↜ Back to index Introduction to Numerical Analysis 1

Reference

• Fortranによるプログラミング超入門

• Fotran 90/95 reference

• Introduction to Programming with Fortran: a textbook from Springer, can be downloaded for free from Kanazawa University network

Compiling

To run program, it must be compiled first. For example, save the following in helloworld.f:

      print *,'Hello, world!'
      end

Note that each line has to have 6 empty spaces (空白) at the beginning. This requirement is from the distant past when Fortran programs were written on punch cards (パンチカード).

Then compile it and run it:

$ gfortran helloworld.f
$ ./a.exe
Hello, world!

Or on one line:

$ gfortran helloworld.f && ./a.exe
Hello, world!

Since we live in 21st century and do not use punch cards anymore, I prefer to not have to worry about the empty spaces at the beginning of each line. Simply change the file extension (ファイルの拡張子) to .f90 which enables Fortran 90 style.

helloworld.f90:

print *,'Hello, world!'
end

No need for empty spaces! Other things are the same. Feel free to use either style with the appropriate file extension.

Run it as

$ gfortran helloworld.f90 && ./a.exe
Hello, world!

What follows assumes that the file extension is .f90.

Comments

Anything that follows ! is assumed to be a comment and ignored:

! This is a comment.

Variables

Variables with names starting with i, j, …, n are implicitly defined to be integers, everything else are real numbers.

We can (and should) be more explicit:

implicit none                   ! prevents implicitly declared variables

integer i, j, k                 ! integer

real x, z                       ! real number

real y(5)                       ! array of 5 real numbers
real, dimension(5) :: ym        ! same type as y, but more "modern"
                                ! It is convenient when defining more variables
                                ! with the same dimension.

i = 1                           ! an assignment
x = 2.
y = [ 1., 2., 3., 4., 5. ]      ! an array literal
end

Note that :: is required in the declaration if more than one keywords are before the names of the variables.

Constants

Constants can be declared similarly to variables, by adding the parameter keyword. The value of constants cannot be modified.

integer, parameter :: n = 5

Arithmetic operators

• **: power x^y
• *: multiplication
• /: division
• +: addition
• -: subtraction

Built-in functions

• sqrt(x): square root \sqrt{x}
• abs(x): absolute value |x|
• cos(x), sin(x), tan(x): trigonometric functions
• acos(x), asin(x), atan(x): inverse trigonometric functions

do loop

implicit none
integer :: i
real, dimension(5) :: y         ! array of 5 real numbers

do i=1,5
    y(i) = 2 * i                ! perform this code for i taking values
                                ! 1, 2, 3, 4, 5
enddo

do i=1,5
    print *, y(i)
enddo
end

The loop variable (i in the above program) should be an integer. If you use real you will see a warning that this feature is deprecated, but the program will still run as intended.

You can use exit to stop the loop early:

implicit none
integer i

do i=1,5
    print *, i
    if (i >= 3) then
        exit                    ! exit the do loop
    endif
enddo

print *, "do loop finished"

end

if condition

if (2 > 1) then                       ! 2 > 1 is a test
    print *,'2 is bigger than 1!'     ! executed if test is  true
else
    print *,'Math is wrong!'          ! executed if test is false
endif
end

The else part can be omitted:

if (2 * 2 /= 4) then
    print *,'Math is wrong!'
endif
end

Important. There should be no other commands on the line after then. This might lead to very confusing bugs. Stick to one command per line.

Here are some operators for comparing numbers:

• ==, .eq. equal
• /=, .ne. not equal
• <=, .le. less than or equal to
• >=, .ge. greater than or equal to
• <, .lt. less than
• >, .gt. greater than

We can also combine tests using logical .and., .or. and negate them by .not..

Example. (a < b) .or. (a > b) is the same as a /= b.

Stopping the program early

Use the stop command.

implicit none
real a

print *, 'Enter a nonzero number:'
read *, a
if (a == 0) then
    print *,"a must not be zero!"
    stop
endif

print *, 1/a

end

Modern program structure

The recommended program structure these days is:

program ProgramName
    implicit none                   ! no implicit variables
    ! varible declarations

    ! program content
end program ProgramName

Breaking long lines

Long lines can be broken using & character at the end.

implicit none
integer i
! break a line using &
i = 5 &
    + 3 &
    ! comments are ignored
    - 2

! prints 6 = 5 + 3 - 2
print *, i      

! You can even break strings. Note that there is no space in `very`
print *, 'This is a ve&
    ry long string'
end