http://www.bls.gov/oco/ocos267.htm
"Computer software engineers apply the principles of computer science and mathematical analysis to the design, development, testing, and evaluation of the software and systems that make computers work. The tasks performed by these workers evolve quickly, reflecting new areas of specialization or changes in technology, as well as the preferences and practices of employers.
Software engineers can be involved in the design and development of many types of software, including computer games, word processing and business applications, operating systems and network distribution, and compilers, which convert programs to machine language for execution on a computer.
Computer software engineers begin by analyzing users? needs, and then design, test, and develop software to meet those needs. During this process they create the detailed sets of instructions, called algorithms, that tell the computer what to do. They also may be responsible for converting these instructions into a computer language, a process called programming or coding, but this usually is the responsibility of computer programmers. (A separate section on computer programmers appears elsewhere in the Handbook.) Computer software engineers must be experts in operating systems and middleware to ensure that the underlying systems will work properly."
that sounds like a programmer to me. that's what i have done for years and i have always just called it coding.