AS/NZS ISO/IEC 1539.1:2024
Programming languages – Fortran, Part 1: Base language
Standard identically adopts ISO 9488:2022, which define basic terms relating to standardization in the field of the measurement of solar radiation and solar energy utilization in space and water heating, cooling, industrial process heating and air conditioning.
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AS/NZS ISO/IEC 1539.1:2024 Fortran Base language
Preface
Foreword
Introduction
1 Scope
2 Normative references
3 Terms and definitions
4 Notation, conformance, and compatibility
4.1 Notation, symbols and abbreviated terms
4.1.1 Syntax rules
4.1.2 Constraints
4.1.3 Assumed syntax rules
4.1.4 Syntax conventions and characteristics
4.1.5 Text conventions
4.2 Conformance
4.3 Compatibility
4.3.1 Previous Fortran standards
4.3.2 New intrinsic procedures
4.3.3 Fortran 2018 compatibility
4.3.4 Fortran 2008 compatibility
4.3.5 Fortran 2003 compatibility
4.3.6 Fortran 95 compatibility
4.3.7 Fortran 90 compatibility
4.3.8 Fortran 77 compatibility
4.4 Deleted and obsolescent features
4.4.1 General
4.4.2 Nature of deleted features
4.4.3 Nature of obsolescent features
5 Fortran concepts
5.1 High level syntax
5.2 Program unit concepts
5.2.1 Program units and scoping units
5.2.2 Program
5.2.3 Procedure
5.2.4 Module
5.2.5 Submodule
5.3 Execution concepts
5.3.1 Statement classification
5.3.2 Statement order
5.3.3 The END statement
5.3.4 Program execution
5.3.5 Execution sequence
5.3.6 Image execution states
5.3.7 Termination of execution
5.4 Data concepts
5.4.1 Type
5.4.2 Data value
5.4.3 Data entity
5.4.4 Definition of objects and pointers
5.4.5 Reference
5.4.6 Array
5.4.7 Coarray
5.4.8 Established coarrays
5.4.9 Pointer
5.4.10 Allocatable variables
5.4.11 Storage
5.5 Fundamental concepts
5.5.1 Names and designators
5.5.2 Statement keyword
5.5.3 Other keywords
5.5.4 Association
5.5.5 Intrinsic
5.5.6 Operator
5.5.7 Companion processors
6 Lexical tokens and source form
6.1 Processor character set
6.1.1 Characters
6.1.2 Letters
6.1.3 Digits
6.1.4 Underscore
6.1.5 Special characters
6.1.6 Other characters
6.2 Low-level syntax
6.2.1 Tokens
6.2.2 Names
6.2.3 Constants
6.2.4 Operators
6.2.5 Statement labels
6.2.6 Delimiters
6.3 Source form
6.3.1 Program units, statements, and lines
6.3.2 Free source form
6.3.3 Fixed source form
6.4 Including source text
7 Types
7.1 Characteristics of types
7.1.1 The concept of type
7.1.2 Type classification
7.1.3 Set of values
7.1.4 Constants
7.1.5 Operations
7.2 Type parameters
7.3 Types, type specifiers, and values
7.3.1 Relationship of types and values to objects
7.3.2 Type specifiers
7.3.3 Type compatibility
7.4 Intrinsic types
7.4.1 Classification and specification
7.4.2 Intrinsic operations on intrinsic types
7.4.3 Numeric intrinsic types
7.4.4 Character type
7.4.5 Logical type
7.5 Derived types
7.5.1 Derived type concepts
7.5.2 Derived-type definition
7.5.3 Derived-type parameters
7.5.4 Components
7.5.5 Type-bound procedures
7.5.6 Final subroutines
7.5.7 Type extension
7.5.8 Derived-type values
7.5.9 Derived-type specifier
7.5.10 Construction of derived-type values
7.5.11 Derived-type operations and assignment
7.6 Other nonintrinsic types
7.6.1 Interoperable enumerations and enum types
7.6.2 Enumeration types
7.7 Binary, octal, and hexadecimal literal constants
7.8 Construction of array values
8 Attribute declarations and specifications
8.1 Attributes of procedures and data objects
8.2 Type declaration statement
8.3 Automatic data objects
8.4 Initialization
8.5 Attributes
8.5.1 Attribute specification
8.5.2 Accessibility attribute
8.5.3 ALLOCATABLE attribute
8.5.4 ASYNCHRONOUS attribute
8.5.5 BIND attribute for data entities
8.5.6 CODIMENSION attribute
8.5.7 CONTIGUOUS attribute
8.5.8 DIMENSION attribute
8.5.9 EXTERNAL attribute
8.5.10 INTENT attribute
8.5.11 INTRINSIC attribute
8.5.12 OPTIONAL attribute
8.5.13 PARAMETER attribute
8.5.14 POINTER attribute
8.5.15 PROTECTED attribute
8.5.16 SAVE attribute
8.5.17 RANK clause
8.5.18 TARGET attribute
8.5.19 VALUE attribute
8.5.20 VOLATILE attribute
8.6 Attribute specification statements
8.6.1 Accessibility statement
8.6.2 ALLOCATABLE statement
8.6.3 ASYNCHRONOUS statement
8.6.4 BIND statement
8.6.5 CODIMENSION statement
8.6.6 CONTIGUOUS statement
8.6.7 DATA statement
8.6.8 DIMENSION statement
8.6.9 INTENT statement
8.6.10 OPTIONAL statement
8.6.11 PARAMETER statement
8.6.12 POINTER statement
8.6.13 PROTECTED statement
8.6.14 SAVE statement
8.6.15 TARGET statement
8.6.16 VALUE statement
8.6.17 VOLATILE statement
8.7 IMPLICIT statement
8.8 IMPORT statement
8.9 NAMELIST statement
8.10 Storage association of data objects
8.10.1 EQUIVALENCE statement
8.10.2 COMMON statement
8.10.3 Restrictions on common and equivalence
9 Use of data objects
9.1 Designator
9.2 Variable
9.3 Constants
9.4 Scalars
9.4.1 Substrings
9.4.2 Structure components
9.4.3 Coindexed named objects
9.4.4 Complex parts
9.4.5 Type parameter inquiry
9.5 Arrays
9.5.1 Order of reference
9.5.2 Whole arrays
9.5.3 Array elements and array sections
9.5.4 Simply contiguous array designators
9.6 Image selectors
9.7 Dynamic association
9.7.1 ALLOCATE statement
9.7.2 NULLIFY statement
9.7.3 DEALLOCATE statement
9.7.4 STAT= specifier
9.7.5 ERRMSG= specifier
10 Expressions and assignment
10.1 Expressions
10.1.1 Expression semantics
10.1.2 Form of an expression
10.1.3 Precedence of operators
10.1.4 Evaluation of operations
10.1.5 Intrinsic operations
10.1.6 Defined operations
10.1.7 Evaluation of operands
10.1.8 Integrity of parentheses
10.1.9 Type, type parameters, and shape of an expression
10.1.10 Conformability rules for elemental operations
10.1.11 Specification expression
10.1.12 Constant expression
10.2 Assignment
10.2.1 Assignment statement
10.2.2 Pointer assignment
10.2.3 Masked array assignment − WHERE
10.2.4 FORALL
11 Execution control
11.1 Executable constructs containing blocks
11.1.1 Blocks
11.1.2 Rules governing blocks
11.1.3 ASSOCIATE construct
11.1.4 BLOCK construct
