Return the rankth smallest (or ordered) value in the input array by first sorting its elements in ascending order (optionally only between the specified indices [lb, ub]).
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Detailed Description

Return the rankth smallest (or ordered) value in the input array by first sorting its elements in ascending order (optionally only between the specified indices [lb, ub]).

By default, the array will be sorted in ascending order, unless the user-specific isSorted() external function is supplied to define a custom sorting criterion.

Parameters

[out]	selection	: The output scalar of either of the same type and kind as the input `array` argument, containing the `rank`th smallest value in the input `array`.
[in,out]	array	: The input/output `contiguous` array of shape `(:)` of either type css_type (scalar string container of default kind SK) or type css_pdt (scalar string container of kind any supported by the processor (e.g., SK, SKA, SKD , or SKU)) or type `character` of kind any supported by the processor (e.g., SK, SKA, SKD , or SKU), or type `logical` of kind any supported by the processor (e.g., LK), or type `integer` of kind any supported by the processor (e.g., IK, IK8, IK16, IK32, or IK64), 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 assumed-length `character` of kind any supported by the processor (e.g., SK, SKA, SKD , or SKU), containing the potentially unsorted sequence of values that is to be sorted and whose `rank`th smallest value is to be reported as the output `selection`. On return, the first `rank`th elements of `array` will be sorted in ascending order or in the user-specified order as determined by the user-supplied external `isSorted()` argument.
[in]	rank	: The input `integer` of default kind IK, representing the index of the `rank`th smallest value in the input `array` or the `rank`th ordered value according to the user-supplied external `logical` function `isSorted()`.
	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 condition within `isSorted`, otherwise, it is `.false.`. If `array` is a Fortran string (i.e., an assumed-length scalar `character`), then both input arguments to `isSorted()` are `character(1,SK)` of default kind SK. The following illustrates the generic interface of `isSorted()`, function isSorted(a,b) result (sorted) use pm_kind, only: IK, LK TYPE(KIND) , intent(in) :: a, b logical(LK) :: sorted end function pm_kind This module defines the relevant Fortran kind type-parameters frequently used in the ParaMonte librar... Definition: pm_kind.F90:268 pm_kind::LK integer, parameter LK The default logical kind in the ParaMonte library: kind(.true.) in Fortran, kind(.... Definition: pm_kind.F90:541 pm_kind::IK integer, parameter IK The default integer kind in the ParaMonte library: int32 in Fortran, c_int32_t in C-Fortran Interoper... Definition: pm_kind.F90:540 where `TYPE(KIND)` is the same as the type and kind of the input argument `array`, which can be one of the following. use pm_container, only: css_pdt, css_type character(, SK), intent(in) :: a, b character(1, SK), intent(in) :: a, b type(css_type) , intent(in) :: a, b type(css_pdt) , intent(in) :: a, b integer(IK) , intent(in) :: a, b real(RK) , intent(in) :: a, b pm_container This module contains the derived types for generating allocatable containers of scalar,... Definition:* pm_container.F90:113 pm_container::css_pdt This is the css_pdt parameterized type for generating instances of container of scalar of string obje... Definition: pm_container.F90:783 pm_container::css_type This is the css_type type for generating instances of container of scalar of string objects. Definition: pm_container.F90:191 where the specified kind type parameters (`SK`, `IK`, `LK`, `CK`, `RK`) can refer to any of the supported kinds by the processor. 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`.)
[in]	lb	: The `optional` input scalar `integer` of default kind IK representing the lower bound of the segment of array below which the array elements are assumed to be in ascending order, such that only the elements starting with and beyond `lb` require sorting. If the initial segment of the input array is ordered, specifying this lower bound will lead to better performance of the algorithm. (optional, default = `1_IK`)
[in]	ub	: The `optional` input scalar `integer` of default kind IK representing the upper bound of the segment of array above which the array elements are assumed to be in ascending order, such that only the elements ending with and below `ub` require sorting. If the final segment of the input array is ordered, specifying this upper bound will lead to better performance of the algorithm. (optional, default = `size(array, kind = IK)`)

