| 1 | MODULE module_init_utilities |
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| 2 | |
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| 3 | CONTAINS |
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| 4 | |
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| 5 | real function interp_0( v_in, & |
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| 6 | z_in, z_out, nz_in ) |
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| 7 | implicit none |
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| 8 | integer nz_in, nz_out |
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| 9 | real v_in(nz_in), z_in(nz_in) |
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| 10 | real z_out |
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| 11 | |
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| 12 | integer kp, k, im, ip |
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| 13 | logical interp, increasing_z |
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| 14 | real height, w1, w2 |
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| 15 | logical debug |
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| 16 | parameter ( debug = .false. ) |
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| 17 | |
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| 18 | ! does vertical coordinate increase or decrease with increasing k? |
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| 19 | ! set offset appropriately |
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| 20 | |
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| 21 | height = z_out |
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| 22 | |
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| 23 | if(debug) write(6,*) ' height in interp_0 ',height |
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| 24 | |
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| 25 | if (z_in(nz_in) .gt. z_in(1)) then |
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| 26 | |
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| 27 | if(debug) write(6,*) ' monotonic increase in z in interp_0 ' |
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| 28 | IF (height > z_in(nz_in)) then |
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| 29 | if(debug) write(6,*) ' point 1 in interp_0 ' |
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| 30 | w2 = (z_in(nz_in)-height)/(z_in(nz_in)-z_in(nz_in-1)) |
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| 31 | w1 = 1.-w2 |
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| 32 | interp_0 = w1*v_in(nz_in) + w2*v_in(nz_in-1) |
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| 33 | ELSE IF (height < z_in(1)) then |
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| 34 | if(debug) write(6,*) ' point 2 in interp_0 ' |
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| 35 | w2 = (z_in(2)-height)/(z_in(2)-z_in(1)) |
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| 36 | w1 = 1.-w2 |
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| 37 | interp_0 = w1*v_in(2) + w2*v_in(1) |
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| 38 | ELSE |
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| 39 | if(debug) write(6,*) ' point 3 in interp_0 ' |
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| 40 | interp = .false. |
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| 41 | kp = nz_in |
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| 42 | DO WHILE ( (interp .eqv. .false.) .and. (kp .ge. 2) ) |
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| 43 | IF( ((z_in(kp) .ge. height) .and. & |
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| 44 | (z_in(kp-1) .le. height)) ) THEN |
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| 45 | w2 = (height-z_in(kp))/(z_in(kp-1)-z_in(kp)) |
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| 46 | w1 = 1.-w2 |
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| 47 | interp_0 = w1*v_in(kp) + w2*v_in(kp-1) |
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| 48 | if(debug) write(6,*) ' interp data, kp, w1, w2 ',kp, w1, w2 |
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| 49 | if(debug) write(6,*) ' interp data, v_in(kp), v_in(kp-1), interp_0 ', & |
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| 50 | v_in(kp), v_in(kp-1), interp_0 |
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| 51 | interp = .true. |
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| 52 | END IF |
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| 53 | kp = kp-1 |
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| 54 | ENDDO |
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| 55 | ENDIF |
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| 56 | |
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| 57 | else |
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| 58 | |
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| 59 | if(debug) write(6,*) ' monotonic decrease in z in interp_0 ' |
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| 60 | |
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| 61 | IF (height < z_in(nz_in)) then |
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| 62 | if(debug) write(6,*) ' point 1 in interp_0 ' |
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| 63 | w2 = (z_in(nz_in)-height)/(z_in(nz_in)-z_in(nz_in-1)) |
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| 64 | w1 = 1.-w2 |
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| 65 | interp_0 = w1*v_in(nz_in) + w2*v_in(nz_in-1) |
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| 66 | ELSE IF (height > z_in(1)) then |
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| 67 | if(debug) write(6,*) ' point 2 in interp_0 ' |
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| 68 | w2 = (z_in(2)-height)/(z_in(2)-z_in(1)) |
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| 69 | w1 = 1.-w2 |
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| 70 | interp_0 = w1*v_in(2) + w2*v_in(1) |
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| 71 | ELSE |
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| 72 | if(debug) write(6,*) ' point 3 in interp_0 ' |
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| 73 | interp = .false. |
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| 74 | kp = nz_in |
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| 75 | height = z_out |
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| 76 | DO WHILE ( (interp .eqv. .false.) .and. (kp .ge. 2) ) |
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| 77 | IF( ((z_in(kp) .le. height) .and. & |
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| 78 | (z_in(kp-1) .ge. height)) ) THEN |
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| 79 | w2 = (height-z_in(kp))/(z_in(kp-1)-z_in(kp)) |
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| 80 | w1 = 1.-w2 |
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| 81 | interp_0 = w1*v_in(kp) + w2*v_in(kp-1) |
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| 82 | interp = .true. |
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| 83 | END IF |
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| 84 | kp = kp-1 |
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| 85 | ENDDO |
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| 86 | ENDIF |
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| 87 | |
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| 88 | end if |
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| 89 | |
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| 90 | return |
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| 91 | END FUNCTION interp_0 |
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| 92 | |
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| 93 | real function interp_0_log( v_in, & |
