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# Inverse Error Function Fortran

## Contents

An article on how it was implemented for Nvidia: http://people.maths.ox.ac.uk/gilesm/files/gems_erfinv.pdf Top William S. Your cache administrator is webmaster. Top Steve Lionel (Intel) Tue, 04/15/2014 - 17:43 You need to select the "Use Intel Math Kernel Library" option under Fortran > Libraries. The inverse means x = erfinv(y) satisfies y = erf(x). navigate here

X : -X; } share|improve this answer answered May 12 '11 at 8:21 dmuir 37413 Just to clarify, your NormalX is designed to calculate the same thing as errfinv What is the probability that they were born on different days? The TMath/DMath library did not have it :( delphi math pascal share|improve this question asked May 11 '11 at 23:46 Mike Furlender 1,52422053 do you mean inverse erf? –soandos What are the legal consequences for a tourist who runs out of gas on the Autobahn? https://software.intel.com/en-us/forums/intel-visual-fortran-compiler-for-windows/topic/509357

## Error Function In Fortran 90

Just like you could use the Newton_Raphson technique to get an ARC Tangent if you didn't already have one.   The C++ library routine it appears uses a set of polynomials, Tue, 04/15/2014 - 16:43 I suppose those who say calling MKL is too difficult aren't likely to use it, but C source code (with poor documentation) for erfinv (apparently just a Browse other questions tagged delphi math pascal or ask your own question.

Very approximately, where ε=AMACH(4) is the machine precision. I don't see any useful purpose in that, unless it has to do with optimization of the results. Therefore, I found another implementation based on rational function approximation. Inverse Error Function C++ Top billsincl Tue, 04/15/2014 - 15:20 That thing that mecej4 sent me doesn't work either.

It's not accurate to double precision though. Inverse Error Function Calculator I see that C++ has added erfinv, but Fortran doesn't tend to follow C++. Comp., 1969, PP. 631-638.: share|improve this answer edited May 12 '11 at 13:52 answered May 12 '11 at 1:41 Warren P 30.3k17113221 1 erf and its complement come with Free Not the answer you're looking for?

Compile the c with bcc32 and link with \$L that's how I always do it! –David Heffernan May 12 '11 at 0:10 This is a really nifty piece of Inverse Error Function Python Print the results CALL UMACH (2, NOUT) WRITE (NOUT,99999) X, VALUE 99999 FORMAT (' ERFI(', F6.3, ') = ', F6.3) END Output ERFI( 0.843) = 1.000 Visual I searched the J3 archives and don't see even a suggestion that it be included. J.

1. USE ERFI_INT USE ERF_INT USE UMACH_INT IMPLICIT NONE !
2. Any statistical application would have to have it...........   It uses the existing ERF in the Fortran library and a set of linear approximations to iterate on the answer.
3. Patrick Top Steve Lionel (Intel) Tue, 04/15/2014 - 13:40 What you've found is entries for erfinv in Intel MKL.
4. It's planned for JEDI Math library in the future, but it looks like it's not in there yet! –Warren P May 12 '11 at 1:49 | show 1 more comment 7
5. Why aren't there direct flights connecting Honolulu and London?
7. if y = erf(x), x = inverf(y); if y = erfc(x), x = inverfc(y), as is usual in mathematics .. Thanks mecej4.

## Inverse Error Function Calculator

Please try the request again. http://stackoverflow.com/questions/5971830/need-code-for-inverse-error-function rexx.com/~dkuhlman/scipy_course_01.html –Warren P May 12 '11 at 1:36 add a comment| up vote 1 down vote I've used this, which I believe is reasonably accurate and quick (usually 2 iterations of Error Function In Fortran 90 It's used all the time. Inverse Error Function Excel horizontal alignment of equations across multiple lines more hot questions question feed lang-pascal about us tour help blog chat data legal privacy policy work here advertising info mobile contact us feedback

Steve - Intel Developer Support Top FortranFan Tue, 04/15/2014 - 13:45 As explained by John Reid in his 2014 report, "The New Features of Fortran 2008", the following 3 new intrinsic http://shpsoftware.com/error-function/inverse-error-function-ti-89.php It is quicker and more precise than the previous implementation from the old correlator. The function ERFI(X) is defined for |x| < 1. The system returned: (22) Invalid argument The remote host or network may be down. Inverse Error Function Matlab

No Inverse Error function? That would be like having a SINE function but no ARCSINE, or a TAN function, but no ARC Tangent. What could make an area of land be accessible only at certain times of the year? his comment is here function erfinv(const y: Double): Double; //rational approx coefficients const a: array [0..3] of Double = ( 0.886226899, -1.645349621, 0.914624893, -0.140543331); b: array [0..3] of Double = (-2.118377725, 1.442710462, -0.329097515, 0.012229801); c:

It satisfies the equation (8) where is the inverse erfc function. Inverse Error Function Approximation Fortran code that many people use for a reference, is here, it cites "Rational Chebyshev approximations for the error function" by W. It is an odd function since (3) It has the special values (4) (5) (6) It is apparently not known if (7) (OEIS A069286) can be written in closed form.

## I did put in the INCLUDE statement they recommended.   so those statitistical functions, if they are in the MKL libary, are unusable.

Description Function ERFI(X) computes the inverse of the error function erf x, defined in ERF. maybe it and its coefficients can help you: http://w3eos.whoi.edu/12.747/mfiles/lect07/erfinv.m Another PDF here: http://people.maths.ox.ac.uk/~gilesm/files/gems_erfinv.pdf Relevant snippet: Table 1: Pseudo-code to compute y = erfinv(x) , with p1(t)..p6(t) representing a 1st through 6th The use of each key in Western music Plausibility of the Japanese Nekomimi Cartoon movie with archery tournament with "paintball" arrows, people dressed as animals Can I visit Montenegro without visa? Erfinv C++ http://infohost.nmt.edu/~armiller/pascal.htm Error function and its complement, are shown in this listing.

Iirc their code is based on Algol code from the (German) Handbuch der Automatik. –Marco van de Voort May 12 '11 at 16:03 Can you post the snippet? MathSciNet Mirror Sites Houston, TX USA Rio de Janeiro, Brazil Bielefeld, Germany Bonn, Germany Strasbourg, France ERROR The requested URL could not be retrieved The following error was encountered while I think the implementation in the Pascal for Scientists for erf is better than the erf here. –Warren P May 12 '11 at 13:40 @Warren Not according to my http://shpsoftware.com/error-function/inverse-error-function-c.php The system returned: (22) Invalid argument The remote host or network may be down.

Math. If xmax< |x| < 1, then the answer will be less accurate than half precision.