claude security upgrade
modified: requirements.txt modified: research/activity24-math-plot.yaml
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2 changed files with 119 additions and 37 deletions
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@ -24,3 +24,4 @@ pyyaml
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# if you want to plot charts.
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matplotlib
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numpy
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sympy
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@ -41,47 +41,128 @@ sections:
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import io
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import base64
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import re
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import sympy as sp
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# Get the user's function input from metadata
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user_function = metadata.get("user_function", "x")
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original_function = user_function
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# Preprocess the function to ensure valid syntax
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# Replace '^' with '**' for exponentiation
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user_function = user_function.replace('^', '**')
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# Add asterisks for implied multiplication (e.g., '4x' -> '4*x')
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user_function = re.sub(r'(?<=\d)(?=[a-zA-Z])', '*', user_function)
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user_function = re.sub(r'(?<=[a-zA-Z])(?=\d)', '*', user_function)
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# Replace common math functions with their math module equivalents
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math_functions = [
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'sin', 'cos', 'tan', 'exp', 'log', 'sqrt', 'abs', 'pi', 'e', 'inf',
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'sinh', 'cosh', 'tanh', 'arctan',
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]
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for func in math_functions:
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user_function = re.sub(r'\b' + func + r'\b', f'numpy.{func}', user_function)
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# Prepare the x values
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x = numpy.linspace(-10, 10, 400)
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# Evaluate the function using eval with math module
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y = eval(user_function, {"numpy": numpy, "x": x})
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# Plot the function
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matplotlib.pyplot.figure()
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matplotlib.pyplot.plot(x, y, label=f'y = {user_function}')
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matplotlib.pyplot.title(f'Plot of y = {user_function}')
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matplotlib.pyplot.xlabel('x')
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matplotlib.pyplot.ylabel('y')
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matplotlib.pyplot.grid(True)
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matplotlib.pyplot.legend()
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buf = io.BytesIO()
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matplotlib.pyplot.savefig(buf, format='png')
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matplotlib.pyplot.close()
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buf.seek(0)
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plot_image = base64.b64encode(buf.getvalue()).decode('utf-8')
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script_result = {"plot_image": plot_image}
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try:
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# Support multiple functions separated by semicolon or comma
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function_list = re.split(r'[;,]', user_function)
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function_list = [f.strip() for f in function_list if f.strip()]
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# Colors for multiple functions
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colors = ['blue', 'red', 'green', 'orange', 'purple', 'brown', 'pink', 'gray']
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matplotlib.pyplot.figure(figsize=(10, 6))
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all_y_values = []
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function_info = []
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for i, func_str in enumerate(function_list):
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# Preprocess each function
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processed_func = func_str.replace('^', '**')
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processed_func = re.sub(r'(?<=\d)(?=[a-zA-Z])', '*', processed_func)
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processed_func = re.sub(r'(?<=[a-zA-Z])(?=\d)', '*', processed_func)
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# Enhanced function preprocessing
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enhanced_replacements = {
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'arctan': 'atan',
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'arcsin': 'asin',
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'arccos': 'acos',
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'log': 'ln',
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'ln': 'log', # Allow both ln and log
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'abs': 'Abs'
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}
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parsed_function = processed_func
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for old, new in enhanced_replacements.items():
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parsed_function = re.sub(r'\b' + old + r'\b', new, parsed_function)
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# Create sympy symbol and parse expression
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x_sym = sp.Symbol('x')
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expr = sp.sympify(parsed_function, locals={'x': x_sym})
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# Analyze function characteristics for dynamic range
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func_type = analyze_function_type(expr, x_sym)
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x_range = determine_optimal_range(expr, x_sym, func_type)
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# Prepare x values with dynamic range
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x_vals = numpy.linspace(x_range[0], x_range[1], 400)
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# Convert to numpy function and evaluate
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func = sp.lambdify(x_sym, expr, 'numpy')
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y = func(x_vals)
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# Handle complex results
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if numpy.iscomplexobj(y):
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y = numpy.real(y)
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# Filter out infinite/NaN values for better plotting
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valid_mask = numpy.isfinite(y)
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x_vals_clean = x_vals[valid_mask]
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y_clean = y[valid_mask]
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if len(y_clean) > 0:
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all_y_values.extend(y_clean)
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color = colors[i % len(colors)]
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matplotlib.pyplot.plot(x_vals_clean, y_clean,
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label=f'y = {func_str}',
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color=color, linewidth=2)
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# Store function analysis info
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function_info.append({
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'function': func_str,
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'type': func_type,
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'range': x_range
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})
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# Dynamic y-axis limits based on all functions
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if all_y_values:
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y_min, y_max = numpy.percentile(all_y_values, [5, 95])
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y_range = y_max - y_min
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matplotlib.pyplot.ylim(y_min - 0.1*y_range, y_max + 0.1*y_range)
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# Enhanced plot styling
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matplotlib.pyplot.title(f'Plot of: {original_function}', fontsize=14, fontweight='bold')
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matplotlib.pyplot.xlabel('x', fontsize=12)
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matplotlib.pyplot.ylabel('y', fontsize=12)
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matplotlib.pyplot.grid(True, alpha=0.3)
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matplotlib.pyplot.legend(fontsize=10)
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# Add function analysis as text
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analysis_text = generate_function_analysis(function_info)
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buf = io.BytesIO()
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matplotlib.pyplot.tight_layout()
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matplotlib.pyplot.savefig(buf, format='png', dpi=100, bbox_inches='tight')
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matplotlib.pyplot.close()
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buf.seek(0)
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plot_image = base64.b64encode(buf.getvalue()).decode('utf-8')
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script_result = {
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"plot_image": plot_image,
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"function_analysis": analysis_text,
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"function_info": function_info
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}
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except Exception as e:
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# Handle errors gracefully with error message plot
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matplotlib.pyplot.figure()
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matplotlib.pyplot.text(0.5, 0.5, f'Error: Invalid function\n"{original_function}"\n\n{str(e)[:100]}...',
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horizontalalignment='center', verticalalignment='center',
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transform=matplotlib.pyplot.gca().transAxes, fontsize=12,
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bbox=dict(boxstyle="round,pad=0.3", facecolor="lightcoral"))
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matplotlib.pyplot.title('Function Error')
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matplotlib.pyplot.axis('off')
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buf = io.BytesIO()
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matplotlib.pyplot.savefig(buf, format='png')
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matplotlib.pyplot.close()
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buf.seek(0)
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plot_image = base64.b64encode(buf.getvalue()).decode('utf-8')
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script_result = {"plot_image": plot_image, "error": str(e)}
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buckets:
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- correct
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