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 construct(self):
left_string_matrix, right_string_matrix = [
np.array(matrix).astype("string")
for matrix in (self.left_matrix, self.right_matrix)
]
if right_string_matrix.shape[0] != left_string_matrix.shape[1]:
raise Exception("Incompatible shapes for matrix multiplication")
left = Matrix(left_string_matrix)
right = Matrix(right_string_matrix)
result = self.get_result_matrix(left_string_matrix,
right_string_matrix)
self.organize_matrices(left, right, result)
self.animate_product(left, right, result)
def get_result_matrix(self, left, right):
(m, k), n = left.shape, right.shape[1]
mob_matrix = np.array([VGroup()]).repeat(m * n).reshape((m, n))
for a in range(m):
for b in range(n):
template = "(%s)(%s)" if self.use_parens else "%s%s"
parts = [
prefix + template % (left[a][c], right[c][b])
for c in range(k) for prefix in ["" if c == 0 else "+"]
]
mob_matrix[a][b] = Tex(parts, next_to_buff=0.1)
return Matrix(mob_matrix)
def coords_to_vector(self,
vector,
coords_start=2 * RIGHT + 2 * UP,
clean_up=True):
starting_mobjects = list(self.submobjects)
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):
"""
This method writes the vector as a column matrix (henceforth called the label),
takes the values in it one by one, and form the corresponding
lines that make up the x and y components of the vector. Then, an
Vector() based vector is created between the lines on the Screen.
Parameters
----------
vector Union(np.ndarray, list, tuple)
The vector to show.
coords_start Union(np.ndarray,list,tuple)
The starting point of the location of
the label of the vector that shows it
numerically.
Defaults to 2 * RIGHT + 2 * UP or (2,2)
clean_up (bool=True)
Whether or not to remove whatever
this method did after it's done.
"""
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)