| 1 | |
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| 2 | SUBROUTINE grid_noro(imdep, jmdep, xdata, ydata, zdata, |
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| 3 | . imar, jmar, x, y, |
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| 4 | . zphi,zmea,zstd,zsig,zgam,zthe, |
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| 5 | . zpic,zval,mask) |
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| 6 | c======================================================================= |
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| 7 | c (F. Lott) (voir aussi z.x. Li, A. Harzallah et L. Fairhead) |
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| 8 | c |
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| 9 | c Compute the Parameters of the SSO scheme as described in |
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| 10 | c LOTT & MILLER (1997) and LOTT(1999). |
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| 11 | c Target points are on a rectangular grid: |
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| 12 | c iim+1 latitudes including North and South Poles; |
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| 13 | c jjm+1 longitudes, with periodicity jjm+1=1. |
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| 14 | c aux poles. At the poles the fields value is repeated |
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| 15 | c jjm+1 time. |
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| 16 | c The parameters a,b,c,d represent the limite of the target |
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| 17 | c gridpoint region. The means over this region are calculated |
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| 18 | c from USN data, ponderated by a weight proportional to the |
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| 19 | c surface occupated by the data inside the model gridpoint area. |
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| 20 | c In most circumstances, this weight is the ratio between the |
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| 21 | c surface of the USN gridpoint area and the surface of the |
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| 22 | c model gridpoint area. |
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| 23 | c |
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| 24 | c (c) |
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| 25 | c ----d----- |
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| 26 | c | . . . .| |
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| 27 | c | | |
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| 28 | c (b)a . * . .b(a) |
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| 29 | c | | |
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| 30 | c | . . . .| |
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| 31 | c ----c----- |
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| 32 | c (d) |
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| 33 | C======================================================================= |
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| 34 | c INPUT: |
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| 35 | c imdep, jmdep: dimensions X and Y input field |
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| 36 | c xdata, ydata: coordinates X and Y input field |
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| 37 | c zdata: Input field |
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| 38 | c In this version it is assumed that the entry data come from |
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| 39 | c the USNavy dataset: imdep=iusn=2160, jmdep=jusn=1080. |
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| 40 | c OUTPUT: |
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| 41 | c imar, jmar: dimensions X and Y Output field |
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| 42 | c x, y: ccordinates X and Y Output field. |
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| 43 | c zmea: Mean orographie |
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| 44 | c zstd: Standard deviation |
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| 45 | c zsig: Slope |
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| 46 | c zgam: Anisotropy |
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| 47 | c zthe: Orientation of the small axis |
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| 48 | c zpic: Maximum altitude |
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| 49 | c zval: Minimum altitude |
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| 50 | C======================================================================= |
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| 51 | IMPLICIT INTEGER (I,J) |
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| 52 | IMPLICIT REAL(X,Z) |
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| 53 | |
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| 54 | parameter(iusn=2160,jusn=1080,iext=216) |
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| 55 | #include "dimensions.h" |
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| 56 | REAL xusn(iusn+2*iext),yusn(jusn+2) |
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| 57 | REAL zusn(iusn+2*iext,jusn+2) |
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| 58 | |
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| 59 | INTEGER imdep, jmdep |
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| 60 | REAL xdata(imdep),ydata(jmdep) |
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| 61 | REAL zdata(imdep,jmdep) |
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| 62 | c |
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| 63 | INTEGER imar, jmar |
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| 64 | |
