class RightHand(VMobject): def __init__(self, **kwargs): hand = SVGMobject("RightHandOutline") self.inlines = VMobject(*hand.split()[:-4]) self.outline = VMobject(*hand.split()[-4:]) self.outline.set_stroke(color=WHITE, width=5) self.inlines.set_stroke(color=DARK_GREY, width=3) VMobject.__init__(self, self.outline, self.inlines) self.center().scale_to_fit_height(3)
class RightHand(VMobject): def __init__(self, **kwargs): hand = SVGMobject("RightHandOutline") self.inlines = VMobject(*hand.split()[:-4]) self.outline = VMobject(*hand.split()[-4:]) self.outline.set_stroke(color = WHITE, width = 5) self.inlines.set_stroke(color = DARK_GREY, width = 3) VMobject.__init__(self, self.outline, self.inlines) self.center().scale_to_fit_height(3)
class NumberPlane(VMobject): CONFIG = { "color" : BLUE_D, "secondary_color" : BLUE_E, "axes_color" : WHITE, "secondary_stroke_width" : 1, "x_radius": None, "y_radius": None, "x_unit_size" : 1, "y_unit_size" : 1, "center_point" : ORIGIN, "x_line_frequency" : 1, "y_line_frequency" : 1, "secondary_line_ratio" : 1, "written_coordinate_height" : 0.2, "propagate_style_to_family" : False, } def generate_points(self): if self.x_radius is None: center_to_edge = (SPACE_WIDTH + abs(self.center_point[0])) self.x_radius = center_to_edge / self.x_unit_size if self.y_radius is None: center_to_edge = (SPACE_HEIGHT + abs(self.center_point[1])) self.y_radius = center_to_edge / self.y_unit_size self.axes = VMobject() self.main_lines = VMobject() self.secondary_lines = VMobject() tuples = [ ( self.x_radius, self.x_line_frequency, self.y_radius*DOWN, self.y_radius*UP, RIGHT ), ( self.y_radius, self.y_line_frequency, self.x_radius*LEFT, self.x_radius*RIGHT, UP, ), ] for radius, freq, start, end, unit in tuples: main_range = np.arange(0, radius, freq) step = freq/float(freq + self.secondary_line_ratio) for v in np.arange(0, radius, step): line1 = Line(start+v*unit, end+v*unit) line2 = Line(start-v*unit, end-v*unit) if v == 0: self.axes.add(line1) elif v in main_range: self.main_lines.add(line1, line2) else: self.secondary_lines.add(line1, line2) self.add(self.secondary_lines, self.main_lines, self.axes) self.stretch(self.x_unit_size, 0) self.stretch(self.y_unit_size, 1) self.shift(self.center_point) #Put x_axis before y_axis y_axis, x_axis = self.axes.split() self.axes = VMobject(x_axis, y_axis) def init_colors(self): VMobject.init_colors(self) self.axes.set_stroke(self.axes_color, self.stroke_width) self.main_lines.set_stroke(self.color, self.stroke_width) self.secondary_lines.set_stroke( self.secondary_color, self.secondary_stroke_width ) return self def get_center_point(self): return self.coords_to_point(0, 0) def coords_to_point(self, x, y): x, y = np.array([x, y]) result = self.axes.get_center() result += x*self.get_x_unit_size()*RIGHT result += y*self.get_y_unit_size()*UP return result def point_to_coords(self, point): new_point = point - self.axes.get_center() x = new_point[0]/self.get_x_unit_size() y = new_point[1]/self.get_y_unit_size() return x, y def get_x_unit_size(self): return self.axes.get_width() / (2.0*self.x_radius) def get_y_unit_size(self): return self.axes.get_height() / (2.0*self.y_radius) def get_coordinate_labels(self, x_vals = None, y_vals = None): coordinate_labels = VGroup() if x_vals == None: x_vals = range(-int(self.x_radius), int(self.x_radius)+1) if y_vals == None: y_vals = range(-int(self.y_radius), int(self.y_radius)+1) for index, vals in enumerate([x_vals, y_vals]): num_pair = [0, 0] for val in vals: if val == 0: continue num_pair[index] = val point = self.coords_to_point(*num_pair) num = TexMobject(str(val)) num.add_background_rectangle() num.scale_to_fit_height( self.written_coordinate_height ) num.next_to(point, DOWN+LEFT, buff = SMALL_BUFF) coordinate_labels.add(num) self.coordinate_labels = coordinate_labels return coordinate_labels def get_axes(self): return self.axes def get_axis_labels(self, x_label = "x", y_label = "y"): x_axis, y_axis = self.get_axes().split() quads = [ (x_axis, x_label, UP, RIGHT), (y_axis, y_label, RIGHT, UP), ] labels = VGroup() for axis, tex, vect, edge