| 1 | MODULE agrif_modutil |
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| 2 | ! |
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| 3 | CONTAINS |
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| 4 | ! |
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| 5 | !************************************************************************ |
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| 6 | ! * |
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| 7 | ! MODULE AGRIF_MODUTIL * |
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| 8 | ! * |
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| 9 | ! module containing subroutine used for : * |
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| 10 | ! - unrolling 2D arrays to 1D arrays (required for SCRIP package use) * |
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| 11 | ! - convert 1D arrays to 2D arrays (required for SCRIP package use) * |
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| 12 | ! - remapping process (use SCRIP remapping matrix) * |
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| 13 | ! * |
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| 14 | !************************************************************************ |
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| 15 | ! |
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| 16 | !*********************************************************** |
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| 17 | SUBROUTINE ssort (x, nb) |
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| 18 | !*********************************************************** |
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| 19 | ! |
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| 20 | IMPLICIT NONE |
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| 21 | |
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| 22 | INTEGER :: nb |
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| 23 | REAL*8, DIMENSION(:) :: x |
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| 24 | REAL*8 :: temp |
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| 25 | INTEGER ji,jj,jmax,itemp |
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| 26 | ! |
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| 27 | jmax=nb-1 |
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| 28 | ! |
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| 29 | ! |
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| 30 | DO ji=1,nb-1 |
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| 31 | temp=HUGE(1) |
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| 32 | |
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| 33 | DO jj=1,jmax |
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| 34 | |
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| 35 | IF(X(jj).LE.X(jj+1)) THEN |
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| 36 | temp=X(jj) |
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| 37 | X(jj)=X(jj+1) |
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| 38 | X(jj+1)=temp |
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| 39 | ENDIF |
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| 40 | |
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| 41 | ENDDO |
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| 42 | |
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| 43 | IF(temp.EQ.HUGE(1)) RETURN |
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| 44 | jmax=jmax-1 |
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| 45 | ENDDO |
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| 46 | |
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| 47 | RETURN |
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| 48 | END SUBROUTINE ssort |
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| 49 | ! |
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| 50 | !*********************************************************** |
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| 51 | ! --- quicksort --- |
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| 52 | ! Author: t-nissie |
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| 53 | ! License: GPLv3 |
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| 54 | ! Gist: https://gist.github.com/t-nissie/479f0f16966925fa29ea |
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| 55 | !*********************************************************** |
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| 56 | RECURSIVE SUBROUTINE quicksort(var, first, last) |
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| 57 | IMPLICIT NONE |
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| 58 | |
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| 59 | REAL*8, DIMENSION(:), INTENT(inout) :: var |
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| 60 | INTEGER, INTENT(in) :: first, last |
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| 61 | REAL*8 :: x, t |
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| 62 | INTEGER :: ji, jj |
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| 63 | |
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| 64 | x = var( (first+last) / 2 ) |
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| 65 | ji = first |
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| 66 | jj = last |
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| 67 | DO |
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| 68 | DO WHILE (var(ji) < x) |
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| 69 | ji=ji+1 |
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| 70 | END DO |
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| 71 | DO WHILE (x < var(jj)) |
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| 72 | jj=jj-1 |
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| 73 | END DO |
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| 74 | IF (ji >= jj) EXIT |
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| 75 | t = var(ji); var(ji) = var(jj); var(jj) = t |
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| 76 | ji=ji+1 |
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| 77 | jj=jj-1 |
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| 78 | END DO |
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| 79 | IF (first < ji-1) CALL quicksort(var, first, ji-1) |
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| 80 | IF (jj+1 < last) CALL quicksort(var, jj+1, last) |
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| 81 | END SUBROUTINE quicksort |
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| 82 | |
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| 83 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 84 | !************************************************************************ |
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| 85 | ! SUBROUTINE 1Dto2D |
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| 86 | !************************************************************************ |
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| 87 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 88 | |
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| 89 | SUBROUTINE tab1Dto2D(tab1D,tab2D,nx,ny) |
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| 90 | ! |
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| 91 | IMPLICIT NONE |
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| 92 | ! |
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| 93 | REAL*8,DIMENSION(:) :: tab1D |
