C H A P T E R  2

Fortran 95 Intrinsic Functions

This chapter lists the intrinsic function names recognized by the f95 compiler.


2.1 Standard Fortran 95 Generic Intrinsic Functions

The generic Fortran 95 intrinsic functions are grouped in this section by functionality as they appear in the Fortran 95 standard.

The arguments shown are the names that can be used as argument keywords when using the keyword form, as in cmplx(Y=B, KIND=M, X=A).

Consult the Fortran 95 standard for the detailed specifications of these generic intrinsic procedures.

2.1.1 Argument Presence Inquiry Function

Generic Intrinsic Name

Description

PRESENCE

Argument presence


2.1.2 Numeric Functions

Generic Intrinsic Name

Description

ABS (A)

Absolute value

AIMAG (Z)

Imaginary part of a complex number

AINT (A [, KIND])

Truncation to whole number

ANINT (A [, KIND])

Nearest whole number

CEILING (A [, KIND])

Least integer greater than or equal to number

CMPLX (X [, Y, KIND])

Conversion to complex type

CONJG (Z)

Conjugate of a complex number

DBLE (A)

Conversion to double precision real type

DIM (X, Y)

Positive difference

DPROD (X, Y)

Double precision real product

FLOOR (A [, KIND])

Greatest integer less than or equal to number

INT (A [, KIND])

Conversion to integer type

MAX (A1, A2 [, A3,...])

Maximum value

MIN (A1, A2 [, A3,...])

Minimum value

MOD (A, P)

Remainder function

MODULO (A, P)

Modulo function

NINT (A [, KIND])

Nearest integer

REAL (A [, KIND])

Conversion to real type

SIGN (A, B)

Transfer of sign


2.1.3 Mathematical Functions

Generic Intrinsic Name

Description

ACOS (X)

Arccosine

ASIN (X)

Arcsine

ATAN (X)

Arctangent

ATAN2 (Y, X)

Arctangent

COS (X)

Cosine

COSH (X)

Hyperbolic cosine

EXP (X)

Exponential

LOG (X)

Natural logarithm

LOG10 (X)

Common logarithm (base 10)

SIN (X)

Sine

SINH (X)

Hyperbolic sine

SQRT (X)

Square root

TAN (X)

Tangent

TANH (X)

Hyperbolic tangent


2.1.4 Character Functions

Generic Intrinsic Name

Description

ACHAR (I)

Character in given position in ASCII collating sequence

ADJUSTL (STRING)

Adjust left

ADJUSTR (STRING)

Adjust right

CHAR (I [, KIND])

Character in given position in processor collating sequence

IACHAR (C)

Position of a character in ASCII collating sequence

ICHAR (C)

Position of a character in processor collating sequence

INDEX (STRING, SUBSTRING [, BACK])

Starting position of a substring

LEN_TRIM (STRING)

Length without trailing blank characters

LGE (STRING_A, STRING_B)

Lexically greater than or equal

LGT (STRING_A, STRING_B)

Lexically greater than

LLE (STRING_A, STRING_B)

Lexically less than or equal

LLT (STRING_A, STRING_B)

Lexically less than

REPEAT (STRING, NCOPIES)

Repeated concatenation

SCAN (STRING, SET [, BACK])

Scan a string for a character in a set

TRIM (STRING)

Remove trailing blank characters

VERIFY (STRING, SET [, BACK])

Verify the set of characters in a string


2.1.5 Character Inquiry Function

Generic Intrinsic Name

Description

LEN (STRING)

Length of a character entity


2.1.6 Kind Functions

Generic Intrinsic Name

Description

KIND (X)

Kind type parameter value

SELECTED_INT_KIND (R)

Integer kind type parameter value, given range

SELECTED_REAL_KIND ([P, R])

Real kind type parameter value, given precision and range


2.1.7 Logical Function

Generic Intrinsic Name

Description

LOGICAL (L [, KIND])

Convert between objects of type logical with different kind type parameters


2.1.8 Numeric Inquiry Functions

Generic Intrinsic Name

Description

DIGITS (X)

Number of significant digits of the model

EPSILON (X)