in quads: label = TexMobject(tex) label.add_background_rectangle() label.next_to(axis, vect) label.to_edge(edge) labels.add(label) self.axis_labels = labels return labels def add_coordinates(self, x_vals = None, y_vals = None): self.add(*self.get_coordinate_labels(x_vals, y_vals)) return self def get_vector(self, coords, **kwargs): point = coords[0]*RIGHT + coords[1]*UP arrow = Arrow(ORIGIN, coords, **kwargs) return arrow def prepare_for_nonlinear_transform(self, num_inserted_anchor_points = 50): for mob in self.family_members_with_points(): num_anchors = mob.get_num_anchor_points() if num_inserted_anchor_points > num_anchors: mob.insert_n_anchor_points(num_inserted_anchor_points-num_anchors) mob.make_smooth() return self def apply_function(self, function, maintain_smoothness = True): VMobject.apply_function(self, function, maintain_smoothness = maintain_smoothness)
class NumberPlane(VMobject): CONFIG = { "color": BLUE_D, "secondary_color": BLUE_E, "axes_color": WHITE, "secondary_stroke_width": 1, "x_radius": SPACE_WIDTH, "y_radius": SPACE_HEIGHT, "space_unit_to_x_unit": 1, "space_unit_to_y_unit": 1, "x_line_frequency": 1, "y_line_frequency": 1, "secondary_line_ratio": 1, "written_coordinate_height": 0.2, "written_coordinate_nudge": 0.1 * (DOWN + RIGHT), "num_pair_at_center": (0, 0), "propogate_style_to_family": False, } def generate_points(self): self.axes = VMobject() self.main_lines = VMobject() self.secondary_lines = VMobject() tuples = [ (self.x_radius, self.x_line_frequency, self.y_radius * DOWN, self.y_radius * UP, RIGHT), ( self.y_radius, self.y_line_frequency, self.x_radius * LEFT, self.x_radius * RIGHT, UP, ), ] for radius, freq, start, end, unit in tuples: main_range = np.arange(0, radius, freq) step = freq / float(freq + self.secondary_line_ratio) for v in np.arange(0, radius, step): line1 = Line(start + v * unit, end + v * unit) line2 = Line(start - v * unit, end - v * unit) if v == 0: self.axes.add(line1) elif v in main_range: self.main_lines.add(line1, line2) else: self.secondary_lines.add(line1, line2) self.add(self.secondary_lines, self.main_lines, self.axes) self.stretch(self.space_unit_to_x_unit, 0) self.stretch(self.space_unit_to_y_unit, 1) #Put x_axis before y_axis y_axis, x_axis = self.axes.split() self.axes = VMobject(x_axis, y_axis) def init_colors(self): VMobject.init_colors(self) self.axes.set_stroke(self.axes_color, self.stroke_width) self.main_lines.set_stroke(self.color, self.stroke_width) self.secondary_lines.set_stroke(self.secondary_color, self.secondary_stroke_width) return self def get_center_point(self): return self.num_pair_to_point(self.num_pair_at_center) def num_pair_to_point(self, pair): pair = np.array(pair) + self.num_pair_at_center result = self.axes.get_center() result[0] += pair[0] * self.space_unit_to_x_unit result[1] += pair[1] * self.space_unit_to_y_unit return result def point_to_num_pair(self, point): new_point = point - self.get_center() center_x, center_y = self.num_pair_at_center x = center_x + point[0] / self.space_unit_to_x_unit y = center_y + point[1] / self.space_unit_to_y_unit return x, y def get_coordinate_labels(self, x_vals=None, y_vals=None): result = [] if x_vals == None and y_vals == None: x_vals = range(-int(self.x_radius), int(self.x_radius)) y_vals = range(-int(self.y_radius), int(self.y_radius)) for index, vals in enumerate([x_vals, y_vals]): num_pair = [0, 0] for val in vals: num_pair[index] = val point = self.num_pair_to_point(num_pair) num = TexMobject(str(val)) num.scale_to_fit_height(self.written_coordinate_height) num.shift(point - num.get_corner(UP + LEFT), self.written_coordinate_nudge) result.append(num) return result def get_axes(self): return self.axes def get_axis_labels(self, x_label="x", y_label="y"): x_axis, y_axis = self.get_axes().split() x_label_mob = TexMobject(x_label) y_label_mob = TexMobject(y_label) x_label_mob.next_to(x_axis, DOWN) x_label_mob.to_edge(RIGHT) y_label_mob.next_to(y_axis, RIGHT) y_label_mob.to_edge(UP) return VMobject(x_label_mob, y_label_mob) def add_coordinates(self, x_vals=None, y_vals=None): self.add(*self.get_coordinate_labels(x_vals, y_vals)) return self def get_vector(self, coords, **kwargs): point = coords[0] * RIGHT + coords[1] * UP arrow = Arrow(ORIGIN, coords, **kwargs) return arrow def prepare_for_nonlinear_transform(self, num_inserted_anchor_points=50): for mob in self.family_members_with_points(): num_anchors = mob.get_num_anchor_points() if num_inserted_anchor_points > num_anchors: mob.insert_n_anchor_points(num_inserted_anchor_points - num_anchors) mob.make_smooth() return self
