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!if $wims_read_parm!=slib_header
!goto proc
!endif
slib_title=Quadratic mean
slib_parms=1\
 ,[data] or [data],[weight]
slib_author=Adeline Grelot and Bernadette PERRIN-RIOU
slib_out=standard quadratic mean of data x_1,..,x_n = sum(x_i^2)/n
slib_comment=Data and weight can be recognized under many formats, \
 in particular as a matrix (with data before weight).
slib_example=[2,-7,6]\
[2,1;-7,1;6,4]\
[2,-7,6],[1,1,4]\
[2,-7,6;1,1,4]
!exit

:proc

!readproc slib/stat/dataproc $wims_read_parm
!if $slib_cnt=0
slib_out=0
!else
!if $slib_weight =$empty
slib_out=!sum x^2 for x in $slib_data
slib_out=$[sqrt($slib_out/$slib_cnt)]
!else
slib_cnt=!itemcnt $slib_data
slib_out=!exec pari print(sqrt(sum(x=1,$slib_cnt,[$slib_weight][x]*([$slib_data][x])^2)/$slib_tw))

!endif weight
!endif

slib_out=!trim $slib_out