SYMBOL INDEX (396 symbols across 114 files)

FILE: 0_getting_started/simulator0.py
  function screen_projection (line 19) | def screen_projection(x):           # convert simulated coordinates to w...

FILE: 0_getting_started/simulator1.py
  function screen_projection (line 22) | def screen_projection(x):           # convert simulated coordinates to w...

FILE: 0_getting_started/simulator2.py
  function screen_projection (line 28) | def screen_projection(x):           # convert simulated coordinates to w...

FILE: 0_getting_started/square_mesh.py
  function generate (line 3) | def generate(side_length, n_seg):

FILE: 10_mpm_elasticity/simulator.py
  function uniform_grid (line 21) | def uniform_grid(x0, y0, x1, y1, dx):
  function reset_grid (line 53) | def reset_grid():
  function StVK_Hencky_PK1_2D (line 64) | def StVK_Hencky_PK1_2D(F):
  function particle_to_grid_transfer (line 74) | def particle_to_grid_transfer():
  function update_grid (line 101) | def update_grid():
  function grid_to_particle_transfer (line 115) | def grid_to_particle_transfer():
  function update_particle_state (line 143) | def update_particle_state():
  function step (line 149) | def step():

FILE: 11_mpm_plastic/simulator.py
  function poisson_disk_sampling (line 11) | def poisson_disk_sampling(radius, domain_size, k=30):
  function reset_grid (line 102) | def reset_grid():
  function StVK_Hencky_PK1_2D (line 113) | def StVK_Hencky_PK1_2D(F):
  function Drucker_Prager_return_mapping (line 125) | def Drucker_Prager_return_mapping(F, diff_log_J):
  function particle_to_grid_transfer (line 152) | def particle_to_grid_transfer():
  function update_grid (line 181) | def update_grid():
  function grid_to_particle_transfer (line 209) | def grid_to_particle_transfer():
  function update_particle_state (line 244) | def update_particle_state():
  function step (line 259) | def step():

FILE: 11_mpm_plastic/simulator_viscoplastic.py
  function viscoplastic_return_mapping_stvk_2d (line 39) | def viscoplastic_return_mapping_stvk_2d(F_trial, mu_p, lam_p, yield_stre...
  function stvk_stress_2d (line 85) | def stvk_stress_2d(F_elastic, U, V, sig, mu_p, lam_p):
  function p2g2p (line 101) | def p2g2p():
  function reset (line 178) | def reset():

FILE: 11_mpm_sand/simulator.py
  function poisson_disk_sampling (line 11) | def poisson_disk_sampling(radius, domain_size, k=30):
  function reset_grid (line 102) | def reset_grid():
  function StVK_Hencky_PK1_2D (line 113) | def StVK_Hencky_PK1_2D(F):
  function Drucker_Prager_return_mapping (line 125) | def Drucker_Prager_return_mapping(F, diff_log_J):
  function particle_to_grid_transfer (line 152) | def particle_to_grid_transfer():
  function update_grid (line 181) | def update_grid():
  function grid_to_particle_transfer (line 209) | def grid_to_particle_transfer():
  function update_particle_state (line 244) | def update_particle_state():
  function step (line 259) | def step():

FILE: 12_pbd_cloth/constraints/bending.py
  function solve_bending_constraints (line 5) | def solve_bending_constraints(

FILE: 12_pbd_cloth/constraints/stretching.py
  function solve_stretching_constraints (line 5) | def solve_stretching_constraints(

FILE: 12_pbd_cloth/main.py
  class USDExporter (line 18) | class USDExporter:
    method __init__ (line 21) | def __init__(self, output_path="cloth_animation.usd", fps=60, scale=10...
    method export_frame (line 36) | def export_frame(self, positions, indices):
    method save (line 52) | def save(self):
  function reset_constraint_lambdas (line 141) | def reset_constraint_lambdas(
  function substep (line 151) | def substep(grab_id, grab_x, grab_y, grab_z):

FILE: 12_pbd_cloth/utils/cloth_utils.py
  function pin_top_vertices (line 5) | def pin_top_vertices(
  function initialize_colors (line 20) | def initialize_colors(
  function apply_grab (line 36) | def apply_grab(

FILE: 12_pbd_cloth/utils/constraint_finder.py
  function find_constraint_indices (line 4) | def find_constraint_indices(tri_ids_np):
  function find_bottom_corner (line 33) | def find_bottom_corner(pos_np):
  function calculate_quadratic_path_pos (line 55) | def calculate_quadratic_path_pos(start_pos, end_pos, t):

FILE: 12_pbd_cloth/utils/mesh_loader.py
  function load_cloth_data_from_json (line 5) | def load_cloth_data_from_json(filepath="cloth_data.json"):
  function create_cloth_mesh_data (line 30) | def create_cloth_mesh_data(width=20, height=15, spacing=0.1):

