* Add error functions erf/erfc, bug ID #29740

git-svn-id: trunk@33128 -
This commit is contained in:
michael 2016-02-27 14:59:51 +00:00
parent 9de8ad93ba
commit 3da0f82995

View File

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