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ÇëÎÊÄܸæËßÎÒËüµÄÔËÐÐ˳ÐòÂð£¿Ð»Ð»£¡£¡ FUNCTION PLM(L,M,X) C LEGENDRE FUNCTIONS FOR (0.ge.L.le.8) IF(L.GT.0)GO TO 100 C L=0 PLM=0.7071068 RETURN 100 Y=X*X GO TO (1,2,3,4,5,6,7,8),L C L=1 1 GO TO (10,11) M+1 10 PLM=1.2247449*X RETURN 11 PLM=0.8660254*(1.-Y)**0.5 RETURN C L=2 2 GO TO (20,21,22) M+1 20 PLM=0.7905694*(-1.+3.*Y) RETURN 21 PLM=1.9364917*X*(1.-Y)**0.5 RETURN 22 PLM=0.9682458*(1.-Y) RETURN C L=3 3 GO TO (30,31,32,33) M+1 30 PLM=0.9354143*X*(-3.+5.*Y) RETURN 31 PLM=0.8100926*(1.-Y)**0.5*(-1.+5.*Y) RETURN 32 PLM=2.5617377*X*(1.-Y) RETURN 33 PLM=1.0458250*(1.-Y)**1.5 RETURN C L=4 4 GO TO (40,41,42,43,44) M+1 40 PLM=0.2651650*(3.+Y*(-30.+35.*Y)) RETURN 41 PLM=1.1858541*X*(1.-Y)**0.5*(-3.+7.*Y) RETURN 42 PLM=0.8385255*(1.-Y)*(-1.+7.*Y) RETURN 43 PLM=3.1374751*X*(1.-Y)**1.5 RETURN 44 PLM=1.1092650*(1.-Y)**2 RETURN C L=5 5 GO TO (50,51,52,53,54,55) M+1 50 PLM=0.2931510*X*(15.+Y*(-70.+63.*Y)) RETURN 51 PLM=0.8028270*(1.-Y)**0.5*(1.+Y*(-14.+21.*Y)) RETURN 52 PLM=4.2481614*X*(1.-Y)*(-1.+3.*Y) RETURN 53 PLM=0.8671523*(1.-Y)**1.5*(-1.+9.*Y) RETURN 54 PLM=3.6790157*X*(1.-Y)**2 RETURN 55 PLM=1.1634069*(1.-Y)**2.5 RETURN C L=6 6 GO TO (60,61,62,63,64,65,66) M+1 60 PLM=0.15934436*(-5.+Y*(105.+Y*(-315.+231.*Y))) RETURN 61 PLM=1.0326695*X*(1.-Y)**0.5*(5.+Y*(-30.+33.*Y)) RETURN 62 PLM=0.8163969*(1.-Y)*(1.+Y*(-18.+33.*Y)) RETURN 63 PLM=1.6327938*X*(1.-Y)**1.5*(-3.+11.*Y) RETURN 64 PLM=0.8943180*(1.-Y)**2*(-1.+11.*Y) RETURN 65 PLM=4.1947232*X*(1.-Y)**2.5 RETURN 66 PLM=1.2109123*(1.-Y)**3 RETURN C L=7 7 GO TO (70,71,72,73,74,75,76,77) M+1 70 PLM=0.1711633*X*(-35.+Y*(315.+Y*(-693.+429*Y))) RETURN 71 PLM=0.1601086*(1.-Y)**0.5*(-5.+Y*(135.+Y*(-495.+429*Y))) RETURN 72 PLM=0.3921844*X*(1.-Y)*(15.+Y*(-110.+143.*Y)) RETURN 73 PLM=0.2773162*(1-Y)**1.5*(3.+Y*(-66.+143.*Y)) RETURN 74 PLM=1.8395078*X*(1.-Y)**2*(-3.+13.*Y) RETURN 75 PLM=0.9197539*(1.-Y)**2.5*(-1.+13.*Y) RETURN 76 PLM=4.6898432*X*(1.-Y)**3 RETURN 77 PLM=1.2534133*(1.-Y)**3.5 RETURN C L=8 8 GO TO (80,81,82,83,84,85,86,87,88) M+1 80 PLM=0.022777156*(35.+Y*(-1260.+Y*(6930.+Y*(-12012.+6435.*Y)))) RETURN 81 PLM=0.1932706*X*(1.-Y)**0.5*(-35.+Y*(385.+Y*(-1001.+715.*Y))) RETURN 82 PLM=0.8085088*(1.-Y)*(-1.+Y*(33.+Y*(-143.+143.*Y))) RETURN 83 PLM=2.1894523*X*(1.-Y)**1.5*(3.+Y*(-26.+39.*Y)) RETURN 84 plm=0.8479712*(1.-y)**2*(1.+y*(-26.+65.*y)) RETURN 85 PLM=6.1148074*X*(1.-Y)**2.5*(-1.+5.*Y) RETURN 86 PLM=0.9435353*(1.-Y)**3*(-1.+15.*Y) RETURN 87 PLM=5.1679555*X*(1.-Y)**3.5 RETURN 88 PLM=1.2919889*(1.-Y)**4 RETURN END |
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