FILE: 12_pbd_cloth/xpbd_base.py
  function init_physics (line 11) | def init_physics(
  function pre_solve (line 52) | def pre_solve(
  function post_solve (line 74) | def post_solve(

FILE: 13_pbd_mesh/constraints/edge.py
  function solve_edges (line 5) | def solve_edges(

FILE: 13_pbd_mesh/constraints/volume.py
  function solve_volumes (line 12) | def solve_volumes(

FILE: 13_pbd_mesh/main.py
  function load_dual_mesh_from_json (line 27) | def load_dual_mesh_from_json(filepath):
  class USDExporter (line 53) | class USDExporter:
    method __init__ (line 56) | def __init__(self, output_path="dragon_animation.usd", fps=60, scale=1...
    method export_frame (line 72) | def export_frame(self, vertices, faces):
    method save (line 89) | def save(self):
  function reset_constraint_lambdas (line 202) | def reset_constraint_lambdas(
  function substep (line 212) | def substep():

FILE: 13_pbd_mesh/skinning/hash_grid.py
  function build_hash_grid (line 15) | def build_hash_grid(

FILE: 13_pbd_mesh/skinning/skinning.py
  function compute_skinning_info_hashed (line 18) | def compute_skinning_info_hashed(
  function update_vis_mesh (line 64) | def update_vis_mesh(

FILE: 13_pbd_mesh/xpbd_base.py
  function get_tet_volume (line 12) | def get_tet_volume(p_indices, pos):
  function get_barycentric_coords (line 19) | def get_barycentric_coords(p, a, b, c, d):
  function get_grid_cell (line 30) | def get_grid_cell(p, inv_cell_spacing, grid_size):
  function clamp_to_box (line 36) | def clamp_to_box(p, box_min, box_max):
  function init_physics (line 46) | def init_physics(
  function pre_solve (line 78) | def pre_solve(
  function post_solve (line 101) | def post_solve(

FILE: 14_pbf/constraints/density.py
  function compute_scorr (line 11) | def compute_scorr(pos_ji, h_, poly6_factor_, corr_deltaQ_coeff_, corrK_):
  function solve_density_constraints (line 18) | def solve_density_constraints(

FILE: 14_pbf/constraints/viscosity.py
  function apply_xsph_viscosity (line 19) | def apply_xsph_viscosity(

FILE: 14_pbf/constraints/vorticity.py
  function calculate_vorticity (line 19) | def calculate_vorticity(
  function apply_vorticity_confinement (line 45) | def apply_vorticity_confinement(

FILE: 14_pbf/main.py
  function round_up (line 28) | def round_up(f, s):
  function substep (line 86) | def substep():
  function main (line 132) | def main():

FILE: 14_pbf/scene.py
  function init_particles (line 5) | def init_particles(
  function move_wall (line 31) | def move_wall(
  function update_particle_colors (line 67) | def update_particle_colors(
  function create_box_edges (line 96) | def create_box_edges(wall_states, boundary):
  function create_original_box_edges (line 120) | def create_original_box_edges(boundary, epsilon):

FILE: 14_pbf/sph_base.py
  function poly6_value (line 13) | def poly6_value(s, h_, poly6_factor_):
  function spiky_gradient (line 23) | def spiky_gradient(r, h_, spiky_grad_factor_):
  function get_cell (line 35) | def get_cell(pos, cell_recpr_):
  function is_in_grid (line 41) | def is_in_grid(c, grid_size_x: int, grid_size_y: int, grid_size_z: int):
  function confine_position_to_boundary (line 47) | def confine_position_to_boundary(p, wall_states_, boundary_x: float, bou...
  function pre_solve (line 62) | def pre_solve(
  function post_solve (line 125) | def post_solve(

FILE: 1_mass_spring/InertiaEnergy.py
  function val (line 3) | def val(x, x_tilde, m):
  function grad (line 10) | def grad(x, x_tilde, m):
  function hess (line 16) | def hess(x, x_tilde, m):

FILE: 1_mass_spring/MassSpringEnergy.py
  function val (line 4) | def val(x, e, l2, k):
  function grad (line 11) | def grad(x, e, l2, k):
  function hess (line 20) | def hess(x, e, l2, k):

FILE: 1_mass_spring/simulator.py
  function screen_projection (line 36) | def screen_projection(x):

FILE: 1_mass_spring/square_mesh.py
  function generate (line 5) | def generate(side_length, n_seg):
  function write_to_file (line 33) | def write_to_file(frameNum, x, n_seg):

FILE: 1_mass_spring/time_integrator.py
  function step_forward (line 12) | def step_forward(x, e, v, m, l2, k, h, tol):
  function IP_val (line 38) | def IP_val(x, e, x_tilde, m, l2, k, h):
  function IP_grad (line 41) | def IP_grad(x, e, x_tilde, m, l2, k, h):
  function IP_hess (line 44) | def IP_hess(x, e, x_tilde, m, l2, k, h):
  function search_dir (line 52) | def search_dir(x, e, x_tilde, m, l2, k, h):

