_Handle),
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}
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destroy_solver_state :: proc(state: ^Solver_State) {
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delete(state.immedate_bodies)
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delete(state.immediate_suspension_constraints)
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}
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Immedate_State :: struct($T: typeid) {
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handle: T,
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// When was this referenced last time (frame number)
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last_ref: u32,
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}
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// Outer simulation loop for fixed timestepping
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simulate :: proc(scene: ^Scene, state: ^Solver_State, config: Solver_Config, dt: f32) {
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assert(config.timestep > 0)
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prune_immediate(scene, state)
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state.accumulated_time += dt
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num_steps := 0
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for state.accumulated_time >= config.timestep {
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num_steps += 1
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state.accumulated_time -= config.timestep
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simulate_step(scene, config)
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}
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state.simulation_frame += 1
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state.num_referenced_bodies = 0
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state.num_referenced_suspension_constraints = 0
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}
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Body_Sim_State :: struct {
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prev_x: rl.Vector3,
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prev_q: rl.Quaternion,
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}
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simulate_step :: proc(scene: ^Scene, config: Solver_Config) {
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body_states := make([]Body_Sim_State, len(scene.bodies), context.temp_allocator)
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substeps := config.substreps_minus_one + 1
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dt := config.timestep / f32(substeps)
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inv_dt := 1.0 / dt
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for _ in 0 ..< substeps {
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// Integrate positions and rotations
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for &body, i in scene.bodies {
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if body.alive {
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body_states[i].prev_x = body.x
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body.v += config.gravity * dt
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body.x += body.v * dt
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body_states[i].prev_q = body.q
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// TODO: Probably can do it using built in quaternion math but I have no idea how it works
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// NOTE: figure out how this works https://fgiesen.wordpress.com/2012/08/24/quaternion-differentiation/
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q := body.q
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w := body.w
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delta_rot := quaternion(x = w.x, y = w.y, z = w.z, w = 0)
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delta_rot = delta_rot * q
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q.x += 0.5 * dt * delta_rot.x
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q.y += 0.5 * dt * delta_rot.y
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q.z += 0.5 * dt * delta_rot.z
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q.w += 0.5 * dt * delta_rot.w
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q = lg.normalize0(q)
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body.q = q
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}
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}
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for &v in scene.suspension_constraints {
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if v.alive {
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body := get_body(scene, v.body)
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pos := body_local_to_world(body, v.rel_pos)
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dir := body_local_to_world_vec(body, v.rel_dir)
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pos2 := pos + dir * v.rest
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v.hit_t, v.hit_point, v.hit = collision.intersect_segment_plane(
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{pos, pos2},
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collision.plane_from_point_normal({}, collision.Vec3{0, 1, 0}),
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)
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if v.hit {
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corr := v.hit_point - pos
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distance := lg.length(corr)
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corr = corr / distance if distance > 0 else 0
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apply_constraint_correction_unilateral(
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dt,
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body,
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v.compliance,
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error = distance - v.rest,
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error_gradient = corr,
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pos = pos,
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other_combined_inv_mass = 0,
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)
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}
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}
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}
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solve_velocities(scene, body_states, inv_dt)
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// Solve suspension velocity
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for _, i in scene.suspension_constraints {
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v := &scene.suspension_constraints_slice[i]
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if v.alive {
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body_idx := int(v.body) - 1
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body := get_body(scene, v.body)
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if body.alive && v.hit {
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prev_x, prev_q := body_states[body_idx].prev_x, body_states[body_idx].prev_q
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wheel_world_pos := body_local_to_world(body, v.rel_pos)
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prev_wheel_world_pos := prev_x + lg.quaternion_mul_vector3(prev_q, v.rel_pos)
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vel_3d := (wheel_world_pos - prev_wheel_world_pos) * inv_dt
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dir := body_local_to_world_vec(body, v.rel_dir)
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body_state := body_states[i32(v.body) - 1]
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// Spring damping
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if true {
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vel := lg.dot(vel_3d, dir)
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damping := -vel * min(v.damping * dt, 1)
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apply_constraint_correction_unilateral(
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dt,
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body,
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0,
