Systems, devices, and methods for generating multi-dimensional graphs using base function strings and color values

A apparatus comprising:

• one or more processors;
• and
• a non-transitory memory storing computer-executable instructions therein that, when executed by the processors, cause the apparatus to perform the operations of:
• receiving a plurality of base function strings, each of the base function strings associated with a color base and comprising a textual string input by a user including one or more supported functions;
• parsing the base function strings to generate a matrix of functions, the matrix of functions represented as at least one abstract syntax tree (AST) where the AST includes at least cryptographic functions including at least either a discrete logarithm function or a Diffie-Hellman function;
• calculating generators for the cryptographic functions prior to application of the cryptographic functions, the calculating generators including producing a list of every generator element of the group of integers under multiplication modulo p where p is a user-selected prime number for use in the cryptographic functions;
• calculating, for each coordinate in a set of coordinates, a color value for the coordinate using the matrix of functions;
• generating a graph based on the calculated color values associated with each coordinate;
• and
• displaying the generated graph.