Possible calling interfaces ⛓

: use pm_arraySelect, only: setSelected

call setSelected(selection, array, rank, lb = lb, ub = ub)

call setSelected(selection, array, rank, isSorted, lb = lb, ub = ub)

pm_arraySelect::setSelected
Return the rankth smallest (or ordered) value in the input array by first sorting its elements in asc...
Definition: pm_arraySelect.F90:1725

pm_arraySelect
This module contains procedures and generic interfaces for selecting the th smallest element in unsor...
Definition: pm_arraySelect.F90:47

Warning: If lb is present as an input argument, its value must be larger than 0 and less than ub or its default value.
Furthermore, the specified rank must be larger than or equal to the specified value for lb.
If ub is present as an input argument, its value must be less than or equal to the length of array and larger than ub or its default value.
Furthermore, the specified rank must be smaller than or equal to the specified value for ub.
These conditions are verified only if the library is built with the preprocessor macro CHECK_ENABLED=1.; The functions under this generic interface are impure when the external input argument isSorted() is present.; 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.

See also: getSelected
setRankDense
setRankOrdinal
setRankFractional
setRankStandard
setRankModified
setSorted
setSorted
getRemoved
setReversed
getReplaced
setReplaced
setSplit

Example usage ⛓

: 1program example

2

3 use pm_io, only: display_type

4 use pm_kind, only: SK, IK, LK

5 use pm_kind, only: RKL, RKD, RKH

6 use pm_kind, only: IKL, IKS, IKD, IKH

7 use pm_arraySelect, only: setSelected

8

9 implicit none

10

11 integer(IK) , parameter :: NP = 6_IK

12

13 ! 1-dimensional array of real values.

14

15 real(RKL) :: array_RKL (NP), selection_RKL

16 real(RKD) :: array_RKD (NP), selection_RKD

17 real(RKH) :: array_RKH(NP), selection_RKH

18

19 ! 1-dimensional array of integer values.

20

21 integer(IKL) :: array_IKL (NP), selection_IKL

22 integer(IKS) :: array_IKS (NP), selection_IKS

23 integer(IKD) :: array_IKD (NP), selection_IKD

24 integer(IKH) :: array_IKH (NP), selection_IKH

25

26 ! Character array

27

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

29 character(1, SK) :: selectionString_SK

30

31 character(10,SK), allocatable :: array_SK(:)

32 character(10,SK) :: selectionarray_SK

33

34

35 integer(IK) :: i, rank

36

37 type(display_type) :: disp

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

39

40 !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

41 ! Define the unselected arrays.

42 !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

43

44 call random_number(array_RKL); array_RKL = array_RKL - 0.5_RKL

45 call random_number(array_RKD); array_RKD = array_RKD - 0.5_RKD

46 call random_number(array_RKH); array_RKH = array_RKH - 0.5_RKH

47

48 array_IKL = int(array_RKH * huge(0_IKL), kind = IKL)

49 array_IKS = int(array_RKH * huge(0_IKS), kind = IKS)

50 array_IKD = int(array_RKH * huge(0_IKD), kind = IKD)

51 array_IKH = int(array_RKH * huge(0_IKH), kind = IKH)

52

53 !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

54 ! Select arrays in ascending order.

55 !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

56

57 call disp%skip()

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

59 call disp%show("!Select the `rank`th smallest element in the input `integer` Array.")

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

61 call disp%skip()

62

63 rank = 3_IK

64 call disp%skip()

65 call disp%show("rank")

66 call disp%show( rank )

67 call disp%show("array_IKL")

68 call disp%show( array_IKL )

69 call disp%show("call setSelected(selection_IKL, array_IKL, rank)")

70 call setSelected(selection_IKL, array_IKL, rank)

71 call disp%show("selection_IKL")

72 call disp%show( selection_IKL )

73 call disp%show("array_IKL")

74 call disp%show( array_IKL )

75 call disp%skip()

76

77 rank = 4_IK

78 call disp%skip()

79 call disp%show("rank")

80 call disp%show( rank )

81 call disp%show("array_IKS")

82 call disp%show( array_IKS )

83 call disp%show("call setSelected(selection_IKS, array_IKS, rank)")

84 call setSelected(selection_IKS, array_IKS, rank)

85 call disp%show("selection_IKS")

