| 1 | c++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++* |
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| 2 | DOUBLE PRECISION FUNCTION GPINDP(A,B,EPSIN,EPSOUT,FUNC,IOP) |
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| 3 | C from cernlib |
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| 4 | C PARAMETERS |
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| 5 | C |
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| 6 | C A = LOWER BOUNDARY |
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| 7 | C B = UPPER BOUNDARY |
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| 8 | C EPSIN = ACCURACY REQUIRED FOR THE APPROXINATION |
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| 9 | C EPSOUT = IMPROVED ERROR ESTIMATE FOR THE APPROXIMATION |
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| 10 | C FUNC = FUNCTION ROUTINE FOR THE FUNCTION FUNC(X).TO BE DE- |
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| 11 | C CLARED EXTERNAL IN THE CALLING ROUTINE |
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| 12 | C IOP = OPTION PARAMETER , IOP=1 , MODIFIED ROMBERG ALGORITHM, |
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| 13 | C ORDINARY CASE |
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| 14 | C IOP=2 , MODIFIED ROMBERG ALGORITHM, |
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| 15 | C COSINE TRANSFORMED CASE |
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| 16 | C IOP=3 , MODIFIED CLENSHAW-CURTIS AL |
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| 17 | C GORITHM |
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| 18 | C |
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| 19 | C PARAMETERS IN COMMON BLOCK / GPINT / |
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| 20 | C |
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| 21 | C TEND = UPPER BOUND FOR VALUE OF INTEGRAL |
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| 22 | C UMID = LOWER BOUND FOR VALUE OF INTEGRALC |
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| 23 | C N = THE NUMBER OF INTEGRAND VALUES USED IN THE CALCULATION |
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| 24 | C LINE = LINE NO IN ROMBERG TABLE (RELATED TO N THROUGH |
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| 25 | C N-1=2**(LINE-1) , APPLICABLE ONLY FOR IOP=1 OR 2) |
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| 26 | C IOUT = ELEMENT NO IN LINE (APPLICABLE ONLY FOR IOP=1 OR 2) |
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| 27 | C JOP = OPTION PARAMETER , JOP=0 , NO PRINTING OF INTERMEDIATE |
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| 28 | C CALCULATIONS |
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| 29 | C JOP=1 , PRINT INTERMEDIATE CALCULA- |
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| 30 | C TIONS |
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| 31 | C KOP = OPTION PARAMETER , KOP=0 , NO TIME ESTIMATE |
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| 32 | C KOP=1 , ESTIMATE TIME |
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| 33 | C T = TIME USED FOR CALCULATION IN MSEC. |
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| 34 | C |
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| 35 | C INTEGRATION PARAMETERS |
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| 36 | C |
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| 37 | C NUPPER = 9 , CORRESPONDS TO 1024 SUB-INTERVALS FOR THE UNFOLDED |
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| 38 | C INTEGRAL.THE MAX.NO OF FUNCTION EVALUATIONS THUS BEEING |
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| 39 | C 1025.THE HIGHEST END-POINT APPROXIMATION IS THUS USING |
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| 40 | C 1024 INTERVALS WHILE THE HIGHEST MID-POINT APPROXIMA- |
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| 41 | C TION IS USING 512 INTERVALS. |
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| 42 | C |
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| 43 | C INPUT/OUTPUT PARAMETERS |
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| 44 | C |
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| 45 | EXTERNAL FUNC |
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| 46 | DOUBLE PRECISION A,B,EPSIN,EPSOUT,BOUND,FUNC |
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| 47 | C |
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| 48 | C INTERNAL ARRAYS |
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| 49 | C |
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| 50 | DOUBLE PRECISION ACOF(513),BCOF(513),CCOF(1025) |
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| 51 | C |
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| 52 | C CONSTANTS IN DATA STATEMENTS |
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| 53 | C |
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| 54 | C*NS DOUBLE PRECISION ZERO,FOURTH,HALF,ONE,TWO,THREE,FOUR,FAC1,FAC2,PI, |
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| 55 | C*NS 1RANDER |
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| 56 | DOUBLE PRECISION ZERO,FOURTH,HALF,ONE,TWO, FOUR,FAC1,FAC2,PI |
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| 57 | C |
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| 58 | C VARIABLES DEPENDING ON STEPSIZE |
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| 59 | C |
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| 60 | DOUBLE PRECISION ALF,BET,RN,HNSTEP,TEND,UMID,WMEAN,DELN,TNEW,AR |
