[4213] | 1 | !---------------------------------------------------------------------- |
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| 2 | ! NEMO system team, System and Interface for oceanic RElocable Nesting |
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| 3 | !---------------------------------------------------------------------- |
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| 4 | ! |
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| 5 | ! MODULE: filter |
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| 6 | ! |
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| 7 | ! DESCRIPTION: |
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[5037] | 8 | !> @brief This module is filter manager. |
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[4213] | 9 | !> |
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[5037] | 10 | !> @details Filtering method to be used is specify inside variable strcuture, |
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| 11 | !> as array of string character.<br/> |
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| 12 | !> td_var\%c_filter(1) string character is the filter name choose between:<br/> |
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| 13 | !> - 'hann' |
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| 14 | !> - rad < cutoff : @f$ filter=0.5+0.5*COS(\pi*\frac{rad}{cutoff}) @f$ |
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| 15 | !> - rad > cutoff : @f$ filter=0 @f$ |
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| 16 | !> - 'hamming' |
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| 17 | !> - rad < cutoff : @f$ filter=0.54+0.46*COS(\pi*\frac{rad}{cutoff}) @f$ |
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| 18 | !> - rad > cutoff : @f$ filter=0 @f$ |
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| 19 | !> - 'blackman' |
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| 20 | !> - rad < cutoff : @f$ filter=0.42 + 0.5*COS(\pi*\frac{rad}{cutoff}) + 0.08*COS(2\pi*\frac{rad}{cutoff}) @f$ |
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| 21 | !> - rad > cutoff : @f$ filter=0 @f$ |
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| 22 | !> - 'gauss' |
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| 23 | !> - @f$filter=exp(-(\alpha * rad^2) / (2*cutoff^2))@f$ |
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| 24 | !> - 'butterworth' |
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| 25 | !> - @f$ filer=1 / (1+(rad^2 / cutoff^2)^{\alpha}) @f$ |
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| 26 | !> . |
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| 27 | !> |
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| 28 | !> with @f$ rad= \sqrt{(dist-radius)^2} @f$ |
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| 29 | !> |
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| 30 | !> td_var\%c_filter(2) string character is the number of turn to be done<br/> |
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| 31 | !> td_var\%c_filter(3) string character is the cut-off frequency (count in number of mesh grid)<br/> |
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| 32 | !> td_var\%c_filter(4) string character is the halo radius (count in number of mesh grid)<br/> |
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| 33 | !> td_var\%c_filter(5) string character is the alpha parameter (for gauss and butterworth method)<br/> |
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| 34 | !> |
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| 35 | !> @note Filter method could be specify for each variable in namelist _namvar_, |
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| 36 | !> defining string character _cn\_varinfo_. None by default.<br/> |
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| 37 | !> Filter method parameters are informed inside bracket. |
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| 38 | !> - @f$\alpha@f$ parameter is added for _gauss_ and _butterworth_ methods |
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[4213] | 39 | !> |
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[5037] | 40 | !> The number of turn is specify using '*' separator.<br/> |
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| 41 | !> Example: |
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| 42 | !> - cn_varinfo='varname1:2*hamming(@f$cutoff@f$,@f$radius@f$)', 'varname2:gauss(@f$cutoff@f$,@f$radius@f$,@f$\alpha@f$)' |
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| 43 | !> |
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| 44 | !> to filter variable value:<br/> |
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| 45 | !> @code |
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| 46 | !> CALL filter_fill_value( td_var ) |
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| 47 | !> @endcode |
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| 48 | !> - td_var is variable structure |
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| 49 | !> |
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[4213] | 50 | !> @author |
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| 51 | !> J.Paul |
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| 52 | ! REVISION HISTORY: |
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[5037] | 53 | !> @date November, 2013 - Initial Version |
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[4213] | 54 | ! |
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| 55 | !> @note Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 56 | !---------------------------------------------------------------------- |
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| 57 | MODULE filter |
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| 58 | USE kind ! F90 kind parameter |
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| 59 | USE phycst ! physical constant |
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[5037] | 60 | USE logger ! log file manager |
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[4213] | 61 | USE fct ! basic usefull function |
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| 62 | use att ! attribute manager |
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| 63 | USE var ! variable manager |
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| 64 | USE extrap ! extrapolation manager |
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| 65 | IMPLICIT NONE |
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| 66 | ! NOTE_avoid_public_variables_if_possible |
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| 67 | |
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| 68 | ! type and variable |
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| 69 | |
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| 70 | |
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| 71 | ! function and subroutine |
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[5037] | 72 | PUBLIC :: filter_fill_value !< filter variable value |
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[4213] | 73 | |
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[5037] | 74 | PRIVATE :: filter__fill_value_wrapper ! |
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| 75 | PRIVATE :: filter__fill_value ! |
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| 76 | PRIVATE :: filter__3D_fill_value ! |
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| 77 | PRIVATE :: filter__2D_fill_value ! |
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| 78 | PRIVATE :: filter__2D ! |
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| 79 | PRIVATE :: filter__2D_coef ! |
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| 80 | PRIVATE :: filter__2D_hann ! |
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| 81 | PRIVATE :: filter__2D_hamming ! |
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| 82 | PRIVATE :: filter__2D_blackman ! |
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| 83 | PRIVATE :: filter__2D_gauss ! |
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| 84 | PRIVATE :: filter__2D_butterworth ! |
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| 85 | PRIVATE :: filter__1D_fill_value ! |
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| 86 | PRIVATE :: filter__1D ! |
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| 87 | PRIVATE :: filter__1D_coef ! |
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| 88 | PRIVATE :: filter__1D_hann ! |
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| 89 | PRIVATE :: filter__1D_hamming ! |
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| 90 | PRIVATE :: filter__1D_blackman ! |
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| 91 | PRIVATE :: filter__1D_gauss ! |
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| 92 | PRIVATE :: filter__1D_butterworth ! |
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[4213] | 93 | |
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| 94 | INTERFACE filter_fill_value |
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| 95 | MODULE PROCEDURE filter__fill_value_wrapper |