11.1.5 CHANGE TEAM construct
11.1.6 CRITICAL construct
11.1.7 DO construct
11.1.8 IF construct and statement
11.1.9 SELECT CASE construct
11.1.10 SELECT RANK construct
11.1.11 SELECT TYPE construct
11.1.12 EXIT statement
11.2 Branching
11.2.1 Branch concepts
11.2.2 GO TO statement
11.2.3 Computed GO TO statement
11.3 CONTINUE statement
11.4 STOP and ERROR STOP statements
11.5 FAIL IMAGE statement
11.6 NOTIFY WAIT statement
11.7 Image execution control
11.7.1 Image control statements
11.7.2 Segments
11.7.3 SYNC ALL statement
11.7.4 SYNC IMAGES statement
11.7.5 SYNC MEMORY statement
11.7.6 SYNC TEAM statement
11.7.7 EVENT POST statement
11.7.8 EVENT WAIT statement
11.7.9 FORM TEAM statement
11.7.10 LOCK and UNLOCK statements
11.7.11 STAT= and ERRMSG= specifiers in image control statements
12 Input/output statements
12.1 Input/output concepts
12.2 Records
12.2.1 Definition of a record
12.2.2 Formatted record
12.2.3 Unformatted record
12.2.4 Endfile record
12.3 External files
12.3.1 External file concepts
12.3.2 File existence
12.3.3 File access
12.3.4 File position
12.3.5 File storage units
12.4 Internal files
12.5 File connection
12.5.1 Referring to a file
12.5.2 Connection modes
12.5.3 Unit existence
12.5.4 Connection of a file to a unit
12.5.5 Preconnection
12.5.6 OPEN statement
12.5.7 CLOSE statement
12.6 Data transfer statements
12.6.1 Form of input and output statements
12.6.2 Control information list
12.6.3 Data transfer input/output list
12.6.4 Execution of a data transfer input/output statement
12.6.5 Termination of data transfer statements
12.7 Waiting on pending data transfer
12.7.1 Wait operation
12.7.2 WAIT statement
12.8 File positioning statements
12.8.1 Syntax
12.8.2 BACKSPACE statement
12.8.3 ENDFILE statement
12.8.4 REWIND statement
12.9 FLUSH statement
12.10 File inquiry statement
12.10.1 Forms of the INQUIRE statement
12.10.2 Inquiry specifiers
12.10.3 Inquire by output list
12.11 Error, end-of-record, and end-of-file conditions
12.11.1 Occurrence of input/output conditions
12.11.2 Error conditions and the ERR= specifier
12.11.3 End-of-file condition and the END= specifier
12.11.4 End-of-record condition and the EOR= specifier
12.11.5 IOSTAT= specifier
12.11.6 IOMSG= specifier
12.12 Restrictions on input/output statements
13 Input/output editing
13.1 Format specifications
13.2 Explicit format specification methods
13.2.1 FORMAT statement
13.2.2 Character format specification
13.3 Form of a format item list
13.3.1 Syntax
13.3.2 Edit descriptors
13.3.3 Fields
13.4 Interaction between input/output list and format
13.5 Positioning by format control
13.6 Decimal symbol
13.7 Data edit descriptors
13.7.1 Purpose of data edit descriptors
13.7.2 Numeric editing
13.7.3 Logical editing
13.7.4 Character editing
13.7.5 Generalized editing
13.7.6 User-defined derived-type editing
13.8 Control edit descriptors
13.8.1 Position edit descriptors
13.8.2 Slash editing
13.8.3 Colon editing
13.8.4 SS, SP, and S editing
13.8.5 LZS, LZP and LZ editing
13.8.6 P editing
13.8.7 BN and BZ editing
13.8.8 RU, RD, RZ, RN, RC, and RP editing
13.8.9 DC and DP editing
13.9 Character string edit descriptors
13.10 List-directed formatting
13.10.1 Purpose of list-directed formatting
13.10.2 Values and value separators
13.10.3 List-directed input
13.10.4 List-directed output
13.11 Namelist formatting
13.11.1 Purpose of namelist formatting
13.11.2 Name-value subsequences
13.11.3 Namelist input
13.11.4 Namelist output
14 Program units
14.1 Main program
14.2 Modules
14.2.1 Module syntax and semantics
14.2.2 The USE statement and use association
14.2.3 Submodules
14.3 Block data program units
15 Procedures
15.1 Concepts
15.2 Procedure classifications
15.2.1 Procedure classification by reference
15.2.2 Procedure classification by means of definition
15.3 Characteristics
15.3.1 Characteristics of procedures
15.3.2 Characteristics of dummy arguments
15.3.3 Characteristics of function results
15.4 Procedure interface
15.4.1 Interface and abstract interface
15.4.2 Implicit and explicit interfaces
15.4.3 Specification of the procedure interface
15.5 Procedure reference
15.5.1 Syntax of a procedure reference
15.5.2 Actual arguments, dummy arguments, and argument association
15.5.3 Function reference
15.5.4 Subroutine reference
15.5.5 Resolving named procedure references
15.5.6 Resolving type-bound procedure references
15.6 Procedure definition
15.6.1 Intrinsic procedure definition
15.6.2 Procedures defined by subprograms
15.6.3 Definition and invocation of procedures by means other than Fortran
15.6.4 Statement function
15.7 Pure procedures
15.8 Simple procedures
15.9 Elemental procedures
15.9.1 Elemental procedure declaration and interface
15.9.2 Elemental function actual arguments and results
15.9.3 Elemental subroutine actual arguments
16 Intrinsic procedures and modules
16.1 Classes of intrinsic procedures
16.2 Arguments to intrinsic procedures
16.2.1 General rules
16.2.2 The shape of array arguments
16.2.3 Mask arguments
16.2.4 DIM arguments and reduction functions
16.3 Bit model
16.3.1 General
16.3.2 Bit sequence comparisons
16.3.3 Bit sequences as arguments to INT and REAL
16.4 Numeric models
16.5 Atomic subroutines
16.6 Collective subroutines
16.7 Standard generic intrinsic procedures
16.8 Specific names for standard intrinsic functions
16.9 Specifications of the standard intrinsic procedures
16.9.1 General
16.9.2 ABS (A)
16.9.3 ACHAR (I [, KIND])
16.9.4 ACOS (X)
16.9.5 ACOSD (X)
16.9.6 ACOSH (X)
16.9.7 ACOSPI (X)
16.9.8 ADJUSTL (STRING)
16.9.9 ADJUSTR (STRING)
16.9.10 AIMAG (Z)
16.9.11 AINT (A [, KIND])
16.9.12 ALL (MASK) or ALL (MASK, DIM)
16.9.13 ALLOCATED (ARRAY) or ALLOCATED (SCALAR)
16.9.14 ANINT (A [, KIND])
16.9.15 ANY (MASK) or ANY (MASK, DIM)
16.9.16 ASIN (X)
16.9.17 ASIND (X)
16.9.18 ASINH (X)
16.9.19 ASINPI (X)
16.9.20 ASSOCIATED (POINTER [, TARGET])
16.9.21 ATAN (X) or ATAN (Y, X)
16.9.22 ATAN2 (Y, X)
16.9.23 ATAN2D (Y, X)
16.9.24 ATAN2PI (Y, X)
16.9.25 ATAND (X) or ATAND (Y, X)
