|  | 
|  | 1 | +from IPython.display import display, Math, HTML  # type: ignore | 
|  | 2 | +import hypernetx as hnx  # type: ignore | 
|  | 3 | +import matplotlib.pyplot as plt  # type: ignore | 
|  | 4 | +import re | 
|  | 5 | + | 
|  | 6 | + | 
|  | 7 | +def display_full_results(validation_results, requirements=None, show_hypergraph=True): | 
|  | 8 | +    """Display equation validation results optimized for dark theme notebooks.""" | 
|  | 9 | +    validations = validation_results.get("validations", {}) | 
|  | 10 | + | 
|  | 11 | +    matching = [] | 
|  | 12 | +    non_matching = [] | 
|  | 13 | + | 
|  | 14 | +    for eq_name, value in validations.items(): | 
|  | 15 | +        equation_data = { | 
|  | 16 | +            "name": eq_name, | 
|  | 17 | +            "latex": value.get("original_format", ""), | 
|  | 18 | +            "lhs": value.get("lhs_value"), | 
|  | 19 | +            "rhs": value.get("rhs_value"), | 
|  | 20 | +            "diff": abs(value.get("lhs_value", 0) - value.get("rhs_value", 0)), | 
|  | 21 | +            "percent_diff": abs(value.get("lhs_value", 0) - value.get("rhs_value", 0)) | 
|  | 22 | +            / max(abs(value.get("rhs_value", 0)), 1e-10) | 
|  | 23 | +            * 100, | 
|  | 24 | +            "used_values": value.get("used_values", {}), | 
|  | 25 | +        } | 
|  | 26 | +        if value.get("is_valid"): | 
|  | 27 | +            matching.append(equation_data) | 
|  | 28 | +        else: | 
|  | 29 | +            non_matching.append(equation_data) | 
|  | 30 | + | 
|  | 31 | +    # Summary header with dark theme | 
|  | 32 | +    total = len(validations) | 
|  | 33 | +    display( | 
|  | 34 | +        HTML( | 
|  | 35 | +            '<div style="background-color:#1e1e1e; padding:20px; border-radius:10px; margin:20px 0; ' | 
|  | 36 | +            'border:1px solid #3e3e3e;">' | 
|  | 37 | +            f'<h2 style="font-family:Arial; color:#e0e0e0; margin-bottom:15px">Equation Validation Analysis</h2>' | 
|  | 38 | +            f'<p style="font-family:Arial; font-size:16px; color:#e0e0e0">' | 
|  | 39 | +            f"<b>Total equations analyzed:</b> {total}<br>" | 
|  | 40 | +            f'<span style="color:#4caf50">✅ Matching equations: {len(matching)}</span><br>' | 
|  | 41 | +            f'<span style="color:#ff5252">❌ Non-matching equations: {len(non_matching)}</span></p>' | 
|  | 42 | +            "</div>" | 
|  | 43 | +        ) | 
|  | 44 | +    ) | 
|  | 45 | + | 
|  | 46 | +    # Non-matching equations | 
|  | 47 | +    if non_matching: | 
|  | 48 | +        display( | 
|  | 49 | +            HTML( | 
|  | 50 | +                '<div style="background-color:#2d1f1f; padding:20px; border-radius:10px; margin:20px 0; ' | 
|  | 51 | +                'border:1px solid #4a2f2f;">' | 
|  | 52 | +                '<h3 style="color:#ff5252; font-family:Arial">⚠️ Equations Not Satisfied</h3>' | 
|  | 53 | +            ) | 
|  | 54 | +        ) | 
|  | 55 | + | 
|  | 56 | +        for eq in non_matching: | 
|  | 57 | +            display(HTML(f'<h4 style="color:#e0e0e0; font-family:Arial">{eq["name"]}</h4>')) | 
|  | 58 | +            display(Math(eq["latex"])) | 
|  | 59 | +            display( | 
|  | 60 | +                HTML( | 
|  | 61 | +                    '<div style="font-family:monospace; margin-left:20px; margin-bottom:20px; ' | 
|  | 62 | +                    "background-color:#2a2a2a; color:#e0e0e0; padding:15px; border-radius:5px; " | 
|  | 63 | +                    'border-left:4px solid #ff5252">' | 
|  | 64 | +                    f"Left side  = {eq['lhs']:.6g}<br>" | 
|  | 65 | +                    f"Right side = {eq['rhs']:.6g}<br>" | 
|  | 66 | +                    f"Absolute difference = {eq['diff']:.6g}<br>" | 