86 call disp%show( selection_IKS )

87 call disp%show("array_IKS")

88 call disp%show( array_IKS )

89 call disp%skip()

90

91 rank = 1_IK

92 call disp%skip()

93 call disp%show("rank")

94 call disp%show( rank )

95 call disp%show("array_IKD")

96 call disp%show( array_IKD )

97 call disp%show("call setSelected(selection_IKD, array_IKD, rank)")

98 call setSelected(selection_IKD, array_IKD, rank)

99 call disp%show("selection_IKD")

100 call disp%show( selection_IKD )

101 call disp%show("array_IKD")

102 call disp%show( array_IKD )

103 call disp%skip()

104

105 rank = 5_IK

106 call disp%skip()

107 call disp%show("rank")

108 call disp%show( rank )

109 call disp%show("array_IKH")

110 call disp%show( array_IKH )

111 call disp%show("call setSelected(selection_IKH, array_IKH, rank)")

112 call setSelected(selection_IKH, array_IKH, rank)

113 call disp%show("selection_IKH")

114 call disp%show( selection_IKH )

115 call disp%show("array_IKH")

116 call disp%show( array_IKH )

117 call disp%skip()

118

119 call disp%skip()

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

121 call disp%show("!Select the `rank`th smallest element in the input `real` Array.")

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

123 call disp%skip()

124

125 rank = 3_IK

126 call disp%skip()

127 call disp%show("rank")

128 call disp%show( rank )

129 call disp%show("array_RKL")

130 call disp%show( array_RKL )

131 call disp%show("call setSelected(selection_RKL, array_RKL, rank)")

132 call setSelected(selection_RKL, array_RKL, rank)

133 call disp%show("selection_RKL")

134 call disp%show( selection_RKL )

135 call disp%show("array_RKL")

136 call disp%show( array_RKL )

137 call disp%skip()

138

139 rank = 2_IK

140 call disp%skip()

141 call disp%show("rank")

142 call disp%show( rank )

143 call disp%show("array_RKD")

144 call disp%show( array_RKD )

145 call disp%show("call setSelected(selection_RKD, array_RKD, rank)")

146 call setSelected(selection_RKD, array_RKD, rank)

147 call disp%show("selection_RKD")

148 call disp%show( selection_RKD )

149 call disp%show("array_RKD")

150 call disp%show( array_RKD )

151 call disp%skip()

152

153 rank = size(array_RKH, kind = IK)

154 call disp%skip()

155 call disp%show("rank")

156 call disp%show( rank )

157 call disp%show("array_RKH")

158 call disp%show( array_RKH )

159 call disp%show("call setSelected(selection_RKH, array_RKH, rank)")

160 call setSelected(selection_RKH, array_RKH, rank)

161 call disp%show("selection_RKH")

162 call disp%show( selection_RKH )

163 call disp%show("array_RKH")

164 call disp%show( array_RKH )

165 call disp%skip()

166

167 call disp%skip()

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

169 call disp%show("!Select the `rank`th smallest element in the input Fortran `string` (character) array.")

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

171 call disp%skip()

172

173 array_SK = [ "ParaMonte " &

174 , "V.2 " &

175 , "is " &

176 , "a " &

177 , "Parallel " &

178 , "Monte " &

179 , "Carlo " &

180 , "and " &

181 , "Machine " &

182 , "Learning " &

183 , "Library. " &

184 ]

185

186 rank = 3_IK

187 call disp%skip()

188 call disp%show("rank")

189 call disp%show( rank )

190 call disp%show("array_SK")

191 call disp%show( array_SK, deliml = SK_"""" )

192 call disp%show("call setSelected(Selectionarray_SK, array_SK, rank)")

193 call setSelected(Selectionarray_SK, array_SK, rank)

194 call disp%show("Selectionarray_SK")

195 call disp%show( Selectionarray_SK, deliml = SK_"""" )

196 call disp%show("array_SK")

197 call disp%show( array_SK, deliml = SK_"""" )

198 call disp%skip()

199

200 call disp%skip()

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

202 call disp%show("!Select the `rank`th smallest element in the input Fortran `string` (character) scalar.")

