IIS7.5 redirecting non www to www also with https - redirect

Question

I am trying to configure my IIS to redirect all none www calls to www calls including https
That first part is quite easy, but i have not found a solution that will also work when you have https enabled on your bindings.
So I would like both
http://domain.com/
and
https://domain.com/
and
http://www.domain.com/
to all be redirected to :
https://www.domain.com/
any suggestions?

Answer 1

#Josh: Your answer works for the first request.
It will end up with "https://www", perfect.
But if i then remove "www." from the address, it will fail like the image below.

Answer 2

<rewrite>
<rules>
<rule name="Non www HTTP to HTTPS" patternSyntax="ECMAScript" stopProcessing="true">
<match url="(.*)" />
<conditions>
<add input="{HTTPS}" pattern="off" />
<add input="{HTTP_HOST}" pattern="^www" negate="true" />
</conditions>
<action type="Redirect" url="https://www.{HTTP_HOST}{REQUEST_URI}" />
</rule>
<rule name="Non www HTTPS to www HTTPS" patternSyntax="ECMAScript" stopProcessing="true">
<match url="(.*)" />
<conditions>
<add input="{HTTPS}" pattern="On" />
<add input="{HTTP_HOST}" pattern="^www" negate="true" />
</conditions>
<action type="Redirect" url="https://www.{HTTP_HOST}{REQUEST_URI}" />
</rule>
<rule name="HTTP to HTTPS" stopProcessing="true">
<match url="(.*)" />
<conditions>
<add input="{HTTPS}" pattern="off" />
<add input="{HTTP_HOST}" pattern="www*" />
</conditions>
<action type="Redirect" url="https://{HTTP_HOST}{REQUEST_URI}" />
</rule>
</rules>
</rewrite>

Answer 3

This ended up working for me:
<rewrite>
<rules>
<rule name="HTTP to HTTPS redirect" stopProcessing="true">
<match url="(.*)" />
<conditions>
<add input="{HTTPS}" pattern="off" ignoreCase="true" />
</conditions>
<action type="Redirect" redirectType="Found" url="https://{HTTP_HOST}/{R:1}" />
</rule>
</rules>
</rewrite>