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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,340 @@ | ||
| from manimlib.imports import * | ||
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| class Amplitude_Change(Scene): | ||
| def construct(self): | ||
| self.draw_axis() | ||
| self.draw_wave_changing_amp() | ||
| self.wait() | ||
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| def draw_axis(self): | ||
| MIN_X, MAX_X = -6, 6 | ||
| MIN_Y, MAX_Y = -3,3 | ||
| #1. axis | ||
| x_start = np.array([MIN_X, 0, 0]) | ||
| x_end = np.array([MAX_X, 0, 0]) | ||
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| y_start = np.array([-2, MIN_Y, 0]) | ||
| y_end = np.array([-2, MAX_Y, 0]) | ||
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| x_axis = Line(x_start, x_end, color=BLUE, stroke_width=5) | ||
| y_axis = Line(y_start, y_end, color=BLUE, stroke_width=5) | ||
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| self.add(x_axis, y_axis) | ||
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| # 2. labels | ||
| x_labels = [ | ||
| TexMobject(r"-\pi"), | ||
| TexMobject(r"-\frac {\pi} {2}"), TexMobject(r"0"), | ||
| TexMobject(r"\frac {\pi} {2}"), TexMobject(r"\pi"), | ||
| TexMobject(r"\frac {3 \pi} {2}"), TexMobject(r"2 \pi"), | ||
| TexMobject(r"\frac {5 \pi} {2}"), TexMobject(r"3 \pi} "), | ||
| TexMobject(r"\frac {7 \pi} {2}"), | ||
| ] | ||
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| y_labels =[ | ||
| TexMobject(r"-2"),TexMobject(r"-1"),TexMobject(r"0"), | ||
| TexMobject(r"1"), TexMobject(r"2"), | ||
| ] | ||
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| #i: 0 1 2 3 4 | ||
| #x:-4 5 | ||
| for i in range(len(x_labels)): | ||
| x_labels[i].scale(0.6) | ||
| x_labels[i].next_to(np.array([i-4, 0, 0]), DOWN) | ||
| self.add(x_labels[i]) | ||
| x_labels[2].shift(RIGHT*0.1) #zero label | ||
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| #i: 0 1 2 ... | ||
| #y:-2 -1 0 | ||
| for i in range(len(y_labels)): | ||
| if i == 2: continue | ||
| y_labels[i].scale(0.6) | ||
| y_labels[i].next_to(np.array([-2, i-2, 0]), LEFT) | ||
| self.add(y_labels[i]) | ||
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| #3. grid | ||
| def get_line(x1,y1,x2,y2): | ||
| return Line(np.array([x1,y1,0]), np.array([x2,y2,0]), stroke_color=BLUE_D, stroke_width=2,stroke_opacity=1) | ||
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| def get_s_line(x1,y1,x2,y2): #small grid | ||
| return Line(np.array([x1, y1, 0]), np.array([x2, y2, 0]), stroke_color=BLUE_D, stroke_width=1, | ||
| stroke_opacity=0.7) | ||
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| x1, y1, x2, y2 = MIN_X, MAX_Y, MAX_X, MIN_Y | ||
| v_lines = [get_line(x,y1,x,y2) for x in range(MIN_X,MAX_X+1)] | ||
| h_lines = [get_line(x1,y,x2,y) for y in range(MIN_Y,MAX_Y+1)] | ||
| self.add(*v_lines, *h_lines) | ||
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| sv_lines = [get_s_line(x,y1,x,y2) for x in np.arange(MIN_X+0.5,MAX_X,1)] | ||
| sh_lines = [get_s_line(x1,y,x2,y) for y in np.arange(MIN_Y+0.5,MAX_Y+1)] | ||
| self.add(*sv_lines, *sh_lines) | ||
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| self.MIN_X, self.MAX_X = MIN_X, MAX_X | ||
| self.MIN_Y, self.MAX_Y = MIN_Y, MAX_Y | ||
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| def draw_wave_changing_amp(self): | ||
| def get_wave(amp): | ||
| return FunctionGraph( | ||
| lambda t: amp * np.sin(t * PI / 2), | ||
| x_min=self.MIN_X, | ||
| x_max=self.MAX_X, | ||
| ) | ||
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| wave = get_wave(1) | ||
