Generate and return the Dense rank of the input scalar string or contiguous array of rank 1 in ascending order or in the order specified by the input procedure isSorted() using the Quicksort algorithm such that array(rank) will be in ascending order (or in the requested order as specified by isSorted(). More...

Detailed Description

Generate and return the Dense rank of the input scalar string or contiguous array of rank 1 in ascending order or in the order specified by the input procedure isSorted() using the Quicksort algorithm such that array(rank) will be in ascending order (or in the requested order as specified by isSorted().

This kind of ranking of values is widely known as dense (1223) ranking.
In Dense ranking, items that compare equally receive the same ranking number, and the next items receive the immediately following ranking number.
Equivalently, the ranking number of each item is 1 plus the number of items ranked above it that are distinct with respect to the ranking order.
Thus if A ranks ahead of B and C (which compare equal) which are both ranked ahead of D, then A gets ranking number 1 (first), B gets ranking number 2 (joint second), C also gets ranking number 2 (joint second) and D gets ranking number 3 (Third).
That is, if A < B == C < D, then the sequence ABCD has the Dense ranking 1223.
Dense ranking effective factorizes the array into classes of unique values.
Therefore, the Dense rank of each element of the array is simply its class level.

Parameters

[in]

array

: The input contiguous array of rank 1 of either

type css_pdt (parameterized container of string of kind any supported by the processor (e.g., SK, SKA, SKD , or SKU)) or,
type css_type (container of string of default kind SK) or,
type character of kind any supported by the processor (e.g., SK, SKA, SKD , or SKU) of arbitrary length type parameter or,
type integer of kind any supported by the processor (e.g., IK, IK8, IK16, IK32, or IK64) or,
type logical of kind any supported by the processor (e.g., LK) or,
type complex of kind any supported by the processor (e.g., CK, CK32, CK64, or CK128) or,
type real of kind any supported by the processor (e.g., RK, RK32, RK64, or RK128),

or,

a scalar of type character of kind any supported by the processor (e.g., SK, SKA, SKD , or SKU) of arbitrary length type parameter,

whose elements rankings will be computed and returned.

isSorted

: The external user-specified function that takes two input scalar arguments of the same type and kind as the input array.
It returns a scalar logical of default kind LK that is .true. if the first input scalar argument is sorted with respect to the second input argument according to the user-defined sorting condition within isSorted(), otherwise, it is .false..
If array is a Fortran string (i.e., a scalar character), then both input arguments to isSorted() are single character(1,SKG) where SKG is the kind of array.
The following illustrates the generic interface of isSorted() when the rank of the input array is 1,

function isSorted(a,b) result (sorted)
    use pm_kind, only: SK, IK, LK, CK, RK
    TYPE(KIND)  , intent(in)    :: a, b
    logical(LK)                 :: sorted
end function

where TYPE(KIND) represents the type and kind of the input argument array, which can be one of the following,

use pm_container, only: css_type, css_pdt
use pm_kind, only: SK, IK, LK, CK, RK
character(*, SK)    , intent(in)    :: a, b
integer(IK)         , intent(in)    :: a, b
logical(LK)         , intent(in)    :: a, b
complex(CK)         , intent(in)    :: a, b
real(RK)            , intent(in)    :: a, b
type(css_type)      , intent(in)    :: a, b
type(css_pdt(SK))   , intent(in)    :: a, b

where the kinds SK, IK, LK, CK, RK, can refer to any kind type parameter that is supported by the processor.
The following illustrates the generic interface of isSorted() when the input array is a scalar string,

function isSorted(a,b) result (sorted)
    character(1,SKG), intent(in)    :: a, b
    logical(LK)                     :: sorted
end function

where SKG represents the kind of the input string argument array.
This user-defined equivalence check is extremely useful where a user-defined sorting criterion other than simple ascending order is needed, for example, when the case-sensitivity of an input string or array of strings is irrelevant or when sorting of the absolute values matters excluding the signs of the numbers, or when descending order is desired.
In such cases, user can define a custom sorting condition within the user-defined external function isSorted to achieve the goal.
(optional, the default sorting condition is ascending order, that is a < b.)

