1 | MODULE regr_lint_m |
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2 | |
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3 | USE assert_eq_m, ONLY: assert_eq |
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4 | USE assert_m, ONLY: assert |
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5 | USE interpolation, ONLY: hunt |
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6 | |
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7 | IMPLICIT NONE |
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8 | |
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9 | ! Purpose: Each procedure regrids by linear interpolation along dimension "ix" |
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10 | ! the input field "vs" to the output field "vt". |
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11 | ! Remark: |
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12 | ! * "vs" and "vt" have the same dimensions except Nr. ix (ns for vs, nt for vt) |
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13 | |
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14 | ! Argument Type Description |
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15 | !------------------------------------------------------------------------------- |
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16 | ! INTEGER, INTENT(IN) :: ix Scalar dimension regridded <=rank(vs) |
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17 | ! REAL, INTENT(IN) :: vs(*) Rank>=1 source grid field values |
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18 | ! REAL, INTENT(IN) :: xs(:) Vector(ns) centers of source grid, asc. order |
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19 | ! REAL, INTENT(IN) :: xt(:) Vector(nt) centers of target grid, asc. order |
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20 | ! REAL, INTENT(OUT) :: vt(*) Rank>=1 regridded field |
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21 | |
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22 | INTERFACE regr_lint |
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23 | ! The procedures differ only from the rank of the input/output fields. |
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24 | MODULE PROCEDURE regr1_lint, regr2_lint, regr3_lint, & |
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25 | regr4_lint, regr5_lint |
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26 | END INTERFACE |
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27 | |
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28 | PRIVATE |
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29 | PUBLIC :: regr_lint |
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30 | |
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31 | CONTAINS |
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32 | |
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33 | |
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34 | !------------------------------------------------------------------------------- |
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35 | ! |
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36 | SUBROUTINE regr1_lint(ix, vs, xs, xt, vt) |
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37 | ! |
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38 | !------------------------------------------------------------------------------- |
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39 | ! Arguments: |
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40 | INTEGER, INTENT(IN) :: ix |
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41 | REAL, INTENT(IN) :: vs(:) |
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42 | REAL, INTENT(IN) :: xs(:) |
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43 | REAL, INTENT(IN) :: xt(:) |
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44 | REAL, INTENT(OUT) :: vt(:) |
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45 | !------------------------------------------------------------------------------- |
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46 | ! Local variables: |
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47 | INTEGER :: is, it, ns, nt, isb ! "is" bound between 1 and "ns - 1" |
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48 | REAL :: r |
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49 | !------------------------------------------------------------------------------- |
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50 | CALL check_size(ix,SHAPE(vs),SHAPE(vt),SIZE(xs),SIZE(xt),ns,nt) |
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51 | is = -1 ! go immediately to bisection on first call to "hunt" |
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52 | DO it=1,SIZE(xt) |
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53 | CALL hunt(xs,xt(it),is); isb=MIN(MAX(is,1),ns-1) |
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54 | r=(xs(isb+1)-xt(it))/(xs(isb+1)-xs(isb)) |
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55 | vt(it)=r*vs(isb)+(1.-r)*vs(isb+1) |
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56 | END DO |
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57 | |
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58 | END SUBROUTINE regr1_lint |
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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 | ! |
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65 | SUBROUTINE regr2_lint(ix, vs, xs, xt, vt) |
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66 | ! |
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67 | !------------------------------------------------------------------------------- |
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68 | ! Arguments: |
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69 | INTEGER, INTENT(IN) :: ix |
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70 | REAL, INTENT(IN) :: vs(:,:) |
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71 | REAL, INTENT(IN) :: xs(:) |
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72 | REAL, INTENT(IN) :: xt(:) |
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73 | REAL, INTENT(OUT) :: vt(:,:) |
