[fortran/en] Adding a Fortran (95) Tutorial (#2318)

* adding fortran tutorial

* [fortran/en] fixing some typos

* [fortran/en] changed a word

* [fortran/en] changed another word

* [fortran/en] typos and improvements.

* [fortran/en] moving comments around

* [fortran/en] moving print statement introduction to appropriate section

* [fortran/en] changing exit code to generic error code

* [fortran/en] changing bessel_j0 (available from fortran 2008) to log10 (available since fortran 77).

* [fortran/en] being explicit about using cleaner Fortran 2003 notation

* [fortran/en] code whitespace consistency

* [fortran/en] adding examples on implied-DO loops.

* [fortran/en] small adjustment to implied-DO loop example to make it more idiomatic

1 files changed, 452 insertions, 0 deletions

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+---
+language: Fortran
+contributors:
+    - ["Robert Steed", "https://github.com/robochat"]
+filename: learnfortran.f95
+---
+
+Fortran is one of the oldest computer languages. It was developed in the 1950s 
+by IBM for numeric calculations (Fortran is an abreviation of "Formula 
+Translation"). Despite its age, it is still used for high-performance computing
+such as weather prediction. However, the language has changed considerably over
+the years, although mostly maintaining backwards compatibility; well known
+versions are FORTRAN 77, Fortran 90, Fortran 95, Fortran 2003, Fortran 2008 and
+Fortran 2015.
+
+This overview will discuss the features of Fortran 95 since it is the most
+widely implemented of the more recent specifications and the later versions are
+largely similar (by comparison FORTRAN 77 is a very different language).
+
+```fortran
+
+! This is a comment.
+
+
+program example   !declare a program called example.
+
+    ! Code can only exist inside programs, functions, subroutines or modules.
+    ! Using indentation is not required but it is recommended.
+
+
+    ! Declaring Variables
+    ! ===================
+    
+    ! All declarations must come before statements and expressions.
+    
+    implicit none    !prevents dynamic declaration of variables (recommended!)
+    ! Implicit none must be redeclared in every function/program/module...
+    
+    ! IMPORTANT - Fortran is case insensitive.
+    real z
+    REAL Z2
+
+    real :: v,x    ! WARNING: default initial values are compiler dependent!    
+    real :: a = 3, b=2E12, c = 0.01
+    integer :: i, j, k=1, m
+    real, parameter :: PI = 3.1415926535897931    !declare a constant.
+    logical :: y = .TRUE. , n = .FALSE.    !boolean type.
+    complex :: w = (0,1)    !sqrt(-1)
+    character (len=3) :: month    !string of 3 characters.
+    
+    real :: array(6)     !declare an array of 6 reals.
+    real, dimension(4) :: arrayb    !another way to declare an array.
+    integer :: arrayc(-10:10)   !an array with a custom index.
+    real :: array2d(3,2)    !multidimensional array.
+    
+    ! The '::' separators are not always necessary but are recommended.
+
+    ! many other variable attributes also exist:
+    real, pointer :: p    !declare a pointer.
+
+    integer, parameter :: LP = selected_real_kind(20)
+    real (kind = LP) :: d    !long precision variable.
+
+    ! WARNING: initialising variables during declaration causes problems
+    ! in functions since this automatically implies the 'save' attribute
+    ! whereby values are saved between function calls. In general, separate
+    ! declaration and initialisation code except for constants!
+    
+    
+    ! Strings
+    ! =======
+
+    character :: a_char = 'i'
+    character (len = 6) :: a_str = "qwerty"
+    character (len = 30) :: str_b
+    character (len = *), parameter :: a_long_str = "This is a long string."
+    !can have automatic counting of length using (len=*) but only for constants.
+    
+    str_b = a_str // " keyboard"    !concatenate strings using // operator.
+
+
+    ! Assignment & Arithmetic
+    ! =======================
+
+    Z = 1    !assign to variable z declared above (case insensitive).
+    j = 10 + 2 - 3
+    a = 11.54  /  (2.3 * 3.1)
+    b = 2**3    !exponentiation
+
+