Number that is almost negligible compared to one

HUGE (X)

Largest number of the model

MAXEXPONENT (X)

Maximum exponent of the model

MINEXPONENT (X)

Minimum exponent of the model

PRECISION (X)

Decimal precision

RADIX (X)

Base of the model

RANGE (X)

Decimal exponent range

TINY (X)

Smallest positive number of the model


2.1.9 Bit Inquiry Function

Generic Intrinsic Name

Description

BIT_SIZE (I)

Number of bits of the model


2.1.10 Bit Manipulation Functions

Generic Intrinsic Name

Description

BTEST (I, POS)

Bit testing

IAND (I, J)

Logical AND

IBCLR (I, POS)

Clear bit

IBITS (I, POS, LEN)

Bit extraction

IBSET (I, POS)

Set bit

IEOR (I, J)

Exclusive OR

IOR (I, J)

Inclusive OR

ISHFT (I, SHIFT)

Logical shift

ISHFTC (I, SHIFT [, SIZE])

Circular shift

NOT (I)

Logical complement


2.1.11 Transfer Function

Generic Intrinsic Name

Description

TRANSFER (SOURCE, MOLD [, SIZE])

Treat first argument as if of type of second argument


2.1.12 Floating-Point Manipulation Functions

Generic Intrinsic Name

Description

EXPONENT (X)

Exponent part of a model number

FRACTION (X)

Fractional part of a number

NEAREST (X, S)

Nearest different processor number in given direction

RRSPACING (X)

Reciprocal of the relative spacing of model numbers near given number

SCALE (X, I)

Multiply a real by its base to an integer power

SET_EXPONENT (X, I)

Set exponent part of a number

SPACING (X)

Absolute spacing of model numbers near given number


2.1.13 Vector and Matrix Multiply Functions

Generic Intrinsic Name

Description

DOT_PRODUCT (VECTOR_A, VECTOR_B)

Dot product of two rank-one arrays

MATMUL (MATRIX_A, MATRIX_B)

Matrix multiplication


2.1.14 Array Reduction Functions

Generic Intrinsic Name

Description

ALL (MASK [, DIM])

True if all values are true

ANY (MASK [, DIM])

True if any value is true

COUNT (MASK [, DIM])

Number of true elements in an array

MAXVAL (ARRAY, DIM [, MASK])

or MAXVAL (ARRAY [, MASK])

Maximum value in an array

MINVAL (ARRAY, DIM [, MASK])

or MINVAL (ARRAY [, MASK])

Minimum value in an array

PRODUCT (ARRAY, DIM [, MASK])

or PRODUCT (ARRAY [, MASK])

Product of array elements

SUM (ARRAY, DIM [, MASK])

or SUM (ARRAY [, MASK])

Sum of array elements


2.1.15 Array Inquiry Functions

Generic Intrinsic Name

Description

ALLOCATED (ARRAY)

Array allocation status

LBOUND (ARRAY [, DIM])

Lower dimension bounds of an array

SHAPE (SOURCE)

Shape of an array or scalar

SIZE (ARRAY [, DIM])

Total number of elements in an array

UBOUND (ARRAY [, DIM])

Upper dimension bounds of an array


2.1.16 Array Construction Functions

Generic Intrinsic Name

Description

MERGE (TSOURCE, FSOURCE, MASK)

Merge under mask

PACK (ARRAY, MASK [, VECTOR])

Pack an array into an array of rank one under a mask

SPREAD (SOURCE, DIM, NCOPIES)

Replicates array by adding a dimension

UNPACK (VECTOR, MASK, FIELD)

Unpack an array of rank one into an array under a mask


2.1.17 Array Reshape Function

Generic Intrinsic Name

Description

RESHAPE (SOURCE, SHAPE[, PAD, ORDER])

Reshape an array


2.1.18 Array Manipulation Functions

Generic Intrinsic Name

Description

CSHIFT (ARRAY, SHIFT [, DIM])

Circular shift

EOSHIFT (ARRAY, SHIFT [, BOUNDARY, DIM]

End-off shift

TRANSPOSE (MATRIX)

