implement simpy in the code for LaTeX like of rendering mathematical notations in the results field. Python 3.12 Code: import math
import re
from typing import Any, Union, Callable

from PySide6.QtWidgets import (
QApplication, QMainWindow, QWidget, QVBoxLayout, QHBoxLayout,
QLineEdit, QTextEdit, QScrollBar, QPushButton, QLabel, QFrame,
QGridLayout
)
from PySide6.QtGui import QFont
from PySide6.QtCore import Qt, QSize

def convert_angle(func: Callable[[float], float], x: float, use_degrees: bool) -> float:
"""Apply trig function with optional degree conversion."""
return func(math.radians(x) if use_degrees else x)

def kilograms_to_pounds(kg: float) -> float:
"""Convert kilograms to pounds."""
return kg / 0.45359237

def pounds_to_kilograms(lb: float) -> float:
"""Convert pounds to kilograms."""
return lb * 0.45359237

def celsius_to_kelvin(c: float) -> float:
"""Convert Celsius to Kelvin."""
return c + 273.15

def kelvin_to_celsius(k: float) -> float:
"""Convert Kelvin to Celsius."""
return k - 273.15

def celsius_to_fahrenheit(c: float) -> float:
"""Convert Celsius to Fahrenheit."""
return c * 9 / 5 + 32

def fahrenheit_to_celsius(f: float) -> float:
"""Convert Fahrenheit to Celsius."""
return (f - 32) * 5 / 9

def capitalize_sentence(sentence: str) -> str:
"""Capitalize first letter of each word."""
return ' '.join(word.capitalize() for word in sentence.split())

def remove_duplicates(text: str) -> str:
"""Remove duplicate words and empty lines."""
words = ' '.join(line.strip() for line in text.splitlines() if line.strip()).split()
return ' '.join(dict.fromkeys(words))

def get_safe_globals(use_degrees: bool, variables: dict) -> dict:
"""Provide safe globals for expression evaluation."""
trig_funcs = {'sin', 'cos', 'tan', 'asin', 'acos', 'atan'}
safe_globals = {
"sqrt": math.sqrt,
"log": math.log10,
"ln": math.log,
"pi": math.pi,
"e": math.e,
"lb": kilograms_to_pounds,
"kg": pounds_to_kilograms,
"C": kelvin_to_celsius,
"K": celsius_to_kelvin,
"F": celsius_to_fahrenheit,
"CF": fahrenheit_to_celsius,
"capitalize": capitalize_sentence,
"duplicates": remove_duplicates,
}
for func in trig_funcs:
safe_globals[func] = lambda x, f=func: convert_angle(getattr(math, f), x, use_degrees)
safe_globals.update(variables)
return safe_globals

def preprocess_text_functions(expression: str) -> str:
"""Preprocess text functions with argument quotes."""
def add_quotes(match):
func, args = match.groups()
return f'{func}("{args}")' if func in ['capitalize', 'duplicates'] else match.group(0)
return re.sub(r'\b(capitalize|duplicates)\s*(\s*([^)]+)\s*)', add_quotes, expression)

def validate_inverse_trig(expression: str, safe_globals: dict) -> Union[str, None]:
"""Check inverse trig function domain validity."""
for func, arg in re.findall(r"(\b\w+\b)\s*(\s*([^)]+)\s*)", expression):
if func in ["asin", "acos"]:
try:
value = eval(arg, {"builtins": None}, safe_globals)
if abs(value) > 1:
return f"Error: {func}(x) is undefined for |x| > 1"
except Exception as e:
return f"Error: {e}"
return None

def safe_evaluate(expression: str, safe_globals: dict, use_e_notation: bool) -> Union[str, Any]:
"""Safely evaluate expression and format result."""
try:
result = eval(expression, {"builtins": None}, safe_globals)
if isinstance(result, float) and abs(result) < 1e-10:
result = 0.0
if isinstance(result, (int, float)):
result = f"{result:.2e}" if use_e_notation else round(result, 2)
return result
except Exception as e:
return f"Error: {e}"

def evaluate_expression(expression: str, variables: dict, use_degrees: bool = False, use_e_notation: bool = False) -> Union[float, str]:
"""Evaluate math expression considering modes."""
assignment_match = re.match(r'^\s*([a-zA-Z_]\w*)\s*=\s*(.+)$', expression)
if assignment_match:
var_name, var_expr = assignment_match.groups()
safe_globals = get_safe_globals(use_degrees, variables)
var_value = safe_evaluate(var_expr, safe_globals, use_e_notation)
if isinstance(var_value, (int, float)):
variables[var_name] = var_value
return f"{var_name} = {var_value}"
return var_value
else:
safe_globals = get_safe_globals(use_degrees, variables)
expression = expression.replace("^", "**")
expression = preprocess_text_functions(expression)
error = validate_inverse_trig(expression, safe_globals)
if error:
return error
return safe_evaluate(expression, safe_globals, use_e_notation)

class CalculatorGUI(QMainWindow):
"""PySide6-based calculator application."""