+    ! Control Flow Statements & Operators
+    ! ===================================
+
+    ! Single-line if statement
+    if (z == a) b = 4  !condition always need surrounding parentheses.
+
+    if (z /= a) then !z not equal to a
+    ! Other symbolic comparisons are < > <= >= == /=
+      b = 4
+    else if (z .GT. a) then !z greater than a
+    ! Text equivalents to symbol operators are .LT. .GT. .LE. .GE. .EQ. .NE.  
+      b = 6
+    else if (z < a) then !'then' must be on this line.
+      b = 5 !execution block must be on a new line.
+    else
+      b = 10
+    end if !end statement needs the 'if' (or can use 'endif').
+
+
+    if (.NOT. (x < c .AND. v >= a .OR. z == z)) then   !boolean operators.
+      inner: if (.TRUE.) then    !can name if-construct.
+        b = 1
+      endif inner    !then must name endif statement.
+    endif
+
+
+    i = 20
+    select case (i)
+      case (0)    !case i == 0
+        j=0
+      case (1:10)    !cases i is 1 to 10 inclusive.
+        j=1
+      case (11:)    !all cases where i>=11
+        j=2
+      case default
+        j=3
+    end select
+
+
+    month = 'jan'
+    ! Condition can be integer, logical or character type.
+    ! Select constructions can also be named.
+    monthly: select case (month)
+      case ("jan")
+         j = 0
+      case default
+         j = -1
+    end select monthly
+
+
+    do i=2,10,2    !loops from 2 to 10 (inclusive) in increments of 2.
+      innerloop: do j=1,3    !loops can be named too.
+        exit    !quits the loop.
+      end do innerloop
+    cycle    !jump to next loop iteration.
+    enddo
+
+    
+    ! Goto statement exists but it is heavily discouraged though.
+    goto 10    
+    stop 1    !stops code immediately (returning specified condition code).
+10  j = 201    !this line is labeled as line 10
+    
+    
+    ! Arrays
+    ! ======
+    array = (/1,2,3,4,5,6/)
+    array = [1,2,3,4,5,6]    !using Fortran 2003 notation.
+    arrayb = [10.2,3e3,0.41,4e-5]
+    array2d =  reshape([1.0,2.0,3.0,4.0,5.0,6.0], [3,2])
+    
+    ! Fortran array indexing starts from 1.
+    ! (by default but can be defined differently for specific arrays).
+    v = array(1)    !take first element of array.
+    v = array2d(2,2)
+    
+    print *, array(3:5)    !print all elements from 3rd to 5th (inclusive).
+    print *, array2d(1,:)    !print first column of 2d array.
+    
+    array = array*3 + 2    !can apply mathematical expressions to arrays.
+    array = array*array    !array operations occur element-wise.
+    !array = array*array2d    !these arrays would not be compatible.
+    
+    ! There are many built-in functions that operate on arrays.
+    c = dot_product(array,array)    !this is the dot product.
+    ! Use matmul() for matrix maths.
+    c = sum(array)
+    c = maxval(array)
+    print *, minloc(array)
+    c = size(array)
+    print *, shape(array)
+    m = count(array > 0)
+    
+    ! Loop over an array (could have used Product() function normally).
+    v = 1
+    do i = 1, size(array)
+        v = v*array(i)
+    end do
+    
+    ! Conditionally execute element-wise assignments.
+    array = [1,2,3,4,5,6]
+    where (array > 3)
+        array = array + 1
+    elsewhere (array == 2)
+        array = 1
+    elsewhere
+        array = 0
+    end where
+    
+    ! Implied-DO loops are a compact way to create arrays.
+    array = [ (i, i = 1,6) ]    !creates an array of [1,2,3,4,5,6]
+    array = [ (i, i = 1,12,2) ]    !creates an array of [1,3,5,7,9,11]
+    array = [ (i**2, i = 1,6) ]    !creates an array of  [1,4,9,16,25,36]
+    array = [ (4,5, i = 1,3) ]    !creates an array of [4,5,4,5,4,5]
+    
+
+    ! Input/Output
+    ! ============
+    
+    print *, b    !print the variable 'b' to the command line
+
+    ! We can format our printed output.
+    print "(I6)", 320    !prints '   320'
+    print "(I6.4)", 3    !prints '  0003' 
+    print "(F6.3)", 4.32    !prints ' 4.320'
+    
+    ! The letter indicates the expected type and the number afterwards gives 
+    ! the number of characters to use for printing the value.
+    ! Letters can be I (integer), F (real), E (engineering format), 