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| text = TextMobject("Amplitude: ", color=YELLOW) | ||
| text.next_to(np.array([self.MIN_X, self.MAX_Y,0]), UP, aligned_edge=LEFT) | ||
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| num = DecimalNumber(1.0, num_decimal_places=2) | ||
| num.next_to(text, RIGHT) | ||
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| self.add(wave, text, num) | ||
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| # ani | ||
| vt = ValueTracker(10) | ||
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| def update_wave(mob): | ||
| new_wave = get_wave(vt.get_value() / 10.0) | ||
| mob.become(new_wave) | ||
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| def update_num(mob): | ||
| num.set_value(vt.get_value() / 10.0) | ||
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| wave.add_updater(update_wave) | ||
| num.add_updater(update_num) | ||
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| self.play(vt.set_value, 25, rate_func=linear, run_time=5) | ||
| self.play(vt.set_value, 5, rate_func=linear, run_time=5) | ||
| self.play(vt.set_value, 10, rate_func=linear, run_time=3) | ||
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| class Phase_Change(Scene): | ||
| def construct(self): | ||
| self.draw_axis() | ||
| self.draw_wave_changing_phase() | ||
| self.wait() | ||
|
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| def draw_axis(self): | ||
| MIN_X, MAX_X = -6, 6 | ||
| MIN_Y, MAX_Y = -3, 3 | ||
| # 1. axis | ||
| x_start = np.array([MIN_X, 0, 0]) | ||
| x_end = np.array([MAX_X, 0, 0]) | ||
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| y_start = np.array([-2, MIN_Y, 0]) | ||
| y_end = np.array([-2, MAX_Y, 0]) | ||
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| x_axis = Line(x_start, x_end, color=BLUE, stroke_width=5) | ||
| y_axis = Line(y_start, y_end, color=BLUE, stroke_width=5) | ||
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| self.add(x_axis, y_axis) | ||
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| # 2. labels | ||
| x_labels = [ | ||
| TexMobject(r"-\pi"), | ||
| TexMobject(r"-\frac {\pi} {2}"), TexMobject(r"0"), | ||
| TexMobject(r"\frac {\pi} {2}"), TexMobject(r"\pi"), | ||
| TexMobject(r"\frac {3 \pi} {2}"), TexMobject(r"2 \pi"), | ||
| TexMobject(r"\frac {5 \pi} {2}"), TexMobject(r"3 \pi} "), | ||
| TexMobject(r"\frac {7 \pi} {2}"), | ||
| ] | ||
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| y_labels = [ | ||
| TexMobject(r"-2"), TexMobject(r"-1"), TexMobject(r"0"), | ||
| TexMobject(r"1"), TexMobject(r"2"), | ||
| ] | ||
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| # i: 0 1 2 3 4 | ||
| # x:-4 5 | ||
| for i in range(len(x_labels)): | ||
| x_labels[i].scale(0.6) | ||
| x_labels[i].next_to(np.array([i - 4, 0, 0]), DOWN) | ||
| self.add(x_labels[i]) | ||
| x_labels[2].shift(RIGHT * 0.1) # zero label | ||
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| # i: 0 1 2 ... | ||
| # y:-2 -1 0 | ||
| for i in range(len(y_labels)): | ||
| if i == 2: continue | ||
| y_labels[i].scale(0.6) | ||
| y_labels[i].next_to(np.array([-2, i - 2, 0]), LEFT) | ||
| self.add(y_labels[i]) | ||
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| # 3. grid | ||
| def get_line(x1, y1, x2, y2): | ||
| return Line(np.array([x1, y1, 0]), np.array([x2, y2, 0]), stroke_color=BLUE_D, stroke_width=2, | ||
| stroke_opacity=1) | ||
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| def get_s_line(x1, y1, x2, y2): # small grid | ||
| return Line(np.array([x1, y1, 0]), np.array([x2, y2, 0]), stroke_color=BLUE_D, stroke_width=1, | ||