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

204 call disp%skip()

205

206 rank = 3_IK

207 string_SK = "ParaMonte"

208 call disp%skip()

209 call disp%show("rank")

210 call disp%show( rank )

211 call disp%show("string_SK")

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

213 call disp%show("call setSelected(selectionString_SK, string_SK, rank)")

214 call setSelected(selectionString_SK, string_SK, rank)

215 call disp%show("selectionString_SK")

216 call disp%show( selectionString_SK, deliml = SK_"""" )

217 call disp%show("string_SK")

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

219 call disp%skip()

220

221 call disp%skip()

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

223 call disp%show("!Select the `rank`th smallest element in the input array of containers of Fortran `string` (character) scalars.")

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

225 call disp%skip()

226

227#if PDT_ENABLED

228 block

229 use pm_container, only: css_pdt

230 type(strc) :: selection

231 type(strc), allocatable :: array(:)

232 array = [ strc("ParaMonte") &

233 , strc("V.2") &

234 , strc("is") &

235 , strc("a") &

236 , strc("Parallel") &

237 , strc("Monte") &

238 , strc("Carlo") &

239 , strc("and") &

240 , strc("Machine") &

241 , strc("Learning") &

242 , strc("Library.") &

243 ]

244

245 rank = 3_IK

246 call disp%skip()

247 call disp%show("rank")

248 call disp%show( rank )

249 call disp%show("array")

250 call disp%show( array, deliml = SK_"""" )

251 call disp%show("call setSelected(selection, array, rank)")

252 call setSelected(selection, array, rank)

253 call disp%show("selection")

254 call disp%show( selection, deliml = SK_"""" )

255 call disp%show("array")

256 call disp%show( array, deliml = SK_"""" )

257 call disp%skip()

258 end block

259#endif

260

261 call disp%skip()

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

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

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

265 call disp%skip()

266

267 array_IKL = int([((-2)**i, i = 1, NP)], kind = IKL)

268 rank = 3_IK

269 call disp%skip()

270 call disp%show("!Select the `rank`th largest element via an input custom-designed `isSorted()` function.")

271 call disp%skip()

272 call disp%show("rank")

273 call disp%show( rank )

274 call disp%show("array_IKL")

275 call disp%show( array_IKL )

276 call disp%show("call setSelected(selection_IKL, array_IKL, rank, isSorted_IKL)")

277 call setSelected(selection_IKL, array_IKL, rank, isSorted_IKL)

278 call disp%show("selection_IKL")

279 call disp%show( selection_IKL )

280 call disp%show("array_IKL")

281 call disp%show( array_IKL )

282 call disp%skip()

283

284 call random_number(array_RKL); array_RKL = array_RKL - 0.5_RKL

285 call disp%skip()

286 call disp%show("!Select the `rank`th smallest element solely based on the magnitude of numbers using a custom comparison function.")

287 call disp%skip()

288 rank = 3_IK

289 call disp%show("rank")

290 call disp%show( rank )

291 call disp%show("array_RKL")

292 call disp%show( array_RKL )

293 call disp%show("call setSelected(selection_RKL, array_RKL, rank, isSorted_RKL)")

294 call setSelected(selection_RKL, array_RKL, rank, isSorted_RKL)

295 call disp%show("selection_RKL")

296 call disp%show( selection_RKL )

297 call disp%show("array_RKL")

298 call disp%show( array_RKL )

299 call disp%skip()

300

301 string_SK = "ParaMonte"

302 call disp%skip()

303 call disp%show("!Select the `rank`th smallest element with case-sensitivity (default behavior).")

304 call disp%skip()

305 rank = 3_IK

306 call disp%show("rank")

307 call disp%show( rank )

308 call disp%show("string_SK")

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

310 call disp%show("call setSelected(selectionString_SK, string_SK, rank)")

311 call setSelected(selectionString_SK, string_SK, rank)

312 call disp%show("selectionString_SK")

313 call disp%show( selectionString_SK, deliml = SK_"""" )

314 call disp%show("string_SK")

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

316 call disp%skip()

317

318 string_SK = "ParaMonte"

319 call disp%skip()

320 call disp%show("!Select the `rank`th smallest element WITHOUT case-sensitivity via a custom-designed input comparison function.")

