Improve __repr__ and __str__ methods of WordMorphism #13677
Description
The __repr__ method is not fun:
sage: WordMorphism('a->ab,b->ba')
Morphism from Words over Ordered Alphabet ['a', 'b'] to Words over Ordered Alphabet ['a', 'b']
sage: WordMorphism({0:[0,1],1:[1,0]})
Morphism from Words over Ordered Alphabet [0, 1] to Words over Ordered Alphabet [0, 1]
One always have to use the print statement (which calls __str__) ::
sage: print WordMorphism('a->ab,b->ba')
WordMorphism: a->ab, b->ba
sage: print WordMorphism({0:[0,1],1:[1,0]})
WordMorphism: 0->01, 1->10
Also, this is ugly:
sage: sigma = WordMorphism({1:[1,2], 2:[1,3], 3:[1]})
sage: E = E1Star(sigma)
sage: E
E_1^*(WordMorphism: 1->12, 2->13, 3->1)
The proposed solution is to change the code of __repr__ so that it behaves like the actual __str__ and change the __str__ to remove the WordMorphism: part. See examples below :
The new __repr__ method :
sage: WordMorphism('a->ab,b->ba')
WordMorphism: a->ab, b->ba
sage: WordMorphism({0:[0,1],1:[1,0]})
WordMorphism: 0->01, 1->10
The new __str__ method :
sage: print WordMorphism('a->ab,b->ba')
a->ab, b->ba
sage: sigma = WordMorphism({1:[1,2], 2:[1,3], 3:[1]})
sage: E = E1Star(sigma)
sage: E
E_1^*(1->12, 2->13, 3->1)
CC: @sagetrac-tjolivet @videlec
Component: combinatorics
Keywords: wordmorphism
Author: Sébastien Labbé
Reviewer: Timo Jolivet
Merged: sage-5.5.rc0
Issue created by migration from https://trac.sagemath.org/ticket/13677