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Task/Demings-funnel/XPL0/demings-funnel.xpl0
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Task/Demings-funnel/XPL0/demings-funnel.xpl0
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include xpllib; \for Print
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func real Mean(Array, Size);
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real Array; int Size;
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real Sum;
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int I;
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[Sum:= 0.0;
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for I:= 0 to Size-1 do
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Sum:= Sum + Array(I);
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return Sum / float(Size);
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];
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func real StdDev(Array, Size);
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real Array; int Size;
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real M, Sum;
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int I;
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[M:= Mean(Array, Size);
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Sum:= 0.0;
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for I:= 0 to Size-1 do
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Sum:= Sum + (Array(I)-M) * (Array(I)-M);
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return sqrt(Sum / float(Size));
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];
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func real Funnel(Array, Size, Rule);
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real Array; int Size, Rule;
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real Posn, Result, Fall;
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int AddrResult, I;
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def SizeOfReal = 8; \bytes
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[AddrResult:= addr Result;
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AddrResult(0):= MAlloc(Size*SizeOfReal);
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AddrResult(1):= 0; \for safety
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Posn:= 0.0;
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for I:= 0 to Size-1 do
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[Fall:= Array(I);
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Result(I):= Posn + Fall;
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case Rule of
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1: [];
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2: Posn:= -Fall;
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3: Posn:= -(Posn+Fall);
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4: Posn:= Posn+Fall
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other [];
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];
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return Result;
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];
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func Experiment(Rule);
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int Rule;
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real DXs, DYs, RXs, RYs;
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def Size = 100;
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[
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DXs:= [ -0.533, 0.270, 0.859, -0.043, -0.205, -0.127, -0.071, 0.275,
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1.251, -0.231, -0.401, 0.269, 0.491, 0.951, 1.150, 0.001,
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-0.382, 0.161, 0.915, 2.080, -2.337, 0.034, -0.126, 0.014,
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0.709, 0.129, -1.093, -0.483, -1.193, 0.020, -0.051, 0.047,
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-0.095, 0.695, 0.340, -0.182, 0.287, 0.213, -0.423, -0.021,
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-0.134, 1.798, 0.021, -1.099, -0.361, 1.636, -1.134, 1.315,
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0.201, 0.034, 0.097, -0.170, 0.054, -0.553, -0.024, -0.181,
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-0.700, -0.361, -0.789, 0.279, -0.174, -0.009, -0.323, -0.658,
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0.348, -0.528, 0.881, 0.021, -0.853, 0.157, 0.648, 1.774,
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-1.043, 0.051, 0.021, 0.247, -0.310, 0.171, 0.000, 0.106,
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0.024, -0.386, 0.962, 0.765, -0.125, -0.289, 0.521, 0.017,
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0.281, -0.749, -0.149, -2.436, -0.909, 0.394, -0.113, -0.598,
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0.443, -0.521, -0.799, 0.087 ];
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DYs:= [ 0.136, 0.717, 0.459, -0.225, 1.392, 0.385, 0.121, -0.395,
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0.490, -0.682, -0.065, 0.242, -0.288, 0.658, 0.459, 0.000,
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0.426, 0.205, -0.765, -2.188, -0.742, -0.010, 0.089, 0.208,
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0.585, 0.633, -0.444, -0.351, -1.087, 0.199, 0.701, 0.096,
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-0.025, -0.868, 1.051, 0.157, 0.216, 0.162, 0.249, -0.007,
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0.009, 0.508, -0.790, 0.723, 0.881, -0.508, 0.393, -0.226,
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0.710, 0.038, -0.217, 0.831, 0.480, 0.407, 0.447, -0.295,
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1.126, 0.380, 0.549, -0.445, -0.046, 0.428, -0.074, 0.217,
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-0.822, 0.491, 1.347, -0.141, 1.230, -0.044, 0.079, 0.219,
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0.698, 0.275, 0.056, 0.031, 0.421, 0.064, 0.721, 0.104,
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-0.729, 0.650, -1.103, 0.154, -1.720, 0.051, -0.385, 0.477,
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1.537, -0.901, 0.939, -0.411, 0.341, -0.411, 0.106, 0.224,
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-0.947, -1.424, -0.542, -1.032 ];
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RXs:= Funnel(DXs, Size, Rule);
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RYs:= Funnel(DYs, Size, Rule);
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Print("Rule %d : X Y\n", Rule);
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Print("Mean : %3.4f, %3.4f\n", Mean(RXs, Size), Mean(RYs, Size));
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Print("Std Dev : %3.4f, %3.4f\n", StdDev(RXs, Size), StdDev(RYs, Size));
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CrLf(0);
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];
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int R;
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for R:= 1 to 4 do Experiment(R)
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