def __init__(self):
    super().__init__()
    self.use_degrees = False
    self.use_e_notation = False
    self.variables = {}
    self.history_entries = []
    self.setup_window()
    self.create_widgets()
    self.layout_widgets()
    self.connect_signals()

def setup_window(self) -> None:
    """Set main window properties."""
    self.setWindowTitle("Calculator")
    self.setGeometry(100, 100, 1280, 720)

def create_widgets(self) -> None:
    """Initialize GUI components."""
    font = QFont()
    font.setPointSize(12)
    font.setFamily('Literata')

    self.entry = QLineEdit()
    self.entry.setFont(font)
    self.entry.setPlaceholderText('Enter expression')
    self.entry.setClearButtonEnabled(True)
    self.entry.returnPressed.connect(self.calculate)

    self.history_text = QTextEdit()
    self.history_text.setFont(font)
    self.history_text.setReadOnly(True)

    self.scrollbar = QScrollBar(Qt.Vertical)
    self.history_text.setVerticalScrollBar(self.scrollbar)

    self.search_button = QPushButton("🔍", self.history_text)
    self.search_button.setFixedSize(24, 24)
    self.search_button.setToolTip("Search History")
    self.search_button.setStyleSheet("""
        QPushButton {
            border: none;
            background-color: rgba(255, 255, 255, 200);
            font-size: 14px;
            border-radius: 12px;
        }
        QPushButton:hover {
            background-color: rgba(0, 120, 215, 200);
            color: white;
        }
    """)
    self.search_button.clicked.connect(self.toggle_search)

    self.search_bar = QLineEdit(self.history_text)
    self.search_bar.setPlaceholderText("Search...")
    self.search_bar.setFixedHeight(24)
    self.search_bar.setVisible(False)
    self.search_bar.setStyleSheet("""
        QLineEdit {
            border: 1px solid gray;
            border-radius: 4px;
            padding: 2px 4px;
            background-color: white;
        }
    """)
    self.search_bar.textChanged.connect(self.filter_history)
    self.search_bar.setClearButtonEnabled(True)

    self.function_buttons = {
        "Functions": ["sqrt", "sin", "cos", "tan", "asin", "acos", "atan", "log", "ln"],
        "Conversions": ["lb", "kg", "K", "C", "F", "CF"],
        "Text": ["capitalize", "duplicates"],
        "Constants": ["pi", "e"],
        "Settings": []
    }
    self.function_frame = QFrame()
    self.create_function_buttons(font)

def create_function_buttons(self, font: QFont) -> None:
    """Create buttons for calculator functions."""
    layout = QGridLayout()
    categories = [("Functions", 3), ("Conversions", 2), ("Text", 2), ("Constants", 2), ("Settings", 1)]
    starting_col = 0

    for category, col_span in categories:
        label = QLabel(category)
        label.setFont(font)
        layout.addWidget(label, 0, starting_col, 1, col_span, Qt.AlignCenter)

        buttons = self.function_buttons.get(category, [])
        if category == "Functions":
            for i, func in enumerate(buttons):
                button = QPushButton(func)
                button.setFont(font)
                button.clicked.connect(lambda _, f=func: self.insert_function(f, False))
                layout.addWidget(button, (i // 3) + 1, starting_col + (i % 3))

        elif category == "Settings":
            self.mode_button = QPushButton("Radians")
            self.mode_button.setFont(font)
            self.mode_button.clicked.connect(self.toggle_mode)
            layout.addWidget(self.mode_button, 1, starting_col, 1, 1)

            self.e_notation_button = QPushButton("E Notation: Off")
            self.e_notation_button.setFont(font)
            self.e_notation_button.clicked.connect(self.toggle_e_notation)
            layout.addWidget(self.e_notation_button, 2, starting_col, 1, 1)

        elif category == "Conversions":
            for idx, func in enumerate(buttons):
                display_text = {
                    "lb": "lb(kg)", "kg": "kg(lb)", "K": "K(°C)",
                    "C": "°C(K)", "F": "F(°C)", "CF": "°C(F)"
                }.get(func, func)
                button = QPushButton(display_text)
                button.setFont(font)
                button.clicked.connect(lambda _, f=func: self.insert_function(f, False))
                row, col = 1 + idx // 2, starting_col + idx % 2
                layout.addWidget(button, row, col)

        else:
            num_buttons = len(buttons)
            num_rows = math.ceil(num_buttons / col_span)

            for idx, func in enumerate(buttons):
                button = QPushButton(func)
                button.setFont(font)
                button.clicked.connect(lambda _, f=func, c=(category == "Constants"): self.insert_function(f, c))
                row, col = 1 + idx // col_span, starting_col + idx % col_span
                layout.addWidget(button, row, col)

            for extra in range(col_span * num_rows - num_buttons):
                layout.addWidget(QLabel(""), 1 + extra // col_span, starting_col + extra % col_span)

