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objects-in-python.md

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Objects in Python

Python Class: expr

A Python wrapper class for the inner GiNaC::ex object _expr.

  • expr(i) contructor from an integer i.
  • expr(s) constructor from a string s.
  • nops() return the _expr.nops().
  • op(i) return the _expr.op(i).
  • let_op(i,e) update the inner ith item by _expr.let_op(i)=e.
  • expand() return _expr.expand().
  • normal() return _expr.normal().
  • factor() return _expr.factor().
  • series(s,o) return mma_series(_expr,s,o).
  • subs(e) return _expr.subs(e).
  • isSymbol() check the _expr is a Symbol.
  • isVector() check the _expr is a Vector.
  • isIndex() check the _expr is a Index.
  • isPair() check the _expr is a Pair.
  • isDGamma check the _expr is a DGamma.
  • map(map_func) return the _expr.map(map_func), map_func is an object derived from MapFunction class.

Python Functions

  • expand(e) is equivalent to e.expand().
  • normal(e) is equivalent to e.normal().
  • factor(e) is equivalent to e.factor().
  • series(e,s,n) is equivalent to e.series(s,n).
  • subs(e,es) is equivalent to e.subs(es).
  • pow(e,n) return the power $$e^{n}$$.
  • Symbol(s) return an expr object with _expr=HepLib::Symbol(s).
  • Index(s) return an expr object with _expr=HepLib::FC::Index(s).
  • Vector(s) return an expr object with _expr=HepLib::FC::Vector(s).
  • SP(e1,e2) return an expr object with _expr=HepLib::FC::SP(e1._expr,e2._expr).
  • GAS(e) return an expr object with _expr=HepLib::FC::GAS(e._expr).
  • TR(e) return an expr object with _expr=HepLib::FC::TR(e._expr).
  • form(e) return an expr object with _expr=HepLib::FC::form(e._expr).

Python call any HepLib function

  • call(func_str,e) return an expr object with _expr=func(e._expr).
  • call(func_str,[e1,e2,...]) return an expr object with _expr=func(e1,e2,...).

Python Class: Integral

  • epN the requested $$\epsilon$$ order.
  • epsN the requested $$\epsilon^\prime$$ order.
  • verb the inner Verbose.
  • Functions([e1,e2,...]) to assign the internal Functions or Propagators.
  • Exponents([e1,e2,...]) to assign the internal Exponents.
  • Evaluate() to evaluate the integral by Sector Decomposition, the Integral object itself holds the nummerical result.