Documentation (C++ header only library)

• Generalized Dual numbers
  • audi::gdual
    • _container()
    • _container()
    • _poly()
    • _poly()
    • operator==
    • operator!=
    • operator<
    • operator>
    • operator+
    • operator-
    • operator*
    • operator/
    • operator+=()
    • operator-=()
    • operator*=()
    • operator/=()
    • operator-()
    • operator+()
    • cf_type
    • key_type
    • p_type
    • gdual()
    • gdual()
    • gdual()
    • ~gdual()
    • gdual()
    • gdual()
    • gdual()
    • gdual()
    • operator=()
    • operator=()
    • get_symbol_set_size()
    • get_symbol_set()
    • extend_symbol_set()
    • integrate()
    • partial()
    • subs()
    • subs()
    • trim()
    • extract_terms()
    • evaluate()
    • degree()
    • get_order()
    • find_cf()
    • find_cf()
    • get_derivative()
    • get_derivative()
    • get_derivative()
    • constant_cf()
    • is_zero()
    • info()
    • operator<<
• Mathematical functions
  • exp()
  • log()
  • pow()
  • binomial()
  • pow()
  • pow()
  • pow()
  • sqrt()
  • cbrt()
  • sin()
  • cos()
  • sin_and_cos()
  • tan()
  • sinh()
  • cosh()
  • sinh_and_cosh()
  • tanh()
  • atanh()
  • atan()
  • asinh()
  • acosh()
  • asin()
  • acos()
  • abs()
  • abs()
• Utilities
  • invert_map()
• Taylor models
  • audi::taylor_model
    • taylor_model()
    • operator=()
    • taylor_model()
    • operator=()
    • taylor_model()
    • ~taylor_model()
    • taylor_model()
    • taylor_model()
    • get_tpol()
    • get_rem()
    • get_exp()
    • get_dom()
    • get_order()
    • get_ndim()
    • set_tpol()
    • set_rem()
    • set_exp()
    • set_dom()
    • extend_symbol_set()
    • get_bounds()
    • operator+=()
    • operator-=()
    • operator-()
    • operator*=()
    • operator/=()
    • operator==()
    • operator!=()
    • identity()
    • identity()
    • get_bounds()
    • get_common_map()
    • trim_map()
    • interval_equal()
    • interval_equal()
    • map_interval_equal()
    • map_equal()
    • operator+
    • operator-
    • operator*
    • operator/
    • operator<<
• Taylor models functions
  • factorial2()
  • pow()
  • pow()
  • exp()
  • log()
  • sqrt()
  • sin()
  • cos()
  • sin_and_cos()
  • tan()
  • sinh()
  • cosh()
  • sinh_and_cosh()
  • tanh()
  • asin_derivative()
  • asin()
  • acos()
  • atan()
  • asinh()
  • acosh()
  • atanh()
  • abs()
• Taylor models bounding
  • generate_combinations()
  • get_poly()
  • get_ndim()
  • get_max_degrees()
  • get_coefficient()
  • get_a_matrix_vec()
  • binomial()
  • binom_product()
  • get_d_acc_matrix()
  • get_d_matrix()
  • get_lower_pascal_matrix()
  • build_dim_to_var_map()
  • get_q_matrix()
  • shift_indices()
  • get_cycled_2d_array_vec()
  • get_titi_base_lambda_generalbox()
  • get_titi_bernstein_patch_ndim_generalbox()
• Taylor models utilities
  • matmul()
  • transpose()
  • operator<<()
  • operator<<()