Transpose of an array of rank two


2.1.19 Array Location Functions

Generic Intrinsic Name

Description

MAXLOC (ARRAY, DIM [, MASK])

or MAXLOC (ARRAY [, MASK])

Location of a maximum value in an array

MINLOC (ARRAY, DIM [, MASK])

or MINLOC (ARRAY [, MASK])

Location of a minimum value in an array


2.1.20 Pointer Association Status Functions

Generic Intrinsic Name

Description

ASSOCIATED (POINTER [, TARGET])

Association status inquiry or comparison

NULL ([MOLD])

Returns disassociated pointer


2.1.21 Intrinsic Subroutines

Generic Intrinsic Name

Description

CPU_TIME (TIME)

Obtain processor time

DATE_AND_TIME ([DATE, TIME,

ZONE, VALUES])

Obtain date and time

MVBITS (FROM, FROMPOS,

LEN, TO, TOPOS)

Copies bits from one integer to another

RANDOM_NUMBER (HARVEST)

Returns pseudorandom number

RANDOM_SEED ([SIZE, PUT, GET])

Initializes or restarts the pseudorandom number generator

SYSTEM_CLOCK ([COUNT,

COUNT_RATE, COUNT_MAX])

Obtain data from the system clock


2.1.22 Specific names for intrinsic functions

TABLE 2-1 Specific and Generic Names for Fortran 95 Intrinsic Functions

Specific Name

Generic Name

Argument Type

 

ABS (A)

ABS (A)

default real

 

ACOS (X)

ACOS (X)

default real

 

AIMAG (Z)

AIMAG (Z)

default complex

 

AINT (A)

AINT (A)

default real

 

ALOG (X)

LOG (X)

default real

 

ALOG10 (X)

LOG10 (X)

default real

AMAX0 (A1, A2 [, A3,...])

REAL (MAX (A1, A2 [, A3,...]))

default integer

AMAX1 (A1, A2 [, A3,...])

MAX (A1, A2 [, A3,...])

default real

AMIN0 (A1, A2 [, A3,...])

REAL (MIN (A1, A2 [, A3,...]))

default integer

AMIN1 (A1, A2 [, A3,...])

MIN (A1, A2 [, A3,...])

default real

 

AMOD (A, P)

MOD (A, P)

default real

 

ANINT (A)

ANINT (A)

default real

 

ASIN (X)

ASIN (X)

default real

 

ATAN (X)

ATAN (X)

default real

 

ATAN2 (Y, X)

ATAN2 (Y, X)

default real

 

CABS (A)

ABS (A)

default complex

 

CCOS (X)

COS (X)

default complex

 

CEXP (X)

EXP (X)

default complex

CHAR (I)

CHAR (I)

default integer

 

CLOG (X)

LOG (X)

default complex

 

CONJG (Z)

CONJG (Z)

default complex

 

COS (X)

COS (X)

default real

 

COSH (X)

COSH (X)

default real

 

CSIN (X)

SIN (X)

default complex

 

CSQRT (X)

SQRT (X)

default complex

 

DABS (A)

ABS (A)

double precision

 

DACOS (X)

ACOS (X)

double precision

 

DASIN (X)

ASIN (X)

double precision

 

DATAN (X)

ATAN (X)

double precision

 

DATAN2 (Y, X)

ATAN2 (Y, X)

double precision

 

DCOS (X)

COS (X)

double precision

 

DCOSH (X)

COSH (X)

double precision

 

DDIM (X, Y)

DIM (X, Y)

double precision

 

DEXP (X)

EXP (X)

double precision

 

DIM (X, Y)

DIM (X, Y)

default real

 

DINT (A)

AINT (A)

double precision

 

DLOG (X)

LOG (X)

double precision

 

DLOG10 (X)

LOG10 (X)

double precision

DMAX1 (A1, A2 [, A3,...])

MAX (A1, A2 [, A3,...])

double precision

DMIN1 (A1, A2 [, A3,...])