FILE: 1_mass_spring/utils.py
  function make_PSD (line 4) | def make_PSD(hess):

FILE: 2_dirichlet/GravityEnergy.py
  function val (line 5) | def val(x, m):
  function grad (line 11) | def grad(x, m):

FILE: 2_dirichlet/InertiaEnergy.py
  function val (line 3) | def val(x, x_tilde, m):
  function grad (line 10) | def grad(x, x_tilde, m):
  function hess (line 16) | def hess(x, x_tilde, m):

FILE: 2_dirichlet/MassSpringEnergy.py
  function val (line 4) | def val(x, e, l2, k):
  function grad (line 11) | def grad(x, e, l2, k):
  function hess (line 20) | def hess(x, e, l2, k):

FILE: 2_dirichlet/simulator.py
  function screen_projection (line 40) | def screen_projection(x):

FILE: 2_dirichlet/square_mesh.py
  function generate (line 4) | def generate(side_length, n_seg):
  function write_to_file (line 30) | def write_to_file(frameNum, x, n_seg):

FILE: 2_dirichlet/time_integrator.py
  function step_forward (line 13) | def step_forward(x, e, v, m, l2, k, is_DBC, h, tol):
  function IP_val (line 40) | def IP_val(x, e, x_tilde, m, l2, k, h):
  function IP_grad (line 43) | def IP_grad(x, e, x_tilde, m, l2, k, h):
  function IP_hess (line 47) | def IP_hess(x, e, x_tilde, m, l2, k, h):
  function search_dir (line 56) | def search_dir(x, e, x_tilde, m, l2, k, is_DBC, h):

FILE: 2_dirichlet/utils.py
  function make_PSD (line 4) | def make_PSD(hess):

FILE: 3_contact/BarrierEnergy.py
  function val (line 8) | def val(x, y_ground, contact_area):
  function grad (line 17) | def grad(x, y_ground, contact_area):
  function hess (line 26) | def hess(x, y_ground, contact_area):
  function init_step_size (line 40) | def init_step_size(x, y_ground, p):

FILE: 3_contact/GravityEnergy.py
  function val (line 5) | def val(x, m):
  function grad (line 11) | def grad(x, m):

FILE: 3_contact/InertiaEnergy.py
  function val (line 3) | def val(x, x_tilde, m):
  function grad (line 10) | def grad(x, x_tilde, m):
  function hess (line 16) | def hess(x, x_tilde, m):

FILE: 3_contact/MassSpringEnergy.py
  function val (line 4) | def val(x, e, l2, k):
  function grad (line 11) | def grad(x, e, l2, k):
  function hess (line 20) | def hess(x, e, l2, k):

FILE: 3_contact/simulator.py
  function screen_projection (line 41) | def screen_projection(x):

FILE: 3_contact/square_mesh.py
  function generate (line 4) | def generate(side_length, n_seg):
  function write_to_file (line 30) | def write_to_file(frameNum, x, n_seg):

FILE: 3_contact/time_integrator.py
  function step_forward (line 14) | def step_forward(x, e, v, m, l2, k, y_ground, contact_area, is_DBC, h, t...
  function IP_val (line 42) | def IP_val(x, e, x_tilde, m, l2, k, y_ground, contact_area, h):
  function IP_grad (line 45) | def IP_grad(x, e, x_tilde, m, l2, k, y_ground, contact_area, h):
  function IP_hess (line 48) | def IP_hess(x, e, x_tilde, m, l2, k, y_ground, contact_area, h):
  function search_dir (line 59) | def search_dir(x, e, x_tilde, m, l2, k, y_ground, contact_area, is_DBC, h):

FILE: 3_contact/utils.py
  function make_PSD (line 4) | def make_PSD(hess):

FILE: 4_friction/BarrierEnergy.py
  function val (line 8) | def val(x, n, o, contact_area):
  function grad (line 17) | def grad(x, n, o, contact_area):
  function hess (line 26) | def hess(x, n, o, contact_area):
  function init_step_size (line 41) | def init_step_size(x, n, o, p):
  function compute_mu_lambda (line 51) | def compute_mu_lambda(x, n, o, contact_area, mu):

FILE: 4_friction/FrictionEnergy.py
  function f0 (line 7) | def f0(vbarnorm, epsv, hhat):
  function f1_div_vbarnorm (line 15) | def f1_div_vbarnorm(vbarnorm, epsv):
  function f_hess_term (line 21) | def f_hess_term(vbarnorm, epsv):
  function val (line 29) | def val(v, mu_lambda, hhat, n):
  function grad (line 38) | def grad(v, mu_lambda, hhat, n):
  function hess (line 47) | def hess(v, mu_lambda, hhat, n):

