Other Mathematical Functions
Table 6-4 Other Mathematical Functions|
Intrinsic Function |
Definition |
No. of Args. |
Generic Name |
Specific Names |
Argument Type |
Function Type |
|---|---|---|---|---|---|---|
|
Imaginary part of a complex number See Note (6). |
ai |
1 | IMAG | AIMAG DIMAG @ QIMAG @ | COMPLEX DOUBLE COMPLEX COMPLEX*32 | REAL DOUBLE REAL*16 |
|
Conjugate of a complex number See Note (6). |
(ar, -ai) |
1 | CONJG | CONJG DCONJG @ QCONJG @ | COMPLEX DOUBLE COMPLEX COMPLEX*32 | COMPLEX DOUBLE COMPLEX COMPLEX*32 |
|
Square root |
a**(1/2) |
1 | SQRT | SQRT DSQRT QSQRT @ CSQRT ZSQRT @ CDSQRT @ CQSQRT @ | REAL DOUBLE REAL*16 COMPLEX DOUBLE COMPLEX DOUBLE COMPLEX COMPLEX*32 | REAL DOUBLE REAL*16 COMPLEX DOUBLE COMPLEX DOUBLE COMPLEX COMPLEX*32 |
|
Cube root See Note(8'). |
a**(1/3) |
1 | CBRT | CBRT @ DCBRT @ QCBRT @ CCBRT @ ZCBRT @ CDCBRT @ CQCBRT @ | REAL DOUBLE REAL*16 COMPLEX DOUBLE COMPLEX DOUBLE COMPLEX COMPLEX*32 | REAL DOUBLE REAL*16 COMPLEX DOUBLE COMPLEX DOUBLE COMPLEX COMPLEX*32 |
|
Exponential |
e**a |
1 | EXP | EXP DEXP QEXP @ CEXP ZEXP @ CDEXP @ CQEXP @ | REAL DOUBLE REAL*16 COMPLEX DOUBLE COMPLEX DOUBLE COMPLEX COMPLEX*32 | REAL DOUBLE REAL*16 COMPLEX DOUBLE COMPLEX DOUBLE COMPLEX COMPLEX*32 |
|
Natural logarithm |
log(a) |
1 | LOG | ALOG DLOG QLOG @ CLOG ZLOG @ CDLOG @ CQLOG @ | REAL DOUBLE REAL*16 COMPLEX DOUBLE COMPLEX DOUBLE COMPLEX COMPLEX*32 | REAL DOUBLE REAL*16 COMPLEX DOUBLE COMPLEX DOUBLE COMPLEX COMPLEX*32 |
|
Common logarithm |
log10(a) |
1 | LOG10 | ALOG10 DLOG10 QLOG10 @ | REAL DOUBLE REAL*16 | REAL DOUBLE REAL*16 |
|
Error function (See note below) |
erf(a) |
1 | ERF | ERF @ DERF @ | REAL DOUBLE | REAL DOUBLE |
|
Error function |
1.0 - erf(a) |
1 | ERFC | ERFC @ DERFC @ | REAL DOUBLE | REAL DOUBLE |
-
The error function: 2/sqrt(pi)* integral from 0 to a of exp(-t*t) dt
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