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/float(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/float(jusn)*rad |
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206 | xincr=xpi/2./float(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./FLOAT((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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