16.9.26 ATANH (X)
16.9.27 ATANPI (X) or ATANPI (Y, X)
16.9.28 ATOMIC_ADD (ATOM, VALUE [, STAT])
16.9.29 ATOMIC_AND (ATOM, VALUE [, STAT])
16.9.30 ATOMIC_CAS (ATOM, OLD, COMPARE, NEW [, STAT])
16.9.31 ATOMIC_DEFINE (ATOM, VALUE [, STAT])
16.9.32 ATOMIC_FETCH_ADD (ATOM, VALUE, OLD [, STAT])
16.9.33 ATOMIC_FETCH_AND (ATOM, VALUE, OLD [, STAT])
16.9.34 ATOMIC_FETCH_OR (ATOM, VALUE, OLD [, STAT])
16.9.35 ATOMIC_FETCH_XOR (ATOM, VALUE, OLD [, STAT])
16.9.36 ATOMIC_OR (ATOM, VALUE [, STAT])
16.9.37 ATOMIC_REF (VALUE, ATOM [, STAT])
16.9.38 ATOMIC_XOR (ATOM, VALUE [, STAT])
16.9.39 BESSEL_J0 (X)
16.9.40 BESSEL_J1 (X)
16.9.41 BESSEL_JN (N, X) or BESSEL_JN (N1, N2, X)
16.9.42 BESSEL_Y0 (X)
16.9.43 BESSEL_Y1 (X)
16.9.44 BESSEL_YN (N, X) or BESSEL_YN (N1, N2, X)
16.9.45 BGE (I, J)
16.9.46 BGT (I, J)
16.9.47 BIT_SIZE (I)
16.9.48 BLE (I, J)
16.9.49 BLT (I, J)
16.9.50 BTEST (I, POS)
16.9.51 CEILING (A [, KIND])
16.9.52 CHAR (I [, KIND])
16.9.53 CMPLX (X [, KIND]) or CMPLX (X [, Y, KIND])
16.9.54 CO_BROADCAST (A, SOURCE_IMAGE [, STAT, ERRMSG])
16.9.55 CO_MAX (A [, RESULT_IMAGE, STAT, ERRMSG])
16.9.56 CO_MIN (A [, RESULT_IMAGE, STAT, ERRMSG])
16.9.57 CO_REDUCE (A, OPERATION [, RESULT_IMAGE, STAT, ERRMSG])
16.9.58 CO_SUM (A [, RESULT_IMAGE, STAT, ERRMSG])
16.9.59 COMMAND_ARGUMENT_COUNT ( )
16.9.60 CONJG (Z)
16.9.61 COS (X)
16.9.62 COSD (X)
16.9.63 COSH (X)
16.9.64 COSHAPE (COARRAY [, KIND])
16.9.65 COSPI (X)
16.9.66 COUNT (MASK [, DIM, KIND])
16.9.67 CPU_TIME (TIME)
16.9.68 CSHIFT (ARRAY, SHIFT [, DIM])
16.9.69 DATE_AND_TIME ([DATE, TIME, ZONE, VALUES])
16.9.70 DBLE (A)
16.9.71 DIGITS (X)
16.9.72 DIM (X, Y)
16.9.73 DOT_PRODUCT (VECTOR_A, VECTOR_B)
16.9.74 DPROD (X, Y)
16.9.75 DSHIFTL (I, J, SHIFT)
16.9.76 DSHIFTR (I, J, SHIFT)
16.9.77 EOSHIFT (ARRAY, SHIFT [, BOUNDARY, DIM])
16.9.78 EPSILON (X)
16.9.79 ERF (X)
16.9.80 ERFC (X)
16.9.81 ERFC_SCALED (X)
16.9.82 EVENT_QUERY (EVENT, COUNT [, STAT])
16.9.83 EXECUTE_COMMAND_LINE (COMMAND [, WAIT, EXITSTAT, CMDSTAT, CMDMSG ])
16.9.84 EXP (X)
16.9.85 EXPONENT (X)
16.9.86 EXTENDS_TYPE_OF (A, MOLD)
16.9.87 FAILED_IMAGES ([TEAM, KIND])
16.9.88 FINDLOC (ARRAY, VALUE, DIM [, MASK, KIND, BACK]) or FINDLOC (ARRAY, VALUE [, MASK, KIND, BACK])
16.9.89 FLOOR (A [, KIND])
16.9.90 FRACTION (X)
16.9.91 GAMMA (X)
16.9.92 GET_COMMAND ([COMMAND, LENGTH, STATUS, ERRMSG])
16.9.93 GET_COMMAND_ARGUMENT (NUMBER [, VALUE, LENGTH, STATUS, ERRMSG])
16.9.94 GET_ENVIRONMENT_VARIABLE (NAME [, VALUE, LENGTH, STATUS, TRIM_NAME, ERRMSG])
16.9.95 GET_TEAM ([LEVEL])
16.9.96 HUGE (X)
16.9.97 HYPOT (X, Y)
16.9.98 IACHAR (C [, KIND])
16.9.99 IALL (ARRAY, DIM [, MASK]) or IALL (ARRAY [, MASK])
16.9.100 IAND (I, J)
16.9.101 IANY (ARRAY, DIM [, MASK]) or IANY (ARRAY [, MASK])
16.9.102 IBCLR (I, POS)
16.9.103 IBITS (I, POS, LEN)
16.9.104 IBSET (I, POS)
16.9.105 ICHAR (C [, KIND])
16.9.106 IEOR (I, J)
16.9.107 IMAGE_INDEX (COARRAY, SUB) or (COARRAY, SUB, TEAM) or (COARRAY, SUB, TEAM_NUMBER)
16.9.108 IMAGE_STATUS (IMAGE [, TEAM])
16.9.109 INDEX (STRING, SUBSTRING [, BACK, KIND])
16.9.110 INT (A [, KIND])
16.9.111 IOR (I, J)
16.9.112 IPARITY (ARRAY, DIM [, MASK]) or IPARITY (ARRAY [, MASK])
16.9.113 ISHFT (I, SHIFT)
16.9.114 ISHFTC (I, SHIFT [, SIZE])
16.9.115 IS_CONTIGUOUS (ARRAY)
16.9.116 IS_IOSTAT_END (I)
16.9.117 IS_IOSTAT_EOR (I)
16.9.118 KIND (X)
16.9.119 LBOUND (ARRAY [, DIM, KIND])
16.9.120 LCOBOUND (COARRAY [, DIM, KIND])
16.9.121 LEADZ (I)
16.9.122 LEN (STRING [, KIND])
16.9.123 LEN_TRIM (STRING [, KIND])
16.9.124 LGE (STRING_A, STRING_B)
16.9.125 LGT (STRING_A, STRING_B)
16.9.126 LLE (STRING_A, STRING_B)
16.9.127 LLT (STRING_A, STRING_B)
16.9.128 LOG (X)
16.9.129 LOG_GAMMA (X)
16.9.130 LOG10 (X)
16.9.131 LOGICAL (L [, KIND])
16.9.132 MASKL (I [, KIND])
16.9.133 MASKR (I [, KIND])
16.9.134 MATMUL (MATRIX_A, MATRIX_B)
16.9.135 MAX (A1, A2 [, A3, …])
16.9.136 MAXEXPONENT (X)
16.9.137 MAXLOC (ARRAY, DIM [, MASK, KIND, BACK]) or MAXLOC (ARRAY [, MASK, KIND, BACK])
16.9.138 MAXVAL (ARRAY, DIM [, MASK]) or MAXVAL (ARRAY [, MASK])
16.9.139 MERGE (TSOURCE, FSOURCE, MASK)
16.9.140 MERGE_BITS (I, J, MASK)
16.9.141 MIN (A1, A2 [, A3, …])
16.9.142 MINEXPONENT (X)
16.9.143 MINLOC (ARRAY, DIM [, MASK, KIND, BACK]) or MINLOC (ARRAY [, MASK, KIND, BACK])
16.9.144 MINVAL (ARRAY, DIM [, MASK]) or MINVAL (ARRAY [, MASK])
16.9.145 MOD (A, P)
16.9.146 MODULO (A, P)
16.9.147 MOVE_ALLOC (FROM, TO [, STAT, ERRMSG])
16.9.148 MVBITS (FROM, FROMPOS, LEN, TO, TOPOS)
16.9.149 NEAREST (X, S)
16.9.150 NEW_LINE (A)
16.9.151 NEXT (A [, STAT])
16.9.152 NINT (A [, KIND])
16.9.153 NORM2 (X) or NORM2 (X, DIM)
16.9.154 NOT (I)
16.9.155 NULL ([MOLD])
16.9.156 NUM_IMAGES ( ) or NUM_IMAGES (TEAM) or NUM_IMAGES (TEAM_NUMBER)
16.9.157 OUT_OF_RANGE (X, MOLD [, ROUND])
16.9.158 PACK (ARRAY, MASK [, VECTOR])
16.9.159 PARITY (MASK) or PARITY (MASK, DIM)
16.9.160 POPCNT (I)
16.9.161 POPPAR (I)
16.9.162 PRECISION (X)
16.9.163 PRESENT (A)
16.9.164 PREVIOUS (A [, STAT])
16.9.165 PRODUCT (ARRAY, DIM [, MASK]) or PRODUCT (ARRAY [, MASK])
16.9.166 RADIX (X)
16.9.167 RANDOM_INIT (REPEATABLE, IMAGE_DISTINCT)
16.9.168 RANDOM_NUMBER (HARVEST)
16.9.169 RANDOM_SEED ([SIZE, PUT, GET])
16.9.170 RANGE (X)
16.9.171 RANK (A)
16.9.172 REAL (A [, KIND])
16.9.173 REDUCE (ARRAY, OPERATION [, MASK, IDENTITY, ORDERED]) or REDUCE (ARRAY, OPERATION, DIM [, MASK, IDENTITY, ORDERED])
16.9.174 REPEAT (STRING, NCOPIES)
16.9.175 RESHAPE (SOURCE, SHAPE [, PAD, ORDER])
16.9.176 RRSPACING (X)
16.9.177 SAME_TYPE_AS (A, B)
16.9.178 SCALE (X, I)
16.9.179 SCAN (STRING, SET [, BACK, KIND])
16.9.180 SELECTED_CHAR_KIND (NAME)
16.9.181 SELECTED_INT_KIND (R)
16.9.182 SELECTED_LOGICAL_KIND (BITS)
16.9.183 SELECTED_REAL_KIND ([P, R, RADIX])
16.9.184 SET_EXPONENT (X, I)
16.9.185 SHAPE (SOURCE [, KIND])
16.9.186 SHIFTA (I, SHIFT)
16.9.187 SHIFTL (I, SHIFT)
16.9.188 SHIFTR (I, SHIFT)
16.9.189 SIGN (A, B)
16.9.190 SIN (X)
16.9.191 SIND (X)
16.9.192 SINH (X)
16.9.193 SINPI (X)
16.9.194 SIZE (ARRAY [, DIM, KIND])
16.9.195 SPACING (X)
16.9.196 SPLIT (STRING, SET, POS [, BACK])