+    ! L (logical), A (characters) ...
+    print "(I3)", 3200    !print '***' since the number doesn't fit.
+    
+    ! we can have multiple format specifications.
+    print "(I5,F6.2,E6.2)", 120, 43.41, 43.41
+    print "(3I5)", 10, 20, 30    !3 repeats of integers (field width = 5).
+    print "(2(I5,F6.2))", 120, 43.42, 340, 65.3   !repeated grouping of formats.
+
+    ! We can also read input from the terminal.
+    read *, v
+    read "(2F6.2)", v, x    !read two numbers
+
+    ! To read a file.
+    open(unit=11, file="records.txt", status="old") 
+    ! The file is referred to by a 'unit number', an integer that you pick in
+    ! the range 9:99. Status can be one of {'old','replace','new'}.
+    read(unit=11, fmt="(3F10.2)") a, b, c
+    close(11)
+
+    ! To write a file.
+    open(unit=12, file="records.txt", status="replace")
+    write(12, "(F10.2,F10.2,F10.2)") c, b, a
+    close(12)
+
+    ! There are more features available than discussed here and alternative 
+    ! variants due to backwards compatability with older Fortran versions.  
+    
+    
+    ! Built-in Functions
+    ! ==================
+
+    ! Fortran has around 200 functions/subroutines intrinsic to the language.
+    ! Examples - 
+    call cpu_time(v)    !sets 'v' to a time in seconds.
+    k = ior(i,j)    !bitwise OR of 2 integers.
+    v = log10(x)    !log base 10.
+    i = floor(b)    !returns the closest integer less than or equal to x.
+    v = aimag(w)    !imaginary part of a complex number.
+    
+
+    ! Functions & Subroutines
+    ! =======================
+    
+    ! A subroutine runs some code on some input values and can cause
+    ! side-effects or modify the input values.
+    
+    call routine(a,c,v)    !subroutine call.
+    
+    ! A function takes a list of input parameters and returns a single value.
+    ! However the input parameters may still be modified and side effects 
+    ! executed.
+    
+    m = func(3,2,k)  !function call.
+    
+    ! Function calls can also be evoked within expressions.
+    Print *, func2(3,2,k) 
+    
+    ! A pure function is a function that doesn't modify its input parameters
+    ! or cause any side-effects.
+    m = func3(3,2,k)
+
+
+contains ! Zone for defining sub-programs internal to the program.
+
+    ! Fortran has a couple of slightly different ways to define functions.
+
+    integer function func(a,b,c)    !a function returning an integer value.
+        implicit none   !best to use implicit none in function definitions too.
+        integer :: a,b,c !type of input parameters defined inside the function.
+        if (a >= 2) then
+            func = a + b + c !the return variable defaults to the function name.
+            return !can return the current value from the function at any time.
+        endif
+        func = a + c
+        ! Don't need a return statement at the end of a function.
+    end function func
+
+
+    function func2(a,b,c) result(f)    !return variable declared to be 'f'.
+        implicit none
+        integer, intent(in) :: a,b    !can declare and enforce that variables 
+                                      !are not modified by the function.
+        integer, intent(inout) :: c
+        integer :: f     !function return type declared inside the function.
+        integer :: cnt = 0    !GOTCHA - initialisation implies variable is
+                              !saved between function calls.
+        f = a + b - c
+        c = 4    !altering the value of an input variable.
+        cnt  = cnt + 1    !count number of function calls.
+    end function func2
+
+
+    pure function func3(a,b,c)  !a pure function can have no side-effects.
+        implicit none
+        integer, intent(in) :: a,b,c
+        integer :: func3
+        func3 = a*b*c
+    end function func3
+
+
+    subroutine routine(d,e,f)
+        implicit none
+        real, intent(inout) :: f
+        real, intent(in) :: d,e
+        f = 2*d + 3*e + f
+    end subroutine routine
+
+
+end program example   ! End of Program Definition -----------------------
+
+
+! Functions and Subroutines declared externally to the program listing need 