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| 94 | p_in, p_out, nz_in ) |
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| 95 | implicit none |
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| 96 | integer nz_in, nz_out |
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| 97 | real v_in(nz_in), p_in(nz_in) |
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| 98 | real p_out |
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| 99 | |
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| 100 | integer kp, k, im, ip |
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| 101 | logical interp, increasing_z |
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| 102 | real height, w1, w2 |
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| 103 | logical debug |
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| 104 | parameter ( debug = .false. ) |
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| 105 | |
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| 106 | ! does vertical coordinate increase or decrease with increasing k? |
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| 107 | ! set offset appropriately |
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| 108 | |
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| 109 | height = p_out |
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| 110 | |
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| 111 | if(debug) write(6,*) ' height in interp_0 ',height |
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| 112 | |
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| 113 | if (p_in(nz_in) .gt. p_in(1)) then |
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| 114 | |
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| 115 | if(debug) write(6,*) ' monotonic increase in z in interp_0 ' |
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| 116 | IF (height > p_in(nz_in)) then |
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| 117 | if(debug) write(6,*) ' point 1 in interp_0 ' |
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| 118 | w2 = log(p_in(nz_in)/height)/log(p_in(nz_in)/p_in(nz_in-1)) |
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| 119 | w1 = 1.-w2 |
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| 120 | interp_0_log = w1*v_in(nz_in) + w2*v_in(nz_in-1) |
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| 121 | ELSE IF (height < p_in(1)) then |
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| 122 | if(debug) write(6,*) ' point 2 in interp_0 ' |
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| 123 | w2 = log(p_in(2)/height)/log(p_in(2)/p_in(1)) |
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| 124 | w1 = 1.-w2 |
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| 125 | interp_0_log = w1*v_in(2) + w2*v_in(1) |
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| 126 | ELSE |
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| 127 | if(debug) write(6,*) ' point 3 in interp_0 ' |
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| 128 | interp = .false. |
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| 129 | kp = nz_in |
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| 130 | DO WHILE ( (interp .eqv. .false.) .and. (kp .ge. 2) ) |
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| 131 | IF( ((p_in(kp) .ge. height) .and. & |
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| 132 | (p_in(kp-1) .le. height)) ) THEN |
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| 133 | w2 = log(height/p_in(kp))/log(p_in(kp-1)/p_in(kp)) |
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| 134 | w1 = 1.-w2 |
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| 135 | interp_0_log = w1*v_in(kp) + w2*v_in(kp-1) |
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| 136 | if(debug) write(6,*) ' interp data, kp, w1, w2 ',kp, w1, w2 |
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| 137 | if(debug) write(6,*) ' interp data, v_in(kp), v_in(kp-1), interp_0_p ', & |
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| 138 | v_in(kp), v_in(kp-1), interp_0_log |
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| 139 | interp = .true. |
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| 140 | END IF |
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| 141 | kp = kp-1 |
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| 142 | ENDDO |
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| 143 | ENDIF |
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| 144 | |
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| 145 | else |
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| 146 | |
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| 147 | if(debug) write(6,*) ' monotonic decrease in z in interp_0 ' |
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| 148 | |
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| 149 | IF (height < p_in(nz_in)) then |
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| 150 | if(debug) write(6,*) ' point 1 in interp_0 ' |
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| 151 | w2 = log(p_in(nz_in)/height)/log(p_in(nz_in)/p_in(nz_in-1)) |
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| 152 | w1 = 1.-w2 |
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| 153 | interp_0_log = w1*v_in(nz_in) + w2*v_in(nz_in-1) |
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| 154 | ELSE IF (height > p_in(1)) then |
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| 155 | if(debug) write(6,*) ' point 2 in interp_0 ' |
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| 156 | w2 = log(p_in(2)/height)/log(p_in(2)/p_in(1)) |
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| 157 | w1 = 1.-w2 |
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| 158 | interp_0_log = w1*v_in(2) + w2*v_in(1) |
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| 159 | ELSE |
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| 160 | if(debug) write(6,*) ' point 3 in interp_0 ' |
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| 161 | interp = .false. |
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| 162 | kp = nz_in |
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| 163 | height = p_out |
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| 164 | DO WHILE ( (interp .eqv. .false.) .and. (kp .ge. 2) ) |
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| 165 | IF( ((p_in(kp) .le. height) .and. & |
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| 166 | (p_in(kp-1) .ge. height)) ) THEN |
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| 167 | w2 = log(height/p_in(kp))/log(p_in(kp-1)/p_in(kp)) |
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| 168 | w1 = 1.-w2 |
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| 169 | interp_0_log = w1*v_in(kp) + w2*v_in(kp-1) |
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| 170 | interp = .true. |
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| 171 | END IF |
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| 172 | kp = kp-1 |
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| 173 | ENDDO |
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| 174 | ENDIF |
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| 175 | |
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| 176 | end if |
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| 177 | |
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| 178 | return |
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| 179 | END FUNCTION interp_0_log |
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| 180 | |
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| 181 | real function interp_0_log2( v_in, & |
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| 182 | p_in, p_out, nz_in ) |
