ddg.math package

Submodules

• ddg.math.complex module
  • complex_sample()
  • to_array()
  • to_complex()
  • homogeneous()
  • scalar_product()
  • determinant()
  • rel_angle()
  • cr()
  • fourth_point_from_cross_ratio()
  • triangle_area_from_lengths()
  • circumcircle_center()
  • circumcircle_radius()
  • diagonals_intersection()
  • intersect_edges()
• ddg.math.confocal2d module
  • confocal_conics_sqrt()
  • confocal_conics_trigonometric()
  • confocal_conics_concentric()
  • confocal_conics_ic()
  • confocal_conics_ic_hyperbolic()
  • confocal_conics_hyperbolic_pencil()
  • discrete_confocal_conics_gamma()
  • discrete_confocal_conics_gamma_u1_of_corresponding_continuous()
  • discrete_confocal_conics_gamma_u2_of_corresponding_continuous()
  • discrete_confocal_conics_trigonometric()
  • discrete_confocal_conics_trigonometric_u1_of_corresponding_continuous()
  • discrete_confocal_conics_trigonometric_u2_of_corresponding_continuous()
  • discrete_confocal_conics_concentric()
  • discrete_confocal_conics_concentric_u1_of_corresponding_continuous()
  • discrete_confocal_conics_concentric_u2_of_corresponding_continuous()
  • discrete_confocal_conics_ic()
  • discrete_confocal_conics_ic_u1_of_corresponding_continuous()
  • discrete_confocal_conics_ic_u2_of_corresponding_continuous()
  • discrete_confocal_conics_ic_hyperbolic()
  • discrete_confocal_conics_hyperbolic_pencil()
  • discrete_confocal_conics_hyperbolic_pencil_u1_of_corresponding_continuous()
  • discrete_confocal_conics_hyperbolic_pencil_u2_of_corresponding_continuous()
  • sampled_confocal_conic()
• ddg.math.euclidean module
  • circle_fct()
  • sphere_fct()
  • circumcenter()
  • circle_through_three_points()
  • sphere_through_four_points()
  • rotation_2d()
  • rotation_from_to()
  • rotation_angle_axis()
  • scaleXYZ()
  • translation_to()
  • catmull_rom_spline()
  • catmull_rom_curve()
  • extend_to_onb()
  • distance()
  • skew_symmetric_matrix()
  • normalize()
  • embed()
• ddg.math.euclidean2d module
  • diagonals_intersection()
  • intersect_edges()
  • dual_quadrilateral()
  • distance_lines()
  • vertex_angle()
  • vertex_angle_with_sign()
  • cyclic_order()
  • circumcircle_center()
  • circumcircle_radius()
  • coordinates_on_circle_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.geometric_objects module
  • tetrahedron_faces()
  • tetrahedron_coordinates()
  • cube_faces()
  • cube_coordinates()
  • octahedron_faces()
  • octahedron_coordinates()
  • dodecahedron_faces()
  • dodecahedron_coordinates()
  • icosahedron_faces()
  • icosahedron_coordinates()
  • disc_face()
  • disc_coordinates()
  • cylinder_faces()
  • cylinder_coordinates()
  • arrow_faces()
  • arrow_coordinates()
• ddg.math.grids module
  • quad_grid()
  • triangle_faces()
  • triangle_grid()
• ddg.math.inner_product module
  • get_col_complement()
  • get_row_complement()
  • orthonormalize()
  • normalize()
  • gram_matrix()
  • signature()
  • reflect()
  • get_matrix()
  • inner_product_from_matrix()
  • project_onto_complement()
  • polarity_matrix()
  • points_on_quadric()
  • points_on_quadric_from_onb()
• ddg.math.linalg module
  • rank()
  • nullspace()
  • row_basis()
  • col_basis()
  • arrays_to_matrix()
  • matrix_to_arrays()
  • e()
  • permutation_matrix()
  • extend_to_basis()
  • coordinates()
  • linear_dependence()
• ddg.math.nets2d module
  • dual_vertex_star()
  • isotherm_test()
  • Koenigs_face_norm()
  • Koenigs_vertex_norm()
  • Koenigs_face_norm_coplanar_test()
  • Koenigs_vertex_norm_coplanar_test()
• ddg.math.projective module
  • homogenize()
  • dehomogenize()
  • in_general_position()
  • is_projective_frame()
  • point_of_intersection()
  • affine_transformation()
  • decompose_affine_transformation()
  • is_similarity()
  • 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
    • Signature.plus
    • Signature.minus
    • Signature.zero
    • Signature.matrix
    • Signature.is_degenerate
    • Signature.rank
    • Signature.is_positive_definite
    • Signature.is_negative_definite
    • Signature.is_positive_semi_definite
    • Signature.is_negative_semi_definite
    • Signature.is_indefinite
    • Signature.is_definite
    • Signature.is_semi_definite
  • AffineSignature
    • AffineSignature.plus
    • AffineSignature.minus
    • AffineSignature.zero
    • AffineSignature.affine_component_entry
    • AffineSignature.affine_component
    • AffineSignature.matrix
    • AffineSignature.is_definite
    • AffineSignature.is_degenerate
    • AffineSignature.is_indefinite
    • AffineSignature.is_negative_definite
    • AffineSignature.is_negative_semi_definite
    • AffineSignature.is_positive_definite
    • AffineSignature.is_positive_semi_definite
    • AffineSignature.is_semi_definite
    • AffineSignature.rank
  • signature_from_diagonal()
  • affine_signature_from_diagonal()
  • symmetrize()
  • is_symmetric()
  • signature_sort_key()
  • diagonalize()
  • projective_normalization()
  • affine_normalization()
  • symmetric_matrix_from_diagonal()

Module contents