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import numpy as np
import matplotlib.pyplot as plt
from matplotlib.patches import Polygon, Circle
from reportlab.lib.pagesizes import letter
from reportlab.pdfgen import canvas
from functools import lru_cache
from io import BytesIO
# Cached functions for efficiency
@lru_cache(maxsize=128)
def calculate_distance(x1, y1, x2, y2):
return np.sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2)
@lru_cache(maxsize=128)
def calculate_angle(a, b, c):
cos_angle = (b ** 2 + c ** 2 - a ** 2) / (2 * b * c)
cos_angle = np.clip(cos_angle, -1.0, 1.0)
return np.degrees(np.arccos(cos_angle))
@lru_cache(maxsize=128)
def is_valid_triangle(a, b, c):
return a + b > c and b + c > a and c + a > b
@lru_cache(maxsize=128)
def calculate_area(a, b, c):
s = (a + b + c) / 2
return np.sqrt(max(0, s * (s - a) * (s - b) * (s - c)))
def calculate_triangle_properties(x1, y1, x2, y2, x3, y3):
a = calculate_distance(x2, y2, x3, y3)
b = calculate_distance(x1, y1, x3, y3)
c = calculate_distance(x1, y1, x2, y2)
if not is_valid_triangle(a, b, c):
st.error("The entered points do not form a valid triangle. Please enter the coordinates again.")
return None
area = calculate_area(a, b, c)
perimeter = a + b + c
s = perimeter / 2
A = calculate_angle(a, b, c)
B = calculate_angle(b, a, c)
C = calculate_angle(c, a, b)
G_x, G_y = (x1 + x2 + x3) / 3, (y1 + y2 + y3) / 3 # Centroid
I_x = (a * x1 + b * x2 + c * x3) / perimeter
I_y = (a * y1 + b * y2 + c * y3) / perimeter
D = 2 * (x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2))
U_x = ((x1**2 + y1**2) * (y2 - y3) + (x2**2 + y2**2) * (y3 - y1) + (x3**2 + y3**2) * (y1 - y2)) / D
U_y = ((x1**2 + y1**2) * (x3 - x2) + (x2**2 + y2**2) * (x1 - x3) + (x3**2 + y3**2) * (x2 - x1)) / D
radius_in = area / s
radius_circum = (a * b * c) / (4 * area)
midpoints = (
((x1 + x2) / 2, (y1 + y2) / 2),
((x2 + x3) / 2, (y2 + y3) / 2),
((x3 + x1) / 2, (y3 + y1) / 2)
)
return {
'sides': (a, b, c),
'angles': (A, B, C),
'area': area,
'perimeter': perimeter,
'centroid': (G_x, G_y),
'incenter': (I_x, I_y),
'circumcenter': (U_x, U_y),
'radius_in': radius_in,
'radius_circum': radius_circum,
'midpoints': midpoints
}
def plot_triangle(vertices, properties):
fig, ax = plt.subplots(figsize=(18, 12))
(x1, y1), (x2, y2), (x3, y3) = vertices
a, b, c = properties['sides']
A, B, C = properties['angles']
I_x, I_y = properties['incenter']
U_x, U_y = properties['circumcenter']
G_x, G_y = properties['centroid']
midpoints = properties['midpoints']
radius_in = properties['radius_in']
radius_circum = properties['radius_circum']
perimeter = properties['perimeter']
area = properties['area']
triangle = Polygon(vertices, closed=True, edgecolor='b', facecolor='lightblue', linewidth=2)
ax.add_patch(triangle)
vertex_labels = [f"Vertex A ({x1:.1f}, {y1:.1f})", f"Vertex B ({x2:.1f}, {y2:.1f})", f"Vertex C ({x3:.1f}, {y3:.1f})"]
vertex_name = ["A", "B", "C"]
for i, (vx, vy) in enumerate(vertices):
ax.scatter(vx, vy, color='blue', zorder=3)
ax.text(vx+0.01*G_x, vy+0.02*G_y, vertex_name[i], fontsize=10, ha="left", va="bottom", color='blue')
key_points = [
(G_x, G_y, 'green', f"Centroid ({G_x:.1f}, {G_y:.1f})"),
(I_x, I_y, 'red', f"Incenter ({I_x:.1f}, {I_y:.1f})"),
(U_x, U_y, 'black', f"Circumcenter ({U_x:.1f}, {U_y:.1f})")
]
for x, y, color, label in key_points:
ax.scatter(x, y, color=color, zorder=5)
