This appendix summarizes the intrinsic functions that can be called from a Fortran program. Each function is also listed on a reference page; for example, AINT is listed on the aint(3f) reference page.
In addition to the standard intrinsic functions discussed here, MIPSpro Fortran 77 also supports extended intrinsic subroutines and a few extended intrinsic functions. See the MIPSpro Fortran 77 Programmer's Guide for documentation about these extended features.
This appendix discusses the following topics:
generic and specific names, in “Generic and Specific Names”
conventions and restrictions, in “Operational Conventions and Restrictions”
functions, in “Table of Functions”
A generic name is the name given to a class of objects. Intrinsic functions that perform the same mathematical function, such as square root, are given a single name. For example, the generic name of the square root function is SQRT; this function has six specific names for different data types: SQRT, DSQRT, QSQRT, CSQRT, ZSQRT, and CQSQRT (see Table A-1). However, you can use the generic name SQRT regardless of the data type of the arguments.
An intrinsic function preceded by the letters CD is equivalent to the generic function with the same base name, except that the arguments must be of type DOUBLE COMPLEX.
Intrinsic functions starting with II are equivalent to generic functions with the same base name, except that the arguments must of type INTEGER*2. Similarly, arguments to intrinsic functions starting with JI must be type INTEGER*4: for example, IIAND, IIQINT, IIQNNT, JIQINT, JIQNNT.
A function reference can be used as a primary in an expression. The following example involves referencing an intrinsic function:
X = SQRT(B**2-4*A*C) |
The result of a function becomes undefined when its arguments are not mathematically defined or exceed the numeric range of the processor.
For most intrinsic functions, the data type of the result of the intrinsic function is the same as the arguments. If two or more arguments are required or permitted, then all arguments must be of the same type. An IMPLICIT statement does not change the data type of a specific or generic name of an intrinsic function.
If an intrinsic function name is used as an actual argument in an external procedure reference, the name must be one of the specific names and must appear in an INTRINSIC statement. However, names of intrinsic functions for type conversion, for lexical relationship, and for choosing the smallest or largest value cannot be used as actual arguments.
Table A-1 lists the available intrinsic functions. Operational conventions and restrictions (other than those already given) are listed at the end of the table.
Table A-1. Intrinsic Functions
Function | Number of Arguments | Generic Name | Specific Name | Type of Argument | Type of Result |
|---|---|---|---|---|---|
Conversion to INTEGER | 1 | INTa | -- -- -- -- -- -- -- -- IINT JINT KINT IIDINT JIDINT KIDINT | INTEGER*1 INTEGER*1 INTEGER*1 INTEGER*2 INTEGER*2 INTEGER*4 INTEGER*4 INTEGER*8 REAL*4 REAL*4 REAL*4 REAL*8 REAL*8 REAL*8 | INTEGER*2 INTEGER*4 INTEGER*8 INTEGER*4 INTEGER*8 INTEGER*4 INTEGER*8 INTEGER*8 INTEGER*2 INTEGER*4 INTEGER*8 INTEGER*2 INTEGER*4 INTEGER*8 |
|
|
| IIQINT JIQINT | REAL*16 REAL*16 | INTEGER*2 INTEGER*4 |
|
|
| -- -- -- -- -- -- -- -- -- | COMPLEX*8 COMPLEX*8 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*16 COMPLEX*32 COMPLEX*32 COMPLEX*32 | INTEGER*2 INTEGER*4 INTEGER*8 INTEGER*2 INTEGER*4 INTEGER*8 INTEGER*2 INTEGER*4 INTEGER*8 |