Returns: rank(1:size(array) : The output contiguous array of rank 1 of type integer of default kind IK containing the ranks of the corresponding elements of array.
The size of rank matches that of array (or its length type parameter if array is a scalar string).
Read rank(i) as the Dense rank of the ith element of array.

Possible calling interfaces ⛓

: use pm_arrayRank, only: getRankDense

rank(1:size(array)) = getRankDense(array)

rank(1:size(array)) = getRankDense(array, isSorted)

pm_arrayRank::getRankDense
Generate and return the Dense rank of the input scalar string or contiguous array of rank 1 in ascend...
Definition: pm_arrayRank.F90:623

pm_arrayRank
This module contains procedures and generic interfaces for obtaining various rankings of elements of ...
Definition: pm_arrayRank.F90:134

Warning: Note that the definition of isSorted(), if present, must be such that isSorted() .and. .not. isSorted() is equivalent to an equality check for two elements of the input array. This equality check is used to identify ties within the Standard ranking of the input array.; The pure procedure(s) documented herein become impure when the ParaMonte library is compiled with preprocessor macro CHECK_ENABLED=1.
By default, these procedures are pure in release build and impure in debug and testing builds.; The procedures under this generic interface are always impure when the input argument isSorted is present.

See also: setSelected
getRankDense
setRankDense
getRankOrdinal
setRankOrdinal
getRankFractional
setRankFractional
getRankStandard
setRankStandard
getRankModified
setRankModified
setSorted
setSorted

Example usage ⛓

: 1program example

2

3 use pm_io, only: display_type

4 use pm_kind, only: SK, IK, LK, CK, RK ! all other processor kinds are also supported.

5 use pm_distUnif, only: setUnifRand

6 use pm_arrayRank, only: getRankDense

7

8 implicit none

9

10 integer(IK) , parameter :: NP = 5_IK

11

12 ! Vector of indices of the sorted array.

13

14 integer(IK) :: i

15 integer(IK) , allocatable :: Rank(:)

16

17 character(:, SK), allocatable :: string_SK

18 character(9, SK), allocatable :: Vector_SK(:)

19 real(RK) :: Vector_RK(NP)

20 integer(IK) :: Vector_IK(NP)

21 logical(LK) :: Vector_LK(NP)

22

23 type(display_type) :: disp

24 disp = display_type(file = "main.out.F90")

25

26 !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

27 ! Define the unsorted arrays.

28 !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

29

30 !call setUnifRand(Vector_SK, SK_"aaaaaaaaa", SK_"zzzzzzzzz")

31 call setUnifRand(Vector_RK, -0.5_RK, +0.5_RK)

32 call setUnifRand(Vector_IK, 1_IK, 2_IK**NP)

33 call setUnifRand(Vector_LK)

34

35 call disp%skip()

36 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

37 call disp%show("!Rank the characters of a string in ascending order.")

38 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

39 call disp%skip()

40

41 string_SK = SK_"ParaMonte"

42 call allocateRank(len(string_SK))

43

44 call disp%skip()

45 call disp%show("string_SK")

46 call disp%show( string_SK, deliml = SK_"""" )

47 call disp%show("Rank = getRankDense(string_SK)")

48 Rank = getRankDense(string_SK)

49 call disp%show("Rank")

50 call disp%show( Rank )

51 call disp%skip()

52

53 call disp%skip()

54 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

55 call disp%show("!Rank array of strings of the same length in ascending order.")

