**Overview**

In AWS it is possible to trigger step functions through an API Gateway integration, see https://docs.aws.amazon.com/step-functions/latest/dg/tutorial-api-gateway.html

Similar integrations already occur within localstack, however the step function URIs are notably missing. See lines 66-88 of https://github.com/localstack/localstack/blob/master/localstack/services/apigateway/apigateway_listener.py



┆Issue is synchronized with this [Jira Bug](https://localstack.atlassian.net/browse/LOC-107) by [Unito](https://www.unito.io/learn-more)

import re
import json
import time
import logging
import requests
import datetime
from flask import Response as FlaskResponse
from six.moves.urllib_parse import urljoin
from requests.models import Response
from localstack.utils import common
from localstack.config import TEST_KINESIS_URL, TEST_SQS_URL
from localstack.constants import APPLICATION_JSON, PATH_USER_REQUEST, TEST_AWS_ACCOUNT_ID
from localstack.utils.aws import aws_stack
from localstack.utils.common import to_str, to_bytes
from localstack.utils.analytics import event_publisher
from localstack.services.kinesis import kinesis_listener
from localstack.services.awslambda import lambda_api
from localstack.services.apigateway import helpers
from localstack.services.generic_proxy import ProxyListener
from localstack.utils.aws.aws_responses import flask_to_requests_response, requests_response, LambdaResponse
from localstack.services.apigateway.helpers import (get_resource_for_path, handle_authorizers,
    extract_query_string_params, extract_path_params, make_error_response, get_cors_response)
LOGGER = logging.getLogger(__name__)
PATH_REGEX_AUTHORIZERS = r'^/restapis/([A-Za-z0-9_\-]+)/authorizers(\?.*)?'
PATH_REGEX_RESPONSES = r'^/restapis/([A-Za-z0-9_\-]+)/gatewayresponses(/[A-Za-z0-9_\-]+)?(\?.*)?'
PATH_REGEX_USER_REQUEST = r'^/restapis/([A-Za-z0-9_\-]+)/([A-Za-z0-9_\-]+)/%s/(.*)$' % PATH_USER_REQUEST
GATEWAY_RESPONSES = {}
class AuthorizationError(Exception):