Fortran 95 language features explained
This is an overview of Fortran 95 language features. Included are the additional features of TR-15581:Enhanced Data Type Facilities, which have been universally implemented. Old features that have been superseded by new ones are not described few of those historic features are used in modern programs although most have been retained in the language to maintain backward compatibility. The current standard is Fortran 2023; many of its new features are still being implemented in compilers.[1]
Language elements
Fortran is case-insensitive. The convention of writing Fortran keywords in upper case and all other names in lower case is adopted in this article; except, by way of contrast, in the input/output descriptions (Data transfer and Operations on external files).
Basics
The basic component of the Fortran language is its character set. Its members are
- the letters A ... Z and a ... z (which are equivalent outside a character context)
- the numerals 0 ... 9
- the underscore _
- the special characters
= : + blank - * / [ ], . $ ' ! " % & ; < > ?
Tokens that have a syntactic meaning to the compiler are built from those components. There are six classes of tokens:
Label | 123 |
---|
Constant | 123.456789_long |
---|
Keyword | ALLOCATABLE |
---|
Operator | .add. |
---|
Name | solve_equation (up to 31 characters, including _) |
---|
Separator | / (/ /) [ ], = => : :: ; % | |
---|
From the tokens, statements are built. These can be coded using the new free source form which does not require positioning in a rigid column structure: FUNCTION string_concat(s1, s2) ! This is a comment TYPE (string), INTENT(IN) :: s1, s2 TYPE (string) string_concat string_concat%string_data = s1%string_data(1:s1%length) // & s2%string_data(1:s2%length) ! This is a continuation string_concat%length = s1%length + s2%lengthEND FUNCTION string_concat
Note the trailing comments and the trailing continuation mark. There may be 39 continuation lines, and 132 characters per line. Blanks are significant. Where a token or character constant is split across two lines: ... start_of& &_name ... 'a very long & &string'a leading &
on the continued line is also required.
Intrinsic data types
Fortran has five intrinsic data types: INTEGER
, REAL
, COMPLEX
, LOGICAL
and CHARACTER
. Each of those types can be additionally characterized by a kind. Kind, basically, defines internal representation of the type: for the three numeric types, it defines the precision and range, and for the other two, the specifics of storage representation. Thus, it is an abstract concept which models the limits of data types' representation; it is expressed as a member of a set of whole numbers (e.g. it may be for integers, denoting bytes of storage), but those values are not specified by the Standard and not portable. For every type, there is a default kind, which is used if no kind is explicitly specified. For each intrinsic type, there is a corresponding form of literal constant. The numeric types INTEGER
and REAL
can only be signed (there is no concept of sign for type COMPLEX
).
Literal constants and kinds
INTEGER
Integer literal constants of the default kind take the form1 0 -999 32767 +10
Kind can be defined as a named constant. If the desired range is ±10kind, the portable syntax for defining the appropriate kind, two_bytes
isINTEGER, PARAMETER :: two_bytes = SELECTED_INT_KIND(4)
that allows subsequent definition of constants of the form-1234_two_bytes +1_two_bytes
Here, two_bytes
is the kind type parameter; it can also be an explicit default integer literal constant, like -1234_2but such use is non-portable.
The KIND function supplies the value of a kind type parameter: KIND(1) KIND(1_two_bytes)
and the RANGE
function supplies the actual decimal range (so the user must make the actual mapping to bytes):RANGE(1_two_bytes)
Also, in DATA
(initialization) statements, binary (B), octal (O) and hexadecimal (Z) constants may be used (often informally referred to as "BOZ constants"):B'01010101' O'01234567' Z'10fa'
REAL
There are at least two real kindsthe default and one with greater precision (this replaces DOUBLE PRECISION). SELECTED_REAL_KIND functions returns the kind number for desired range and precision; for at least 9 decimal digits of precision and a range of 10−99 to 1099, it can be specified as:INTEGER, PARAMETER :: long = SELECTED_REAL_KIND(9, 99)and literals subsequently specified as1.7_longAlso, there are the intrinsic functions KIND(1.7_long) PRECISION(1.7_long) RANGE(1.7_long)that give in turn the kind type value, the actual precision (here at least 9), and the actual range (here at least 99).
COMPLEX
COMPLEX
data type is built of two integer or real components: (1, 3.7_long)
LOGICAL
There are only two basic values of logical constants: .TRUE.
and .FALSE.
. Here, there may also be different kinds. Logicals don't have their own kind inquiry functions, but use the kinds specified for INTEGER
s; default kind of LOGICAL
is the same as of INTEGER..FALSE. .true._one_byte
and the KIND
function operates as expected: KIND(.TRUE.)
CHARACTER
The forms of literal constants for CHARACTER
data type are'A string' "Another" 'A "quote"'
(the last being an empty string). Different kinds are allowed (for example, to distinguish ASCII and UNICODE strings), but not widely supported by compilers. Again, the kind value is given by the KIND
function: KIND('ASCII')
Number model and intrinsic functions
The numeric types are based on number models with associated inquiry functions (whose values are independent of the values of their arguments; arguments are used only to provide kind). These functions are important for portable numerical software:
DIGITS(X) | Number of significant digits |
EPSILON(X) | Almost negligible compared to one (real) |
HUGE(X) | Largest number |
MAXEXPONENT(X) | Maximum model exponent (real) |
MINEXPONENT(X) | Minimum model exponent (real) |
PRECISION(X) | Decimal precision (real, complex) |
RADIX(X) | Base of the model |
RANGE(X) | Decimal exponent range |
TINY(X) | Smallest positive number (real) | |
Scalar variables
Scalar variables corresponding to the five intrinsic types are specified as follows:INTEGER(KIND=2) :: iREAL(KIND=long) :: aCOMPLEX :: currentLOGICAL :: PravdaCHARACTER(LEN=20) :: wordCHARACTER(LEN=2, KIND=Kanji) :: kanji_word
where the optional KIND
parameter specifies a non-default kind, and the ::
notation delimits the type and attributes from variable name(s) and their optional initial values, allowing full variable specification and initialization to be typed in one statement (in previous standards, attributes and initializers had to be declared in several statements). While it is not required in above examples (as there are no additional attributes and initialization), most Fortran-90 programmers acquire the habit to use it everywhere.
LEN= specifier is applicable only to CHARACTER
s and specifies the string length (replacing the older *len
form). The explicit KIND=
and LEN=
specifiers are optional:CHARACTER(2, Kanji) :: kanji_wordworks just as well.