56 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

57 call disp%skip()

58

59 Vector_SK = [ "ParaMonte" &

60 , "V.2 " &

61 , "is " &

62 , "a " &

63 , "Parallel " &

64 , "Monte " &

65 , "Carlo " &

66 , "and " &

67 , "a " &

68 , "Machine " &

69 , "Learning " &

70 , "Library. " &

71 ]

72

73 call allocateRank(size(Vector_SK))

74 call disp%skip()

75 call disp%show("Vector_SK")

76 call disp%show( Vector_SK, deliml = SK_"""" )

77 call disp%show("Rank = getRankDense(Vector_SK)")

78 Rank = getRankDense(Vector_SK)

79 call disp%show("Rank")

80 call disp%show( Rank )

81 call disp%skip()

82

83 call disp%skip()

84 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

85 call disp%show("!Rank vector of integers of arbitrary kinds in ascending order.")

86 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

87 call disp%skip()

88

89 call allocateRank(size(Vector_IK))

90 call disp%skip()

91 call disp%show("Vector_IK")

92 call disp%show( Vector_IK )

93 call disp%show("Rank = getRankDense(Vector_IK)")

94 Rank = getRankDense(Vector_IK)

95 call disp%show("Rank")

96 call disp%show( Rank )

97 call disp%skip()

98

99 call allocateRank(size(Vector_IK))

100 call disp%skip()

101 call disp%show("Vector_IK = [1_IK, 2_IK, 3_IK, 2_IK, 1_IK]")

102 Vector_IK = [1_IK, 2_IK, 3_IK, 2_IK, 1_IK]

103 call disp%show("Rank = getRankDense(Vector_IK)")

104 Rank = getRankDense(Vector_IK)

105 call disp%show("Rank")

106 call disp%show( Rank )

107 call disp%skip()

108

109 call disp%skip()

110 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

111 call disp%show("!Rank vector of logicals of arbitrary kinds in ascending order.")

112 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

113 call disp%skip()

114

115 call allocateRank(size(Vector_LK))

116 call disp%skip()

117 call disp%show("Vector_LK")

118 call disp%show( Vector_LK )

119 call disp%show("Rank = getRankDense(Vector_LK)")

120 Rank = getRankDense(Vector_LK)

121 call disp%show("Rank")

122 call disp%show( Rank )

123 call disp%skip()

124

125 call disp%skip()

126 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

127 call disp%show("!Rank arrays of reals of arbitrary kinds in ascending order.")

128 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

129 call disp%skip()

130

131 call allocateRank(size(Vector_RK))

132 call disp%skip()

133 call disp%show("Vector_RK")

134 call disp%show( Vector_RK )

135 call disp%show("Rank = getRankDense(Vector_RK)")

136 Rank = getRankDense(Vector_RK)

137 call disp%show("Rank")

138 call disp%show( Rank )

139 call disp%skip()

140

141 block

142 real, allocatable :: Vector_RK(:)

143 Vector_RK = [1.0, 1.0, 2.0, 3.0, 3.0, 4.0, 5.0, 5.0, 5.0]

144 call allocateRank(size(Vector_RK))

145 call disp%skip()

146 call disp%show("Vector_RK")

147 call disp%show( Vector_RK )

148 call disp%show("Rank = getRankDense(Vector_RK)")

149 Rank = getRankDense(Vector_RK)

150 call disp%show("Rank")

151 call disp%show( Rank )

152 call disp%skip()

153 end block

154

155 call disp%skip()

156 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

157 call disp%show("!Rank according to an input user-defined comparison function.")

158 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

159 call disp%skip()

160

161 Vector_IK = int([(i, i = 1_IK, NP)], kind = IK)

162 call allocateRank(size(Vector_IK))

163 call disp%skip()

164 call disp%show("!Rank in DESCENDING (decreasing) order via an input custom-designed `isSorted()` function.")