|  | 67 | +                    f"Relative difference = {eq['percent_diff']:.2f}%<br>" | 
|  | 68 | +                    "<br>Used values:<br>" | 
|  | 69 | +                    + "<br>".join([f"{k} = {v:.6g}" for k, v in eq["used_values"].items()]) | 
|  | 70 | +                    + "</div>" | 
|  | 71 | +                ) | 
|  | 72 | +            ) | 
|  | 73 | + | 
|  | 74 | +        display(HTML("</div>")) | 
|  | 75 | + | 
|  | 76 | +    # Matching equations | 
|  | 77 | +    if matching: | 
|  | 78 | +        display( | 
|  | 79 | +            HTML( | 
|  | 80 | +                '<div style="background-color:#1f2d1f; padding:20px; border-radius:10px; margin:20px 0; ' | 
|  | 81 | +                'border:1px solid #2f4a2f;">' | 
|  | 82 | +                '<h3 style="color:#4caf50; font-family:Arial">✅ Satisfied Equations</h3>' | 
|  | 83 | +            ) | 
|  | 84 | +        ) | 
|  | 85 | + | 
|  | 86 | +        for eq in matching: | 
|  | 87 | +            display(HTML(f'<h4 style="color:#e0e0e0; font-family:Arial">{eq["name"]}</h4>')) | 
|  | 88 | +            display(Math(eq["latex"])) | 
|  | 89 | +            display( | 
|  | 90 | +                HTML( | 
|  | 91 | +                    '<div style="font-family:monospace; margin-left:20px; margin-bottom:20px; ' | 
|  | 92 | +                    "background-color:#2a2a2a; color:#e0e0e0; padding:15px; border-radius:5px; " | 
|  | 93 | +                    'border-left:4px solid #4caf50">' | 
|  | 94 | +                    f"Value = {eq['lhs']:.6g}<br>" | 
|  | 95 | +                    "<br>Used values:<br>" | 
|  | 96 | +                    + "<br>".join([f"{k} = {v:.6g}" for k, v in eq["used_values"].items()]) | 
|  | 97 | +                    + "</div>" | 
|  | 98 | +                ) | 
|  | 99 | +            ) | 
|  | 100 | + | 
|  | 101 | +        display(HTML("</div>")) | 
|  | 102 | + | 
|  | 103 | +    # Hypergraph visualization | 
|  | 104 | +    if show_hypergraph and requirements: | 
|  | 105 | +        display( | 
|  | 106 | +            HTML( | 
|  | 107 | +                '<div style="background-color:#1e1e1e; padding:20px; border-radius:10px; margin:20px 0; ' | 
|  | 108 | +                'border:1px solid #3e3e3e;">' | 
|  | 109 | +                '<h3 style="color:#e0e0e0; font-family:Arial">🔍 Equation Relationship Analysis</h3>' | 
|  | 110 | +                '<p style="font-family:Arial; color:#e0e0e0">The following graph shows how variables are connected through equations:</p>' | 
|  | 111 | +                "</div>" | 
|  | 112 | +            ) | 
|  | 113 | +        ) | 
|  | 114 | + | 
|  | 115 | +        list_api_requirements = requirements | 
|  | 116 | + | 
|  | 117 | +        # Match get_eq_hypergraph settings exactly | 
|  | 118 | +        plt.rcParams["text.usetex"] = False | 
|  | 119 | +        plt.rcParams["mathtext.fontset"] = "stix" | 
|  | 120 | +        plt.rcParams["font.family"] = "serif" | 
|  | 121 | + | 
|  | 122 | +        # Prepare hypergraph data | 
|  | 123 | +        hyperedges = {} | 
|  | 124 | +        for eq_name, details in validations.items(): | 
|  | 125 | +            # Create a set of variables used in this equation | 
|  | 126 | +            used_vars = {f"${var}$" for var in details["used_values"].keys()} | 
|  | 127 | +            hyperedges[_get_latex_string_format(details["original_format"])] = used_vars | 
|  | 128 | + | 
|  | 129 | +        # Create and plot the hypergraph | 
|  | 130 | +        H = hnx.Hypergraph(hyperedges) | 
|  | 131 | +        plt.figure(figsize=(16, 12)) | 
|  | 132 | + | 
|  | 133 | +        # Draw hypergraph with exact same settings as get_eq_hypergraph | 
|  | 134 | +        hnx.draw( | 
|  | 135 | +            H, | 
|  | 136 | +            with_edge_labels=True, | 