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| 94 | REAL*8,DIMENSION(:,:) :: tab2D |
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| 95 | ! |
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| 96 | INTEGER :: xpos,ypos |
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| 97 | INTEGER :: nx,ny |
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| 98 | INTEGER :: i |
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| 99 | ! |
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| 100 | xpos=0 |
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| 101 | ypos=1 |
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| 102 | ! |
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| 103 | DO i=1,nx*ny |
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| 104 | xpos=xpos+1 |
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| 105 | IF(xpos.GT.nx) THEN |
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| 106 | xpos=1 |
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| 107 | ypos=ypos+1 |
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| 108 | ENDIF |
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| 109 | tab2D(ypos,xpos)=tab1D(i) |
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| 110 | END DO |
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| 111 | ! |
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| 112 | END SUBROUTINE tab1Dto2D |
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| 113 | |
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| 114 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 115 | !************************************************************************ |
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| 116 | ! SUBROUTINE tab2Dto1D |
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| 117 | !************************************************************************ |
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| 118 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 119 | |
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| 120 | SUBROUTINE tab2Dto1D(tab2D,tab1D) |
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| 121 | ! |
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| 122 | IMPLICIT NONE |
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| 123 | ! |
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| 124 | REAL*8,DIMENSION(:,:) :: tab2D |
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| 125 | REAL*8,DIMENSION(:) :: tab1D |
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| 126 | ! |
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| 127 | INTEGER :: xpos,ypos |
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| 128 | INTEGER :: nx,ny |
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| 129 | INTEGER :: i |
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| 130 | ! |
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| 131 | nx = SIZE(tab2D,2) |
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| 132 | ny = SIZE(tab2D,1) |
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| 133 | ! |
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| 134 | xpos = 0 |
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| 135 | ypos = 1 |
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| 136 | DO i = 1,nx*ny |
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| 137 | xpos = xpos + 1 |
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| 138 | IF(xpos.GT.nx) THEN |
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| 139 | xpos = 1 |
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| 140 | ypos = ypos + 1 |
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| 141 | END IF |
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| 142 | tab1D(i) = tab2D(ypos,xpos) |
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| 143 | END DO |
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| 144 | ! |
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| 145 | END SUBROUTINE tab2Dto1D |
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| 146 | |
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| 147 | |
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| 148 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 149 | !************************************************************************ |
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| 150 | ! SUBROUTINE tab2Dto1D logical |
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| 151 | !************************************************************************ |
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| 152 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 153 | |
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| 154 | SUBROUTINE logtab2Dto1D(tab2D,tab1D) |
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| 155 | ! |
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| 156 | IMPLICIT NONE |
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| 157 | ! |
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| 158 | LOGICAL,DIMENSION(:,:) :: tab2D |
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| 159 | LOGICAL,DIMENSION(:) :: tab1D |
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| 160 | ! |
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| 161 | INTEGER :: xpos,ypos |
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| 162 | INTEGER :: nx,ny |
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| 163 | INTEGER :: i |
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| 164 | ! |
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| 165 | nx = SIZE(tab2D,2) |
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| 166 | ny = SIZE(tab2D,1) |
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| 167 | ! |
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| 168 | xpos = 0 |
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| 169 | ypos = 1 |
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| 170 | DO i = 1,nx*ny |
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| 171 | xpos = xpos + 1 |
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| 172 | IF(xpos.GT.nx) THEN |
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| 173 | xpos = 1 |
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| 174 | ypos = ypos + 1 |
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| 175 | END IF |
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| 176 | tab1D(i) = tab2D(ypos,xpos) |
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| 177 | END DO |
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| 178 | ! |
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| 179 | END SUBROUTINE logtab2Dto1D |
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| 180 | ! |
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| 181 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 182 | !************************************************************************ |
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| 183 | ! SUBROUTINE 1Dto2D |
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| 184 | !************************************************************************ |
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| 185 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 186 | |
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| 187 | SUBROUTINE logtab1Dto2D(tab1D,tab2D,nx,ny) |
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| 188 | ! |
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| 189 | IMPLICIT NONE |
