Synthesis programs:

Pure Data
graph-based sound language public domain

MaxMSP
graph-based sound language, commercial product

SuperCollider
client-server based sound synthesis language

CSound
well-known synthesis language

The Synthesis ToolKit in C++ (STK)
physical modeling toolkit

athenaCL
modular poly-paradigm algorithmic music composition in a cross-platform interactive command-line environment.

Sound Processing Kit

CREATE Signal Library

SonicFlow

Sig++: Musical Signal Processing in C++