mid_points = [
(midpoints[0], 'orange', f"Mid-point M1 ({midpoints[0][0]:.1f}, {midpoints[0][1]:.1f})"),
(midpoints[1], 'orange', f"Mid-point M2 ({midpoints[1][0]:.1f}, {midpoints[1][1]:.1f})"),
(midpoints[2], 'orange', f"Mid-point M3 ({midpoints[2][0]:.1f}, {midpoints[2][1]:.1f})")
]
for i, (midpoint, color, label) in enumerate(mid_points):
mx, my = midpoint
ax.scatter(mx, my, color=color, zorder=3)
ax.text(mx + 0.01 * G_x, my + 0.02 * G_y, f"M{i}", fontsize=10, ha="left", va="bottom", color=color)
incircle = Circle((I_x, I_y), radius_in, color='red', fill=False, linestyle='--', linewidth=1)
circumcircle = Circle((U_x, U_y), radius_circum, color='black', fill=False, linestyle='--', linewidth=1)
ax.add_patch(incircle)
ax.add_patch(circumcircle)
handles = [
plt.Line2D([0], [0], marker='o', color='w', markerfacecolor='blue', markersize=7, label=label)
for label in vertex_labels
]
handles.extend([
plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=color, markersize=7, label=label)
for _, color, label in mid_points
])
handles.extend([
plt.Line2D([0], [0], marker='<', color='blue', markersize=7, linestyle='none', label=f"Angle {angle}: {value:.1f}°")
for angle, value in zip(['A', 'B', 'C'], [A, B, C])
])
handles.extend([
plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=color, markersize=7, label=label)
for _, _, color, label in key_points
])
handles.extend([
plt.Line2D([0], [0], linestyle='-', color='blue', markersize=6, label=f"Side {side}: {length:.1f}")
for side, length in zip(['a = BC', 'b = AC', 'c = AB'], [a, b, c])
])
handles.extend([
plt.Line2D([0], [0], marker='o', markerfacecolor='white', markeredgecolor='red', markersize=5, linestyle='none', label=f"Incircle radius: {radius_in:.1f}"),
plt.Line2D([0], [0], marker='o', markerfacecolor='white', markeredgecolor='black', markersize=8, linestyle='none', label=f"Circumcircle radius: {radius_circum:.1f}")
])
handles.extend([
plt.Line2D([0], [0], marker='^', markerfacecolor='white', markeredgecolor='blue', markersize=7, linestyle='none', label=f"Perimeter: {perimeter:.1f}"),
plt.Line2D([0], [0], marker='^', markerfacecolor='lightblue', markeredgecolor='lightblue', markersize=7, linestyle='none', label=f"Area: {area:.1f}")
])
ax.legend(handles=handles, loc='upper left', fontsize=8)
padding = 5
ax.set_xlim([min(x1, x2, x3) - padding, max(x1, x2, x3) + padding])
ax.set_ylim([min(y1, y2, y3) - padding, max(y1, y2, y3) + padding])
ax.set_aspect('equal', adjustable='datalim')
ax.set_title('Triangle Visualization', fontsize=23)
ax.set_xlabel('X-axis', fontsize=12)
ax.set_ylabel('Y-axis', fontsize=12)
plt.grid(color='gray', linestyle='--', linewidth=0.5, alpha=0.5)
st.pyplot(fig)
return fig
def save_as_pdf_reportlab(x1, y1, x2, y2, x3, y3, a, b, c, A, B, C, area, perimeter,
I_x, I_y, U_x, U_y, G_x, G_y, midpoints, radius_in, radius_circum, fig):
fig.savefig("triangle_plot.png")
canvas_obj = canvas.Canvas("Triangle_solver_results.pdf", pagesize=letter)
width, height = letter
canvas_obj.setFont("Helvetica", 16)
canvas_obj.drawString(100, height - 40, "Triangle Solver Results")
canvas_obj.setFont("Helvetica", 12)
canvas_obj.drawString(30, height - 60, "Coordinates of Triangle:")
canvas_obj.drawString(50, height - 75, f"Vertex A: ({x1:.3f}, {y1:.3f})")
canvas_obj.drawString(50, height - 90, f"Vertex B: ({x2:.3f}, {y2:.3f})")
