  We equip dynamic geometry software (DGS) with a user-friendly method that
enables massively parallel calculations on the graphics processing unit (GPU).
This interplay of DGS and GPU opens up various applications in education and
mathematical research. The GPU-aided discovery of mathematical properties,
interactive visualizations of algebraic surfaces (raycasting), the mathematical
deformation of images and footage in real-time, and computationally demanding
numerical simulations of PDEs are examples from the long and versatile list of
new domains that our approach makes accessible within a DGS. We ease the
development of complex (mathematical) visualizations and provide a
rapid-prototyping scheme for general-purpose computations (GPGPU).
  The possibility to program both CPU and GPU with the use of only one
high-level (scripting) programming language is a crucial aspect of our concept.
We embed shader programming seamlessly within a high-level (scripting)
programming environment. The aforementioned requires the symbolic process of
the transcompilation of a high-level programming language into shader
programming language for GPU and, in this article, we address the challenge of
the automatic translation of a high-level programming language to a shader
language of the GPU. To maintain platform independence and the possibility to
use our technology on modern devices, we focus on a realization through WebGL.