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| 190 | ! |
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| 191 | LOGICAL,DIMENSION(:) :: tab1D |
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| 192 | LOGICAL,DIMENSION(:,:) :: tab2D |
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| 193 | ! |
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| 194 | INTEGER :: xpos,ypos |
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| 195 | INTEGER :: nx,ny |
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| 196 | INTEGER :: i |
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| 197 | ! |
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| 198 | xpos=0 |
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| 199 | ypos=1 |
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| 200 | ! |
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| 201 | DO i=1,nx*ny |
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| 202 | xpos=xpos+1 |
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| 203 | IF(xpos.GT.nx) THEN |
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| 204 | xpos=1 |
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| 205 | ypos=ypos+1 |
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| 206 | ENDIF |
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| 207 | tab2D(ypos,xpos)=tab1D(i) |
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| 208 | END DO |
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| 209 | ! |
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| 210 | END SUBROUTINE logtab1Dto2D |
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| 211 | |
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| 212 | !************************************************************** |
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| 213 | ! subroutine make_remap |
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| 214 | !************************************************************** |
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| 215 | ! |
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| 216 | SUBROUTINE make_remap(tabin,tabout,nxfin,nyfin,matrix,src_add,dst_add) |
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| 217 | ! |
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| 218 | IMPLICIT NONE |
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| 219 | ! |
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| 220 | REAL*8, DIMENSION(:,:) :: tabin |
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| 221 | REAL*8, DIMENSION(:,:) :: tabout |
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| 222 | REAL*8, POINTER, DIMENSION(:,:) :: tabtemp |
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| 223 | INTEGER,DIMENSION(:) :: src_add,dst_add |
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| 224 | INTEGER :: nxfin,nyfin |
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| 225 | REAL*8, POINTER, DIMENSION(:) :: var1D,var_interp1D |
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| 226 | REAL*8,DIMENSION(:,:) :: matrix |
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| 227 | INTEGER :: num_links,i |
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| 228 | ! |
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| 229 | ALLOCATE(var1D(SIZE(tabin,1)*SIZE(tabin,2))) |
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| 230 | CALL tab2Dto1D(tabin,var1D) |
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| 231 | ! |
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| 232 | ALLOCATE(var_interp1D(nxfin*nyfin)) |
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| 233 | var_interp1D = 0.0 |
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| 234 | num_links = SIZE(dst_add) |
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| 235 | ! |
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| 236 | DO i = 1,num_links |
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| 237 | var_interp1D(dst_add(i)) = var_interp1D(dst_add(i)) & |
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| 238 | + matrix(1,i)*var1D(src_add(i)) |
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| 239 | END DO |
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| 240 | ! |
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| 241 | ALLOCATE(tabtemp(SIZE(tabout,1),SIZE(tabout,2))) |
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| 242 | ! |
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| 243 | CALL tab1Dto2D(var_interp1D,tabtemp,nyfin,nxfin) |
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| 244 | ! |
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| 245 | tabout = tabtemp |
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| 246 | ! |
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| 247 | DEALLOCATE(var_interp1D,var1D,tabtemp) |
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| 248 | ! |
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| 249 | END SUBROUTINE make_remap |
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| 250 | ! |
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| 251 | ! |
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| 252 | !************************************************************** |
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| 253 | ! end subroutine make_remap |
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| 254 | !************************************************************** |
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| 255 | ! |
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| 256 | ! |
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| 257 | !************************************************************** |
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| 258 | ! subroutine make_bicubic_remap |
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| 259 | !************************************************************** |
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| 260 | ! |
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| 261 | SUBROUTINE make_bicubic_remap(tabin,masksrc,tabout,nxfin,nyfin,matrix,src_add,dst_add) |
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| 262 | ! |
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| 263 | IMPLICIT NONE |
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| 264 | ! |
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| 265 | REAL*8, DIMENSION(:,:) :: tabin |
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| 266 | LOGICAL, DIMENSION(:,:) :: masksrc |
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| 267 | LOGICAL, POINTER, DIMENSION(:) :: grid1_mask |
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| 268 | REAL*8, DIMENSION(:,:) :: tabout |
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| 269 | INTEGER,DIMENSION(:) :: src_add,dst_add |
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| 270 | INTEGER :: nxfin,nyfin |
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| 271 | REAL*8, POINTER, DIMENSION(:) :: var1D,var_interp1D,gradi,gradj,gradij,deriv1,deriv2 |
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| 272 | REAL*8,DIMENSION(:,:) :: matrix |
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| 273 | INTEGER :: num_links,i,j,nx,ny,n,ip1,im1,jp1,jm1 |
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| 274 | INTEGER :: in_x,is,ie,iw,ine,inw,ise,isw |
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| 275 | REAL*8 :: delew,delns |
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| 276 | ! |