321 call disp%skip()

322 rank = 3_IK

323 call disp%show("rank")

324 call disp%show( rank )

325 call disp%show("string_SK")

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

327 call disp%show("call setSelected(selectionString_SK, string_SK, rank, isSorted_SK)")

328 call setSelected(selectionString_SK, string_SK, rank, isSorted_SK)

329 call disp%show("selectionString_SK")

330 call disp%show( selectionString_SK, deliml = SK_"""" )

331 call disp%show("string_SK")

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

333 call disp%skip()

334

335 call disp%skip()

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

337 call disp%show("!Expedite the selection process for a partially sorted array via optional arguments `lb` or `ub`.")

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

339 call disp%skip()

340

341 array_IKL = [-3_IKL, -1_IKL, -2_IKL, 1_IKL, 2_IKL, 3_IKL] ! all elements after index `3` are sorted (`ub = 3_IK`).

342 rank = 3_IK

343 call disp%skip()

344 call disp%show("rank")

345 call disp%show( rank )

346 call disp%show("array_IKL")

347 call disp%show( array_IKL )

348 call disp%show("call setSelected(selection_IKL, array_IKL, rank, ub = 3_IK) ! all elements after index `3` are sorted (`ub = 3_IK`).")

349 call setSelected(selection_IKL, array_IKL, rank, ub = 3_IK)

350 call disp%show("selection_IKL")

351 call disp%show( selection_IKL )

352 call disp%show("array_IKL")

353 call disp%show( array_IKL )

354 call disp%skip()

355

356 array_IKL = [-3_IKL, -1_IKL, 3_IKL, -2_IKL, 2_IKL, 1_IKL]

357 call disp%skip()

358 call disp%show("!Select the second, fourth, and fifth smallest elements of the array sequentially in order.")

359 call disp%skip()

360 block

361 integer(IK) :: i, RankList(0:3) = [0_IK, 2_IK, 4_IK, 5_IK]

362 call disp%show("RankList")

363 call disp%show( RankList )

364 do i = 1, size(RankList(1:))

365 call disp%skip()

366 call disp%show("RankList(i)")

367 call disp%show( RankList(i) )

368 call disp%show("array_IKL")

369 call disp%show( array_IKL )

370 call disp%show("call setSelected(selection_IKL, array_IKL, rank = RankList(i), lb = RankList(i-1)+1) ! all elements after `lb` need sorting.")

371 call setSelected(selection_IKL, array_IKL, rank = RankList(i), lb = RankList(i-1)+1)

372 call disp%show("selection_IKL")

373 call disp%show( selection_IKL )

374 call disp%show("array_IKL")

375 call disp%show( array_IKL )

376 end do

377 end block

378 call disp%skip()

379

380contains

381

382 function isSorted_IKL(a,b) result(isSorted)

383 use pm_kind, only: LK, IKL

384 integer(IKL) , intent(in) :: a, b

385 logical(LK) :: isSorted

386 isSorted = a > b

387 end function

388

389 function isSorted_RKL(a,b) result(isSorted)

390 use pm_kind, only: LK, IKL

391 integer(IKL) , intent(in) :: a, b

392 logical(LK) :: isSorted

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

394 end function

395

396 function isSorted_SK(a,b) result(isSorted)

397 use pm_strASCII, only: getStrLower

398 use pm_kind, only: LK, SK

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

400 logical(LK) :: isSorted

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

402 end function

403

404end program example

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_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_kind::IKS
integer, parameter IKS
The single-precision integer kind in Fortran mode. On most platforms, this is a 32-bit integer kind.
Definition: pm_kind.F90:563

pm_kind::IKL
integer, parameter IKL
The scalar integer constant of intrinsic default kind, representing the lowest range integer kind typ...
Definition: pm_kind.F90:749

pm_kind::IKH
integer, parameter IKH
The scalar integer constant of intrinsic default kind, representing the highest range integer kind ty...
Definition: pm_kind.F90:828

pm_kind::RKL
integer, parameter RKL
The scalar integer constant of intrinsic default kind, representing the lowest-precision real kind ty...
Definition: pm_kind.F90:779