There are some other interesting character features. Just as a substring as in CHARACTER(80) :: line ... = line(i:i) ! substringwas previously possible, so now is the substring'0123456789'(i:i)
Also, zero-length strings are allowed: line(i:i-1) ! zero-length stringFinally, there is a set of intrinsic character functions, examples being
ACHAR | IACHAR (for ASCII set) |
ADJUSTL | ADJUSTR |
LEN_TRIM | INDEX(s1, s2, BACK=.TRUE.) |
REPEAT | SCAN (for one of a set) |
TRIM | VERIFY (for all of a set) | |
Derived data types
For derived data types, the form of the type must be defined first: TYPE person CHARACTER(10) name REAL ageEND TYPE person
and then, variables of that type can be defined: TYPE(person) you, me
To select components of a derived type, %
qualifier is used: you%age
Literal constants of derived types have the form TypeName(1stComponentLiteral, 2ndComponentLiteral, ...)
:you = person('Smith', 23.5)which is known as a structure constructor. Definitions may refer to a previously defined type: TYPE point REAL x, yEND TYPE pointTYPE triangle TYPE(point) a, b, cEND TYPE triangle
and for a variable of type triangle, as in TYPE(triangle) teach component of type point
is accessed ast%a t%b t%cwhich, in turn, have ultimate components of type real: t%a%x t%a%y t%b%x etc.(Note that the %
qualifier was chosen rather than dot (.
) because of potential ambiguity with operator notation, like .OR.
).
Implicit and explicit typing
Unless specified otherwise, all variables starting with letters I, J, K, L, M and N are default INTEGER
s, and all others are default REAL
; other data types must be explicitly declared. This is known as implicit typing and is a heritage of early FORTRAN days. Those defaults can be overridden by IMPLICIT TypeName (CharacterRange)
statements, like:IMPLICIT COMPLEX(Z)IMPLICIT CHARACTER(A-B)IMPLICIT REAL(C-H,N-Y)However, it is a good practice to explicitly type all variables, and this can be forced by inserting the statement IMPLICIT NONEat the beginning of each program unit.
Arrays
Arrays are considered to be variables in their own right. Every array is characterized by its type, rank, and shape (which defines the extents of each dimension). Bounds of each dimension are by default 1 and size, but arbitrary bounds can be explicitly specified. DIMENSION
keyword is optional and considered an attribute; if omitted, the array shape must be specified after array-variable name. For example,REAL:: a(10)INTEGER, DIMENSION(0:100, -50:50) :: mapdeclares two arrays, rank-1 and rank-2, whose elements are in column-major order. Elements are, for example,a(1) a(i*j)and are scalars. The subscripts may be any scalar integer expression.
Sections are parts of the array variables, and are arrays themselves:a(i:j) ! rank onemap(i:j, k:l:m) ! rank twoa(map(i, k:l)) ! vector subscripta(3:2) ! zero lengthWhole arrays and array sections are array-valued objects. Array-valued constants (constructors) are available, enclosed in (/ ... /)
: (/ 1, 2, 3, 4 /)(/ ((/ 1, 2, 3 /), i = 1, 4) /)(/ (i, i = 1, 9, 2) /)(/ (0, i = 1, 100) /)(/ (0.1*i, i = 1, 10) /)making use of an implied-DO loop notation. Fortran 2003 allows the use of brackets:
[1, 2, 3, 4]
and [([1,2,3], i=1,4)]
instead of the first two examples above, and many compilers support this now.A derived data type may, of course, contain array components: TYPE triplet REAL, DIMENSION(3) :: vertexEND TYPE tripletTYPE(triplet), DIMENSION(4) :: tso that
- t(2) is a scalar (a structure)
- t(2)%vertex is an array component of a scalar
Data initialization
Variables can be given initial values as specified in a specification statement:REAL, DIMENSION(3) :: a = (/ 0.1, 0.2, 0.3 /)and a default initial value can be given to the component of a derived data type:TYPE triplet REAL, DIMENSION(3) :: vertex = 0.0END TYPE tripletWhen local variables are initialized within a procedure they implicitly acquire the SAVE attribute:REAL, DIMENSION(3) :: point = (/ 0.0, 1.0, -1.0 /)This declaration is equivalent toREAL, DIMENSION(3), SAVE :: point = (/ 0.0, 1.0, -1.0 /)for local variables within a subroutine or function. The SAVE attribute causes local variables to retain their value after a procedure call and then to initialize the variable to the saved value upon returning to the procedure.
PARAMETER attribute
A named constant can be specified directly by adding the PARAMETER
attribute and the constant values to a type statement:REAL, DIMENSION(3), PARAMETER :: field = (/ 0., 1., 2. /)TYPE(triplet), PARAMETER :: t = triplet((/ 0., 0., 0. /))
DATA statement
The DATA
statement can be used for scalars and also for arrays and variables of derived type. It is also the only way to initialise just parts of such objects, as well as to initialise to binary, octal or hexadecimal values: TYPE(triplet) :: t1, t2DATA t1/triplet((/ 0., 1., 2. /))/, t2%vertex(1)/123./DATA array(1:64) / 64*0/DATA i, j, k/ B'01010101', O'77', Z'ff'/
Initialization expressions
The values used in DATA
and PARAMETER
statements, or with these attributes, are constant expressions that may include references to: array and structure constructors, elemental intrinsic functions with integer or character arguments and results, and the six transformational functions REPEAT, SELECTED_INT_KIND, TRIM, SELECTED_REAL_KIND, RESHAPE
and TRANSFER
(see Intrinsic procedures): INTEGER, PARAMETER :: long = SELECTED_REAL_KIND(12), & array(3) = (/ 1, 2, 3 /)
Specification expressions
It is possible to specify details of variables using any non-constant, scalar, integer expression that may also include inquiry function references:SUBROUTINE s(b, m, c) USE mod ! contains a REAL, DIMENSION(:, :) :: b REAL, DIMENSION(UBOUND(b, 1) + 5) :: x INTEGER :: m CHARACTER(LEN=*) :: c CHARACTER(LEN= m + LEN(c)) :: cc REAL (SELECTED_REAL_KIND(2*PRECISION(a))) :: z
Expressions and assignments
Scalar numeric
The usual arithmetic operators are available +, -, *, /, **
(given here in increasing order of precedence).
Parentheses are used to indicate the order of evaluation where necessary:a*b + c ! * firsta*(b + c) ! + firstThe rules for scalar numeric expressions and assignments accommodate the non-default kinds. Thus, the mixed-mode numeric expression and assignment rules incorporate different kind type parameters in an expected way: real2 = integer0 + real1
converts integer0
to a real value of the same kind as real1
; the result is of same kind, and is converted to the kind of real2
for assignment.