+! to be declared to the program using an Interface declaration (even if they
+! are in the same source file!) (see below). It is easier to define them within
+! the 'contains' section of a module or program.
+
+elemental real function func4(a) result(res)
+! An elemental function is a Pure function that takes a scalar input variable
+! but can also be used on an array where it will be separately applied to all 
+! of the elements of an array and return a new array.
+    real, intent(in) :: a
+    res = a**2 + 1.0
+end function func4
+
+
+! Modules
+! =======
+
+! A module is a useful way to collect related declarations, functions and 
+! subroutines together for reusability.
+
+module fruit
+    real :: apple
+    real :: pear
+    real :: orange
+end module fruit
+
+
+module fruity
+    ! Declarations must be in the order: modules, interfaces, variables.
+    ! (can declare modules and interfaces in programs too).
+    
+    use fruit, only: apple, pear    ! use apple and pear from fruit module.
+    implicit none    !comes after module imports.
+
+    private    !make things private to the module (default is public).
+    ! Declare some variables/functions explicitly public.
+    public :: apple,mycar,create_mycar
+    ! Declare some variables/functions private to the module (redundant here).
+    private :: func4
+    
+    ! Interfaces
+    ! ==========
+    ! Explicitly declare an external function/procedure within the module
+    ! (better in general to put functions/procedures in the 'contains' section).
+    interface
+        elemental real function func4(a) result(res)
+            real, intent(in) :: a
+        end function func4
+    end interface
+    
+    ! Overloaded functions can be defined using named interfaces.
+    interface myabs
+        ! Can use 'module procedure' keyword to include functions already
+        ! defined within the module.
+        module procedure real_abs, complex_abs
+    end interface 
+        
+    ! Derived Data Types
+    ! ==================
+    ! Can create custom structured data collections.
+    type car
+        character (len=100) :: model
+        real :: weight    !(kg)
+        real :: dimensions(3)    !i.e. length-width-height (metres).
+        character :: colour
+    end type car
+    
+    type(car) :: mycar    !declare a variable of your custom type.
+    ! See create_mycar() routine for usage.
+    
+    ! Note: There are no executable statements in modules.
+    
+contains
+
+    subroutine create_mycar(mycar)
+        ! Demonstrates usage of a derived data type.
+        implicit none
+        type(car),intent(out) :: mycar
+        
+        ! Access type elements using '%' operator.
+        mycar%model = "Ford Prefect"
+        mycar%colour = 'r'
+        mycar%weight = 1400
+        mycar%dimensions(1) = 5.0    !default indexing starts from 1!
+        mycar%dimensions(2) = 3.0
+        mycar%dimensions(3) = 1.5
+        
+    end subroutine
+
+    real function real_abs(x)
+        real :: x
+        if (x<0) then
+            real_abs = -x
+        else
+            real_abs = x
+        end if
+    end function real_abs
+    
+    real function complex_abs(z)
+        complex :: z
+        ! long lines can be continued using the continuation character '&'
+        complex_abs = sqrt(real(z)**2 + &
+                                         aimag(z)**2)
+    end function complex_abs
+
+
+end module fruity
+
+```
+
+### More Resources
+
+For more information on Fortran:
+
++ [wikipedia](https://en.wikipedia.org/wiki/Fortran)
++ [Fortran_95_language_features](https://en.wikipedia.org/wiki/Fortran_95_language_features)
++ [fortranwiki.org](http://fortranwiki.org)
++ [www.fortran90.org/](http://www.fortran90.org)
++ [list of Fortran 95 tutorials](http://www.dmoz.org/Computers/Programming/Languages/Fortran/FAQs%2C_Help%2C_and_Tutorials/Fortran_90_and_95/)
++ [Fortran wikibook](https://en.wikibooks.org/wiki/Fortran)
++ [Fortran resources](http://www.fortranplus.co.uk/resources/fortran_resources.pdf)
++ [Mistakes in Fortran 90 Programs That Might Surprise You](http://www.cs.rpi.edu/~szymansk/OOF90/bugs.html)