erfInvInverse error function: u = erf(erfInv(u)) |
This information is part of the Modelica Standard Library maintained by the Modelica Association.
Special.erfInv(u);
This function computes the inverse of the error function erf(u) = 2/sqrt(pi)*Integral_0_u exp(-t^2)*dt numerically with a relative precision of about 1e-15. Therefore, u = erf(erfInv(u)). Input argument u must be in the range (otherwise an assertion is raised):
-1 ≤ u ≤ 1
If u = 1, the function returns Modelica.Constants.inf.
If u = -1, the function returns -Modelica.Constants.inf
The implementation utilizes the formulation of the Boost library (erf_inv.hpp,
developed by John Maddock).
Plot of the function:
For more details, see Wikipedia.
erfInv(0) // = 0 erfInv(0.5) // = 0.4769362762044699 erfInv(0.999999) // = 3.458910737275499 erfInv(0.9999999999) // = 4.572824958544925
u |
Type: Real Description: Input argument in the range -1 <= u <= 1 |
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y |
Type: Real Description: = inverse of error function |
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