These functions are available for controlled rounding of real numbers to integers:
round to nearest integer, return integer result
round to nearest integer, return real result
truncate (round towards zero), return integer result
truncate (round towards zero), return real result
smallest integral value not less than argument (round up) (Fortran-90)
largest integral value not greater than argument (round down) (Fortran-90)
Scalar relational operations
For scalar relational operations of numeric types, there is a set of built-in operators: < <=
/= > >= .LT. .LE. .EQ. .NE. .GT. .GE.(the forms above are new to Fortran-90, and older equivalent forms are given below them). Example expressions:a < b .AND. i /= j ! for numeric variablesflag = a
b ! for logical variable flags
Scalar characters
In the case of scalar characters and given CHARACTER(8) result
it is legal to write result(3:5) = result(1:3) ! overlap allowedresult(3:3) = result(3:2) ! no assignment of null string
Concatenation is performed by the operator '//'.result = 'abcde'//'123'filename = result//'.dat'
Derived-data types
No built-in operations (except assignment, defined on component-by component basis) exist between derived data types mutually or with intrinsic types. The meaning of existing or user-specified operators can be (re)defined though:TYPE string80 INTEGER length CHARACTER(80) valueEND TYPE string80CHARACTER:: char1, char2, char3TYPE(string80):: str1, str2, str3we can write str3 = str1//str2 ! must define operationstr3 = str1.concat.str2 ! must define operationchar3 = char2//char3 ! intrinsic operator onlystr3 = char1 ! must define assignmentNotice the "overloaded" use of the intrinsic symbol //
and the named operator, .concat.
. A difference between the two cases is that, for an intrinsic operator token, the usual precedence rules apply, whereas for named operators, precedence is the highest as a unary operator or the lowest as a binary one. In vector3 = matrix * vector1 + vector2vector3 =(matrix .times. vector1) + vector2the two expressions are equivalent only if appropriate parentheses are added as shown. In each case there must be defined, in a module, procedures defining the operator and assignment, and corresponding operator-procedure association, as follows:INTERFACE OPERATOR(//) !Overloads the // operator as invoking string_concat procedure MODULE PROCEDURE string_concatEND INTERFACEThe string concatenation function is a more elaborated version of that shown already in Basics. Note that in order to handle the error condition that arises when the two strings together exceed the preset 80-character limit, it would be safer to use a subroutine to perform the concatenation (in this case operator-overloading would not be applicable.)MODULE string_type IMPLICIT NONE TYPE string80 INTEGER length CHARACTER(LEN=80) :: string_data END TYPE string80 INTERFACE ASSIGNMENT(=) MODULE PROCEDURE c_to_s_assign, s_to_c_assign END INTERFACE INTERFACE OPERATOR(//) MODULE PROCEDURE string_concat END INTERFACECONTAINS SUBROUTINE c_to_s_assign(s, c) TYPE (string80), INTENT(OUT) :: s CHARACTER(LEN=*), INTENT(IN) :: c s%string_data = c s%length = LEN(c) END SUBROUTINE c_to_s_assign SUBROUTINE s_to_c_assign(c, s) TYPE (string80), INTENT(IN) :: s CHARACTER(LEN=*), INTENT(OUT) :: c c = s%string_data(1:s%length) END SUBROUTINE s_to_c_assign TYPE(string80) FUNCTION string_concat(s1, s2) TYPE(string80), INTENT(IN) :: s1, s2 TYPE(string80) :: s INTEGER :: n1, n2 CHARACTER(160) :: ctot n1 = LEN_TRIM(s1%string_data) n2 = LEN_TRIM(s2%string_data) IF (n1+n2 <= 80) then s%string_data = s1%string_data(1:n1)//s2%string_data(1:n2) ELSE ! This is an error condition which should be handled - for now just truncate ctot = s1%string_data(1:n1)//s2%string_data(1:n2) s%string_data = ctot(1:80) END IF s%length = LEN_TRIM(s%string_data) string_concat = s END FUNCTION string_concatEND MODULE string_type
PROGRAM main USE string_type TYPE(string80) :: s1, s2, s3 CALL c_to_s_assign(s1,'My name is') CALL c_to_s_assign(s2,' Linus Torvalds') s3 = s1//s2 WRITE(*,*) 'Result: ',s3%string_data WRITE(*,*) 'Length: ',s3%lengthEND PROGRAM
Defined operators such as these are required for the expressions that are allowed also in structure constructors (see Derived-data types): str1 = string(2, char1//char2) ! structure constructor
Arrays
In the case of arrays then, as long as they are of the same shape (conformable), operations and assignments are extended in an obvious way, on an element-by-element basis. For example, given declarations ofREAL, DIMENSION(10, 20) :: a, b, cREAL, DIMENSION(5) :: v, wLOGICAL flag(10, 20)it can be written:a = b ! whole array assignmentc = a/b ! whole array division and assignmentc = 0. ! whole array assignment of scalar valuew = v + 1. ! whole array addition to scalar valuew = 5/v + a(1:5, 5) ! array division, and addition to sectionflag = a
b ! whole array relational test and assignmentc(1:8, 5:10) = a(2:9, 5:10) + b(1:8, 15:20) ! array section addition and assignmentv(2:5) = v(1:4) ! overlapping section assignmentThe order of expression evaluation is not specified in order to allow for optimization on parallel and vector machines. Of course, any operators for arrays of derived type must be defined.
Some real intrinsic functions that are useful for numeric computations are
- CEILING
- FLOOR
- MODULO (also integer)
- EXPONENT
- FRACTION
- NEAREST
- RRSPACING
- SPACING
- SCALE
- SET_EXPONENT
These are array valued for array arguments (elemental), like all FORTRAN 77 functions (except LEN):
- INT
- REAL
- CMPLX
- AINT
- ANINT
- NINT
- ABS
- MOD
- SIGN
- DIM
- MAX
- MIN
Powers, logarithms, and trigonometric functions
- SQRT
- EXP
- LOG
- LOG10
- SIN
- COS
- TAN
- ASIN
- ACOS
- ATAN
- ATAN2
- SINH
- COSH
- TANH
Complex numbers:
The following are for characters:
- LGE
- LGT
- LLE
- LLT
- ICHAR
- CHAR
- INDEX
Control statements
Branching and conditions
The simple GO TO
label exists, but is usually avoided in most cases, a more specific branching construct will accomplish the same logic with more clarity.
The simple conditional test is the IF
statement: IF (a > b) x = y
A full-blown IF
construct is illustrated byIF (i < 0) THEN IF (j < 0) THEN x = 0. ELSE z = 0. END IFELSE IF (k < 0) THEN z = 1.ELSE x = 1.END IF
CASE construct
The CASE
construct is a replacement for the computed GOTO
, but is better structured and does not require the use of statement labels: SELECT CASE (number) ! number of type integerCASE (:-1) ! all values below 0 n_sign = -1CASE (0) ! only 0 n_sign = 0CASE (1:) ! all values above 0 n_sign = 1END SELECTEach CASE
selector list may contain a list and/or range of integers, character or logical constants, whose values may not overlap within or between selectors: CASE (1, 2, 7, 10:17, 23)A default is available: CASE DEFAULTThere is only one evaluation, and only one match.
DO construct
A simplified but sufficient form of the DO
construct is illustrated by outer: DOinner: DO i = j, k, l ! from j to k in steps of l (l is optional) : IF (...) CYCLE : IF (...) EXIT outer : END DO inner END DO outerwhere we note that loops may be optionally named so that any EXIT or CYCLE statement may specify which loop is meant.