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| 65 | C INTERMEDIATE FIELDS (CORRELATIONS OF OROGRAPHY GRADIENT) |
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| 66 | |
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| 67 | REAL ztz(iim+1,jjm+1),zxtzx(iim+1,jjm+1) |
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| 68 | REAL zytzy(iim+1,jjm+1),zxtzy(iim+1,jjm+1) |
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| 69 | REAL weight(iim+1,jjm+1) |
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| 70 | |
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| 71 | C CORRELATIONS OF USN OROGRAPHY GRADIENTS |
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| 72 | |
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| 73 | REAL zxtzxusn(iusn+2*iext,jusn+2),zytzyusn(iusn+2*iext,jusn+2) |
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| 74 | REAL zxtzyusn(iusn+2*iext,jusn+2) |
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| 75 | REAL x(imar+1),y(jmar),zphi(imar+1,jmar) |
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| 76 | REAL zmea(imar+1,jmar),zstd(imar+1,jmar) |
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| 77 | REAL zsig(imar+1,jmar),zgam(imar+1,jmar),zthe(imar+1,jmar) |
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| 78 | REAL zpic(imar+1,jmar),zval(imar+1,jmar) |
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| 79 | integer mask(imar+1,jmar) |
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| 80 | real num_tot(2200,1100),num_lan(2200,1100) |
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| 81 | c |
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| 82 | REAL a(2200),b(2200),c(1100),d(1100) |
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| 83 | c |
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| 84 | print *,' parametres de l orographie a l echelle sous maille' |
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| 85 | xpi=acos(-1.) |
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| 86 | rad = 6 371 229. |
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| 87 | zdeltay=2.*xpi/real(jusn)*rad |
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| 88 | |
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| 89 | c |
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| 90 | c quelques tests de dimensions: |
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| 91 | c |
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| 92 | c |
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| 93 | if(iim.ne.imar) STOP 'Problem dim. x' |
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| 94 | if(jjm.ne.jmar-1) STOP 'Problem dim. y' |
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| 95 | IF (imar.GT.2200 .OR. jmar.GT.1100) THEN |
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| 96 | PRINT*, 'imar or jmar too big', imar, jmar |
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| 97 | CALL ABORT |
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| 98 | ENDIF |
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| 99 | |
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| 100 | IF(imdep.ne.iusn.or.jmdep.ne.jusn)then |
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| 101 | print *,' imdep or jmdep bad dimensions:',imdep,jmdep |
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| 102 | call abort |
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| 103 | ENDIF |
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| 104 | |
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| 105 | IF(imar+1.ne.iim+1.or.jmar.ne.jjm+1)THEN |
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| 106 | print *,' imar or jmar bad dimensions:',imar,jmar |
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| 107 | call abort |
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| 108 | ENDIF |
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| 109 | |
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| 110 | |
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| 111 | c print *,'xdata:',xdata |
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| 112 | c print *,'ydata:',ydata |
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| 113 | c print *,'x:',x |
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| 114 | c print *,'y:',y |
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| 115 | c |
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| 116 | C EXTENSION OF THE USN DATABASE TO POCEED COMPUTATIONS AT |
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| 117 | C BOUNDARIES: |
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| 118 | c |
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| 119 | DO j=1,jusn |
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| 120 | yusn(j+1)=ydata(j) |
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| 121 | DO i=1,iusn |
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| 122 | zusn(i+iext,j+1)=zdata(i,j) |
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| 123 | xusn(i+iext)=xdata(i) |
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| 124 | ENDDO |
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| 125 | DO i=1,iext |
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| 126 | zusn(i,j+1)=zdata(iusn-iext+i,j) |
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| 127 | xusn(i)=xdata(iusn-iext+i)-2.*xpi |
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| 128 | zusn(iusn+iext+i,j+1)=zdata(i,j) |
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| 129 | xusn(iusn+iext+i)=xdata(i)+2.*xpi |
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| 130 | ENDDO |
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| 131 | ENDDO |
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| 132 | |
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| 133 | yusn(1)=ydata(1)+(ydata(1)-ydata(2)) |