FILE: 4_friction/GravityEnergy.py
  function val (line 5) | def val(x, m):
  function grad (line 11) | def grad(x, m):

FILE: 4_friction/InertiaEnergy.py
  function val (line 3) | def val(x, x_tilde, m):
  function grad (line 10) | def grad(x, x_tilde, m):
  function hess (line 16) | def hess(x, x_tilde, m):

FILE: 4_friction/MassSpringEnergy.py
  function val (line 4) | def val(x, e, l2, k):
  function grad (line 11) | def grad(x, e, l2, k):
  function hess (line 20) | def hess(x, e, l2, k):

FILE: 4_friction/simulator.py
  function screen_projection (line 46) | def screen_projection(x):

FILE: 4_friction/square_mesh.py
  function generate (line 4) | def generate(side_length, n_seg):
  function write_to_file (line 30) | def write_to_file(frameNum, x, n_seg):

FILE: 4_friction/time_integrator.py
  function step_forward (line 16) | def step_forward(x, e, v, m, l2, k, n, o, contact_area, mu, is_DBC, h, t...
  function IP_val (line 44) | def IP_val(x, e, x_tilde, m, l2, k, n, o, contact_area, v, mu_lambda, h):
  function IP_grad (line 47) | def IP_grad(x, e, x_tilde, m, l2, k, n, o, contact_area, v, mu_lambda, h):
  function IP_hess (line 50) | def IP_hess(x, e, x_tilde, m, l2, k, n, o, contact_area, v, mu_lambda, h):
  function search_dir (line 64) | def search_dir(x, e, x_tilde, m, l2, k, n, o, contact_area, v, mu_lambda...

FILE: 4_friction/utils.py
  function make_PSD (line 4) | def make_PSD(hess):

FILE: 5_mov_dirichlet/BarrierEnergy.py
  function val (line 7) | def val(x, n, o, contact_area):
  function grad (line 25) | def grad(x, n, o, contact_area):
  function hess (line 45) | def hess(x, n, o, contact_area):
  function init_step_size (line 74) | def init_step_size(x, n, o, p):
  function compute_mu_lambda (line 90) | def compute_mu_lambda(x, n, o, contact_area, mu):

FILE: 5_mov_dirichlet/FrictionEnergy.py
  function f0 (line 6) | def f0(vbarnorm, epsv, hhat):
  function f1_div_vbarnorm (line 14) | def f1_div_vbarnorm(vbarnorm, epsv):
  function f_hess_term (line 20) | def f_hess_term(vbarnorm, epsv):
  function val (line 26) | def val(v, mu_lambda, hhat, n):
  function grad (line 35) | def grad(v, mu_lambda, hhat, n):
  function hess (line 44) | def hess(v, mu_lambda, hhat, n):

FILE: 5_mov_dirichlet/GravityEnergy.py
  function val (line 5) | def val(x, m):
  function grad (line 11) | def grad(x, m):

FILE: 5_mov_dirichlet/InertiaEnergy.py
  function val (line 3) | def val(x, x_tilde, m):
  function grad (line 10) | def grad(x, x_tilde, m):
  function hess (line 16) | def hess(x, x_tilde, m):

FILE: 5_mov_dirichlet/MassSpringEnergy.py
  function val (line 4) | def val(x, e, l2, k):
  function grad (line 11) | def grad(x, e, l2, k):
  function hess (line 20) | def hess(x, e, l2, k):

FILE: 5_mov_dirichlet/SpringEnergy.py
  function val (line 3) | def val(x, m, DBC, DBC_target, k):
  function grad (line 10) | def grad(x, m, DBC, DBC_target, k):
  function hess (line 16) | def hess(x, m, DBC, DBC_target, k):

FILE: 5_mov_dirichlet/simulator.py
  function screen_projection (line 50) | def screen_projection(x):

FILE: 5_mov_dirichlet/square_mesh.py
  function generate (line 4) | def generate(side_length, n_seg):
  function write_to_file (line 30) | def write_to_file(frameNum, x, n_seg):

FILE: 5_mov_dirichlet/time_integrator.py
  function step_forward (line 16) | def step_forward(x, e, v, m, l2, k, n, o, contact_area, mu, is_DBC, DBC,...
  function IP_val (line 58) | def IP_val(x, e, x_tilde, m, l2, k, n, o, contact_area, v, mu_lambda, DB...
  function IP_grad (line 66) | def IP_grad(x, e, x_tilde, m, l2, k, n, o, contact_area, v, mu_lambda, D...
  function IP_hess (line 74) | def IP_hess(x, e, x_tilde, m, l2, k, n, o, contact_area, v, mu_lambda, D...
  function search_dir (line 90) | def search_dir(x, e, x_tilde, m, l2, k, n, o, contact_area, v, mu_lambda...

