diff --git a/examples/Atlas/Project.toml b/examples/Atlas/Project.toml
new file mode 100644
index 0000000..0f84fdd
--- /dev/null
+++ b/examples/Atlas/Project.toml
@@ -0,0 +1,15 @@
+[deps]
+ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+HSL_jll = "017b0a0e-03f4-516a-9b91-836bbd1904dd"
+Ipopt = "b6b21f68-93f8-5de0-b562-5493be1d77c9"
+JLD2 = "033835bb-8acc-5ee8-8aae-3f567f8a3819"
+JuMP = "4076af6c-e467-56ae-b986-b466b2749572"
+MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
+MathProgIncidence = "892fab00-3092-4bd0-9c46-66676a93f84e"
+MeshCat = "283c5d60-a78f-5afe-a0af-af636b173e11"
+MeshCatMechanisms = "6ad125db-dd91-5488-b820-c1df6aab299d"
+Revise = "295af30f-e4ad-537b-8983-00126c2a3abe"
+RigidBodyDynamics = "366cf18f-59d5-5db9-a4de-86a9f6786172"
+Rotations = "6038ab10-8711-5258-84ad-4b1120ba62dc"
+SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
diff --git a/examples/Atlas/atlas_balancing.jl b/examples/Atlas/atlas_balancing.jl
new file mode 100644
index 0000000..2f24177
--- /dev/null
+++ b/examples/Atlas/atlas_balancing.jl
@@ -0,0 +1,411 @@
+using Revise
+using JLD2
+using SparseArrays
+using MathOptInterface.Nonlinear.SymbolicAD
+import MathOptInterface as MOI
+using JuMP, Ipopt, HSL_jll
+using LinearAlgebra
+
+# include(joinpath(@__DIR__, "../mpc_utils.jl"))
+include(joinpath(@__DIR__, "atlas_utils.jl"))
+
+# Setup model and visualizer
+atlas = Atlas();
+vis = Visualizer();
+mvis = init_visualizer(atlas, vis)
+
+# Load balanced reference
+@load joinpath(@__DIR__, "atlas_ref.jld2") x_ref u_ref;
+visualize!(atlas, mvis, x_ref)
+
+# Calculate discrete dynamics for a balanced position
+# h = 0.01;
+# Ad = FD.jacobian(x->rk4(atlas, x, u_ref, h), x_ref);
+# Bd = FD.jacobian(u->rk4(atlas, x_ref, u, h), u_ref);
+
+h = 0.01
+@time rk4(atlas, x_ref, u_ref, h)
+
+# # Simulate
+N = 300;
+X = [zeros(atlas.nx) for _ = 1:N];
+U = zeros(atlas.nu)
+X[1] = deepcopy(x_ref);
+X[1][atlas.nq + 5] = 1.3; # Perturb i.c.
+
+# Run simulation
+@time for k = 1:N - 1
+ # Integrate
+ global X[k + 1] = rk4(atlas, X[k], u_ref, h)
+end
+
+animate!(atlas, mvis, X, Δt=h);
+
+
+"""
+ memoize_dynamics_and_jacobian(foo, n_in, n_out)
+
+Returns an array of length `n_out`, where each element is a tuple
+`(scalar_fun, grad_fun!)`.
+
+- `scalar_fun(x...)` returns the i-th component of `foo(x...)` in normal calls (Float64).
+- In Dual/AD mode, it returns the i-th component but triggers a single Jacobian evaluation and caches it.
+
+- `grad_fun!(g, x...)` writes into `g` the partial derivatives of that i-th component w.r.t. x.
+
+All `n_out` scalar functions share the same cached value of the *entire* vector `foo(x...)`
+and the *entire* Jacobian for the last input `x...`.
+"""
+function memoize_dynamics_and_jacobian(foo::Function, n_in::Int, n_out::Int)
+ # Cache for normal (Float64) evaluation
+ last_x_f = nothing
+ last_f = nothing # Vector{Float64} from foo(x)
+
+ # Cache for AD (Dual) evaluation
+ last_x_J = nothing
+ last_f_J = nothing # Vector{Dual} from foo(x)
+ last_J = nothing # Matrix of partials (size n_out x n_in)
+
+ # Optional: pre-make a JacobianConfig if you like:
+ # x0 = zeros(n_in)
+ # jac_cfg = ForwardDiff.JacobianConfig(foo, x0)
+
+ # This local function returns the i-th scalar output for the given x...
+ # In normal Float64 calls, it returns last_f[i].
+ # In AD calls (Dual etc.), it ensures last_J is computed and returns last_f_J[i].
+ function f_i(i, x::Vararg{T}) where {T<:Real}
+ if T == Float64
+ # Normal evaluation mode
+ if x !== last_x_f
+ last_x_f = x
+ last_f = foo(x...)
+ end
+ return last_f[i]
+ else
+ # Dual/AD evaluation mode
+ if x !== last_x_J
+ last_x_J = x
+ # Evaluate all outputs
+ local x_vec = collect(x)
+ last_f_J = foo(x_vec...)
+
+ # Evaluate the entire Jacobian in one pass
+ # last_J = ForwardDiff.jacobian(z -> foo(z...), x_vec, jac_cfg)
+ last_J = ForwardDiff.jacobian(z -> foo(z...), x_vec)
+ end
+ # Return the i-th output (primal part).
+ return last_f_J[i]
+ end
+ end
+
+ # Now build an array of (scalar_fun, gradient_callback!) for each output dimension
+ result = Vector{Tuple{Function, Function}}(undef, n_out)
+ for i in 1:n_out
+ # 1) The scalar function to pass to JuMP
+ scalar_fun = (args...) -> f_i(i, args...)
+
+ # 2) The gradient callback that JuMP/Ipopt calls: we fill `g` with partial derivatives
+ # grad_fun! = (g, args...) -> begin
+ # # Make sure last_J is up to date for this x...
+ # _ = f_i(i, args...) # triggers AD if needed
+ # # Now fill g with row i of last_J
+ # @inbounds for col in 1:length(args)
+ # g[col] = last_J[i, col]
+ # end
+ # return
+ # end
+ grad_fun! = (g, args...) -> begin
+ if last_J === nothing
+ # We haven't computed the Jacobian yet, or we are in reverse mode.
+ # Manually call ForwardDiff now with `args` to get it:
+ xvec = collect(args)
+ # Evaluate the function for the primal:
+ last_f_J = foo(xvec...) # store if needed
+ last_J = ForwardDiff.jacobian(z -> foo(z...), xvec)
+ end
+ # Now fill g with row i of last_J
+ @inbounds for col in 1:length(args)
+ g[col] = last_J[i, col]
+ end
+ return
+ end
+
+ result[i] = (scalar_fun, grad_fun!)
+ end
+ return result
+end
+
+
+function atlas_dynamics(xu::T...) where {T<:Real}
+ h = 0.01
+ x = collect(xu[1:atlas.nx])
+ u = collect(xu[atlas.nx+1:end])
+ #return rk4(atlas, x, u, h)
+ return explicit_euler(atlas, x, u, h)
+end
+
+# Lets define a jump model that solves the MPC problem
+# min ∑_t ||x_t - x_ref||_2^2
+# s.t. x_{t+1} = rk4(x_t, u_t) : this needs to be a jump operator for which we will need to define a method to calculate the jacobian and hessian
+# u_min <= u_t <= u_max
+
+function build_and_solve_mpc(atlas_obj::Atlas, x_ref::Vector{Float64}, X_start::Vector{Float64}, N::Int; optimizer=optimizer_with_attributes(Ipopt.Optimizer,
+ # "print_level" => 0,
+ "hsllib" => HSL_jll.libhsl_path,
+ "linear_solver" => "MA27",
+ "max_iter" => 20,
+ )
+)
+ model = Model()
+ set_optimizer(model, optimizer)
+
+ # For demonstration, let's define:
+ # x[t=1:N, 1:atlas.nx]
+ # u[t=1:N-1, 1:atlas.nu]
+ @variable(model, x[1:N, 1:atlas_obj.nx])
+ @variable(model, -atlas_obj.torque_limits[i] <= u[t=1:N-1,i=1:atlas.nu] <= atlas.torque_limits[i])
+ # ^ adapt the indexing if torque_limits is an array of length nu, etc.
+
+ # Objective: sum of squared error from x_ref
+ @objective(model, Min, sum( (x[t,j] - x_ref[j])^2 for t in 2:N for j in 1:atlas_obj.nx ) )
+
+ # Build the memoized function array for the multi-output dynamics
+ # so we can call the i-th dimension of next state individually
+ #dyn_ops = memoize_dynamics_and_jacobian(atlas_dynamics,
+ # atlas_obj.nx + atlas_obj.nu,
+ # atlas_obj.nx)
+
+ VNO_dim = 2*atlas_obj.nx + atlas_obj.nu
+ # The input variable to this function:
+ # [ x[t+1,:], x[t,:], u[t,:] ]
+ jacobian_structure = Tuple{Int,Int}[]
+ append!(jacobian_structure, map(i -> (i,i), 1:atlas_obj.nx))
+ for i in 1:atlas_obj.nx, j in 1:(atlas_obj.nx + atlas_obj.nu)
+ push!(jacobian_structure, (i, j + atlas_obj.nx))
+ end
+ hessian_lagrangian_structure = [
+ (i, j)
+ for i in atlas_obj.nx+1:VNO_dim
+ for j in atlas_obj.nx+1:VNO_dim
+ ]
+ VNO = MOI.VectorNonlinearOracle(;
+ dimension = VNO_dim,
+ l = zeros(atlas_obj.nx),
+ u = zeros(atlas_obj.nx),
+ eval_f = (ret, x) -> begin
+ ret[1:atlas_obj.nx] .= x[1:atlas_obj.nx] - atlas_dynamics(x[atlas_obj.nx + 1:VNO_dim]...)