MIN (A1, A2 [, A3,...])

double precision

 

DMOD (A, P)

MOD (A, P)

double precision

 

DNINT (A)

ANINT (A)

double precision

 

DPROD (X, Y)

DPROD (X, Y)

default real

 

DSIGN (A, B)

SIGN (A, B)

double precision

 

DSIN (X)

SIN (X)

double precision

 

DSINH (X)

SINH (X)

double precision

 

DSQRT (X)

SQRT (X)

double precision

 

DTAN (X)

TAN (X)

double precision

 

DTANH (X)

TANH (X)

double precision

 

EXP (X)

EXP (X)

default real

FLOAT (A)

REAL (A)

default integer

 

IABS (A)

ABS (A)

default integer

ICHAR (C)

ICHAR (C)

default character

 

IDIM (X, Y)

DIM (X, Y)

default integer

IDINT (A)

INT (A)

double precision

 

IDNINT (A)

NINT (A)

double precision

IFIX (A)

INT (A)

default real

 

INDEX (STRING, SUBSTRING)

INDEX (STRING, SUBSTRING)

default character

INT (A)

INT (A)

default real

 

ISIGN (A, B)

SIGN (A, B)

default integer

 

LEN (STRING)

LEN (STRING)

default character

LGE (STRING_A, STRING_B)

LGE (STRING_A, STRING_B)

default character

LGT (STRING_A, STRING_B)

LGT (STRING_A, STRING_B)

default character

LLE (STRING_A, STRING_B)

LLE (STRING_A, STRING_B)

default character

LLT (STRING_A, STRING_B)

LLT (STRING_A, STRING_B)

default character

MAX0 (A1, A2 [, A3,...])

MAX (A1, A2 [, A3,...])

default integer

MAX1 (A1, A2 [, A3,...])

INT (MAX (A1, A2 [, A3,...]))

default real

MIN0 (A1, A2 [, A3,...])

MIN (A1, A2 [, A3,...])

default integer

MIN1 (A1, A2 [, A3,...])

INT (MIN (A1, A2 [, A3,...]))

default real

 

MOD (A, P)

MOD (A, P)

default integer

 

NINT (A)

NINT (A)

default real

REAL (A)

REAL (A)

default integer

 

SIGN (A, B)

SIGN (A, B)

default real

 

SIN (X)

SIN (X)

default real

 

SINH (X)

SINH (X)

default real

SNGL (A)

REAL (A)

double precision

 

SQRT (X)

SQRT (X)

default real

 

TAN (X)

TAN (X)

default real

 

TANH (X)

TANH (X)

default real


Functions marked with • cannot be used as an actual argument.
"double precision" means double-precision real.


2.2 Non-Standard Fortran 95 Intrinsic Functions

The following functions are considered intrinsics by the f95 compiler, but are not part of the Fortran 95 standard.

2.2.1 Basic Linear Algebra Functions (BLAS)

When compiling with -xknown_lib=blas, the compiler will recognize calls to the following routines as intrinsics and will optimize for and link to the Sun Performance Library implementation. The compiler will ignore user-supplied versions of these routines.

TABLE 2-2 BLAS Intrinsics

Function

Description

CAXPY

DAXPY

SAXPY

ZAXPY

Product of a scalar and a vector plus a vector

CCOPY

DCOPY

SCOPY

ZCOPY

Copy a vector

CDOTC

CDOTU

DDOT

SDOT

ZDOTC

ZDOTU

Dot product (inner product)

CSCAL

DSCAL

SSCAL

ZSCAL

Scale a vector


See the Sun Performance Library User's Guide for more information on these routines.

2.2.2 Interval Arithmetic Intrinsic Functions

The following table lists intrinsic functions that are recognized by the compiler when compiling for interval arithmetic (-xia). For details, see the Fortran 95 Interval Arithmetic Programming Reference.