165 call disp%skip()

166 call disp%show("Vector_IK")

167 call disp%show( Vector_IK )

168 call disp%show("Rank = getRankDense(Vector_IK, isSorted_IK)")

169 Rank = getRankDense(Vector_IK, isSorted_IK)

170 call disp%show("Rank")

171 call disp%show( Rank )

172 call disp%skip()

173

174 call random_number(Vector_RK); Vector_RK = Vector_RK - 0.5_RK

175 call allocateRank(size(Vector_RK))

176 call disp%skip()

177 call disp%show("!Rank in ascending order solely based on the magnitude of numbers using a custom comparison function.")

178 call disp%skip()

179 call disp%show("Vector_RK")

180 call disp%show( Vector_RK )

181 call disp%show("Rank = getRankDense(Vector_RK, isSorted_RK)")

182 Rank = getRankDense(Vector_RK, isSorted_RK)

183 call disp%show("Rank")

184 call disp%show( Rank )

185 call disp%skip()

186

187 string_SK = "ParaMonte"

188 call allocateRank(len(string_SK))

189 call disp%skip()

190 call disp%show("!Rank string in ascending order without case-sensitivity via a custom-designed input comparison function.")

191 call disp%skip()

192 call disp%show("string_SK")

193 call disp%show( string_SK, deliml = SK_"""" )

194 call disp%show("Rank = getRankDense(string_SK, isSortedChar1)")

195 Rank = getRankDense(string_SK, isSortedChar1)

196 call disp%show("Rank")

197 call disp%show( Rank )

198 call disp%skip()

199

200 string_SK = "2211"

201 call allocateRank(len(string_SK))

202 call disp%skip()

203 call disp%show("!Rank string in ascending order without case-sensitivity via a custom-designed input comparison function.")

204 call disp%skip()

205 call disp%show("string_SK")

206 call disp%show( string_SK, deliml = SK_"""" )

207 call disp%show("Rank = getRankDense(string_SK, isSortedChar2)")

208 Rank = getRankDense(string_SK, isSortedChar2)

209 call disp%show("Rank")

210 call disp%show( Rank )

211 call disp%skip()

212

213#if PDT_ENABLED

214 call disp%skip()

215 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

216 call disp%show("!Rank array of strings of varying length in ascending order.")

217 call disp%show("!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%")

218 call disp%skip()

219

220 block

221 use pm_container, only: css_pdt

222 type(css_pdt(SK)), allocatable :: cssvec(:)

223 cssvec = [ css_pdt(SK_"ParaMonte") &

224 , css_pdt(SK_"V.2") &

225 , css_pdt(SK_"is") &

226 , css_pdt(SK_"a") &

227 , css_pdt(SK_"Parallel") &

228 , css_pdt(SK_"Monte") &

229 , css_pdt(SK_"Carlo") &

230 , css_pdt(SK_"and") &

231 , css_pdt(SK_"a") &

232 , css_pdt(SK_"Machine") &

233 , css_pdt(SK_"Learning") &

234 , css_pdt(SK_"Library.") &

235 ]

236 call allocateRank(size(cssvec))

237 call disp%skip()

238 call disp%show("cssvec")

239 call disp%show( cssvec, deliml = SK_"""" )

240 call disp%show("Rank = getRankDense(cssvec)")

241 Rank = getRankDense(cssvec)

242 call disp%show("Rank")

243 call disp%show( Rank )

244 call disp%skip()

245 end block

246#endif

247

248contains

249

250 function isSorted_IK(a,b) result(isSorted)

251 use pm_kind, only: LK, IK

252 integer(IK) , intent(in) :: a, b

253 logical(LK) :: isSorted

254 isSorted = a > b

255 end function

256

257 function isSorted_RK(a,b) result(isSorted)

258 use pm_kind, only: LK, IK

259 integer(IK) , intent(in) :: a, b

260 logical(LK) :: isSorted

261 isSorted = abs(a) < abs(b)

262 end function

263

264 function isSortedChar1(a,b) result(isSorted)

265 use pm_strASCII, only: getStrLower

266 use pm_kind, only: LK, SK

267 character(1, SK), intent(in) :: a, b

268 logical(LK) :: isSorted

269 isSorted = getStrLower(a) < getStrLower(b)