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| 96 | END INTERFACE filter_fill_value |
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| 97 | |
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| 98 | CONTAINS |
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| 99 | !------------------------------------------------------------------- |
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| 100 | !> @brief |
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[5037] | 101 | !> This subroutine filter variable value. |
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[4213] | 102 | !> |
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[5037] | 103 | !> @details |
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| 104 | !> it checks if filtering method is available, |
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| 105 | !> gets parameter value, and launch filter__fill_value |
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| 106 | !> |
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[4213] | 107 | !> @author J.Paul |
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[5037] | 108 | !> - November, 2013- Initial Version |
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[4213] | 109 | ! |
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[5037] | 110 | !> @param[inout] td_var variable structure |
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[4213] | 111 | !------------------------------------------------------------------- |
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| 112 | SUBROUTINE filter__fill_value_wrapper( td_var ) |
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| 113 | IMPLICIT NONE |
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| 114 | ! Argument |
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| 115 | TYPE(TVAR), INTENT(INOUT) :: td_var |
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| 116 | |
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| 117 | ! local variable |
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| 118 | CHARACTER(LEN=lc) :: cl_filter |
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| 119 | CHARACTER(LEN=lc) :: cl_method |
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| 120 | INTEGER(I4) :: il_radius |
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| 121 | INTEGER(I4) :: il_nturn |
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| 122 | REAL(dp) :: dl_cutoff |
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| 123 | REAL(dp) :: dl_alpha |
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| 124 | |
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| 125 | TYPE(TATT) :: tl_att |
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| 126 | |
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| 127 | ! loop indices |
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| 128 | INTEGER(I4) :: jl |
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| 129 | !---------------------------------------------------------------- |
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| 130 | |
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| 131 | IF( .NOT. ASSOCIATED(td_var%d_value) )THEN |
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[5037] | 132 | CALL logger_error("FILTER FILL VALUE: no array of value "//& |
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[4213] | 133 | & "associted to variable "//TRIM(td_var%c_name) ) |
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| 134 | ELSE |
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| 135 | |
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| 136 | SELECT CASE(TRIM(td_var%c_filter(1))) |
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| 137 | |
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| 138 | CASE DEFAULT |
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| 139 | |
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[5037] | 140 | CALL logger_trace("FILTER FILL VALUE: no filter selected "//& |
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[4213] | 141 | & "for variable "//TRIM(td_var%c_name)) |
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| 142 | |
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| 143 | CASE('hann','hamming','blackman','gauss','butterworth') |
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| 144 | |
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| 145 | cl_method=TRIM(td_var%c_filter(1)) |
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| 146 | |
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| 147 | ! look for number of turn to be done |
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| 148 | READ(td_var%c_filter(2),*) il_nturn |
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| 149 | IF( il_nturn < 0 )THEN |
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| 150 | CALL logger_error("FILTER FILL VALUE: invalid "//& |
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| 151 | & "number of turn ("//TRIM(td_var%c_filter(2))//")") |
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| 152 | ENDIF |
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| 153 | |
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| 154 | ! look for cut-off frequency |
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| 155 | dl_cutoff=2 |
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| 156 | IF( TRIM(td_var%c_filter(3)) /= '' )THEN |
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| 157 | READ(td_var%c_filter(3),*) dl_cutoff |
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| 158 | ENDIF |
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| 159 | IF( dl_cutoff < 0 )THEN |
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| 160 | CALL logger_error("FILTER FILL VALUE: invalid cut-off "//& |
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| 161 | & "frequency ("//TRIM(td_var%c_filter(3))//")") |
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| 162 | ENDIF |
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| 163 | |
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| 164 | ! look for halo size |
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| 165 | il_radius=1 |
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| 166 | IF( TRIM(td_var%c_filter(4)) /= '' )THEN |
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| 167 | READ(td_var%c_filter(4),*) il_radius |
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| 168 | ENDIF |
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| 169 | IF( il_radius < 0 )THEN |
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| 170 | CALL logger_error("FILTER FILL VALUE: invalid halo radius "//& |
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| 171 | & " ("//TRIM(td_var%c_filter(4))//")") |
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| 172 | ENDIF |
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| 173 | |
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| 174 | IF( REAL(2*il_radius+1,dp) < dl_cutoff )THEN |
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| 175 | CALL logger_error("FILTER FILL VALUE: radius of halo and "//& |
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| 176 | & "spatial cut-off frequency are not suitable.") |
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| 177 | ENDIF |
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| 178 | |
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| 179 | ! look for alpha parameter |
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| 180 | dl_alpha=2 |
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| 181 | IF( TRIM(td_var%c_filter(5)) /= '' )THEN |
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| 182 | READ(td_var%c_filter(5),*) dl_alpha |
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| 183 | ENDIF |
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| 184 | |
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| 185 | SELECT CASE(TRIM(cl_method)) |
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| 186 | CASE('gauss','butterworth') |
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| 187 | CALL logger_info("FILTER FILL VALUE: filtering "//& |
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| 188 | & " variable "//TRIM(td_var%c_name)//& |
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| 189 | & " using "//TRIM(fct_str(il_nturn))//" turn"//& |
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| 190 | & " of "//TRIM(cl_method)//" method,"//& |
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| 191 | & " with cut-off frequency of "//& |
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| 192 | & TRIM(fct_str(REAL(dl_cutoff,sp)))//& |
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| 193 | & ", halo's radius of "//& |
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| 194 | & TRIM(fct_str(il_radius))//& |
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| 195 | & ", and alpha parameter of "//& |
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| 196 | & TRIM(fct_str(REAL(dl_alpha,sp))) ) |
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| 197 | CASE DEFAULT |
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| 198 | CALL logger_info("FILTER FILL VALUE: filtering "//& |