DINTERVAL

DIVIX

INF

INTERVAL

ISEMPTY

MAG

MID

MIG

NDIGITS

QINTERVAL

SINTERVAL

SUP

VDABS

VDACOS

VDASIN

VDATAN

VDATAN2

VDCEILING

VDCOS

VDCOSH

VDEXP

VDFLOOR

VDINF

VDINT

VDISEMPTY

VDLOG

VDLOG10

VDMAG

VDMID

VDMIG

VDMOD

VDNINT

VDSIGN

VDSIN

VDSINH

VDSQRT

VDSUP

VDTAN

VDTANH

VDWID

VQABS

VQCEILING

VQFLOOR

VQINF

VQINT

VQISEMPTY

VQMAG

VQMID

VQMIG

VQNINT

VQSUP

VQWID

VSABS

VSACOS

VSASIN

VSATAN

VSATAN2

VSCEILING

VSCOS

VSCOSH

VSEXP

VSFLOOR

VSINF

VSINT

VSISEMPTY

VSLOG

VSLOG10

VSMAG

VSMID

VSMIG

VSMOD

VSNINT

VSSIGN

VSSIN

VSSINH

VSSQRT

VSSUP

VSTAN

VSTANH

VSWID

WID

 

 

 


2.2.3 Other Vendor Intrinsic Functions

The f95 compiler recognizes a variety of legacy intrinsic functions that were defined by Fortran compilers from other vendors, including Cray Research, Inc. These are obsolete and their use should be avoided.

TABLE 2-3 Intrinsic Functions From Cray CF90 and Other Compilers

Function

Arguments

Description

CLOC

([C=]c)

Obtains the address of a character object

COMPL

([I=]i)

Bit-by-bit complement of a word. Use NOT(i) instead

COT

([X=]x)

Generic cotangent. (Also: DCOT, QCOT)

CSMG

([I=]i,[J=]j,[K=]k)

Conditional Scalar Merge

DSHIFTL

([I=]i,[J=]j,[K=]k)

Double-object left shift of i and j by k bits

DSHIFTR

([I=]i,[J=]j,[K=]k)

Double-object right shift of i and j by k bits

EQV

([I=]i,[J=]j)

Logical equivalence. Use IOER(i,j) instead.

FCD

([I=]i,[J=]j)

Constructs a character pointer

GETPOS

([I=]i)

Obtains file position

IBCHNG

([I=]i, [POS=]j)

Generic function to change specified bit in a word.

ISHA

([I=]i, [SHIFT=]j)

Generic arithmetic shift

ISHC

([I=]i, [SHIFT=]j)

Generic circular shift

ISHL

([I=]i, [SHIFT=]j)

Generic left shift

LEADZ

([I=]i)

Counts number of leading 0 bits

LENGTH

([I=]i)

Returns the number of Cray words successfully transferred

LOC

([I=]i)

Returns the address of a variable (See )

NEQV

([I=]i,[J=]j)

Logical non-equivalence. Use IOER(i,j) instead.

POPCNT

([I=]i)

Counts number of bits set to 1

POPPAR

([I=]i)

Computes bit popluation parity

SHIFT

([I=]i,[J=]j)

Shift left circular. Use ISHFT(i,j) or ISHFTC(i,j,k) instead.

SHIFTA

([I=]i,[J=]j)

Arithmetic shift with sign extension.

SHIFTL

([I=]i,[J=]j)

Shift left with zero fill. Use ISHFT(i,j) or ISHFTC(i,j,k) instead.

SHIFTR

([I=]i,[J=]j)

Shift right with zero fill. Use ISHFT(i,j) or ISHFTC(i,j,k) instead.

TIMEF

()

Returns elapsed time since the first call

UNIT

([I=]i)

Returns status of BUFFERIN or BUFFEROUT

XOR

([I=]i,[J=]j)

Logical exclusive OR. Use IOER(i,j) instead.


See also Chapter 3 for a list of VMS Fortran 77 intrinsics.

2.2.4 Other Extensions

The Fortran 95 compiler recognizes the following additional intrinsic functions:

2.2.4.1 MPI_SIZEOF

MPI_SIZEOF( x, size, error)

Returns the size in bytes of the machine representation of the given variable, x. If x is an array, it returns the size of the base element and not the size of the whole array

x

input; variable or array of arbitrary type

size

output; integer; size in bytes of x

error

output; integer; set to an error code if an error detected, zero otherwise


2.2.4.2 Memory Functions

Memory allocation, reallocation, and deallocation functions malloc(), realloc(), and free() are implemented as f95 intrinsics. See for details.