def init_points(self): start_angle = np.pi / 2 + self.arc_angle / 2 end_angle = np.pi / 2 - self.arc_angle / 2 self.add(Arc(start_angle=start_angle, angle=-self.arc_angle)) tick_angle_range = np.linspace(start_angle, end_angle, self.num_ticks) for index, angle in enumerate(tick_angle_range): vect = rotate_vector(RIGHT, angle) tick = Line((1 - self.tick_length) * vect, vect) label = TexMobject(str(10 * index)) label.set_height(self.tick_length) label.shift((1 + self.tick_length) * vect) self.add(tick, label) needle = Polygon(LEFT, UP, RIGHT, stroke_width=0, fill_opacity=1, fill_color=self.needle_color) needle.stretch_to_fit_width(self.needle_width) needle.stretch_to_fit_height(self.needle_height) needle.rotate(start_angle - np.pi / 2, about_point=ORIGIN) self.add(needle) self.needle = needle self.center_offset = self.get_center()
def generate_points(self): start_angle = np.pi / 2 + self.arc_angle / 2 end_angle = np.pi / 2 - self.arc_angle / 2 self.add(Arc( start_angle=start_angle, angle=-self.arc_angle )) tick_angle_range = np.linspace(start_angle, end_angle, self.num_ticks) for index, angle in enumerate(tick_angle_range): vect = rotate_vector(RIGHT, angle) tick = Line((1 - self.tick_length) * vect, vect) label = TexMobject(str(10 * index)) label.set_height(self.tick_length) label.shift((1 + self.tick_length) * vect) self.add(tick, label) needle = Polygon( LEFT, UP, RIGHT, stroke_width=0, fill_opacity=1, fill_color=self.needle_color ) needle.stretch_to_fit_width(self.needle_width) needle.stretch_to_fit_height(self.needle_height) needle.rotate(start_angle - np.pi / 2, about_point=ORIGIN) self.add(needle) self.needle = needle self.center_offset = self.get_center()
def get_tex(self, tex, scale=1, buff=1, invert_dir=False, invert_texto=False, remove_rot=True, **moreargs): linea_referencia = Line(self[0][0].get_start(), self[0][-1].get_end()) texto = TexMobject(tex, **moreargs) ancho = texto.get_height() / 2 if invert_texto: inv = PI else: inv = 0 if remove_rot: texto.scale(scale).move_to(self) else: texto.rotate( linea_referencia.get_angle()).scale(scale).move_to(self) texto.rotate(inv) if invert_dir: inv = -1 else: inv = 1 texto.shift(self.direccion * (buff + 1) * ancho) return texto
def add_tex(self, text, scale=1, buff=-1, **moreargs): linea_referencia = Line(self[0][0].get_start(), self[0][-1].get_end()) texto = TexMobject(text, **moreargs) ancho = texto.get_height() / 2 texto.rotate(linea_referencia.get_angle()).scale(scale).move_to(self) texto.shift(self.direccion * (buff + 1) * ancho) return self.add(texto)
def construct(self): eq1 = TextMobject(r"$ \vec{X}_0 \cdot \vec{Y}_1 = 3 $") eq1.shift(2 * UP) eq2 = TexMobject(r"\vec{F}_{net} = \sum_i \vec{F}_i") eq2.shift(2 * DOWN) self.play(Write(eq1)) self.play(Write(eq2)) self.wait()
def get_vector_label(self, vector, label, at_tip=False, direction="left", rotate=False, color=None, label_scale_factor=VECTOR_LABEL_SCALE_FACTOR): if not isinstance(label, TexMobject): if len(label) == 1: label = "\\vec{\\textbf{%s}}" % label label = TexMobject(label) if color is None: color = vector.get_color() label.set_color(color) label.scale(label_scale_factor) label.add_background_rectangle() if at_tip: vect = vector.get_vector() vect /= get_norm(vect) label.next_to(vector.get_end(), vect, buff=SMALL_BUFF) else: angle = vector.get_angle() if not rotate: label.rotate(-angle, about_point=ORIGIN) if direction == "left": label.shift(-label.get_bottom() + 0.1 * UP) else: label.shift(-label.get_top() + 0.1 * DOWN) label.rotate(angle, about_point=ORIGIN) label.shift((vector.get_end() - vector.get_start()) / 2) return label
def construct(self): eq1a = TexMobject("4x + 3y") eq1b = TexMobject("=") eq1c = TexMobject("0") eq2a = TexMobject("5x - 2y") eq2b = TexMobject("=") eq2c = TexMobject("3") eq1b.next_to(eq1a, RIGHT) eq1c.next_to(eq1b, RIGHT) eq2a.shift(DOWN) eq2b.shift(DOWN) eq2c.shift(DOWN) eq2a.align_to(eq1a, LEFT) eq2b.align_to(eq1b, LEFT) eq2c.align_to(eq1c, LEFT) eq_group = VGroup(eq1a, eq2a) braces = Brace(eq_group, LEFT) eq_text = braces.get_text("A pair of equations") self.play(Write(eq1a)) self.play(Write(eq1b)) self.play(Write(eq1c)) self.play(Write(eq2a)) self.play(Write(eq2b)) self.play(Write(eq2c)) self.play(GrowFromCenter(braces), Write(eq_text)) self.wait(3)
def get_vector_label(self, vector, label, at_tip=False, direction="left", rotate=False, color=None, label_scale_factor=VECTOR_LABEL_SCALE_FACTOR): """ Returns naming labels for the passed vector. Parameters ---------- vector Vector Object for which to get the label. at_tip (bool) Whether or not to place the label at the tip of the vector. direction (str="left") If the label should be on the "left" or right of the vector. rotate (bool=False) Whether or not to rotate it to align it with the vector. color (str) The color to give the label. label_scale_factor (Union[int,float]) How much to scale the label by. Returns ------- TexMobject The TexMobject of the label. """ if not isinstance(label, TexMobject): if len(label) == 1: label = "\\vec{\\textbf{%s}}" % label label = TexMobject(label) if color is None: color = vector.get_color() label.set_color(color) label.scale(label_scale_factor) label.add_background_rectangle() if at_tip: vect = vector.get_vector() vect /= get_norm(vect) label.next_to(vector.get_end(), vect, buff=SMALL_BUFF) else: angle = vector.get_angle() if not rotate: label.rotate(-angle, about_point=ORIGIN) if direction == "left": label.shift(-label.get_bottom() + 0.1 * UP) else: label.shift(-label.get_top() + 0.1 * DOWN) label.rotate(angle, about_point=ORIGIN) label.shift((vector.get_end() - vector.get_start()) / 2) return label