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| 134 | yusn(jusn+2)=ydata(jusn)+(ydata(jusn)-ydata(jusn-1)) |
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| 135 | DO i=1,iusn/2+iext |
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| 136 | zusn(i,1)=zusn(i+iusn/2,2) |
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| 137 | zusn(i+iusn/2+iext,1)=zusn(i,2) |
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| 138 | zusn(i,jusn+2)=zusn(i+iusn/2,jusn+1) |
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| 139 | zusn(i+iusn/2+iext,jusn+2)=zusn(i,jusn+1) |
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| 140 | ENDDO |
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| 141 | c |
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| 142 | c COMPUTE LIMITS OF MODEL GRIDPOINT AREA |
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| 143 | C ( REGULAR GRID) |
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| 144 | c |
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| 145 | a(1) = x(1) - (x(2)-x(1))/2.0 |
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| 146 | b(1) = (x(1)+x(2))/2.0 |
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| 147 | DO i = 2, imar |
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| 148 | a(i) = b(i-1) |
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| 149 | b(i) = (x(i)+x(i+1))/2.0 |
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| 150 | ENDDO |
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| 151 | a(imar+1) = b(imar) |
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| 152 | b(imar+1) = x(imar+1) + (x(imar+1)-x(imar))/2.0 |
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| 153 | |
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| 154 | c(1) = y(1) - (y(2)-y(1))/2.0 |
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| 155 | d(1) = (y(1)+y(2))/2.0 |
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| 156 | DO j = 2, jmar-1 |
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| 157 | c(j) = d(j-1) |
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| 158 | d(j) = (y(j)+y(j+1))/2.0 |
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| 159 | ENDDO |
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| 160 | c(jmar) = d(jmar-1) |
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| 161 | d(jmar) = y(jmar) + (y(jmar)-y(jmar-1))/2.0 |
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| 162 | |
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| 163 | c |
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| 164 | c initialisations: |
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| 165 | c |
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| 166 | |
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| 167 | c write (*,*) "zpic: ",zpic |
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| 168 | |
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| 169 | DO i = 1, imar+1 |
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| 170 | DO j = 1, jmar |
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| 171 | weight(i,j) = 0.0 |
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| 172 | zxtzx(i,j) = 0.0 |
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| 173 | zytzy(i,j) = 0.0 |
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| 174 | zxtzy(i,j) = 0.0 |
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| 175 | ztz(i,j) = 0.0 |
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| 176 | zmea(i,j) = 0.0 |
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| 177 | zpic(i,j) = -1.E+10 |
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| 178 | zval(i,j) = 1.E+10 |
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| 179 | ENDDO |
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| 180 | ENDDO |
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| 181 | c |
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| 182 | c COMPUTE SLOPES CORRELATIONS ON USN GRID |
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| 183 | c |
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| 184 | DO j = 1,jusn+2 |
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| 185 | DO i = 1, iusn+2*iext |
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| 186 | zytzyusn(i,j)=0.0 |
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| 187 | zxtzxusn(i,j)=0.0 |
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| 188 | zxtzyusn(i,j)=0.0 |
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| 189 | ENDDO |
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| 190 | ENDDO |
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| 191 | |
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| 192 | |
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| 193 | DO j = 2,jusn+1 |
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| 194 | zdeltax=zdeltay*cos(yusn(j)) |
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| 195 | DO i = 2, iusn+2*iext-1 |
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| 196 | zytzyusn(i,j)=(zusn(i,j+1)-zusn(i,j-1))**2/zdeltay**2 |
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| 197 | zxtzxusn(i,j)=(zusn(i+1,j)-zusn(i-1,j))**2/zdeltax**2 |
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| 198 | zxtzyusn(i,j)=(zusn(i,j+1)-zusn(i,j-1))/zdeltay |
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| 199 | * *(zusn(i+1,j)-zusn(i-1,j))/zdeltax |
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| 200 | ENDDO |
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| 201 | ENDDO |
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| 202 | c |
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| 203 | c SUMMATION OVER GRIDPOINT AREA |
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| 204 | c |
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| 205 | zleny=xpi/real(jusn)*rad |
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| 206 | xincr=xpi/2./real(jusn) |