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| 61 | C |
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| 62 | C CONSTANTS RELATED TO CALCULATION OF TRIGONOMETRIC FUNCTIONS |
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| 63 | C |
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| 64 | DOUBLE PRECISION TRIARG,ALFN0,BETN0,GAMMAN,DELTAN,ALFNJ,BETNJ,ETAN |
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| 65 | 1K,KSINK |
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| 66 | C |
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| 67 | C OTHER VARIABLES USED |
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| 68 | C |
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| 69 | C*NS DOUBLE PRECISION CONST1,CONST2,XPLUS,XMIN,ERROR,RK,A0,A1,A2,COF,FA |
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| 70 | C*NS 1CTOR,ENDPTS |
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| 71 | DOUBLE PRECISION CONST1,CONST2,XPLUS,XMIN, RK,A0,A1,A2,COF,FA |
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| 72 | 1CTOR,ENDPTS |
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| 73 | C |
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| 74 | COMMON /GPINT/ TEND, UMID, N, LINE, IOUT, JOP, KOP, T |
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| 75 | DATA ZERO,FOURTH,HALF,ONE,TWO,FOUR/0.D0,.25D0,.5D0,1.D0,2.D0,4.D0/ |
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| 76 | DATA PI,FAC1,FAC2/3.141592653589793238462643383279D0,.411233516712 |
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| 77 | 1056609118103791649D0,.822467033424113218236207583298D0/ |
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| 78 | C |
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| 79 | DATA NUPPER/9/ |
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| 80 | C |
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| 81 | C TIMEX(T) IS A LIBRARY SUBROUTINE GIVING THE ELAPSED CP TIME |
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| 82 | C |
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| 83 | IF(KOP .NE. 0) T=1000.*T |
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| 84 | C |
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| 85 | C INITIAL CALCULATIONS |
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| 86 | C |
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| 87 | ALF=HALF*(B-A) |
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| 88 | BET=HALF*(B+A) |
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| 89 | CONST1=FUNC(A)+FUNC(B) |
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| 90 | CONST2=FUNC(BET) |
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| 91 | HNSTEP=TWO |
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| 92 | IF(IOP.EQ.2) HNSTEP=PI |
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| 93 | C |
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| 94 | IF(IOP.GT.1) GOTO 10 |
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| 95 | C |
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| 96 | C MODIFIED ROMBERG ALGORITHM,ORDINARY CASE |
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| 97 | C |
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| 98 | BCOF(1)=HNSTEP*CONST2 |
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| 99 | ACOF(1)=HALF*(CONST1+BCOF(1)) |
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| 100 | FACTOR=ONE |
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| 101 | ACOF(2)=ACOF(1)-(ACOF(1)-BCOF(1))/(FOUR*FACTOR-ONE) |
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| 102 | GOTO 30 |
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| 103 | C |
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| 104 | 10 IF(IOP.GT.2) GOTO 20 |
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| 105 | C |
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| 106 | C MODIFIED ROMBERG ALGORITHM,COSINE TRANSFORMED CASE |
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| 107 | C |
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| 108 | AR=FAC1 |
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| 109 | ENDPTS=CONST1 |
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| 110 | ACOF(1)=FAC2*CONST1 |
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| 111 | BCOF(1)=HNSTEP*CONST2-AR*CONST1 |
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| 112 | FACTOR=FOUR |
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| 113 | ACOF(1)=HALF*(ACOF(1)+BCOF(1)) |
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| 114 | ACOF(2)=ACOF(1)-(ACOF(1)-BCOF(1))/(FOUR*FACTOR-ONE) |
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| 115 | AR=FOURTH*AR |
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| 116 | GOTO 30 |
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| 117 | C |
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| 118 | 20 CONST1=HALF*CONST1 |
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| 119 | ACOF(1)=HALF*(CONST1+CONST2) |
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| 120 | ACOF(2)=HALF*(CONST1-CONST2) |
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| 121 | BCOF(2)=ACOF(2) |
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| 122 | TEND=TWO*(ACOF(1)-ACOF(2)/(ONE+TWO)) |
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| 123 | C |
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| 124 | C MODIFIED CLENSHAW-CURTIS ALGORITHM |
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| 125 | C |
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| 126 | 30 HNSTEP=HALF*HNSTEP |