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| 199 | & " variable "//TRIM(td_var%c_name)//& |
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| 200 | & " using "//TRIM(fct_str(il_nturn))//" turn"//& |
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| 201 | & " of "//TRIM(cl_method)//" method,"//& |
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| 202 | & " with cut-off frequency of "//& |
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| 203 | & TRIM(fct_str(REAL(dl_cutoff,sp)))//& |
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| 204 | & " and halo's radius of "//& |
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| 205 | & TRIM(fct_str(il_radius)) ) |
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| 206 | END SELECT |
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| 207 | |
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| 208 | IF( .NOT. ANY(td_var%t_dim(1:3)%l_use) )THEN |
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| 209 | ! no dimension I-J-K used |
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| 210 | CALL logger_debug("FILTER FILL VALUE: no filtering can "//& |
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| 211 | & "be done for variable "//TRIM(td_var%c_name)) |
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| 212 | ELSE |
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| 213 | |
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| 214 | ! add attribute to variable |
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| 215 | SELECT CASE(TRIM(cl_method)) |
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| 216 | CASE('gauss','butterworth') |
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| 217 | cl_filter=TRIM(fct_str(il_nturn))//'*'//TRIM(cl_method)//& |
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| 218 | & '('//TRIM(fct_str(REAL(dl_cutoff,sp)))//","//& |
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| 219 | & TRIM(fct_str(il_radius))//","//& |
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| 220 | & TRIM(fct_str(REAL(dl_alpha,sp)))//')' |
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| 221 | CASE DEFAULT |
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| 222 | cl_filter=TRIM(fct_str(il_nturn))//'*'//TRIM(cl_method)//& |
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| 223 | & '('//TRIM(fct_str(REAL(dl_cutoff,sp)))//","//& |
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| 224 | & TRIM(fct_str(il_radius))//')' |
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| 225 | END SELECT |
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| 226 | tl_att=att_init('filter',cl_filter) |
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| 227 | CALL var_move_att(td_var,tl_att) |
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[5037] | 228 | ! clean |
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| 229 | CALL att_clean(tl_att) |
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| 230 | |
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[4213] | 231 | DO jl=1,il_nturn |
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| 232 | CALL filter__fill_value( td_var, TRIM(cl_method), & |
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| 233 | & dl_cutoff, il_radius, dl_alpha ) |
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| 234 | ENDDO |
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| 235 | ENDIF |
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| 236 | |
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| 237 | END SELECT |
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| 238 | |
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| 239 | ENDIF |
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| 240 | END SUBROUTINE filter__fill_value_wrapper |
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| 241 | !------------------------------------------------------------------- |
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| 242 | !> @brief |
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[5037] | 243 | !> This subroutine filtering variable value, given cut-off frequency |
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| 244 | !> halo radius and alpha parameter. |
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[4213] | 245 | !> |
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| 246 | !> @details |
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[5037] | 247 | !> First extrabands are added to array of variable value. |
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| 248 | !> Then values are extrapolated, before apply filter. |
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| 249 | !> Finally extrabands are removed. |
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[4213] | 250 | !> |
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| 251 | !> @author J.Paul |
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[5037] | 252 | !> - November, 2013- Initial Version |
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[4213] | 253 | ! |
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[5037] | 254 | !> @param[inout] td_var variable |
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| 255 | !> @param[in] cd_name filter name |
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| 256 | !> @param[in] dd_cutoff cut-off frequency |
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| 257 | !> @param[in] id_radius filter halo radius |
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| 258 | !> @param[in] dd_alpha filter parameter |
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[4213] | 259 | !------------------------------------------------------------------- |
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| 260 | SUBROUTINE filter__fill_value( td_var, cd_name, & |
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| 261 | & dd_cutoff, id_radius, dd_alpha ) |
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| 262 | IMPLICIT NONE |
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| 263 | ! Argument |
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| 264 | TYPE(TVAR) , INTENT(INOUT) :: td_var |
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| 265 | CHARACTER(LEN=*), INTENT(IN ) :: cd_name |
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| 266 | REAL(dp) , INTENT(IN ) :: dd_cutoff |
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| 267 | INTEGER(I4) , INTENT(IN ) :: id_radius |
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| 268 | REAL(dp) , INTENT(IN ) :: dd_alpha |
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| 269 | |
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| 270 | ! local variable |
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| 271 | TYPE(TVAR) :: tl_mask |
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| 272 | |
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| 273 | INTEGER(i1) , DIMENSION(:,:,:,:), ALLOCATABLE :: bl_mask |
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| 274 | |
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| 275 | ! loop indices |
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| 276 | INTEGER(i4) :: jl |
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| 277 | !---------------------------------------------------------------- |
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| 278 | |
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| 279 | CALL logger_debug("FILTER: "//TRIM(fct_str(td_var%d_fill)) ) |
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| 280 | |
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| 281 | !1-add extraband |
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| 282 | CALL extrap_add_extrabands(td_var, id_radius, id_radius) |
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| 283 | |
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| 284 | !2-compute mask |
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| 285 | ALLOCATE(bl_mask(td_var%t_dim(1)%i_len, & |
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| 286 | & td_var%t_dim(2)%i_len, & |
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| 287 | & td_var%t_dim(3)%i_len, & |
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| 288 | & td_var%t_dim(4)%i_len) ) |
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| 289 | |
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| 290 | bl_mask(:,:,:,:)=1 |
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| 291 | WHERE(td_var%d_value(:,:,:,:)==td_var%d_fill) bl_mask(:,:,:,:)=0 |
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| 292 | |
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| 293 | tl_mask=var_init('tmask', bl_mask(:,:,:,:)) |
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| 294 | |
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| 295 | DEALLOCATE(bl_mask) |
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| 296 | |
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| 297 | !3-extrapolate |
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| 298 | CALL extrap_fill_value( td_var, id_iext=id_radius, id_jext=id_radius ) |
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| 299 | |
