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toolchain
Toolchain and libraries for C/C++ programming on the TI-84+ CE calculator series (by CE-Programming)
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InfluxDB
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if you're talking about the CE series of calculators, then people have been, and still are, creating lots of programs using the community toolchain, and despite the fact that the architecture is eZ80, a clang-based compiler has been developed (llvm backend) and so C and C++ is available.
if you're talking about the TI-Nspire series, then yes through the toolchain/SDK of Ndless, the unofficial/fought-by-TI "jailbreak" (see here). It's a typical arm toolchain, so C/C++/ASM is supported (and more with enough work), and lots of things have been created and ported along the years.