Mercurial > octave-nkf
diff libcruft/slatec-fn/erf.f @ 7789:82be108cc558
First attempt at single precision tyeps
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corrections to qrupdate single precision routines
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prefer demotion to single over promotion to double
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Add single precision support to log2 function
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Trivial PROJECT file update
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Cache optimized hermitian/transpose methods
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Add tests for tranpose/hermitian and ChangeLog entry for new transpose code
author | David Bateman <dbateman@free.fr> |
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date | Sun, 27 Apr 2008 22:34:17 +0200 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/libcruft/slatec-fn/erf.f Sun Apr 27 22:34:17 2008 +0200 @@ -0,0 +1,73 @@ +*DECK ERF + FUNCTION ERF (X) +C***BEGIN PROLOGUE ERF +C***PURPOSE Compute the error function. +C***LIBRARY SLATEC (FNLIB) +C***CATEGORY C8A, L5A1E +C***TYPE SINGLE PRECISION (ERF-S, DERF-D) +C***KEYWORDS ERF, ERROR FUNCTION, FNLIB, SPECIAL FUNCTIONS +C***AUTHOR Fullerton, W., (LANL) +C***DESCRIPTION +C +C ERF(X) calculates the single precision error function for +C single precision argument X. +C +C Series for ERF on the interval 0. to 1.00000D+00 +C with weighted error 7.10E-18 +C log weighted error 17.15 +C significant figures required 16.31 +C decimal places required 17.71 +C +C***REFERENCES (NONE) +C***ROUTINES CALLED CSEVL, ERFC, INITS, R1MACH +C***REVISION HISTORY (YYMMDD) +C 770401 DATE WRITTEN +C 890531 Changed all specific intrinsics to generic. (WRB) +C 890531 REVISION DATE from Version 3.2 +C 891214 Prologue converted to Version 4.0 format. (BAB) +C 900727 Added EXTERNAL statement. (WRB) +C 920618 Removed space from variable name. (RWC, WRB) +C***END PROLOGUE ERF + DIMENSION ERFCS(13) + LOGICAL FIRST + EXTERNAL ERFC + SAVE ERFCS, SQRTPI, NTERF, XBIG, SQEPS, FIRST + DATA ERFCS( 1) / -.0490461212 34691808E0 / + DATA ERFCS( 2) / -.1422612051 0371364E0 / + DATA ERFCS( 3) / .0100355821 87599796E0 / + DATA ERFCS( 4) / -.0005768764 69976748E0 / + DATA ERFCS( 5) / .0000274199 31252196E0 / + DATA ERFCS( 6) / -.0000011043 17550734E0 / + DATA ERFCS( 7) / .0000000384 88755420E0 / + DATA ERFCS( 8) / -.0000000011 80858253E0 / + DATA ERFCS( 9) / .0000000000 32334215E0 / + DATA ERFCS(10) / -.0000000000 00799101E0 / + DATA ERFCS(11) / .0000000000 00017990E0 / + DATA ERFCS(12) / -.0000000000 00000371E0 / + DATA ERFCS(13) / .0000000000 00000007E0 / + DATA SQRTPI /1.772453850 9055160E0/ + DATA FIRST /.TRUE./ +C***FIRST EXECUTABLE STATEMENT ERF + IF (FIRST) THEN + NTERF = INITS (ERFCS, 13, 0.1*R1MACH(3)) + XBIG = SQRT(-LOG(SQRTPI*R1MACH(3))) + SQEPS = SQRT(2.0*R1MACH(3)) + ENDIF + FIRST = .FALSE. +C + Y = ABS(X) + IF (Y.GT.1.) GO TO 20 +C +C ERF(X) = 1. - ERFC(X) FOR -1. .LE. X .LE. 1. +C + IF (Y.LE.SQEPS) ERF = 2.0*X/SQRTPI + IF (Y.GT.SQEPS) ERF = X*(1.0 + CSEVL(2.*X**2-1., ERFCS, NTERF)) + RETURN +C +C ERF(X) = 1. - ERFC(X) FOR ABS(X) .GT. 1. +C + 20 IF (Y.LE.XBIG) ERF = SIGN (1.0-ERFC(Y), X) + IF (Y.GT.XBIG) ERF = SIGN (1.0, X) +C + RETURN + END