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| 300 | !4-filtering |
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| 301 | DO jl=1,td_var%t_dim(4)%i_len |
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| 302 | IF( ALL(td_var%t_dim(1:3)%l_use) )THEN |
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| 303 | ! dimension I-J-K used |
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| 304 | CALL filter__3D_fill_value( td_var%d_value(:,:,:,jl), & |
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| 305 | & td_var%d_fill, TRIM(cd_name), & |
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| 306 | & dd_cutoff, id_radius, dd_alpha) |
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| 307 | ELSE IF( ALL(td_var%t_dim(1:2)%l_use) )THEN |
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| 308 | ! dimension I-J used |
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| 309 | CALL filter__2D_fill_value( td_var%d_value(:,:,1,jl), & |
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| 310 | & td_var%d_fill, TRIM(cd_name), & |
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| 311 | & dd_cutoff, id_radius, dd_alpha) |
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| 312 | ELSE IF( td_var%t_dim(3)%l_use )THEN |
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| 313 | ! dimension K used |
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| 314 | CALL filter__1D_fill_value( td_var%d_value(1,1,:,jl), & |
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| 315 | & td_var%d_fill, TRIM(cd_name), & |
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| 316 | & dd_cutoff, id_radius, dd_alpha) |
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| 317 | ENDIF |
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| 318 | ENDDO |
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| 319 | |
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| 320 | !5-keep original mask |
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| 321 | WHERE( tl_mask%d_value(:,:,:,:) == 0 ) |
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| 322 | td_var%d_value(:,:,:,:)=td_var%d_fill |
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| 323 | END WHERE |
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| 324 | |
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[5037] | 325 | ! clean |
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| 326 | CALL var_clean(tl_mask) |
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| 327 | |
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[4213] | 328 | !6-remove extraband |
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| 329 | CALL extrap_del_extrabands(td_var, id_radius, id_radius) |
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| 330 | |
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| 331 | END SUBROUTINE filter__fill_value |
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| 332 | !------------------------------------------------------------------- |
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[5037] | 333 | !> @brief This subroutine compute filtered value of 3D array. |
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[4213] | 334 | !> |
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| 335 | !> @details |
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[5037] | 336 | !> First compute filter coefficient. |
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| 337 | !> Then apply it on each level of variable value. |
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[4213] | 338 | !> |
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[5037] | 339 | !> @warning array of value should have been already extrapolated before |
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[4213] | 340 | !> running this subroutine. |
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| 341 | ! |
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| 342 | !> @author J.Paul |
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[5037] | 343 | !> - November, 2013- Initial Version |
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[4213] | 344 | ! |
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[5037] | 345 | !> @param[inout] dd_value array of value to be filtered |
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| 346 | !> @param[in] dd_fill fill value |
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| 347 | !> @param[in] cd_name filter name |
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| 348 | !> @param[in] dd_cutoff cut-off frequency |
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| 349 | !> @param[in] id_radius filter halo radius |
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| 350 | !> @param[in] dd_alpha filter parameter |
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[4213] | 351 | !------------------------------------------------------------------- |
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| 352 | SUBROUTINE filter__3D_fill_value( dd_value, dd_fill, cd_name, & |
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| 353 | & dd_cutoff, id_radius, dd_alpha) |
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| 354 | IMPLICIT NONE |
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| 355 | ! Argument |
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| 356 | REAL(dp) , DIMENSION(:,:,:), INTENT(INOUT) :: dd_value |
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| 357 | REAL(dp) , INTENT(IN ) :: dd_fill |
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| 358 | CHARACTER(LEN=*), INTENT(IN ) :: cd_name |
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| 359 | REAL(dp) , INTENT(IN ) :: dd_cutoff |
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| 360 | INTEGER(i4) , INTENT(IN ) :: id_radius |
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| 361 | REAL(dp) , INTENT(IN ) :: dd_alpha |
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| 362 | |
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| 363 | ! local variable |
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| 364 | INTEGER(i4), DIMENSION(3) :: il_shape |
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| 365 | REAL(dp) , DIMENSION(:,:), ALLOCATABLE :: dl_coef |
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| 366 | |
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| 367 | ! loop indices |
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| 368 | INTEGER(i4) :: jk |
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| 369 | !---------------------------------------------------------------- |
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| 370 | |
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| 371 | il_shape(:)=SHAPE(dd_value(:,:,:)) |
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| 372 | |
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| 373 | ALLOCATE( dl_coef(2*id_radius+1,2*id_radius+1) ) |
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| 374 | |
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| 375 | dl_coef(:,:)=filter__2D_coef(cd_name, dd_cutoff, id_radius, dd_alpha) |
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| 376 | |
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| 377 | DO jk=1,il_shape(3) |
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| 378 | CALL filter__2D(dd_value(:,:,jk), dd_fill,dl_coef(:,:),id_radius) |
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| 379 | ENDDO |
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| 380 | |
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| 381 | DEALLOCATE( dl_coef ) |
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| 382 | |
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| 383 | END SUBROUTINE filter__3D_fill_value |
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| 384 | !------------------------------------------------------------------- |
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[5037] | 385 | !> @brief This subroutine compute filtered value of 2D array. |
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[4213] | 386 | ! |
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| 387 | !> @details |
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[5037] | 388 | !> First compute filter coefficient. |
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| 389 | !> Then apply it on variable value. |
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| 390 | !> |
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| 391 | !> @warning array of value should have been already extrapolated before |
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[4213] | 392 | !> running this subroutine. |
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| 393 | !> |
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| 394 | !> @author J.Paul |
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[5037] | 395 | !> - November, 2013- Initial Version |
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[4213] | 396 | ! |
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[5037] | 397 | !> @param[inout] dd_value array of value to be filtered |
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| 398 | !> @param[in] dd_fill fill value |