+ return
+ end,
+ jacobian_structure,
+ eval_jacobian = (ret, x) -> begin
+ dyn_jac = ForwardDiff.jacobian(x -> atlas_dynamics(x...), x[atlas_obj.nx + 1:VNO_dim])
+ jnnz = length(jacobian_structure)
+ ret[1:atlas_obj.nx] .= ones(atlas_obj.nx)
+ nx = atlas_obj.nx; nu = atlas_obj.nu
+ ret[atlas_obj.nx+1:jnnz] .= - reshape(dyn_jac', nx * (nx + nu))
+ return
+ end,
+ hessian_lagrangian_structure,
+ eval_hessian_lagrangian = (ret, x, λ) -> begin
+ hess = ForwardDiff.hessian(x -> dot(λ, atlas_dynamics(x...)), x[atlas_obj.nx + 1:VNO_dim])
+ hnnz = length(hessian_lagrangian_structure)
+ ret[1:hnnz] .= - reshape(hess, hnnz)
+ return
+ end
+ )
+ for t in 1:(N-1)
+ vars = vcat(x[t+1,:], x[t, :], u[t, :])
+ JuMP.@constraint(model, vars in VNO)
+ end
+
+ # Add constraints: x[t+1] = f(x[t], u[t]) for t=1 to N-1
+ #for t in 1:(N-1), i in 1:atlas_obj.nx
+ # scalar_fun, grad_fun! = dyn_ops[i]
+ # op = add_nonlinear_operator(
+ # model,
+ # atlas_obj.nx + atlas_obj.nu, # number of inputs
+ # scalar_fun, # f_i
+ # grad_fun!, # gradient callback
+ # name = Symbol("dyn_$(t)_$(i)")
+ # )
+ # # Bind the operator to the constraint x[t+1, i] == f_i( [x[t,:]; u[t,:]]... )
+ # @constraint(model, x[t+1,i] == op( [x[t, :]; u[t, :]]... ))
+ #end
+
+ # Possibly set an initial condition constraint: x[1, :] = x_ref
+ @constraint(model, [j in 1:atlas_obj.nx], x[1,j] == X_start[j])
+
+ # Solve
+ optimize!(model)
+ return model, value.(x), value.(u)
+end
+
+N = 10
+X_start = deepcopy(x_ref)
+X_start[atlas.nq + 5] = 1.3
+model, X_solve, U_solve = build_and_solve_mpc(atlas, x_ref, X_start, N; optimizer=optimizer_with_attributes(Ipopt.Optimizer,
+ # "print_level" => 0,
+ "linear_solver" => "ma97",
+ #"hessian_approximation" => "limited-memory",
+ #"max_iter" => 20,
+ "mu_target" => 1e-8,
+ "print_user_options" => "yes",
+ )
+)
+termination_status(model)
+
+# Now we can simulate the system with the controls U_solve
+X = [zeros(atlas.nx) for _ = 1:N];
+X[1] = deepcopy(x_ref);
+X[1][atlas.nq + 5] = 1.3; # Perturb i.c.
+
+for k = 1:N - 1
+ X[k + 1] = rk4(atlas, X[k], U_solve[k, :], h)
+end
+
+animate!(atlas, mvis, X, Δt=h);
+
+error = sum( norm(X_solve[t,:] .- X[t]) for t in 1:N )
+
+# # Set up cost matrices (hand-tuned)
+# Q = spdiagm([1e3*ones(12); repeat([1e1; 1e1; 1e3], 3); 1e1*ones(8); 1e2*ones(12); repeat([1; 1; 1e2], 3); 1*ones(8)]);
+# R = spdiagm(1e-3*ones(atlas.nu));
+
+# # Calculate infinite-horizon LQR cost-to-go and gain matrices
+# K, Qf = ihlqr(Ad, Bd, Q, R, Q, max_iters = 1000);
+
+# # Define additional constraints for the QP (just torques for Atlas)
+# horizon = 2;
+# A_torque = kron(I(horizon), [I(atlas.nu) zeros(atlas.nu, atlas.nx)]);
+# l_torque = repeat(-atlas.torque_limits - u_ref, horizon);
+# u_torque = repeat(atlas.torque_limits - u_ref, horizon);
+
+# # Setup QP
+# H, g, A, l, u, g_x0, lu_x0 = gen_condensed_mpc_qp(Ad, Bd, Q, R, Qf, horizon, A_torque, l_torque, u_torque, K);
+
+# # Setup solver
+# m = ReLUQP.setup(H, g, A, l, u, verbose = false, eps_primal=1e-2, eps_dual=1e-2, max_iters=10, iters_btw_checks=1);
+
+# # Simulate
+# N = 300;
+# X = [zeros(atlas.nx) for _ = 1:N];
+# U = [zeros(atlas.nu) for _ = 1:N];
+# X[1] = deepcopy(x_ref);
+# X[1][atlas.nq + 5] = 1.3; # Perturb i.c.
+
+# # Warmstart solver
+# Δx = X[1] - x_ref;
+# ReLUQP.update!(m, g = g + g_x0*Δx, l = l + lu_x0*Δx, u = u + lu_x0*Δx);
+# m.opts.max_iters = 4000;
+# m.opts.check_convergence = false;
+# ReLUQP.solve(m);
+# m.opts.max_iters = 10;
+
+# Run simulation
+# for k = 1:N - 1
+ # Get error
+ # global Δx = X[k] - x_ref
+
+ # Update solver
+ # ReLUQP.update!(m, g = g + g_x0*Δx, l = l + lu_x0*Δx, u = u + lu_x0*Δx)
+
+ # Solve and get controls
+ # results = ReLUQP.solve(m)
+ # global U[k] = results.x[1:atlas.nu] - K*Δx
+
+ # Integrate
+ # global X[k + 1] = rk4(atlas, X[k], clamp.(u_ref + U[k], -atlas.torque_limits, atlas.torque_limits), h)
+# end
+
+#X = [value.(x[t,:]) for t=1:N]
+#X = [X_solve[t, :] for t=1:N]
+#
+#animate!(atlas, mvis, X, Δt=h);
+#readline()
+#
+#
+################
+#include(joinpath(@__DIR__, "rigidbodyutils.jl"))
+#include(joinpath(@__DIR__, "atlas_utils.jl"))
+#
+#model = Model()
+#optimizer=optimizer_with_attributes(Ipopt.Optimizer,
+# # "print_level" => 0,
+# "hsllib" => HSL_jll.libhsl_path,
+# "linear_solver" => "MA27"
+#)
+#set_optimizer(model, optimizer)
+#
+#@variable(model, x[1:N, 1:atlas.nx])
+#@variable(model, -atlas.torque_limits[i] <= u[t=1:N-1,i=1:atlas.nu] <= atlas.torque_limits[i])
+#
+#dyn_result = dynamics(atlas, convert.(NonlinearExpr, x[1, :]), convert.(NonlinearExpr,u[1, :]))
+#
+#function atlas_dynamics(x, u)
+# h = 0.01
+# return rk4(atlas, x, u, h)
+#end
+#
+##function build_and_solve_mpc(atlas_obj::Atlas, x_ref::Vector{Float64}, X_start::Vector{Float64}, N::Int; optimizer=optimizer_with_attributes(Ipopt.Optimizer,
+## # "print_level" => 0,
+## "hsllib" => HSL_jll.libhsl_path,
+## "linear_solver" => "MA27"
+## )
+##)
+## model = Model()
+## set_optimizer(model, optimizer)
+##
+## # For demonstration, let's define:
+## # x[t=1:N, 1:atlas.nx]
+## # u[t=1:N-1, 1:atlas.nu]
+## @variable(model, x[1:N, 1:atlas_obj.nx])
+## @variable(model, -atlas_obj.torque_limits[i] <= u[t=1:N-1,i=1:atlas.nu] <= atlas_obj.torque_limits[i])
+## # ^ adapt the indexing if torque_limits is an array of length nu, etc.
+##
+## # Objective: sum of squared error from x_ref
+## @objective(model, Min, sum( (x[t,j] - x_ref[j])^2 for t in 2:N for j in 1:atlas_obj.nx ) )
+##
+## for t in 1:(N-1)
+## # Bindconstraint x[t+1, i] == f_i( [x[t,:]; u[t,:]]... )
+## @constraint(model, x[t+1, :] == atlas_dynamics( convert.(NonlinearExpr, x[t, :]), convert.(NonlinearExpr,u[t, :])))
+## end
+##
+## # Possibly set an initial condition constraint: x[1, :] = x_ref
+## @constraint(model, [j in 1:atlas_obj.nx], x[1,j] == X_start[j])
+##
+## # Solve
+## optimize!(model)
+## return model, value.(x), value.(u)
+##end
+#
+#N = 2
+#X_start = deepcopy(x_ref)
+#X_start[atlas.nq + 5] = 1.3
+#model, X_solve, U_solve = build_and_solve_mpc(atlas, x_ref, X_start, N; optimizer=optimizer_with_attributes(Ipopt.Optimizer,
+# # "print_level" => 0,
+# "linear_solver" => "ma97",
+# "hessian_approximation" => "limited-memory",
+# "max_iter" => 300,
+# "mu_target" => 1e-8,
+# "print_info_string" => "yes",
+# )
+#)
+#termination_status(model)
+#
+## Now we can simulate the system with the controls U_solve
+#X = [zeros(atlas.nx) for _ = 1:N];
+#X[1] = deepcopy(x_ref);
+#X[1][atlas.nq + 5] = 1.3; # Perturb i.c.