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error = damping,
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error_gradient = dir,
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pos = wheel_world_pos,
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)
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body_solve_velocity(body, body_state, inv_dt)
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}
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// Drive forces
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if true {
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total_impulse := v.drive_impulse - v.brake_impulse
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forward := body_local_to_world_vec(body, rl.Vector3{0, 0, 1})
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apply_constraint_correction_unilateral(
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dt,
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body,
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0,
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total_impulse * dt * dt,
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forward,
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wheel_world_pos,
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)
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body_solve_velocity(body, body_state, inv_dt)
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}
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// Lateral friction
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if true {
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local_contact_pos := v.hit_point - body.x
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vel_contact := body_velocity_at_local_point(body, local_contact_pos)
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right := wheel_get_right_vec(body, v)
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lateral_vel := lg.dot(right, vel_contact)
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friction := f32(0.5)
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impulse := -lateral_vel * friction
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corr := right * impulse * dt
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v.applied_impulse.x = impulse
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apply_correction(body, corr, v.hit_point)
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body_solve_velocity(body, body_state, inv_dt)
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}
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}
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}
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}
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}
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}
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solve_velocities :: proc(scene: ^Scene, body_states: []Body_Sim_State, inv_dt: f32) {
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// Compute new linear and angular velocities
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for _, i in scene.bodies_slice {
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body := &scene.bodies_slice[i]
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if body.alive {
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body_solve_velocity(body, body_states[i], inv_dt)
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}
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}
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}
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body_solve_velocity :: #force_inline proc(body: Body_Ptr, state: Body_Sim_State, inv_dt: f32) {
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body.v = (body.x - state.prev_x) * inv_dt
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delta_q := body.q * lg.quaternion_inverse(state.prev_q)
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body.w = rl.Vector3{delta_q.x, delta_q.y, delta_q.z} * 2.0 * inv_dt
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if delta_q.w < 0 {
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body.w = -body.w
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}
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}
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apply_constraint_correction_unilateral :: proc(
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dt: f32,
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body: Body_Ptr,
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compliance: f32,
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error: f32,
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error_gradient: rl.Vector3,
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pos: rl.Vector3,
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other_combined_inv_mass: f32 = 0,
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) {
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if error == 0 {
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return
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}
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w := get_body_inverse_mass(body, error_gradient, pos)
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w += other_combined_inv_mass
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if w == 0 {
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return
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}
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alpha := compliance / dt / dt
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lambda := -error / (w + alpha)
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delta_pos := error_gradient * -lambda
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apply_correction(body, delta_pos, pos)
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}
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apply_correction :: proc(body: Body_Ptr, corr: rl.Vector3, pos: rl.Vector3) {
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body.x += corr * body.inv_mass
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q := body.q
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inv_q := lg.quaternion_normalize0(lg.quaternion_inverse(q))
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delta_omega := pos - body.x
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delta_omega = lg.cross(delta_omega, corr)
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delta_omega = lg.quaternion_mul_vector3(inv_q, delta_omega)
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delta_omega *= body.inv_inertia_tensor
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delta_omega = lg.quaternion_mul_vector3(q, delta_omega)
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delta_rot := quaternion(x = delta_omega.x, y = delta_omega.y, z = delta_omega.z, w = 0)
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delta_rot *= q
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q.x += 0.5 * delta_rot.x
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q.y += 0.5 * delta_rot.y
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q.z += 0.5 * delta_rot.z
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q.w += 0.5 * delta_rot.w
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q = lg.normalize0(q)
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body.q = q
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}
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get_body_inverse_mass :: proc(body: Body_Ptr, normal, pos: rl.Vector3) -> f32 {
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q := body.q
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inv_q := lg.quaternion_normalize0(lg.quaternion_inverse(q))
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rn := pos - body.x
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rn = lg.cross(rn, normal)
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rn = lg.quaternion_mul_vector3(inv_q, rn)
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w :=
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rn.x * rn.x * body.inv_inertia_tensor.x +
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rn.y * rn.y * body.inv_inertia_tensor.y +
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rn.z * rn.z * body.inv_inertia_tensor.z
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w += body.inv_mass
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return w
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}
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