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| 127 | NHALF=1 |
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| 128 | N=2 |
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| 129 | RN=TWO |
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| 130 | C |
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| 131 | IF(IOP.NE.1) THEN |
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| 132 | C |
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| 133 | C INITIAL PARAMETERS SPECIAL FOR THE MODIFIED ROMBERG ALGORITHM, |
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| 134 | C COSINE TRANSFORMED CASE AND THE MODIFIED CLENSHAW-CURTIS ALGORITHM |
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| 135 | C |
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| 136 | TRIARG=FOURTH*PI |
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| 137 | ALFN0=-ONE |
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| 138 | ENDIF |
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| 139 | C |
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| 140 | C END OF INITIAL CALCULATIONS |
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| 141 | C |
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| 142 | C START ACTUAL CALCULATION |
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| 143 | C |
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| 144 | C--- Transform this DO-loop into a GOTO to avoid illegal jumps into it |
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| 145 | C |
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| 146 | C DO 350 I=1,NUPPER |
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| 147 | I=0 |
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| 148 | 41 I=I+1 |
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| 149 | IF(I.GT.NUPPER) GOTO 350 |
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| 150 | LINE=I+2 |
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| 151 | C |
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| 152 | IF(IOP.GT.1) GOTO 60 |
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| 153 | C |
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| 154 | C MODIFIED ROMBERG ALGORITHM,ORDINARY CASE |
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| 155 | C |
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| 156 | C COMPUTE FIRST ELEMENT IN MID-POINT FORMULA FOR ORDINARY CASE |
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| 157 | C |
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| 158 | UMID=ZERO |
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| 159 | ALFNJ=HALF*HNSTEP |
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| 160 | DO 50 J=1,NHALF |
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| 161 | XPLUS=ALF*ALFNJ+BET |
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| 162 | XMIN=-ALF*ALFNJ+BET |
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| 163 | UMID=UMID+FUNC(XPLUS)+FUNC(XMIN) |
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| 164 | ALFNJ=ALFNJ+HNSTEP |
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| 165 | 50 CONTINUE |
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| 166 | UMID=HNSTEP*UMID |
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| 167 | GOTO 100 |
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| 168 | C |
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| 169 | C COMPUTE FUNCTION VALUES FOR MODIFIED ROMBERG ALGORITHM,COSINE |
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| 170 | C TRANSFORMED CASE AND MODIFIED CLENSHAW-CURTIS ALGORITHM |
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| 171 | C |
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| 172 | 60 CONST1=-SIN(TRIARG) |
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| 173 | CONST2=HALF*ALFN0/CONST1 |
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| 174 | IF(IOP.EQ.2) ETANK=CONST2 |
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| 175 | ALFN0=CONST1 |
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| 176 | BETN0=CONST2 |
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| 177 | GAMMAN=ONE-TWO*ALFN0**2 |
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| 178 | DELTAN=-TWO*ALFN0*BETN0 |
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| 179 | C |
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| 180 | DO 70 J=1,NHALF |
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| 181 | ALFNJ=GAMMAN*CONST1+DELTAN*CONST2 |
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| 182 | BETNJ=GAMMAN*CONST2-DELTAN*CONST1 |
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| 183 | XPLUS=ALF*ALFNJ+BET |
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| 184 | XMIN=-ALF*ALFNJ+BET |
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| 185 | CCOF(J)=FUNC(XPLUS)+FUNC(XMIN) |
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| 186 | CONST1=ALFNJ |
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| 187 | CONST2=BETNJ |
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| 188 | 70 CONTINUE |
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| 189 | C |
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| 190 | IF(IOP.EQ.3) GOTO 190 |
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| 191 | C |
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| 192 | C COMPUTE FIRST ELEMENT IN MID-POINT FORMULA FOR COSINE TRANSFORMED |
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| 193 | C ROMBERG ALGORITHM |
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| 194 | C |