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74 | !------------------------------------------------------------------------------- |
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75 | ! Local variables: |
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76 | INTEGER :: is, it, ns, nt, isb ! "is" bound between 1 and "ns - 1" |
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77 | REAL :: r |
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78 | !------------------------------------------------------------------------------- |
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79 | CALL check_size(ix,SHAPE(vs),SHAPE(vt),SIZE(xs),SIZE(xt),ns,nt) |
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80 | is = -1 ! go immediately to bisection on first call to "hunt" |
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81 | DO it=1,SIZE(xt) |
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82 | CALL hunt(xs,xt(it),is); isb=MIN(MAX(is,1),ns-1) |
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83 | r=(xs(isb+1)-xt(it))/(xs(isb+1)-xs(isb)) |
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84 | IF(ix==1) vt(it,:)=r*vs(isb,:)+(1.-r)*vs(isb+1,:) |
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85 | IF(ix==2) vt(:,it)=r*vs(:,isb)+(1.-r)*vs(:,isb+1) |
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86 | END DO |
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87 | |
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88 | END SUBROUTINE regr2_lint |
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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 | ! |
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95 | SUBROUTINE regr3_lint(ix, vs, xs, xt, vt) |
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96 | ! |
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97 | !------------------------------------------------------------------------------- |
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98 | ! Arguments: |
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99 | INTEGER, INTENT(IN) :: ix |
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100 | REAL, INTENT(IN) :: vs(:,:,:) |
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101 | REAL, INTENT(IN) :: xs(:) |
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102 | REAL, INTENT(IN) :: xt(:) |
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103 | REAL, INTENT(OUT) :: vt(:,:,:) |
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104 | !------------------------------------------------------------------------------- |
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105 | ! Local variables: |
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106 | INTEGER :: is, it, ns, nt, isb ! "is" bound between 1 and "ns - 1" |
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107 | REAL :: r |
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108 | !------------------------------------------------------------------------------- |
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109 | CALL check_size(ix,SHAPE(vs),SHAPE(vt),SIZE(xs),SIZE(xt),ns,nt) |
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110 | is = -1 ! go immediately to bisection on first call to "hunt" |
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111 | DO it=1,SIZE(xt) |
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112 | CALL hunt(xs,xt(it),is); isb=MIN(MAX(is,1),ns-1) |
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113 | r=(xs(isb+1)-xt(it))/(xs(isb+1)-xs(isb)) |
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114 | IF(ix==1) vt(it,:,:)=r*vs(isb,:,:)+(1.-r)*vs(isb+1,:,:) |
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115 | IF(ix==2) vt(:,it,:)=r*vs(:,isb,:)+(1.-r)*vs(:,isb+1,:) |
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116 | IF(ix==3) vt(:,:,it)=r*vs(:,:,isb)+(1.-r)*vs(:,:,isb+1) |
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117 | END DO |
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118 | |
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119 | END SUBROUTINE regr3_lint |
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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 | ! |
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126 | SUBROUTINE regr4_lint(ix, vs, xs, xt, vt) |
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127 | ! |
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128 | !------------------------------------------------------------------------------- |
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129 | ! Arguments: |
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130 | INTEGER, INTENT(IN) :: ix |
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131 | REAL, INTENT(IN) :: vs(:,:,:,:) |
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132 | REAL, INTENT(IN) :: xs(:) |
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133 | REAL, INTENT(IN) :: xt(:) |
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134 | REAL, INTENT(OUT) :: vt(:,:,:,:) |
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135 | !------------------------------------------------------------------------------- |
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136 | ! Local variables: |
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137 | INTEGER :: is, it, ns, nt, isb ! "is" bound between 1 and "ns - 1" |
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138 | REAL :: r |
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139 | !------------------------------------------------------------------------------- |
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140 | CALL check_size(ix,SHAPE(vs),SHAPE(vt),SIZE(xs),SIZE(xt),ns,nt) |
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141 | is = -1 ! go immediately to bisection on first call to "hunt" |
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142 | DO it=1,SIZE(xt) |
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143 | CALL hunt(xs,xt(it),is); isb=MIN(MAX(is,1),ns-1) |
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144 | r=(xs(isb+1)-xt(it))/(xs(isb+1)-xs(isb)) |
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145 | IF(ix==1) vt(it,:,:,:)=r*vs(isb,:,:,:)+(1.-r)*vs(isb+1,:,:,:) |
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146 | IF(ix==2) vt(:,it,:,:)=r*vs(:,isb,:,:)+(1.-r)*vs(:,isb+1,:,:) |