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| 207 | DO ii = 1, imar+1 |
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| 208 | DO jj = 1, jmar |
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| 209 | num_tot(ii,jj)=0. |
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| 210 | num_lan(ii,jj)=0. |
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| 211 | c PRINT *,' iteration ii jj:',ii,jj |
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| 212 | DO j = 2,jusn+1 |
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| 213 | c DO j = 3,jusn |
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| 214 | zlenx=zleny*cos(yusn(j)) |
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| 215 | zdeltax=zdeltay*cos(yusn(j)) |
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| 216 | zbordnor=(c(jj)-yusn(j)+xincr)*rad |
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| 217 | zbordsud=(yusn(j)-d(jj)+xincr)*rad |
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| 218 | weighy=AMAX1(0., |
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| 219 | * amin1(zbordnor,zbordsud,zleny)) |
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| 220 | IF(weighy.ne.0)THEN |
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| 221 | DO i = 2, iusn+2*iext-1 |
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| 222 | zbordest=(xusn(i)-a(ii)+xincr)*rad*cos(yusn(j)) |
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| 223 | zbordoue=(b(ii)+xincr-xusn(i))*rad*cos(yusn(j)) |
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| 224 | weighx=AMAX1(0., |
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| 225 | * amin1(zbordest,zbordoue,zlenx)) |
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| 226 | IF(weighx.ne.0)THEN |
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| 227 | num_tot(ii,jj)=num_tot(ii,jj)+1.0 |
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| 228 | if(zusn(i,j).ge.1.)num_lan(ii,jj)=num_lan(ii,jj)+1.0 |
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| 229 | weight(ii,jj)=weight(ii,jj)+weighx*weighy |
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| 230 | zxtzx(ii,jj)=zxtzx(ii,jj)+zxtzxusn(i,j)*weighx*weighy |
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| 231 | zytzy(ii,jj)=zytzy(ii,jj)+zytzyusn(i,j)*weighx*weighy |
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| 232 | zxtzy(ii,jj)=zxtzy(ii,jj)+zxtzyusn(i,j)*weighx*weighy |
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| 233 | ztz(ii,jj) =ztz(ii,jj) +zusn(i,j)*zusn(i,j)*weighx*weighy |
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| 234 | c mean |
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| 235 | zmea(ii,jj) =zmea(ii,jj)+zusn(i,j)*weighx*weighy |
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| 236 | c peacks |
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| 237 | zpic(ii,jj)=amax1(zpic(ii,jj),zusn(i,j)) |
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| 238 | c valleys |
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| 239 | zval(ii,jj)=amin1(zval(ii,jj),zusn(i,j)) |
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| 240 | ENDIF |
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| 241 | ENDDO |
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| 242 | ENDIF |
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| 243 | ENDDO |
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| 244 | ENDDO |
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| 245 | ENDDO |
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| 246 | c |
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| 247 | c COMPUTE PARAMETERS NEEDED BY THE LOTT & MILLER (1997) AND |
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| 248 | C LOTT (1999) SSO SCHEME. |
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| 249 | c |
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| 250 | zllmmea=0. |
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| 251 | zllmstd=0. |
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| 252 | zllmsig=0. |
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| 253 | zllmgam=0. |
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| 254 | zllmpic=0. |
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| 255 | zllmval=0. |
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| 256 | zllmthe=0. |
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| 257 | zminthe=0. |
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| 258 | c print 100,' ' |
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| 259 | c100 format(1X,A1,'II JJ',4X,'H',8X,'SD',8X,'SI',3X,'GA',3X,'TH') |
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| 260 | DO ii = 1, imar+1 |
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| 261 | DO jj = 1, jmar |
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| 262 | IF (weight(ii,jj) .NE. 0.0) THEN |
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| 263 | c Mask |
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| 264 | if(num_lan(ii,jj)/num_tot(ii,jj).ge.0.5)then |
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| 265 | mask(ii,jj)=1 |
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| 266 | else |
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| 267 | mask(ii,jj)=0 |
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| 268 | endif |
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| 269 | c Mean Orography: |
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| 270 | zmea (ii,jj)=zmea (ii,jj)/weight(ii,jj) |
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| 271 | zxtzx(ii,jj)=zxtzx(ii,jj)/weight(ii,jj) |
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| 272 | zytzy(ii,jj)=zytzy(ii,jj)/weight(ii,jj) |
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| 273 | zxtzy(ii,jj)=zxtzy(ii,jj)/weight(ii,jj) |
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| 274 | ztz(ii,jj) =ztz(ii,jj)/weight(ii,jj) |