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| 195 | NCOF=NHALF-1 |
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| 196 | COF=TWO*(TWO*ETANK**2-ONE) |
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| 197 | A2=ZERO |
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| 198 | A1=ZERO |
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| 199 | A0=CCOF(NHALF) |
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| 200 | IF(NCOF.EQ.0) GOTO 90 |
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| 201 | DO 80 J=1,NCOF |
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| 202 | A2=A1 |
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| 203 | A1=A0 |
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| 204 | INDEX=NHALF-J |
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| 205 | A0=CCOF(INDEX)+COF*A1-A2 |
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| 206 | 80 CONTINUE |
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| 207 | 90 UMID=HNSTEP*(A0-A1)*ETANK-AR*ENDPTS |
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| 208 | AR=FOURTH*AR |
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| 209 | C |
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| 210 | C MODIFIED ROMBERG ALGORITHM,CALCULATE (I+1)-TH ROW IN U-TABLE |
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| 211 | C |
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| 212 | 100 CONST1=FOUR*FACTOR |
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| 213 | INDEX=I+1 |
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| 214 | DO 110 J=2,INDEX |
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| 215 | TEND=UMID+(UMID-BCOF(J-1))/(CONST1-ONE) |
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| 216 | BCOF(J-1)=UMID |
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| 217 | UMID=TEND |
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| 218 | CONST1=FOUR*CONST1 |
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| 219 | 110 CONTINUE |
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| 220 | BCOF(INDEX)=TEND |
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| 221 | XPLUS=CONST1 |
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| 222 | C |
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| 223 | C CALCULATION OF (I+1)-TH ROW IN U-TABLE FINISHED |
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| 224 | C |
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| 225 | C PRINT INTERMEDIATE RESULTS IF WANTED |
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| 226 | C |
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| 227 | IF(JOP.EQ.0) GOTO 120 |
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| 228 | C |
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| 229 | ICHECK=0 |
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| 230 | ASSIGN 120 TO JUMP |
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| 231 | GOTO 360 |
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| 232 | C |
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| 233 | C TEST IF REQUIRED ACCURACY IS OBTAINED |
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| 234 | C |
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| 235 | 120 EPSOUT=ONE |
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| 236 | IOUT=1 |
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| 237 | DO 140 J=1,INDEX |
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| 238 | CONST1=HALF*(ACOF(J)+BCOF(J)) |
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| 239 | CONST2=HALF*ABS((ACOF(J)-BCOF(J))/CONST1) |
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| 240 | IF(CONST2.GT.EPSOUT) GOTO 130 |
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| 241 | EPSOUT=CONST2 |
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| 242 | IOUT=J |
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| 243 | 130 ACOF(J)=CONST1 |
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| 244 | 140 CONTINUE |
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| 245 | C |
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| 246 | C TESTING ON ACCURACY FINISHED |
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| 247 | C |
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| 248 | IF(IOUT.EQ.INDEX) IOUT=IOUT+1 |
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| 249 | ACOF(INDEX+1)=ACOF(INDEX)-(ACOF(INDEX)-BCOF(INDEX))/(XPLUS-ONE) |
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| 250 | C |
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| 251 | IF(EPSOUT.GT.EPSIN) GOTO 340 |
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| 252 | C |
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| 253 | C CALCULATION FOR MODIFIED ROMBERG ALGORITHM FINISHED |
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| 254 | C |
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| 255 | 150 N=2*N |
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| 256 | C |
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| 257 | C PRINT INTERMEDIATE RESULTS IF WANTED |
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| 258 | C |
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| 259 | IF(JOP.EQ.0) GOTO 170 |
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| 260 | C |
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| 261 | ICHECK=1 |
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| 262 | INDEX=INDEX+1 |
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| 263 | ASSIGN 160 TO JUMP |
