feat: Initialize frontend and backend structure with essential configurations

- Added TypeScript build info for frontend.
- Created Vite configuration for React application.
- Implemented pre-commit hook to run checks before commits.
- Set up PostgreSQL Dockerfile with PostGIS support and initialization scripts.
- Added database creation script for PostgreSQL with necessary extensions.
- Established Python project configuration with dependencies and development tools.
- Developed pre-commit script to enforce code quality checks for backend and frontend.
- Created PowerShell script to set up Git hooks path.

backend/app/api/auth.py

@@ -0,0 +1,41 @@
+from __future__ import annotations
+
+from fastapi import APIRouter, Depends, HTTPException, status
+
+from backend.app.api.deps import get_current_user
+from backend.app.models import AuthResponse, LoginRequest, RegisterRequest, UserPublic
+from backend.app.services.auth import (
+    authenticate_user,
+    issue_token_for_user,
+    register_user,
+)
+
+router = APIRouter(prefix="/auth", tags=["auth"])
+
+
+@router.post("/login", response_model=AuthResponse)
+async def login(credentials: LoginRequest) -> AuthResponse:
+    user = authenticate_user(credentials.username, credentials.password)
+    if not user:
+        raise HTTPException(
+            status_code=status.HTTP_401_UNAUTHORIZED,
+            detail="Incorrect username or password",
+            headers={"WWW-Authenticate": "Bearer"},
+        )
+    return issue_token_for_user(user)
+
+
+@router.post("/register", response_model=AuthResponse, status_code=status.HTTP_201_CREATED)
+async def register(payload: RegisterRequest) -> AuthResponse:
+    try:
+        user = register_user(payload.username, payload.password, payload.full_name)
+    except ValueError as exc:
+        message = str(exc)
+        status_code = status.HTTP_409_CONFLICT if "exists" in message else status.HTTP_400_BAD_REQUEST
+        raise HTTPException(status_code=status_code, detail=message) from exc
+    return issue_token_for_user(user)
+
+
+@router.get("/me", response_model=UserPublic)
+async def read_current_user(current_user: UserPublic = Depends(get_current_user)) -> UserPublic:
+    return current_user