FunctionalObjects. h: Using Symbolic Syntax in C++ Programs
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FunctionalObjects. h: Using Symbolic Syntax in C++ Programs
This is not as ambitious as a symbolic manipulation program such as Mathematica; it is more like having the ability to drop a very simple Mathematica statement ...
functionalObjects.h: Using Symbolic Syntax in C++ Programs R. Nolty
arXiv:hep-ex/0012015v1 6 Dec 2000
California Institute of Technology, Pasadena, California 91125 Abstract. functionalObjects.h allows the C++ programmer performing common mathematical calculations to use a more symbolic syntax rather than an algorithmic syntax. This is not as ambitious as a symbolic manipulation program such as Mathematica; it is more like having the ability to drop a very simple Mathematica statement into a C++ program.
INTRODUCTION functionalObjectGlobals theGlobals; A physicist is often faced with the task of writing a program to perform a relatively straightforward mathematical manipulation. For example, she may need to multiply a couple of multivariate functions together and integrate over one variable to obtain a new multivariate function. Using FORTRAN or C or a procedural approach with C++, the resulting code may be several hundred lines long and include calls to CERNlib routines with nonobvious names and calling sequences. Similarly, a physicist may be reading a piece of procedural code written by someone else, and only after several hours of study be able to verify that the code is indeed performing a simple mathematical function. Computer Algebra Systems (CAS) such as Mathematica or Maple avoid these problems; they allow the physicist to express the mathematical function to be evaluated rather than the algorithm for evaluating it. However, most of us have most of our analysis paraphernalia and infrastructure in programming languages. Results that are easily obtained in a CAS are often not useful in solving an analysis problem. This paper documents an initial attempt to use the facilities of C++ to allow a programmer to express mathematical operations more directly in the programming language itself.
WHAT DOES IT LOOK LIKE? A program to calculate a double definite integral, Z 1
dy
0
Z y 0
main() { char* x = "x"; char* y = "y"; theGlobals.registerArgument(x); theGlobals.registerArgument(y); cout