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| 264 | GOTO 360 |
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| 265 | C |
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| 266 | 160 INDEX=INDEX-1 |
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| 267 | C |
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| 268 | 170 N=N+1 |
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| 269 | J=IOUT |
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| 270 | IF((J-1).LT.INDEX) GOTO 180 |
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| 271 | J=INDEX |
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| 272 | 180 TEND=ALF*(TWO*ACOF(J)-BCOF(J)) |
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| 273 | UMID=ALF*BCOF(J) |
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| 274 | GPINDP=ALF*ACOF(IOUT) |
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| 275 | C |
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| 276 | GOTO 310 |
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| 277 | C |
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| 278 | C START CALCULATION FOR MODIFIED CLENSHAW-CURTIS ALGORITHM |
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| 279 | C |
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| 280 | 190 BCOF(1)=ZERO |
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| 281 | DO 200 J=1,NHALF |
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| 282 | BCOF(1)=BCOF(1)+CCOF(J) |
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| 283 | 200 CONTINUE |
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| 284 | BCOF(1)=HALF*HNSTEP*BCOF(1) |
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| 285 | C |
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| 286 | C CALCULATION OF FIRST B-COEFFICIENT FINISHED.COMPUTE THE HIGHER |
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| 287 | C COEFFICIENTS IF NHALF GREATER THAN ONE |
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| 288 | C |
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| 289 | IF(NHALF.EQ.1) GOTO 230 |
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| 290 | C |
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| 291 | CONST1=ONE |
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| 292 | CONST2=ZERO |
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| 293 | NCOF=NHALF-1 |
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| 294 | KSIGN=-1 |
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| 295 | DO 220 K=1,NCOF |
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| 296 | C |
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| 297 | C COMPUTE TRIGONOMETRIC SUM FOR B-COEFFICIENT |
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| 298 | C |
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| 299 | ETANK=GAMMAN*CONST1-DELTAN*CONST2 |
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| 300 | KSINK=GAMMAN*CONST2+DELTAN*CONST1 |
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| 301 | COF=TWO*(TWO*ETANK**2-ONE) |
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| 302 | A2=ZERO |
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| 303 | A1=ZERO |
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| 304 | A0=CCOF(NHALF) |
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| 305 | DO 210 J=1,NCOF |
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| 306 | A2=A1 |
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| 307 | A1=A0 |
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| 308 | INDEX=NHALF-J |
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| 309 | A0=CCOF(INDEX)+COF*A1-A2 |
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| 310 | 210 CONTINUE |
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| 311 | C |
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| 312 | BCOF(K+1)=HNSTEP*(A0-A1)*ETANK |
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| 313 | IF(KSIGN.EQ.-1) BCOF(K+1)=-BCOF(K+1) |
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| 314 | KSIGN=-KSIGN |
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| 315 | C |
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| 316 | CONST1=ETANK |
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| 317 | CONST2=KSINK |
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| 318 | C |
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| 319 | 220 CONTINUE |
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| 320 | C |
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| 321 | C CALCULATION OF B-COEFFICIENTS FINISHED |
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| 322 | C |
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| 323 | C COMPUTE NEW MODIFIED MID-POINT APPROXIMATION WHEN THE INTERVAL |
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| 324 | C OF INTEGRATION IS DIVIDED IN N EQUAL SUB INTERVALS |
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| 325 | C |
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| 326 | 230 UMID=ZERO |
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| 327 | RK=RN |
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| 328 | NN=NHALF+1 |
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| 329 | DO 240 K=1,NN |
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| 330 | INDEX=NN+1-K |
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| 331 | UMID=UMID+BCOF(INDEX)/(RK**2-ONE) |
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| 332 | RK=RK-TWO |
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| 333 | 240 CONTINUE |