| stroke_opacity=0.7) | ||
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| x1, y1, x2, y2 = MIN_X, MAX_Y, MAX_X, MIN_Y | ||
| v_lines = [get_line(x, y1, x, y2) for x in range(MIN_X, MAX_X + 1)] | ||
| h_lines = [get_line(x1, y, x2, y) for y in range(MIN_Y, MAX_Y + 1)] | ||
| self.add(*v_lines, *h_lines) | ||
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| sv_lines = [get_s_line(x, y1, x, y2) for x in np.arange(MIN_X + 0.5, MAX_X, 1)] | ||
| sh_lines = [get_s_line(x1, y, x2, y) for y in np.arange(MIN_Y + 0.5, MAX_Y + 1)] | ||
| self.add(*sv_lines, *sh_lines) | ||
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| self.MIN_X, self.MAX_X = MIN_X, MAX_X | ||
| self.MIN_Y, self.MAX_Y = MIN_Y, MAX_Y | ||
| self.ORIGIN = np.array([-2,0,0]) | ||
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| def draw_wave_changing_phase(self): | ||
| def get_wave(phase): # unit: degree | ||
| return FunctionGraph( | ||
| lambda t: np.sin(t * PI / 2 - phase * PI / 180), | ||
| x_min=self.MIN_X, | ||
| x_max=self.MAX_X, | ||
| ) | ||
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| wave = get_wave(0) # 0도 | ||
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| text = TextMobject("Phase: ", color=YELLOW) | ||
| text.next_to(np.array([self.MIN_X, self.MAX_Y, 0]), UP, aligned_edge=LEFT) | ||
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| num = DecimalNumber(1, num_decimal_places=0) | ||
| num.next_to(text, RIGHT) | ||
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| dot = Dot(color=RED) | ||
| dot.move_to(self.ORIGIN) | ||
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| self.add(wave, dot, text, num) | ||
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| # ani | ||
| vt = ValueTracker(0) | ||
|
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| def update_wave(mob): | ||
| new_wave = get_wave(vt.get_value() ) | ||
| mob.become(new_wave) | ||
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| def update_num(mob): | ||
| num.set_value(vt.get_value()) | ||
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| # phase: 0 1 2 ... 90...180 | ||
| # dot : 0 1 2 | ||
| # x : -2 -1 0 | ||
| def update_dot(mob): | ||
| val = vt.get_value() | ||
| dot.move_to(np.array([val/90.0 - 2,0,0])) | ||
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| wave.add_updater(update_wave) | ||
| num.add_updater(update_num) | ||
| dot.add_updater(update_dot) | ||
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| self.play(vt.set_value, 180, rate_func=there_and_back, run_time=10) | ||
| self.wait() | ||
| self.play(vt.set_value, -180, rate_func=there_and_back, run_time=10) | ||
| self.wait() | ||
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| class Frequency_Change(Scene): | ||
| def construct(self): | ||
| self.draw_axis() | ||
| self.draw_wave_changing_freq() | ||
| self.wait() | ||
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| def draw_axis(self): | ||
| MIN_X, MAX_X = -6, 6 | ||
| MIN_Y, MAX_Y = -3,3 | ||
| #1. axis | ||
| x_start = np.array([MIN_X, 0, 0]) | ||
| x_end = np.array([MAX_X, 0, 0]) | ||
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| y_start = np.array([-2, MIN_Y, 0]) | ||
| y_end = np.array([-2, MAX_Y, 0]) | ||
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| x_axis = Line(x_start, x_end, color=BLUE, stroke_width=5) | ||
| y_axis = Line(y_start, y_end, color=BLUE, stroke_width=5) | ||
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| self.add(x_axis, y_axis) | ||
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| # 2. labels | ||
| x_labels = [ | ||
| TexMobject(r"-\pi"), | ||