+#
+#for k = 1:N - 1
+# X[k + 1] = rk4(atlas, X[k], U_solve[k, :], h)
+#end
+#
+#animate!(atlas, mvis, X, Δt=h);
+#
+#error = sum( norm(X_solve[t,:] .- X[t]) for t in 1:N )
+#
+#
+#function foo!(q::AbstractVector{T}) where {T}
+# q .= zero(T)
+#end
diff --git a/examples/Atlas/atlas_ref.jld2 b/examples/Atlas/atlas_ref.jld2
new file mode 100644
index 0000000..72cc873
Binary files /dev/null and b/examples/Atlas/atlas_ref.jld2 differ
diff --git a/examples/Atlas/atlas_utils.jl b/examples/Atlas/atlas_utils.jl
new file mode 100644
index 0000000..3370b9e
--- /dev/null
+++ b/examples/Atlas/atlas_utils.jl
@@ -0,0 +1,143 @@
+# Setup the dynamics and visualization for the Atlas model
+using RigidBodyDynamics
+using MeshCat
+using MeshCatMechanisms
+using Random
+using StaticArrays
+using Rotations
+using LinearAlgebra
+using ForwardDiff
+import ForwardDiff as FD
+
+const URDFPATH = joinpath(@__DIR__, "urdf", "atlas_all.urdf")
+
+struct Atlas
+ mech::Mechanism{Float64}
+ statecache::StateCache
+ dynrescache::DynamicsResultCache
+ nq::Int
+ nv::Int
+ nx::Int
+ nu::Int
+ joint_names
+ torque_limits::Vector{Float64}
+ function Atlas()
+ # Create the Mechanism (defaults to floating base)
+ mech = parse_urdf(URDFPATH, floating=true, remove_fixed_tree_joints=true)
+
+ ### Pin the left foot to the ground
+ foot_frame = findbody(mech, "l_foot")
+ pelvis_frame = findbody(mech, "pelvis")
+ world_frame = findbody(mech, "world")
+
+ state = MechanismState(mech)
+ pelvis_to_foot = translation(relative_transform(state,
+ default_frame(pelvis_frame), default_frame(foot_frame)))
+
+ foot_location = @SVector [pelvis_to_foot[1], pelvis_to_foot[2], -0.08]
+
+ # add fixed joint to ground
+ foot_joint = Joint("foot_joint", Fixed{Float64}())
+ world_to_joint = Transform3D(frame_before(foot_joint),
+ default_frame(world_frame),
+ -foot_location)
+
+ attach!(mech, world_frame, foot_frame, foot_joint, joint_pose=world_to_joint)
+
+ remove_joint!(mech, findjoint(mech, "pelvis_to_world"))
+
+ ## Get mechanism details
+ nq = num_positions(mech)
+ nv = num_velocities(mech)
+ nx = nq + nv
+ nu = nq
+
+ joint_names = [joint.name for joint in joints(mech)[2:end]] # Exclude foot joint
+ limits_dict = Dict( # Torque TODO: lower, upper
+ "l_leg_akx" => [360.],
+ "l_leg_aky" => [740.],
+ "l_leg_kny" => [890.],
+ "l_leg_hpy" => [840.],
+ "l_leg_hpx" => [530.],
+ "l_leg_hpz" => [275.],
+ "back_bkz" => [106.],
+ "r_leg_hpz" => [275.],
+ "back_bky" => [445.],
+ "r_leg_hpx" => [530.],
+ "back_bkx" => [300.],
+ "r_leg_hpy" => [840.],
+ "l_arm_shz" => [87.],
+ "r_arm_shz" => [87.],
+ "r_leg_kny" => [890.],
+ "l_arm_shx" => [99.],
+ "r_arm_shx" => [99.],
+ "r_leg_aky" => [740.],
+ "l_arm_ely" => [63.],
+ "r_arm_ely" => [63.],
+ "r_leg_akx" => [360.],
+ "l_arm_elx" => [112.],
+ "r_arm_elx" => [112.],
+ "l_arm_uwy" => [25.],
+ "r_arm_uwy" => [25.],
+ "l_arm_mwx" => [25.],
+ "r_arm_mwx" => [25.],
+ "l_arm_lwy" => [25.],
+ "r_arm_lwy" => [25.]
+ )
+ torque_limits = [limits_dict[name][1] for name in joint_names]
+
+ new(mech, StateCache(mech), DynamicsResultCache(mech),
+ nq, nv, nx, nu,
+ joint_names, torque_limits)
+ end
+end
+
+function dynamics(model::Atlas, x::AbstractVector{T1}, u::AbstractVector{T2}) where {T1, T2}
+ T = promote_type(T1, T2)
+ state = model.statecache[T]
+ dyn_result = model.dynrescache[T]
+ #println("dyn_result.M: ", dyn_result.massmatrix)
+
+ # Set the mechanism state
+ copyto!(state, x)
+
+ # # Perform forward dynamics
+ dynamics!(dyn_result, state, u)
+
+ return [dyn_result.q̇; dyn_result.v̇]
+end
+
+function explicit_euler(model::Atlas, x, u, h)
+ return x + h * dynamics(model, x, u)
+end
+
+function rk4(model::Atlas, x, u, h)
+ k1 = dynamics(model, x, u)
+ k2 = dynamics(model, x + h/2*k1, u)
+ k3 = dynamics(model, x + h/2*k2, u)
+ k4 = dynamics(model, x + h*k3, u)
+ return x + h/6*(k1 + 2*k2 + 2*k3 + k4)
+end
+
+function init_visualizer(model::Atlas, vis::Visualizer)
+ delete!(vis)
+ meshes_path = joinpath(@__DIR__, "urdf")
+ mvis = MechanismVisualizer(model.mech, URDFVisuals(URDFPATH, package_path=[meshes_path]), vis)
+ return mvis
+end
+
+function visualize!(model::Atlas, mvis::MechanismVisualizer, q)
+ set_configuration!(mvis, q[1:model.nq])
+end
+
+function animate!(model::Atlas, mvis::MechanismVisualizer, qs; Δt=0.001)
+ anim = MeshCat.Animation(mvis.visualizer; fps=convert(Int, floor(1.0 / Δt)))
+ for (t, q) in enumerate(qs)
+ MeshCat.atframe(anim, t) do
+ set_configuration!(mvis, q[1:model.nq])
+ end
+ end
+ MeshCat.setanimation!(mvis, anim)
+
+ return anim
+end
diff --git a/examples/Atlas/rigidbodyutils.jl b/examples/Atlas/rigidbodyutils.jl
new file mode 100644
index 0000000..42fa594
--- /dev/null
+++ b/examples/Atlas/rigidbodyutils.jl
@@ -0,0 +1,42 @@
+using JuMP
+using Ipopt, HSL_jll
+import Base: sincos, promote_type
+import RigidBodyDynamics: dynamics_solve!
+
+sincos(x::NonlinearExpr) = (sin(x), cos(x))
+promote_type(::Type{<:NonlinearExpr}, ::Type{<:NonlinearExpr}) = NonlinearExpr
+promote_type(::Type{<:NonlinearExpr}, ::Type{<:Real}) = NonlinearExpr
+NonlinearExpr(x::Int64) = convert(NonlinearExpr, x * AffExpr(1.0)) # Dummy conversion for NonlinearExpr
+Base.:*(x::NonlinearExpr, y::UniformScaling{Bool}) = convert(NonlinearExpr, x * AffExpr(y.λ)) # Dummy conversion for UniformScaling
+
+"""
+ function dynamics_solve!(v̇::AbstractVector, λ::AbstractVector,
+ G::Matrix{NonlinearExpr}, r::Vector{NonlinearExpr}
+ )
+
+Creates JuMP Constraints equivalent to the linear system.