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| 334 | UMID=-TWO*UMID |
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| 335 | C |
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| 336 | C COMPUTE NEW C-COEFFICIENTS FOR END-POINT APPROXIMATION |
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| 337 | C |
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| 338 | NN=N+2 |
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| 339 | DO 250 J=1,NHALF |
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| 340 | INDEX=NN-J |
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| 341 | CCOF(J)=HALF*(ACOF(J)+BCOF(J)) |
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| 342 | CCOF(INDEX)=HALF*(ACOF(J)-BCOF(J)) |
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| 343 | 250 CONTINUE |
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| 344 | INDEX=NHALF+1 |
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| 345 | CCOF(INDEX)=ACOF(INDEX) |
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| 346 | C |
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| 347 | C CALCULATION OF NEW COEFFICIENTS FINISHED |
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| 348 | C |
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| 349 | C COMPUTE NEW END-POINT APPROXIMATION WHEN THE INTERVAL OF INTEGRA- |
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| 350 | C TION IS DIVIDED IN 2N EQUAL SUB INTERVALS |
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| 351 | C |
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| 352 | WMEAN=HALF*(TEND+UMID) |
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| 353 | BOUND=HALF*(TEND-UMID) |
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| 354 | C |
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| 355 | DELN=ZERO |
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| 356 | RK=TWO*RN |
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| 357 | DO 260 J=1,NHALF |
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| 358 | INDEX=N+2-J |
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| 359 | DELN=DELN+CCOF(INDEX)/(RK**2-ONE) |
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| 360 | RK=RK-TWO |
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| 361 | 260 CONTINUE |
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| 362 | DELN=-TWO*DELN |
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| 363 | C |
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| 364 | C PRINT INTERMEDIATE RESULTS IF WANTED |
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| 365 | C |
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| 366 | IF(JOP.EQ.0) GOTO 270 |
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| 367 | C |
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| 368 | GOTO 400 |
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| 369 | C |
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| 370 | C PRINTING OF INTERMEDIATE RESULTS FINISHED |
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| 371 | C |
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| 372 | 270 TNEW=WMEAN+DELN |
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| 373 | EPSOUT=ABS(BOUND/TNEW) |
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| 374 | C |
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| 375 | IF(EPSOUT.GT.EPSIN) GOTO 320 |
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| 376 | C |
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| 377 | C REQUIRED ACCURACY OBTAINED |
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| 378 | C |
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| 379 | 280 N=2*N+1 |
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| 380 | C |
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| 381 | C*UL 290 TEND=ALF*(TEND+DELN) |
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| 382 | TEND=ALF*(TEND+DELN) |
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| 383 | UMID=ALF*(UMID+DELN) |
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| 384 | C |
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| 385 | C*UL 300 GPINDP=ALF*TNEW |
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| 386 | GPINDP=ALF*TNEW |
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| 387 | C |
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| 388 | 310 IF(KOP.EQ.0) GOTO 315 |
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| 389 | c CALL TIMEX ( T) |
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| 390 | T=1000.*T |
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| 391 | C |
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| 392 | 315 RETURN |
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| 393 | C |
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| 394 | 320 DO 330 J=1,N |
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| 395 | ACOF(J)=CCOF(J) |
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| 396 | 330 CONTINUE |
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| 397 | ACOF(N+1)=CCOF(N+1) |
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| 398 | BCOF(N+1)=CCOF(N+1) |
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| 399 | TEND=TNEW |
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| 400 | C |
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| 401 | 340 NHALF=N |
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| 402 | N=2*N |
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| 403 | RN=TWO*RN |
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| 404 | HNSTEP=HALF*HNSTEP |
