Where can I find a stock market simulator?

I’m looking for a software/ web service that has the abilities to simulate the NY stock market in the past (not only opening and closing rates) for day trading simulation. It must also has an API or some kind of scripting language in order to issue automated requests during the sim.
*** The simulator must simulate the past (on a minute resolution), not the present although it can also do that.
*** The scripting/ API option is also a must.

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