class NumberPlane(VMobject): CONFIG = { "color" : BLUE_D, "secondary_color" : BLUE_E, "axes_color" : WHITE, "secondary_stroke_width" : 1, "x_radius": None, "y_radius": None, "x_unit_size" : 1, "y_unit_size" : 1, "center_point" : ORIGIN, "x_line_frequency" : 1, "y_line_frequency" : 1, "secondary_line_ratio" : 1, "written_coordinate_height" : 0.2, "propogate_style_to_family" : False, } def generate_points(self): if self.x_radius is None: center_to_edge = (SPACE_WIDTH + abs(self.center_point[0])) self.x_radius = center_to_edge / self.x_unit_size if self.y_radius is None: center_to_edge = (SPACE_HEIGHT + abs(self.center_point[1])) self.y_radius = center_to_edge / self.y_unit_size self.axes = VMobject() self.main_lines = VMobject() self.secondary_lines = VMobject() tuples = [ ( self.x_radius, self.x_line_frequency, self.y_radius*DOWN, self.y_radius*UP, RIGHT ), ( self.y_radius, self.y_line_frequency, self.x_radius*LEFT, self.x_radius*RIGHT, UP, ), ] for radius, freq, start, end, unit in tuples: main_range = np.arange(0, radius, freq) step = freq/float(freq + self.secondary_line_ratio) for v in np.arange(0, radius, step): line1 = Line(start+v*unit, end+v*unit) line2 = Line(start-v*unit, end-v*unit) if v == 0: self.axes.add(line1) elif v in main_range: self.main_lines.add(line1, line2) else: self.secondary_lines.add(line1, line2) self.add(self.secondary_lines, self.main_lines, self.axes) self.stretch(self.x_unit_size, 0) self.stretch(self.y_unit_size, 1) self.shift(self.center_point) #Put x_axis before y_axis y_axis, x_axis = self.axes.split() self.axes = VMobject(x_axis, y_axis) def init_colors(self): VMobject.init_colors(self) self.axes.set_stroke(self.axes_color, self.stroke_width) self.main_lines.set_stroke(self.color, self.stroke_width) self.secondary_lines.set_stroke( self.secondary_color, self.secondary_stroke_width ) return self def get_center_point(self): return self.coords_to_point(0, 0) def coords_to_point(self, x, y): x, y = np.array([x, y]) result = self.axes.get_center() result += x*self.get_x_unit_size()*RIGHT result += y*self.get_y_unit_size()*UP return result def point_to_coords(self, point): new_point = point - self.axes.get_center() x = new_point[0]/self.get_x_unit_size() y = new_point[1]/self.get_y_unit_size() return x, y def get_x_unit_size(self): return self.axes.get_width() / (2.0*self.x_radius) def get_y_unit_size(self): return self.axes.get_height() / (2.0*self.y_radius) def get_coordinate_labels(self, x_vals = None, y_vals = None): result = [] if x_vals == None and y_vals == None: x_vals = range(-int(self.x_radius), int(self.x_radius)) y_vals = range(-int(self.y_radius), int(self.y_radius)) for index, vals in enumerate([x_vals, y_vals]): num_pair = [0, 0] for val in vals: if val == 0: continue num_pair[index] = val point = self.coords_to_point(*num_pair) num = TexMobject(str(val)) num.add_background_rectangle() num.scale_to_fit_height( self.written_coordinate_height ) vect = DOWN if index == 0 else LEFT num.next_to(point, vect, buff = SMALL_BUFF) result.append(num) return result def get_axes(self): return self.axes def get_axis_labels(self, x_label = "x", y_label = "y"): x_axis, y_axis = self.get_axes().split() quads = [ (x_axis, x_label, UP, RIGHT), (y_axis, y_label, RIGHT, UP), ] labels = VGroup() for axis, tex, vect, edge in quads: label = TexMobject(tex) label.add_background_rectangle() label.next_to(axis, vect) label.to_edge(edge) labels.add(label) self.axis_labels = labels return labels def add_coordinates(self, x_vals = None, y_vals = None): self.add(*self.get_coordinate_labels(x_vals, y_vals)) return self def get_vector(self, coords, **kwargs): point = coords[0]*RIGHT + coords[1]*UP arrow = Arrow(ORIGIN, coords, **kwargs) return arrow def prepare_for_nonlinear_transform(self, num_inserted_anchor_points = 50): for mob in self.family_members_with_points(): num_anchors = mob.get_num_anchor_points() if num_inserted_anchor_points > num_anchors: mob.insert_n_anchor_points(num_inserted_anchor_points-num_anchors) mob.make_smooth() return self