FILE: 5_mov_dirichlet/utils.py
  function make_PSD (line 4) | def make_PSD(hess):

FILE: 6_inv_free/BarrierEnergy.py
  function val (line 7) | def val(x, n, o, contact_area):
  function grad (line 24) | def grad(x, n, o, contact_area):
  function hess (line 43) | def hess(x, n, o, contact_area):
  function init_step_size (line 71) | def init_step_size(x, n, o, p):
  function compute_mu_lambda (line 86) | def compute_mu_lambda(x, n, o, contact_area, mu):

FILE: 6_inv_free/FrictionEnergy.py
  function f0 (line 6) | def f0(vbarnorm, epsv, hhat):
  function f1_div_vbarnorm (line 14) | def f1_div_vbarnorm(vbarnorm, epsv):
  function f_hess_term (line 20) | def f_hess_term(vbarnorm, epsv):
  function val (line 26) | def val(v, mu_lambda, hhat, n):
  function grad (line 35) | def grad(v, mu_lambda, hhat, n):
  function hess (line 44) | def hess(v, mu_lambda, hhat, n):

FILE: 6_inv_free/GravityEnergy.py
  function val (line 5) | def val(x, m):
  function grad (line 11) | def grad(x, m):

FILE: 6_inv_free/InertiaEnergy.py
  function val (line 3) | def val(x, x_tilde, m):
  function grad (line 10) | def grad(x, x_tilde, m):
  function hess (line 16) | def hess(x, x_tilde, m):

FILE: 6_inv_free/NeoHookeanEnergy.py
  function polar_svd (line 6) | def polar_svd(F):
  function dPsi_div_dsigma (line 16) | def dPsi_div_dsigma(s, mu, lam):
  function d2Psi_div_dsigma2 (line 24) | def d2Psi_div_dsigma2(s, mu, lam):
  function B_left_coef (line 33) | def B_left_coef(s, mu, lam):
  function Psi (line 37) | def Psi(F, mu, lam):
  function dPsi_div_dF (line 42) | def dPsi_div_dF(F, mu, lam):
  function d2Psi_div_dF2 (line 46) | def d2Psi_div_dF2(F, mu, lam):
  function deformation_grad (line 85) | def deformation_grad(x, elemVInd, IB):
  function dPsi_div_dx (line 89) | def dPsi_div_dx(P, IB):  # applying chain-rule, dPsi_div_dx = dPsi_div_d...
  function d2Psi_div_dx2 (line 96) | def d2Psi_div_dx2(dP_div_dF, IB):  # applying chain-rule, d2Psi_div_dx2 ...
  function val (line 133) | def val(x, e, vol, IB, mu, lam):
  function grad (line 140) | def grad(x, e, vol, IB, mu, lam):
  function hess (line 150) | def hess(x, e, vol, IB, mu, lam):
  function init_step_size (line 168) | def init_step_size(x, e, p):

FILE: 6_inv_free/SpringEnergy.py
  function val (line 3) | def val(x, m, DBC, DBC_target, k):
  function grad (line 10) | def grad(x, m, DBC, DBC_target, k):
  function hess (line 16) | def hess(x, m, DBC, DBC_target, k):

FILE: 6_inv_free/simulator.py
  function screen_projection (line 54) | def screen_projection(x):

FILE: 6_inv_free/square_mesh.py
  function generate (line 4) | def generate(side_length, n_seg):
  function write_to_file (line 28) | def write_to_file(frameNum, x, e):

FILE: 6_inv_free/time_integrator.py
  function step_forward (line 19) | def step_forward(x, e, v, m, vol, IB, mu_lame, lam, n, o, contact_area, ...
  function IP_val (line 59) | def IP_val(x, e, x_tilde, m, vol, IB, mu_lame, lam, n, o, contact_area, ...
  function IP_grad (line 67) | def IP_grad(x, e, x_tilde, m, vol, IB, mu_lame, lam, n, o, contact_area,...
  function IP_hess (line 75) | def IP_hess(x, e, x_tilde, m, vol, IB, mu_lame, lam, n, o, contact_area,...
  function search_dir (line 91) | def search_dir(x, e, x_tilde, m, vol, IB, mu_lame, lam, n, o, contact_ar...

FILE: 6_inv_free/utils.py
  function make_PSD (line 5) | def make_PSD(hess):
  function smallest_positive_real_root_quad (line 13) | def smallest_positive_real_root_quad(a, b, c, tol = 1e-6):

FILE: 7_self_contact/BarrierEnergy.py
  function val (line 12) | def val(x, n, o, bp, be, contact_area):
  function grad (line 41) | def grad(x, n, o, bp, be, contact_area):
  function hess (line 75) | def hess(x, n, o, bp, be, contact_area):
  function init_step_size (line 125) | def init_step_size(x, n, o, bp, be, p):
  function compute_mu_lambda (line 150) | def compute_mu_lambda(x, n, o, bp, be, contact_area, mu):

