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1 function taylor_diagram (wks:graphic ,RATIO[*][*]:numeric, CC[*][*]:numeric \ |
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2 ,rOpts:logical) |
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3 ;-------------------------------------------------------------------- |
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4 ; This version of taylor_diagram supports "paneling" |
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5 ; It requires NCL version 4.2.0.a034 because it uses "gsn_create_legend" |
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6 ;-------------------------------------------------------------------- |
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7 |
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8 ; |
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9 ; Generate a Taylor Diagram: |
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10 ; Generate Multiple Aspects of Model Performance in a Single Diagram |
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11 ; Taylor, K. E., J. Geophys. Res., 106, D7, 7183-7192, 2001 |
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12 ; |
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13 ; An example: |
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14 ; http://www.grida.no/climate/ipcc_tar/wg1/fig8-4.htm |
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15 ; |
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16 ; This expects one or more datasets. The left dimension |
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17 ; is the number of datasets. The rightmost is the number of pts. |
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18 ; |
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19 ; Markers are at: |
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20 ; http://www.ncl.ucar.edu/Document/Graphics/Resources/gs.shtml |
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21 ; |
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22 ; By default, the function can handle up to 10 variable comparisons.. |
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23 ; To expand ... modify the 'Colors' and 'Markers' attributes. |
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24 ; The user can change / add some default settings. |
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25 ; |
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26 ; The defaults that the user can modify: |
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27 ; |
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28 ; rOpts = True |
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29 ; ; 'made-up' resources |
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30 ; rOpts@Colors = (/ "blue" , "red", "green", "cyan", "black" \ |
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31 ; , "torquoise", "brown", "yellow"/) |
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32 ; rOpts@Markers = (/ 2, 3, 6, 14, 9, 12, 7, 4/) ; Marker Indices |
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33 ; rOpts@markerTxOffset = 0.0175 ; offset for text above marker |
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34 ; rOpts@stnRad = (/ 1. /) ; (/ 0.50, 0.75, 1.5 /) |
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35 ; rOpts@centerDiffRMS = False ; True mean draw additional radii from REF |
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36 ; rOpts@caseLabelsFontHeightF = 0.05 |
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37 ; rOpts@varLabelsFontHeightF = 0.013 |
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38 ; rOpts@varLabelsYloc = 0.65 |
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39 ; rOpts@legendWidth = 0.015 |
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40 ; rOpts@legendHeight = 0.030*nCase |
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41 ; rOpts@taylorDraw = True |
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42 ; rOpts@taylorFrame = True |
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43 ; |
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44 ; ; standard NCL resources |
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45 ; rOpts@tiMainString = "Taylor" ; not using title makes plot bigger |
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46 ; rOpts@gsMarkerSizeF = 0.0085 ; marker size |
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47 ; rOpts@gsMarkerThicknessF = 1.0 |
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48 ; rOpts@txFontHeightF = 0.0125 ; text size |
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49 ; rOpts@tiMainFontHeightF = 0.0225 ; tiMainString size |
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50 ; |
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51 ; It returns to the user a graphic object containing the |
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52 ; Taylor background and plotted x/y pts. |
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53 ; This graphic object contains a simple Taylor background appropriate |
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54 ; for standardized data and the markers for the datasets. |
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55 ; ================================================================== |
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56 ; This version allows paneling: |
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57 ; The 'cumbersome' "dum" variables were added by |
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58 ; Adam Phillips to allow paneling via "gsn_add_?". |
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59 ; ================================================================== |
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60 begin |
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61 dimR = dimsizes(RATIO) |
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62 nCase = dimR(0) ; # of cases [models] |
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63 nVar = dimR(1) ; # of variables |
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64 |
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65 ; x/y coordinates for plotting |
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66 X = new ( (/nCase,nVar/) , typeof(RATIO) ) |
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67 Y = new ( (/nCase,nVar/) , typeof(RATIO) ) |
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68 |
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69 do nc=0,nCase-1 |
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70 angle = acos( CC(nc,:) ) ; array operation |
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71 X(nc,:) = RATIO(nc,:)*cos( angle ) |
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72 Y(nc,:) = RATIO(nc,:)*sin( angle ) |
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73 end do |
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74 |
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75 xyMin = 0. |
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76 xyOne = 1.00 |