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| 405 | IF(IOP.GT.1) TRIARG=HALF*TRIARG |
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| 406 | C |
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| 407 | GOTO 41 |
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| 408 | 350 CONTINUE |
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| 409 | C |
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| 410 | C REQUIRED ACCURACY OF INTEGRAL NOT OBTAINED |
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| 411 | C |
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| 412 | N=NHALF |
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| 413 | RN=HALF*RN |
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| 414 | C |
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| 415 | IF(IOP.LT.3) GOTO 150 |
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| 416 | C |
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| 417 | TEND=TWO*(TNEW-DELN)-UMID |
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| 418 | C |
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| 419 | GOTO 280 |
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| 420 | C PRINT INTERMEDIATE RESULTS FOR THE MODIFIED ROMBERG ALGORITHM |
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| 421 | C |
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| 422 | 360 IF((N.NE.2).AND.(N.NE.256)) GOTO 370 |
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| 423 | IF(N.EQ.256) WRITE(6,460) |
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| 424 | WRITE(6,420) |
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| 425 | 370 DO 390 J=1,INDEX |
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| 426 | CONST1=ALF*ACOF(J) |
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| 427 | IF(ICHECK.EQ.1) GOTO 380 |
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| 428 | CONST2=ALF*BCOF(J) |
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| 429 | IF(J.EQ.1) WRITE(6,430) N,J,CONST1,CONST2 |
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| 430 | IF(J.GT.1) WRITE(6,440) J,CONST1,CONST2 |
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| 431 | GOTO 390 |
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| 432 | C |
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| 433 | 380 IF(J.EQ.1) WRITE(6,430) N,J,CONST1 |
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| 434 | IF(J.GT.1) WRITE(6,440) J,CONST1 |
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| 435 | 390 CONTINUE |
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| 436 | GOTO JUMP,(120,160) |
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| 437 | C |
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| 438 | C PRINTING FINISHED FOR THE MODIFIED ROMBERG ALGORITHM |
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| 439 | C |
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| 440 | C PRINT INTERMEDIATE RESULTS FOR THE MODIFIED CLENSHAW-CURTIS AL- |
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| 441 | C GORITHM |
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| 442 | C |
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| 443 | 400 A0=ALF*TEND |
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| 444 | A1=ALF*WMEAN |
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| 445 | A2=ALF*UMID |
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| 446 | CONST1=ALF*BOUND |
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| 447 | CONST2=ALF*DELN |
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| 448 | C |
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| 449 | IF(N.GT.2) GOTO 410 |
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| 450 | C |
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| 451 | WRITE(6,470) |
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| 452 | 410 WRITE(6,480) N,A0 |
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| 453 | WRITE(6,490) A1,CONST2,CONST1 |
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| 454 | WRITE(6,490) A2 |
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| 455 | GOTO 270 |
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| 456 | C |
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| 457 | C PRINTING FINISHED FOR THE MODIFIED CLENSHAW-CURTIS ALGORITHM |
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| 458 | C |
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| 459 | 420 FORMAT(/,8X,'N',3X,'J',19X,'TEND(J)',34X,'UMID(J)',/) |
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| 460 | 430 FORMAT(5X,I4,2X,I2,4X,D36.29,5X,D36.29) |
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| 461 | 440 FORMAT(11X,I2,4X,D36.29,5X,D36.29) |
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| 462 | 450 FORMAT(/) |
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| 463 | 460 FORMAT('1'////) |
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| 464 | 470 FORMAT(6X,'N',17X,'TEND ',/,20X,'(TEND+UMID)/2',28X,'DELN',34X, |
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| 465 | 1 '(TEND-UMID)/2'/24X,'UMID') |
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| 466 | 480 FORMAT(/,4X,I3,2X,D36.29) |
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| 467 | 490 FORMAT(9X,D36.29,3X,D36.29,3X,D36.29) |
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| 468 | END |
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| 469 | c++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++* |
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