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| 399 | !> @param[in] cd_name filter name |
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| 400 | !> @param[in] dd_cutoff cut-off frequency |
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| 401 | !> @param[in] id_radius filter halo radius |
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| 402 | !> @param[in] dd_alpha filter parameter |
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[4213] | 403 | !------------------------------------------------------------------- |
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| 404 | SUBROUTINE filter__2D_fill_value( dd_value, dd_fill, cd_name, & |
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| 405 | & dd_cutoff, id_radius, dd_alpha) |
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| 406 | IMPLICIT NONE |
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| 407 | ! Argument |
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| 408 | REAL(dp) , DIMENSION(:,:), INTENT(INOUT) :: dd_value |
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| 409 | REAL(dp) , INTENT(IN ) :: dd_fill |
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| 410 | CHARACTER(LEN=*), INTENT(IN ) :: cd_name |
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| 411 | REAL(dp) , INTENT(IN ) :: dd_cutoff |
---|
| 412 | INTEGER(i4) , INTENT(IN ) :: id_radius |
---|
| 413 | REAL(dp) , INTENT(IN ) :: dd_alpha |
---|
| 414 | |
---|
| 415 | ! local variable |
---|
| 416 | |
---|
| 417 | REAL(dp), DIMENSION(:,:), ALLOCATABLE :: dl_coef |
---|
| 418 | ! loop indices |
---|
| 419 | !---------------------------------------------------------------- |
---|
| 420 | |
---|
| 421 | ALLOCATE( dl_coef(2*id_radius+1,2*id_radius+1) ) |
---|
| 422 | |
---|
| 423 | dl_coef(:,:)=filter__2D_coef(cd_name, dd_cutoff, id_radius, dd_alpha) |
---|
| 424 | |
---|
| 425 | CALL filter__2D(dd_value(:,:), dd_fill, dl_coef(:,:), id_radius) |
---|
| 426 | |
---|
| 427 | DEALLOCATE( dl_coef ) |
---|
| 428 | |
---|
| 429 | END SUBROUTINE filter__2D_fill_value |
---|
| 430 | !------------------------------------------------------------------- |
---|
[5037] | 431 | !> @brief This subroutine compute filtered value of 1D array. |
---|
[4213] | 432 | ! |
---|
| 433 | !> @details |
---|
[5037] | 434 | !> First compute filter coefficient. |
---|
| 435 | !> Then apply it on variable value. |
---|
| 436 | !> |
---|
| 437 | !> @warning array of value should have been already extrapolated before |
---|
[4213] | 438 | !> running this subroutine. |
---|
| 439 | !> |
---|
| 440 | !> @author J.Paul |
---|
[5037] | 441 | !> - November, 2013- Initial Version |
---|
[4213] | 442 | ! |
---|
[5037] | 443 | !> @param[inout] dd_value array of value to be filtered |
---|
| 444 | !> @param[in] dd_fill fill value |
---|
| 445 | !> @param[in] cd_name filter name |
---|
| 446 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 447 | !> @param[in] id_radius filter halo radius |
---|
| 448 | !> @param[in] dd_alpha filter parameter |
---|
[4213] | 449 | !------------------------------------------------------------------- |
---|
| 450 | SUBROUTINE filter__1D_fill_value( dd_value, dd_fill, cd_name, & |
---|
| 451 | & dd_cutoff, id_radius, dd_alpha) |
---|
| 452 | IMPLICIT NONE |
---|
| 453 | ! Argument |
---|
| 454 | REAL(dp) , DIMENSION(:), INTENT(INOUT) :: dd_value |
---|
| 455 | REAL(dp) , INTENT(IN ) :: dd_fill |
---|
| 456 | CHARACTER(LEN=*), INTENT(IN ) :: cd_name |
---|
| 457 | REAL(dp) , INTENT(IN ) :: dd_cutoff |
---|
| 458 | INTEGER(i4) , INTENT(IN ) :: id_radius |
---|
| 459 | REAL(dp) , INTENT(IN ) :: dd_alpha |
---|
| 460 | |
---|
| 461 | ! local variable |
---|
| 462 | |
---|
| 463 | REAL(dp), DIMENSION(:), ALLOCATABLE :: dl_coef |
---|
| 464 | ! loop indices |
---|
| 465 | !---------------------------------------------------------------- |
---|
| 466 | |
---|
| 467 | ALLOCATE( dl_coef(2*id_radius+1) ) |
---|
| 468 | |
---|
| 469 | dl_coef(:)=filter__1D_coef(cd_name, dd_cutoff, id_radius, dd_alpha) |
---|
| 470 | |
---|
| 471 | CALL filter__1D(dd_value(:), dd_fill, dl_coef(:),id_radius) |
---|
| 472 | |
---|
| 473 | DEALLOCATE( dl_coef ) |
---|
| 474 | |
---|
| 475 | END SUBROUTINE filter__1D_fill_value |
---|
| 476 | !------------------------------------------------------------------- |
---|
[5037] | 477 | !> @brief This subroutine filtered 2D array of value |
---|
| 478 | !> |
---|
[4213] | 479 | !> @details |
---|
[5037] | 480 | !> loop on first and second dimension, |
---|
| 481 | !> and apply coefficient 2D array on each point |
---|
[4213] | 482 | !> |
---|
| 483 | !> @author J.Paul |
---|
[5037] | 484 | !> - November, 2013- Initial Version |
---|
[4213] | 485 | ! |
---|
[5037] | 486 | !> @param[inout] dd_value array of value to be filtered |
---|
| 487 | !> @param[in] dd_fill fill value |
---|
| 488 | !> @param[in] dd_coef filter coefficent array |
---|
| 489 | !> @param[in] id_radius filter halo radius |
---|
[4213] | 490 | !------------------------------------------------------------------- |
---|
| 491 | SUBROUTINE filter__2D(dd_value, dd_fill, dd_coef, id_radius) |
---|
| 492 | IMPLICIT NONE |
---|
| 493 | ! Argument |
---|
| 494 | REAL(dp) , DIMENSION(:,:), INTENT(INOUT) :: dd_value |
---|
| 495 | REAL(dp) , INTENT(IN ) :: dd_fill |
---|
| 496 | REAL(dp) , DIMENSION(:,:), INTENT(IN ) :: dd_coef |
---|
| 497 | INTEGER(i4) , INTENT(IN ) :: id_radius |
---|
| 498 | |
---|
| 499 | ! local variable |
---|
| 500 | INTEGER(i4), DIMENSION(2) :: il_shape |
---|
| 501 | REAL(dp) , DIMENSION(:,:), ALLOCATABLE :: dl_value |
---|
[5037] | 502 | REAL(dp) , DIMENSION(:,:), ALLOCATABLE :: dl_halo |
---|
[4213] | 503 | |
---|
| 504 | ! loop indices |
---|
| 505 | INTEGER(i4) :: jj |
---|
| 506 | INTEGER(i4) :: ji |
---|
| 507 | !---------------------------------------------------------------- |
---|
| 508 | il_shape(:)=SHAPE(dd_value(:,:)) |
---|
| 509 | |
---|
| 510 | ALLOCATE(dl_value(il_shape(1),il_shape(2))) |
---|
| 511 | dl_value(:,:)=dd_value(:,:) |
---|
| 512 | |
---|
[5037] | 513 | ALLOCATE(dl_halo(2*id_radius+1,2*id_radius+1)) |
---|
[4213] | 514 | |
---|
| 515 | DO jj=1+id_radius,il_shape(2)-id_radius |
---|
| 516 | DO ji=1+id_radius,il_shape(1)-id_radius |
---|
| 517 | |
---|
[5037] | 518 | dl_halo(:,:)=dd_fill |
---|
| 519 | dl_halo(:,:)=dl_value(ji-id_radius:ji+id_radius, & |
---|
[4213] | 520 | & jj-id_radius:jj+id_radius) |
---|
| 521 | |
---|
[5037] | 522 | dd_value(ji,jj)=SUM(dl_halo(:,:)*dd_coef(:,:)) |
---|
[4213] | 523 | |
---|
| 524 | ENDDO |
---|
| 525 | ENDDO |
---|
| 526 | |
---|
[5037] | 527 | DEALLOCATE(dl_halo) |
---|
[4213] | 528 | DEALLOCATE(dl_value) |
---|
| 529 | |
---|
| 530 | END SUBROUTINE filter__2D |
---|
| 531 | !------------------------------------------------------------------- |
---|
[5037] | 532 | !> @brief This subroutine filtered 1D array of value |
---|
[4213] | 533 | ! |
---|
| 534 | !> @details |
---|
[5037] | 535 | !> loop on first dimension, |
---|
| 536 | !> and apply coefficient 1D array on each point |
---|
| 537 | !> |
---|
[4213] | 538 | !> @author J.Paul |
---|
| 539 | !> - Nov, 2013- Initial Version |
---|
| 540 | ! |
---|
[5037] | 541 | !> @param[inout] dd_value array of value to be filtered |
---|
| 542 | !> @param[in] dd_fill fill value |
---|
| 543 | !> @param[in] dd_coef filter coefficent array |
---|
| 544 | !> @param[in] id_radius filter halo radius |
---|
[4213] | 545 | !------------------------------------------------------------------- |
---|
| 546 | SUBROUTINE filter__1D(dd_value, dd_fill, dd_coef, id_radius) |
---|
| 547 | IMPLICIT NONE |
---|
| 548 | ! Argument |
---|
| 549 | REAL(dp) , DIMENSION(:), INTENT(INOUT) :: dd_value |
---|
| 550 | REAL(dp) , INTENT(IN ) :: dd_fill |
---|
| 551 | REAL(dp) , DIMENSION(:), INTENT(IN ) :: dd_coef |
---|
| 552 | INTEGER(i4) , INTENT(IN ) :: id_radius |
---|
| 553 | |
---|
| 554 | ! local variable |
---|
[5037] | 555 | INTEGER(i4), DIMENSION(1) :: il_shape |
---|
[4213] | 556 | REAL(dp) , DIMENSION(:), ALLOCATABLE :: dl_value |
---|
| 557 | |
---|
| 558 | ! loop indices |
---|
| 559 | INTEGER(i4) :: ji |
---|
| 560 | !---------------------------------------------------------------- |
---|
| 561 | il_shape(:)=SHAPE(dd_value(:)) |
---|
| 562 | |
---|
| 563 | ALLOCATE(dl_value(2*id_radius+1)) |
---|
| 564 | |
---|
| 565 | DO ji=1+id_radius,il_shape(1)-id_radius |
---|
| 566 | |
---|
[5037] | 567 | dl_value(:)=dd_fill |
---|
[4213] | 568 | dl_value(:)=dd_value(ji-id_radius:ji+id_radius) |
---|
| 569 | |
---|
[5037] | 570 | dd_value(ji)=SUM(dl_value(:)*dd_coef(:)) |
---|
[4213] | 571 | |
---|
| 572 | ENDDO |
---|
| 573 | |
---|
| 574 | DEALLOCATE(dl_value) |
---|
| 575 | |
---|
| 576 | END SUBROUTINE filter__1D |
---|
| 577 | !------------------------------------------------------------------- |
---|
| 578 | !> @brief This function compute filter coefficient. |
---|
| 579 | ! |
---|
| 580 | !> @details |
---|
| 581 | !> |
---|
| 582 | !> filter could be choose between : |
---|
| 583 | !> - hann |
---|
| 584 | !> - hamming |
---|
| 585 | !> - blackman |
---|
| 586 | !> - gauss |
---|
| 587 | !> - butterworth |
---|
| 588 | !> Cut-off frequency could be specify. |
---|
[5037] | 589 | !> As well as a filter parameter for gauss and butterworth filter |
---|
