I can't find a way to add the BASE URL to the django rest swagger. I tried adding 
SWAGGER_SETTINGS = {
    "base_path": 'localhost:62090/',
}
to settings.py. But its not working.
I can't find a way to add the BASE URL to the django rest swagger. I tried adding 
SWAGGER_SETTINGS = {
    "base_path": 'localhost:62090/',
}
to settings.py. But its not working.
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                Essentially you need to set basePath on the OpenAPI JSON response. To do this with django_rest_swagger:
renderers.py:
from __future__ import absolute_import, division, print_function, unicode_literals
from django.core.urlresolvers import reverse
from rest_framework_swagger import renderers
class OpenAPIRenderer(renderers.OpenAPIRenderer):
    def get_customizations(self):
        data = super(OpenAPIRenderer, self).get_customizations()
        data['basePath'] = reverse('api-root')  # your base url here
        return data
views.py:
from rest_framework import exceptions
from rest_framework.permissions import AllowAny
from rest_framework.renderers import CoreJSONRenderer
from rest_framework.response import Response
from rest_framework.schemas import SchemaGenerator
from rest_framework.views import APIView
from rest_framework_swagger import renderers
from .renderers import OpenAPIRenderer
class SwaggerSchemaView(APIView):
    _ignore_model_permissions = True
    exclude_from_schema = True
    permission_classes = [AllowAny]
    renderer_classes = [
        CoreJSONRenderer,
        OpenAPIRenderer,  # your OpenAPIRenderer here
        renderers.SwaggerUIRenderer
    ]
    def get(self, request):
        generator = SchemaGenerator(
            title=title,
            url=url,
            patterns=patterns,
            urlconf=urlconf
        )
        schema = generator.get_schema(request=request)
        if not schema:
            raise exceptions.ValidationError(
                'The schema generator did not return a schema Document'
            )
        return Response(schema)
urls.py:
from django.conf.urls import url
from . import views
urlpatterns = [
    url(r'^$', views.SwaggerSchemaView.as_view(), name='api-root'),  # your swagger view here
]
I couldn't find a way to display the base url in the swagger ui, but I could add the base url like this in
urls.pyThis code adds the base url between the host and the url u specified.