I learned that basically the only difference between a "single supply" OP amp and a dual supply one is that the former can drive much closer to the negative supply rail.
Furthermore if I understand correctly, if you enable a "single supply" OP amp to drive closer to the positive supply rail too, then it becomes a rail-to-rail OP amp.
Then my question, which I believe is something not unnatural to come up with at this point, is that there can be "negative single supply" OP amps which drives close to the positive supply rail but not negative.
Has there been any such product, at present or in the past?
Or is it meaningless to develop such a product (e.g. it costs more than an rail-to-rail device so it makes no sense.)?
It may be a stupid question but I will be glad if you could share me your knowledge.
Thank you in advance.
EDIT: I am sorry that I must have clarified that I am not asking about how to handle negative input with generic OP amps but about some existence (or possible application) of a weird device easily imagined to be validly designed.
I wanted to know whether there is (or has been) an "inverted" version of the so-called single-supply OP amps which has the capability to operate around the positive supply rail but not around negative in terms of the output voltage, so that it can be typically used with negative supply (thus I called them "negative single-supply OP amps").
Such device would be advantageous over rail-to-rail OP amps if it could be sold cheaper and the users are sure that they are never operating near the negative supply.
This is analogous to "positive single-supply OP amps" which are preferred because of lower cost when the users are sure they are never operating near the positive supply rail.
I understand there is very little demand for such a product because the range of application is limited, but I kept wondering because I have seen far weirder devices.
I apologize for the lack of explanation in the original post.
Best Answer
The term 'single supply op-amp' is rather outdated now.
In the bad old days, op-amps had both an input range (common mode voltage, or VCM) and an output range that stopped a volt or three short of both rails. As many applications required operation around ground, they had to have both positive and negative rails.
Now, there are many amplifiers built with an input range that includes both rails, and whose output range goes very close to the rails, at least at low current. These are full rail-to-rail, or R2R amplifiers. If you want to use them directly with signals around ground, you still need a positive and a negative rail.
For AC application like audio, you can AC couple, so the circuit inputs and outputs can be around ground, but the amplifier works correctly within its rails, whatever they are.
For DC applications, while level shifting is still a possibility, it's far more convenient when operating with positive voltages close to ground, to use an amplifier whose VCM includes the negative supply, and which can drive close to the negative supply. Then, the negative supply can be connected to ground.
Amplifiers like the popular LM324 have a VCM and an output that includes the negative rail, so can be used in this way. When people design such circuits to interface with logic, or car electrics, they tend to think in the few positive volts above ground, and not worry too much that they can't get a full positive output, or that the VCM stops 2v short of the positive rail.
This is the 'single supply op-amp'. Connect the negative rail to ground. Use it near ground, as long as the signal is still strictly positive. Don't go negative. Don't use it near the positive rail, but you didn't want to do that anyway!
Summary
To operate either side of ground, use positive and negative supplies.
To operate close to ground but never below, use an amplifier whose VCM and output includes the negative rail, which you ground.
To operate close to both rails, use a full R2R amplifier, whether the negative rail is grounded, or sent to a more negative supply.