Generate and return the probabilistically-rounded to the nearest integer value of the input real number. More...

Detailed Description

Generate and return the probabilistically-rounded to the nearest integer value of the input real number.

Unlike the intrinsic Fortran nint() function, the procedures of this generic interface round the input real number to the nearest integer value probabilistically.
The closer the input val is to its nint(val) result, the more likely it will be rounded to it.
See below for example usage.

Parameters

[in]

val

: The input scalar or array of the same rank as other array-like arguments, of

type real of kind any supported by the processor (e.g., RK, RK32, RK64, or RK128)

containing the number to be rounded probabilistically.

Returns: whole : The output scalar or array of the same rank and shape as the input arguments, of default integer kind IK, containing the probabilistically-rounded input value to the nearest integer.

Possible calling interfaces ⛓

: use pm_mathRound, only: pnint

whole = pnint(val)

whole = pnint(rng, val)

pm_mathRound::pnint
Generate and return the probabilistically-rounded to the nearest integer value of the input real numb...
Definition: pm_mathRound.F90:99

pm_mathRound
This module contains procedures and generic interfaces for rounding real values to whole integers.
Definition: pm_mathRound.F90:30

Remarks: The procedures under discussion are impure.; The procedures under discussion are elemental.

See also: getLog1p
get1mexp

Example usage ⛓

: 1program example

2

3 use pm_kind, only: RKG => RKS ! any real kind is supported.

4 use pm_kind, only: IKG => IKS ! any integer kind is supported.

5 use pm_kind, only: SK, IK, LK, RKD

6 use pm_distUnif, only: getUnifRand

7 use pm_io, only: display_type

8 use pm_mathRound, only: pnint

9 use pm_err, only: setAsserted

10

11 implicit none

12

13 integer(IK) :: i, ival, irep

14 real(RKG), allocatable :: val(:)

15 integer(IKG), allocatable :: whole(:)

16

17 type(display_type) :: disp

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

19

20 do i = 0, 1

21 call disp%skip()

22 call disp%show("i")

23 call disp%show( i )

24 call disp%show("val = (-1)**i * [5., 5.2, 5.5, 5.8, 6.]")

25 val = (-1)**i * [5., 5.2, 5.5, 5.8, 6.]

26 do ival = 1, size(val)

27 call disp%skip()

28 call disp%show("ival")

29 call disp%show( ival )

30 call disp%show("val(ival)")

31 call disp%show( val(ival) )

32 call disp%show("whole = pnint([(val(ival), irep = 1, 20)])")

33 whole = pnint([(val(ival), irep = 1, 20)])

34 call disp%show("whole")

35 call disp%show( whole )

36 call disp%show("call setAsserted(all(abs(val(ival) - whole) < 1))")

37 call setAsserted(all(abs(val(ival) - whole) < 1))

38 call disp%skip()

39 end do

40 end do

41

42end program example

pm_distUnif::getUnifRand
Generate and return a scalar or a contiguous array of rank 1 of length s1 of randomly uniformly distr...
Definition: pm_distUnif.F90:4150

pm_err::setAsserted
Verify the input assertion holds and if it does not, print the (optional) input message on stdout and...
Definition: pm_err.F90:735

pm_err::show
Generate and return an object of type stop_type with the user-specified input attributes.
Definition: pm_err.F90:1618

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

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

pm_err
This module contains classes and procedures for reporting and handling errors.
Definition: pm_err.F90:52

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
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::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::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

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::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::RKS
integer, parameter RKS
The single-precision real kind in Fortran mode. On most platforms, this is an 32-bit real kind.
Definition: pm_kind.F90:567

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

2i

3+0

4val = (-1)**i * [5., 5.2, 5.5, 5.8, 6.]

5

6ival

7+1

8val(ival)

9+5.00000000

10whole = pnint([(val(ival), irep = 1, 20)])

11whole

12+5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5

13call setAsserted(all(abs(val(ival) - whole) < 1))

14

15

16ival

17+2

18val(ival)

19+5.19999981

20whole = pnint([(val(ival), irep = 1, 20)])

21whole

22+5, +5, +5, +6, +6, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +5, +6, +6

23call setAsserted(all(abs(val(ival) - whole) < 1))

24

25

26ival

27+3

28val(ival)

29+5.50000000

30whole = pnint([(val(ival), irep = 1, 20)])

31whole

32+5, +5, +5, +5, +6, +6, +6, +5, +5, +6, +5, +6, +5, +6, +5, +5, +5, +5, +5, +6

33call setAsserted(all(abs(val(ival) - whole) < 1))

34

35

36ival

37+4

38val(ival)

39+5.80000019

40whole = pnint([(val(ival), irep = 1, 20)])

41whole

42+6, +6, +5, +5, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6

43call setAsserted(all(abs(val(ival) - whole) < 1))

44

45

46ival

47+5

48val(ival)

49+6.00000000

50whole = pnint([(val(ival), irep = 1, 20)])

51whole

52+6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6, +6

53call setAsserted(all(abs(val(ival) - whole) < 1))

54

55

56i

57+1

58val = (-1)**i * [5., 5.2, 5.5, 5.8, 6.]

59

60ival

61+1

62val(ival)

63-5.00000000

64whole = pnint([(val(ival), irep = 1, 20)])

65whole

66-5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5

67call setAsserted(all(abs(val(ival) - whole) < 1))

68

69

70ival

71+2

72val(ival)

73-5.19999981

74whole = pnint([(val(ival), irep = 1, 20)])

75whole

76-5, -5, -5, -5, -5, -6, -6, -5, -5, -5, -5, -6, -5, -5, -5, -5, -5, -5, -5, -5

77call setAsserted(all(abs(val(ival) - whole) < 1))

78

79

80ival

81+3

82val(ival)

83-5.50000000

84whole = pnint([(val(ival), irep = 1, 20)])

85whole

86-6, -5, -6, -5, -5, -5, -6, -5, -5, -5, -6, -6, -5, -6, -5, -6, -6, -5, -5, -6

87call setAsserted(all(abs(val(ival) - whole) < 1))

88

89

90ival

91+4

92val(ival)

93-5.80000019

94whole = pnint([(val(ival), irep = 1, 20)])

95whole

96-6, -6, -6, -5, -6, -5, -6, -6, -6, -6, -6, -6, -6, -5, -6, -6, -6, -6, -6, -6

97call setAsserted(all(abs(val(ival) - whole) < 1))

98

99

100ival

101+5

102val(ival)

103-6.00000000

104whole = pnint([(val(ival), irep = 1, 20)])

105whole

106-6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6

107call setAsserted(all(abs(val(ival) - whole) < 1))

108

109

Test:: test_pm_mathIntSqrt

Todo:: Low Priority: This generic interface can be extended to output integer values of non-default kind.

Todo:: Low Priority: This generic interface can be extended to accept custom random number generators.

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 23, 2017, 1:36 AM, Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin

Definition at line 99 of file pm_mathRound.F90.

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

src/fortran/main/pm_mathRound.F90