| 1 | SHORT | -- -- -- -- -- -- -- -- -- | INTEGER*1 INTEGER*2 INTEGER*4 REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*32 | INTEGER*2 INTEGER*2 INTEGER*2 INTEGER*2 INTEGER*2 INTEGER*2 INTEGER*2 INTEGER*2 INTEGER*2 |
| 1 | LONG | -- -- -- -- -- -- -- -- -- | INTEGER*1 INTEGER*2 INTEGER*4 REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*32 | INTEGER*4 INTEGER*4 INTEGER*4 INTEGER*4 INTEGER*4 INTEGER*4 INTEGER*4 INTEGER*4 INTEGER*4 |
| 1 | IFIX | IIFIX JIFIX KIFIX | REAL*4 REAL*4 REAL*4 | INTEGER*2 INTEGER*4 INTEGER*8 |
| 1 | IDINT | IIDINT JIDINT KIDINT | REAL*8 REAL*8 REAL*8 | INTEGER*2 INTEGER*4 INTEGER*8 |
| 1 | IQINT | IIQINT JIQINT | REAL*16 REAL*16 | INTEGER*2 INTEGER*4 |
Truncation | 1 | AINT | AINT DINT QINT | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Conversion to REAL | 1 | REAL | -- FLOATI FLOATJ FLOATK -- SNGL SNGLQ -- -- -- | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*32 | REAL*4 REAL*4 REAL*4 REAL*4 REAL*4 REAL*4 REAL*4 REAL*4 REAL*4 REAL*4 |
| 1 | FLOAT | -- FLOATI FLOATJ FLOATK | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | REAL*4 REAL*4 REAL*4 REAL*4 |
| 1 | SNGL | -- FLOATI FLOATJ FLOATK REAL -- SNGLQ | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 | REAL*4 REAL*4 REAL*4 REAL*4 REAL*4 REAL*4 REAL*4 |
Conversion to DOUBLE PRECISION | 1 | DBLE | -- -- -- -- DBLE -- DBLEQ | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 | REAL*8 REAL*8 REAL*8 REAL*8 REAL*8 REAL*8 REAL*8 |
|
|
| -- -- -- | COMPLEX*8 COMPLEX*16 COMPLEX*32 | REAL*8 REAL*8 REAL*8 |
| 1 | DFLOAT | -- DFLOTI DFLOTJ DFLOTK DFLOATK | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 INTEGER*8 | REAL*8 REAL*8 REAL*8 REAL*8 REAL*8 |
Conversion to REAL*16 | 1 | QEXT
| -- -- -- QEXT QEXTD -- -- -- -- | INTEGER*1 INTEGER*2 INTEGER*4 REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*32 | REAL*16 REAL*16 REAL*16 REAL*16 REAL*16 REAL*16 REAL*16 REAL*16 REAL*16 |
Integer-to- REAL*16 conversion | 1 | QFLOAT | -- -- -- | INTEGER*2 INTEGER*4 INTEGER*8 | REAL*16 REAL*16 REAL*16 |
Conversion to COMPLEX | 1 or 2 1 or 2 1 or 2 1 or 2 1 or 2 1 or 2 1 or 2 1 1 1 | CMPLX | -- -- -- -- -- -- -- -- -- -- | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*32 | COMPLEX*8 COMPLEX*8 COMPLEX*8 COMPLEX*8 COMPLEX*8 COMPLEX*8 COMPLEX*8 COMPLEX*8 COMPLEX*8 COMPLEX*8 |
Complex conjugate | 1 | CONJG | CONJG DCONJG QCONJG | COMPLEX*8 COMPLEX*16 COMPLEX*32 | COMPLEX*8 COMPLEX*16 COMPLEX*32 |
Conversion to double COMPLEX | 1 or 2 1 or 2 1 or 2 1 or 2 1 or 2 1 or 2 1 or 2 1 1 1 | DCMPLX | -- -- -- -- -- -- -- -- -- -- | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*32 | COMPLEX*16 COMPLEX*16 COMPLEX*16 COMPLEX*16 COMPLEX*16 COMPLEX*16 COMPLEX*16 COMPLEX*16 COMPLEX*16 COMPLEX*16 |
Conversion to quad COMPLEX | 1 or 2 1 or 2 1 or 2 1 or 2 1 or 2 1 or 2 1 or 2 1 1 1 | QCMPLX | -- -- -- -- -- -- -- -- -- -- | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*32 | COMPLEX*32 COMPLEX*32 COMPLEX*32 COMPLEX*32 COMPLEX*32 COMPLEX*32 COMPLEX*32 COMPLEX*32 COMPLEX*32 COMPLEX*32 |
Conversion to character | 1 | CHAR | -- -- -- -- -- | LOGICAL*1 INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | CHARACTER CHARACTER CHARACTER CHARACTER CHARACTER |
Maximum value | 2 or more | MAX | -- IMAX0 JMAX0 KMAX0 AMAX1 DMAX1 QMAX1 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 |