+"""
+function RigidBodyDynamics.dynamics_solve!(_v̇::AbstractVector, λ::AbstractVector,
+ G::Matrix{NonlinearExpr}, _c::AbstractVector, k::AbstractVector, nv::Int, nl::Int, τ::AbstractVector
+)
+ println("Solving dynamics with nl = $nl, nv = $nv")
+ println("c: ", _c)
+ println("k: ", k)
+ println("τ: ", τ)
+ println("v̇: ", _v̇)
+ println("Λ: ", λ)
+ c = parent(_c)
+ r = [τ - c; -k]
+ v̇ = parent(_v̇)
+ model = owner_model(r[1])
+
+ if nl == 0
+ aux_v̇ = @variable(model, [1:nv])
+ con = @constraint(model, G * aux_v̇ .== r)
+ println("Constraint: ", con)
+ v̇ .= aux_v̇
+ else
+ @constraint(model, G * [v̇; λ] .== r)
+ end
+ nothing
+end
diff --git a/examples/Atlas/test.jl b/examples/Atlas/test.jl
new file mode 100644
index 0000000..fc4228a
--- /dev/null
+++ b/examples/Atlas/test.jl
@@ -0,0 +1,62 @@
+using RigidBodyDynamics
+using LinearAlgebra
+using StaticArrays
+
+g = -9.81 # gravitational acceleration in z-direction
+world = RigidBody{Float64}("world")
+doublependulum = Mechanism(world; gravity = SVector(0, 0, g))
+
+axis = SVector(0., 1., 0.) # joint axis
+I_1 = 0.333 # moment of inertia about joint axis
+c_1 = -0.5 # center of mass location with respect to joint axis
+m_1 = 1. # mass
+frame1 = CartesianFrame3D("upper_link") # the reference frame in which the spatial inertia will be expressed
+inertia1 = SpatialInertia(frame1,
+ moment=I_1 * axis * axis',
+ com=SVector(0, 0, c_1),
+ mass=m_1
+)
+
+upperlink = RigidBody(inertia1)
+
+shoulder = Joint("shoulder", Revolute(axis))
+
+before_shoulder_to_world = one(Transform3D,
+ frame_before(shoulder), default_frame(world)
+)
+
+attach!(doublependulum, world, upperlink, shoulder,
+ joint_pose = before_shoulder_to_world
+)
+
+l_1 = -1. # length of the upper link
+I_2 = 0.333 # moment of inertia about joint axis
+c_2 = -0.5 # center of mass location with respect to joint axis
+m_2 = 1. # mass
+inertia2 = SpatialInertia(CartesianFrame3D("lower_link"),
+ moment=I_2 * axis * axis',
+ com=SVector(0, 0, c_2),
+ mass=m_2)
+lowerlink = RigidBody(inertia2)
+elbow = Joint("elbow", Revolute(axis))
+before_elbow_to_after_shoulder = Transform3D(
+ frame_before(elbow), frame_after(shoulder), SVector(0, 0, l_1))
+attach!(doublependulum, upperlink, lowerlink, elbow,
+ joint_pose = before_elbow_to_after_shoulder)
+
+# Now we can compute the dynamics of the system
+state = MechanismState(doublependulum)
+
+set_configuration!(state, shoulder, 0.3)
+set_configuration!(state, elbow, 0.4)
+set_velocity!(state, shoulder, 1.)
+set_velocity!(state, elbow, 2.);
+
+q = configuration(state)
+v = velocity(state)
+
+ts, qs, vs = simulate(state, 5., Δt = 1e-3);
+
+open_loop_dynamics = Dynamics(doublependulum)
+
+dynamics!(open_loop_dynamics.resultcache, state, open_loop_dynamics.τcache)
\ No newline at end of file
diff --git a/examples/Atlas/urdf/atlas.urdf b/examples/Atlas/urdf/atlas.urdf
new file mode 100644
index 0000000..6620a6d
--- /dev/null
+++ b/examples/Atlas/urdf/atlas.urdf
@@ -0,0 +1,840 @@
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diff --git a/examples/Atlas/urdf/atlas_all.urdf b/examples/Atlas/urdf/atlas_all.urdf
new file mode 100644
index 0000000..ffcf5c5
--- /dev/null
+++ b/examples/Atlas/urdf/atlas_all.urdf
@@ -0,0 +1,761 @@
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diff --git a/examples/Atlas/urdf/atlas_arms_legs_only.urdf b/examples/Atlas/urdf/atlas_arms_legs_only.urdf
new file mode 100644
index 0000000..aee65a9
--- /dev/null
+++ b/examples/Atlas/urdf/atlas_arms_legs_only.urdf
@@ -0,0 +1,761 @@
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diff --git a/examples/Atlas/urdf/mesh/GRIPPER_OPEN_chull.obj b/examples/Atlas/urdf/mesh/GRIPPER_OPEN_chull.obj
new file mode 100644
index 0000000..afb2832
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/GRIPPER_OPEN_chull.obj
@@ -0,0 +1,60 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object GRIPPER_OPEN_chull.obj
+#
+# Vertices: 12
+# Faces: 20
+#
+####
+vn 0.786797 -0.050764 0.615120
+v -0.059683 0.006619 -0.157520
+vn 0.785453 -0.607880 0.116389
+v -0.109043 0.052411 0.020638
+vn 0.465018 0.835991 -0.291337
+v -0.116677 -0.053183 0.056221
+vn 0.296204 -0.897864 0.325735
+v -0.052370 0.064205 -0.102480
+vn -0.041855 -0.734235 -0.677604
+v -0.091363 0.047651 0.059568
+vn 0.353793 0.857416 0.373723
+v -0.035825 -0.060884 -0.145542
+vn -0.281046 0.957985 -0.057255
+v 0.046467 -0.063704 -0.096671
+vn -0.804412 -0.583963 -0.109122
+v 0.121674 0.009207 0.054709
+vn -0.190676 0.712072 -0.675719
+v 0.097004 -0.013613 0.058171
+vn -0.197864 -0.974292 -0.107723
+v 0.043548 0.063666 -0.094146
+vn -0.572674 -0.513503 0.639030
+v 0.047817 0.041121 -0.153120
+vn -0.694394 0.279935 0.662913
+v 0.050376 -0.029320 -0.156672
+# 12 vertices, 0 vertices normals
+
+f 2//2 3//3 1//1
+f 4//4 10//10 2//2
+f 6//6 3//3 7//7
+f 2//2 10//10 5//5
+f 2//2 1//1 4//4
+f 3//3 6//6 1//1
+f 7//7 3//3 9//9
+f 9//9 3//3 5//5
+f 10//10 8//8 5//5
+f 9//9 8//8 7//7
+f 11//11 8//8 10//10
+f 8//8 9//9 5//5
+f 7//7 8//8 12//12
+f 4//4 11//11 10//10
+f 5//5 3//3 2//2
+f 12//12 8//8 11//11
+f 4//4 1//1 11//11
+f 12//12 6//6 7//7
+f 1//1 6//6 12//12
+f 1//1 12//12 11//11
+# 20 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/head.obj b/examples/Atlas/urdf/mesh/head.obj
new file mode 100644
index 0000000..d8309a6
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/head.obj
@@ -0,0 +1,4589 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object head.obj
+#
+# Vertices: 1737
+# Faces: 1099
+#
+####
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diff --git a/examples/Atlas/urdf/mesh/head_camera.obj b/examples/Atlas/urdf/mesh/head_camera.obj
new file mode 100644
index 0000000..6c083e4
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/head_camera.obj
@@ -0,0 +1,1232 @@
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+v -0.044343 0.028813 0.068518
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+v -0.047243 0.018613 0.061318
+vn 0.577687 -0.573989 0.580357
+v -0.045743 0.019113 0.060318
+vn 0.577687 -0.573989 0.580357
+v -0.044343 0.028813 0.068518
+vn 0.577344 -0.574119 0.580570
+v -0.042743 0.029613 0.067718
+vn 0.975117 -0.176101 -0.134666
+v -0.045743 0.019113 0.060318
+vn 0.976035 -0.192572 -0.101353
+v -0.045743 0.020113 0.058418
+vn 0.975117 -0.176101 -0.134666
+v -0.042743 0.031213 0.066218
+vn 0.972723 -0.158653 -0.169231
+v -0.042743 0.029613 0.067718
+vn 0.000000 0.950853 0.309644
+v -0.065743 0.049013 0.123218
+vn -0.583241 -0.297541 -0.755843
+v -0.049543 -0.016487 0.128818
+vn -0.515831 0.750298 -0.413488
+v -0.045443 0.039413 0.080318
+# 480 vertices, 0 vertices normals
+
+f 1//1 2//2 3//3
+f 1//1 4//4 2//2
+f 5//5 6//6 7//7
+f 5//5 8//8 6//6
+f 9//9 10//10 11//11
+f 9//9 12//12 10//10
+f 13//13 14//14 15//15
+f 13//13 16//16 14//14
+f 17//17 18//18 19//19
+f 17//17 20//20 18//18
+f 21//21 22//22 23//23
+f 21//21 24//24 22//22
+f 25//25 24//24 21//21
+f 25//25 26//26 24//24
+f 27//27 26//26 25//25
+f 27//27 28//28 26//26
+f 29//29 30//30 31//31
+f 29//29 32//32 30//30
+f 33//33 32//32 29//29
+f 33//33 34//34 32//32
+f 35//35 34//34 33//33
+f 35//35 36//36 34//34
+f 37//37 38//38 39//39
+f 37//37 40//40 38//38
+f 41//41 42//42 43//43
+f 41//41 44//44 42//42
+f 45//45 46//46 47//47
+f 45//45 48//48 46//46
+f 49//49 50//50 51//51
+f 49//49 52//52 50//50
+f 53//53 54//54 55//55
+f 53//53 56//56 54//54
+f 57//57 58//58 59//59
+f 57//57 60//60 58//58
+f 61//61 62//62 63//63
+f 61//61 64//64 62//62
+f 65//65 66//66 67//67
+f 65//65 68//68 66//66
+f 69//69 70//70 71//71
+f 69//69 72//72 70//70
+f 73//73 71//71 74//74
+f 73//73 69//69 71//71
+f 75//75 76//76 77//77
+f 75//75 78//78 76//76
+f 79//79 77//77 80//80
+f 79//79 75//75 77//77
+f 81//81 80//80 82//82
+f 81//81 79//79 80//80
+f 72//72 82//82 70//70
+f 72//72 81//81 82//82
+f 83//83 84//84 85//85
+f 83//83 86//86 84//84
+f 86//86 478//478 84//84
+f 86//86 87//87 478//478
+f 88//88 89//89 90//90
+f 88//88 91//91 89//89
+f 92//92 93//93 94//94
+f 92//92 95//95 93//93
+f 96//96 97//97 98//98
+f 96//96 99//99 97//97
+f 100//100 101//101 102//102
+f 100//100 103//103 101//101
+f 104//104 105//105 106//106
+f 104//104 107//107 105//105
+f 108//108 109//109 110//110
+f 108//108 111//111 109//109
+f 112//112 113//113 114//114
+f 112//112 115//115 113//113
+f 116//116 117//117 118//118
+f 116//116 119//119 117//117
+f 120//120 121//121 122//122
+f 120//120 123//123 121//121
+f 124//124 125//125 126//126
+f 124//124 127//127 125//125
+f 128//128 127//127 124//124
+f 128//128 129//129 127//127
+f 130//130 129//129 128//128
+f 130//130 131//131 129//129
+f 132//132 131//131 130//130
+f 132//132 133//133 131//131
+f 134//134 135//135 136//136
+f 134//134 137//137 135//135
+f 138//138 136//136 139//139
+f 138//138 134//134 136//136
+f 140//140 139//139 141//141
+f 140//140 138//138 139//139
+f 142//142 141//141 143//143
+f 142//142 140//140 141//141
+f 144//144 143//143 145//145
+f 144//144 142//142 143//143
+f 146//146 145//145 147//147
+f 146//146 144//144 145//145