16.9.197 SPREAD (SOURCE, DIM, NCOPIES)
16.9.198 SQRT (X)
16.9.199 STOPPED_IMAGES ([TEAM, KIND])
16.9.200 STORAGE_SIZE (A [, KIND])
16.9.201 SUM (ARRAY, DIM [, MASK]) or SUM (ARRAY [, MASK])
16.9.202 SYSTEM_CLOCK ([COUNT, COUNT_RATE, COUNT_MAX])
16.9.203 TAN (X)
16.9.204 TAND (X)
16.9.205 TANH (X)
16.9.206 TANPI (X)
16.9.207 TEAM_NUMBER ([TEAM])
16.9.208 THIS_IMAGE ([TEAM]) or THIS_IMAGE (COARRAY [, TEAM]) or THIS_IMAGE (COARRAY, DIM [, TEAM])
16.9.209 TINY (X)
16.9.210 TOKENIZE (STRING, SET, TOKENS [, SEPARATOR]) or TOKENIZE (STRING, SET, FIRST, LAST)
16.9.211 TRAILZ (I)
16.9.212 TRANSFER (SOURCE, MOLD [, SIZE])
16.9.213 TRANSPOSE (MATRIX)
16.9.214 TRIM (STRING)
16.9.215 UBOUND (ARRAY [, DIM, KIND])
16.9.216 UCOBOUND (COARRAY [, DIM, KIND])
16.9.217 UNPACK (VECTOR, MASK, FIELD)
16.9.218 VERIFY (STRING, SET [, BACK, KIND])
16.10 Standard intrinsic modules
16.10.1 General
16.10.2 The ISO_FORTRAN_ENV intrinsic module
17 Exceptions and IEEE arithmetic
17.1 Overview of IEEE arithmetic support
17.2 Derived types, constants, and operators defined in the modules
17.3 The exceptions
17.4 The rounding modes
17.5 Underflow mode
17.6 Halting
17.7 The floating-point modes and status
17.8 Exceptional values
17.9 IEEE arithmetic
17.10 Summary of the procedures
17.11 Specifications of the procedures
17.11.1 General
17.11.2 IEEE_CLASS (X)
17.11.3 IEEE_COPY_SIGN (X, Y)
17.11.4 IEEE_FMA (A, B, C)
17.11.5 IEEE_GET_FLAG (FLAG, FLAG_VALUE)
17.11.6 IEEE_GET_HALTING_MODE (FLAG, HALTING)
17.11.7 IEEE_GET_MODES (MODES)
17.11.8 IEEE_GET_ROUNDING_MODE (ROUND_VALUE [, RADIX])
17.11.9 IEEE_GET_STATUS (STATUS_VALUE)
17.11.10 IEEE_GET_UNDERFLOW_MODE (GRADUAL)
17.11.11 IEEE_INT (A, ROUND [, KIND])
17.11.12 IEEE_IS_FINITE (X)
17.11.13 IEEE_IS_NAN (X)
17.11.14 IEEE_IS_NEGATIVE (X)
17.11.15 IEEE_IS_NORMAL (X)
17.11.16 IEEE_LOGB (X)
17.11.17 IEEE_MAX (X, Y)
17.11.18 IEEE_MAX_MAG (X, Y)
17.11.19 IEEE_MAX_NUM (X, Y)
17.11.20 IEEE_MAX_NUM_MAG (X, Y)
17.11.21 IEEE_MIN (X, Y)
17.11.22 IEEE_MIN_MAG (X, Y)
17.11.23 IEEE_MIN_NUM (X, Y)
17.11.24 IEEE_MIN_NUM_MAG (X, Y)
17.11.25 IEEE_NEXT_AFTER (X, Y)
17.11.26 IEEE_NEXT_DOWN (X)
17.11.27 IEEE_NEXT_UP (X)
17.11.28 IEEE_QUIET_EQ (A, B)
17.11.29 IEEE_QUIET_GE (A, B)
17.11.30 IEEE_QUIET_GT (A, B)
17.11.31 IEEE_QUIET_LE (A, B)
17.11.32 IEEE_QUIET_LT (A, B)
17.11.33 IEEE_QUIET_NE (A, B)
17.11.34 IEEE_REAL (A [, KIND])
17.11.35 IEEE_REM (X, Y)
17.11.36 IEEE_RINT (X [, ROUND])
17.11.37 IEEE_SCALB (X, I)
17.11.38 IEEE_SELECTED_REAL_KIND ([P, R, RADIX])
17.11.39 IEEE_SET_FLAG (FLAG, FLAG_VALUE)
17.11.40 IEEE_SET_HALTING_MODE (FLAG, HALTING)
17.11.41 IEEE_SET_MODES (MODES)
17.11.42 IEEE_SET_ROUNDING_MODE (ROUND_VALUE [, RADIX])
17.11.43 IEEE_SET_STATUS (STATUS_VALUE)
17.11.44 IEEE_SET_UNDERFLOW_MODE (GRADUAL)
17.11.45 IEEE_SIGNALING_EQ (A, B)
17.11.46 IEEE_SIGNALING_GE (A, B)
17.11.47 IEEE_SIGNALING_GT (A, B)
17.11.48 IEEE_SIGNALING_LE (A, B)
17.11.49 IEEE_SIGNALING_LT (A, B)
17.11.50 IEEE_SIGNALING_NE (A, B)
17.11.51 IEEE_SIGNBIT (X)
17.11.52 IEEE_SUPPORT_DATATYPE () or IEEE_SUPPORT_DATATYPE (X)
17.11.53 IEEE_SUPPORT_DENORMAL () or IEEE_SUPPORT_DENORMAL (X)
17.11.54 IEEE_SUPPORT_DIVIDE () or IEEE_SUPPORT_DIVIDE (X)
17.11.55 IEEE_SUPPORT_FLAG (FLAG) or IEEE_SUPPORT_FLAG (FLAG, X)
17.11.56 IEEE_SUPPORT_HALTING (FLAG)
17.11.57 IEEE_SUPPORT_INF () or IEEE_SUPPORT_INF (X)
17.11.58 IEEE_SUPPORT_IO () or IEEE_SUPPORT_IO (X)
17.11.59 IEEE_SUPPORT_NAN () or IEEE_SUPPORT_NAN (X)
17.11.60 IEEE_SUPPORT_ROUNDING (ROUND_VALUE) or IEEE_SUPPORT_ROUNDING (ROUND_VALUE, X)
17.11.61 IEEE_SUPPORT_SQRT () or IEEE_SUPPORT_SQRT (X)
17.11.62 IEEE_SUPPORT_STANDARD () or IEEE_SUPPORT_STANDARD (X)
17.11.63 IEEE_SUPPORT_SUBNORMAL () or IEEE_SUPPORT_SUBNORMAL (X)
17.11.64 IEEE_SUPPORT_UNDERFLOW_CONTROL () or IEEE_SUPPORT_UNDERFLOW_CONTROL (X)
17.11.65 IEEE_UNORDERED (X, Y)
17.11.66 IEEE_VALUE (X, CLASS)
17.12 Examples
18 Interoperability with C
18.1 General
18.2 The ISO_C_BINDING intrinsic module
18.2.1 Summary of contents
18.2.2 Named constants and derived types in the module
18.2.3 Procedures in the module
18.3 Interoperability between Fortran and C entities
18.3.1 Interoperability of intrinsic types
18.3.2 Interoperability with C pointer types
18.3.3 Interoperability of enum types
18.3.4 Interoperability of derived types and C structure types
18.3.5 Interoperability of scalar variables
18.3.6 Interoperability of array variables
18.3.7 Interoperability of procedures and procedure interfaces
18.4 C descriptors
18.5 The source file ISO_Fortran_binding.h
18.5.1 Summary of contents
18.5.2 The CFI_dim_t structure type
18.5.3 The CFI_cdesc_t structure type
18.5.4 Macros and typedefs in ISO_Fortran_binding.h
18.5.5 Functions declared in ISO_Fortran_binding.h
18.6 Restrictions on C descriptors
18.7 Restrictions on formal parameters
18.8 Restrictions on lifetimes
18.9 Interoperation with C global variables
18.9.1 General
18.9.2 Binding labels for common blocks and variables
18.10 Interoperation with C functions
18.10.1 Definition and reference of interoperable procedures
18.10.2 Binding labels for procedures
18.10.3 Exceptions and IEEE arithmetic procedures
18.10.4 Asynchronous communication
19 Scope, association, and definition
19.1 Scopes, identifiers, and entities
19.2 Global identifiers
19.3 Local identifiers
19.3.1 Classes of local identifiers
19.3.2 Local identifiers that are the same as common block names
19.3.3 Function results
19.3.4 Components, type parameters, and bindings
19.3.5 Argument keywords
19.4 Statement and construct entities
19.5 Association
19.5.1 Name association
19.5.2 Pointer association
19.5.3 Storage association
19.5.4 Inheritance association
19.5.5 Establishing associations
19.6 Definition and undefinition of variables
19.6.1 Definition of objects and subobjects
19.6.2 Variables that are always defined
19.6.3 Variables that are initially defined
19.6.4 Variables that are initially undefined
19.6.5 Events that cause variables to become defined
19.6.6 Events that cause variables to become undefined