|
| MAX0 | -- IMAX0 JMAX0 KMAX0 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
|
| MAX1 | IMAX1 JMAX1 KMAX1 | REAL*4 REAL*4 REAL*4 | INTEGER*2 INTEGER*4 INTEGER*8 |
|
| AMAX0 | -- AIMAX0 AJMAX0 AKMAX0 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | REAL*4 REAL*4 REAL*4 REAL*4 |
Minimum value | 2 or more | MIN | -- IMIN0 JMIN0 KMIN0 AMIN1 DMIN1 QMIN1 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 |
|
| MIN0 | -- IMIN0 JMIN0 KMIN0 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
|
| MIN1 | IMIN1 JMIN1 KMIN1 | REAL*4 REAL*4 REAL*4 | INTEGER*2 INTEGER*4 INTEGER*8 |
|
| AMIN0 | -- AIMIN0 AJMIN0 AKMIN0 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | REAL*4 REAL*4 REAL*4 REAL*4 |
Nearest integer | 1 | NINTb | ININT JNINT KNINT IIDNNT JIDNNT KIDNNT IIQNNT JIQNNT KIQNNT | REAL*4 REAL*4 REAL*4 REAL*8 REAL*8 REAL*8 REAL*16 REAL*16 REAL*16 | INTEGER*2 INTEGER*4 INTEGER*8 INTEGER*2 INTEGER*4 INTEGER*8 INTEGER*2 INTEGER*4 INTEGER*8 |
|
| ANINT | ANINT DNINT QNINT | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
|
| IDNINT | IIDNNT JIDNNT KIDNNT | REAL*8 REAL*8 REAL*8 | INTEGER*2 INTEGER*4 INTEGER*8 |
|
| IQNINT | IIQNNT JIQNNT KIQNNT | REAL*16 REAL*16 REAL*16 | INTEGER*2 INTEGER*4 INTEGER*8 |
Zero-Extend functions | 1 | ZEXT | IZEXT -- -- -- JZEXT -- -- -- -- -- KZEXT -- -- -- -- -- -- -- | LOGICAL*1 LOGICAL*2 INTEGER*1 INTEGER*2 LOGICAL*1 LOGICAL*2 LOGICAL*4 INTEGER*1 INTEGER*2 INTEGER*4 LOGICAL*1 LOGICAL*2 LOGICAL*4 LOGICAL*8 INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*2 INTEGER*2 INTEGER*2 INTEGER*2 INTEGER*4 INTEGER*4 INTEGER*4 INTEGER*4 INTEGER*4 INTEGER*4 INTEGER*8 INTEGER*8 INTEGER*8 INTEGER*8 INTEGER*8 INTEGER*8 INTEGER*8 INTEGER*8 |
Absolute value | 1 | ABS | -- IIABS JIABS KIABS ABS DABS QABS CABS CDABS ZABS CQABS | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*32 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*32 |
| 1 | IABSc | -- IIABS JIABS KIABS | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
Remaindering | 2 | MODd | -- IMOD JMOD KMOD AMOD DMOD QMOD | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 |
Transfer of sign | 2 | SIGN | -- IISIGN JISIGN KISIGN SIGN DSIGN QSIGN | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 |
| 2 | ISIGNe | -- IISIGN JISIGN KISIGN | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
Positive difference | 2 | DIM | -- IIDIM JIDIM KIDIM DIM DDIM QDIM | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 REAL*4 REAL*8 REAL*16 |
| 2 | IDIM | -- IIDIM JIDIM KIDIM | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
DOUBLE PRECISION product of REALs | 2 |
| DPROD | REAL*4 | REAL*8 |
REAL*16 product of two REAL*8 | 2 |
| QPROD | REAL*8 | REAL*16 |
Length of character entry | 1 |
| LEN | CHARACTER | INTEGER*4 |
Index of a substring | 2 |
| INDEXf | CHARACTER | INTEGER*4 |
Character (ASCII value of 1-byte character argument) | 1 | ICHAR
| -- -- -- | CHARACTER CHARACTER CHARACTER | INTEGER*2 INTEGER*4 INTEGER*8 |
Logically greater than or equal | 2 |
| LGE | CHARACTER | LOGICAL*4 |
Logically greater than | 2 |
| LGT | CHARACTER | LOGICAL*4 |
Logically less than or equal | 2 |
| LLE | CHARACTER | LOGICAL*4 |
Logically less than | 2 |
| LLTg | CHARACTER | LOGICAL*4 |
Imaginary part of complex number | 1 | IMAG | AIMAG DIMAG QIMAG | COMPLEX*8 COMPLEX*16 COMPLEX*32 | REAL*4 REAL*8 REAL*16 |