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| 183 | implicit none |
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| 184 | integer nz_in, nz_out |
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| 185 | real*8 v_in(nz_in) |
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| 186 | real*8 p_in(nz_in) |
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| 187 | real*8 p_out |
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| 188 | |
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| 189 | integer kp, k, im, ip |
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| 190 | logical interp, increasing_z |
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| 191 | real height, w1, w2 |
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| 192 | logical debug |
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| 193 | parameter ( debug = .false. ) |
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| 194 | |
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| 195 | ! does vertical coordinate increase or decrease with increasing k? |
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| 196 | ! set offset appropriately |
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| 197 | |
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| 198 | height = p_out |
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| 199 | |
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| 200 | if(debug) write(6,*) ' height in interp_0 ',height |
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| 201 | |
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| 202 | if (p_in(nz_in) .gt. p_in(1)) then |
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| 203 | |
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| 204 | if(debug) write(6,*) ' monotonic increase in z in interp_0 ' |
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| 205 | IF (height > p_in(nz_in)) then |
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| 206 | if(debug) write(6,*) ' point 1 in interp_0 ' |
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| 207 | w2 = log(p_in(nz_in)/height)/log(p_in(nz_in)/p_in(nz_in-1)) |
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| 208 | w1 = 1.-w2 |
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| 209 | interp_0_log2 = w1*v_in(nz_in) + w2*v_in(nz_in-1) |
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| 210 | ELSE IF (height < p_in(1)) then |
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| 211 | if(debug) write(6,*) ' point 2 in interp_0 ' |
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| 212 | w2 = log(p_in(2)/height)/log(p_in(2)/p_in(1)) |
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| 213 | w1 = 1.-w2 |
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| 214 | interp_0_log2 = w1*v_in(2) + w2*v_in(1) |
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| 215 | ELSE |
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| 216 | if(debug) write(6,*) ' point 3 in interp_0 ' |
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| 217 | interp = .false. |
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| 218 | kp = nz_in |
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| 219 | DO WHILE ( (interp .eqv. .false.) .and. (kp .ge. 2) ) |
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| 220 | IF( ((p_in(kp) .ge. height) .and. & |
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| 221 | (p_in(kp-1) .le. height)) ) THEN |
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| 222 | w2 = log(height/p_in(kp))/log(p_in(kp-1)/p_in(kp)) |
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| 223 | w1 = 1.-w2 |
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| 224 | interp_0_log2 = w1*v_in(kp) + w2*v_in(kp-1) |
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| 225 | if(debug) write(6,*) ' interp data, kp, w1, w2 ',kp, w1, w2 |
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| 226 | if(debug) write(6,*) ' interp data, v_in(kp), v_in(kp-1), interp_0_p', & |
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| 227 | v_in(kp), v_in(kp-1), interp_0_log2 |
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| 228 | interp = .true. |
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| 229 | END IF |
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| 230 | kp = kp-1 |
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| 231 | ENDDO |
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| 232 | ENDIF |
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| 233 | |
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| 234 | else |
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| 235 | |
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| 236 | if(debug) write(6,*) ' monotonic decrease in z in interp_0 ' |
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| 237 | |
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| 238 | IF (height < p_in(nz_in)) then |
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| 239 | if(debug) write(6,*) ' point 1 in interp_0 ' |
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| 240 | w2 = log(p_in(nz_in)/height)/log(p_in(nz_in)/p_in(nz_in-1)) |
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| 241 | w1 = 1.-w2 |
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| 242 | interp_0_log2 = w1*v_in(nz_in) + w2*v_in(nz_in-1) |
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| 243 | ELSE IF (height > p_in(1)) then |
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| 244 | if(debug) write(6,*) ' point 2 in interp_0 ' |
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| 245 | w2 = log(p_in(2)/height)/log(p_in(2)/p_in(1)) |
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| 246 | w1 = 1.-w2 |
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| 247 | interp_0_log2 = w1*v_in(2) + w2*v_in(1) |
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| 248 | ELSE |
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| 249 | if(debug) write(6,*) ' point 3 in interp_0 ' |
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| 250 | interp = .false. |
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| 251 | kp = nz_in |
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| 252 | height = p_out |
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| 253 | DO WHILE ( (interp .eqv. .false.) .and. (kp .ge. 2) ) |
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| 254 | IF( ((p_in(kp) .le. height) .and. & |
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| 255 | (p_in(kp-1) .ge. height)) ) THEN |
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| 256 | w2 = log(height/p_in(kp))/log(p_in(kp-1)/p_in(kp)) |
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| 257 | w1 = 1.-w2 |
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| 258 | interp_0_log2 = w1*v_in(kp) + w2*v_in(kp-1) |
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| 259 | interp = .true. |
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| 260 | END IF |
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| 261 | kp = kp-1 |
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| 262 | ENDDO |
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| 263 | ENDIF |
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| 264 | |
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| 265 | end if |
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| 266 | |
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| 267 | return |
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| 268 | END FUNCTION interp_0_log2 |
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| 269 | |
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| 270 | END MODULE module_init_utilities |
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| 271 | |
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| 272 | |
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