Many, but not all, simple loops can be replaced by array expressions and assignments, or by new intrinsic functions. For instance tot = 0.DO i = m, n tot = tot + a(i)END DObecomes simply tot = SUM(a(m:n))
Program units and procedures
Definitions
In order to discuss this topic we need some definitions. In logical terms, an executable program consists of one main program and zero or more subprograms (or procedures) - these do something. Subprograms are either functions or subroutines, which are either external, internal or module subroutines. (External subroutines are what we knew from FORTRAN 77.)
From an organizational point of view, however, a complete program consists of program units. These are either main programs, external subprograms or modules and can be separately compiled.
An example of a main (and complete) program isPROGRAM test PRINT *, 'Hello world!'END PROGRAM testAn example of a main program and an external subprogram, forming an executable program, isPROGRAM test CALL print_messageEND PROGRAM testSUBROUTINE print_message PRINT *, 'Hello world!'END SUBROUTINE print_messageThe form of a function isFUNCTION name(arg1, arg2) ! zero or more arguments : name = ... :END FUNCTION nameThe form of reference of a function is x = name(a, b)
Internal procedures
An internal subprogram is one contained in another (at a maximum of one level of nesting) and provides a replacement for the statement function: SUBROUTINE outer REAL x, y :CONTAINS SUBROUTINE inner REAL y y = x + 1. : END SUBROUTINE inner ! SUBROUTINE mandatoryEND SUBROUTINE outerWe say that outer
is the host of inner
, and that inner
obtains access to entities in outer
by host association (e.g. to x
), whereas y
is a local variable to inner
.
The scope of a named entity is a scoping unit, here outer
less inner
, and inner
.
The names of program units and external procedures are global, and the names of implied-DO variables have a scope of the statement that contains them.
Modules
Modules are used to package
- global data (replaces COMMON and BLOCK DATA from Fortran 77);
- type definitions (themselves a scoping unit);
- subprograms (which among other things replaces the use of ENTRY from Fortran 77);
- interface blocks (another scoping unit, see Interface blocks);
- namelist groups (see any textbook).
An example of a module containing a type definition, interface block and function subprogram isMODULE interval_arithmetic TYPE interval REAL lower, upper END TYPE interval INTERFACE OPERATOR(+) MODULE PROCEDURE add_intervals END INTERFACE :CONTAINS FUNCTION add_intervals(a,b) TYPE(interval), INTENT(IN) :: a, b TYPE(interval) add_intervals add_intervals%lower = a%lower + b%lower add_intervals%upper = a%upper + b%upper END FUNCTION add_intervals ! FUNCTION mandatory :END MODULE interval_arithmeticand the simple statement USE interval_arithmeticprovides use association to all the module's entities. Module subprograms may, in turn, contain internal subprograms.
Controlling accessibility
The PUBLIC
and PRIVATE
attributes are used in specifications in modules to limit the scope of entities. The attribute form is REAL, PUBLIC :: x, y, z ! defaultINTEGER, PRIVATE :: u, v, wand the statement form is PUBLIC :: x, y, z, OPERATOR(.add.)PRIVATE :: u, v, w, ASSIGNMENT(=), OPERATOR(*)The statement form has to be used to limit access to operators, and can also be used to change the overall default: PRIVATE ! sets default for modulePUBLIC :: only_thisFor derived types there are three possibilities: the type and its components are all PUBLIC, the type is PUBLIC and its components PRIVATE (the type only is visible and one can change its details easily), or all of it is PRIVATE (for internal use in the module only): MODULE mine PRIVATE TYPE, PUBLIC :: list REAL x, y TYPE(list), POINTER :: next END TYPE list TYPE(list) :: tree :END MODULE mine
The USE
statement's purpose is to gain access to entities in a module. It has options to resolve name clashes if an imported name is the same as a local one: USE mine, local_list => listor to restrict the used entities to a specified set: USE mine, ONLY : listThese may be combined: USE mine, ONLY : local_list => list
Arguments
We may specify the intent of dummy arguments: SUBROUTINE shuffle (ncards, cards) INTEGER, INTENT(IN) :: ncards INTEGER, INTENT(OUT), DIMENSION(ncards) :: cardsAlso, INOUT is possible: here the actual argument must be a variable (unlike the default case where it may be a constant).
Arguments may be optional: SUBROUTINE mincon(n, f, x, upper, lower, equalities, inequalities, convex, xstart) REAL, OPTIONAL, DIMENSION :: upper, lower : IF (PRESENT(lower)) THEN ! test for presence of actual argument :allows us to call mincon
by CALL mincon (n, f, x, upper)Arguments may be keyword rather than positional (which come first): CALL mincon(n, f, x, equalities=0, xstart=x0)Optional and keyword arguments are handled by explicit interfaces, that is with internal or module procedures or with interface blocks.
Interface blocks
Any reference to an internal or module subprogram is through an interface that is 'explicit' (that is, the compiler can see all the details). A reference to an external (or dummy) procedure is usually 'implicit' (the compiler assumes the details). However, we can provide an explicit interface in this case too. It is a copy of the header, specifications and END statement of the procedure concerned, either placed in a module or inserted directly: REAL FUNCTION minimum(a, b, func) ! returns the minimum value of the function func(x) ! in the interval (a,b) REAL, INTENT(in) :: a, b INTERFACE REAL FUNCTION func(x) REAL, INTENT(IN) :: x END FUNCTION func END INTERFACE REAL f,x : f = func(x) ! invocation of the user function. :END FUNCTION minimumAn explicit interface is obligatory for
- optional and keyword arguments;
- POINTER and TARGET arguments (see Pointers);
- POINTER function result;
- new-style array arguments and array functions (Array handling).
It allows full checks at compile time between actual and dummy arguments.
In general, the best way to ensure that a procedure interface is explicit is either to place the procedure concerned in a module or to use it as an internal procedure.
Overloading and generic interfaces
Interface blocks provide the mechanism by which we are able to define generic names for specific procedures: INTERFACE gamma ! generic name FUNCTION sgamma(X) ! specific name REAL (SELECTED_REAL_KIND(6)) sgamma, x END FUNCTION dgamma(X) ! specific name REAL (SELECTED_REAL_KIND(12)) dgamma, x ENDEND INTERFACEwhere a given set of specific names corresponding to a generic name must all be of functions or all of subroutines. If this interface is within a module, then it is simply INTERFACE gamma MODULE PROCEDURE sgamma, dgammaEND INTERFACEWe can use existing names, e.g. SIN, and the compiler sorts out the correct association.
We have already seen the use of interface blocks for defined operators and assignment (see Modules).