+f 148//148 149//149 150//150
+f 150//150 151//151 148//148
+f 152//152 153//153 154//154
+f 154//154 155//155 152//152
+f 156//156 157//157 158//158
+f 158//158 159//159 156//156
+f 160//160 161//161 162//162
+f 162//162 163//163 160//160
+f 164//164 165//165 166//166
+f 166//166 167//167 164//164
+f 168//168 169//169 170//170
+f 170//170 171//171 168//168
+f 172//172 173//173 174//174
+f 172//172 175//175 173//173
+f 176//176 177//177 178//178
+f 176//176 179//179 177//177
+f 180//180 181//181 182//182
+f 180//180 183//183 181//181
+f 184//184 185//185 186//186
+f 184//184 187//187 185//185
+f 188//188 189//189 190//190
+f 188//188 191//191 189//189
+f 192//192 193//193 194//194
+f 195//195 193//193 192//192
+f 195//195 196//196 193//193
+f 195//195 192//192 197//197
+f 198//198 199//199 200//200
+f 200//200 201//201 198//198
+f 202//202 203//203 204//204
+f 204//204 205//205 202//202
+f 206//206 207//207 208//208
+f 209//209 207//207 206//206
+f 209//209 210//210 207//207
+f 209//209 206//206 211//211
+f 212//212 213//213 214//214
+f 212//212 215//215 213//213
+f 216//216 217//217 218//218
+f 218//218 219//219 216//216
+f 220//220 221//221 222//222
+f 222//222 223//223 220//220
+f 224//224 225//225 226//226
+f 224//224 227//227 225//225
+f 228//228 229//229 230//230
+f 228//228 231//231 229//229
+f 232//232 233//233 234//234
+f 234//234 235//235 232//232
+f 236//236 237//237 238//238
+f 238//238 239//239 236//236
+f 240//240 241//241 242//242
+f 240//240 243//243 241//241
+f 244//244 245//245 246//246
+f 244//244 247//247 245//245
+f 248//248 249//249 250//250
+f 248//248 251//251 249//249
+f 252//252 253//253 254//254
+f 252//252 255//255 253//253
+f 256//256 257//257 258//258
+f 256//256 259//259 257//257
+f 260//260 261//261 262//262
+f 260//260 263//263 261//261
+f 264//264 265//265 266//266
+f 266//266 267//267 264//264
+f 268//268 269//269 270//270
+f 270//270 271//271 268//268
+f 272//272 273//273 274//274
+f 274//274 275//275 272//272
+f 276//276 277//277 278//278
+f 278//278 279//279 276//276
+f 280//280 281//281 282//282
+f 282//282 283//283 280//280
+f 284//284 285//285 286//286
+f 286//286 287//287 284//284
+f 288//288 289//289 290//290
+f 290//290 291//291 288//288
+f 292//292 293//293 294//294
+f 292//292 295//295 293//293
+f 296//296 297//297 298//298
+f 296//296 299//299 297//297
+f 300//300 301//301 302//302
+f 300//300 303//303 301//301
+f 304//304 305//305 306//306
+f 304//304 307//307 305//305
+f 308//308 309//309 310//310
+f 310//310 311//311 308//308
+f 312//312 313//313 314//314
+f 315//315 316//316 317//317
+f 318//318 319//319 320//320
+f 320//320 321//321 318//318
+f 322//322 323//323 324//324
+f 322//322 325//325 323//323
+f 326//326 327//327 328//328
+f 328//328 329//329 326//326
+f 330//330 331//331 332//332
+f 332//332 333//333 330//330
+f 334//334 335//335 336//336
+f 336//336 337//337 334//334
+f 338//338 339//339 340//340
+f 338//338 341//341 339//339
+f 342//342 343//343 344//344
+f 344//344 345//345 342//342
+f 346//346 347//347 348//348
+f 346//346 349//349 347//347
+f 350//350 351//351 352//352
+f 350//350 353//353 351//351
+f 354//354 355//355 356//356
+f 356//356 357//357 354//354
+f 358//358 359//359 360//360
+f 360//360 361//361 358//358
+f 362//362 363//363 364//364
+f 364//364 365//365 362//362
+f 366//366 367//367 368//368
+f 368//368 369//369 366//366
+f 370//370 371//371 372//372
+f 479//479 373//373 374//374
+f 375//375 376//376 377//377
+f 375//375 378//378 376//376
+f 379//379 380//380 381//381
+f 381//381 382//382 379//379
+f 383//383 384//384 385//385
+f 385//385 384//384 386//386
+f 387//387 388//388 389//389
+f 389//389 390//390 387//387
+f 391//391 392//392 393//393
+f 391//391 394//394 392//392
+f 395//395 396//396 397//397
+f 397//397 398//398 395//395
+f 399//399 400//400 401//401
+f 401//401 402//402 399//399
+f 403//403 404//404 405//405
+f 403//403 406//406 404//404
+f 407//407 408//408 409//409
+f 409//409 410//410 407//407
+f 411//411 412//412 413//413
+f 411//411 414//414 412//412
+f 415//415 416//416 417//417
+f 417//417 418//418 415//415
+f 419//419 420//420 421//421
+f 419//419 422//422 420//420
+f 423//423 424//424 425//425
+f 423//423 426//426 424//424
+f 427//427 428//428 429//429
+f 429//429 430//430 427//427
+f 431//431 432//432 433//433
+f 433//433 432//432 434//434
+f 435//435 436//436 437//437
+f 480//480 438//438 439//439
+f 440//440 441//441 442//442
+f 440//440 443//443 441//441
+f 444//444 445//445 446//446
+f 446//446 447//447 444//444
+f 448//448 449//449 450//450
+f 450//450 451//451 448//448
+f 452//452 453//453 454//454
+f 454//454 453//453 455//455
+f 456//456 457//457 458//458
+f 459//459 460//460 461//461
+f 462//462 463//463 464//464
+f 464//464 465//465 462//462
+f 466//466 467//467 468//468
+f 468//468 467//467 469//469
+f 470//470 471//471 472//472
+f 472//472 471//471 473//473
+f 474//474 475//475 476//476
+f 476//476 477//477 474//474
+# 256 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/head_camera_chull.obj b/examples/Atlas/urdf/mesh/head_camera_chull.obj
new file mode 100644
index 0000000..31a9e9a
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/head_camera_chull.obj
@@ -0,0 +1,60 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object head_camera_chull.obj
+#
+# Vertices: 12
+# Faces: 20
+#
+####
+vn 0.571672 0.813078 -0.109976
+v 0.017261 0.042257 0.060150
+vn -0.631200 -0.743956 -0.219353
+v -0.063122 -0.053010 0.090709
+vn -0.358407 -0.391624 0.847452
+v -0.054695 -0.037141 0.132992
+vn 0.085056 0.996122 -0.022526
+v -0.071491 0.061612 0.090508
+vn -0.633971 0.232218 -0.737669
+v -0.071685 0.049703 0.053559
+vn -0.374922 -0.342795 -0.861351
+v -0.041643 -0.014687 0.040918
+vn -0.611521 0.555511 0.563426
+v -0.071853 0.051286 0.122934
+vn -0.210462 0.070071 0.975088
+v -0.029502 0.013844 0.141872
+vn 0.336222 0.659369 0.672448
+v 0.003657 0.013913 0.141918
+vn 0.477838 -0.861401 0.172215
+v 0.014964 -0.038497 0.124658
+vn 0.908385 -0.040045 0.416212
+v 0.017298 0.000976 0.137603
+vn 0.607889 -0.391643 -0.690715
+v 0.017270 -0.015643 0.040846
+# 12 vertices, 0 vertices normals
+
+f 6//6 12//12 2//2
+f 2//2 7//7 5//5
+f 12//12 1//1 11//11
+f 12//12 10//10 2//2
+f 5//5 7//7 4//4
+f 5//5 4//4 1//1
+f 5//5 1//1 12//12
+f 9//9 11//11 1//1
+f 3//3 11//11 9//9
+f 7//7 9//9 1//1
+f 7//7 1//1 4//4
+f 8//8 3//3 9//9
+f 6//6 2//2 5//5
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+f 3//3 2//2 10//10
+f 7//7 3//3 8//8
+f 2//2 3//3 7//7
+f 5//5 12//12 6//6
+f 9//9 7//7 8//8
+f 10//10 12//12 11//11
+# 20 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/head_chull.obj b/examples/Atlas/urdf/mesh/head_chull.obj
new file mode 100644
index 0000000..8721d93
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/head_chull.obj
@@ -0,0 +1,60 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object head_chull.obj
+#
+# Vertices: 12
+# Faces: 20
+#
+####
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+vn -0.658352 -0.000953 0.752710
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+# 12 vertices, 0 vertices normals
+
+f 1//1 2//2 5//5
+f 3//3 11//11 6//6
+f 7//7 8//8 5//5
+f 2//2 1//1 9//9
+f 8//8 1//1 5//5
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+f 12//12 3//3 6//6
+f 4//4 10//10 7//7
+f 5//5 4//4 7//7
+f 7//7 10//10 12//12
+# 20 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/l_foot.obj b/examples/Atlas/urdf/mesh/l_foot.obj
new file mode 100644
index 0000000..2778313
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/l_foot.obj
@@ -0,0 +1,871 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object l_foot.obj
+#
+# Vertices: 319
+# Faces: 536
+#
+####
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+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/l_foot_chull.obj b/examples/Atlas/urdf/mesh/l_foot_chull.obj
new file mode 100644
index 0000000..f8fbdda
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/l_foot_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object l_foot_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
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+v -0.063498 0.066087 -0.076451
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+# 27 vertices, 0 vertices normals
+
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+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/l_lglut.obj b/examples/Atlas/urdf/mesh/l_lglut.obj
new file mode 100644
index 0000000..2676bb6
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/l_lglut.obj
@@ -0,0 +1,1309 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object l_lglut.obj
+#
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+# Faces: 847
+#
+####
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+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/l_lglut_chull.obj b/examples/Atlas/urdf/mesh/l_lglut_chull.obj
new file mode 100644
index 0000000..2b18669
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/l_lglut_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object l_lglut_chull.obj