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147 | IF(ix==3) vt(:,:,it,:)=r*vs(:,:,isb,:)+(1.-r)*vs(:,:,isb+1,:) |
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148 | IF(ix==4) vt(:,:,:,it)=r*vs(:,:,:,isb)+(1.-r)*vs(:,:,:,isb+1) |
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149 | END DO |
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150 | |
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151 | END SUBROUTINE regr4_lint |
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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 | ! |
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158 | SUBROUTINE regr5_lint(ix, vs, xs, xt, vt) |
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159 | ! |
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160 | !------------------------------------------------------------------------------- |
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161 | ! Arguments: |
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162 | INTEGER, INTENT(IN) :: ix |
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163 | REAL, INTENT(IN) :: vs(:,:,:,:,:) |
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164 | REAL, INTENT(IN) :: xs(:) |
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165 | REAL, INTENT(IN) :: xt(:) |
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166 | REAL, INTENT(OUT) :: vt(:,:,:,:,:) |
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167 | !------------------------------------------------------------------------------- |
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168 | ! Local variables: |
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169 | INTEGER :: is, it, ns, nt, isb ! "is" bound between 1 and "ns - 1" |
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170 | REAL :: r |
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171 | !------------------------------------------------------------------------------- |
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172 | CALL check_size(ix,SHAPE(vs),SHAPE(vt),SIZE(xs),SIZE(xt),ns,nt) |
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173 | is = -1 ! go immediately to bisection on first call to "hunt" |
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174 | DO it=1,SIZE(xt) |
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175 | CALL hunt(xs,xt(it),is); isb=MIN(MAX(is,1),ns-1) |
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176 | r=(xs(isb+1)-xt(it))/(xs(isb+1)-xs(isb)) |
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177 | IF(ix==1) vt(it,:,:,:,:)=r*vs(isb,:,:,:,:)+(1.-r)*vs(isb+1,:,:,:,:) |
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178 | IF(ix==2) vt(:,it,:,:,:)=r*vs(:,isb,:,:,:)+(1.-r)*vs(:,isb+1,:,:,:) |
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179 | IF(ix==3) vt(:,:,it,:,:)=r*vs(:,:,isb,:,:)+(1.-r)*vs(:,:,isb+1,:,:) |
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180 | IF(ix==4) vt(:,:,:,it,:)=r*vs(:,:,:,isb,:)+(1.-r)*vs(:,:,:,isb+1,:) |
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181 | IF(ix==5) vt(:,:,:,:,it)=r*vs(:,:,:,:,isb)+(1.-r)*vs(:,:,:,:,isb+1) |
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182 | END DO |
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183 | |
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184 | END SUBROUTINE regr5_lint |
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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 | ! |
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191 | SUBROUTINE check_size(ix,svs,svt,nxs,nxt,ns,nt) |
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192 | ! |
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193 | !------------------------------------------------------------------------------- |
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194 | ! Arguments: |
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195 | INTEGER, INTENT(IN) :: ix, svs(:), svt(:), nxs, nxt |
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196 | INTEGER, INTENT(OUT) :: ns, nt |
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197 | !------------------------------------------------------------------------------- |
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198 | ! Local variables: |
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199 | INTEGER :: rk, is |
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200 | CHARACTER(LEN=80) :: sub, msg |
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201 | !------------------------------------------------------------------------------- |
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202 | rk=SIZE(svs) |
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203 | WRITE(sub,'(a,2i0,a)')"regr",rk,ix,"_lint" |
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204 | CALL assert(ix>=1.AND.ix<=rk,TRIM(sub)//": ix exceeds fields rank") |
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205 | DO is=1,rk; IF(is==ix) CYCLE |
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206 | WRITE(msg,'(a,i1)')TRIM(sub)//" n",is |
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207 | CALL assert(svs(is)==svt(is),msg) |
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208 | END DO |
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209 | ns=assert_eq(svs(ix),nxs,TRIM(sub)//" ns") |
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210 | nt=assert_eq(svt(ix),nxt,TRIM(sub)//" nt") |
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211 | |
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212 | END SUBROUTINE check_size |
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213 | ! |
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214 | !------------------------------------------------------------------------------- |
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215 | |
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216 | END MODULE regr_lint_m |
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217 | ! |
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218 | !------------------------------------------------------------------------------- |
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219 | |
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