FILE: 7_self_contact/FrictionEnergy.py
  function f0 (line 6) | def f0(vbarnorm, epsv, hhat):
  function f1_div_vbarnorm (line 14) | def f1_div_vbarnorm(vbarnorm, epsv):
  function f_hess_term (line 20) | def f_hess_term(vbarnorm, epsv):
  function val (line 26) | def val(v, mu_lambda, hhat, n):
  function grad (line 36) | def grad(v, mu_lambda, hhat, n):
  function hess (line 46) | def hess(v, mu_lambda, hhat, n):

FILE: 7_self_contact/GravityEnergy.py
  function val (line 5) | def val(x, m):
  function grad (line 11) | def grad(x, m):

FILE: 7_self_contact/InertiaEnergy.py
  function val (line 3) | def val(x, x_tilde, m):
  function grad (line 10) | def grad(x, x_tilde, m):
  function hess (line 16) | def hess(x, x_tilde, m):

FILE: 7_self_contact/NeoHookeanEnergy.py
  function polar_svd (line 5) | def polar_svd(F):
  function dPsi_div_dsigma (line 15) | def dPsi_div_dsigma(s, mu, lam):
  function d2Psi_div_dsigma2 (line 23) | def d2Psi_div_dsigma2(s, mu, lam):
  function B_left_coef (line 32) | def B_left_coef(s, mu, lam):
  function Psi (line 36) | def Psi(F, mu, lam):
  function dPsi_div_dF (line 41) | def dPsi_div_dF(F, mu, lam):
  function d2Psi_div_dF2 (line 45) | def d2Psi_div_dF2(F, mu, lam):
  function deformation_grad (line 82) | def deformation_grad(x, elemVInd, IB):
  function dPsi_div_dx (line 86) | def dPsi_div_dx(P, IB):  # applying chain-rule, dPsi_div_dx = dPsi_div_d...
  function d2Psi_div_dx2 (line 93) | def d2Psi_div_dx2(dP_div_dF, IB):  # applying chain-rule, d2Psi_div_dx2 ...
  function val (line 128) | def val(x, e, vol, IB, mu, lam):
  function grad (line 135) | def grad(x, e, vol, IB, mu, lam):
  function hess (line 145) | def hess(x, e, vol, IB, mu, lam):
  function init_step_size (line 161) | def init_step_size(x, e, p):

FILE: 7_self_contact/SpringEnergy.py
  function val (line 3) | def val(x, m, DBC, DBC_target, k):
  function grad (line 10) | def grad(x, m, DBC, DBC_target, k):
  function hess (line 16) | def hess(x, m, DBC, DBC_target, k):

FILE: 7_self_contact/distance/CCD.py
  function bbox_overlap (line 9) | def bbox_overlap(p, e0, e1, dp, de0, de1, toc_upperbound):
  function narrow_phase_CCD (line 23) | def narrow_phase_CCD(_p, _e0, _e1, _dp, _de0, _de1, toc_upperbound):

FILE: 7_self_contact/distance/PointEdgeDistance.py
  function val (line 7) | def val(p, e0, e1):
  function grad (line 17) | def grad(p, e0, e1):
  function hess (line 30) | def hess(p, e0, e1):

FILE: 7_self_contact/distance/PointLineDistance.py
  function val (line 4) | def val(p, e0, e1):
  function grad (line 9) | def grad(p, e0, e1):
  function hess (line 29) | def hess(p, e0, e1):

FILE: 7_self_contact/distance/PointPointDistance.py
  function val (line 3) | def val(p0, p1):
  function grad (line 7) | def grad(p0, p1):
  function hess (line 11) | def hess(p0, p1):

FILE: 7_self_contact/simulator.py
  function screen_projection (line 55) | def screen_projection(x):

FILE: 7_self_contact/square_mesh.py
  function generate (line 4) | def generate(side_length, n_seg):
  function find_boundary (line 27) | def find_boundary(e):
  function write_to_file (line 47) | def write_to_file(frameNum, x, e):

FILE: 7_self_contact/time_integrator.py
  function step_forward (line 16) | def step_forward(x, e, v, m, vol, IB, mu_lame, lam, n, o, bp, be, contac...
  function IP_val (line 54) | def IP_val(x, e, x_tilde, m, vol, IB, mu_lame, lam, n, o, bp, be, contac...
  function IP_grad (line 62) | def IP_grad(x, e, x_tilde, m, vol, IB, mu_lame, lam, n, o, bp, be, conta...
  function IP_hess (line 70) | def IP_hess(x, e, x_tilde, m, vol, IB, mu_lame, lam, n, o, bp, be, conta...
  function search_dir (line 86) | def search_dir(x, e, x_tilde, m, vol, IB, mu_lame, lam, n, o, bp, be, co...