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| 277 | nx = SIZE(tabin,1) |
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| 278 | ny = SIZE(tabin,2) |
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| 279 | ALLOCATE(gradi(nx*ny),gradj(nx*ny),gradij(nx*ny),deriv1(nx*ny),deriv2(nx*ny)) |
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| 280 | ALLOCATE(var1D(nx*ny),grid1_mask(nx*ny)) |
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| 281 | ! |
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| 282 | CALL tab2Dto1D(tabin,var1D) |
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| 283 | CALL logtab2Dto1D(masksrc,grid1_mask) |
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| 284 | ! |
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| 285 | gradi = 0.0 |
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| 286 | gradj = 0.0 |
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| 287 | gradij = 0.0 |
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| 288 | ! |
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| 289 | DO n = 1,nx*ny |
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| 290 | |
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| 291 | IF( grid1_mask(n) ) THEN |
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| 292 | ! |
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| 293 | delew = 0.5 |
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| 294 | delns = 0.5 |
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| 295 | |
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| 296 | j = (n-1)/ny + 1 |
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| 297 | i = n - (j-1)*ny |
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| 298 | ! |
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| 299 | ip1 = i+1 |
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| 300 | im1 = i-1 |
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| 301 | jp1 = j+1 |
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| 302 | jm1 = j-1 |
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| 303 | ! |
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| 304 | IF (ip1 > ny) ip1 = ip1 - ny |
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| 305 | |
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| 306 | IF (im1 < 1 ) im1 = ny |
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| 307 | |
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| 308 | IF (jp1 > nx) THEN |
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| 309 | jp1 = j |
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| 310 | delns = 1. |
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| 311 | ENDIF |
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| 312 | |
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| 313 | IF (jm1 < 1 ) THEN |
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| 314 | jm1 = j |
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| 315 | delns = 1. |
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| 316 | ENDIF |
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| 317 | ! |
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| 318 | in_x = (jp1-1)*ny + i |
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| 319 | is = (jm1-1)*ny + i |
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| 320 | ie = (j -1)*ny + ip1 |
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| 321 | iw = (j -1)*ny + im1 |
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| 322 | ! |
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| 323 | ine = (jp1-1)*ny + ip1 |
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| 324 | inw = (jp1-1)*ny + im1 |
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| 325 | ise = (jm1-1)*ny + ip1 |
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| 326 | isw = (jm1-1)*ny + im1 |
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| 327 | ! |
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| 328 | !*** compute i-gradient |
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| 329 | |
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| 330 | IF (.NOT. grid1_mask(ie)) THEN |
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| 331 | ie = n |
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| 332 | delew = 1. |
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| 333 | ENDIF |
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| 334 | ! |
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| 335 | IF (.NOT. grid1_mask(iw)) THEN |
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| 336 | iw = n |
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| 337 | delew = 1. |
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| 338 | ENDIF |
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| 339 | ! |
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| 340 | gradi(n) = delew*(var1D(ie) - var1D(iw)) |
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| 341 | ! |
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| 342 | !*** compute j-gradient |
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| 343 | |
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| 344 | IF (.NOT. grid1_mask(in_x)) THEN |
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| 345 | in_x = n |
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| 346 | delns = 1. |
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| 347 | ENDIF |
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| 348 | ! |
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| 349 | IF (.NOT. grid1_mask(is)) THEN |
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| 350 | is = n |
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| 351 | delns = 1. |
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| 352 | ENDIF |
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| 353 | ! |
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| 354 | gradj(n) = delns*(var1D(in_x) - var1D(is)) |
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| 355 | ! |
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| 356 | !*** compute ij-gradient |
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| 357 | |
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| 358 | delew = 0.5 |
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| 359 | |
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| 360 | IF (jp1 == j .OR. jm1 == j) THEN |
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| 361 | delns = 1. |
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| 362 | ELSE |
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| 363 | delns = 0.5 |
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| 364 | ENDIF |
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| 365 | ! |
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| 366 | IF (.NOT. grid1_mask(ine)) THEN |
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| 367 | IF (in_x /= n) THEN |
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| 368 | ine = in_x |
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| 369 | delew = 1. |
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| 370 | ELSE IF (ie /= n) THEN |
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| 371 | ine = ie |
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| 372 | inw = iw |
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| 373 | IF (inw == n) delew = 1. |
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| 374 | delns = 1. |
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| 375 | ELSE |