270 end function

271

272 function isSortedChar2(a,b) result(isSorted)

273 use pm_kind, only: LK, SK

274 character(1, SK), intent(in) :: a, b

275 logical(LK) :: isSorted

276 isSorted = a < b

277 end function

278

279 subroutine allocateRank(size)

280 integer, intent(in) :: size

281 if (allocated(Rank)) deallocate(Rank)

282 allocate(Rank(size))

283 end subroutine

284

285end program example

pm_distUnif::setUnifRand
Return a uniform random scalar or contiguous array of arbitrary rank of randomly uniformly distribute...
Definition: pm_distUnif.F90:11083

pm_io::show
This is a generic method of the derived type display_type with pass attribute.
Definition: pm_io.F90:11726

pm_io::skip
This is a generic method of the derived type display_type with pass attribute.
Definition: pm_io.F90:11508

pm_strASCII::getStrLower
Generate and return the input string where the uppercase English alphabets are all converted to lower...
Definition: pm_strASCII.F90:4092

pm_distUnif
This module contains classes and procedures for computing various statistical quantities related to t...
Definition: pm_distUnif.F90:274

pm_io
This module contains classes and procedures for input/output (IO) or generic display operations on st...
Definition: pm_io.F90:252

pm_io::disp
type(display_type) disp
This is a scalar module variable an object of type display_type for general display.
Definition: pm_io.F90:11393

pm_strASCII
This module contains the uncommon and hardly representable ASCII characters as well as procedures for...
Definition: pm_strASCII.F90:61

pm_io::display_type
Generate and return an object of type display_type.
Definition: pm_io.F90:10282

Example Unix compile command via Intel ifort compiler ⛓
1#!/usr/bin/env sh

2rm main.exe

3ifort -fpp -standard-semantics -O3 -Wl,-rpath,../../../lib -I../../../inc main.F90 ../../../lib/libparamonte* -o main.exe

4./main.exe

Example Windows Batch compile command via Intel ifort compiler ⛓
1del main.exe

2set PATH=..\..\..\lib;%PATH%

3ifort /fpp /standard-semantics /O3 /I:..\..\..\include main.F90 ..\..\..\lib\libparamonte*.lib /exe:main.exe

4main.exe

Example Unix / MinGW compile command via GNU gfortran compiler ⛓
1#!/usr/bin/env sh

2rm main.exe

3gfortran -cpp -ffree-line-length-none -O3 -Wl,-rpath,../../../lib -I../../../inc main.F90 ../../../lib/libparamonte* -o main.exe

4./main.exe

Example output ⛓
1

2!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

3!Rank the characters of a string in ascending order.

4!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

5

6

7string_SK

8"ParaMonte"

9Rank = getRankDense(string_SK)

10Rank

11+2, +3, +7, +3, +1, +6, +5, +8, +4

12

13

14!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

15!Rank array of strings of the same length in ascending order.

16!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

17

18

19Vector_SK

20"ParaMonte", "V.2 ", "is ", "a ", "Parallel ", "Monte ", "Carlo ", "and ", "a ", "Machine ", "Learning ", "Library. "

21Rank = getRankDense(Vector_SK)

22Rank

23+6, +8, +11, +9, +7, +5, +1, +10, +9, +4, +2, +3

24

25

26!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

27!Rank vector of integers of arbitrary kinds in ascending order.

28!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

29

30

31Vector_IK

32+25, +2, +19, +12, +26

33Rank = getRankDense(Vector_IK)

34Rank

35+4, +1, +3, +2, +5

36

37

38Vector_IK = [1_IK, 2_IK, 3_IK, 2_IK, 1_IK]

39Rank = getRankDense(Vector_IK)

40Rank

41+1, +2, +3, +2, +1

42

43

44!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

45!Rank vector of logicals of arbitrary kinds in ascending order.