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| 275 | c Standard deviation: |
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| 276 | zstd(ii,jj)=sqrt(AMAX1(0.,ztz(ii,jj)-zmea(ii,jj)**2)) |
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| 277 | ELSE |
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| 278 | PRINT*, 'probleme,ii,jj=', ii,jj |
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| 279 | ENDIF |
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| 280 | ENDDO |
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| 281 | ENDDO |
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| 282 | |
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| 283 | C CORRECT VALUES OF HORIZONTAL SLOPE NEAR THE POLES: |
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| 284 | |
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| 285 | DO ii = 1, imar+1 |
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| 286 | zxtzx(ii,1)=zxtzx(ii,2) |
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| 287 | zxtzx(ii,jmar)=zxtzx(ii,jmar-1) |
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| 288 | zxtzy(ii,1)=zxtzy(ii,2) |
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| 289 | zxtzy(ii,jmar)=zxtzy(ii,jmar-1) |
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| 290 | zytzy(ii,1)=zytzy(ii,2) |
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| 291 | zytzy(ii,jmar)=zytzy(ii,jmar-1) |
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| 292 | ENDDO |
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| 293 | |
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| 294 | C FILTERS TO SMOOTH OUT FIELDS FOR INPUT INTO SSO SCHEME. |
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| 295 | |
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| 296 | C FIRST FILTER, MOVING AVERAGE OVER 9 POINTS. |
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| 297 | |
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| 298 | CALL MVA9(zmea,iim+1,jjm+1) |
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| 299 | CALL MVA9(zstd,iim+1,jjm+1) |
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| 300 | CALL MVA9(zpic,iim+1,jjm+1) |
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| 301 | CALL MVA9(zval,iim+1,jjm+1) |
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| 302 | CALL MVA9(zxtzx,iim+1,jjm+1) |
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| 303 | CALL MVA9(zxtzy,iim+1,jjm+1) |
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| 304 | CALL MVA9(zytzy,iim+1,jjm+1) |
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| 305 | |
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| 306 | DO ii = 1, imar |
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| 307 | DO jj = 1, jmar |
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| 308 | IF (weight(ii,jj) .NE. 0.0) THEN |
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| 309 | c Coefficients K, L et M: |
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| 310 | xk=(zxtzx(ii,jj)+zytzy(ii,jj))/2. |
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| 311 | xl=(zxtzx(ii,jj)-zytzy(ii,jj))/2. |
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| 312 | xm=zxtzy(ii,jj) |
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| 313 | xp=xk-sqrt(xl**2+xm**2) |
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| 314 | xq=xk+sqrt(xl**2+xm**2) |
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| 315 | xw=1.e-8 |
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| 316 | if(xp.le.xw) xp=0. |
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| 317 | if(xq.le.xw) xq=xw |
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| 318 | if(abs(xm).le.xw) xm=xw*sign(1.,xm) |
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| 319 | c slope: |
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| 320 | zsig(ii,jj)=sqrt(xq)*mask(ii,jj) |
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| 321 | c isotropy: |
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| 322 | zgam(ii,jj)=xp/xq*mask(ii,jj) |
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| 323 | c angle theta: |
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| 324 | zthe(ii,jj)=57.29577951*atan2(xm,xl)/2.*mask(ii,jj) |
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| 325 | zphi(ii,jj)=zmea(ii,jj)*mask(ii,jj) |
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| 326 | zmea(ii,jj)=zmea(ii,jj)*mask(ii,jj) |
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| 327 | zpic(ii,jj)=zpic(ii,jj)*mask(ii,jj) |
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| 328 | zval(ii,jj)=zval(ii,jj)*mask(ii,jj) |
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| 329 | zstd(ii,jj)=zstd(ii,jj)*mask(ii,jj) |
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| 330 | |
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| 331 | c print 101,ii,jj, |
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| 332 | c * zmea(ii,jj),zstd(ii,jj),zsig(ii,jj),zgam(ii,jj), |
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| 333 | c * zthe(ii,jj) |
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| 334 | c101 format(1x,2(1x,i2),2(1x,f7.1),1x,f7.4,2x,f4.2,1x,f5.1) |
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| 335 | ELSE |
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| 336 | c PRINT*, 'probleme,ii,jj=', ii,jj |
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| 337 | ENDIF |
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| 338 | zllmmea=AMAX1(zmea(ii,jj),zllmmea) |
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| 339 | zllmstd=AMAX1(zstd(ii,jj),zllmstd) |
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| 340 | zllmsig=AMAX1(zsig(ii,jj),zllmsig) |
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| 341 | zllmgam=AMAX1(zgam(ii,jj),zllmgam) |