FILE: 7_self_contact/utils.py
  function make_PSD (line 5) | def make_PSD(hess):
  function smallest_positive_real_root_quad (line 12) | def smallest_positive_real_root_quad(a, b, c, tol = 1e-6):

FILE: 8_self_friction/BarrierEnergy.py
  function val (line 12) | def val(x, n, o, bp, be, contact_area):
  function grad (line 39) | def grad(x, n, o, bp, be, contact_area):
  function hess (line 71) | def hess(x, n, o, bp, be, contact_area):
  function init_step_size (line 119) | def init_step_size(x, n, o, bp, be, p):
  function compute_mu_lambda (line 142) | def compute_mu_lambda(x, n, o, bp, be, contact_area, mu):

FILE: 8_self_friction/FrictionEnergy.py
  function f0 (line 6) | def f0(vbarnorm, epsv, hhat):
  function f1_div_vbarnorm (line 14) | def f1_div_vbarnorm(vbarnorm, epsv):
  function f_hess_term (line 20) | def f_hess_term(vbarnorm, epsv):
  function val (line 26) | def val(v, mu_lambda, mu_lambda_self, hhat, n):
  function grad (line 45) | def grad(v, mu_lambda, mu_lambda_self, hhat, n):
  function hess (line 67) | def hess(v, mu_lambda, mu_lambda_self, hhat, n):

FILE: 8_self_friction/GravityEnergy.py
  function val (line 5) | def val(x, m):
  function grad (line 11) | def grad(x, m):

FILE: 8_self_friction/InertiaEnergy.py
  function val (line 3) | def val(x, x_tilde, m):
  function grad (line 10) | def grad(x, x_tilde, m):
  function hess (line 16) | def hess(x, x_tilde, m):

FILE: 8_self_friction/NeoHookeanEnergy.py
  function polar_svd (line 5) | def polar_svd(F):
  function dPsi_div_dsigma (line 15) | def dPsi_div_dsigma(s, mu, lam):
  function d2Psi_div_dsigma2 (line 23) | def d2Psi_div_dsigma2(s, mu, lam):
  function B_left_coef (line 32) | def B_left_coef(s, mu, lam):
  function Psi (line 36) | def Psi(F, mu, lam):
  function dPsi_div_dF (line 41) | def dPsi_div_dF(F, mu, lam):
  function d2Psi_div_dF2 (line 45) | def d2Psi_div_dF2(F, mu, lam):
  function deformation_grad (line 82) | def deformation_grad(x, elemVInd, IB):
  function dPsi_div_dx (line 86) | def dPsi_div_dx(P, IB):  # applying chain-rule, dPsi_div_dx = dPsi_div_d...
  function d2Psi_div_dx2 (line 93) | def d2Psi_div_dx2(dP_div_dF, IB):  # applying chain-rule, d2Psi_div_dx2 ...
  function val (line 128) | def val(x, e, vol, IB, mu, lam):
  function grad (line 135) | def grad(x, e, vol, IB, mu, lam):
  function hess (line 145) | def hess(x, e, vol, IB, mu, lam):
  function init_step_size (line 161) | def init_step_size(x, e, p):

FILE: 8_self_friction/SpringEnergy.py
  function val (line 3) | def val(x, m, DBC, DBC_target, k):
  function grad (line 10) | def grad(x, m, DBC, DBC_target, k):
  function hess (line 16) | def hess(x, m, DBC, DBC_target, k):

FILE: 8_self_friction/distance/CCD.py
  function bbox_overlap (line 8) | def bbox_overlap(p, e0, e1, dp, de0, de1, toc_upperbound):
  function narrow_phase_CCD (line 20) | def narrow_phase_CCD(_p, _e0, _e1, _dp, _de0, _de1, toc_upperbound):

FILE: 8_self_friction/distance/PointEdgeDistance.py
  function val (line 6) | def val(p, e0, e1):
  function grad (line 16) | def grad(p, e0, e1):
  function hess (line 28) | def hess(p, e0, e1):
  function tangent (line 52) | def tangent(p, e0, e1):

FILE: 8_self_friction/distance/PointLineDistance.py
  function val (line 3) | def val(p, e0, e1):
  function grad (line 8) | def grad(p, e0, e1):
  function hess (line 27) | def hess(p, e0, e1):

FILE: 8_self_friction/distance/PointPointDistance.py
  function val (line 3) | def val(p0, p1):
  function grad (line 7) | def grad(p0, p1):
  function hess (line 11) | def hess(p0, p1):

FILE: 8_self_friction/simulator.py
  function screen_projection (line 53) | def screen_projection(x):

FILE: 8_self_friction/square_mesh.py
  function generate (line 4) | def generate(side_length, n_seg):
  function find_boundary (line 26) | def find_boundary(e):
  function write_to_file (line 45) | def write_to_file(frameNum, x, e):

FILE: 8_self_friction/time_integrator.py
  function step_forward (line 16) | def step_forward(x, e, v, m, vol, IB, mu_lame, lam, n, o, bp, be, contac...
  function IP_val (line 54) | def IP_val(x, e, x_tilde, m, vol, IB, mu_lame, lam, n, o, bp, be, contac...
  function IP_grad (line 62) | def IP_grad(x, e, x_tilde, m, vol, IB, mu_lame, lam, n, o, bp, be, conta...
  function IP_hess (line 70) | def IP_hess(x, e, x_tilde, m, vol, IB, mu_lame, lam, n, o, bp, be, conta...
  function search_dir (line 86) | def search_dir(x, e, x_tilde, m, vol, IB, mu_lame, lam, n, o, bp, be, co...

