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authorstainer_t <thomas.stainer@oecd-nea.org>2025-09-08 13:48:49 +0200
committerstainer_t <thomas.stainer@oecd-nea.org>2025-09-08 13:48:49 +0200
commit7dfcc480ba1e19bd3232349fc733caef94034292 (patch)
tree03ee104eb8846d5cc1a981d267687a729185d3f3 /Dragon/src/B1GAMA.f
Initial commit from Polytechnique Montreal
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+*DECK B1GAMA
+ DOUBLE PRECISION FUNCTION B1GAMA(IAPROX,B2,SIG)
+*
+*-----------------------------------------------------------------------
+*
+*Purpose:
+* Compute the gamma function for a P1 or B1 calculation.
+*
+*Copyright:
+* Copyright (C) 2002 Ecole Polytechnique de Montreal
+* This library is free software; you can redistribute it and/or
+* modify it under the terms of the GNU Lesser General Public
+* License as published by the Free Software Foundation; either
+* version 2.1 of the License, or (at your option) any later version
+*
+*Author(s): A. Hebert
+*
+*Parameters: input
+* IAPROX type of beta function calculation:
+* =0: LKRD or RHS; =1: P0 or P1; =2: B0 or B1.
+* B2 buckling.
+* SIG total macroscopic cross section.
+*
+*Parameters: output
+* B1GAMA value of the gamma function.
+*
+*-----------------------------------------------------------------------
+*
+ IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+*----
+* SUBROUTINE ARGUMENTS
+*----
+ INTEGER IAPROX
+ DOUBLE PRECISION B2,SIG
+ PARAMETER(B2LIM=0.5D0)
+*
+ SIG2=SIG*SIG
+ B1GAMA=0.0D0
+ IF(IAPROX.LE.1) THEN
+* P0 OR P1 APPROXIMATION
+ B1GAMA=1.0D0
+ ELSE IF(IAPROX.EQ.2) THEN
+* B0 OR B1 APPROXIMATION
+ IF(B2.EQ.0.0) THEN
+ B1GAMA=1.0D0
+ ELSE IF(B2.GT.0.05D0*SIG2) THEN
+ TMP=SQRT(B2)/SIG
+ BBS=SIG/SQRT(B2)
+ ATG=ATAN(TMP)
+ B1GAMA=ATG/(3.0D0*BBS*(1.0D0-BBS*ATG))
+ ELSE IF((B2.LE.0.05D0*SIG2).AND.(B2.GE.-0.05D0*SIG2)) THEN
+ TMP=B2/SIG2
+ B1GAMA=1.0D0+TMP*(4.0D0/15.0D0-12.0D0*TMP/175.0D0
+ 1 +92.0D0*TMP*TMP/2625.0D0)
+ ELSE IF((B2.LT.-0.05D0*SIG2).AND.(B2.GE.-B2LIM*SIG2)) THEN
+ TMP=SQRT(-B2)
+ SB=SIG/TMP
+ BLN=0.5D0*LOG((SIG+TMP)/(SIG-TMP))
+ B1GAMA=BLN/(3.0D0*SB*(SB*BLN-1.0D0))
+ ELSE IF(B2.LT.-B2LIM*SIG2) THEN
+* Pn-type fundamental mode extension for extreme subcritical
+* cases
+ TMP2=SQRT(B2LIM*SIG2)
+ ALPHA1=0.5D0*LOG((SIG+TMP2)/(SIG-TMP2))/TMP2
+ ALPHA2=3.0D0*SIG/(3.0D0*SIG2-B2LIM*SIG2)
+ ALPHA3=3.0D0*SIG/(3.0D0*SIG2+B2)
+ B1BETA=(1.0D0-(ALPHA1-ALPHA2+ALPHA3)*SIG)/B2
+ B1GAMA=(ALPHA1-ALPHA2+ALPHA3)/(3.0D0*SIG*B1BETA)
+ ENDIF
+ ELSE
+ CALL XABORT('B1GAMA: INVALID VALUE OF IAPROX.')
+ ENDIF
+ RETURN
+ END