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| 342 | zllmthe=AMAX1(zthe(ii,jj),zllmthe) |
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| 343 | zminthe=amin1(zthe(ii,jj),zminthe) |
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| 344 | zllmpic=AMAX1(zpic(ii,jj),zllmpic) |
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| 345 | zllmval=AMAX1(zval(ii,jj),zllmval) |
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| 346 | ENDDO |
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| 347 | ENDDO |
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| 348 | |
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| 349 | print *,' MEAN ORO:',zllmmea |
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| 350 | print *,' ST. DEV.:',zllmstd |
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| 351 | print *,' PENTE:',zllmsig |
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| 352 | print *,' ANISOTROP:',zllmgam |
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| 353 | print *,' ANGLE:',zminthe,zllmthe |
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| 354 | print *,' pic:',zllmpic |
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| 355 | print *,' val:',zllmval |
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| 356 | |
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| 357 | C |
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| 358 | c gamma and theta a 1. and 0. at poles |
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| 359 | c |
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| 360 | DO jj=1,jmar |
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| 361 | zmea(imar+1,jj)=zmea(1,jj) |
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| 362 | zphi(imar+1,jj)=zphi(1,jj) |
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| 363 | zpic(imar+1,jj)=zpic(1,jj) |
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| 364 | zval(imar+1,jj)=zval(1,jj) |
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| 365 | zstd(imar+1,jj)=zstd(1,jj) |
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| 366 | zsig(imar+1,jj)=zsig(1,jj) |
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| 367 | zgam(imar+1,jj)=zgam(1,jj) |
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| 368 | zthe(imar+1,jj)=zthe(1,jj) |
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| 369 | ENDDO |
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| 370 | |
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| 371 | |
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| 372 | zmeanor=0.0 |
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| 373 | zmeasud=0.0 |
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| 374 | zstdnor=0.0 |
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| 375 | zstdsud=0.0 |
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| 376 | zsignor=0.0 |
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| 377 | zsigsud=0.0 |
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| 378 | zweinor=0.0 |
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| 379 | zweisud=0.0 |
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| 380 | zpicnor=0.0 |
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| 381 | zpicsud=0.0 |
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| 382 | zvalnor=0.0 |
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| 383 | zvalsud=0.0 |
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| 384 | |
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| 385 | DO ii=1,imar |
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| 386 | zweinor=zweinor+ weight(ii, 1) |
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| 387 | zweisud=zweisud+ weight(ii,jmar) |
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| 388 | zmeanor=zmeanor+zmea(ii, 1)*weight(ii, 1) |
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| 389 | zmeasud=zmeasud+zmea(ii,jmar)*weight(ii,jmar) |
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| 390 | zstdnor=zstdnor+zstd(ii, 1)*weight(ii, 1) |
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| 391 | zstdsud=zstdsud+zstd(ii,jmar)*weight(ii,jmar) |
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| 392 | zsignor=zsignor+zsig(ii, 1)*weight(ii, 1) |
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| 393 | zsigsud=zsigsud+zsig(ii,jmar)*weight(ii,jmar) |
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| 394 | zpicnor=zpicnor+zpic(ii, 1)*weight(ii, 1) |
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| 395 | zpicsud=zpicsud+zpic(ii,jmar)*weight(ii,jmar) |
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| 396 | zvalnor=zvalnor+zval(ii, 1)*weight(ii, 1) |
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| 397 | zvalsud=zvalsud+zval(ii,jmar)*weight(ii,jmar) |
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| 398 | ENDDO |
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| 399 | |
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| 400 | DO ii=1,imar+1 |
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| 401 | zmea(ii, 1)=zmeanor/zweinor |
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| 402 | zmea(ii,jmar)=zmeasud/zweisud |
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| 403 | zphi(ii, 1)=zmeanor/zweinor |
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| 404 | zphi(ii,jmar)=zmeasud/zweisud |
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| 405 | zpic(ii, 1)=zpicnor/zweinor |
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| 406 | zpic(ii,jmar)=zpicsud/zweisud |
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| 407 | zval(ii, 1)=zvalnor/zweinor |
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| 408 | zval(ii,jmar)=zvalsud/zweisud |
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| 409 | zstd(ii, 1)=zstdnor/zweinor |
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| 410 | zstd(ii,jmar)=zstdsud/zweisud |