| TexMobject(r"-\frac {\pi} {2}"), TexMobject(r"0"), | ||
| TexMobject(r"\frac {\pi} {2}"), TexMobject(r"\pi"), | ||
| TexMobject(r"\frac {3 \pi} {2}"), TexMobject(r"2 \pi"), | ||
| TexMobject(r"\frac {5 \pi} {2}"), TexMobject(r"3 \pi} "), | ||
| TexMobject(r"\frac {7 \pi} {2}"), | ||
| ] | ||
|
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| y_labels =[ | ||
| TexMobject(r"-2"),TexMobject(r"-1"),TexMobject(r"0"), | ||
| TexMobject(r"1"), TexMobject(r"2"), | ||
| ] | ||
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| #i: 0 1 2 3 4 | ||
| #x:-4 5 | ||
| for i in range(len(x_labels)): | ||
| x_labels[i].scale(0.6) | ||
| x_labels[i].next_to(np.array([i-4, 0, 0]), DOWN) | ||
| self.add(x_labels[i]) | ||
| x_labels[2].shift(RIGHT*0.1) #zero label | ||
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| #i: 0 1 2 ... | ||
| #y:-2 -1 0 | ||
| for i in range(len(y_labels)): | ||
| if i == 2: continue | ||
| y_labels[i].scale(0.6) | ||
| y_labels[i].next_to(np.array([-2, i-2, 0]), LEFT) | ||
| self.add(y_labels[i]) | ||
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| #3. grid | ||
| def get_line(x1,y1,x2,y2): | ||
| return Line(np.array([x1,y1,0]), np.array([x2,y2,0]), stroke_color=BLUE_D, stroke_width=2,stroke_opacity=1) | ||
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| def get_s_line(x1,y1,x2,y2): #small grid | ||
| return Line(np.array([x1, y1, 0]), np.array([x2, y2, 0]), stroke_color=BLUE_D, stroke_width=1, | ||
| stroke_opacity=0.7) | ||
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| x1, y1, x2, y2 = MIN_X, MAX_Y, MAX_X, MIN_Y | ||
| v_lines = [get_line(x,y1,x,y2) for x in range(MIN_X,MAX_X+1)] | ||
| h_lines = [get_line(x1,y,x2,y) for y in range(MIN_Y,MAX_Y+1)] | ||
| self.add(*v_lines, *h_lines) | ||
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| sv_lines = [get_s_line(x,y1,x,y2) for x in np.arange(MIN_X+0.5,MAX_X,1)] | ||
| sh_lines = [get_s_line(x1,y,x2,y) for y in np.arange(MIN_Y+0.5,MAX_Y+1)] | ||
| self.add(*sv_lines, *sh_lines) | ||
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| self.MIN_X, self.MAX_X = MIN_X, MAX_X | ||
| self.MIN_Y, self.MAX_Y = MIN_Y, MAX_Y | ||
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| def draw_wave_changing_freq(self): | ||
| def get_wave(freq): | ||
| return FunctionGraph( | ||
| lambda t: np.sin(freq * t * PI / 2), | ||
| x_min=self.MIN_X, | ||
| x_max=self.MAX_X, | ||
| ) | ||
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| wave = get_wave(1) | ||
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| text = TextMobject("Frequency: ", color=YELLOW) | ||
| text.next_to(np.array([self.MIN_X, self.MAX_Y,0]), UP, aligned_edge=LEFT) | ||
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| num = DecimalNumber(1, num_decimal_places=0) | ||
| num.next_to(text, RIGHT) | ||
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| self.add(wave, text, num) | ||
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| # ani | ||
| vt = ValueTracker(1) | ||
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| def update_wave(mob): | ||
| new_wave = get_wave(vt.get_value() ) | ||
| mob.become(new_wave) | ||
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| def update_num(mob): | ||
| num.set_value(vt.get_value() ) | ||
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| wave.add_updater(update_wave) | ||
| num.add_updater(update_num) | ||
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| self.play(vt.set_value, 20, rate_func=there_and_back, run_time=10) | ||
| self.wait() | ||
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