[4213] | 590 | ! |
---|
| 591 | !> @author J.Paul |
---|
[5037] | 592 | !> - November, 2013- Initial Version |
---|
[4213] | 593 | ! |
---|
[5037] | 594 | !> @param[in] cd_name filter name |
---|
| 595 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 596 | !> @param[in] id_radius filter halo radius |
---|
| 597 | !> @param[in] dd_alpha filter parameter |
---|
| 598 | !> @return array of filter coefficient |
---|
[4213] | 599 | !------------------------------------------------------------------- |
---|
| 600 | FUNCTION filter__2D_coef(cd_name, dd_cutoff, id_radius, dd_alpha) |
---|
| 601 | IMPLICIT NONE |
---|
| 602 | ! Argument |
---|
| 603 | CHARACTER(LEN=*), INTENT(IN) :: cd_name |
---|
| 604 | REAL(dp) , INTENT(IN) :: dd_cutoff |
---|
| 605 | INTEGER(i4) , INTENT(IN) :: id_radius |
---|
| 606 | REAL(dp) , INTENT(IN) :: dd_alpha |
---|
| 607 | |
---|
| 608 | ! function |
---|
| 609 | REAL(dp), DIMENSION(2*id_radius+1,2*id_radius+1) :: filter__2D_coef |
---|
| 610 | |
---|
| 611 | ! local variable |
---|
| 612 | |
---|
| 613 | ! loop indices |
---|
| 614 | !---------------------------------------------------------------- |
---|
| 615 | IF( REAL(id_radius,dp) < dd_cutoff )THEN |
---|
| 616 | CALL logger_warn("FILTER COEF: radius of the filter halo "//& |
---|
| 617 | & "is lower than cut-off frequency") |
---|
| 618 | ENDIF |
---|
| 619 | |
---|
| 620 | SELECT CASE(TRIM(fct_lower(cd_name))) |
---|
| 621 | CASE('hann') |
---|
| 622 | filter__2D_coef(:,:)=filter__2D_hann(dd_cutoff, id_radius) |
---|
| 623 | CASE('hamming') |
---|
| 624 | filter__2D_coef(:,:)=filter__2D_hamming(dd_cutoff, id_radius) |
---|
| 625 | CASE('blackman') |
---|
| 626 | filter__2D_coef(:,:)=filter__2D_blackman(dd_cutoff, id_radius) |
---|
| 627 | CASE('gauss') |
---|
| 628 | filter__2D_coef(:,:)=filter__2D_gauss(dd_cutoff, id_radius, dd_alpha) |
---|
| 629 | CASE('butterworth') |
---|
| 630 | filter__2D_coef(:,:)=filter__2D_butterworth(dd_cutoff, id_radius, dd_alpha) |
---|
| 631 | CASE DEFAULT |
---|
| 632 | CALL logger_error("FILTER COEF: invalid filter name :"//TRIM(cd_name)) |
---|
| 633 | END SELECT |
---|
| 634 | |
---|
| 635 | END FUNCTION filter__2D_coef |
---|
| 636 | !------------------------------------------------------------------- |
---|
| 637 | !> @brief This function compute filter coefficient. |
---|
| 638 | ! |
---|
| 639 | !> @details |
---|
| 640 | !> |
---|
| 641 | !> filter could be choose between : |
---|
| 642 | !> - hann |
---|
| 643 | !> - hamming |
---|
| 644 | !> - blackman |
---|
| 645 | !> - gauss |
---|
| 646 | !> - butterworth |
---|
| 647 | !> Cut-off frequency could be specify. |
---|
| 648 | !> As well as a filter parameter for gauss an butterworth filter |
---|
| 649 | ! |
---|
| 650 | !> @author J.Paul |
---|
[5037] | 651 | !> - November, 2013- Initial Version |
---|
[4213] | 652 | ! |
---|
[5037] | 653 | !> @param[in] cd_name filter name |
---|
| 654 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 655 | !> @param[in] id_radius filter halo radius |
---|
| 656 | !> @param[in] dd_alpha filter parameter |
---|
| 657 | !> @return array of filter coefficient |
---|
[4213] | 658 | !------------------------------------------------------------------- |
---|
| 659 | FUNCTION filter__1D_coef(cd_name, dd_cutoff, id_radius, dd_alpha) |
---|
| 660 | IMPLICIT NONE |
---|
| 661 | ! Argument |
---|
| 662 | CHARACTER(LEN=*), INTENT(IN) :: cd_name |
---|
| 663 | REAL(dp) , INTENT(IN) :: dd_cutoff |
---|
| 664 | INTEGER(i4) , INTENT(IN) :: id_radius |
---|
| 665 | REAL(dp) , INTENT(IN) :: dd_alpha |
---|
| 666 | |
---|
| 667 | ! function |
---|
| 668 | REAL(dp), DIMENSION(2*id_radius+1) :: filter__1D_coef |
---|
| 669 | |
---|
| 670 | ! local variable |
---|
| 671 | |
---|
| 672 | ! loop indices |
---|
| 673 | !---------------------------------------------------------------- |
---|
| 674 | |
---|
| 675 | SELECT CASE(TRIM(fct_lower(cd_name))) |
---|
| 676 | CASE('hann') |
---|
| 677 | filter__1D_coef(:)=filter__1D_hann(dd_cutoff, id_radius) |
---|
| 678 | CASE('hamming') |
---|
| 679 | filter__1D_coef(:)=filter__1D_hamming(dd_cutoff, id_radius) |
---|
| 680 | CASE('blackman') |
---|
| 681 | filter__1D_coef(:)=filter__1D_blackman(dd_cutoff, id_radius) |
---|
| 682 | CASE('gauss') |
---|
| 683 | filter__1D_coef(:)=filter__1D_gauss(dd_cutoff, id_radius, dd_alpha) |
---|
| 684 | CASE('butterworth') |
---|
| 685 | filter__1D_coef(:)=filter__1D_butterworth(dd_cutoff, id_radius, dd_alpha) |
---|
| 686 | CASE DEFAULT |
---|
| 687 | CALL logger_error("FILTER COEF: invalid filter name :"//TRIM(cd_name)) |
---|
| 688 | END SELECT |
---|
| 689 | |
---|
| 690 | END FUNCTION filter__1D_coef |
---|
| 691 | !------------------------------------------------------------------- |
---|
| 692 | !> @brief This function compute coefficient for HANN filter. |
---|
| 693 | ! |
---|
| 694 | !> @details |
---|
| 695 | ! |
---|
| 696 | !> @author J.Paul |
---|
[5037] | 697 | !> - November, 2013- Initial Version |
---|
[4213] | 698 | ! |
---|
[5037] | 699 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 700 | !> @param[in] id_radius filter halo radius |
---|
| 701 | !> @return array of hann filter coefficient |
---|
[4213] | 702 | !------------------------------------------------------------------- |
---|
| 703 | FUNCTION filter__1D_hann(dd_cutoff, id_radius) |
---|
| 704 | IMPLICIT NONE |
---|
| 705 | ! Argument |
---|
| 706 | REAL(dp) , INTENT(IN) :: dd_cutoff |
---|
| 707 | INTEGER(i4) , INTENT(IN) :: id_radius |
---|
| 708 | |
---|
| 709 | ! function |
---|
| 710 | REAL(dp), DIMENSION(2*id_radius+1) :: filter__1D_hann |
---|
| 711 | |
---|
| 712 | ! local variable |
---|
| 713 | REAL(dp) :: dl_rad |
---|
| 714 | REAL(dp) :: dl_sum |
---|
| 715 | |
---|
| 716 | ! loop indices |
---|
| 717 | INTEGER(i4) :: ji |
---|
| 718 | !---------------------------------------------------------------- |
---|
| 719 | |
---|
| 720 | IF( dd_cutoff < 1 )THEN |
---|
| 721 | CALL logger_error("FILTER COEF: cut-off frequency "//& |
---|
| 722 | & "should be greater than or equal to 1. No filter will be apply ") |
---|
| 723 | filter__1D_hann(:)=0. |
---|
| 724 | filter__1D_hann(id_radius+1)=1. |
---|
| 725 | ELSE |
---|
| 726 | DO ji=1,2*id_radius+1 |
---|
| 727 | |
---|
| 728 | dl_rad=SQRT(REAL(ji-id_radius+1,dp)**2 ) |
---|
| 729 | |
---|
| 730 | IF( dl_rad < dd_cutoff )THEN |
---|
[5037] | 731 | filter__1D_hann(ji)=0.5 + 0.5*COS(dp_pi*dl_rad/dd_cutoff) |
---|
[4213] | 732 | ELSE |
---|
| 733 | filter__1D_hann(ji)=0 |
---|
| 734 | ENDIF |
---|
| 735 | |
---|
| 736 | ENDDO |
---|
| 737 | |
---|
| 738 | ! normalize |
---|
| 739 | dl_sum=SUM(filter__1D_hann(:)) |
---|
| 740 | |
---|
| 741 | filter__1D_hann(:)=filter__1D_hann(:)/dl_sum |
---|
| 742 | ENDIF |
---|
| 743 | |
---|
| 744 | END FUNCTION filter__1D_hann |
---|
| 745 | !------------------------------------------------------------------- |
---|
| 746 | !> @brief This function compute coefficient for HANN filter. |
---|
| 747 | ! |
---|
| 748 | !> @details |
---|
| 749 | ! |
---|
| 750 | !> @author J.Paul |
---|
[5037] | 751 | !> - November, 2013- Initial Version |
---|
[4213] | 752 | ! |
---|
[5037] | 753 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 754 | !> @param[in] id_radius filter halo radius |
---|
| 755 | !> @return array of hann filter coefficient |
---|
[4213] | 756 | !------------------------------------------------------------------- |
---|
| 757 | FUNCTION filter__2D_hann(dd_cutoff, id_radius) |
---|
| 758 | IMPLICIT NONE |
---|
| 759 | ! Argument |
---|
| 760 | REAL(dp) , INTENT(IN) :: dd_cutoff |
---|
| 761 | INTEGER(i4), INTENT(IN) :: id_radius |
---|
| 762 | |
---|
| 763 | ! function |
---|
| 764 | REAL(dp), DIMENSION(2*id_radius+1,2*id_radius+1) :: filter__2D_hann |
---|
| 765 | |
---|
| 766 | ! local variable |
---|
| 767 | REAL(dp) :: dl_rad |
---|
| 768 | REAL(dp) :: dl_sum |
---|
| 769 | |
---|
| 770 | ! loop indices |
---|
| 771 | INTEGER(i4) :: ji |
---|
| 772 | INTEGER(i4) :: jj |
---|
| 773 | !---------------------------------------------------------------- |
---|
| 774 | |
---|
| 775 | IF( dd_cutoff < 1.0_dp )THEN |
---|
| 776 | CALL logger_error("FILTER COEF: cut-off frequency "//& |
---|
| 777 | & "should be greater than or equal to 1. No filter will be apply ") |
---|
| 778 | filter__2D_hann(:,:)=0. |
---|
| 779 | filter__2D_hann(id_radius+1,id_radius+1)=1. |
---|
| 780 | ELSE |
---|
| 781 | DO jj=1,2*id_radius+1 |
---|
| 782 | DO ji=1,2*id_radius+1 |
---|
| 783 | |
---|
| 784 | ! radius |
---|
| 785 | dl_rad= SQRT( REAL(ji-(id_radius+1),dp)**2 + & |
---|
| 786 | & REAL(jj-(id_radius+1),dp)**2 ) |
---|
| 787 | |
---|
| 788 | IF( dl_rad < dd_cutoff )THEN |
---|
[5037] | 789 | filter__2D_hann(ji,jj)=0.5 + 0.5*COS(dp_pi*dl_rad/dd_cutoff) |
---|
[4213] | 790 | ELSE |
---|
| 791 | filter__2D_hann(ji,jj)=0 |
---|
| 792 | ENDIF |
---|
| 793 | |
---|
| 794 | ENDDO |
---|
| 795 | ENDDO |
---|
| 796 | |
---|
| 797 | ! normalize |
---|
| 798 | dl_sum=SUM(filter__2D_hann(:,:)) |
---|
| 799 | |
---|
| 800 | filter__2D_hann(:,:)=filter__2D_hann(:,:)/dl_sum |
---|
| 801 | ENDIF |
---|
| 802 | |
---|
| 803 | END FUNCTION filter__2D_hann |
---|
| 804 | !------------------------------------------------------------------- |
---|
| 805 | !> @brief This function compute coefficient for HAMMING filter. |
