Manim Utils

A utils is the fundamental operations used in Manim.

Tree Structure of Manim Utils

Utils Structure18Jan2020 based on 19Dec2019.

• utils
  • bezier.py
    • def bezier(points)
    • def partial_bezier_points(points, a, b)
    • def interpolate(start, end, alpha)
    • def integer_interpolate(start, end, alpha)
    • def mid(start, end)
    • def inverse_interpolate(start, end, value)
    • def match_interpolate(new_start, new_end, old_start, old_end, old_value)
    • def get_smooth_handle_points(points)
      • def solve_func(b)
        • def closed_curve_solve_func(b)
    • def diag_to_matrix(l_and_u, diag)
    • def is_closed(points)
  • color.py
    • def color_to_rgb(color)
    • def color_to_rgba(color, alpha=1) rgb_to_color(rgb)
    • def rgba_to_color(rgba)
    • def rgb_to_hex(rgb)
    • def hex_to_rgb(hex_code)
    • def invert_color(color)
    • def color_to_int_rgb(color)
    • def color_to_int_rgba(color, opacity=1.0)
    • def color_gradient(reference_colors, length_of_output)
    • def interpolate_color(color1, color2, alpha)
    • def average_color(*colors)
    • def random_bright_color()
    • def random_color()
    • def get_shaded_rgb(rgb, point, unit_normal_vect, light_source)
  • config_ops.py
    • def get_all_descendent_classes(Class)
    • def filtered_locals(caller_locals)
    • def digest_config(obj, kwargs, caller_locals={})
    • def merge_dicts_recursively(*dicts)
    • def soft_dict_update(d1, d2)
    • def digest_locals(obj, keys=None)
    • class DictAsObject(object):
      • def __init__(self, dict)
  • debug.py
    • def print_family(mobject, n_tabs=0)
    • def get_submobject_index_labels(mobject, label_height=0.15)
  • file_ops.py
    • def add_extension_if_not_present(file_name, extension)
    • def guarantee_existence(path)
    • def seek_full_path_from_defaults(file_name, default_dir, extensions)
    • def get_sorted_integer_files(directory, min_index=0, max_index=np.inf, remove_non_integer_files=False, remove_indices_greater_than=None, extension=None, )
  • images.py
    • def get_full_raster_image_path(image_file_name)
    • def drag_pixels(frames)
    • def invert_image(image)
  • iterables.py
    • def remove_list_redundancies(l)
    • def list_update(l1, l2)
    • def list_difference_update(l1, l2)
    • def all_elements_are_instances(iterable, Class)
    • def adjacent_n_tuples(objects, n)
    • def adjacent_pairs(objects)
    • def batch_by_property(items, property_func)
      • def add_batch_prop_pair(batch)
    • def tuplify(obj)
    • def stretch_array_to_length(nparray, length)
    • def make_even(iterable_1, iterable_2)
    • def make_even_by_cycling(iterable_1, iterable_2)
    • def remove_nones(sequence)
    • def concatenate_lists(*list_of_lists)
  • paths.py
    • def straight_path(start_points, end_points, alpha)
    • def path_along_arc(arc_angle, axis=OUT)
      • def path(start_points, end_points, alpha)
    • def clockwise_path()
    • def counterclockwise_path()
  • rate_functions.py
    • def linear(t)
    • def smooth(t, inflection=10.0)
    • def rush_into(t, inflection=10.0)
    • def rush_from(t, inflection=10.0)
    • def slow_into(t)
    • def double_smooth(t)
    • def there_and_back(t, inflection=10.0)
    • def there_and_back_with_pause(t, pause_ratio=1. / 3)
    • def running_start(t, pull_factor=-0.5)
    • def not_quite_there(func=smooth, proportion=0.7)
      • def result(t)
    • def wiggle(t, wiggles=2)
    • def squish_rate_func(func, a=0.4, b=0.6)
      • def result(t)
    • def lingering(t)
    • def exponential_decay(t, half_life=0.1)
  • simple_functions.py
    • def sigmoid(x)
    • def choose_using_cache(n, r)
    • def choose(n, r, use_cache=True)
    • def get_num_args(function)
    • def get_parameters(function)
    • def clip_in_place(array, min_val=None, max_val=None)
    • def fdiv(a, b, zero_over_zero_value=None)
    • def binary_search(function, target, lower_bound, upper_bound, tolerance=1e-4)
  • sounds.py
    • def play_chord(*nums)
    • def play_error_sound()
    • def play_finish_sound()
    • def get_full_sound_file_path(sound_file_name)
  • space_ops.py
    • def get_norm(vect)
    • def quaternion_mult(q1, q2)
    • def quaternion_from_angle_axis(angle, axis)
    • def angle_axis_from_quaternion(quaternion)
    • def quaternion_conjugate(quaternion)
    • def rotate_vector(vector, angle, axis=OUT)
    • def thick_diagonal(dim, thickness=2)
    • def rotation_matrix(angle, axis)
    • def rotation_about_z(angle)
    • def z_to_vector(vector)
    • def angle_between(v1, v2)
    • def angle_of_vector(vector)
    • def angle_between_vectors(v1, v2)
    • def project_along_vector(point, vector)
    • def normalize(vect, fall_back=None)
    • def cross(v1, v2)
    • def get_unit_normal(v1, v2)
    • def compass_directions(n=4, start_vect=RIGHT)
    • def complex_to_R3(complex_num)
    • def R3_to_complex(point)
    • def complex_func_to_R3_func(complex_func)
    • def center_of_mass(points)
    • def midpoint(point1, point2)
    • def line_intersection(line1, line2)
      • def det(a, b)
    • def get_winding_number(points)
  • strings.py
    • def to_camel_case(name)
    • def initials(name, sep_values=[" ", "_"])
    • def camel_case_initials(name)
    • def complex_string(complex_num)
    • def split_string_to_isolate_substrings(full_string, *substrings_to_isolate)
    • def split_string_list_to_isolate_substrings(string_list, *substrings_to_isolate)
  • tex_file_writing.py
    • def tex_hash(expression, template_tex_file_body)
    • def tex_to_svg_file(expression, template_tex_file_body)
    • def generate_tex_file(expression, template_tex_file_body)
    • def tex_to_dvi(tex_file)
    • def dvi_to_svg(dvi_file, regen_if_exists=False)

Source and Reference

https://github.com/3b1b/manim19Dec2019