19.6.7 Variable definition context
19.6.8 Pointer association context
Annex A (Informative) Processor dependencies
Annex B (Informative) Deleted and obsolescent features
Annex C (Informative) Extended notes
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Preface
Foreword
Introduction
1 Scope
2 Normative references
3 Terms and definitions
4 Notation, conformance, and compatibility
4.1 Notation, symbols and abbreviated terms
4.1.1 Syntax rules
4.1.2 Constraints
4.1.3 Assumed syntax rules
4.1.4 Syntax conventions and characteristics
4.1.5 Text conventions
4.2 Conformance
4.3 Compatibility
4.3.1 Previous Fortran standards
4.3.2 New intrinsic procedures
4.3.3 Fortran 2018 compatibility
4.3.4 Fortran 2008 compatibility
4.3.5 Fortran 2003 compatibility
4.3.6 Fortran 95 compatibility
4.3.7 Fortran 90 compatibility
4.3.8 Fortran 77 compatibility
4.4 Deleted and obsolescent features
4.4.1 General
4.4.2 Nature of deleted features
4.4.3 Nature of obsolescent features
5 Fortran concepts
5.1 High level syntax
5.2 Program unit concepts
5.2.1 Program units and scoping units
5.2.2 Program
5.2.3 Procedure
5.2.4 Module
5.2.5 Submodule
5.3 Execution concepts
5.3.1 Statement classification
5.3.2 Statement order
5.3.3 The END statement
5.3.4 Program execution
5.3.5 Execution sequence
5.3.6 Image execution states
5.3.7 Termination of execution
5.4 Data concepts
5.4.1 Type
5.4.2 Data value
5.4.3 Data entity
5.4.4 Definition of objects and pointers
5.4.5 Reference
5.4.6 Array
5.4.7 Coarray
5.4.8 Established coarrays
5.4.9 Pointer
5.4.10 Allocatable variables
5.4.11 Storage
5.5 Fundamental concepts
5.5.1 Names and designators
5.5.2 Statement keyword
5.5.3 Other keywords
5.5.4 Association
5.5.5 Intrinsic
5.5.6 Operator
5.5.7 Companion processors
6 Lexical tokens and source form
6.1 Processor character set
6.1.1 Characters
6.1.2 Letters
6.1.3 Digits
6.1.4 Underscore
6.1.5 Special characters
6.1.6 Other characters
6.2 Low-level syntax
6.2.1 Tokens
6.2.2 Names
6.2.3 Constants
6.2.4 Operators
6.2.5 Statement labels
6.2.6 Delimiters
6.3 Source form
6.3.1 Program units, statements, and lines
6.3.2 Free source form
6.3.3 Fixed source form
6.4 Including source text
7 Types
7.1 Characteristics of types
7.1.1 The concept of type
7.1.2 Type classification
7.1.3 Set of values
7.1.4 Constants
7.1.5 Operations
7.2 Type parameters
7.3 Types, type specifiers, and values
7.3.1 Relationship of types and values to objects
7.3.2 Type specifiers
7.3.3 Type compatibility
7.4 Intrinsic types
7.4.1 Classification and specification
7.4.2 Intrinsic operations on intrinsic types
7.4.3 Numeric intrinsic types
7.4.4 Character type
7.4.5 Logical type
7.5 Derived types
7.5.1 Derived type concepts
7.5.2 Derived-type definition
7.5.3 Derived-type parameters
7.5.4 Components
7.5.5 Type-bound procedures
7.5.6 Final subroutines
7.5.7 Type extension
7.5.8 Derived-type values
7.5.9 Derived-type specifier
7.5.10 Construction of derived-type values
7.5.11 Derived-type operations and assignment
7.6 Other nonintrinsic types
7.6.1 Interoperable enumerations and enum types
7.6.2 Enumeration types
7.7 Binary, octal, and hexadecimal literal constants
7.8 Construction of array values
8 Attribute declarations and specifications
8.1 Attributes of procedures and data objects
8.2 Type declaration statement
8.3 Automatic data objects
8.4 Initialization
8.5 Attributes
8.5.1 Attribute specification
8.5.2 Accessibility attribute
8.5.3 ALLOCATABLE attribute
8.5.4 ASYNCHRONOUS attribute
8.5.5 BIND attribute for data entities
8.5.6 CODIMENSION attribute
8.5.7 CONTIGUOUS attribute
8.5.8 DIMENSION attribute
8.5.9 EXTERNAL attribute
8.5.10 INTENT attribute
8.5.11 INTRINSIC attribute
8.5.12 OPTIONAL attribute
8.5.13 PARAMETER attribute
8.5.14 POINTER attribute
8.5.15 PROTECTED attribute
8.5.16 SAVE attribute
8.5.17 RANK clause
8.5.18 TARGET attribute
8.5.19 VALUE attribute
8.5.20 VOLATILE attribute
8.6 Attribute specification statements
8.6.1 Accessibility statement
8.6.2 ALLOCATABLE statement
8.6.3 ASYNCHRONOUS statement
8.6.4 BIND statement
8.6.5 CODIMENSION statement
8.6.6 CONTIGUOUS statement
8.6.7 DATA statement
8.6.8 DIMENSION statement
8.6.9 INTENT statement
8.6.10 OPTIONAL statement
8.6.11 PARAMETER statement
8.6.12 POINTER statement
8.6.13 PROTECTED statement
8.6.14 SAVE statement
8.6.15 TARGET statement
8.6.16 VALUE statement
8.6.17 VOLATILE statement
8.7 IMPLICIT statement
8.8 IMPORT statement
8.9 NAMELIST statement
8.10 Storage association of data objects
8.10.1 EQUIVALENCE statement
8.10.2 COMMON statement
8.10.3 Restrictions on common and equivalence
9 Use of data objects
9.1 Designator
9.2 Variable
9.3 Constants
9.4 Scalars
9.4.1 Substrings
9.4.2 Structure components
9.4.3 Coindexed named objects
9.4.4 Complex parts
9.4.5 Type parameter inquiry
9.5 Arrays
9.5.1 Order of reference
9.5.2 Whole arrays
9.5.3 Array elements and array sections
9.5.4 Simply contiguous array designators
9.6 Image selectors
9.7 Dynamic association
9.7.1 ALLOCATE statement
9.7.2 NULLIFY statement
9.7.3 DEALLOCATE statement
9.7.4 STAT= specifier
9.7.5 ERRMSG= specifier
10 Expressions and assignment
10.1 Expressions
10.1.1 Expression semantics
10.1.2 Form of an expression
10.1.3 Precedence of operators
10.1.4 Evaluation of operations
10.1.5 Intrinsic operations
10.1.6 Defined operations
10.1.7 Evaluation of operands
10.1.8 Integrity of parentheses
10.1.9 Type, type parameters, and shape of an expression
10.1.10 Conformability rules for elemental operations
10.1.11 Specification expression
10.1.12 Constant expression
10.2 Assignment
10.2.1 Assignment statement
10.2.2 Pointer assignment
10.2.3 Masked array assignment − WHERE
10.2.4 FORALL
11 Execution control
11.1 Executable constructs containing blocks
11.1.1 Blocks
11.1.2 Rules governing blocks
11.1.3 ASSOCIATE construct
11.1.4 BLOCK construct
11.1.5 CHANGE TEAM construct
11.1.6 CRITICAL construct
11.1.7 DO construct
11.1.8 IF construct and statement
11.1.9 SELECT CASE construct
11.1.10 SELECT RANK construct
11.1.11 SELECT TYPE construct
