1 | MODULE lmdz_regr_lint |
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2 | |
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3 | USE lmdz_assert_eq, ONLY: assert_eq |
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4 | USE lmdz_assert, ONLY: assert |
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5 | USE lmdz_interpolation, ONLY: hunt |
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6 | |
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7 | IMPLICIT NONE; PRIVATE |
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8 | PUBLIC :: regr_lint |
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9 | |
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10 | ! Purpose: Each procedure regrids by linear interpolation along dimension "ix" |
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11 | ! the input field "vs" to the output field "vt". |
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12 | ! Remark: |
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13 | ! * "vs" and "vt" have the same dimensions except Nr. ix (ns for vs, nt for vt) |
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14 | |
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15 | ! Argument Type Description |
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16 | !------------------------------------------------------------------------------- |
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17 | ! INTEGER, INTENT(IN) :: ix Scalar dimension regridded <=rank(vs) |
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18 | ! REAL, INTENT(IN) :: vs(*) Rank>=1 source grid field values |
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19 | ! REAL, INTENT(IN) :: xs(:) Vector(ns) centers of source grid, asc. order |
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20 | ! REAL, INTENT(IN) :: xt(:) Vector(nt) centers of target grid, asc. order |
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21 | ! REAL, INTENT(OUT) :: vt(*) Rank>=1 regridded field |
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22 | |
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23 | INTERFACE regr_lint |
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24 | ! The procedures differ only from the rank of the input/output fields. |
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25 | MODULE PROCEDURE regr1_lint, regr2_lint, regr3_lint, & |
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26 | regr4_lint, regr5_lint |
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27 | END INTERFACE |
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28 | |
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29 | |
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30 | CONTAINS |
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31 | |
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32 | |
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33 | !------------------------------------------------------------------------------- |
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34 | |
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35 | SUBROUTINE regr1_lint(ix, vs, xs, xt, vt) |
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36 | |
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37 | !------------------------------------------------------------------------------- |
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38 | ! Arguments: |
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39 | INTEGER, INTENT(IN) :: ix |
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40 | REAL, INTENT(IN) :: vs(:) |
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41 | REAL, INTENT(IN) :: xs(:) |
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42 | REAL, INTENT(IN) :: xt(:) |
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43 | REAL, INTENT(OUT) :: vt(:) |
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44 | !------------------------------------------------------------------------------- |
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45 | ! Local variables: |
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46 | INTEGER :: is, it, ns, nt, isb ! "is" bound between 1 and "ns - 1" |
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47 | REAL :: r |
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48 | !------------------------------------------------------------------------------- |
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49 | CALL check_size(ix, SHAPE(vs), SHAPE(vt), SIZE(xs), SIZE(xt), ns, nt) |
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50 | is = -1 ! go immediately to bisection on first CALL to "hunt" |
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51 | DO it = 1, SIZE(xt) |
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52 | CALL hunt(xs, xt(it), is); isb = MIN(MAX(is, 1), ns - 1) |
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53 | r = (xs(isb + 1) - xt(it)) / (xs(isb + 1) - xs(isb)) |
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54 | vt(it) = r * vs(isb) + (1. - r) * vs(isb + 1) |
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55 | END DO |
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56 | |
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57 | END SUBROUTINE regr1_lint |
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58 | |
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59 | !------------------------------------------------------------------------------- |
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60 | |
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61 | |
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62 | !------------------------------------------------------------------------------- |
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63 | |
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64 | SUBROUTINE regr2_lint(ix, vs, xs, xt, vt) |
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65 | |
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66 | !------------------------------------------------------------------------------- |
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67 | ! Arguments: |
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68 | INTEGER, INTENT(IN) :: ix |
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69 | REAL, INTENT(IN) :: vs(:, :) |
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70 | REAL, INTENT(IN) :: xs(:) |
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71 | REAL, INTENT(IN) :: xt(:) |
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72 | REAL, INTENT(OUT) :: vt(:, :) |
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73 | !------------------------------------------------------------------------------- |
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74 | ! Local variables: |
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75 | INTEGER :: is, it, ns, nt, isb ! "is" bound between 1 and "ns - 1" |
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76 | REAL :: r |
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77 | !------------------------------------------------------------------------------- |