        starting_col += col_span

    self.function_frame.setLayout(layout)

def layout_widgets(self) -> None:
    """Arrange widgets in the main window."""
    central_widget = QWidget()
    main_layout = QVBoxLayout()

    main_layout.addWidget(self.entry)

    history_layout = QHBoxLayout()
    history_layout.addWidget(self.history_text)
    history_layout.addWidget(self.scrollbar)
    main_layout.addLayout(history_layout)

    main_layout.addWidget(self.function_frame)

    central_widget.setLayout(main_layout)
    self.setCentralWidget(central_widget)

def connect_signals(self) -> None:
    """Connect widget signals."""
    QApplication.instance().focusChanged.connect(self.on_focus_changed)

def toggle_mode(self) -> None:
    """Toggle between degrees and radians."""
    self.use_degrees = not self.use_degrees
    self.mode_button.setText("Degrees" if self.use_degrees else "Radians")

def toggle_e_notation(self) -> None:
    """Toggle scientific notation for results."""
    self.use_e_notation = not self.use_e_notation
    self.e_notation_button.setText(f"E Notation: {'On' if self.use_e_notation else 'Off'}")

def insert_function(self, function: str, is_constant: bool = False) -> None:
    """Insert function or constant in entry."""
    current_text = self.entry.text()
    cursor_position = self.entry.cursorPosition()
    if is_constant:
        new_text = f"{current_text[:cursor_position]}{function}"
        new_cursor_position = cursor_position + len(function)
    else:
        new_text = f"{current_text[:cursor_position]}{function}() {current_text[cursor_position:]}"
        new_cursor_position = cursor_position + len(function) + 1
    self.entry.setText(new_text)
    self.entry.setCursorPosition(new_cursor_position)
    self.entry.setFocus()

def calculate(self) -> None:
    """Evaluate entered expression."""
    expression = self.entry.text().strip()
    if expression:
        result = evaluate_expression(
            expression, self.variables, use_degrees=self.use_degrees, use_e_notation=self.use_e_notation
        )
        self.display_result(expression, result)
        self.entry.clear()

def display_result(self, expression: str, result: Union[float, str]) -> None:
    """Show result in history."""
    mode = "D" if self.use_degrees else "R"
    if re.match(r'^\s*[a-zA-Z_]\w*\s*=\s*.+$', expression):
        history_entry = f"[{mode}] {result}"
    else:
        history_entry = f"[{mode}] {expression} = {result}"
    self.history_entries.append(history_entry)
    self.refresh_history()
    self.history_text.verticalScrollBar().setValue(
        self.history_text.verticalScrollBar().maximum()
    )

def toggle_search(self) -> None:
    """Toggle search bar visibility."""
    is_visible = self.search_bar.isVisible()
    self.search_bar.setVisible(not is_visible)
    if not is_visible:
        self.search_bar.setFocus()
        self.search_bar.setText("")
    else:
        self.search_bar.clear()
    self.update_search_bar_position()
    self.refresh_history()

def filter_history(self, text: str) -> None:
    """Filter history based on search input."""
    self.refresh_history(text)

def refresh_history(self, filter_text: str = "") -> None:
    """Refresh history view with optional filtering."""
    self.history_text.clear()
    for entry in self.history_entries:
        if filter_text.lower() in entry.lower():
            self.history_text.append(entry)

def resizeEvent(self, event) -> None:
    """Handle window resize events."""
    super().resizeEvent(event)
    self.update_search_bar_position()

def update_search_bar_position(self) -> None:
    """Reposition search button and bar, moving search button left when search bar is open."""
    margin_right = 5
    margin_top = 5
    spacing = 5

    history_width = self.history_text.viewport().width()

    search_bar_width = int(history_width * 0.25)
    total_width = self.search_button.width() + spacing + search_bar_width

    if total_width > history_width:
        search_bar_width = history_width - self.search_button.width() - spacing - margin_right

    if self.search_bar.isVisible():
        self.search_button.move(
            history_width - total_width - margin_right,
            margin_top
        )
        self.search_bar.setFixedWidth(search_bar_width)
        self.search_bar.move(
            self.search_button.x() + self.search_button.width() + spacing,
            self.search_button.y()
        )
    else:
        self.search_button.move(
            history_width - self.search_button.width() - margin_right,
            margin_top
        )

def on_focus_changed(self, old: QWidget, new: QWidget) -> None:
    """Auto-hide search if focus is lost."""
    if self.search_bar.isVisible() and not self.search_bar.text().strip() and new != self.search_bar:
        self.toggle_search()

def showEvent(self, event) -> None:
    """Position search button on showing the window."""
    super().showEvent(event)
    self.update_search_bar_position()

def main() -> None:
"""Start the calculator application."""
app = QApplication([])
calculator = CalculatorGUI()
calculator.show()
app.exec()

if name == "main":
main()