Recursion
Indirect recursion is useful for multi-dimensional integration. For volume = integrate(fy, ybounds)We might have RECURSIVE FUNCTION integrate(f, bounds) ! Integrate f(x) from bounds(1) to bounds(2) REAL integrate INTERFACE FUNCTION f(x) REAL f, x END FUNCTION f END INTERFACE REAL, DIMENSION(2), INTENT(IN) :: bounds :END FUNCTION integrateand to integrate f(x, y) over a rectangle: FUNCTION fy(y) USE func ! module func contains function f REAL fy, y yval = y fy = integrate(f, xbounds)ENDDirect recursion is when a procedure calls itself, as in RECURSIVE FUNCTION factorial(n) RESULT(res) INTEGER res, n IF(n.EQ.0) THEN res = 1 ELSE res = n*factorial(n-1) END IFENDHere, we note the RESULT
clause and termination test.
Pure procedures
This is a feature for parallel computing.
In the FORALL statement and construct, any side effects in a function can impede optimization on a parallel processor the order of execution of the assignments could affect the results. To control this situation, we add the PURE
keyword to the SUBROUTINE
or FUNCTION
statementan assertion that the procedure (expressed simply):
- alters no global variable,
- performs no I/O,
- has no saved variables (variables with the
SAVE
attribute that retains values between invocations), and
- for functions, does not alter any of its arguments.
A compiler can check that this is the case, as inPURE FUNCTION calculate (x)All the intrinsic functions are pure.
Array handling
Array handling is included in Fortran for two main reasons:
- the notational convenience it provides, bringing the code closer to the underlying mathematical form;
- for the additional optimization opportunities it gives compilers (although there are plenty of opportunities for degrading optimization too!).
At the same time, major extensions of the functionality in this area have been added. We have already met whole arrays above
- Arrays 1
and here
- Arrays 2
- now we develop the theme.
Zero-sized arrays
A zero-sized array is handled by Fortran as a legitimate object, without special coding by the programmer. Thus, in DO i = 1,n x(i) = b(i) / a(i, i) b(i+1:n) = b(i+1:n) - a(i+1:n, i) * x(i)END DOno special code is required for the final iteration where i = n
. We note that a zero-sized array is regarded as being defined; however, an array of shape (0,2) is not conformable with one of shape (0,3), whereas x(1:0) = 3 is a valid 'do nothing' statement.
Assumed-shape arrays
These are an extension and replacement for assumed-size arrays. Given an actual argument like: REAL, DIMENSION(0:10, 0:20) :: a :CALL sub(a)the corresponding dummy argument specification defines only the type and rank of the array, not its shape. This information has to be made available by an explicit interface, often using an interface block (see Interface blocks). Thus we write just SUBROUTINE sub(da) REAL, DIMENSION(:, :) :: daand this is as if da
were dimensioned (11,21). However, we can specify any lower bound and the array maps accordingly.REAL, DIMENSION(0:, 0:) :: daThe shape, not bounds, is passed, where the default lower bound is 1 and the default upper bound is the corresponding extent.
Automatic arrays
A partial replacement for the uses to which EQUIVALENCE
was put is provided by this facility, useful for local, temporary arrays, as in SUBROUTINE swap(a, b) REAL, DIMENSION(:) :: a, b REAL, DIMENSION(SIZE(a)) :: work work = a a = b b = workEND SUBROUTINE swapThe actual storage is typically maintained on a stack.
ALLOCATABLE and ALLOCATE
Fortran provides dynamic allocation of storage; it relies on a heap storage mechanism (and replaces another use of EQUIVALENCE
). An example for establishing a work array for a whole program is MODULE work_array INTEGER n REAL, DIMENSION(:,:,:), ALLOCATABLE :: workEND MODULEPROGRAM main USE work_array READ (input, *) n ALLOCATE(work(n, 2*n, 3*n), STAT=status) : DEALLOCATE (work)The work array can be propagated through the whole program via a USE
statement in each program unit. We may specify an explicit lower bound and allocate several entities in one statement. To free dead storage we write, for instance, DEALLOCATE(a, b)Deallocation of arrays is automatic when they go out of scope.
Elemental operations, assignments and procedures
We have already met whole array assignments and operations: REAL, DIMENSION(10) :: a, ba = 0. ! scalar broadcast; elemental assignmentb = SQRT(a) ! intrinsic function result as array objectIn the second assignment, an intrinsic function returns an array-valued result for an array-valued argument. We can write array-valued functions ourselves (they require an explicit interface): PROGRAM test REAL, DIMENSION(3) :: a = (/ 1., 2., 3./), & b = (/ 2., 2., 2. /), r r = f(a, b) PRINT *, rCONTAINS FUNCTION f(c, d) REAL, DIMENSION(:) :: c, d REAL, DIMENSION(SIZE(c)) :: f f = c*d ! (or some more useful function of c and d) END FUNCTION fEND PROGRAM testElemental procedures are specified with scalar dummy arguments that may be called witharray actual arguments. In the case of a function, the shape of the result is the shape of the arrayarguments.
Most intrinsic functions are elemental andFortran 95 extends this feature to non-intrinsic procedures, thus providing the effectof writing, in Fortran 90, 22 different versions, for ranks 0-0, 0-1, 1-0, 1-1, 0-2,2-0, 2-2, ... 7-7, and is further an aid to optimization on parallel processors.An elemental procedure must be pure.ELEMENTAL SUBROUTINE swap(a, b) REAL, INTENT(INOUT) :: a, b REAL :: work work = a a = b b = workEND SUBROUTINE swapThe dummy arguments cannot be used in specification expressions (see above) except as arguments to certain intrinsic functions (BIT_SIZE
, KIND
, LEN
, and the numeric inquiry ones, (see below).
WHERE
Often, we need to mask an assignment. This we can do using the WHERE
, either as a statement: WHERE (a /= 0.0) a = 1.0/a ! avoid division by 0(note: the test is element-by-element, not on whole array), or as a construct: WHERE (a /= 0.0) a = 1.0/a b = a ! all arrays same shapeEND WHEREor WHERE (a /= 0.0) a = 1.0/aELSEWHERE a = HUGE(a)END WHEREFurther:
- it is permitted to mask not only the
WHERE
statement of the WHERE
construct, but also any ELSEWHERE
statement that it contains;
- a
WHERE
construct may contain any number of masked ELSEWHERE
statements but at most one ELSEWHERE
statement without a mask, and that must be the final one;
WHERE
constructs may be nested within one another, just FORALL
constructs;
- a
WHERE
assignment statement is permitted to be a defined assignment, provided that it is elemental;
- a
WHERE
construct may be named in the same way as other constructs.
The FORALL statement and construct
When a DO
construct is executed, each successive iteration is performed in order and one after the otheran impediment to optimization on a parallel processor.FORALL(i = 1:n) a(i, i) = x(i)where the individual assignments may be carried out in any order, and even simultaneously. The FORALL
may be considered to be an array assignment expressed with the help of indices.FORALL(i=1:n, j=1:n, y(i,j)/=0.) x(j,i) = 1.0/y(i,j)with masking condition.
