/** Create a Clifford unit object.
*
* @param mu Index (must be of class varidx or a derived class)
- * @param metr Metric (should be of class tensmetric or a derived class, or a symmetric matrix)
+ * @param metr Metric (should be of class tensmetric or a derived class, or a matrix)
* @param rl Representation label
* @return newly constructed Clifford unit object */
ex clifford_unit(const ex & mu, const ex & metr, unsigned char rl = 0);
/** Reversion of the Clifford algebra, coincides with the conjugate(). */
inline ex clifford_star(const ex & e) { return e.conjugate(); }
-/** Replaces all dirac_ONE's in e with 1 (effectively removing them). */
-ex remove_dirac_ONE(const ex & e);
+/** Replaces dirac_ONE's (with a representation_label no less than rl) in e with 1.
+ * For the default value rl = 0 remove all of them. Aborts if e contains any
+ * clifford_unit with representation_label to be removed.
+ *
+ * @param e Expression to be processed
+ * @param rl Value of representation label */
+ex remove_dirac_ONE(const ex & e, unsigned char rl = 0);
/** Calculation of the norm in the Clifford algebra. */
ex clifford_norm(const ex & e);
*
* @param v List or vector of coordinates
* @param mu Index (must be of class varidx or a derived class)
- * @param metr Metric (should be of class tensmetric or a derived class, or a symmetric matrix)
+ * @param metr Metric (should be of class tensmetric or a derived class, or a matrix)
* @param rl Representation label
+ * @param e Clifford unit object
* @return Clifford vector with given components */
ex lst_to_clifford(const ex & v, const ex & mu, const ex & metr, unsigned char rl = 0);
+ex lst_to_clifford(const ex & v, const ex & e);
/** An inverse function to lst_to_clifford(). For given Clifford vector extracts
* its components with respect to given Clifford unit. Obtained components may
*
* @param e Clifford expression to be decomposed into components
* @param c Clifford unit defining the metric for splitting (should have numeric dimension of indices)
- * @param algebraic Use algebraic or symbolic algorithm for extractions */
+ * @param algebraic Use algebraic or symbolic algorithm for extractions
+ * @return List of components of a Clifford vector*/
lst clifford_to_lst(const ex & e, const ex & c, bool algebraic=true);
/** Calculations of Moebius transformations (conformal map) defined by a 2x2 Clifford matrix
* @param c (2,1) entry of the defining matrix
* @param d (2,2) entry of the defining matrix
* @param v Vector to be transformed
- * @param G Metric of the surrounding space
- * @param rl Representation label */
+ * @param G Metric of the surrounding space, may be a Clifford unit then the next parameter is ignored
+ * @param rl Representation label
+ * @return List of components of the transformed vector*/
ex clifford_moebius_map(const ex & a, const ex & b, const ex & c, const ex & d, const ex & v, const ex & G, unsigned char rl = 0);
/** The second form of Moebius transformations defined by a 2x2 Clifford matrix M
*
* @param M the defining matrix
* @param v Vector to be transformed
- * @param G Metric of the surrounding space
- * @param rl Representation label */
+ * @param G Metric of the surrounding space, may be a Clifford unit then the next parameter is ignored
+ * @param rl Representation label
+ * @return List of components of the transformed vector*/
ex clifford_moebius_map(const ex & M, const ex & v, const ex & G, unsigned char rl = 0);
} // namespace GiNaC