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77 xyMax = 1.65 |
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78 xyMax_Panel = xyMax+ 0.10 ; paneling purposes |
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79 |
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80 if (rOpts .and. isatt(rOpts,"txFontHeightF")) then |
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81 FontHeightF = rOpts@txFontHeightF ; user wants to specify size |
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82 else |
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83 FontHeightF = 0.0175 |
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84 end if |
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85 |
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86 ; ---------------------------------------------------------------- |
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87 ; Part 1: |
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88 ; base plot: Based upon request of Mark Stevens |
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89 ; basic x-y and draw the 1.0 observed and the outer curve at 1.65 |
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90 ; ---------------------------------------------------------------- |
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91 |
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92 rxy = True |
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93 rxy@gsnDraw = False |
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94 rxy@gsnFrame = False |
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95 rxy@vpHeightF = 0.65 |
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96 rxy@vpWidthF = 0.65 |
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97 rxy@tmYLBorderOn = False |
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98 rxy@tmXBBorderOn = False |
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99 |
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100 rxy@tiYAxisString = "Standardized Deviations (Normalized)" |
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101 rxy@tiYAxisFontHeightF= FontHeightF ; default=0.025 |
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102 |
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103 rxy@tmXBMode = "Explicit" |
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104 rxy@tmXBValues = (/0.0,0.25,0.50,0.75,1.00,1.25,1.5/) ; major tm |
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105 ; default "OBS" or "REF" |
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106 ;rxy@tmXBLabels = (/"0.00","0.25","0.50","0.75","REF" ,"1.25","1.50"/) |
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107 rxy@tmXBLabels = (/" ","0.25","0.50","0.75","REF" ,"1.25","1.50"/) |
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108 if (rOpts .and. isatt(rOpts,"OneX") ) then ; eg: rOpts@OneX="1.00" |
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109 ;rxy@tmXBLabels = (/"0.00","0.25","0.50","0.75",rOpts@OneX,"1.25","1.50"/) |
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110 rxy@tmXBLabels = (/" ","0.25","0.50","0.75",rOpts@OneX,"1.25","1.50"/) |
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111 end if |
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112 |
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113 rxy@tmXBMajorLengthF = 0.015 ; default=0.02 for a vpHeightF=0.6 |
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114 rxy@tmXBLabelFontHeightF = FontHeightF |
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115 rxy@tmXBMinorOn = False |
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116 rxy@trXMaxF = xyMax_Panel |
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117 |
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118 rxy@tmYLMode = "Manual" |
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119 rxy@tmYLMinorOn = False |
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120 rxy@tmYLMajorLengthF = rxy@tmXBMajorLengthF |
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121 rxy@tmYLLabelFontHeightF = FontHeightF |
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122 rxy@tmYLMode = "Explicit" |
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123 rxy@tmYLValues = (/0.0, .25,0.50, 0.75, 1.00, 1.25, 1.5/) ; major tm |
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124 rxy@tmYLLabels = (/"0.00","0.25","0.50","0.75","1.00","1.25","1.50"/) |
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125 ;rxy@tmYLLabels = (/" ","0.25","0.50","0.75","1.00","1.25","1.50"/) |
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126 rxy@trYMaxF = xyMax_Panel |
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127 |
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128 rxy@tmYRBorderOn = False |
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129 rxy@tmYROn = False ; Turn off right tick marks. |
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130 |
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131 rxy@tmXTBorderOn = False |
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132 rxy@tmXTOn = False ; Turn off right tick marks. |
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133 |
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134 rxy@xyDashPatterns = (/ 0 /) ; line characteristics (dash,solid) |
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135 rxy@xyLineThicknesses = (/ 2./) ; choose line thickness |
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136 |
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137 rxy@gsnFrame = False ; Don't advance the frame. |
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138 |
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139 ; create outer 'correlation axis' |
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140 npts = 200 ; arbitrary |
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141 xx = fspan(xyMin,xyMax,npts) |
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142 yy = sqrt(xyMax^2 - xx^2 ) ; outer correlation line (xyMax) |
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143 |
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144 sLabels = (/"0.0","0.1","0.2","0.3","0.4","0.5","0.6" \ ; correlation labels |
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145 ,"0.7","0.8","0.9","0.95","0.99","1.0" /); also, major tm |
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146 cLabels = stringtofloat(sLabels) |
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147 rad = 4.*atan(1.0)/180. |
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148 angC = acos(cLabels)/rad ; angles: correlation labels |
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149 |
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150 if (rOpts .and. isatt(rOpts,"tiMainString")) then |
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151 rxy@tiMainString = rOpts@tiMainString |
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152 ;rxy@tiMainOffsetYF = 0.015 ; default 0.0 |
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153 if (isatt(rOpts,"tiMainFontHeightF")) then |