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78 | CALL check_size(ix, SHAPE(vs), SHAPE(vt), SIZE(xs), SIZE(xt), ns, nt) |
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79 | is = -1 ! go immediately to bisection on first CALL to "hunt" |
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80 | DO it = 1, SIZE(xt) |
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81 | CALL hunt(xs, xt(it), is); isb = MIN(MAX(is, 1), ns - 1) |
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82 | r = (xs(isb + 1) - xt(it)) / (xs(isb + 1) - xs(isb)) |
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83 | IF(ix==1) vt(it, :) = r * vs(isb, :) + (1. - r) * vs(isb + 1, :) |
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84 | IF(ix==2) vt(:, it) = r * vs(:, isb) + (1. - r) * vs(:, isb + 1) |
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85 | END DO |
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86 | |
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87 | END SUBROUTINE regr2_lint |
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88 | |
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89 | !------------------------------------------------------------------------------- |
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90 | |
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91 | |
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92 | !------------------------------------------------------------------------------- |
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93 | |
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94 | SUBROUTINE regr3_lint(ix, vs, xs, xt, vt) |
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95 | |
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96 | !------------------------------------------------------------------------------- |
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97 | ! Arguments: |
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98 | INTEGER, INTENT(IN) :: ix |
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99 | REAL, INTENT(IN) :: vs(:, :, :) |
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100 | REAL, INTENT(IN) :: xs(:) |
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101 | REAL, INTENT(IN) :: xt(:) |
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102 | REAL, INTENT(OUT) :: vt(:, :, :) |
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103 | !------------------------------------------------------------------------------- |
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104 | ! Local variables: |
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105 | INTEGER :: is, it, ns, nt, isb ! "is" bound between 1 and "ns - 1" |
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106 | REAL :: r |
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107 | !------------------------------------------------------------------------------- |
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108 | CALL check_size(ix, SHAPE(vs), SHAPE(vt), SIZE(xs), SIZE(xt), ns, nt) |
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109 | is = -1 ! go immediately to bisection on first CALL to "hunt" |
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110 | DO it = 1, SIZE(xt) |
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111 | CALL hunt(xs, xt(it), is); isb = MIN(MAX(is, 1), ns - 1) |
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112 | r = (xs(isb + 1) - xt(it)) / (xs(isb + 1) - xs(isb)) |
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113 | IF(ix==1) vt(it, :, :) = r * vs(isb, :, :) + (1. - r) * vs(isb + 1, :, :) |
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114 | IF(ix==2) vt(:, it, :) = r * vs(:, isb, :) + (1. - r) * vs(:, isb + 1, :) |
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115 | IF(ix==3) vt(:, :, it) = r * vs(:, :, isb) + (1. - r) * vs(:, :, isb + 1) |
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116 | END DO |
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117 | |
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118 | END SUBROUTINE regr3_lint |
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119 | |
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120 | !------------------------------------------------------------------------------- |
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121 | |
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122 | |
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123 | !------------------------------------------------------------------------------- |
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124 | |
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125 | SUBROUTINE regr4_lint(ix, vs, xs, xt, vt) |
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126 | |
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127 | !------------------------------------------------------------------------------- |
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128 | ! Arguments: |
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129 | INTEGER, INTENT(IN) :: ix |
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130 | REAL, INTENT(IN) :: vs(:, :, :, :) |
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131 | REAL, INTENT(IN) :: xs(:) |
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132 | REAL, INTENT(IN) :: xt(:) |
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133 | REAL, INTENT(OUT) :: vt(:, :, :, :) |
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134 | !------------------------------------------------------------------------------- |
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135 | ! Local variables: |
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136 | INTEGER :: is, it, ns, nt, isb ! "is" bound between 1 and "ns - 1" |
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137 | REAL :: r |
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138 | !------------------------------------------------------------------------------- |
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139 | CALL check_size(ix, SHAPE(vs), SHAPE(vt), SIZE(xs), SIZE(xt), ns, nt) |
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140 | is = -1 ! go immediately to bisection on first CALL to "hunt" |
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141 | DO it = 1, SIZE(xt) |
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142 | CALL hunt(xs, xt(it), is); isb = MIN(MAX(is, 1), ns - 1) |
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143 | r = (xs(isb + 1) - xt(it)) / (xs(isb + 1) - xs(isb)) |
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144 | IF(ix==1) vt(it, :, :, :) = r * vs(isb, :, :, :) + (1. - r) * vs(isb + 1, :, :, :) |
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145 | IF(ix==2) vt(:, it, :, :) = r * vs(:, isb, :, :) + (1. - r) * vs(:, isb + 1, :, :) |
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146 | IF(ix==3) vt(:, :, it, :) = r * vs(:, :, isb, :) + (1. - r) * vs(:, :, isb + 1, :) |