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| 411 | zsig(ii, 1)=zsignor/zweinor |
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| 412 | zsig(ii,jmar)=zsigsud/zweisud |
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| 413 | zgam(ii, 1)=1. |
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| 414 | zgam(ii,jmar)=1. |
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| 415 | zthe(ii, 1)=0. |
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| 416 | zthe(ii,jmar)=0. |
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| 417 | ENDDO |
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| 418 | |
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| 419 | RETURN |
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| 420 | END |
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| 421 | |
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| 422 | SUBROUTINE MVA9(X,IMAR,JMAR) |
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| 423 | |
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| 424 | C MAKE A MOVING AVERAGE OVER 9 GRIDPOINTS OF THE X FIELDS |
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| 425 | |
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| 426 | PARAMETER (ISMo=300,JSMo=200) |
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| 427 | REAL X(IMAR,JMAR),XF(ISMo,JSMo) |
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| 428 | real weight(-1:1,-1:1) |
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| 429 | |
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| 430 | if(imar.gt.ismo) stop'surdimensionner ismo dans mva9 (grid_noro)' |
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| 431 | if(jmar.gt.jsmo) stop'surdimensionner jsmo dans mva9 (grid_noro)' |
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| 432 | |
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| 433 | SUM=0. |
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| 434 | DO IS=-1,1 |
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| 435 | DO JS=-1,1 |
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| 436 | WEIGHT(IS,JS)=1./REAL((1+IS**2)*(1+JS**2)) |
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| 437 | SUM=SUM+WEIGHT(IS,JS) |
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| 438 | ENDDO |
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| 439 | ENDDO |
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| 440 | |
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| 441 | DO IS=-1,1 |
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| 442 | DO JS=-1,1 |
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| 443 | WEIGHT(IS,JS)=WEIGHT(IS,JS)/SUM |
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| 444 | ENDDO |
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| 445 | ENDDO |
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| 446 | |
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| 447 | DO J=2,JMAR-1 |
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| 448 | DO I=2,IMAR-1 |
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| 449 | XF(I,J)=0. |
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| 450 | DO IS=-1,1 |
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| 451 | DO JS=-1,1 |
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| 452 | XF(I,J)=XF(I,J)+X(I+IS,J+JS)*WEIGHT(IS,JS) |
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| 453 | ENDDO |
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| 454 | ENDDO |
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| 455 | ENDDO |
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| 456 | ENDDO |
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| 457 | |
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| 458 | DO J=2,JMAR-1 |
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| 459 | XF(1,J)=0. |
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| 460 | IS=IMAR-1 |
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| 461 | DO JS=-1,1 |
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| 462 | XF(1,J)=XF(1,J)+X(IS,J+JS)*WEIGHT(-1,JS) |
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| 463 | ENDDO |
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| 464 | DO IS=0,1 |
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| 465 | DO JS=-1,1 |
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| 466 | XF(1,J)=XF(1,J)+X(1+IS,J+JS)*WEIGHT(IS,JS) |
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| 467 | ENDDO |
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| 468 | ENDDO |
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| 469 | XF(IMAR,J)=XF(1,J) |
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| 470 | ENDDO |
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| 471 | |
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| 472 | DO I=1,IMAR |
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| 473 | XF(I,1)=XF(I,2) |
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| 474 | XF(I,JMAR)=XF(I,JMAR-1) |
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| 475 | ENDDO |
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| 476 | |
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| 477 | DO I=1,IMAR |
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| 478 | DO J=1,JMAR |
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| 479 | X(I,J)=XF(I,J) |
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| 480 | ENDDO |
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| 481 | ENDDO |
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| 482 | |
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| 483 | RETURN |
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| 484 | END |
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| 485 | |
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| 486 | |
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| 487 | |
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