3.1.4 Other Mathematical Functions
Table 3–4 Other Fortran 77 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 |
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The error function: 2/sqrt(pi) x integral from 0 to a of exp(-t*t) dt
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