Real part of complex number | 1 | REAL | REAL DREAL QREAL | COMPLEX*8 COMPLEX*16 COMPLEX*32 | REAL*4 REAL*8 REAL*16 |
Square root | 1 | SQRT | SQRTh DSQRT QSQRT CSQRT CDSQRT ZSQRT CQSQRT | REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*32 | REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*32 |
Exponential | 1 | EXP | EXP DEXP QEXP CEXP CDEXP ZEXP CQEXP | REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*32 | REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*32 |
Natural logarithm | 1 | LOG | ALOGi DLOG QLOG CLOG CDLOG ZLOG CQLOG | REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*32 | REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*32 |
Common logarithm | 1 | LOG10 | ALOG10 DLOG10 QLOG10 | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Sine | 1 | SIN | SIN DSIN QSIN CSIN CDSIN ZSIN CQSIN | REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*32 | REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*32 |
Sine (degree) | 1 | SINDj | SIND DSIND QSIND | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Cosine | 1 | COS | COS DCOS QCOS CCOS CDCOS ZCOS CQCOS | REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*32 | REAL*4 REAL*8 REAL*16 COMPLEX*8 COMPLEX*16 COMPLEX*16 COMPLEX*32 |
Cosine (degree) | 1 | COSD | COSD DCOSD QCOSD | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Tangent | 1 | TAN | TAN DTAN QTAN | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Tangent (degree) | 1 | TAND | TAND DTAND QTAND | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Arcsine | 1 | ASINk,l,m | ASIN DASIN QASIN | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Arcsine (degree) | 1 | ASINDn | ASIND DASIND QASIND | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Arccosine | 1 | ACOS | ACOS DACOS QACOS | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Arccocsine (degree) | 1 | ACOSD | ACOSD DACOSD QACOSD | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Arctangent | 1 | ATANo | ATAN DATAN QATAN | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Arctangent (degree) | 1 | ATANDp | ATAND DATAND QATAND | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Arctangent | 2 | ATAN2q,r | ATAN2 DATAN2 QATAN2 | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Arctangent (degree) | 2 | ATAN2D | ATAN2D DATAN2D QATAN2D | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Hyperbolic sine | 1 | SINH | SINH DSINH QSINH | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Hyperbolic cosine | 1 | COSH | COSH DCOSH QCOSH | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Hyperbolic tangent | 1 | TANH | TANH DTANH QTANH | REAL*4 REAL*8 REAL*16 | REAL*4 REAL*8 REAL*16 |
Bitwise AND | 2 | IAND | -- IIAND JIAND KIAND | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
Bitwise inclusive OR | 2 | IOR | -- IIOR JIOR KIOR | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
Bitwise complement | 1 | NOT | -- INOT JNOT KNOT | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
Bitwise exclusive OR | 2 | IEOR | -- IIEOR JIEOR KIEOR | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
Bitwise logical shift | 2 | ISHFT | -- IISHFT JISHFT KISHFT | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
Bitwise circular shift | 2 | ISHFTC | -- IISHFTC JISHFTC KISHFTC | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
Bit extraction | 3 | IBITS | -- IIBITS JIBITS KIBITS | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