The FORALL
construct allows several assignment statements to be executed in order. a(2:n-1,2:n-1) = a(2:n-1,1:n-2) + a(2:n-1,3:n) + a(1:n-2,2:n-1) + a(3:n,2:n-1)b(2:n-1,2:n-1) = a(2:n-1,2:n-1)is equivalent to the array assignmentsFORALL(i = 2:n-1, j = 2:n-1) a(i,j) = a(i,j-1) + a(i,j+1) + a(i-1,j) + a(i+1,j) b(i,j) = a(i,j)END FORALLThe FORALL
version is more readable.
Assignment in a FORALL
is like an array assignment: as if all the expressions were evaluated in any order, held in temporary storage, then all the assignments performed in any order. The first statement must fully complete before the second can begin. A FORALL
may be nested, and may include a WHERE
.Procedures referenced within a FORALL
must be pure.
Array elements
For a simple case, given REAL, DIMENSION(100, 100) :: awe can reference a single element as, for instance, a(1, 1)
. For a derived-data type like TYPE fun_del REAL u REAL, DIMENSION(3) :: duEND TYPE fun_delwe can declare an array of that type: TYPE(fun_del), DIMENSION(10, 20) :: tarand a reference like tar(n, 2) is an element (a scalar!) of type fun_del, but tar(n, 2)%du is an array of type real, and tar(n, 2)%du(2) is an element of it. The basic rule to remember is that an array element always has a subscript or subscripts qualifying at least the last name.
Array subobjects (sections)
The general form of subscript for an array section is [''lower''] : [''upper''] [:''stride'']
(where [] indicates an optional item) as in REAL a(10, 10)a(i, 1:n) ! part of one rowa(1:m, j) ! part of one columna(i, :) ! whole rowa(i, 1:n:3) ! every third element of rowa(i, 10:1:-1) ! row in reverse ordera((/ 1, 7, 3, 2 /), 1) ! vector subscripta(1, 2:11:2) ! 11 is legal as not referenceda(:, 1:7) ! rank two sectionNote that a vector subscript with duplicate values cannot appear on the left-hand side of an assignment as it would be ambiguous. Thus, b((/ 1, 7, 3, 7 /)) = (/ 1, 2, 3, 4 /)is illegal. Also, a section with a vector subscript must not be supplied as an actual argument to an OUT
or INOUT
dummy argument. Arrays of arrays are not allowed:tar%du ! illegalWe note that a given value in an array can be referenced both as an element and as a section: a(1, 1) ! scalar (rank zero)a(1:1, 1) ! array section (rank one)depending on the circumstances or requirements. By qualifying objects of derived type, we obtain elements or sections depending on the rule stated earlier: tar%u ! array section (structure component)tar(1, 1)%u ! component of an array element
Arrays intrinsic functions
Vector and matrix multiply
DOT_PRODUCT | Dot product of 2 rank-one arrays |
MATMUL | Matrix multiplication | |
Array reduction
ALL | True if all values are true |
ANY | True if any value is true. Example: IF (ANY(a > b)) THEN |
COUNT | Number of true elements in array |
MAXVAL | Maximum value in an array |
MINVAL | Minimum value in an array |
PRODUCT | Product of array elements |
SUM | Sum of array elements | |
Array inquiry
ALLOCATED | Array allocation status |
LBOUND | Lower dimension bounds of an array |
SHAPE | Shape of an array (or scalar) |
SIZE | Total number of elements in an array |
UBOUND | Upper dimension bounds of an array | |
Array construction
MERGE | Merge under mask |
PACK | Pack an array into an array of rank one under a mask |
SPREAD | Replicate array by adding a dimension |
UNPACK | Unpack an array of rank one into an array under mask | |
Array reshape
Array manipulation
CSHIFT | Circular shift |
EOSHIFT | End-off shift |
TRANSPOSE | Transpose of an array of rank two | |
Array location
MAXLOC | Location of first maximum value in an array |
MINLOC | Location of first minimum value in an array | |
Pointers
Basics
Pointers are variables with the POINTER
attribute; they are not a distinct data type (and so no 'pointer arithmetic' is possible). REAL, POINTER :: varThey are conceptually a descriptor listing the attributes of the objects (targets) that the pointer may point to, and the address, if any, of a target. They have no associated storage until it is allocated or otherwise associated (by pointer assignment, see below): ALLOCATE (var)and they are dereferenced automatically, so no special symbol required. In var = var + 2.3the value of the target of var is used and modified. Pointers cannot be transferred via I/O. The statementWRITE *, varwrites the value of the target of var and not the pointer descriptor itself.
A pointer can point to another pointer, and hence to its target, or to a static object that has the TARGET
attribute: REAL, POINTER :: objectREAL, TARGET :: target_objvar => object ! pointer assignmentvar => target_objbut they are strongly typed: INTEGER, POINTER :: int_varvar => int_var ! illegal - types must matchand, similarly, for arrays the ranks as well as the type must agree.
A pointer can be a component of a derived type: TYPE entry ! type for sparse matrix REAL :: value INTEGER :: index TYPE(entry), POINTER :: next ! note recursionEND TYPE entryand we can define the beginning of a linked chain of such entries: TYPE(entry), POINTER :: chainAfter suitable allocations and definitions, the first two entries could be addressed as chain%value chain%next%valuechain%index chain%next%indexchain%next chain%next%nextbut we would normally define additional pointers to point at, for instance, the first and current entries in the list.
Association
A pointer's association status is one of Some care has to be taken not to leave a pointer 'dangling' by use of DEALLOCATE
on its target without nullifying any other pointer referring to it.
The intrinsic function ASSOCIATED
can test the association status of a defined pointer: IF (ASSOCIATED(ptr)) THENor between a defined pointer and a defined target (which may, itself, be a pointer): IF (ASSOCIATED(ptr, target)) THENAn alternative way to initialize a pointer, also in a specification statement, is to use the NULL
function:REAL, POINTER, DIMENSION(:) :: vector => NULL ! compile timevector => NULL ! run time
Pointers in expressions and assignments
For intrinsic types we can 'sweep' pointers over different sets of target data using the same code without any data movement. Given the matrix manipulation y = B C z, we can write the following code (although, in this case, the same result could be achieved more simply by other means): REAL, TARGET :: b(10,10), c(10,10), r(10), s(10), z(10)REAL, POINTER :: a(:,:), x(:), y(:)INTEGER mult
DO mult = 1, 2 IF (mult
1) THEN y => r ! no data movement a => c x => z ELSE y => s ! no data movement a => b x => r END IF y = MATMUL(a, x) ! common calculationEND DOFor objects of derived type we have to distinguish between pointer and normal assignment. In TYPE(entry), POINTER :: first, current
first => currentthe assignment causes first to point at current, whereas first = currentcauses current to overwrite first and is equivalent to first%value = current%valuefirst%index = current%indexfirst%next => current%next
Pointer arguments
If an actual argument is a pointer then, if the dummy argument is also a pointer,
- it must have same rank,
- it receives its association status from the actual argument,
- it returns its final association status to the actual argument (note: the target may be undefined!),
- it may not have the
INTENT
attribute (it would be ambiguous),
- it requires an interface block.