+#
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+# Faces: 50
+#
+####
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+# 27 vertices, 0 vertices normals
+
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+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/l_lleg.obj b/examples/Atlas/urdf/mesh/l_lleg.obj
new file mode 100644
index 0000000..2531fd2
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/l_lleg.obj
@@ -0,0 +1,2319 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
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+#
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+# Faces: 1494
+#
+####
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+f 805 794 803
+f 795 805 796
+f 807 796 805
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+f 792 809 798
+# 1494 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/l_lleg_chull.obj b/examples/Atlas/urdf/mesh/l_lleg_chull.obj
new file mode 100644
index 0000000..8732272
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/l_lleg_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object l_lleg_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
+v 0.005717 -0.057859 -0.032432
+v 0.071035 -0.050665 -0.021669
+v 0.021705 0.060052 -0.007531
+v 0.071030 0.050931 -0.021748
+v -0.000814 -0.047260 -0.310515
+v 0.043715 -0.060881 0.014841
+v -0.038900 0.050041 -0.139933
+v -0.041571 0.038541 -0.333141
+v -0.038900 -0.049773 -0.139933
+v -0.006041 0.046179 -0.353100
+v 0.042349 0.058126 -0.074754
+v 0.088630 -0.029596 -0.032856
+v 0.060798 -0.031624 -0.351242
+v 0.050900 -0.044557 -0.353980
+v 0.050900 0.044824 -0.353980
+v 0.060798 0.031891 -0.351242
+v 0.088625 0.029867 -0.032878
+v 0.094751 0.000134 -0.109988
+v 0.069972 0.000134 -0.350335
+v 0.038932 0.051877 0.020755
+v 0.092434 0.000115 -0.031037
+v -0.016805 -0.051585 0.020840
+v -0.017081 0.051836 0.019069
+v -0.038098 -0.039358 -0.331344
+v -0.001230 0.023728 -0.438277
+v -0.002300 -0.024724 -0.439154
+v -0.041639 -0.011187 -0.118129
+# 27 vertices, 0 vertices normals
+
+f 1 6 5
+f 8 10 7
+f 9 1 5
+f 1 9 22
+f 9 27 22
+f 21 17 18
+f 14 6 2
+f 14 2 12
+f 21 18 12
+f 6 1 22
+f 3 11 4
+f 3 23 7
+f 10 3 7
+f 11 3 10
+f 4 17 20
+f 21 20 17
+f 13 26 14
+f 24 5 26
+f 24 9 5
+f 21 12 6
+f 6 12 2
+f 3 4 20
+f 20 6 22
+f 15 17 4
+f 11 15 4
+f 5 6 14
+f 14 26 5
+f 7 23 27
+f 27 8 7
+f 26 8 24
+f 10 8 25
+f 19 25 26
+f 19 26 13
+f 20 23 3
+f 27 24 8
+f 9 24 27
+f 10 15 11
+f 25 15 10
+f 19 16 25
+f 16 15 25
+f 18 19 13
+f 12 18 13
+f 13 14 12
+f 15 16 17
+f 16 18 17
+f 16 19 18
+f 20 21 6
+f 27 23 22
+f 20 22 23
+f 25 8 26
+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/l_talus.obj b/examples/Atlas/urdf/mesh/l_talus.obj
new file mode 100644
index 0000000..a3c1fe5
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/l_talus.obj
@@ -0,0 +1,92 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object l_talus.obj
+#
+# Vertices: 28
+# Faces: 48
+#
+####
+v 0.006590 -0.015904 -0.008474
+v 0.006590 0.016747 -0.008474
+v 0.010622 0.016747 -0.000100
+v 0.010622 -0.015904 -0.000100
+v -0.002471 -0.015904 -0.010542
+v -0.002471 0.016747 -0.010542
+v -0.009737 -0.015904 -0.004747
+v -0.009737 0.016747 -0.004747
+v -0.009737 -0.015904 0.004546
+v -0.009737 0.016747 0.004546
+v -0.002471 -0.015904 0.010341
+v -0.002471 0.016747 0.010341
+v 0.006590 -0.015904 0.008273
+v 0.006590 0.016747 0.008273
+v -0.016413 -0.006858 -0.009229
+v 0.016238 -0.006858 -0.009229
+v 0.016238 -0.011254 -0.000100
+v -0.016413 -0.011254 -0.000100
+v -0.016413 0.003020 -0.011484
+v 0.016238 0.003020 -0.011484
+v -0.016413 0.010941 -0.005166
+v 0.016238 0.010941 -0.005166
+v -0.016413 0.010941 0.004966
+v 0.016238 0.010941 0.004966
+v -0.016413 0.003020 0.011283
+v 0.016238 0.003020 0.011283
+v -0.016413 -0.006858 0.009028
+v 0.016238 -0.006858 0.009028
+# 28 vertices, 0 vertices normals
+
+f 3 4 1
+f 3 1 2
+f 5 2 1
+f 2 5 6
+f 7 6 5
+f 6 7 8
+f 9 10 8
+f 9 8 7
+f 11 12 10
+f 10 9 11
+f 13 14 12
+f 12 11 13
+f 14 13 4
+f 14 4 3
+f 4 7 5
+f 4 5 1
+f 7 11 9
+f 11 7 4
+f 11 4 13
+f 8 12 14
+f 12 8 10
+f 14 2 6
+f 14 6 8
+f 2 14 3
+f 17 18 15
+f 17 15 16
+f 19 16 15
+f 16 19 20
+f 21 20 19
+f 20 21 22
+f 23 24 22
+f 23 22 21
+f 24 23 25
+f 24 25 26
+f 26 25 27
+f 26 27 28
+f 28 27 18
+f 28 18 17
+f 21 15 18
+f 15 21 19
+f 21 25 23
+f 25 21 18
+f 25 18 27
+f 28 22 24
+f 28 24 26
+f 16 22 28
+f 22 16 20
+f 16 28 17
+# 48 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/l_uglut.obj b/examples/Atlas/urdf/mesh/l_uglut.obj
new file mode 100644
index 0000000..4934433
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/l_uglut.obj
@@ -0,0 +1,740 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object l_uglut.obj
+#
+# Vertices: 238
+# Faces: 486
+#
+####
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+# 486 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/l_uglut_chull.obj b/examples/Atlas/urdf/mesh/l_uglut_chull.obj
new file mode 100644
index 0000000..215151e
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/l_uglut_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object l_uglut_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
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diff --git a/examples/Atlas/urdf/mesh/l_uleg.obj b/examples/Atlas/urdf/mesh/l_uleg.obj
new file mode 100644
index 0000000..da133af
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/l_uleg.obj
@@ -0,0 +1,3726 @@
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+# 2464 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/l_uleg_chull.obj b/examples/Atlas/urdf/mesh/l_uleg_chull.obj
new file mode 100644
index 0000000..9fd7187
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/l_uleg_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object l_uleg_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
+v -0.128024 -0.013473 -0.196928
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+v -0.040340 0.041827 -0.391602
+v -0.011042 0.049436 0.016944
+v -0.009904 -0.049233 0.018210
+# 27 vertices, 0 vertices normals
+
+f 7 2 4
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+f 21 18 23
+f 2 25 4
+f 12 26 27
+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/ltorso.obj b/examples/Atlas/urdf/mesh/ltorso.obj
new file mode 100644
index 0000000..37cac55
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/ltorso.obj
@@ -0,0 +1,392 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object ltorso.obj
+#
+# Vertices: 132
+# Faces: 244
+#
+####
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+# 244 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/mtorso.obj b/examples/Atlas/urdf/mesh/mtorso.obj
new file mode 100644
index 0000000..9349ad8
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/mtorso.obj
@@ -0,0 +1,144 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object mtorso.obj
+#
+# Vertices: 44
+# Faces: 84
+#
+####
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+v -0.002938 -0.012943 0.021807
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+# 44 vertices, 0 vertices normals
+
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+f 41 3 36
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+# 84 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/pelvis.obj b/examples/Atlas/urdf/mesh/pelvis.obj
new file mode 100644
index 0000000..175a37f
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/pelvis.obj
@@ -0,0 +1,3168 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object pelvis.obj
+#
+# Vertices: 1174
+# Faces: 1978
+#
+####
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\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/pelvis_chull.obj b/examples/Atlas/urdf/mesh/pelvis_chull.obj
new file mode 100644
index 0000000..26b23f4
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/pelvis_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object pelvis_chull.obj
+#
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+# Faces: 50
+#
+####
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+
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+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_clav.obj b/examples/Atlas/urdf/mesh/r_clav.obj
new file mode 100644
index 0000000..7fcca21
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_clav.obj
@@ -0,0 +1,898 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_clav.obj
+#
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+# 556 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_clav_chull.obj b/examples/Atlas/urdf/mesh/r_clav_chull.obj
new file mode 100644
index 0000000..6e63ded
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_clav_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_clav_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
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+v 0.066280 0.024404 -0.157071
+v -0.023397 0.017708 -0.113760
+v -0.023049 -0.023155 -0.113548
+# 27 vertices, 0 vertices normals
+