---|
| 806 | ! |
---|
| 807 | !> @details |
---|
| 808 | ! |
---|
| 809 | !> @author J.Paul |
---|
[5037] | 810 | !> - November, 2013- Initial Version |
---|
[4213] | 811 | ! |
---|
[5037] | 812 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 813 | !> @param[in] id_radius filter halo radius |
---|
| 814 | !> @return array of hamming filter coefficient |
---|
[4213] | 815 | !------------------------------------------------------------------- |
---|
| 816 | FUNCTION filter__1D_hamming(dd_cutoff, id_radius) |
---|
| 817 | IMPLICIT NONE |
---|
| 818 | ! Argument |
---|
| 819 | REAL(dp) , INTENT(IN) :: dd_cutoff |
---|
| 820 | INTEGER(i4) , INTENT(IN) :: id_radius |
---|
| 821 | |
---|
| 822 | ! function |
---|
| 823 | REAL(dp), DIMENSION(2*id_radius+1) :: filter__1D_hamming |
---|
| 824 | |
---|
| 825 | ! local variable |
---|
| 826 | REAL(dp) :: dl_rad |
---|
| 827 | REAL(dp) :: dl_sum |
---|
| 828 | |
---|
| 829 | ! loop indices |
---|
| 830 | INTEGER(i4) :: ji |
---|
| 831 | !---------------------------------------------------------------- |
---|
| 832 | |
---|
| 833 | IF( dd_cutoff < 1 )THEN |
---|
| 834 | CALL logger_error("FILTER COEF: cut-off frequency "//& |
---|
| 835 | & "should be greater than or equal to 1. No filter will be apply ") |
---|
| 836 | filter__1D_hamming(:)=0. |
---|
| 837 | filter__1D_hamming(id_radius+11)=1. |
---|
| 838 | ELSE |
---|
| 839 | DO ji=1,2*id_radius+1 |
---|
| 840 | |
---|
| 841 | dl_rad= SQRT( REAL(ji-(id_radius+1),dp)**2 ) |
---|
| 842 | |
---|
| 843 | IF( dl_rad < dd_cutoff )THEN |
---|
| 844 | filter__1D_hamming(ji)= 0.54 & |
---|
[5037] | 845 | & + 0.46*COS(dp_pi*dl_rad/dd_cutoff) |
---|
[4213] | 846 | ELSE |
---|
| 847 | filter__1D_hamming(ji)=0 |
---|
| 848 | ENDIF |
---|
| 849 | |
---|
| 850 | ENDDO |
---|
| 851 | |
---|
| 852 | ! normalize |
---|
| 853 | dl_sum=SUM(filter__1D_hamming(:)) |
---|
| 854 | |
---|
| 855 | filter__1D_hamming(:)=filter__1D_hamming(:)/dl_sum |
---|
| 856 | ENDIF |
---|
| 857 | |
---|
| 858 | END FUNCTION filter__1D_hamming |
---|
| 859 | !------------------------------------------------------------------- |
---|
| 860 | !> @brief This function compute coefficient for HAMMING filter. |
---|
| 861 | ! |
---|
| 862 | !> @details |
---|
| 863 | ! |
---|
| 864 | !> @author J.Paul |
---|
[5037] | 865 | !> - November, 2013- Initial Version |
---|
[4213] | 866 | ! |
---|
[5037] | 867 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 868 | !> @param[in] id_radius filter halo radius |
---|
| 869 | !> @return array of hamming filter coefficient |
---|
[4213] | 870 | !------------------------------------------------------------------- |
---|
| 871 | FUNCTION filter__2D_hamming(dd_cutoff, id_radius) |
---|
| 872 | IMPLICIT NONE |
---|
| 873 | ! Argument |
---|
| 874 | REAL(dp) , INTENT(IN) :: dd_cutoff |
---|
| 875 | INTEGER(i4) , INTENT(IN) :: id_radius |
---|
| 876 | |
---|
| 877 | ! function |
---|
| 878 | REAL(dp), DIMENSION(2*id_radius+1,2*id_radius+1) :: filter__2D_hamming |
---|
| 879 | |
---|
| 880 | ! local variable |
---|
| 881 | REAL(dp) :: dl_rad |
---|
| 882 | REAL(dp) :: dl_sum |
---|
| 883 | |
---|
| 884 | ! loop indices |
---|
| 885 | INTEGER(i4) :: ji |
---|
| 886 | INTEGER(i4) :: jj |
---|
| 887 | !---------------------------------------------------------------- |
---|
| 888 | |
---|
| 889 | IF( dd_cutoff < 1 )THEN |
---|
| 890 | CALL logger_error("FILTER COEF: cut-off frequency "//& |
---|
| 891 | & "should be greater than or equal to 1. No filter will be apply ") |
---|
| 892 | filter__2D_hamming(:,:)=0. |
---|
| 893 | filter__2D_hamming(id_radius+1,id_radius+1)=1. |
---|
| 894 | ELSE |
---|
| 895 | DO jj=1,2*id_radius+1 |
---|
| 896 | DO ji=1,2*id_radius+1 |
---|
| 897 | |
---|
| 898 | dl_rad= SQRT( REAL(ji-(id_radius+1),dp)**2 + & |
---|
| 899 | & REAL(jj-(id_radius+1),dp)**2 ) |
---|
| 900 | |
---|
| 901 | IF( dl_rad < dd_cutoff )THEN |
---|
| 902 | filter__2D_hamming(ji,jj)= 0.54 & |
---|
[5037] | 903 | & + 0.46*COS(dp_pi*dl_rad/dd_cutoff) |
---|
[4213] | 904 | ELSE |
---|
| 905 | filter__2D_hamming(ji,jj)=0 |
---|
| 906 | ENDIF |
---|
| 907 | |
---|
| 908 | ENDDO |
---|
| 909 | ENDDO |
---|
| 910 | |
---|
| 911 | ! normalize |
---|
| 912 | dl_sum=SUM(filter__2D_hamming(:,:)) |
---|
| 913 | |
---|
| 914 | filter__2D_hamming(:,:)=filter__2D_hamming(:,:)/dl_sum |
---|
| 915 | ENDIF |
---|
| 916 | |
---|
| 917 | END FUNCTION filter__2D_hamming |
---|
| 918 | !------------------------------------------------------------------- |
---|
| 919 | !> @brief This function compute coefficient for BLACKMAN filter. |
---|
| 920 | ! |
---|
| 921 | !> @details |
---|
| 922 | ! |
---|
| 923 | !> @author J.Paul |
---|
[5037] | 924 | !> - November, 2013- Initial Version |
---|
[4213] | 925 | ! |
---|
[5037] | 926 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 927 | !> @param[in] id_radius filter halo radius |
---|
| 928 | !> @return array of blackman filter coefficient |
---|
[4213] | 929 | !------------------------------------------------------------------- |
---|
| 930 | FUNCTION filter__1D_blackman(dd_cutoff, id_radius) |
---|
| 931 | IMPLICIT NONE |
---|
| 932 | ! Argument |
---|
| 933 | REAL(dp) , INTENT(IN) :: dd_cutoff |
---|
| 934 | INTEGER(i4) , INTENT(IN) :: id_radius |
---|
| 935 | |
---|
| 936 | ! function |
---|
| 937 | REAL(dp), DIMENSION(2*id_radius+1) :: filter__1D_blackman |
---|
| 938 | |
---|
| 939 | ! local variable |
---|
| 940 | REAL(dp) :: dl_rad |
---|
| 941 | REAL(dp) :: dl_sum |
---|
| 942 | |
---|
| 943 | ! loop indices |
---|
| 944 | INTEGER(i4) :: ji |
---|
| 945 | !---------------------------------------------------------------- |
---|
| 946 | |
---|
| 947 | IF( dd_cutoff < 1 )THEN |
---|
| 948 | CALL logger_error("FILTER COEF: cut-off frequency "//& |
---|
| 949 | & "should be greater than or equal to 1. No filter will be apply ") |
---|
| 950 | filter__1D_blackman(:)=0. |
---|
| 951 | filter__1D_blackman(id_radius+1)=1. |
---|
| 952 | ELSE |
---|
| 953 | DO ji=1,2*id_radius+1 |
---|
| 954 | |
---|
| 955 | dl_rad= SQRT( REAL(ji-(id_radius+1),dp)**2 ) |
---|
| 956 | |
---|
| 957 | IF( dl_rad < dd_cutoff )THEN |
---|
| 958 | filter__1D_blackman(ji)= 0.42 & |
---|
[5037] | 959 | & + 0.5 *COS( dp_pi*dl_rad/dd_cutoff) & |
---|
| 960 | & + 0.08*COS(2*dp_pi*dl_rad/dd_cutoff) |
---|
[4213] | 961 | ELSE |
---|
| 962 | filter__1D_blackman(ji)=0 |
---|
| 963 | ENDIF |
---|
| 964 | |
---|
| 965 | ENDDO |
---|
| 966 | |
---|
| 967 | ! normalize |
---|
| 968 | dl_sum=SUM(filter__1D_blackman(:)) |
---|
| 969 | |
---|
| 970 | filter__1D_blackman(:)=filter__1D_blackman(:)/dl_sum |
---|
| 971 | ENDIF |
---|
| 972 | |
---|
| 973 | END FUNCTION filter__1D_blackman |
---|
| 974 | !------------------------------------------------------------------- |
---|
| 975 | !> @brief This function compute coefficient for BLACKMAN filter. |
---|
[5037] | 976 | !> |
---|
[4213] | 977 | !> @details |
---|
[5037] | 978 | !> |
---|
[4213] | 979 | !> @author J.Paul |
---|
[5037] | 980 | !> - November, 2013- Initial Version |
---|
| 981 | !> |
---|
| 982 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 983 | !> @param[in] id_radius filter halo radius |
---|
| 984 | !> @return array of blackman filter coefficient |
---|
[4213] | 985 | !------------------------------------------------------------------- |
---|
| 986 | FUNCTION filter__2D_blackman(dd_cutoff, id_radius) |
---|
| 987 | IMPLICIT NONE |
---|
| 988 | ! Argument |
---|
| 989 | REAL(dp) , INTENT(IN) :: dd_cutoff |
---|
| 990 | INTEGER(i4) , INTENT(IN) :: id_radius |
---|
| 991 | |
---|
| 992 | ! function |
---|
| 993 | REAL(dp), DIMENSION(2*id_radius+1,2*id_radius+1) :: filter__2D_blackman |
---|
| 994 | |
---|
| 995 | ! local variable |
---|
| 996 | REAL(dp) :: dl_rad |
---|
| 997 | REAL(dp) :: dl_sum |
---|
| 998 | |
---|
| 999 | ! loop indices |
---|
| 1000 | INTEGER(i4) :: ji |
---|
| 1001 | INTEGER(i4) :: jj |
---|
| 1002 | !---------------------------------------------------------------- |
---|
| 1003 | |
---|
| 1004 | IF( dd_cutoff < 1 )THEN |
---|
| 1005 | CALL logger_error("FILTER COEF: cut-off frequency "//& |
---|
| 1006 | & "should be greater than or equal to 1. No filter will be apply ") |
---|
| 1007 | filter__2D_blackman(:,:)=0. |
---|
| 1008 | filter__2D_blackman(id_radius+1,id_radius+1)=1. |
---|
| 1009 | ELSE |
---|
| 1010 | DO jj=1,2*id_radius+1 |
---|
| 1011 | DO ji=1,2*id_radius+1 |
---|
| 1012 | |
---|
| 1013 | dl_rad= SQRT( REAL(ji-(id_radius+1),dp)**2 + & |
---|
| 1014 | & REAL(jj-(id_radius+1),dp)**2 ) |
---|
| 1015 | |
---|
| 1016 | IF( dl_rad < dd_cutoff )THEN |
---|
| 1017 | filter__2D_blackman(ji,jj)= 0.42 & |
---|
[5037] | 1018 | & + 0.5 *COS( dp_pi*dl_rad/dd_cutoff) & |
---|
| 1019 | & + 0.08*COS(2*dp_pi*dl_rad/dd_cutoff) |
---|
[4213] | 1020 | ELSE |
---|
| 1021 | filter__2D_blackman(ji,jj)=0 |
---|
| 1022 | ENDIF |
---|
| 1023 | |
---|
| 1024 | ENDDO |
---|
| 1025 | ENDDO |
---|
| 1026 | |
---|
| 1027 | ! normalize |
---|
| 1028 | dl_sum=SUM(filter__2D_blackman(:,:)) |
---|
| 1029 | |
---|
| 1030 | filter__2D_blackman(:,:)=filter__2D_blackman(:,:)/dl_sum |
---|
| 1031 | ENDIF |
---|
| 1032 | |
---|
| 1033 | END FUNCTION filter__2D_blackman |
---|
| 1034 | !------------------------------------------------------------------- |