If the dummy argument is not a pointer, it becomes associated with the target of the actual argument: REAL, POINTER :: a (:,:) : ALLOCATE (a(80, 80)) : CALL sub(a) :SUBROUTINE sub(c) REAL c(:, :)
Pointer functions
Function results may also have the POINTER
attribute; this is useful if the result size depends on calculations performed in the function, as in USE data_handlerREAL x(100)REAL, POINTER :: y(:)
y => compact(x)where the module data_handler contains FUNCTION compact(x) REAL, POINTER :: compact(:) REAL x(:) ! A procedure to remove duplicates from the array x INTEGER n : ! Find the number of distinct values, n ALLOCATE(compact(n)) : ! Copy the distinct values into compactEND FUNCTION compactThe result can be used in an expression (but must be associated with a defined target).
Arrays of pointers
These do not exist as such: given TYPE(entry) :: rows(n)then rows%next ! illegalwould be such an object, but with an irregular storage pattern. For this reason they are not allowed. However, we can achieve the same effect by defining a derived data type with a pointer as its sole component: TYPE row REAL, POINTER :: r(:)END TYPEand then defining arrays of this data typeTYPE(row) :: s(n), t(n)where the storage for the rows can be allocated by, for instance, DO i = 1, n ALLOCATE (t(i)%r(1:i)) ! Allocate row i of length iEND DOThe array assignment s = tis then equivalent to the pointer assignments s(i)%r => t(i)%r for all components.
Pointers as dynamic aliases
Given an array REAL, TARGET :: table(100,100)
that is frequently referenced with the fixed subscripts table(m:n, p:q)these references may be replaced by REAL, DIMENSION(:, :), POINTER :: window :window => table(m:n, p:q)The subscripts of window are 1:n-m+1, 1:q-p+1. Similarly, for tar%u(as defined in already), we can use, say, taru => tar%u to point at all the u components of tar, and subscript it as taru(1, 2)
The subscripts are as those of tar itself. (This replaces yet more of EQUIVALENCE
.)
In the pointer associationpointer => array_expressionthe lower bounds for pointer
are determined as if lbound
was applied to array_expression
. Thus, when a pointer is assigned to a whole array variable, it inherits the lower bounds of the variable, otherwise, the lower bounds default to 1.
Fortran 2003 allows specifying arbitrary lower bounds on pointer association, likewindow(r:,s:) => table(m:n,p:q)so that the bounds of window
become r:r+n-m,s:s+q-p
.Fortran 95 does not have this feature; however, it can be simulated using thefollowing trick (based on the pointer association rules for assumed shape array dummy arguments):FUNCTION remap_bounds2(lb1,lb2,array) RESULT(ptr) INTEGER, INTENT(IN) :: lb1,lb2 REAL, DIMENSION(lb1:,lb2:), INTENT(IN), TARGET :: array REAL, DIMENSION(:,:), POINTER :: ptr ptr => arrayEND FUNCTION :window => remap_bounds2(r,s,table(m:n,p:q))
The source code of an extended example of the use of pointers to support a data structure is in [ftp://ftp.numerical.rl.ac.uk/pub/MRandC/pointer.f90 pointer.f90].
Intrinsic procedures
Most of the intrinsic functions have already been mentioned. Here, we deal only with their general classification and with those that have so far been omitted. All intrinsic procedures can be used with keyword arguments: CALL DATE_AND_TIME (TIME=t)and many have optional arguments.
The intrinsic procedures are grouped into four categories:
- elemental - work on scalars or arrays, e.g.
ABS(a)
;
- inquiry - independent of value of argument (which may be undefined), e.g.
PRECISION(a)
;
- transformational - array argument with array result of different shape, e.g.
RESHAPE(a, b)
;
- subroutines, e.g.
SYSTEM_CLOCK
.
The procedures not already introduced are
Bit inquiry
BIT_SIZE | Number of bits in the model | |
Bit manipulation
BTEST | Bit testing |
IAND | Logical AND |
IBCLR | Clear bit |
IBITS | Bit extraction |
IBSET | Set bit |
IEOR | Exclusive OR |
IOR | Inclusive OR |
ISHFT | Logical shift |
ISHFTC | Circular shift |
NOT | Logical complement | |
Transfer function, as in
INTEGER :: i = TRANSFER('abcd', 0)(replaces part of EQUIVALENCE)
Subroutines
DATE_AND_TIME | Obtain date and/or time |
MVBITS | Copies bits |
RANDOM_NUMBER | Returns pseudorandom numbers |
RANDOM_SEED | Access to seed |
SYSTEM_CLOCK | Access to system clock |
CPU_TIME | Returns processor time in seconds | |
Data transfer
Formatted input/output
These examples illustrate various forms of I/O lists with some simple formats (see below):
INTEGER :: iREAL, DIMENSION(10) :: aCHARACTER(len=20) :: wordPRINT "(i10)", iPRINT "(10f10.3)", aPRINT "(3f10.3)", a(1),a(2),a(3)PRINT "(a10)", word(5:14)PRINT "(3f10.3)", a(1)*a(2)+i, SQRT(a(3:4))Variables, but not expressions, are equally valid in input statements using the READ
statement:READ "(i10)", i
If an array appears as an item, it is treated as if the elements were specified in array element order.
Any pointers in an I/O list must be associated with a target, and transfer takes place between the file and the targets.
An item of derived type is treated as if the components were specified in the same order as in the type declaration, soread "(8f10.5)", p, t ! types point and trianglehas the same effect as the statementREAD "(8f10.5)", p%x, p%y, t%a%x, t%a%y, t%b%x, & t%b%y, t%c%x, t%c%yAn object in an I/O list is not permitted to be of a derived type that has a pointer component at any level of component selection.
Note that a zero-sized array may occur as an item in an I/O list. Such an item corresponds to no actual data transfer.
The format specification may also be given in the form of a character expression:CHARACTER(len=*), parameter :: form = "(f10.3)"
PRINT form, qor as an asterisk this is a type of I/O known as list-directed I/O (see below), in which the format is defined by the computer system:PRINT *, "Square-root of q = ", SQRT(q)Input/output operations are used to transfer data between the storage of an executing program and an external medium, specified by a unit number. However, two I/O statements, PRINT
and a variant of READ
, do not reference any unit number: this is referred to as terminal I/O. Otherwise the form is:READ (UNIT=4, FMT="(f10.3)") qREAD (UNIT=nunit, FMT="(f10.3)") qREAD (UNIT=4*i+j, FMT="(f10.3)") awhere UNIT=
is optional.The value may be any nonnegative integer allowed by the system for this purpose (but 0, 5 and 6 often denote the error, keyboard and terminal, respectively).
