Cumulative standard deviation: Difference between revisions

Added solution for Action!
(Added solution for Action!)
Line 165:
N=7 ITEM=7 AVG=4.428 STDDEV=1.399
N=8 ITEM=9 AVG=5.000 STDDEV=2.000</pre>
 
=={{header|Action!}}==
{{libheader|Action! Tool Kit}}
<lang Action!>INCLUDE "D2:REAL.ACT" ;from the Action! Tool Kit
 
REAL sum,sum2
INT count
 
BYTE FUNC Equal(REAL POINTER a,b)
BYTE ARRAY x,y
 
x=a y=b
IF x(0)=y(0) AND x(1)=y(1) AND x(2)=y(2) THEN
RETURN (1)
FI
RETURN (0)
 
PROC Sqrt(REAL POINTER a,b)
REAL z,half
 
IntToReal(0,z)
ValR("0.5",half)
IF Equal(a,z) THEN
RealAssign(z,b)
ELSE
Power(a,half,b)
FI
RETURN
 
PROC Calc(REAL POINTER x,sd)
REAL tmp1,tmp2,tmp3
 
RealAdd(sum,x,tmp1) ;tmp1=sum+x
RealAssign(tmp1,sum) ;sum=sum+x
RealMult(x,x,tmp1) ;tmp1=x*x
RealAdd(sum2,tmp1,tmp2) ;tmp2=sum2+x*x
RealAssign(tmp2,sum2) ;sum2=sum2+x*x
count==+1
IF count=0 THEN
IntToReal(0,sd) ;sd=0
ELSE
IntToReal(count,tmp1)
RealMult(sum,sum,tmp2) ;tmp2=sum*sum
RealDiv(tmp2,tmp1,tmp3) ;tmp3=sum*sum/count
RealDiv(tmp3,tmp1,tmp2) ;tmp2=sum*sum/count/count
RealDiv(sum2,tmp1,tmp3) ;tmp3=sum2/count
RealSub(tmp3,tmp2,tmp1) ;tmp1=sum2/count-sum*sum/count/count
Sqrt(tmp1,sd) ;sd=sqrt(sum2/count-sum*sum/count/count)
FI
RETURN
 
PROC Main()
INT ARRAY values=[2 4 4 4 5 5 7 9]
INT i
REAL x,sd
 
Put(125) PutE() ;clear screen
IntToReal(0,sum)
IntToReal(0,sum2)
count=0
FOR i=0 TO 7
DO
IntToReal(values(i),x)
Calc(x,sd)
Print("x=") PrintR(x)
Print(" sum=") PrintR(sum)
Print(" sd=") PrintRE(sd)
OD
RETURN</lang>
{{out}}
[https://gitlab.com/amarok8bit/action-rosetta-code/-/raw/master/images/Cumulative_standard_deviation.png Screenshot from Atari 8-bit computer]
<pre>
x=2 sum=2 sd=0
x=4 sum=6 sd=1
x=4 sum=10 sd=.942809052
x=4 sum=14 sd=.86602541
x=5 sum=19 sd=.979795903
x=5 sum=24 sd=1
x=7 sum=31 sd=1.39970843
x=9 sum=40 sd=1.99999999
</pre>
 
=={{header|Ada}}==
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