| fe4da5cc |
1 | * |
| 2 | * $Id$ |
| 3 | * |
| 4 | * $Log$ |
| 5 | * Revision 1.1.1.1 1996/04/01 15:02:08 mclareni |
| 6 | * Mathlib gen |
| 7 | * |
| 8 | * |
| 9 | #include "gen/pilot.h" |
| 10 | #if defined(CERNLIB_QUAD) |
| 11 | #if defined(CERNLIB_DOUBLE) |
| 12 | SUBROUTINE QBSJA(X,A,NMAX,ND,B) |
| 13 | #endif |
| 14 | #if !defined(CERNLIB_DOUBLE) |
| 15 | SUBROUTINE DBSJA(X,A,NMAX,ND,B) |
| 16 | #endif |
| 17 | |
| 18 | #include "gen/imp128.inc" |
| 19 | REAL SX,D,T,Q,U,V,TC(11) |
| 20 | CHARACTER*80 ERRTXT |
| 21 | CHARACTER NAMEJ*(*),NAMEI*(*) |
| 22 | #if defined(CERNLIB_DOUBLE) |
| 23 | PARAMETER (NAMEJ = 'DBSJA/QBSJA', |
| 24 | 1 NAMEI = 'DBSIA/QBSIA') |
| 25 | #endif |
| 26 | #if !defined(CERNLIB_DOUBLE) |
| 27 | PARAMETER (NAMEJ = 'DBSJA', NAMEI = 'DBSIA') |
| 28 | #endif |
| 29 | LOGICAL LJA,LIA,LEV,LER |
| 30 | DIMENSION B(0:*),BA(0:100),RR(0:100) |
| 31 | |
| 32 | PARAMETER (Z1 = 1, HF = Z1/2, Z10 = 10) |
| 33 | |
| 34 | DATA TC / 5.7941 E-5,-1.76148E-3, 2.08645E-2,-1.29013E-1, |
| 35 | 1 8.5777 E-1, 1.0125 E+0, 7.75 E-1, 2.3026 E+0, |
| 36 | 2 1.3863 E+0, 7.3576 E-1, 1.3591 E+0/ |
| 37 | |
| 38 | LJA=.TRUE. |
| 39 | LIA=.FALSE. |
| 40 | SGN=-1 |
| 41 | GO TO 9 |
| 42 | |
| 43 | #if defined(CERNLIB_DOUBLE) |
| 44 | ENTRY QBSIA(X,A,NMAX,ND,B) |
| 45 | #endif |
| 46 | #if !defined(CERNLIB_DOUBLE) |
| 47 | ENTRY DBSIA(X,A,NMAX,ND,B) |
| 48 | #endif |
| 49 | LJA=.FALSE. |
| 50 | LIA=.TRUE. |
| 51 | SGN=1 |
| 52 | |
| 53 | 9 LER=.FALSE. |
| 54 | IF(X .LE. 0) THEN |
| 55 | WRITE(ERRTXT,101) X |
| 56 | IF(LJA) CALL MTLPRT(NAMEJ,'C343.1',ERRTXT) |
| 57 | IF(LIA) CALL MTLPRT(NAMEI,'C343.1',ERRTXT) |
| 58 | LER=.TRUE. |
| 59 | ELSEIF(.NOT.(0 .LE. A .AND. A .LT. 1)) THEN |
| 60 | WRITE(ERRTXT,102) A |
| 61 | IF(LJA) CALL MTLPRT(NAMEJ,'C343.2',ERRTXT) |
| 62 | IF(LIA) CALL MTLPRT(NAMEI,'C343.2',ERRTXT) |
| 63 | LER=.TRUE. |
| 64 | ELSEIF(ABS(NMAX) .GT. 100) THEN |
| 65 | WRITE(ERRTXT,103) NMAX |
| 66 | IF(LJA) CALL MTLPRT(NAMEJ,'C343.3',ERRTXT) |
| 67 | IF(LIA) CALL MTLPRT(NAMEI,'C343.3',ERRTXT) |
| 68 | LER=.TRUE. |
| 69 | END IF |
| 70 | IF(LER) RETURN |
| 71 | EPS=HF*Z10**(-ND) |
| 72 | NMX=ABS(NMAX) |
| 73 | IF(NMAX .LE. 0) NMX=1 |
| 74 | DO 5 N = 0,NMX |
| 75 | RR(N)=0 |
| 76 | 5 BA(N)=0 |
| 77 | D=TC(8)*ND+TC(9) |
| 78 | SX=X |
| 79 | Q=0 |
| 80 | IF(NMX .GT. 0) THEN |
| 81 | V=0.5*D/NMX |
| 82 | IF(V .LE. 10) THEN |
| 83 | T=TC(1) |
| 84 | DO 6 I = 2,6 |
| 85 | 6 T=V*T+TC(I) |
| 86 | ELSE |
| 87 | U=LOG(V)-TC(7) |