An asterisk is a variantagain from the keyboard:READ (UNIT=*, FMT="(f10.3)") q
A read with a unit specifier allows exception handling:READ (UNIT=NUNIT, FMT="(3f10.3)", IOSTAT=ios) a,b,cIF (ios
0) THEN! Successful read - continue execution. :ELSE! Error condition - take appropriate action. CALL error (ios)END IF
There a second type of formatted output statement, the WRITE
statement:WRITE (UNIT=nout, FMT="(10f10.3)", IOSTAT=ios) a
Internal files
These allow format conversion between various representations to be carried out by the program in a storage area defined within the program itself.INTEGER, DIMENSION(30) :: ivalINTEGER :: keyCHARACTER(LEN=30) :: bufferCHARACTER(LEN=6), DIMENSION(3), PARAMETER :: form = (/ "(30i1)", "(15i2)","(10i3)" /)READ (UNIT=*, FMT="(a30,i1)") buffer, keyREAD (UNIT=buffer, FMT=form(key)) ival(1:30/key)If an internal file is a scalar, it has a single record whose length is that of the scalar.
If it is an array, its elements, in array element order, are treated as successive records of the file and each has length that of an array element.
An example using a WRITE
statement isINTEGER :: dayREAL :: cashCHARACTER(LEN=50) :: line
! write into lineWRITE (UNIT=line, FMT="(a, i2, a, f8.2, a)") "Takings for day ", day, " are ", cash, " dollars"that might write
Takings for day 3 are 4329.15 dollars
List-directed I/O
An example of a read without a specified format for input isINTEGER :: iREAL :: aCOMPLEX, DIMENSION(2) :: fieldLOGICAL :: flagCHARACTER(LEN=12) :: titleCHARACTER(LEN=4) :: word
READ *, i, a, field, flag, title, wordIf this reads the input record10 6.4 (1.0,0.0) (2.0,0.0) t test/(in which blanks are used as separators),then i
, a
, field
, flag
, and title
will acquire the values 10, 6.4, (1.0,0.0) and (2.0,0.0), .true.
and test
respectively,while word
remains unchanged.
Quotation marks or apostrophes are required as delimiters for a string thatcontains a blank.
Non-advancing I/O
This is a form of reading and writing without always advancing the file position to ahead of the next record. Whereas an advancing I/O statement always repositions the file after the last record accessed, a non-advancing I/O statement performs no such repositioning and may therefore leave the file positioned within a record.CHARACTER(LEN=3) :: keyINTEGER :: u, s, ios
READ(UNIT=u, FMT="(a3)", ADVANCE="no", SIZE=s, IOSTAT=ios) keyIF (ios
0) THEN :ELSE! key is not in one record key(s+1:) = "" :END IFA non-advancing read might read the first few characters of a record and a normal read the remainder.
In order to write a prompt to a terminal screen and to read from the next character position on the screen without an intervening line-feed, we can writeWRITE (UNIT=*, FMT="(a)", ADVANCE="no") "enter next prime number:"READ (UNIT=*, FMT="(i10)") prime_numberNon-advancing I/O is for external files, and is not available for list-directed I/O.
Edit descriptors
It is possible to specify that an edit descriptor be repeated a specified number of times, using a repeat count: 10f12.3
The slash edit descriptor (see below) may have a repeat count, and a repeat count can also apply to a group of edit descriptors, enclosed in parentheses, with nesting:PRINT "(2(2i5,2f8.2))", i(1),i(2),a(1),a(2), i(3),i(4),a(3),a(4)Entire format specifications can be repeated:PRINT "(10i8)", (/ (i(j), j=1,200) /)writes 10 integers, each occupying 8 character positions, on each of 20 lines (repeating the format specification advances to the next line).
Control edit descriptors
Control edit descriptors setting conditions:Control edit descriptors for immediate processing:
Unformatted I/O
This type of I/O should be used only in cases where the records are generated by a program on one computer, to be read back on the same computer or another computer using the same internal number representations:OPEN(UNIT=4, FILE='test', FORM='unformatted')READ(UNIT=4) qWRITE(UNIT=nout, IOSTAT=ios) a ! no fmt=
Direct-access files
This form of I/O is also known as random access or indexed I/O. Here, all the records have the same length, and each record is identified by an index number. It is possible to write, read, or re-write any specified record without regard to position.INTEGER, PARAMETER :: nunit=2, length=100REAL, DIMENSION(length) :: aREAL, DIMENSION(length+1:2*length) :: bINTEGER :: i, rec_length
INQUIRE (IOLENGTH=rec_length) aOPEN (UNIT=nunit, ACCESS="direct", RECL=rec_length, STATUS="scratch", ACTION="readwrite")
! Write array b to direct-access file in record 14WRITE (UNIT=nunit, REC=14) b
!! Read the array back into array aREAD (UNIT=nunit, REC=14) a
DO i = 1, length/2 a(i) = iEND DO!! Replace modified recordWRITE (UNIT=nunit, REC=14) aThe file must be an external file and list-directed formatting and non-advancing I/O are unavailable.
Operations on external files
Once again, this is an overview only.
The OPEN
statement
The statement is used to connect an external file to a unit, create a file that is preconnected, or create a file and connect it to a unit.The syntax isOPEN (UNIT=u, STATUS=st, ACTION=act [,olist])where olist
is a list of optional specifiers. The specifiers may appear in any order.OPEN (UNIT=2, IOSTAT=ios, FILE="cities", STATUS="new", ACCESS="direct", & ACTION="readwrite", RECL=100)Other specifiers are FORM
and POSITION
.
The CLOSE
statement
This is used to disconnect a file from a unit.CLOSE (UNIT=u [, IOSTAT=ios] [, STATUS=st])as inCLOSE (UNIT=2, IOSTAT=ios, STATUS="delete")
The inquire
statement
At any time during the execution of a program it is possible to inquire about the status and attributes of a file using this statement.
Using a variant of this statement, it is similarly possible to determine the status of a unit, for instance whether the unit number exists for that system.
Another variant permits an inquiry about the length of an output list when used to write an unformatted record.
For inquire by unitINQUIRE (UNIT=u, ilist)or for inquire by fileINQUIRE (FILE=fln, ilist)or for inquire by I/O listINQUIRE (IOLENGTH=length) olistAs an exampleLOGICAL :: ex, opCHARACTER (LEN=11) :: nam, acc, seq, frmINTEGER :: irec, nrINQUIRE (UNIT=2, EXIST=ex, OPENED=op, NAME=nam, ACCESS=acc, SEQUENTIAL=seq, & FORM=frm, RECL=irec, NEXTREC=nr)yieldsex .true.op .true.nam citiesacc DIRECTseq NOfrm UNFORMATTEDirec 100nr 1(assuming no intervening read or write operations).
Other specifiers are IOSTAT, OPENED, NUMBER, NAMED, FORMATTED, POSITION, ACTION, READ, WRITE, READWRITE
.
Notes and References
- Web site: Fortranplus | Fortran information.