def coords_to_vector(self, vector, coords_start=2 * RIGHT + 2 * UP, clean_up=True): starting_mobjects = list(self.mobjects) array = Matrix(vector) array.shift(coords_start) arrow = Vector(vector) x_line = Line(ORIGIN, vector[0] * RIGHT) y_line = Line(x_line.get_end(), arrow.get_end()) x_line.set_color(X_COLOR) y_line.set_color(Y_COLOR) x_coord, y_coord = array.get_mob_matrix().flatten() self.play(Write(array, run_time=1)) self.wait() self.play( ApplyFunction( lambda x: self.position_x_coordinate(x, x_line, vector), x_coord)) self.play(ShowCreation(x_line)) self.play( ApplyFunction( lambda y: self.position_y_coordinate(y, y_line, vector), y_coord), FadeOut(array.get_brackets())) y_coord, brackets = self.get_mobjects_from_last_animation() self.play(ShowCreation(y_line)) self.play(ShowCreation(arrow)) self.wait() if clean_up: self.clear() self.add(*starting_mobjects)
def coords_to_vector(self, vector, coords_start=2 * RIGHT + 2 * UP, clean_up=True): starting_mobjects = list(self.mobjects) array = Matrix(vector) array.shift(coords_start) arrow = Vector(vector) x_line = Line(ORIGIN, vector[0] * RIGHT) y_line = Line(x_line.get_end(), arrow.get_end()) x_line.set_color(X_COLOR) y_line.set_color(Y_COLOR) x_coord, y_coord = array.get_mob_matrix().flatten() self.play(Write(array, run_time=1)) self.wait() self.play(ApplyFunction( lambda x: self.position_x_coordinate(x, x_line, vector), x_coord )) self.play(ShowCreation(x_line)) self.play( ApplyFunction( lambda y: self.position_y_coordinate(y, y_line, vector), y_coord ), FadeOut(array.get_brackets()) ) y_coord, brackets = self.get_mobjects_from_last_animation() self.play(ShowCreation(y_line)) self.play(ShowCreation(arrow)) self.wait() if clean_up: self.clear() self.add(*starting_mobjects)
def vector_to_coords(self, vector, integer_labels=True, clean_up=True): starting_mobjects = list(self.mobjects) show_creation = False if isinstance(vector, Arrow): arrow = vector vector = arrow.get_end()[:2] else: arrow = Vector(vector) show_creation = True array = vector_coordinate_label(arrow, integer_labels=integer_labels) x_line = Line(ORIGIN, vector[0] * RIGHT) y_line = Line(x_line.get_end(), arrow.get_end()) x_line.set_color(X_COLOR) y_line.set_color(Y_COLOR) x_coord, y_coord = array.get_mob_matrix().flatten() x_coord_start = self.position_x_coordinate( x_coord.copy(), x_line, vector ) y_coord_start = self.position_y_coordinate( y_coord.copy(), y_line, vector ) brackets = array.get_brackets() if show_creation: self.play(ShowCreation(arrow)) self.play( ShowCreation(x_line), Write(x_coord_start), run_time=1 ) self.play( ShowCreation(y_line), Write(y_coord_start), run_time=1 ) self.wait() self.play( Transform(x_coord_start, x_coord, submobject_mode="all_at_once"), Transform(y_coord_start, y_coord, submobject_mode="all_at_once"), Write(brackets, run_time=1), ) self.wait() self.remove(x_coord_start, y_coord_start, brackets) self.add(array) if clean_up: self.clear() self.add(*starting_mobjects) return array, x_line, y_line
def get_basis_vectors(self): return [ Vector(vect, color=color, stroke_width=self.basis_vector_stroke_width) for vect, color in [([1, 0], X_COLOR), ([0, 1], Y_COLOR)] ]
def add_vector(self, vector, color=YELLOW, animate=True, **kwargs): if not isinstance(vector, Arrow): vector = Vector(vector, color=color, **kwargs) if animate: self.play(ShowCreation(vector)) self.add(vector) return vector
def get_vector_movement(self, func): for v in self.moving_vectors: v.target = Vector(func(v.get_end()), color=v.get_color()) norm = np.linalg.norm(v.target.get_end()) if norm < 0.1: v.target.get_tip().scale_in_place(norm) return self.get_piece_movement(self.moving_vectors)
def get_basis_vectors(self, i_hat_color=X_COLOR, j_hat_color=Y_COLOR): return VGroup(*[ Vector( vect, color=color, stroke_width=self.basis_vector_stroke_width ) for vect, color in [ ([1, 0], i_hat_color), ([0, 1], j_hat_color) ] ])