11.1.12 EXIT statement
11.2 Branching
11.2.1 Branch concepts
11.2.2 GO TO statement
11.2.3 Computed GO TO statement
11.3 CONTINUE statement
11.4 STOP and ERROR STOP statements
11.5 FAIL IMAGE statement
11.6 NOTIFY WAIT statement
11.7 Image execution control
11.7.1 Image control statements
11.7.2 Segments
11.7.3 SYNC ALL statement
11.7.4 SYNC IMAGES statement
11.7.5 SYNC MEMORY statement
11.7.6 SYNC TEAM statement
11.7.7 EVENT POST statement
11.7.8 EVENT WAIT statement
11.7.9 FORM TEAM statement
11.7.10 LOCK and UNLOCK statements
11.7.11 STAT= and ERRMSG= specifiers in image control statements
12 Input/output statements
12.1 Input/output concepts
12.2 Records
12.2.1 Definition of a record
12.2.2 Formatted record
12.2.3 Unformatted record
12.2.4 Endfile record
12.3 External files
12.3.1 External file concepts
12.3.2 File existence
12.3.3 File access
12.3.4 File position
12.3.5 File storage units
12.4 Internal files
12.5 File connection
12.5.1 Referring to a file
12.5.2 Connection modes
12.5.3 Unit existence
12.5.4 Connection of a file to a unit
12.5.5 Preconnection
12.5.6 OPEN statement
12.5.7 CLOSE statement
12.6 Data transfer statements
12.6.1 Form of input and output statements
12.6.2 Control information list
12.6.3 Data transfer input/output list
12.6.4 Execution of a data transfer input/output statement
12.6.5 Termination of data transfer statements
12.7 Waiting on pending data transfer
12.7.1 Wait operation
12.7.2 WAIT statement
12.8 File positioning statements
12.8.1 Syntax
12.8.2 BACKSPACE statement
12.8.3 ENDFILE statement
12.8.4 REWIND statement
12.9 FLUSH statement
12.10 File inquiry statement
12.10.1 Forms of the INQUIRE statement
12.10.2 Inquiry specifiers
12.10.3 Inquire by output list
12.11 Error, end-of-record, and end-of-file conditions
12.11.1 Occurrence of input/output conditions
12.11.2 Error conditions and the ERR= specifier
12.11.3 End-of-file condition and the END= specifier
12.11.4 End-of-record condition and the EOR= specifier
12.11.5 IOSTAT= specifier
12.11.6 IOMSG= specifier
12.12 Restrictions on input/output statements
13 Input/output editing
13.1 Format specifications
13.2 Explicit format specification methods
13.2.1 FORMAT statement
13.2.2 Character format specification
13.3 Form of a format item list
13.3.1 Syntax
13.3.2 Edit descriptors
13.3.3 Fields
13.4 Interaction between input/output list and format
13.5 Positioning by format control
13.6 Decimal symbol
13.7 Data edit descriptors
13.7.1 Purpose of data edit descriptors
13.7.2 Numeric editing
13.7.3 Logical editing
13.7.4 Character editing
13.7.5 Generalized editing
13.7.6 User-defined derived-type editing
13.8 Control edit descriptors
13.8.1 Position edit descriptors
13.8.2 Slash editing
13.8.3 Colon editing
13.8.4 SS, SP, and S editing
13.8.5 LZS, LZP and LZ editing
13.8.6 P editing
13.8.7 BN and BZ editing
13.8.8 RU, RD, RZ, RN, RC, and RP editing
13.8.9 DC and DP editing
13.9 Character string edit descriptors
13.10 List-directed formatting
13.10.1 Purpose of list-directed formatting
13.10.2 Values and value separators
13.10.3 List-directed input
13.10.4 List-directed output
13.11 Namelist formatting
13.11.1 Purpose of namelist formatting
13.11.2 Name-value subsequences
13.11.3 Namelist input
13.11.4 Namelist output
14 Program units
14.1 Main program
14.2 Modules
14.2.1 Module syntax and semantics
14.2.2 The USE statement and use association
14.2.3 Submodules
14.3 Block data program units
15 Procedures
15.1 Concepts
15.2 Procedure classifications
15.2.1 Procedure classification by reference
15.2.2 Procedure classification by means of definition
15.3 Characteristics
15.3.1 Characteristics of procedures
15.3.2 Characteristics of dummy arguments
15.3.3 Characteristics of function results
15.4 Procedure interface
15.4.1 Interface and abstract interface
15.4.2 Implicit and explicit interfaces
15.4.3 Specification of the procedure interface
15.5 Procedure reference
15.5.1 Syntax of a procedure reference
15.5.2 Actual arguments, dummy arguments, and argument association
15.5.3 Function reference
15.5.4 Subroutine reference
15.5.5 Resolving named procedure references
15.5.6 Resolving type-bound procedure references
15.6 Procedure definition
15.6.1 Intrinsic procedure definition
15.6.2 Procedures defined by subprograms
15.6.3 Definition and invocation of procedures by means other than Fortran
15.6.4 Statement function
15.7 Pure procedures
15.8 Simple procedures
15.9 Elemental procedures
15.9.1 Elemental procedure declaration and interface
15.9.2 Elemental function actual arguments and results
15.9.3 Elemental subroutine actual arguments
16 Intrinsic procedures and modules
16.1 Classes of intrinsic procedures
16.2 Arguments to intrinsic procedures
16.2.1 General rules
16.2.2 The shape of array arguments
16.2.3 Mask arguments
16.2.4 DIM arguments and reduction functions
16.3 Bit model
16.3.1 General
16.3.2 Bit sequence comparisons
16.3.3 Bit sequences as arguments to INT and REAL
16.4 Numeric models
16.5 Atomic subroutines
16.6 Collective subroutines
16.7 Standard generic intrinsic procedures
16.8 Specific names for standard intrinsic functions
16.9 Specifications of the standard intrinsic procedures
16.9.1 General
16.9.2 ABS (A)
16.9.3 ACHAR (I [, KIND])
16.9.4 ACOS (X)
16.9.5 ACOSD (X)
16.9.6 ACOSH (X)
16.9.7 ACOSPI (X)
16.9.8 ADJUSTL (STRING)
16.9.9 ADJUSTR (STRING)
16.9.10 AIMAG (Z)
16.9.11 AINT (A [, KIND])
16.9.12 ALL (MASK) or ALL (MASK, DIM)
16.9.13 ALLOCATED (ARRAY) or ALLOCATED (SCALAR)
16.9.14 ANINT (A [, KIND])
16.9.15 ANY (MASK) or ANY (MASK, DIM)
16.9.16 ASIN (X)
16.9.17 ASIND (X)
16.9.18 ASINH (X)
16.9.19 ASINPI (X)
16.9.20 ASSOCIATED (POINTER [, TARGET])
16.9.21 ATAN (X) or ATAN (Y, X)
16.9.22 ATAN2 (Y, X)
16.9.23 ATAN2D (Y, X)
16.9.24 ATAN2PI (Y, X)
16.9.25 ATAND (X) or ATAND (Y, X)
16.9.26 ATANH (X)
16.9.27 ATANPI (X) or ATANPI (Y, X)
16.9.28 ATOMIC_ADD (ATOM, VALUE [, STAT])
16.9.29 ATOMIC_AND (ATOM, VALUE [, STAT])
16.9.30 ATOMIC_CAS (ATOM, OLD, COMPARE, NEW [, STAT])