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154 rxy@tiMainFontHeightF = rOpts@tiMainFontHeightF |
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155 else |
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156 rxy@tiMainFontHeightF = 0.0225 ; default 0.025 |
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157 end if |
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158 end if |
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159 ;;if (rOpts .and. isatt(rOpts,"gsnCenterString")) then |
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160 ;; rxy@gsnCenterString = rOpts@gsnCenterString ; only gsn_csm_xy |
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161 ;;end if |
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162 |
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163 taylor = gsn_xy(wks,xx,yy,rxy) ; Create and draw XY plot. |
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164 |
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165 rsrRes = True |
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166 rsrRes@gsLineThicknessF = rxy@xyLineThicknesses(0) ; line thickness |
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167 rsrRes@gsLineDashPattern = 0 ; solid line pattern |
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168 ; draw x and y to xyMax |
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169 dum0 = gsn_add_polyline(wks,taylor,(/0., 0. /),(/0.,xyMax/), rsrRes) |
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170 dum1 = gsn_add_polyline(wks,taylor,(/0.,xyMax/),(/0., 0. /), rsrRes) |
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171 |
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172 xx = fspan(xyMin, xyOne ,npts) ; draw 1.0 standard radius |
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173 yy = sqrt(xyOne - xx^2) |
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174 rsrRes@gsLineDashPattern = 1 ; dashed line pattern |
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175 rsrRes@gsLineThicknessF = rxy@xyLineThicknesses(0) ; line thickness |
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176 dum2 = gsn_add_polyline(wks,taylor,xx,yy, rsrRes) |
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177 delete(xx) |
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178 delete(yy) |
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179 |
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180 if (rOpts .and. isatt(rOpts,"stnRad") ) then |
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181 rsrRes@gsLineThicknessF = 1 ; rxy@xyLineThicknesses(0) |
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182 nStnRad = dimsizes(rOpts@stnRad) |
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183 |
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184 dum3 = new(nStnRad,graphic) |
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185 do n=0,nStnRad-1 |
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186 rr = rOpts@stnRad(n) |
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187 xx = fspan(xyMin, rr ,npts) |
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188 yy = sqrt(rr^2 - xx^2) |
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189 dum3(n) = gsn_add_polyline(wks,taylor,xx,yy, rsrRes) |
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190 end do |
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191 taylor@$unique_string("dum")$ = dum3 |
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192 |
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193 delete(xx) |
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194 delete(yy) |
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195 end if |
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196 |
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197 getvalues taylor ; get style info from taylor |
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198 "tmYLLabelFont" : tmYLLabelFont ; use for correlation axis |
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199 "tmYLLabelFontHeightF" : tmYLLabelFontHeightF |
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200 end getvalues |
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201 |
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202 ; ---------------------------------------------------------------- |
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203 ; Part 2: |
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204 ; Correlation labels |
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205 ; ---------------------------------------------------------------- |
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206 radC = xyMax ; for correlation labels |
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207 xC = radC*cos(angC*rad) |
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208 yC = radC*sin(angC*rad) |
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209 ; added to get some separation |
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210 xC = xC + 0.020*cos(rad*angC) |
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211 yC = yC + 0.060*sin(rad*angC) |
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212 |
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213 txRes = True ; text mods desired |
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214 txRes@txFontHeightF = FontHeightF ; match YL |
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215 txRes@tmYLLabelFont = tmYLLabelFont ; match YL |
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216 txRes@txAngleF = -45. |
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217 if (.not.isatt(rOpts,"drawCorLabel") .or. rOpts@drawCorLabel) then |
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218 dum4 = gsn_add_text(wks,taylor,"Correlation",1.30,1.30,txRes) |
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219 taylor@$unique_string("dum")$ = dum4 |
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220 end if |
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221 txRes@txAngleF = 0.0 |
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222 txRes@txFontHeightF = FontHeightF*0.50 ; bit smaller |
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223 |
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224 ;;dum0 = gsn_add_text(wks,taylor,"OBSERVED",1.00,0.075,txRes) |
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225 |
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226 plRes = True |
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227 plRes@gsLineThicknessF = 2. |
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228 |
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229 txRes@txJust = "CenterLeft" ; Default="CenterCenter". |
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230 txRes@txFontHeightF = FontHeightF ; match YL |
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231 ;txRes@txBackgroundFillColor = "white" |
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232 |
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233 tmEnd = 0.975 |
