====== ExpandAll ======
----
====Description====
* ''ExpandAll'' expands out all products and integer powers in any parts of expressions.
* ''ExpandAll[transformations]'' expands out products and positive integer powers in any parts of expressions and applies ''transformations'' at each level of expand procedure.
====Examples====
Expand polynomials anywhere inside an expression:
println ExpandAll >> '1/(1 + x)**3 + Sin[(1 + x)**3]'.t
> 1/(x**3 + 3*x**2+3*x+1) + Sin[x**3 + 3*x**2+3*x+1]
println Expand >> '1/(1 + x)**3 + Sin[(1 + x)**3]'.t
> 1/(1 + x)**3 + Sin[(1 + x)**3]'
====Details====
''ExpanAll[transformations]'' will additionally apply transformations during expand procedure (same as ''Expand''):
def t = ''' 1/((g_mn + t_mn)*(g^mn + t^mn)) +
+ Sin[((g_mn + t_mn)*(g^mn + t^mn))]'''.t
//expand all and eliminate metrics in 4 dimensions
println ExpandAll[EliminateMetrics & 'd^i_i = 4'.t] >> t
> 1/(t^{mn}*t_{mn}+4+2*t_{n}^{n}) + Sin[t^{mn}*t_{mn}+4+2*t_{n}^{n}]
For examples see also [[documentation:ref:expand#Details|Expand]].
====See also====
* Related guides: [[documentation:guide:applying_and_manipulating_transformations]], [[documentation:guide:list_of_transformations]]
* Related transformations: [[documentation:ref:expand]], [[documentation:ref:expandnumerator]], [[documentation:ref:expanddenominator]]
* JavaDocs: [[http://api.redberry.cc/redberry/1.1.9/java-api/cc/redberry/core/transformations/expand/ExpandAllTransformation.html|ExpandAllTransformation]]
* Source code: [[https://bitbucket.org/redberry/redberry/src/tip/core/src/main/java/cc/redberry/core/transformations/expand/ExpandAllTransformation.java|ExpandAllTransformation.java]]