16.9.31 ATOMIC_DEFINE (ATOM, VALUE [, STAT])
16.9.32 ATOMIC_FETCH_ADD (ATOM, VALUE, OLD [, STAT])
16.9.33 ATOMIC_FETCH_AND (ATOM, VALUE, OLD [, STAT])
16.9.34 ATOMIC_FETCH_OR (ATOM, VALUE, OLD [, STAT])
16.9.35 ATOMIC_FETCH_XOR (ATOM, VALUE, OLD [, STAT])
16.9.36 ATOMIC_OR (ATOM, VALUE [, STAT])
16.9.37 ATOMIC_REF (VALUE, ATOM [, STAT])
16.9.38 ATOMIC_XOR (ATOM, VALUE [, STAT])
16.9.39 BESSEL_J0 (X)
16.9.40 BESSEL_J1 (X)
16.9.41 BESSEL_JN (N, X) or BESSEL_JN (N1, N2, X)
16.9.42 BESSEL_Y0 (X)
16.9.43 BESSEL_Y1 (X)
16.9.44 BESSEL_YN (N, X) or BESSEL_YN (N1, N2, X)
16.9.45 BGE (I, J)
16.9.46 BGT (I, J)
16.9.47 BIT_SIZE (I)
16.9.48 BLE (I, J)
16.9.49 BLT (I, J)
16.9.50 BTEST (I, POS)
16.9.51 CEILING (A [, KIND])
16.9.52 CHAR (I [, KIND])
16.9.53 CMPLX (X [, KIND]) or CMPLX (X [, Y, KIND])
16.9.54 CO_BROADCAST (A, SOURCE_IMAGE [, STAT, ERRMSG])
16.9.55 CO_MAX (A [, RESULT_IMAGE, STAT, ERRMSG])
16.9.56 CO_MIN (A [, RESULT_IMAGE, STAT, ERRMSG])
16.9.57 CO_REDUCE (A, OPERATION [, RESULT_IMAGE, STAT, ERRMSG])
16.9.58 CO_SUM (A [, RESULT_IMAGE, STAT, ERRMSG])
16.9.59 COMMAND_ARGUMENT_COUNT ( )
16.9.60 CONJG (Z)
16.9.61 COS (X)
16.9.62 COSD (X)
16.9.63 COSH (X)
16.9.64 COSHAPE (COARRAY [, KIND])
16.9.65 COSPI (X)
16.9.66 COUNT (MASK [, DIM, KIND])
16.9.67 CPU_TIME (TIME)
16.9.68 CSHIFT (ARRAY, SHIFT [, DIM])
16.9.69 DATE_AND_TIME ([DATE, TIME, ZONE, VALUES])
16.9.70 DBLE (A)
16.9.71 DIGITS (X)
16.9.72 DIM (X, Y)
16.9.73 DOT_PRODUCT (VECTOR_A, VECTOR_B)
16.9.74 DPROD (X, Y)
16.9.75 DSHIFTL (I, J, SHIFT)
16.9.76 DSHIFTR (I, J, SHIFT)
16.9.77 EOSHIFT (ARRAY, SHIFT [, BOUNDARY, DIM])
16.9.78 EPSILON (X)
16.9.79 ERF (X)
16.9.80 ERFC (X)
16.9.81 ERFC_SCALED (X)
16.9.82 EVENT_QUERY (EVENT, COUNT [, STAT])
16.9.83 EXECUTE_COMMAND_LINE (COMMAND [, WAIT, EXITSTAT, CMDSTAT, CMDMSG ])
16.9.84 EXP (X)
16.9.85 EXPONENT (X)
16.9.86 EXTENDS_TYPE_OF (A, MOLD)
16.9.87 FAILED_IMAGES ([TEAM, KIND])
16.9.88 FINDLOC (ARRAY, VALUE, DIM [, MASK, KIND, BACK]) or FINDLOC (ARRAY, VALUE [, MASK, KIND, BACK])
16.9.89 FLOOR (A [, KIND])
16.9.90 FRACTION (X)
16.9.91 GAMMA (X)
16.9.92 GET_COMMAND ([COMMAND, LENGTH, STATUS, ERRMSG])
16.9.93 GET_COMMAND_ARGUMENT (NUMBER [, VALUE, LENGTH, STATUS, ERRMSG])
16.9.94 GET_ENVIRONMENT_VARIABLE (NAME [, VALUE, LENGTH, STATUS, TRIM_NAME, ERRMSG])
16.9.95 GET_TEAM ([LEVEL])
16.9.96 HUGE (X)
16.9.97 HYPOT (X, Y)
16.9.98 IACHAR (C [, KIND])
16.9.99 IALL (ARRAY, DIM [, MASK]) or IALL (ARRAY [, MASK])
16.9.100 IAND (I, J)
16.9.101 IANY (ARRAY, DIM [, MASK]) or IANY (ARRAY [, MASK])
16.9.102 IBCLR (I, POS)
16.9.103 IBITS (I, POS, LEN)
16.9.104 IBSET (I, POS)
16.9.105 ICHAR (C [, KIND])
16.9.106 IEOR (I, J)
16.9.107 IMAGE_INDEX (COARRAY, SUB) or (COARRAY, SUB, TEAM) or (COARRAY, SUB, TEAM_NUMBER)
16.9.108 IMAGE_STATUS (IMAGE [, TEAM])
16.9.109 INDEX (STRING, SUBSTRING [, BACK, KIND])
16.9.110 INT (A [, KIND])
16.9.111 IOR (I, J)
16.9.112 IPARITY (ARRAY, DIM [, MASK]) or IPARITY (ARRAY [, MASK])
16.9.113 ISHFT (I, SHIFT)
16.9.114 ISHFTC (I, SHIFT [, SIZE])
16.9.115 IS_CONTIGUOUS (ARRAY)
16.9.116 IS_IOSTAT_END (I)
16.9.117 IS_IOSTAT_EOR (I)
16.9.118 KIND (X)
16.9.119 LBOUND (ARRAY [, DIM, KIND])
16.9.120 LCOBOUND (COARRAY [, DIM, KIND])
16.9.121 LEADZ (I)
16.9.122 LEN (STRING [, KIND])
16.9.123 LEN_TRIM (STRING [, KIND])
16.9.124 LGE (STRING_A, STRING_B)
16.9.125 LGT (STRING_A, STRING_B)
16.9.126 LLE (STRING_A, STRING_B)
16.9.127 LLT (STRING_A, STRING_B)
16.9.128 LOG (X)
16.9.129 LOG_GAMMA (X)
16.9.130 LOG10 (X)
16.9.131 LOGICAL (L [, KIND])
16.9.132 MASKL (I [, KIND])
16.9.133 MASKR (I [, KIND])
16.9.134 MATMUL (MATRIX_A, MATRIX_B)
16.9.135 MAX (A1, A2 [, A3, …])
16.9.136 MAXEXPONENT (X)
16.9.137 MAXLOC (ARRAY, DIM [, MASK, KIND, BACK]) or MAXLOC (ARRAY [, MASK, KIND, BACK])
16.9.138 MAXVAL (ARRAY, DIM [, MASK]) or MAXVAL (ARRAY [, MASK])
16.9.139 MERGE (TSOURCE, FSOURCE, MASK)
16.9.140 MERGE_BITS (I, J, MASK)
16.9.141 MIN (A1, A2 [, A3, …])
16.9.142 MINEXPONENT (X)
16.9.143 MINLOC (ARRAY, DIM [, MASK, KIND, BACK]) or MINLOC (ARRAY [, MASK, KIND, BACK])
16.9.144 MINVAL (ARRAY, DIM [, MASK]) or MINVAL (ARRAY [, MASK])
16.9.145 MOD (A, P)
16.9.146 MODULO (A, P)
16.9.147 MOVE_ALLOC (FROM, TO [, STAT, ERRMSG])
16.9.148 MVBITS (FROM, FROMPOS, LEN, TO, TOPOS)
16.9.149 NEAREST (X, S)
16.9.150 NEW_LINE (A)
16.9.151 NEXT (A [, STAT])
16.9.152 NINT (A [, KIND])
16.9.153 NORM2 (X) or NORM2 (X, DIM)
16.9.154 NOT (I)
16.9.155 NULL ([MOLD])
16.9.156 NUM_IMAGES ( ) or NUM_IMAGES (TEAM) or NUM_IMAGES (TEAM_NUMBER)
16.9.157 OUT_OF_RANGE (X, MOLD [, ROUND])
16.9.158 PACK (ARRAY, MASK [, VECTOR])
16.9.159 PARITY (MASK) or PARITY (MASK, DIM)
16.9.160 POPCNT (I)
16.9.161 POPPAR (I)
16.9.162 PRECISION (X)
16.9.163 PRESENT (A)
16.9.164 PREVIOUS (A [, STAT])
16.9.165 PRODUCT (ARRAY, DIM [, MASK]) or PRODUCT (ARRAY [, MASK])
16.9.166 RADIX (X)
16.9.167 RANDOM_INIT (REPEATABLE, IMAGE_DISTINCT)
16.9.168 RANDOM_NUMBER (HARVEST)
16.9.169 RANDOM_SEED ([SIZE, PUT, GET])
16.9.170 RANGE (X)
16.9.171 RANK (A)
16.9.172 REAL (A [, KIND])
16.9.173 REDUCE (ARRAY, OPERATION [, MASK, IDENTITY, ORDERED]) or REDUCE (ARRAY, OPERATION, DIM [, MASK, IDENTITY, ORDERED])
16.9.174 REPEAT (STRING, NCOPIES)
16.9.175 RESHAPE (SOURCE, SHAPE [, PAD, ORDER])
16.9.176 RRSPACING (X)
16.9.177 SAME_TYPE_AS (A, B)
16.9.178 SCALE (X, I)
16.9.179 SCAN (STRING, SET [, BACK, KIND])
16.9.180 SELECTED_CHAR_KIND (NAME)
16.9.181 SELECTED_INT_KIND (R)
16.9.182 SELECTED_LOGICAL_KIND (BITS)
16.9.183 SELECTED_REAL_KIND ([P, R, RADIX])
16.9.184 SET_EXPONENT (X, I)
16.9.185 SHAPE (SOURCE [, KIND])
16.9.186 SHIFTA (I, SHIFT)
16.9.187 SHIFTL (I, SHIFT)
16.9.188 SHIFTR (I, SHIFT)
16.9.189 SIGN (A, B)
16.9.190 SIN (X)
16.9.191 SIND (X)
16.9.192 SINH (X)
16.9.193 SINPI (X)
16.9.194 SIZE (ARRAY [, DIM, KIND])
16.9.195 SPACING (X)
16.9.196 SPLIT (STRING, SET, POS [, BACK])
16.9.197 SPREAD (SOURCE, DIM, NCOPIES)
16.9.198 SQRT (X)
16.9.199 STOPPED_IMAGES ([TEAM, KIND])
16.9.200 STORAGE_SIZE (A [, KIND])
16.9.201 SUM (ARRAY, DIM [, MASK]) or SUM (ARRAY [, MASK])