canvas_obj.drawString(50, height - 105, f"Vertex C: ({x3:.3f}, {y3:.3f})")
canvas_obj.drawString(30, height - 130, "Mid-Points of Triangle:")
canvas_obj.drawString(50, height - 145, f"Midpoint of AB: ({midpoints[0][0]:.3f}, {midpoints[0][1]:.3f})")
canvas_obj.drawString(50, height - 160, f"Midpoint of BC: ({midpoints[1][0]:.3f}, {midpoints[1][1]:.3f})")
canvas_obj.drawString(50, height - 175, f"Midpoint of AC: ({midpoints[2][0]:.3f}, {midpoints[2][1]:.3f})")
canvas_obj.drawString(30, height - 200, "Angles of Triangle:")
canvas_obj.drawString(50, height - 215, f"Angle A: {A:.3f}°")
canvas_obj.drawString(50, height - 230, f"Angle B: {B:.3f}°")
canvas_obj.drawString(50, height - 245, f"Angle C: {C:.3f}°")
canvas_obj.drawString(30, height - 270, "Sides of Triangle:")
canvas_obj.drawString(50, height - 285, f"Side a = BC: {a:.3f} units")
canvas_obj.drawString(50, height - 300, f"Side b = AC: {b:.3f} units")
canvas_obj.drawString(50, height - 315, f"Side c = AB: {c:.3f} units")
canvas_obj.drawString(30, height - 340, "Other Properties:")
canvas_obj.drawString(50, height - 355, f"Centroid: ({G_x:.3f}, {G_y:.3f})")
canvas_obj.drawString(50, height - 370, f"Perimeter: {perimeter:.3f} units")
canvas_obj.drawString(50, height - 385, f"Area: {area:.3f} square units")
canvas_obj.drawString(30, height - 410, "Incenter of Triangle:")
canvas_obj.drawString(50, height - 425, f"Coordinates: ({I_x:.3f}, {I_y:.3f})")
canvas_obj.drawString(50, height - 440, f"Radius: {radius_in:.3f} units")
canvas_obj.drawString(30, height - 465, "Circumcenter of Triangle:")
canvas_obj.drawString(50, height - 480, f"Coordinates: ({U_x:.3f}, {U_y:.3f})")
canvas_obj.drawString(50, height - 495, f"Radius: {radius_circum:.3f} units")
canvas_obj.drawImage("triangle_plot.png", 30, height - 650, width=500, height=300)
canvas_obj.save()
return
def main():
st.markdown("""
<h1 style='text-align: left;'>
<span style="display: inline-block; transform: scaleX(-1);">◭</span> Advanced Triangle Solver ◭
</h1> """, unsafe_allow_html=True)
def get_coordinate_inputs():
st.sidebar.header("Enter the cartesian coordinates for the three points of a triangle:")
coordinates = {}
for point, label in [('1', 'A'), ('2', 'B'), ('3', 'C')]:
cols = st.sidebar.columns([3, 3])
coordinates[f'x{point}'] = cols[0].number_input(
f"X{point}", value=0.0, min_value=-100.0, max_value=100.0, step=0.001, format="%.3f"
)
coordinates[f'y{point}'] = cols[1].number_input(
f"Y{point}", value=0.0, min_value=-100.0, max_value=100.0, step=0.001, format="%.3f"
)
return coordinates
coords = get_coordinate_inputs()
st.sidebar.markdown("<br>", unsafe_allow_html=True)
button_col = st.sidebar.columns([1, 2, 1])
if not button_col[1].button("Solve Triangle"):
return
properties = calculate_triangle_properties(
coords['x1'], coords['y1'],
coords['x2'], coords['y2'],
coords['x3'], coords['y3']
)
if properties is None:
return
a, b, c = properties['sides']
A, B, C = properties['angles']
area = properties['area']
perimeter = properties['perimeter']
G_x, G_y = properties['centroid']
I_x, I_y = properties['incenter']
U_x, U_y = properties['circumcenter']
radius_in = properties['radius_in']
radius_circum = properties['radius_circum']
midpoints = properties['midpoints']
vertices = [(coords['x1'], coords['y1']),
(coords['x2'], coords['y2']),
(coords['x3'], coords['y3'])]
st.success("The entered points form a valid triangle.")