---|
| 1035 | !> @brief This function compute coefficient for GAUSS filter. |
---|
[5037] | 1036 | !> |
---|
[4213] | 1037 | !> @details |
---|
[5037] | 1038 | !> |
---|
[4213] | 1039 | !> @author J.Paul |
---|
[5037] | 1040 | !> - November, 2013- Initial Version |
---|
| 1041 | !> |
---|
| 1042 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 1043 | !> @param[in] id_radius filter halo radius |
---|
| 1044 | !> @param[in] dd_alpha filter parameter |
---|
| 1045 | !> @return array of gauss filter coefficient |
---|
[4213] | 1046 | !------------------------------------------------------------------- |
---|
| 1047 | FUNCTION filter__1D_gauss(dd_cutoff, id_radius, dd_alpha) |
---|
| 1048 | IMPLICIT NONE |
---|
| 1049 | ! Argument |
---|
| 1050 | REAL(dp) , INTENT(IN) :: dd_cutoff |
---|
| 1051 | INTEGER(i4) , INTENT(IN) :: id_radius |
---|
| 1052 | REAL(dp) , INTENT(IN) :: dd_alpha |
---|
| 1053 | |
---|
| 1054 | ! function |
---|
| 1055 | REAL(dp), DIMENSION(2*id_radius+1) :: filter__1D_gauss |
---|
| 1056 | |
---|
| 1057 | ! local variable |
---|
| 1058 | REAL(dp) :: dl_rad |
---|
| 1059 | REAL(dp) :: dl_sum |
---|
| 1060 | |
---|
| 1061 | ! loop indices |
---|
| 1062 | INTEGER(i4) :: ji |
---|
| 1063 | !---------------------------------------------------------------- |
---|
| 1064 | |
---|
| 1065 | IF( dd_cutoff < 1 )THEN |
---|
| 1066 | CALL logger_error("FILTER COEF: cut-off frequency "//& |
---|
| 1067 | & "should be greater than or equal to 1. No filter will be apply ") |
---|
| 1068 | filter__1D_gauss(:)=0. |
---|
| 1069 | filter__1D_gauss(id_radius+1)=1. |
---|
| 1070 | ELSE |
---|
| 1071 | DO ji=1,2*id_radius+1 |
---|
| 1072 | |
---|
| 1073 | dl_rad= SQRT( REAL(ji-(id_radius+1),dp)**2 ) |
---|
| 1074 | |
---|
| 1075 | filter__1D_gauss(ji)=EXP(-(dd_alpha*dl_rad**2)/(2*dd_cutoff**2)) |
---|
| 1076 | |
---|
| 1077 | ENDDO |
---|
| 1078 | |
---|
| 1079 | ! normalize |
---|
| 1080 | dl_sum=SUM(filter__1D_gauss(:)) |
---|
| 1081 | |
---|
| 1082 | filter__1D_gauss(:)=filter__1D_gauss(:)/dl_sum |
---|
| 1083 | ENDIF |
---|
| 1084 | |
---|
| 1085 | END FUNCTION filter__1D_gauss |
---|
| 1086 | !------------------------------------------------------------------- |
---|
| 1087 | !> @brief This function compute coefficient for GAUSS filter. |
---|
[5037] | 1088 | !> |
---|
[4213] | 1089 | !> @details |
---|
[5037] | 1090 | !> |
---|
[4213] | 1091 | !> @author J.Paul |
---|
[5037] | 1092 | !> - November, 2013- Initial Version |
---|
| 1093 | !> |
---|
| 1094 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 1095 | !> @param[in] id_radius filter halo radius |
---|
| 1096 | !> @param[in] dd_alpha filter parameter |
---|
| 1097 | !> @return array of gauss filter coefficient |
---|
[4213] | 1098 | !------------------------------------------------------------------- |
---|
| 1099 | FUNCTION filter__2D_gauss(dd_cutoff, id_radius, dd_alpha) |
---|
| 1100 | IMPLICIT NONE |
---|
| 1101 | ! Argument |
---|
| 1102 | REAL(dp) , INTENT(IN) :: dd_cutoff |
---|
| 1103 | INTEGER(i4) , INTENT(IN) :: id_radius |
---|
| 1104 | REAL(dp) , INTENT(IN) :: dd_alpha |
---|
| 1105 | |
---|
| 1106 | ! function |
---|
| 1107 | REAL(dp), DIMENSION(2*id_radius+1,2*id_radius+1) :: filter__2D_gauss |
---|
| 1108 | |
---|
| 1109 | ! local variable |
---|
| 1110 | REAL(dp) :: dl_rad |
---|
| 1111 | REAL(dp) :: dl_sum |
---|
| 1112 | |
---|
| 1113 | ! loop indices |
---|
| 1114 | INTEGER(i4) :: ji |
---|
| 1115 | INTEGER(i4) :: jj |
---|
| 1116 | !---------------------------------------------------------------- |
---|
| 1117 | |
---|
| 1118 | IF( dd_cutoff < 1 )THEN |
---|
| 1119 | CALL logger_error("FILTER COEF: cut-off frequency "//& |
---|
| 1120 | & "should be greater than or equal to 1. No filter will be apply ") |
---|
| 1121 | filter__2D_gauss(:,:)=0. |
---|
| 1122 | filter__2D_gauss(id_radius+1,id_radius+1)=1. |
---|
| 1123 | ELSE |
---|
| 1124 | DO jj=1,2*id_radius+1 |
---|
| 1125 | DO ji=1,2*id_radius+1 |
---|
| 1126 | |
---|
| 1127 | dl_rad= SQRT( REAL(ji-(id_radius+1),dp)**2 + & |
---|
| 1128 | & REAL(jj-(id_radius+1),dp)**2 ) |
---|
| 1129 | |
---|
| 1130 | filter__2D_gauss(ji,jj)=EXP(-(dd_alpha*dl_rad**2)/(2*dd_cutoff**2)) |
---|
| 1131 | |
---|
| 1132 | ENDDO |
---|
| 1133 | ENDDO |
---|
| 1134 | |
---|
| 1135 | ! normalize |
---|
| 1136 | dl_sum=SUM(filter__2D_gauss(:,:)) |
---|
| 1137 | |
---|
| 1138 | filter__2D_gauss(:,:)=filter__2D_gauss(:,:)/dl_sum |
---|
| 1139 | ENDIF |
---|
| 1140 | |
---|
| 1141 | END FUNCTION filter__2D_gauss |
---|
| 1142 | !------------------------------------------------------------------- |
---|
| 1143 | !> @brief This function compute coefficient for BUTTERWORTH filter. |
---|
[5037] | 1144 | !> |
---|
[4213] | 1145 | !> @details |
---|
[5037] | 1146 | !> |
---|
[4213] | 1147 | !> @author J.Paul |
---|
[5037] | 1148 | !> - November, 2013- Initial Version |
---|
| 1149 | !> |
---|
| 1150 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 1151 | !> @param[in] id_radius filter halo radius |
---|
| 1152 | !> @param[in] dd_alpha filter parameter |
---|
| 1153 | !> @return array of butterworth filter coefficient |
---|
[4213] | 1154 | !------------------------------------------------------------------- |
---|
| 1155 | FUNCTION filter__1D_butterworth(dd_cutoff, id_radius, dd_alpha) |
---|
| 1156 | IMPLICIT NONE |
---|
| 1157 | ! Argument |
---|
| 1158 | REAL(dp) , INTENT(IN) :: dd_cutoff |
---|
| 1159 | INTEGER(i4) , INTENT(IN) :: id_radius |
---|
| 1160 | REAL(dp) , INTENT(IN) :: dd_alpha |
---|
| 1161 | |
---|
| 1162 | ! function |
---|
| 1163 | REAL(dp), DIMENSION(2*id_radius+1) :: filter__1D_butterworth |
---|
| 1164 | |
---|
| 1165 | ! local variable |
---|
| 1166 | REAL(dp) :: dl_rad |
---|
| 1167 | REAL(dp) :: dl_sum |
---|
| 1168 | |
---|
| 1169 | ! loop indices |
---|
| 1170 | INTEGER(i4) :: ji |
---|
| 1171 | !---------------------------------------------------------------- |
---|
| 1172 | |
---|
| 1173 | IF( dd_cutoff <= 1 )THEN |
---|
| 1174 | CALL logger_error("FILTER COEF: cut-off frequency "//& |
---|
| 1175 | & "should be greater than 1. No filter will be apply ") |
---|
| 1176 | filter__1D_butterworth(:)=0. |
---|
| 1177 | filter__1D_butterworth(id_radius+1)=1. |
---|
| 1178 | ELSE |
---|
| 1179 | DO ji=1,2*id_radius+1 |
---|
| 1180 | |
---|
| 1181 | dl_rad= SQRT( REAL(ji-(id_radius+1),dp)**2 ) |
---|
| 1182 | |
---|
| 1183 | filter__1D_butterworth(ji)= 1 / (1+(dl_rad**2/dd_cutoff**2)**dd_alpha) |
---|
| 1184 | |
---|
| 1185 | ENDDO |
---|
| 1186 | |
---|
| 1187 | ! normalize |
---|
| 1188 | dl_sum=SUM(filter__1D_butterworth(:)) |
---|
| 1189 | |
---|
| 1190 | filter__1D_butterworth(:)=filter__1D_butterworth(:)/dl_sum |
---|
| 1191 | ENDIF |
---|
| 1192 | |
---|
| 1193 | END FUNCTION filter__1D_butterworth |
---|
| 1194 | !------------------------------------------------------------------- |
---|
| 1195 | !> @brief This function compute coefficient for BUTTERWORTH filter. |
---|
[5037] | 1196 | !> |
---|
[4213] | 1197 | !> @details |
---|
[5037] | 1198 | !> |
---|
[4213] | 1199 | !> @author J.Paul |
---|
[5037] | 1200 | !> - November, 2013- Initial Version |
---|
| 1201 | !> |
---|
| 1202 | !> @param[in] dd_cutoff cut-off frequency |
---|
| 1203 | !> @param[in] id_radius filter halo radius |
---|
| 1204 | !> @param[in] dd_alpha filter parameter |
---|
| 1205 | !> @return array of butterworth filter coefficient |
---|
[4213] | 1206 | !------------------------------------------------------------------- |
---|
| 1207 | FUNCTION filter__2D_butterworth(dd_cutoff, id_radius, dd_alpha) |
---|
| 1208 | IMPLICIT NONE |
---|
| 1209 | ! Argument |
---|
| 1210 | REAL(dp) , INTENT(IN) :: dd_cutoff |
---|
| 1211 | INTEGER(i4) , INTENT(IN) :: id_radius |
---|
| 1212 | REAL(dp) , INTENT(IN) :: dd_alpha |
---|
| 1213 | |
---|
| 1214 | ! function |
---|
| 1215 | REAL(dp), DIMENSION(2*id_radius+1,2*id_radius+1) :: filter__2D_butterworth |
---|
| 1216 | |
---|
| 1217 | ! local variable |
---|
| 1218 | REAL(dp) :: dl_rad |
---|
| 1219 | REAL(dp) :: dl_sum |
---|
| 1220 | |
---|
| 1221 | ! loop indices |
---|
| 1222 | INTEGER(i4) :: ji |
---|
| 1223 | INTEGER(i4) :: jj |
---|
| 1224 | !---------------------------------------------------------------- |
---|
| 1225 | |
---|
| 1226 | IF( dd_cutoff <= 1 )THEN |
---|
| 1227 | CALL logger_error("FILTER COEF: cut-off frequency "//& |
---|
| 1228 | & "should be greater than 1. No filter will be apply ") |
---|
| 1229 | filter__2D_butterworth(:,:)=0. |
---|
| 1230 | filter__2D_butterworth(id_radius+1,id_radius+1)=1. |
---|
| 1231 | ELSE |
---|
| 1232 | DO jj=1,2*id_radius+1 |
---|
| 1233 | DO ji=1,2*id_radius+1 |
---|
| 1234 | |
---|
| 1235 | dl_rad= SQRT( REAL(ji-(id_radius+1),dp)**2 + & |
---|
| 1236 | & REAL(jj-(id_radius+1),dp)**2 ) |
---|
| 1237 | |
---|
| 1238 | filter__2D_butterworth(ji,jj)= 1 / (1+(dl_rad**2/dd_cutoff**2)**dd_alpha) |
---|
| 1239 | |
---|
| 1240 | ENDDO |
---|
| 1241 | ENDDO |
---|
| 1242 | |
---|
| 1243 | ! normalize |
---|
| 1244 | dl_sum=SUM(filter__2D_butterworth(:,:)) |
---|
| 1245 | |
---|
| 1246 | filter__2D_butterworth(:,:)=filter__2D_butterworth(:,:)/dl_sum |
---|
| 1247 | ENDIF |
---|
| 1248 | |
---|
| 1249 | END FUNCTION filter__2D_butterworth |
---|
| 1250 | END MODULE filter |
---|
| 1251 | |
---|