pm_kind::RKD
integer, parameter RKD
The double precision real kind in Fortran mode. On most platforms, this is an 64-bit real kind.
Definition: pm_kind.F90:568

pm_kind::IKD
integer, parameter IKD
The double precision integer kind in Fortran mode. On most platforms, this is a 64-bit integer kind.
Definition: pm_kind.F90:564

pm_kind::SK
integer, parameter SK
The default character kind in the ParaMonte library: kind("a") in Fortran, c_char in C-Fortran Intero...
Definition: pm_kind.F90:539

pm_kind::RKH
integer, parameter RKH
The scalar integer constant of intrinsic default kind, representing the highest-precision real kind t...
Definition: pm_kind.F90:858

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!Select the `rank`th smallest element in the input `integer` Array.

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

5

6

7rank

8+3

9array_IKL

10-15, +22, +35, -58, -37, +18

11call setSelected(selection_IKL, array_IKL, rank)

12selection_IKL

13-15

14array_IKL

15-58, -37, -15, +18, +22, +35

16

17

18rank

19+4

20array_IKS

21-269016567, +376543992, +608022936, -984665298, -638599535, +307249953

22call setSelected(selection_IKS, array_IKS, rank)

23selection_IKS

24+307249953

25array_IKS

26-269016567, -984665298, -638599535, +307249953, +376543992, +608022936

27

28

29rank

30+1

31array_IKD

32-1155417358637922813, +1617244134978819075, +2611438627240684292, -4229105254552435210, -2742764122318010190, +1319628503186055477

33call setSelected(selection_IKD, array_IKD, rank)

34selection_IKD

35-4229105254552435210

36array_IKD

37-4229105254552435210, -2742764122318010190, -1155417358637922813, +1319628503186055477, +1617244134978819075, +2611438627240684292

38

39

40rank

41+5

42array_IKH

43-21313688313115246263541118042306740224, +29832888662662060948620098916456005632, +48172540020908299828374339394305654784, -78013222291509058970981584993305690112, -50595067818952934224369323711014289408, +24342849270645575027537694594983706624

44call setSelected(selection_IKH, array_IKH, rank)

45selection_IKH

46+29832888662662060948620098916456005632

47array_IKH

48-21313688313115246263541118042306740224, -78013222291509058970981584993305690112, -50595067818952934224369323711014289408, +24342849270645575027537694594983706624, +29832888662662060948620098916456005632, +48172540020908299828374339394305654784

49

50

51!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

52!Select the `rank`th smallest element in the input `real` Array.

53!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

54

55

56rank

57+3

58array_RKL

59-0.203167796, +0.703667402E-1, +0.414119005, -0.392831445, -0.765180588E-2, +0.331009507

60call setSelected(selection_RKL, array_RKL, rank)

61selection_RKL

62-0.765180588E-2

63array_RKL

64-0.392831445, -0.203167796, -0.765180588E-2, +0.703667402E-1, +0.331009507, +0.414119005

65

66

67rank

68+2

69array_RKD

70-0.78607442126927496E-1, +0.47571444967619991, +0.31105935457639422, +0.31554229192827310, -0.17600373113216772, +0.44151907425803649

71call setSelected(selection_RKD, array_RKD, rank)

72selection_RKD

73-0.78607442126927496E-1

74array_RKD

75-0.17600373113216772, -0.78607442126927496E-1, +0.31105935457639422, +0.31554229192827310, +0.47571444967619991, +0.44151907425803649

76

77

78rank

79+6

80array_RKH

81-0.125270601036269912651325575585172178, +0.175341960458347601391938629560310348, +0.283132743296691331013384594967629678, -0.458520510465561249704508686515329256, -0.297371082003248446645118993843835517, +0.143074409002811575804946900434862879

82call setSelected(selection_RKH, array_RKH, rank)

83selection_RKH

84+0.283132743296691331013384594967629678

85array_RKH

86-0.125270601036269912651325575585172178, -0.458520510465561249704508686515329256, -0.297371082003248446645118993843835517, +0.143074409002811575804946900434862879, +0.175341960458347601391938629560310348, +0.283132743296691331013384594967629678

87

88

89!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

90!Select the `rank`th smallest element in the input Fortran `string` (character) array.

