What is the C runtime library?

Yes, libcmt is (one of several) implementations of the C standard library provided with Microsoft's compiler. They provide both "debug" and "release" versions of three basic types of libraries: single-threaded (always statically linked), multi-threaded statically linked, and multi-threaded dynamically linked (though, depending on the compiler version you're using, some of those may not be present).

So, in the name "libcmt", "libc" is the (more or less) traditional name for the C library. The "mt" means "multi-threaded". A "debug" version would have a "d" added to the end, giving "libcmtd".

As far as what functions it includes, the C standard (part 7, if you happen to care) defines a set of functions a conforming (hosted) implementation must supply. Most vendors (including Microsoft) add various other functions themselves (for compatibility, to provide capabilities the standard functions don't address, etc.) In most cases, it will also contain quite a few "internal" functions that are used by the compiler but not normally by the end user.

The runtime library is basically a collection of the implementations of those functions in one big file (or a few big files--e.g., on UNIX the floating point functions are traditionally stored separately from the rest). That big file is typically something on the same general order as a zip file, but without any compression, so it's basically just some little files collected together and stored together into one bigger file. The archive will usually contain at least some indexing to make it relatively fast/easy to find and extract the data from the internal files. At least at times, Microsoft has used a library format with an "extended" index the linker can use to find which functions are implemented in which of the sub-files, so it can find and link in the parts it needs faster (but that's purely an optimization, not a requirement).

If you want to get a complete list of the functions in "libcmt" (to use your example) you could open one of the Visual Studio command prompts (under "Visual Studio Tools", normally), switch to the directory where your libraries were installed, and type something like: lib -list libcmt.lib and it'll generate a (long) list of the names of all the object files in that library. Those don't always correspond directly to the names of the functions, but will generally give an idea. If you want to look at a particular object file, you can use lib -extract to extract one of those object files, then use dumpbin /symbols <object file name> to find what function(s) is/are in that particular object file.

At first, we should understand what a Runtime Library is; and think what it could mean by "Microsoft C Runtime Library".

see: http://en.wikipedia.org/wiki/Runtime_library

I have posted most of the article here because it might get updated.

When the source code of a computer program is translated into the respective target language by a compiler, it would cause an extreme enlargement of program code if each command in the program and every call to a built-in function would cause the in-place generation of the complete respective program code in the target language every time. Instead the compiler often uses compiler-specific auxiliary functions in the runtime library that are mostly not accessible to application programmers. Depending on the compiler manufacturer, the runtime library will sometimes also contain the standard library of the respective compiler or be contained in it.

Also some functions that can be performed only (or are more efficient or accurate) at runtime are implemented in the runtime library, e.g. some logic errors, array bounds checking, dynamic type checking, exception handling and possibly debugging functionality. For this reason, some programming bugs are not discovered until the program is tested in a "live" environment with real data, despite sophisticated compile-time checking and pre-release testing. In this case, the end user may encounter a runtime error message.

Usually the runtime library realizes many functions by accessing the operating system. Many programming languages have built-in functions that do not necessarily have to be realized in the compiler, but can be implemented in the runtime library. So the border between runtime library and standard library is up to the compiler manufacturer. Therefore a runtime library is always compiler-specific and platform-specific.

The concept of a runtime library should not be confused with an ordinary program library like that created by an application programmer or delivered by a third party or a dynamic library, meaning a program library linked at run time. For example, the programming language C requires only a minimal runtime library (commonly called crt0) but defines a large standard library (called C standard library) that each implementation has to deliver.