By Kenneth B Stolarsky
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Additional info for Algebraic numbers and Diophantine approximation
For this, both are first processed by the parser 31 Memory Management System which reads-in the commands given in the MuPAD language and transforms them into the internal representation of MuPAD objects. This representation is based on trees which are built up of nodes of the constructed C / C++ data type MTcell. 1 for details. To compute a MuPAD command means to evaluate such a tree recursively by visiting each node in preorder, substituting it with its derivation. The result of this process is a new tree which is transcribed into a user readable output and is displayed by the I/G system respectively the MuPAD front end.
Since module functions become a dynamic part of the MuPAD interpreter when loading the module, they must have a very special format. 2). Implementing modules is facilitated by the MuPAD Application Programming Interface (MAPI). It provides a set of definements, variables and routines for creating, manipulating and converting MuPAD objects and for accessing essential MuPAD kernel routines as well as built-in and library functions. Three levels of writing modules can be distinguished which require an increasing knowledge about the internal structure of the MuPAD system: 1.
Conversion between MuPAD Booleans and C/C++ Booleans can be done using the routines MFbool and MFboo13. Due to the fact that programmers mostly need a 2-state logic as usual in C/C++, MFbool converts the MuPAD value UNKNOWN into the C/C++ value false. If the user wishes to use a 3-state logic even on a C/C++ level, he/she explicitly has to use the routine MFboo13. 1 for additional type information. 4 Numbers MuPAD provides integer (DOM_INT) and floating-point (DOM_FLoAT) numbers, as well as rational (DOM_RAT) and complex (DOM_CoMPLEX) numbers for doing arbitrary precision arithmetic.
Algebraic numbers and Diophantine approximation by Kenneth B Stolarsky