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* Add error functions erf/erfc, bug ID #29740
git-svn-id: trunk@33128 -
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@ -375,6 +375,10 @@ function floor64(x: float): Int64;
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procedure Frexp(X: float; var Mantissa: float; var Exponent: integer);
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{ returns x*(2^p) }
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function ldexp(x : float; const p : Integer) : float;
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{ Error function }
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function erf(const x: float): float;
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{ Complementary error function }
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function erfc(const x: float): float;
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{ statistical functions }
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@ -1089,6 +1093,47 @@ function ldexp(x : float;const p : Integer) : float;
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begin
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ldexp:=x*intpower(2.0,p);
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end;
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function erfc(const x: float): float;
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var
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t, z, approx: float;
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begin
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z:= abs(x);
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t:= 1 / (1 + 0.5*z);
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approx:= t * exp(-z * z - 1.26551223 + t*(1.00002368 + t*(0.37409196 + t*(0.09678418 +
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t*(-0.18628806 + t*(0.27886807 + t*(-1.13520398 + t*(1.48851587 +
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t*(-0.82215223 + t*0.17087277)))))))));
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if x >= 0 then begin
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Result:= approx;
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end
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else
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begin
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Result:= 2 - approx;
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end;
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end;
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//------------------------------------------------------------------------------
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function erf(const x: float): float;
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var
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t, z, approx: float;
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begin
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z:= abs(x);
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t:= 1 / (1 + 0.5*z);
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approx:= t * exp(-z * z - 1.26551223 + t*(1.00002368 + t*(0.37409196 + t*(0.09678418 +
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t*(-0.18628806 + t*(0.27886807 + t*(-1.13520398 + t*(1.48851587 +
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t*(-0.82215223 + t*0.17087277)))))))));
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if x >= 0 then begin
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Result:= 1 - approx;
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end
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else
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begin
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Result:= approx - 1;
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end;
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end;
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{$ifdef FPC_HAS_TYPE_SINGLE}
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function mean(const data : array of Single) : float;
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