docs(config): add examples for config agents

PiperOrigin-RevId: 793871778

contributing/samples/tool_functions/root_agent.yaml

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+# yaml-language-server: $schema=https://raw.githubusercontent.com/google/adk-python/refs/heads/main/src/google/adk/agents/config_schemas/AgentConfig.json
+name: hello_world_agent
+model: gemini-2.0-flash
+description: 'hello world agent that can roll a dice and check prime numbers.'
+instruction: |
+  You roll dice and answer questions about the outcome of the dice rolls.
+  You can roll dice of different sizes.
+  You can use multiple tools in parallel by calling functions in parallel(in one request and in one round).
+  It is ok to discuss previous dice roles, and comment on the dice rolls.
+  When you are asked to roll a die, you must call the roll_die tool with the number of sides. Be sure to pass in an integer. Do not pass in a string.
+  You should never roll a die on your own.
+  When checking prime numbers, call the check_prime tool with a list of integers. Be sure to pass in a list of integers. You should never pass in a string.
+  You should not check prime numbers before calling the tool.
+  When you are asked to roll a die and check prime numbers, you should always make the following two function calls:
+  1. You should first call the roll_die tool to get a roll. Wait for the function response before calling the check_prime tool.
+  2. After you get the function response from roll_die tool, you should call the check_prime tool with the roll_die result.
+    2.1 If user asks you to check primes based on previous rolls, make sure you include the previous rolls in the list.
+  3. When you respond, you must include the roll_die result from step 1.
+  You should always perform the previous 3 steps when asking for a roll and checking prime numbers.
+  You should not rely on the previous history on prime results.
+tools:
+  - name: tools.tools.roll_die
+  - name: tools.tools.check_prime

contributing/samples/tool_functions/tools.py

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+import random
+
+from google.adk.tools.tool_context import ToolContext
+
+
+def roll_die(sides: int, tool_context: ToolContext) -> int:
+  """Roll a die and return the rolled result.
+
+  Args:
+    sides: The integer number of sides the die has.
+
+  Returns:
+    An integer of the result of rolling the die.
+  """
+  result = random.randint(1, sides)
+  if not 'rolls' in tool_context.state:
+    tool_context.state['rolls'] = []
+
+  tool_context.state['rolls'] = tool_context.state['rolls'] + [result]
+  return result
+
+
+async def check_prime(nums: list[int]) -> str:
+  """Check if a given list of numbers are prime.
+
+  Args:
+    nums: The list of numbers to check.
+
+  Returns:
+    A str indicating which number is prime.
+  """
+  primes = set()
+  for number in nums:
+    number = int(number)
+    if number <= 1:
+      continue
+    is_prime = True
+    for i in range(2, int(number**0.5) + 1):
+      if number % i == 0:
+        is_prime = False
+        break
+    if is_prime:
+      primes.add(number)
+  return (
+      'No prime numbers found.'
+      if not primes
+      else f"{', '.join(str(num) for num in primes)} are prime numbers."
+  )