91!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

92

93

94rank

95+3

96array_SK

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

98call setSelected(Selectionarray_SK, array_SK, rank)

99Selectionarray_SK

100"Library. "

101array_SK

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

103

104

105!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

106!Select the `rank`th smallest element in the input Fortran `string` (character) scalar.

107!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

108

109

110rank

111+3

112string_SK

113"ParaMonte"

114call setSelected(selectionString_SK, string_SK, rank)

115selectionString_SK

116"a"

117string_SK

118"MPaaenotr"

119

120

121!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

122!Select the `rank`th smallest element in the input array of containers of Fortran `string` (character) scalars.

123!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

124

125

126!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

127!Select according to an input user-defined comparison function.

128!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

129

130

131!Select the `rank`th largest element via an input custom-designed `isSorted()` function.

132

133rank

134+3

135array_IKL

136-2, +4, -8, +16, -32, +64

137call setSelected(selection_IKL, array_IKL, rank, isSorted_IKL)

138selection_IKL

139+4

140array_IKL

141+64, +16, +4, -2, -32, -8

142

143

144!Select the `rank`th smallest element solely based on the magnitude of numbers using a custom comparison function.

145

146rank

147+3

148array_RKL

149+0.144464016, -0.426781118, +0.397746682, +0.481497347, -0.160893619, +0.220654011

150call setSelected(selection_RKL, array_RKL, rank, isSorted_RKL)

151selection_RKL

152+0.481497347

153array_RKL

154+0.220654011, -0.426781118, +0.481497347, -0.160893619, +0.144464016, +0.397746682

155

156

157!Select the `rank`th smallest element with case-sensitivity (default behavior).

158

159rank

160+3

161string_SK

162"ParaMonte"

163call setSelected(selectionString_SK, string_SK, rank)

164selectionString_SK

165"a"

166string_SK

167"MPaaenotr"

168

169

170!Select the `rank`th smallest element WITHOUT case-sensitivity via a custom-designed input comparison function.

171

172rank

173+3

174string_SK

175"ParaMonte"

176call setSelected(selectionString_SK, string_SK, rank, isSorted_SK)

177selectionString_SK

178"e"

179string_SK

180"aaeMrontP"

181

182

183!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

184!Expedite the selection process for a partially sorted array via optional arguments `lb` or `ub`.

185!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

186

187

188rank

189+3

190array_IKL

191-3, -1, -2, +1, +2, +3

192call setSelected(selection_IKL, array_IKL, rank, ub = 3_IK) ! all elements after index `3` are sorted (`ub = 3_IK`).

193selection_IKL

194-1

195array_IKL

196-3, -2, -1, +1, +2, +3

197

198

199!Select the second, fourth, and fifth smallest elements of the array sequentially in order.

200

201RankList

202+0, +2, +4, +5

203

204RankList(i)

205+2

206array_IKL

207-3, -1, +3, -2, +2, +1

208call setSelected(selection_IKL, array_IKL, rank = RankList(i), lb = RankList(i-1)+1) ! all elements after `lb` need sorting.

209selection_IKL

210-2

211array_IKL

212-3, -2, -1, +1, +2, +3

213

214RankList(i)

215+4

216array_IKL

217-3, -2, -1, +1, +2, +3

218call setSelected(selection_IKL, array_IKL, rank = RankList(i), lb = RankList(i-1)+1) ! all elements after `lb` need sorting.

219selection_IKL

220+1

221array_IKL

222-3, -2, -1, +1, +2, +3

223

224RankList(i)

225+5

226array_IKL

227-3, -2, -1, +1, +2, +3

228call setSelected(selection_IKL, array_IKL, rank = RankList(i), lb = RankList(i-1)+1) ! all elements after `lb` need sorting.

229selection_IKL

230+2

231array_IKL

232-3, -2, -1, +1, +2, +3

233

234

Test:: test_pm_arraySelect

Todo:: Low Priority: This generic interface can be extended to higher-rank input objects.

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, September 1, 2017, 12:00 AM, Institute for Computational Engineering and Sciences (ICES), The University of Texas Austin

Definition at line 1725 of file pm_arraySelect.F90.

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

src/fortran/main/pm_arraySelect.F90