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+f 21 20 24
+f 27 21 24
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+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_farm.obj b/examples/Atlas/urdf/mesh/r_farm.obj
new file mode 100644
index 0000000..68300bb
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_farm.obj
@@ -0,0 +1,312 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_farm.obj
+#
+# Vertices: 100
+# Faces: 196
+#
+####
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+v -0.059621 0.050635 -0.000153
+v -0.054184 0.050635 -0.030885
+# 100 vertices, 0 vertices normals
+
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+f 30 61 22
+f 61 52 22
+f 80 81 62
+f 64 72 70
+# 196 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_farm_chull.obj b/examples/Atlas/urdf/mesh/r_farm_chull.obj
new file mode 100644
index 0000000..7a7f6a1
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_farm_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_farm_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
+v 0.061657 0.010512 -0.031951
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+v 0.052578 -0.035395 -0.000153
+v -0.052730 -0.027968 -0.023012
+v 0.061658 -0.027693 -0.023158
+# 27 vertices, 0 vertices normals
+
+f 1 7 5
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+f 20 22 21
+f 25 27 26
+f 26 24 25
+f 26 16 17
+f 26 27 16
+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_foot.obj b/examples/Atlas/urdf/mesh/r_foot.obj
new file mode 100644
index 0000000..eb4490a
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_foot.obj
@@ -0,0 +1,875 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_foot.obj
+#
+# Vertices: 319
+# Faces: 540
+#
+####
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+# 540 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_foot_chull.obj b/examples/Atlas/urdf/mesh/r_foot_chull.obj
new file mode 100644
index 0000000..1c2a2db
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_foot_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_foot_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
+v 0.032478 0.032456 -0.000038
+v -0.030949 0.000206 0.012026
+v 0.029024 0.000680 0.011616
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+v 0.172760 0.033536 -0.076444
+v -0.063498 -0.066087 -0.076451
+v 0.110890 -0.066087 -0.076451
+# 27 vertices, 0 vertices normals
+
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+f 14 27 26
+f 27 14 7
+f 27 25 24
+f 22 25 27
+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_hand.obj b/examples/Atlas/urdf/mesh/r_hand.obj
new file mode 100644
index 0000000..d5553c0
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_hand.obj
@@ -0,0 +1,456 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_hand.obj
+#
+# Vertices: 148
+# Faces: 292
+#
+####
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+# 292 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_hand_chull.obj b/examples/Atlas/urdf/mesh/r_hand_chull.obj
new file mode 100644
index 0000000..23f3b0b
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_hand_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_hand_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
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+# 27 vertices, 0 vertices normals
+
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+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_larm.obj b/examples/Atlas/urdf/mesh/r_larm.obj
new file mode 100644
index 0000000..2ef7dfe
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_larm.obj
@@ -0,0 +1,641 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_larm.obj
+#
+# Vertices: 217
+# Faces: 408
+#
+####
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+# 408 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_larm_chull.obj b/examples/Atlas/urdf/mesh/r_larm_chull.obj
new file mode 100644
index 0000000..1f4ea26
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_larm_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_larm_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
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+v -0.081890 -0.141295 -0.043010
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+# 27 vertices, 0 vertices normals
+
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+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_lglut.obj b/examples/Atlas/urdf/mesh/r_lglut.obj
new file mode 100644
index 0000000..e4ab0a9
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_lglut.obj
@@ -0,0 +1,1309 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_lglut.obj
+#
+# Vertices: 446
+# Faces: 847
+#
+####
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+# 847 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_lglut_chull.obj b/examples/Atlas/urdf/mesh/r_lglut_chull.obj
new file mode 100644
index 0000000..e65fa9a
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_lglut_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_lglut_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
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+v -0.061582 0.011621 -0.020886
+v -0.062002 -0.021164 -0.001191
+v -0.052572 -0.043957 0.007482
+# 27 vertices, 0 vertices normals
+
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+f 11 12 27
+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_lleg.obj b/examples/Atlas/urdf/mesh/r_lleg.obj
new file mode 100644
index 0000000..3d31de4
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_lleg.obj
@@ -0,0 +1,2319 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_lleg.obj
+#
+# Vertices: 809
+# Faces: 1494
+#
+####
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+# 1494 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_lleg_chull.obj b/examples/Atlas/urdf/mesh/r_lleg_chull.obj
new file mode 100644
index 0000000..8f45b19
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_lleg_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_lleg_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
+v 0.005717 0.057859 -0.032432
+v 0.071035 0.050665 -0.021669
+v 0.021705 -0.060052 -0.007531
+v 0.071030 -0.050931 -0.021748
+v -0.000814 0.047260 -0.310515
+v 0.043715 0.060881 0.014841
+v -0.038900 -0.050041 -0.139933
+v -0.041571 -0.038541 -0.333141
+v -0.038900 0.049773 -0.139933
+v -0.006041 -0.046179 -0.353100
+v 0.042349 -0.058126 -0.074754
+v 0.088630 0.029596 -0.032856
+v 0.060798 0.031625 -0.351242
+v 0.050900 0.044557 -0.353980
+v 0.050900 -0.044824 -0.353980
+v 0.060798 -0.031891 -0.351242
+v 0.088625 -0.029867 -0.032878
+v 0.094751 -0.000134 -0.109988
+v 0.069972 -0.000133 -0.350335
+v 0.038932 -0.051877 0.020755
+v 0.092434 -0.000115 -0.031037
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+v -0.017081 -0.051836 0.019069
+v -0.038098 0.039358 -0.331344
+v -0.001230 -0.023728 -0.438277
+v -0.002300 0.024724 -0.439154
+v -0.041639 0.011187 -0.118129
+# 27 vertices, 0 vertices normals
+
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\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_scap.obj b/examples/Atlas/urdf/mesh/r_scap.obj
new file mode 100644
index 0000000..ff67469
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_scap.obj
@@ -0,0 +1,1067 @@
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+f 378 377 369
+f 369 373 378
+f 379 378 373
+f 373 374 379
+f 380 379 374
+f 374 370 380
+f 375 380 370
+f 370 366 375
+# 671 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_scap_chull.obj b/examples/Atlas/urdf/mesh/r_scap_chull.obj
new file mode 100644
index 0000000..2894e66
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_scap_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_scap_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
+v 0.072767 -0.155769 0.008194
+v 0.072767 -0.155779 -0.029458
+v 0.072767 -0.132839 0.024367
+v 0.071123 0.008312 0.033228
+v 0.069735 0.032030 0.016006
+v -0.087833 0.019014 -0.018184
+v 0.071172 0.011995 -0.046262
+v 0.072767 -0.132848 -0.045631
+v 0.007800 -0.167106 -0.071695
+v -0.023176 -0.171223 0.036994
+v -0.064560 0.029056 0.058354
+v -0.087576 0.029056 0.058354
+v 0.011432 -0.171223 0.036994
+v -0.064561 0.052433 0.044074
+v -0.087576 0.052433 0.044074
+v -0.080849 -0.048098 -0.052932
+v -0.082157 -0.151593 -0.042784
+v 0.087512 -0.060454 0.019807
+v -0.005239 -0.064393 -0.065714
+v 0.069390 0.026546 -0.024023
+v -0.082331 -0.150240 0.011210
+v 0.016816 -0.224838 -0.046365
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+v -0.043713 -0.223215 -0.009086
+v -0.032759 -0.223457 -0.044123
+v -0.020119 -0.224449 0.020600
+v -0.033510 -0.158027 -0.069712
+# 27 vertices, 0 vertices normals
+
+f 7 8 18
+f 13 3 23
+f 3 1 23
+f 4 3 13
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+f 4 5 18
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+f 22 2 8
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+f 1 3 18
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+f 14 11 12
+f 12 15 14
+f 17 27 16
+f 19 27 9
+f 6 12 21