Bit set | 2 | IBSET | -- IIBSET JIBSET KIBSET | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
Bit test | 2 | BTEST | -- BITEST BJTEST BKTEST | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | LOGICAL*4 LOGICAL*2 LOGICAL*4 LOGICAL*8 |
Bit clear | 2 | IBCLR | -- IIBCLR JIBCLR KIBCLR | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 | INTEGER*1 INTEGER*2 INTEGER*4 INTEGER*8 |
The following notes apply to this table:
a INT, IFIX, IDINT and IQINT return the default INTEGER precision, which can then be assigned to any integer type.
b When NINT or IDNINT is specified as an argument in a subroutine call or function reference, the compiler supplies either an INTEGER*2 or an INTEGER*4 function depending on the -i2 command line option. See the MIPSpro Fortran 77 Programmer's Guide for details.
c The IABS, ISIGN, IDIM, and integer MOD intrinsics accept either INTEGER*2 arguments or INTEGER*4 arguments, and the result is the same type.
d The result for MOD, AMOD, and DMOD is undefined when the value of the second argument is zero.
e If the value of the first argument of ISIGN, SIGN, or DSIGN is zero, the result is zero.
f The result of INDEX is an integer value indicating the position in the first argument of the first substring which is identical to the second argument. The result of INDEX('ABCDEF', 'CD'), for example, would be 3. If no substring of the first argument matches the second argument, the result is zero. INDEX and ICHAR return the result type INTEGER*2 if the -i2 compile option is in effect; otherwise, the result type is INTEGER*4.
g The character relational intrinsics (LLT, LGT, LEE, and LGE) return result type LOGICAL*2 if the $log2 compile option is in effect; otherwise, the result type is LOGICAL*4.
h The value of the argument of SQRT and DSQRT must be greater than or equal to zero. The result of CSQRT is the principal value with the real part greater than or equal to zero. When the real part is zero, the imaginary part is greater than or equal to zero.
i The argument of ALOG and DLOG must be greater than zero. The argument of CLOG must not be (0.,0.). The range of the imaginary part of the result of CLOG is: -p <imaginary part <p.
j The argument for SIND, COSD, or TAND must be in degrees and is treated as modulo 360.
k The absolute value of the arguments of ASIN, DASIN, ASIND, DASIND, ACOS, DACOS, ACOSD, and DACSOD must be less than or equal to 1.
l The range of the result for ASIN and DASIN is -π/2 <result < π/2; the range of the result for DASIN is 0 < result <π ; and the range of the result of acos and dacos is less than or equal to one.
m The result of ASIN, DASIN, ACOS, and DACOS is in radians.
n The result of ASIND, DASIND, ACOS, DACOSD is in degrees.
o The result of ATAN, DATAN, ATAN2, and DTAN2 is in radians.
p The result of ATAND, DATAND, ATAN2D, and DATAN2D is in degrees.
q If the value of the first argument of ATAN2 or DATAN2 is positive, the result is positive. When the value of the first argument is zero, the result is zero if the second argumemt is positive and P if the second argument is negative. If the value of the first argument is negative, the result is negative. If the value of the second argument is zero, the aboslute value of the result is P/2. Both arguments must not have the value zero.
r Note 3 on this page also applies to ATAN2 and DTAN2D, except for the range of the result, which is: -180 degrees << result << 180 degrees.