46!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

47

48

49Vector_LK

50F, F, F, F, T

51Rank = getRankDense(Vector_LK)

52Rank

53+1, +1, +1, +1, +2

54

55

56!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

57!Rank arrays of reals of arbitrary kinds in ascending order.

58!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

59

60

61Vector_RK

62-0.94693257130681774E-1, -0.55624805879683770E-3, +0.84283702441724340E-1, +0.43685392748571550, -0.24878493354197928

63Rank = getRankDense(Vector_RK)

64Rank

65+2, +3, +4, +5, +1

66

67

68Vector_RK

69+1.00000000, +1.00000000, +2.00000000, +3.00000000, +3.00000000, +4.00000000, +5.00000000, +5.00000000, +5.00000000

70Rank = getRankDense(Vector_RK)

71Rank

72+1, +1, +2, +3, +3, +4, +5, +5, +5

73

74

75!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

76!Rank according to an input user-defined comparison function.

77!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

78

79

80!Rank in DESCENDING (decreasing) order via an input custom-designed `isSorted()` function.

81

82Vector_IK

83+1, +2, +3, +4, +5

84Rank = getRankDense(Vector_IK, isSorted_IK)

85Rank

86+5, +4, +3, +2, +1

87

88

89!Rank in ascending order solely based on the magnitude of numbers using a custom comparison function.

90

91Vector_RK

92+0.45028032165384679, +0.48394240767979357, -0.93782865053366082E-1, -0.50924867613845626E-1, +0.24924778646526413

93Rank = getRankDense(Vector_RK, isSorted_RK)

94Rank

95+5, +4, +3, +1, +2

96

97

98!Rank string in ascending order without case-sensitivity via a custom-designed input comparison function.

99

100string_SK

101"ParaMonte"

102Rank = getRankDense(string_SK, isSortedChar1)

103Rank

104+6, +1, +7, +1, +3, +5, +4, +8, +2

105

106

107!Rank string in ascending order without case-sensitivity via a custom-designed input comparison function.

108

109string_SK

110"2211"

111Rank = getRankDense(string_SK, isSortedChar2)

112Rank

113+2, +2, +1, +1

114

115

Test:: test_pm_arrayRank

Bug:: Status: Unresolved
Source: Intel Classic Fortran Compiler ifort version 2021.5
Description: See pm_arraySplit for the description of a relevant bug in PDT name aliasing when compiled with Intel ifort 2021.5 that also applies to this module.
Remedy (as of ParaMonte Library version 2.0.0): See pm_arraySplit for the remedy.

Todo:: Low Priority: The current bypass for the PDT name aliasing bug can be reverted back to PDT name aliasing once the ifort bug is resolved.

Todo:: Low Priority: A test should be implemented for arrays of size that can be represented only by an IKD integer.

Final Remarks ⛓

If you believe this algorithm or its documentation can be improved, we appreciate your contribution and help to edit this page's documentation and source file on GitHub.
For details on the naming abbreviations, see this page.
For details on the naming conventions, see this page.
This software is distributed under the MIT license with additional terms outlined below.

If you use any parts or concepts from this library to any extent, please acknowledge the usage by citing the relevant publications of the ParaMonte library.
If you regenerate any parts/ideas from this library in a programming environment other than those currently supported by this ParaMonte library (i.e., other than C, C++, Fortran, MATLAB, Python, R), please also ask the end users to cite this original ParaMonte library.

This software is available to the public under a highly permissive license.
Help us justify its continued development and maintenance by acknowledging its benefit to society, distributing it, and contributing to it.

Copyright: Computational Data Science Lab

Author:: Amir Shahmoradi, April 21, 2017, 1:54 AM, Institute for Computational Engineering and Sciences (ICES), The University of Texas Austin

Definition at line 623 of file pm_arrayRank.F90.

The documentation for this interface was generated from the following file:

src/fortran/main/pm_arrayRank.F90