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147 | IF(ix==4) vt(:, :, :, it) = r * vs(:, :, :, isb) + (1. - r) * vs(:, :, :, isb + 1) |
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148 | END DO |
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149 | |
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150 | END SUBROUTINE regr4_lint |
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151 | |
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152 | !------------------------------------------------------------------------------- |
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153 | |
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154 | |
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155 | !------------------------------------------------------------------------------- |
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156 | |
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157 | SUBROUTINE regr5_lint(ix, vs, xs, xt, vt) |
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158 | |
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159 | !------------------------------------------------------------------------------- |
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160 | ! Arguments: |
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161 | INTEGER, INTENT(IN) :: ix |
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162 | REAL, INTENT(IN) :: vs(:, :, :, :, :) |
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163 | REAL, INTENT(IN) :: xs(:) |
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164 | REAL, INTENT(IN) :: xt(:) |
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165 | REAL, INTENT(OUT) :: vt(:, :, :, :, :) |
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166 | !------------------------------------------------------------------------------- |
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167 | ! Local variables: |
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168 | INTEGER :: is, it, ns, nt, isb ! "is" bound between 1 and "ns - 1" |
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169 | REAL :: r |
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170 | !------------------------------------------------------------------------------- |
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171 | CALL check_size(ix, SHAPE(vs), SHAPE(vt), SIZE(xs), SIZE(xt), ns, nt) |
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172 | is = -1 ! go immediately to bisection on first CALL to "hunt" |
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173 | DO it = 1, SIZE(xt) |
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174 | CALL hunt(xs, xt(it), is); isb = MIN(MAX(is, 1), ns - 1) |
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175 | r = (xs(isb + 1) - xt(it)) / (xs(isb + 1) - xs(isb)) |
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176 | IF(ix==1) vt(it, :, :, :, :) = r * vs(isb, :, :, :, :) + (1. - r) * vs(isb + 1, :, :, :, :) |
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177 | IF(ix==2) vt(:, it, :, :, :) = r * vs(:, isb, :, :, :) + (1. - r) * vs(:, isb + 1, :, :, :) |
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178 | IF(ix==3) vt(:, :, it, :, :) = r * vs(:, :, isb, :, :) + (1. - r) * vs(:, :, isb + 1, :, :) |
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179 | IF(ix==4) vt(:, :, :, it, :) = r * vs(:, :, :, isb, :) + (1. - r) * vs(:, :, :, isb + 1, :) |
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180 | IF(ix==5) vt(:, :, :, :, it) = r * vs(:, :, :, :, isb) + (1. - r) * vs(:, :, :, :, isb + 1) |
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181 | END DO |
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182 | |
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183 | END SUBROUTINE regr5_lint |
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184 | |
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185 | !------------------------------------------------------------------------------- |
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186 | |
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187 | |
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188 | !------------------------------------------------------------------------------- |
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189 | |
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190 | SUBROUTINE check_size(ix, svs, svt, nxs, nxt, ns, nt) |
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191 | |
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192 | !------------------------------------------------------------------------------- |
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193 | ! Arguments: |
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194 | INTEGER, INTENT(IN) :: ix, svs(:), svt(:), nxs, nxt |
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195 | INTEGER, INTENT(OUT) :: ns, nt |
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196 | !------------------------------------------------------------------------------- |
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197 | ! Local variables: |
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198 | INTEGER :: rk, is |
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199 | CHARACTER(LEN = 80) :: sub, msg |
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200 | !------------------------------------------------------------------------------- |
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201 | rk = SIZE(svs) |
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202 | WRITE(sub, '(a,2i0,a)')"regr", rk, ix, "_lint" |
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203 | CALL assert(ix>=1.AND.ix<=rk, TRIM(sub) // ": ix exceeds fields rank") |
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204 | DO is = 1, rk; IF(is==ix) CYCLE |
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205 | WRITE(msg, '(a,i1)')TRIM(sub) // " n", is |
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206 | CALL assert(svs(is)==svt(is), msg) |
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207 | END DO |
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208 | ns = assert_eq(svs(ix), nxs, TRIM(sub) // " ns") |
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209 | nt = assert_eq(svt(ix), nxt, TRIM(sub) // " nt") |
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210 | |
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211 | END SUBROUTINE check_size |
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212 | |
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213 | !------------------------------------------------------------------------------- |
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214 | |
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215 | END MODULE lmdz_regr_lint |
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216 | |
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217 | !------------------------------------------------------------------------------- |
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218 | |
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