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20 reyssat 1
!if $wims_read_parm!=slib_header
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!goto proc
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!endif
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slib_title=Quadratic mean
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slib_parms=1\
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 ,[data] or [data],[weight]
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slib_author=Adeline Grelot and Bernadette PERRIN-RIOU
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slib_out=standard quadratic mean of data x_1,..,x_n = sum(x_i^2)/n
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slib_comment=Data and weight can be recognized under many formats, \
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 in particular as a matrix (with data before weight).
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slib_example=[2,-7,6]\
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[2,1;-7,1;6,4]\
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[2,-7,6],[1,1,4]\
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[2,-7,6;1,1,4]
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!exit
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:proc
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!readproc slib/stat/dataproc $wims_read_parm
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!if $slib_cnt=0
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slib_out=0
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!else
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!if $slib_weight =$empty
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slib_out=!sum x^2 for x in $slib_data
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slib_out=$[sqrt($slib_out/$slib_cnt)]
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!else
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slib_cnt=!itemcnt $slib_data
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slib_out=!exec pari print(sqrt(sum(x=1,$slib_cnt,[$slib_weight][x]*([$slib_data][x])^2)/$slib_tw))
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!endif weight
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!endif
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slib_out=!trim $slib_out