| 88 | T=V/(U*(1+(TC(7)-LOG(U))/(1+U))) |
| 89 | ENDIF |
| 90 | Q=NMX*T |
| 91 | ENDIF |
| 92 | #if defined(CERNLIB_DOUBLE) |
| 93 | F=(HF*X)**A/QGAMMA(1+A) |
| 94 | #endif |
| 95 | #if !defined(CERNLIB_DOUBLE) |
| 96 | F=(HF*X)**A/DGAMMA(1+A) |
| 97 | #endif |
| 98 | T=1 |
| 99 | V=TC(10)*D/SX |
| 100 | IF(LIA) THEN |
| 101 | F=EXP(X)*F |
| 102 | V=V-TC(10) |
| 103 | ENDIF |
| 104 | IF(LJA .OR. LIA .AND. X .LT. D) THEN |
| 105 | IF(V .LE. 10) THEN |
| 106 | T=TC(1) |
| 107 | DO 7 I = 2,6 |
| 108 | 7 T=V*T+TC(I) |
| 109 | ELSE |
| 110 | U=LOG(V)-TC(7) |
| 111 | T=V/(U*(1+(TC(7)-LOG(U))/(1+U))) |
| 112 | ENDIF |
| 113 | ENDIF |
| 114 | NU=1+MAX(Q,TC(11)*SX*T) |
| 115 | |
| 116 | MU=-1 |
| 117 | 2 MU=MU+1 |
| 118 | AL=1 |
| 119 | IF(LJA) THEN |
| 120 | DO 3 N = 1,NU/2 |
| 121 | XN=N |
| 122 | 3 AL=AL*(XN+A)/(XN+1) |
| 123 | R=0 |
| 124 | S=0 |
| 125 | LEV=.TRUE. |
| 126 | DO 4 N = 2*(NU/2),1,-1 |
| 127 | XN=N |
| 128 | XA=XN+A |
| 129 | R=1/(2*XA/X-R) |
| 130 | IF(N .LE. NMX) RR(N-1)=R |
| 131 | IF(LEV) THEN |
| 132 | AL=AL*(XN+2)/(XA+A) |
| 133 | S=R*(AL*XA+S) |
| 134 | ELSE |
| 135 | S=R*S |
| 136 | ENDIF |
| 137 | LEV=.NOT.LEV |
| 138 | 4 CONTINUE |
| 139 | ELSE |
| 140 | DO 23 N = 1,NU |
| 141 | XN=N |
| 142 | 23 AL=AL*(XN+2*A)/(XN+1) |
| 143 | R=0 |
| 144 | S=0 |
| 145 | DO 24 N = NU,1,-1 |
| 146 | XN=N |
| 147 | XA=XN+A |
| 148 | XA2=XA+XA |
| 149 | R=1/(XA2/X+R) |
| 150 | IF(N .LE. NMX) RR(N-1)=R |
| 151 | AL=AL*(XN+1)/(XA+A) |
| 152 | S=R*(XA2*AL+S) |
| 153 | 24 CONTINUE |
| 154 | ENDIF |
| 155 | B(0)=F/(1+S) |
| 156 | DO 10 N = 0,NMX-1 |
| 157 | 10 B(N+1)=RR(N)*B(N) |
| 158 | DO 11 N = 0,NMX |
| 159 | IF(ABS(B(N)-BA(N)) .GT. EPS*ABS(B(N))) THEN |
| 160 | DO 12 M = 0,NMX |
| 161 | 12 BA(M)=B(M) |
| 162 | NU=NU+5 |
| 163 | IF(MU .LE. 50) GO TO 2 |
| 164 | WRITE(ERRTXT,104) X,A |
| 165 | IF(LJA) CALL MTLPRT(NAMEJ,'C343.4',ERRTXT) |
| 166 | IF(LIA) CALL MTLPRT(NAMEI,'C343.4',ERRTXT) |
| 167 | RETURN |
| 168 | ENDIF |
| 169 | 11 CONTINUE |
| 170 | IF(NMAX .LT. 0) THEN |
| 171 | AL=2/X |
| 172 | B(1)=AL*A*B(0)+SGN*B(1) |
| 173 | DO 13 N = 1,-NMAX-1 |
| 174 | 13 B(N+1)=AL*(A-N)*B(N)+SGN*B(N-1) |
| 175 | ENDIF |
| 176 | RETURN |
| 177 | 101 FORMAT('ILLEGAL ARGUMENT X = ',1P,D15.8) |
| 178 | 102 FORMAT('ILLEGAL ORDER A = ',1P,D15.8) |
| 179 | 103 FORMAT('ILLEGAL NMAX = ',I5) |
| 180 | 104 FORMAT('NO CONVERGENCE FOR X = ',1P,D15.8,' A = ',D15.8, |
| 181 | 1 ' TRY SMALLER ND') |
| 182 | END |
| 183 | #endif |
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