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234 radTM = xyMax*tmEnd ; radius end: major TM |
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235 xTM = new( 2 , "float") |
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236 yTM = new( 2 , "float") |
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237 |
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238 dum5 = new(dimsizes(sLabels),graphic) |
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239 dum6 = dum5 |
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240 |
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241 do i=0,dimsizes(sLabels)-1 ; Loop to draw strings |
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242 txRes@txAngleF = angC(i) |
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243 dum5(i) = gsn_add_text(wks, taylor, sLabels(i),xC(i),yC(i),txRes) ; cor label |
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244 xTM(0) = xyMax*cos(angC(i)*rad) ; major tickmarks at |
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245 yTM(0) = xyMax*sin(angC(i)*rad) ; correlation labels |
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246 xTM(1) = radTM*cos(angC(i)*rad) |
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247 yTM(1) = radTM*sin(angC(i)*rad) |
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248 dum6(i) = gsn_add_polyline(wks,taylor,xTM,yTM,plRes) |
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249 end do |
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250 ; minor tm locations |
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251 mTM = (/0.05,0.15,0.25,0.35,0.45,0.55,0.65 \ |
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252 ,0.75,0.85,0.91,0.92,0.93,0.94,0.96,0.97,0.98 /) |
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253 angmTM = acos(mTM)/rad ; angles: correlation labels |
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254 radmTM = xyMax*(1.-(1.-tmEnd)*0.5) ; radius end: minor TM |
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255 |
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256 dum7 = new(dimsizes(mTM),graphic) |
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257 |
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258 do i=0,dimsizes(mTM)-1 ; manually add tm |
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259 xTM(0) = xyMax*cos(angmTM(i)*rad) ; minor tickmarks |
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260 yTM(0) = xyMax*sin(angmTM(i)*rad) |
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261 xTM(1) = radmTM*cos(angmTM(i)*rad) |
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262 yTM(1) = radmTM*sin(angmTM(i)*rad) |
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263 dum7(i) = gsn_add_polyline(wks,taylor,xTM,yTM,plRes) |
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264 end do |
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265 ; added for Wanli |
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266 if (rOpts .and. isatt(rOpts,"ccRays") ) then |
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267 angRL = acos(rOpts@ccRays)/rad ; angles: radial lines |
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268 |
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269 rlRes = True |
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270 rlRes@xyDashPattern = 4 ; line pattern |
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271 rlRes@xyLineThicknessF = 1 ; choose line thickness |
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272 |
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273 dum8 = new(dimsizes(angRL),graphic) |
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274 do i=0,dimsizes(angRL)-1 |
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275 xRL = xyMax*cos(angRL(i)*rad) |
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276 yRL = xyMax*sin(angRL(i)*rad) |
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277 dum8(i) = gsn_add_polyline(wks,taylor,(/0, xRL /),(/0, yRL /),rlRes) |
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278 end do |
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279 taylor@$unique_string("dum")$ = dum8 |
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280 end if |
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281 |
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282 ; ---------------------------------------------------------------- |
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283 ; Part 3: |
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284 ; Concentric about 1.0 on XB axis |
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285 ; I think this is correct. Still test mode. |
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286 ; ---------------------------------------------------------------- |
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287 if (rOpts .and. isatt(rOpts,"centerDiffRMS") \ |
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288 .and. rOpts@centerDiffRMS) then |
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289 respl = True ; polyline mods desired |
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290 respl@gsLineThicknessF = 1.0 ; line thickness |
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291 respl@gsLineColor = "Black" ; line color |
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292 respl@gsLineDashPattern = 2 ; short dash lines |
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293 |
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294 dx = 0.25 |
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295 ncon = 4 ; 0.75, 0.50, 0.25, 0.0 |
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296 npts = 100 ; arbitrary |
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297 ang = fspan(180,360,npts)*rad |
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298 |
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299 dum9 = new(ncon,graphic) |
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300 |
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301 do n=1,ncon |
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302 rr = n*dx ; radius from 1.0 [OBS] abscissa |
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303 xx = 1. + rr*cos(ang) |
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304 yy = fabs( rr*sin(ang) ) |
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305 if (n.le.2) then |
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306 dum9(n-1) = gsn_add_polyline(wks,taylor,xx,yy,respl) |
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307 end if |
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308 if (n.eq.3) then |
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309 n3 = floattointeger( 0.77*npts ) |
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310 dum9(n-1) = gsn_add_polyline(wks,taylor,xx(0:n3),yy(0:n3),respl) |
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311 end if |
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312 if (n.eq.4) then |
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313 n4 = floattointeger( 0.61*npts ) |