|  | 137 | +            edge_labels_on_edge=False, | 
|  | 138 | +            node_labels_kwargs={"fontsize": 14}, | 
|  | 139 | +            edge_labels_kwargs={"fontsize": 14}, | 
|  | 140 | +            layout_kwargs={"seed": 42, "scale": 2.5}, | 
|  | 141 | +        ) | 
|  | 142 | + | 
|  | 143 | +        node_labels = list(H.nodes) | 
|  | 144 | +        symbol_explanations = _get_node_names_for_node_lables(node_labels, list_api_requirements) | 
|  | 145 | + | 
|  | 146 | +        explanation_text = "\n".join([f"${symbol}$: {desc}" for symbol, desc in symbol_explanations]) | 
|  | 147 | +        plt.annotate( | 
|  | 148 | +            explanation_text, | 
|  | 149 | +            xy=(1.05, 0.5), | 
|  | 150 | +            xycoords="axes fraction", | 
|  | 151 | +            fontsize=14, | 
|  | 152 | +            verticalalignment="center", | 
|  | 153 | +        ) | 
|  | 154 | + | 
|  | 155 | +        plt.title(r"Enhanced Hypergraph of Equations and Variables", fontsize=20) | 
|  | 156 | +        plt.show() | 
|  | 157 | + | 
|  | 158 | +    return None | 
|  | 159 | + | 
|  | 160 | + | 
|  | 161 | +def _get_node_names_for_node_lables(node_labels, api_requirements): | 
|  | 162 | +    """ | 
|  | 163 | +    Creates mapping between symbols and their descriptions. | 
|  | 164 | +
 | 
|  | 165 | +    Args: | 
|  | 166 | +        node_labels: List of node labels (symbols) from the hypergraph | 
|  | 167 | +        api_requirements: Can be either: | 
|  | 168 | +            - List of dicts with {"latex_symbol": str, "requirement_name": str} | 
|  | 169 | +            - Dictionary mapping variable names to their descriptions | 
|  | 170 | +    """ | 
|  | 171 | +    node_names = [] | 
|  | 172 | + | 
|  | 173 | +    # Handle case where api_requirements is a dictionary | 
|  | 174 | +    if isinstance(api_requirements, dict): | 
|  | 175 | +        for symbol in node_labels: | 
|  | 176 | +            clean_symbol = symbol.replace("$", "") | 
|  | 177 | +            if clean_symbol in api_requirements: | 
|  | 178 | +                node_names.append((clean_symbol, api_requirements[clean_symbol])) | 
|  | 179 | +        return node_names | 
|  | 180 | + | 
|  | 181 | +    # Handle case where api_requirements is a list of dicts | 
|  | 182 | +    for symbol in node_labels: | 
|  | 183 | +        clean_symbol = symbol.replace("$", "") | 
|  | 184 | +        for req in api_requirements: | 
|  | 185 | +            if isinstance(req, dict) and req.get("latex_symbol") == clean_symbol: | 
|  | 186 | +                node_names.append((req["latex_symbol"], req["requirement_name"])) | 
|  | 187 | +                break | 
|  | 188 | + | 
|  | 189 | +    return node_names | 
|  | 190 | + | 
|  | 191 | + | 
|  | 192 | +def _get_latex_string_format(input_string): | 
|  | 193 | +    """ | 
|  | 194 | +    Properly formats LaTeX strings for matplotlib when text.usetex is False. | 
|  | 195 | +    No escaping needed since mathtext handles backslashes properly. | 
|  | 196 | +    """ | 
|  | 197 | +    return f"${input_string}$"  # No backslash escaping required | 
|  | 198 | + | 
|  | 199 | + | 
|  | 200 | +def _get_requirements_set(requirements): | 
|  | 201 | +    variable_set = set() | 
|  | 202 | +    for req in requirements: | 
|  | 203 | +        variable_set.add(req["latex_symbol"]) | 
|  | 204 | + | 
|  | 205 | +    return variable_set | 
|  | 206 | + | 
|  | 207 | + | 
|  | 208 | +def _find_vars_in_eq(equation, variable_set): | 
|  | 209 | +    patterns = [re.escape(var) for var in variable_set] | 
|  | 210 | +    combined_pattern = r"|".join(patterns) | 
|  | 211 | +    matches = re.findall(combined_pattern, equation) | 
|  | 212 | +    return {rf"${match}$" for match in matches} | 
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