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import streamlit as st |
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import base64 |
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import numpy as np |
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import matplotlib.pyplot as plt |
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from matplotlib.patches import Polygon, Circle |
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def set_background(video_path): |
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"""Sets the background of the Streamlit app to a video.""" |
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with open(video_path, "rb") as video_file: |
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video_bytes = video_file.read() |
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video_base64 = base64.b64encode(video_bytes).decode("utf-8") |
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video_html = f""" |
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<style> |
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.main {{ |
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background-image: url("data:video/mp4;base64,{video_base64}"); |
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background-size: cover; |
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}} |
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</style> |
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""" |
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st.markdown(video_html, unsafe_allow_html=True) |
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set_background("numbers moving background.mp4") |
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def calculate_distance(x1, y1, x2, y2): |
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return np.sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2) |
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def calculate_angle(a, b, c): |
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try: |
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angle = np.degrees(np.arccos((b ** 2 + c ** 2 - a ** 2) / (2 * b * c))) |
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except ValueError: |
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angle = 0 |
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return angle |
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def plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, U_x, U_y, G_x, G_y, midpoints, a, b, c): |
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def is_valid_triangle(a, b, c): |
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return a + b > c and b + c > a and c + a > b |
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def main(): |
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st.title("Advanced Triangle Solver") |
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st.sidebar.header("Enter the coordinates of the three points:") |
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x1 = st.sidebar.number_input("X1", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f") |
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y1 = st.sidebar.number_input("Y1", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f") |
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x2 = st.sidebar.number_input("X2", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f") |
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y2 = st.sidebar.number_input("Y2", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f") |
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x3 = st.sidebar.number_input("X3", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f") |
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y3 = st.sidebar.number_input("Y3", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f") |
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if st.sidebar.button("Calculate"): |
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a = calculate_distance(x2, y2, x3, y3) |
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b = calculate_distance(x1, y1, x3, y3) |
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c = calculate_distance(x1, y1, x2, y2) |
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if not is_valid_triangle(a, b, c): |
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st.error("The entered points do not form a valid triangle.") |
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return |
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A = calculate_angle(a, b, c) |
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B = calculate_angle(b, a, c) |
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C = calculate_angle(c, a, b) |
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if abs(A + B + C - 180) > 1e-2: |
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st.error("The sum of the angles is not 180 degrees.") |
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return |
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area = calculate_area(a, b, c) |
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perimeter = calculate_perimeter(a, b, c) |
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radius_in = calculate_radius_inscribed_circle(a, b, c) |
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radius_circum = calculate_radius_circumscribed_circle(a, b, c) |
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G_x, G_y = calculate_centroid(x1, y1, x2, y2, x3, y3) |
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I_x, I_y = calculate_incenter(x1, y1, x2, y2, x3, y3, a, b, c) |
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U_x, U_y = calculate_circumcenter(x1, y1, x2, y2, x3, y3, a, b, c) |
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midpoints = calculate_midpoints(x1, y1, x2, y2, x3, y3) |
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plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, U_x, U_y, G_x, G_y, midpoints, a, b, c) |
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if __name__ == "__main__": |
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main() |