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| 376 | ine = n |
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| 377 | inw = iw |
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| 378 | delew = 1 |
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| 379 | delns = 1 |
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| 380 | ENDIF |
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| 381 | ENDIF |
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| 382 | ! |
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| 383 | IF (.NOT. grid1_mask(inw)) THEN |
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| 384 | IF (in_x /= n) THEN |
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| 385 | inw = in_x |
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| 386 | delew = 1. |
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| 387 | ELSE IF (iw /= n) THEN |
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| 388 | inw = iw |
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| 389 | ine = ie |
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| 390 | IF (ie == n) delew = 1. |
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| 391 | delns = 1. |
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| 392 | ELSE |
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| 393 | inw = n |
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| 394 | ine = ie |
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| 395 | delew = 1. |
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| 396 | delns = 1. |
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| 397 | ENDIF |
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| 398 | ENDIF |
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| 399 | ! |
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| 400 | deriv1(n) = delew*(var1D(ine)-var1D(inw)) |
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| 401 | ! |
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| 402 | IF (.NOT. grid1_mask(ise)) THEN |
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| 403 | IF (is /= n) THEN |
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| 404 | ise = is |
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| 405 | delew = 1. |
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| 406 | ELSE IF (ie /= n) THEN |
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| 407 | ise = ie |
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| 408 | isw = iw |
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| 409 | IF (isw == n) delew = 1. |
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| 410 | delns = 1. |
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| 411 | ELSE |
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| 412 | ise = n |
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| 413 | isw = iw |
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| 414 | delew = 1. |
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| 415 | delns = 1. |
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| 416 | ENDIF |
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| 417 | ENDIF |
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| 418 | ! |
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| 419 | IF (.NOT. grid1_mask(isw)) THEN |
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| 420 | IF (is /= n) THEN |
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| 421 | isw = is |
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| 422 | delew = 1. |
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| 423 | ELSE IF (iw /= n) THEN |
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| 424 | isw = iw |
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| 425 | ise = ie |
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| 426 | IF (ie == n) delew = 1. |
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| 427 | delns = 1. |
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| 428 | ELSE |
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| 429 | isw = n |
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| 430 | ise = ie |
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| 431 | delew = 1. |
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| 432 | delns = 1. |
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| 433 | ENDIF |
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| 434 | ENDIF |
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| 435 | |
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| 436 | deriv2(n) = delew*(var1D(ise) - var1D(isw)) |
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| 437 | gradij(n) = delns*(deriv1(n) - deriv2(n)) |
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| 438 | ENDIF |
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| 439 | END DO |
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| 440 | ! |
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| 441 | DEALLOCATE(deriv1,deriv2,grid1_mask) |
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| 442 | |
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| 443 | ! |
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| 444 | ALLOCATE(var_interp1D(nxfin*nyfin)) |
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| 445 | var_interp1D = 0.0 |
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| 446 | num_links = SIZE(dst_add) |
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| 447 | ! |
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| 448 | DO i = 1,num_links |
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| 449 | ! |
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| 450 | var_interp1D(dst_add(i)) = var_interp1D(dst_add(i)) + & |
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| 451 | matrix(1,i)*var1D(src_add(i)) + & |
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| 452 | matrix(2,i)*gradi(src_add(i)) + & |
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| 453 | matrix(3,i)*gradj(src_add(i)) + & |
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| 454 | matrix(4,i)*gradij(src_add(i)) |
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| 455 | END DO |
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| 456 | ! |
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| 457 | DEALLOCATE(gradi,gradj,gradij,var1D) |
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| 458 | ! |
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| 459 | CALL tab1Dto2D(var_interp1D,tabout,nyfin,nxfin) |
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| 460 | ! |
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| 461 | DEALLOCATE(var_interp1D) |
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| 462 | ! |
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| 463 | END SUBROUTINE make_bicubic_remap |
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| 464 | ! |
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| 465 | ! |
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| 466 | !************************************************************** |
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| 467 | ! end subroutine make_bicubic_remap |
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| 468 | !************************************************************** |
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| 469 | ! |
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| 470 | ! |
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| 471 | END MODULE agrif_modutil |
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