ddg.math package

Subpackages

• ddg.math.parametrizations package
  • Submodules
    • ddg.math.parametrizations.confocal2d module
      • confocal_conics_sqrt()
      • confocal_conics_trigonometric()
      • confocal_conics_concentric()
      • confocal_conics_ic_ellipse()
      • confocal_conics_ic_hyperbola()
      • confocal_conics_hyperbolic_pencil()
    • ddg.math.parametrizations.confocal3d module
      • confocal_coordinates_elliptic()
      • confocal_coordinates_circles_normalized()
      • minkowski_confocal_coordinates()
      • minkowski_confocal_coordinates2()
      • minkowski_confocal_quadrics()
      • octahedral_grid_planes()
      • octahedral_grid_planes2()
    • ddg.math.parametrizations.discrete_confocal2d module
      • discrete_confocal_conics_gamma()
      • discrete_confocal_conics_gamma_u1()
      • discrete_confocal_conics_gamma_u2()
      • discrete_confocal_conics_trigonometric()
      • discrete_confocal_conics_trigonometric_u1()
      • discrete_confocal_conics_trigonometric_u2()
      • discrete_confocal_conics_concentric()
      • discrete_confocal_conics_concentric_u1()
      • discrete_confocal_conics_concentric_u2()
      • discrete_confocal_conics_ic_ellipse()
      • discrete_confocal_conics_ic_ellipse_u1()
      • discrete_confocal_conics_ic_ellipse_u2()
      • discrete_confocal_conics_ic_hyperbola()
      • discrete_confocal_conics_hyperbolic_pencil()
      • discrete_confocal_conics_hyperbolic_pencil_u1()
      • discrete_confocal_conics_hyperbolic_pencil_u2()
    • ddg.math.parametrizations.discrete_confocal3d module
      • discrete_confocal_coordinates_gamma()
    • ddg.math.parametrizations.discrete_ellipsoids module
      • delta()
      • q()
      • abc()
      • g1_function()
      • g2_function()
      • ellipsoid()
  • Module contents
    • circle()
    • elliptic_curve_jacobi()
    • elliptic_curve_jacobi_domain()
    • mobius_strip()
    • sphere()
    • torus()

Submodules

• ddg.math.complex module
  • complex_sample()
  • to_array()
  • to_complex()
  • homogeneous()
  • scalar_product()
  • determinant()
  • rel_angle()
  • cr()
  • fourth_point_from_cross_ratio()
  • circumcenter()
  • circumradius()
  • intersect_diags()
  • intersect_edges()
• ddg.math.discrete_objects module
  • triangulated_faces()
  • tetrahedron_faces()
  • tetrahedron_coordinates()
  • cube_faces()
  • cube_coordinates()
  • octahedron_faces()
  • octahedron_coordinates()
  • dodecahedron_faces()
  • dodecahedron_coordinates()
  • icosahedron_faces()
  • icosahedron_coordinates()
  • disc_face()
  • disc_coordinates()
  • cone_faces()
  • cone_coordinates()
  • cylinder_faces()
  • cylinder_coordinates()
  • arrow_faces()
  • arrow_coordinates()
• ddg.math.energies module
  • planarity_by_diagonal_distance()
  • circularity_by_angles()
  • circularity_by_ptolemy()
  • circularity_by_complex_cr()
  • isothermicity_by_dual_quads()
• ddg.math.euclidean module
  • intersect_diags()
  • intersect_edges()
  • focal_points()
  • diagonal_triangle()
  • christoffel_dual_quad()
  • christoffel_dual_vertex_star()
  • face_normal_via_cross_product_of_diagonals()
  • vertex_normal_via_diagonal_intersection_points()
  • circumcenter()
  • circle_through_three_points()
  • sphere_through_four_points()
  • rotation_from_to()
  • scale_rotation_from_to()
  • rotation_angle_axis()
  • scaleXYZ()
  • translation_to()
  • reflection_in_a_hyperplane()
  • catmull_rom_spline()
  • catmull_rom_curve()
  • extend_to_onb()
  • distance()
  • distance_lines()
  • skew_symmetric_matrix()
  • normalize()
  • embed()
  • angle_bisector_orientation_preserving()
  • angle_bisector_orientation_reversing()
• ddg.math.euclidean2d module
  • intersect_diags()
  • intersect_edges()
  • christoffel_dual_quad()
  • corner_angle()
  • corner_angle_signed()
  • cyclic_order()
  • rotation()
  • circumcenter()
  • circumradius()
  • fourth_point_from_cross_ratio()
  • triangle_area()
  • line2D()
  • intersection()
  • intersectionCramer()
  • intersection_in_barycentric_coords()
• ddg.math.functions module
  • qgamma()
  • double_factorial()
  • sn()
  • cn()
  • dn()
  • ns()
  • nc()
  • nd()
  • sc()
  • sd()
  • dc()
  • ds()
  • cs()
  • cd()
  • K()
• ddg.math.grids module
  • quad_grid()
  • triangulate_quads()
  • triangle_grid()
  • triangulated_quad_grid()
  • quad_grid_with_periodicity()
  • quad_grid_sandwich()
• ddg.math.inner_product module
  • col_complement()
  • col_complement_oriented()
  • row_complement()
  • row_complement_oriented()
  • orthonormalize()
  • normalize()
  • vectorize_inner_product()
  • gram_matrix()
  • signature()
  • reflect()
  • project_onto_complement()
  • get_matrix()
  • polarity_matrix()
  • light_like_vectors_from_onb()
• ddg.math.linalg module
  • rank()
  • nullspace()
  • minors()
  • row_basis()
  • col_basis()
  • matrix_to_arrays()
  • e()
  • extend_to_basis()
  • coordinates()
  • linear_dependence()
  • laplace_determinant()
• ddg.math.projective module
  • homogenize()
  • dehomogenize()
  • in_general_position()
  • is_projective_frame()
  • point_of_intersection()
  • affine_transformation()
  • decompose_affine_transformation()
  • decompose_similarity()
  • affine_component_transformation()
  • translation()
  • translations_from_quad_3d()
  • translations_from_quad_4d()
• ddg.math.quaternion module
  • point_to_quaternion()
  • multiply()
  • inverse()
  • cr()
  • imag()
• ddg.math.random module
  • random_matrix()
  • random_matrix_close_to_identity()
  • random_point_on_sphere()
• ddg.math.symmetric_matrices module
  • signature_sort_key()
  • diagonalize()
  • symmetrize()
  • is_symmetric()
  • symmetric_matrix_from_diagonal()

Module contents