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314 dum9(n-1) = gsn_add_polyline(wks,taylor,xx(0:n4),yy(0:n4),respl) |
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315 end if |
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316 end do |
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317 delete(ang) |
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318 delete(xx) |
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319 delete(yy) |
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320 taylor@$unique_string("dum")$ = dum9 |
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321 |
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322 end if |
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323 ; --------------------------------------------------------------- |
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324 ; Part 4: |
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325 ; generic resources that will be applied to all users data points |
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326 ; of course, these can be changed |
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327 ; http://www.ncl.ucar.edu/Document/Graphics/Resources/gs.shtml |
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328 ; --------------------------------------------------------------- |
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329 if (rOpts .and. isatt(rOpts,"Markers")) then |
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330 Markers = rOpts@Markers |
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331 else |
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332 Markers = (/ 4, 6, 8, 0, 9, 12, 7, 2, 11, 16/) ; Marker Indices |
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333 end if |
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334 |
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335 if (rOpts .and. isatt(rOpts,"Colors")) then |
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336 Colors = rOpts@Colors |
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337 else |
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338 Colors = (/ "red", "blue", "green", "cyan", "orange" \ |
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339 , "torquoise", "brown", "yellow", "purple", "black"/) |
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340 end if |
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341 |
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342 if (rOpts .and. isatt(rOpts,"gsMarkerThicknessF")) then |
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343 gsMarkerThicknessF = rOpts@gsMarkerThicknessF |
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344 else |
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345 gsMarkerThicknessF = 1.0 |
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346 end if |
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347 |
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348 if (rOpts .and. isatt(rOpts,"gsMarkerSizeF")) then |
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349 gsMarkerSizeF = rOpts@gsMarkerSizeF |
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350 else |
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351 gsMarkerSizeF = 0.0085 ; Default: 0.007 |
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352 end if |
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353 |
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354 gsRes = True |
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355 gsRes@gsMarkerThicknessF = gsMarkerThicknessF ; default=1.0 |
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356 gsRes@gsMarkerSizeF = gsMarkerSizeF ; Default: 0.007 |
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357 |
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358 ptRes = True ; text options for points |
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359 ptRes@txJust = "BottomCenter"; Default="CenterCenter". |
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360 ptRes@txFontThicknessF = 1.2 ; default=1.00 |
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361 ptRes@txFontHeightF = 0.0125 ; default=0.05 |
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362 if (rOpts .and. isatt(rOpts,"txFontHeightF")) then |
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363 ptRes@txFontHeightF = rOpts@txFontHeightF |
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364 end if |
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365 |
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366 markerTxYOffset = 0.0175 ; default |
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367 if (rOpts .and. isatt(rOpts,"markerTxYOffset")) then |
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368 markerTxYOffset = rOpts@markerTxYOffset ; user defined offset |
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369 end if |
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370 |
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371 dum10 = new((nCase*nVar),graphic) |
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372 dum11 = dum10 |
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373 |
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374 do n=0,nCase-1 |
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375 gsRes@gsMarkerIndex = Markers(n) ; marker style (+) |
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376 gsRes@gsMarkerColor = Colors(n) ; marker color |
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377 ptRes@txFontColor = gsRes@gsMarkerColor |
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378 do i=0,nVar-1 |
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379 dum10(n*nVar+i) = gsn_add_polymarker(wks,taylor,X(n,i),Y(n,i),gsRes) |
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380 dum11(n*nVar+i) = gsn_add_text(wks,taylor,(i+1),X(n,i),Y(n,i)+markerTxYOffset,ptRes) |
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381 end do |
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382 end do |
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383 |
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384 ; --------------------------------------------------------------- |
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385 ; Part 5: ; add case legend and variable labels |
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386 ; --------------------------------------------------------------- |
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387 |
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388 if (rOpts .and. isatt(rOpts,"caseLabels")) then |
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389 |
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390 if (isatt(rOpts,"caseLabelsFontHeightF")) then |
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391 caseLabelsFontHeightF = rOpts@caseLabelsFontHeightF |
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392 else |
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393 caseLabelsFontHeightF = 0.05 |
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394 end if |