def display_coordinates():
col1, col2 = st.columns(2)
with col1:
st.subheader("Coordinates of Triangle:")
for i, vertex in enumerate(['A', 'B', 'C']):
st.markdown(f"Vertex {vertex}: **({vertices[i][0]:.3f}, {vertices[i][1]:.3f})**")
with col2:
st.subheader("Mid-Points of Triangle:")
for i, points in enumerate([('A','B'), ('B','C'), ('A','C')]):
st.markdown(f"Midpoint of {points[0]}{points[1]}: **({midpoints[i][0]:.3f}, {midpoints[i][1]:.3f})**")
def display_measurements():
col1, col2 = st.columns(2)
with col1:
st.subheader("Angles of Triangle:")
for angle, value in zip(['A', 'B', 'C'], [A, B, C]):
st.markdown(f"Angle {angle}: **{value:.3f}°**")
with col2:
st.subheader("Sides of Triangle:")
for side, value in zip(['a = BC', 'b = AC', 'c = AB'], [a, b, c]):
st.markdown(f"Side {side}: **{value:.3f}** units")
def display_centers():
col1, col2 = st.columns(2)
with col1:
st.subheader("Incenter of Triangle:")
st.markdown(f"Coordinates: **({I_x:.3f}, {I_y:.3f})**")
st.markdown(f"Radius: **{radius_in:.3f}** units")
with col2:
st.subheader("Circumcenter of Triangle:")
st.markdown(f"Coordinates: **({U_x:.3f}, {U_y:.3f})**")
st.markdown(f"Radius: **{radius_circum:.3f}** units")
def display_other_properties():
col1, col2, col3 = st.columns([1, 2, 1])
with col2:
st.subheader("Other Properties:")
st.markdown(f"Centroid: **({G_x:.3f}, {G_y:.3f})**")
st.markdown(f"Perimeter: **{perimeter:.3f}** units")
st.markdown(f"Area: **{area:.3f}** square units")
display_coordinates()
display_measurements()
display_centers()
display_other_properties()
# Plot triangle
fig = plot_triangle(vertices, properties)
### Code for Save as PDF
# Generate PDF and get the data
save_as_pdf_reportlab(
coords['x1'], coords['y1'], coords['x2'], coords['y2'], coords['x3'], coords['y3'],
a, b, c, A, B, C, area, perimeter, I_x, I_y, U_x, U_y, G_x, G_y,
midpoints, radius_in, radius_circum, fig)
# Read the saved PDF file
with open("Triangle_solver_results.pdf", "rb") as pdf_file:
pdf_data = pdf_file.read()
# Download button
st.download_button("Download PDF", pdf_data,
file_name="Triangle_solver_results.pdf",
mime="application/pdf")
## Old code for Save as PDF
# if st.button("Save as PDF"):
# save_as_pdf_reportlab(
# coords['x1'], coords['y1'], coords['x2'], coords['y2'], coords['x3'], coords['y3'],
# a, b, c, A, B, C, area, perimeter, I_x, I_y, U_x, U_y, G_x, G_y,
# midpoints, radius_in, radius_circum, fig
# )
# st.success("Results saved as PDF!")
# with open("Triangle_solver_results.pdf", "rb") as pdf_file:
# st.download_button("Download PDF", pdf_file, file_name="Triangle_solver_results.pdf")
### New code for Save as PDF
# if st.button("Save as PDF"):
# try:
# # Add debug message
# st.info("Creating PDF... Please wait")
# # Call your PDF creation function
# save_as_pdf_reportlab(
# coords['x1'], coords['y1'], coords['x2'], coords['y2'], coords['x3'], coords['y3'],
# a, b, c, A, B, C, area, perimeter, I_x, I_y, U_x, U_y, G_x, G_y,
# midpoints, radius_in, radius_circum, fig
# )
# # Check if file exists and has content
# pdf_path = "Triangle_solver_results.pdf"
# if os.path.exists(pdf_path) and os.path.getsize(pdf_path) > 0:
# st.success("PDF created successfully!")
# # Read the PDF file
# with open(pdf_path, "rb") as pdf_file:
# pdf_data = pdf_file.read()
# # Create download button
# st.download_button(
# label="📄 Download PDF",
# data=pdf_data,
# file_name="Triangle_solver_results.pdf",
# mime="application/pdf"
# )
# else:
# st.error("❌ PDF file was not created or is empty!")
# st.info("Check if the save_as_pdf_reportlab function is working correctly")
# except FileNotFoundError as e:
# st.error(f"❌ File not found: {e}")
# except PermissionError as e:
# st.error(f"❌ Permission denied: {e}")
# except Exception as e:
# st.error(f"❌ Error creating PDF: {str(e)}")
# st.info("Please check your save_as_pdf_reportlab function for errors")
# # Alternative: Test if your PDF function works at all
# if st.button("🔍 Debug PDF Function"):
# try:
# st.info("Testing PDF creation...")
# # Test with minimal parameters
# save_as_pdf_reportlab(
# coords['x1'], coords['y1'], coords['x2'], coords['y2'], coords['x3'], coords['y3'],
# a, b, c, A, B, C, area, perimeter, I_x, I_y, U_x, U_y, G_x, G_y,
# midpoints, radius_in, radius_circum, fig
# )
# st.success("PDF function executed without errors")
# except Exception as e:
# st.error(f"PDF function failed: {str(e)}")
# st.code(str(e)) # Show detailed error
if __name__ == "__main__":
main() |