FILE: 8_self_friction/utils.py
  function make_PSD (line 5) | def make_PSD(hess):
  function smallest_positive_real_root_quad (line 12) | def smallest_positive_real_root_quad(a, b, c, tol = 1e-6):

FILE: 9_reduced_DOF/BarrierEnergy.py
  function val (line 8) | def val(x, y_ground, contact_area):
  function grad (line 17) | def grad(x, y_ground, contact_area):
  function hess (line 26) | def hess(x, y_ground, contact_area):
  function init_step_size (line 40) | def init_step_size(x, y_ground, p):

FILE: 9_reduced_DOF/GravityEnergy.py
  function val (line 5) | def val(x, m):
  function grad (line 11) | def grad(x, m):

FILE: 9_reduced_DOF/InertiaEnergy.py
  function val (line 3) | def val(x, x_tilde, m):
  function grad (line 10) | def grad(x, x_tilde, m):
  function hess (line 16) | def hess(x, x_tilde, m):

FILE: 9_reduced_DOF/NeoHookeanEnergy.py
  function polar_svd (line 6) | def polar_svd(F):
  function dPsi_div_dsigma (line 16) | def dPsi_div_dsigma(s, mu, lam):
  function d2Psi_div_dsigma2 (line 24) | def d2Psi_div_dsigma2(s, mu, lam):
  function B_left_coef (line 33) | def B_left_coef(s, mu, lam):
  function Psi (line 37) | def Psi(F, mu, lam):
  function dPsi_div_dF (line 42) | def dPsi_div_dF(F, mu, lam):
  function d2Psi_div_dF2 (line 46) | def d2Psi_div_dF2(F, mu, lam, project_PSD = True):
  function deformation_grad (line 89) | def deformation_grad(x, elemVInd, IB):
  function dPsi_div_dx (line 93) | def dPsi_div_dx(P, IB):  # applying chain-rule, dPsi_div_dx = dPsi_div_d...
  function d2Psi_div_dx2 (line 100) | def d2Psi_div_dx2(dP_div_dF, IB):  # applying chain-rule, d2Psi_div_dx2 ...
  function val (line 137) | def val(x, e, vol, IB, mu, lam):
  function grad (line 144) | def grad(x, e, vol, IB, mu, lam):
  function hess (line 154) | def hess(x, e, vol, IB, mu, lam, project_PSD = True):
  function init_step_size (line 172) | def init_step_size(x, e, p):

FILE: 9_reduced_DOF/linear.py
  function generate_2d_mesh (line 38) | def generate_2d_mesh(L_mesh, H_mesh, Nx_mesh, Ny_mesh):
  function get_element_matrices (line 53) | def get_element_matrices(element_nodes, D, rho, t):
  function animate (line 206) | def animate(frame):

FILE: 9_reduced_DOF/simulator.py
  function screen_projection (line 55) | def screen_projection(x):

FILE: 9_reduced_DOF/square_mesh.py
  function generate (line 4) | def generate(side_length, n_seg):
  function write_to_file (line 28) | def write_to_file(frameNum, x, e):

FILE: 9_reduced_DOF/time_integrator.py
  function step_forward (line 14) | def step_forward(x, e, v, m, vol, IB, mu_lame, lam, y_ground, contact_ar...
  function IP_val (line 42) | def IP_val(x, e, x_tilde, m, vol, IB, mu_lame, lam, y_ground, contact_ar...
  function IP_grad (line 45) | def IP_grad(x, e, x_tilde, m, vol, IB, mu_lame, lam, y_ground, contact_a...
  function IP_hess (line 48) | def IP_hess(x, e, x_tilde, m, vol, IB, mu_lame, lam, y_ground, contact_a...
  function search_dir (line 60) | def search_dir(x, e, x_tilde, m, vol, IB, mu_lame, lam, y_ground, contac...

FILE: 9_reduced_DOF/utils.py
  function make_PSD (line 10) | def make_PSD(hess):
  function smallest_positive_real_root_quad (line 18) | def smallest_positive_real_root_quad(a, b, c, tol = 1e-6):
  function compute_abd_anchor_basis (line 38) | def compute_abd_anchor_basis(x):
  function compute_reduced_basis (line 54) | def compute_reduced_basis(x, e, vol, IB, mu_lame, lam, method, order):