+f 6 15 12
+f 25 23 22
+f 25 24 26
+f 25 26 23
+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_talus.obj b/examples/Atlas/urdf/mesh/r_talus.obj
new file mode 100644
index 0000000..c826f21
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_talus.obj
@@ -0,0 +1,92 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_talus.obj
+#
+# Vertices: 28
+# Faces: 48
+#
+####
+v 0.006590 0.015904 -0.008474
+v 0.006590 -0.016747 -0.008474
+v 0.010622 -0.016747 -0.000100
+v 0.010622 0.015904 -0.000100
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+v -0.002471 -0.016747 -0.010542
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+v -0.009737 -0.016747 0.004546
+v -0.002471 0.015904 0.010341
+v -0.002471 -0.016747 0.010341
+v 0.006590 0.015904 0.008273
+v 0.006590 -0.016747 0.008273
+v -0.016413 0.006858 -0.009229
+v 0.016238 0.006858 -0.009229
+v 0.016238 0.011254 -0.000100
+v -0.016413 0.011254 -0.000100
+v -0.016413 -0.003020 -0.011484
+v 0.016238 -0.003020 -0.011484
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+v 0.016238 -0.010941 -0.005166
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+v 0.016238 -0.003020 0.011283
+v -0.016413 0.006858 0.009028
+v 0.016238 0.006858 0.009028
+# 28 vertices, 0 vertices normals
+
+f 1 4 3
+f 3 2 1
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+f 19 21 18
+f 23 25 18
+f 18 21 23
+f 25 27 18
+f 28 26 24
+f 24 22 28
+f 20 16 28
+f 28 22 20
+f 16 17 28
+# 48 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_uarm.obj b/examples/Atlas/urdf/mesh/r_uarm.obj
new file mode 100644
index 0000000..92738e2
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_uarm.obj
@@ -0,0 +1,850 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_uarm.obj
+#
+# Vertices: 288
+# Faces: 546
+#
+####
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\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_uarm_chull.obj b/examples/Atlas/urdf/mesh/r_uarm_chull.obj
new file mode 100644
index 0000000..4b722f9
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_uarm_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_uarm_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
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\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_uglut.obj b/examples/Atlas/urdf/mesh/r_uglut.obj
new file mode 100644
index 0000000..93246c2
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_uglut.obj
@@ -0,0 +1,742 @@
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diff --git a/examples/Atlas/urdf/mesh/r_uglut_chull.obj b/examples/Atlas/urdf/mesh/r_uglut_chull.obj
new file mode 100644
index 0000000..230077a
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_uglut_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
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+#
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+#
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+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_uleg.obj b/examples/Atlas/urdf/mesh/r_uleg.obj
new file mode 100644
index 0000000..ba4c168
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_uleg.obj
@@ -0,0 +1,3726 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
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+# 2464 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/r_uleg_chull.obj b/examples/Atlas/urdf/mesh/r_uleg_chull.obj
new file mode 100644
index 0000000..33f2b84
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/r_uleg_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object r_uleg_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
+v -0.128024 0.013473 -0.196928
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+v -0.100668 0.058048 -0.221429
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+v -0.121670 -0.019266 -0.106035
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+v -0.110790 -0.046504 -0.219980
+v -0.091498 -0.061663 -0.101093
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+v -0.040340 -0.041827 -0.391602
+v -0.011042 -0.049436 0.016944
+v -0.009904 0.049233 0.018210
+# 27 vertices, 0 vertices normals
+
+f 6 2 4
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+f 11 18 21
+f 21 18 23
+f 2 25 4
+f 12 26 27
+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/utorso.obj b/examples/Atlas/urdf/mesh/utorso.obj
new file mode 100644
index 0000000..6acd1df
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/utorso.obj
@@ -0,0 +1,10874 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object utorso.obj
+#
+# Vertices: 3894
+# Faces: 6964
+#
+####
+v -0.024319 0.111745 0.032934
+v -0.024320 0.170897 0.032934
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+# 6964 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Atlas/urdf/mesh/utorso_chull.obj b/examples/Atlas/urdf/mesh/utorso_chull.obj
new file mode 100644
index 0000000..71bab05
--- /dev/null
+++ b/examples/Atlas/urdf/mesh/utorso_chull.obj
@@ -0,0 +1,93 @@
+####
+#
+# OBJ File Generated by Meshlab
+#
+####
+# Object utorso_chull.obj
+#
+# Vertices: 27
+# Faces: 50
+#
+####
+v 0.032539 -0.156783 0.753842
+v -0.293741 -0.152667 0.679347
+v 0.017266 0.173258 0.000282
+v -0.288954 -0.167352 0.485234
+v 0.215929 -0.098697 0.825145
+v 0.314544 0.169152 0.635927
+v 0.017304 -0.173477 0.000797
+v -0.278758 -0.170369 0.007620
+v 0.254327 -0.050807 0.172335
+v 0.064651 -0.099192 0.829739
+v 0.237092 -0.256176 0.451440
+v 0.314624 -0.158811 0.634749
+v 0.213052 0.095372 0.829794
+v 0.178757 -0.292493 0.417514
+v 0.252567 0.044361 0.158183
+v -0.294428 0.149534 0.678421
+v 0.032113 0.157303 0.753814
+v 0.060147 0.098957 0.828936
+v -0.288857 0.170868 0.009706
+v 0.237091 0.256193 0.451472
+v 0.179044 0.292521 0.417914
+v -0.272395 0.172224 0.484290
+v -0.314709 0.000906 0.214023
+v 0.133763 0.081531 -0.030466
+v 0.144263 -0.068900 -0.036127
+v 0.133395 -0.266829 0.507198
+v 0.133143 0.266942 0.507079
+# 27 vertices, 0 vertices normals
+
+f 25 8 7
+f 10 1 2
+f 14 4 2
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+f 1 26 2
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+f 18 2 16
+f 18 10 2
+f 18 13 10
+f 13 5 10
+f 16 2 23
+f 15 25 9
+# 50 faces, 0 coords texture
+
+# End of File
\ No newline at end of file
diff --git a/examples/Go2/Project.toml b/examples/Go2/Project.toml
new file mode 100644
index 0000000..feb57ff
--- /dev/null
+++ b/examples/Go2/Project.toml
@@ -0,0 +1,4 @@
+[deps]
+MeshCat = "283c5d60-a78f-5afe-a0af-af636b173e11"
+MeshCatMechanisms = "6ad125db-dd91-5488-b820-c1df6aab299d"
+RigidBodyDynamics = "366cf18f-59d5-5db9-a4de-86a9f6786172"
diff --git a/examples/Go2/test.jl b/examples/Go2/test.jl
new file mode 100644
index 0000000..de8e624
--- /dev/null
+++ b/examples/Go2/test.jl
@@ -0,0 +1,66 @@
+using RigidBodyDynamics, MeshCat, MeshCatMechanisms
+using Random, StaticArrays, Rotations, LinearAlgebra
+using ForwardDiff; import ForwardDiff as FD # alias for brevity
+
+const Δt = 0.005 # 200 Hz simulation
+const N = 300 # 1.5 s horizon
+const nd = 12 # DoFs (Go2 has 3×4 legs)
+
+
+URDF_PATH = joinpath("urdf","go2.urdf") # <-- change me
+isfile(URDF_PATH) || error("URDF file not found: $URDF_PATH")
+mech = parse_urdf(URDF_PATH)
+root = RigidBodyDynamics.root_body(mech) # helper to fetch the root body
+state = MechanismState(mech) # positions+velocities
+feet = map(n -> findbody(mech, n),
+ ["FL_foot","FR_foot","RL_foot","RR_foot"]
+) # foot bodies
+
+function rollout(u::AbstractVector)
+ X = zeros(nd*2, N+1) # [q; q̇] trajectory
+ τ = reshape(u, nd, :) # piecewise-constant torques
+ for k in 1:N
+ # set current state
+ set_configuration!(state, X[1:nd,k])
+ set_velocity!(state, X[nd+1:end,k])
+
+ # forward dynamics: q̈ = M⁻¹(τ - C(q, q̇)) ----------------
+ qdd = FDynamics(state, τ[:,k]) # alias to RBD.forward_dynamics!
+ X[1:nd, k+1] = X[1:nd,k] + Δt*X[nd+1:end,k]
+ X[nd+1:end,k+1] = X[nd+1:end,k] + Δt*qdd
+ end
+ return X
+end
+
+hip_body = findbody(mech, "trunk") # Go2 torso link name
+apex_k = 180 # ≈0.9 s
+
+function cost(u)
+ X = rollout(u)
+ q_apex = X[1:nd, apex_k]
+ com_z = center_of_mass(mech, q_apex)[3] # height of CoM
+
+ J = -com_z # higher ⇒ lower cost
+ J += 1e-4*sum(abs2, u) # torque regularizer
+ return J
+end
+
+nx = nd*2
+nu = nd*(N) # control vector length
+
+u = randn(nu) * 0.1 # random seed torques
+lr = 2e-2 # learning rate
+for iter in 1:350
+ g = FD.gradient(cost, u) # ForwardDiff dual propagation
+ u -= lr .* g # vanilla GD step
+ if iter % 25 == 0
+ @info "iter $iter cost=$(cost(u)) ‖∇‖=$(norm(g))"
+ end
+end
+X_opt = rollout(u)
+
+vis = MechanismVisualizer(mech, URDFVisuals(urdf_path))
+open(vis) # launches WebGL viewer
+
+fps = Int(1/Δt)
+setanimation!(vis, X_opt[1:nd,:], fps = fps) # live replay
\ No newline at end of file
diff --git a/examples/Go2/urdf/go2.urdf b/examples/Go2/urdf/go2.urdf
new file mode 100644
index 0000000..0c91557
--- /dev/null
+++ b/examples/Go2/urdf/go2.urdf
@@ -0,0 +1,1375 @@
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\ No newline at end of file