X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Ftensor.h;h=147ab44d9bf7f414d766c598d0f81ba95c5fed83;hp=ac991d5f666f5e47d621e1829bdf5f3bd4b2c048;hb=05c47b615d0d309d4868c688cd26f68376fa4277;hpb=aef64ef1f63f7b4cb9236c5c189873e48c6c999b diff --git a/ginac/tensor.h b/ginac/tensor.h index ac991d5f..147ab44d 100644 --- a/ginac/tensor.h +++ b/ginac/tensor.h @@ -40,8 +40,6 @@ protected: tensor(unsigned ti); // functions overriding virtual functions from bases classes -public: - ex subs(const lst & ls, const lst & lr) const; protected: unsigned return_type(void) const { return return_types::noncommutative_composite; } }; @@ -55,7 +53,7 @@ class tensdelta : public tensor // functions overriding virtual functions from bases classes public: - void print(std::ostream & os, unsigned upper_precedence=0) const; + void print(const print_context & c, unsigned level = 0) const; ex eval_indexed(const basic & i) const; bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const; }; @@ -70,7 +68,7 @@ class tensmetric : public tensor // functions overriding virtual functions from bases classes public: - void print(std::ostream & os, unsigned upper_precedence=0) const; + void print(const print_context & c, unsigned level = 0) const; ex eval_indexed(const basic & i) const; bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const; }; @@ -90,7 +88,7 @@ public: // functions overriding virtual functions from bases classes public: - void print(std::ostream & os, unsigned upper_precedence=0) const; + void print(const print_context & c, unsigned level = 0) const; ex eval_indexed(const basic & i) const; // member variables @@ -99,6 +97,22 @@ private: }; +/** This class represents an antisymmetric spinor metric tensor which + * can be used to raise/lower indices of 2-component Weyl spinors. If + * indexed, it must have exactly two indices of the same type which + * must be of class spinidx or a subclass and have dimension 2. */ +class spinmetric : public tensmetric +{ + GINAC_DECLARE_REGISTERED_CLASS(spinmetric, tensmetric) + + // functions overriding virtual functions from bases classes +public: + void print(const print_context & c, unsigned level = 0) const; + ex eval_indexed(const basic & i) const; + bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const; +}; + + /** This class represents the totally antisymmetric epsilon tensor. If * indexed, all indices must be of the same type and their number must * be equal to the dimension of the index space. */ @@ -112,7 +126,7 @@ public: // functions overriding virtual functions from bases classes public: - void print(std::ostream & os, unsigned upper_precedence=0) const; + void print(const print_context & c, unsigned level = 0) const; ex eval_indexed(const basic & i) const; // member variables @@ -123,6 +137,9 @@ private: // utility functions + +/** Return the tensor object handled by an ex. Deprecated: use ex_to(). + * This is unsafe: you need to check the type first. */ inline const tensor &ex_to_tensor(const ex &e) { return static_cast(*e.bp); @@ -157,6 +174,16 @@ ex metric_tensor(const ex & i1, const ex & i2); * @return newly constructed Lorentz metric tensor */ ex lorentz_g(const ex & i1, const ex & i2, bool pos_sig = false); +/** Create a spinor metric tensor with specified indices. The indices must be + * of class spinidx or a subclass and have a dimension of 2. The spinor + * metric is an antisymmetric tensor with a matrix representation of + * [[ [[ 0, 1 ]], [[ -1, 0 ]] ]]. + * + * @param i1 First index + * @param i2 Second index + * @return newly constructed spinor metric tensor */ +ex spinor_metric(const ex & i1, const ex & i2); + /** Create an epsilon tensor in a Euclidean space with two indices. The * indices must be of class idx or a subclass, and have a dimension of 2. * @@ -185,6 +212,18 @@ ex epsilon_tensor(const ex & i1, const ex & i2, const ex & i3); * @return newly constructed epsilon tensor */ ex lorentz_eps(const ex & i1, const ex & i2, const ex & i3, const ex & i4, bool pos_sig = false); +/** Create an epsilon tensor in a 4-dimensional projection of a D-dimensional + * Minkowski space. It vanishes whenever one of the indices is not in the + * set {0, 1, 2, 3}. + * + * @param i1 First index + * @param i2 Second index + * @param i3 Third index + * @param i4 Fourth index + * @param pos_sig Whether the signature of the metric is positive + * @return newly constructed epsilon tensor */ +ex eps0123(const ex & i1, const ex & i2, const ex & i3, const ex & i4, bool pos_sig = false); + } // namespace GiNaC #endif // ndef __GINAC_TENSOR_H__