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395 |
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396 lgres = True |
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397 lgres@lgMarkerColors = Colors ; colors of markers |
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398 lgres@lgMarkerIndexes = Markers ; Markers |
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399 lgres@lgMarkerSizeF = gsMarkerSizeF ; Marker size |
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400 lgres@lgItemType = "Markers" ; draw markers only |
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401 lgres@lgLabelFontHeightF = caseLabelsFontHeightF ; font height of legend case labels |
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402 |
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403 if (isatt(rOpts,"legendWidth")) then |
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404 lgres@vpWidthF = rOpts@legendWidth |
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405 else |
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406 lgres@vpWidthF = 0.15 ; width of legend (NDC) |
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407 end if |
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408 |
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409 if (isatt(rOpts,"legendHeight")) then |
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410 lgres@vpHeightF = rOpts@legendHeight |
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411 else |
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412 lgres@vpHeightF = 0.030*nCase ; height of legend (NDC) |
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413 end if |
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414 |
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415 lgres@lgPerimOn = False ; turn off perimeter |
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416 nModel = dimsizes( rOpts@caseLabels ) |
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417 lbid = gsn_create_legend(wks,nModel,rOpts@caseLabels,lgres) |
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418 |
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419 amres = True |
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420 amres@amParallelPosF = 0.35 |
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421 amres@amOrthogonalPosF = -0.35 |
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422 annoid1 = gsn_add_annotation(taylor,lbid,amres) ; add legend to plot |
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423 end if |
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424 |
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425 if (rOpts .and. isatt(rOpts,"varLabels")) then |
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426 nVar = dimsizes(rOpts@varLabels) |
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427 |
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428 if (isatt(rOpts,"varLabelsFontHeightF")) then |
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429 varLabelsFontHeightF = rOpts@varLabelsFontHeightF |
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430 else |
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431 varLabelsFontHeightF = 0.013 |
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432 end if |
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433 |
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434 txres = True |
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435 txres@txFontHeightF = varLabelsFontHeightF |
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436 txres@txJust = "CenterLeft" ; justify to the center left |
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437 |
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438 ;delta_y = 0.02 |
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439 delta_y = 0.06 |
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440 if (rOpts .and. isatt(rOpts,"varLabelsYloc")) then |
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441 ys = rOpts@varLabelsYloc ; user specified |
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442 else |
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443 ys = max( (/nVar*delta_y , 0.30/) ) |
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444 end if |
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445 |
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446 |
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447 do i = 1,nVar |
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448 if (i.eq.1) then |
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449 dum12 = new(nVar,graphic) |
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450 end if |
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451 |
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452 dum12(i-1) = gsn_add_text(wks,taylor,i+" - "+rOpts@varLabels(i-1), .125,ys,txres) |
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453 ys = ys- delta_y |
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454 end do |
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455 |
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456 taylor@$unique_string("dum")$ = dum12 |
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457 end if |
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458 |
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459 taylor@$unique_string("dum")$ = dum0 ; x-axis |
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460 taylor@$unique_string("dum")$ = dum1 ; y-axis |
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461 taylor@$unique_string("dum")$ = dum2 ; 1.0 std curve |
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462 taylor@$unique_string("dum")$ = dum5 ; labels [COR] |
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463 taylor@$unique_string("dum")$ = dum6 ; major tm [COR] |
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464 taylor@$unique_string("dum")$ = dum7 ; minor tm |
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465 taylor@$unique_string("dum")$ = dum10 ; markers |
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466 taylor@$unique_string("dum")$ = dum11 ; text |
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467 |
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468 if (.not.isatt(rOpts,"taylorDraw") .or. \ |
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469 (isatt(rOpts,"taylorDraw") .and. rOpts@taylorDraw)) then |
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470 draw(taylor) |
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471 end if |
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472 if (.not.isatt(rOpts,"taylorFrame") .or. \ |
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473 (isatt(rOpts,"taylorFrame") .and. rOpts@taylorFrame)) then |
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474 frame(wks) |
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475 end if |
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476 return(taylor) |
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477 end |
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478 |