16.9.202 SYSTEM_CLOCK ([COUNT, COUNT_RATE, COUNT_MAX])
16.9.203 TAN (X)
16.9.204 TAND (X)
16.9.205 TANH (X)
16.9.206 TANPI (X)
16.9.207 TEAM_NUMBER ([TEAM])
16.9.208 THIS_IMAGE ([TEAM]) or THIS_IMAGE (COARRAY [, TEAM]) or THIS_IMAGE (COARRAY, DIM [, TEAM])
16.9.209 TINY (X)
16.9.210 TOKENIZE (STRING, SET, TOKENS [, SEPARATOR]) or TOKENIZE (STRING, SET, FIRST, LAST)
16.9.211 TRAILZ (I)
16.9.212 TRANSFER (SOURCE, MOLD [, SIZE])
16.9.213 TRANSPOSE (MATRIX)
16.9.214 TRIM (STRING)
16.9.215 UBOUND (ARRAY [, DIM, KIND])
16.9.216 UCOBOUND (COARRAY [, DIM, KIND])
16.9.217 UNPACK (VECTOR, MASK, FIELD)
16.9.218 VERIFY (STRING, SET [, BACK, KIND])
16.10 Standard intrinsic modules
16.10.1 General
16.10.2 The ISO_FORTRAN_ENV intrinsic module
17 Exceptions and IEEE arithmetic
17.1 Overview of IEEE arithmetic support
17.2 Derived types, constants, and operators defined in the modules
17.3 The exceptions
17.4 The rounding modes
17.5 Underflow mode
17.6 Halting
17.7 The floating-point modes and status
17.8 Exceptional values
17.9 IEEE arithmetic
17.10 Summary of the procedures
17.11 Specifications of the procedures
17.11.1 General
17.11.2 IEEE_CLASS (X)
17.11.3 IEEE_COPY_SIGN (X, Y)
17.11.4 IEEE_FMA (A, B, C)
17.11.5 IEEE_GET_FLAG (FLAG, FLAG_VALUE)
17.11.6 IEEE_GET_HALTING_MODE (FLAG, HALTING)
17.11.7 IEEE_GET_MODES (MODES)
17.11.8 IEEE_GET_ROUNDING_MODE (ROUND_VALUE [, RADIX])
17.11.9 IEEE_GET_STATUS (STATUS_VALUE)
17.11.10 IEEE_GET_UNDERFLOW_MODE (GRADUAL)
17.11.11 IEEE_INT (A, ROUND [, KIND])
17.11.12 IEEE_IS_FINITE (X)
17.11.13 IEEE_IS_NAN (X)
17.11.14 IEEE_IS_NEGATIVE (X)
17.11.15 IEEE_IS_NORMAL (X)
17.11.16 IEEE_LOGB (X)
17.11.17 IEEE_MAX (X, Y)
17.11.18 IEEE_MAX_MAG (X, Y)
17.11.19 IEEE_MAX_NUM (X, Y)
17.11.20 IEEE_MAX_NUM_MAG (X, Y)
17.11.21 IEEE_MIN (X, Y)
17.11.22 IEEE_MIN_MAG (X, Y)
17.11.23 IEEE_MIN_NUM (X, Y)
17.11.24 IEEE_MIN_NUM_MAG (X, Y)
17.11.25 IEEE_NEXT_AFTER (X, Y)
17.11.26 IEEE_NEXT_DOWN (X)
17.11.27 IEEE_NEXT_UP (X)
17.11.28 IEEE_QUIET_EQ (A, B)
17.11.29 IEEE_QUIET_GE (A, B)
17.11.30 IEEE_QUIET_GT (A, B)
17.11.31 IEEE_QUIET_LE (A, B)
17.11.32 IEEE_QUIET_LT (A, B)
17.11.33 IEEE_QUIET_NE (A, B)
17.11.34 IEEE_REAL (A [, KIND])
17.11.35 IEEE_REM (X, Y)
17.11.36 IEEE_RINT (X [, ROUND])
17.11.37 IEEE_SCALB (X, I)
17.11.38 IEEE_SELECTED_REAL_KIND ([P, R, RADIX])
17.11.39 IEEE_SET_FLAG (FLAG, FLAG_VALUE)
17.11.40 IEEE_SET_HALTING_MODE (FLAG, HALTING)
17.11.41 IEEE_SET_MODES (MODES)
17.11.42 IEEE_SET_ROUNDING_MODE (ROUND_VALUE [, RADIX])
17.11.43 IEEE_SET_STATUS (STATUS_VALUE)
17.11.44 IEEE_SET_UNDERFLOW_MODE (GRADUAL)
17.11.45 IEEE_SIGNALING_EQ (A, B)
17.11.46 IEEE_SIGNALING_GE (A, B)
17.11.47 IEEE_SIGNALING_GT (A, B)
17.11.48 IEEE_SIGNALING_LE (A, B)
17.11.49 IEEE_SIGNALING_LT (A, B)
17.11.50 IEEE_SIGNALING_NE (A, B)
17.11.51 IEEE_SIGNBIT (X)
17.11.52 IEEE_SUPPORT_DATATYPE () or IEEE_SUPPORT_DATATYPE (X)
17.11.53 IEEE_SUPPORT_DENORMAL () or IEEE_SUPPORT_DENORMAL (X)
17.11.54 IEEE_SUPPORT_DIVIDE () or IEEE_SUPPORT_DIVIDE (X)
17.11.55 IEEE_SUPPORT_FLAG (FLAG) or IEEE_SUPPORT_FLAG (FLAG, X)
17.11.56 IEEE_SUPPORT_HALTING (FLAG)
17.11.57 IEEE_SUPPORT_INF () or IEEE_SUPPORT_INF (X)
17.11.58 IEEE_SUPPORT_IO () or IEEE_SUPPORT_IO (X)
17.11.59 IEEE_SUPPORT_NAN () or IEEE_SUPPORT_NAN (X)
17.11.60 IEEE_SUPPORT_ROUNDING (ROUND_VALUE) or IEEE_SUPPORT_ROUNDING (ROUND_VALUE, X)
17.11.61 IEEE_SUPPORT_SQRT () or IEEE_SUPPORT_SQRT (X)
17.11.62 IEEE_SUPPORT_STANDARD () or IEEE_SUPPORT_STANDARD (X)
17.11.63 IEEE_SUPPORT_SUBNORMAL () or IEEE_SUPPORT_SUBNORMAL (X)
17.11.64 IEEE_SUPPORT_UNDERFLOW_CONTROL () or IEEE_SUPPORT_UNDERFLOW_CONTROL (X)
17.11.65 IEEE_UNORDERED (X, Y)
17.11.66 IEEE_VALUE (X, CLASS)
17.12 Examples
18 Interoperability with C
18.1 General
18.2 The ISO_C_BINDING intrinsic module
18.2.1 Summary of contents
18.2.2 Named constants and derived types in the module
18.2.3 Procedures in the module
18.3 Interoperability between Fortran and C entities
18.3.1 Interoperability of intrinsic types
18.3.2 Interoperability with C pointer types
18.3.3 Interoperability of enum types
18.3.4 Interoperability of derived types and C structure types
18.3.5 Interoperability of scalar variables
18.3.6 Interoperability of array variables
18.3.7 Interoperability of procedures and procedure interfaces
18.4 C descriptors
18.5 The source file ISO_Fortran_binding.h
18.5.1 Summary of contents
18.5.2 The CFI_dim_t structure type
18.5.3 The CFI_cdesc_t structure type
18.5.4 Macros and typedefs in ISO_Fortran_binding.h
18.5.5 Functions declared in ISO_Fortran_binding.h
18.6 Restrictions on C descriptors
18.7 Restrictions on formal parameters
18.8 Restrictions on lifetimes
18.9 Interoperation with C global variables
18.9.1 General
18.9.2 Binding labels for common blocks and variables
18.10 Interoperation with C functions
18.10.1 Definition and reference of interoperable procedures
18.10.2 Binding labels for procedures
18.10.3 Exceptions and IEEE arithmetic procedures
18.10.4 Asynchronous communication
19 Scope, association, and definition
19.1 Scopes, identifiers, and entities
19.2 Global identifiers
19.3 Local identifiers
19.3.1 Classes of local identifiers
19.3.2 Local identifiers that are the same as common block names
19.3.3 Function results
19.3.4 Components, type parameters, and bindings
19.3.5 Argument keywords
19.4 Statement and construct entities
19.5 Association
19.5.1 Name association
19.5.2 Pointer association
19.5.3 Storage association
19.5.4 Inheritance association
19.5.5 Establishing associations
19.6 Definition and undefinition of variables
19.6.1 Definition of objects and subobjects
19.6.2 Variables that are always defined
19.6.3 Variables that are initially defined
19.6.4 Variables that are initially undefined
19.6.5 Events that cause variables to become defined
19.6.6 Events that cause variables to become undefined
19.6.7 Variable definition context
19.6.8 Pointer association context
Annex A (Informative) Processor dependencies
Annex B (Informative) Deleted and obsolescent features
Annex C (Informative) Extended notes