class NumberPlane(VMobject): CONFIG = { "color" : BLUE_D, "secondary_color" : BLUE_E, "axes_color" : WHITE, "secondary_stroke_width" : 1, "x_radius": SPACE_WIDTH, "y_radius": SPACE_HEIGHT, "space_unit_to_x_unit" : 1, "space_unit_to_y_unit" : 1, "x_line_frequency" : 1, "y_line_frequency" : 1, "secondary_line_ratio" : 1, "written_coordinate_height" : 0.2, "written_coordinate_nudge" : 0.1*(DOWN+RIGHT), "num_pair_at_center" : (0, 0), "propogate_style_to_family" : False, "submobject_partial_creation_mode" : "smoothed_lagged_start", } def generate_points(self): self.axes = VMobject() self.main_lines = VMobject() self.secondary_lines = VMobject() tuples = [ ( self.x_radius, self.x_line_frequency, self.y_radius*DOWN, self.y_radius*UP, RIGHT ), ( self.y_radius, self.y_line_frequency, self.x_radius*LEFT, self.x_radius*RIGHT, UP, ), ] for radius, freq, start, end, unit in tuples: main_range = np.arange(0, radius, freq) step = freq/float(freq + self.secondary_line_ratio) for v in np.arange(0, radius, step): line1 = Line(start+v*unit, end+v*unit) line2 = Line(start-v*unit, end-v*unit) if v == 0: self.axes.add(line1) elif v in main_range: self.main_lines.add(line1, line2) else: self.secondary_lines.add(line1, line2) self.add(self.axes, self.main_lines, self.secondary_lines) self.stretch(self.space_unit_to_x_unit, 0) self.stretch(self.space_unit_to_y_unit, 1) #Put x_axis before y_axis y_axis, x_axis = self.axes.split() self.axes = VMobject(x_axis, y_axis) def init_colors(self): VMobject.init_colors(self) self.axes.set_stroke(self.axes_color, self.stroke_width) self.main_lines.set_stroke(self.color, self.stroke_width) self.secondary_lines.set_stroke( self.secondary_color, self.secondary_stroke_width ) return self def get_center_point(self): return self.num_pair_to_point(self.num_pair_at_center) def num_pair_to_point(self, pair): pair = np.array(pair) + self.num_pair_at_center result = self.get_center() result[0] += pair[0]*self.space_unit_to_x_unit result[1] += pair[1]*self.space_unit_to_y_unit return result def point_to_num_pair(self, point): new_point = point-self.get_center() center_x, center_y = self.num_pair_at_center x = center_x + point[0]/self.space_unit_to_x_unit y = center_y + point[1]/self.space_unit_to_y_unit return x, y def get_coordinate_labels(self, x_vals = None, y_vals = None): result = [] if x_vals == None and y_vals == None: x_vals = range(-int(self.x_radius), int(self.x_radius)) y_vals = range(-int(self.y_radius), int(self.y_radius)) for index, vals in enumerate([x_vals, y_vals]): num_pair = [0, 0] for val in vals: num_pair[index] = val point = self.num_pair_to_point(num_pair) num = TexMobject(str(val)) num.scale_to_fit_height( self.written_coordinate_height ) num.shift( point-num.get_corner(UP+LEFT), self.written_coordinate_nudge ) result.append(num) return result def get_axes(self): return self.axes def get_axis_labels(self, x_label = "x", y_label = "y"): x_axis, y_axis = self.get_axes().split() x_label_mob = TexMobject(x_label) y_label_mob = TexMobject(y_label) x_label_mob.next_to(x_axis, DOWN) x_label_mob.to_edge(RIGHT) y_label_mob.next_to(y_axis, RIGHT) y_label_mob.to_edge(UP) return VMobject(x_label_mob, y_label_mob) def add_coordinates(self, x_vals = None, y_vals = None): self.add(*self.get_coordinate_labels(x_vals, y_vals)) return self def get_vector(self, coords, **kwargs): point = coords[0]*RIGHT + coords[1]*UP arrow = Arrow(ORIGIN, coords, **kwargs) return arrow def prepare_for_nonlinear_transform(self, num_inserted_anchor_points = 50): for mob in self.family_members_with_points(): mob.insert_n_anchor_points(num_inserted_anchor_points) mob.make_smooth() return self