The following mathematical functions are supported in arithmetic
processing statements (ADD,
COMPUTE,
DIVIDE,
MULTIPLY,
SUBTRACT) and in
logical condition
criteria:
| Function | Format/Length | Explanation |
|---|---|---|
ABS(field)
|
same as field
|
Absolute value of
field.
|
ATN(field)
|
F8 (*) | Arc tangent of
field.
|
COS(field)
|
F8 (*) |
Cosine of field. |
EXP(field)
|
F8 (*) | Exponentiation of exponent field to base e , that is, efield, where e is Euler's number. |
FRAC(field)
|
same as field
|
Fractional part of
field.
|
INT(field)
|
same as field
|
Integer part of
field.
|
LOG(field)
|
F8 (*) | Natural logarithm of
field.
|
SGN(field)
|
same as field
|
Sign of field (-1, 0,
+1).
|
SIN(field)
|
F8 (*) |
Sine of |
SQRT(field)
|
F8 (*) |
Square root of A negative value in the argument field will be treated as positive. The maximum number of digits before the decimal point of the argument is 22. |
TAN(field)
|
F8 (*) |
Tangent of |
VAL(field)
|
same as target field |
Extract numeric value from an alphanumeric
If the target field is not long enough, decimal digits will be truncated (see also Field Truncation and Field Rounding in the section Rules for Arithmetic Assignment of the Programming Guide). |
* These functions are evaluated as follows:
The argument is converted to format/length F8 and then passed to the operating system for computation.
The result returned by the operating system has format/length F8, which is then converted to the target format.
A field to be used with a
mathematical function - except VAL - may be a constant or a
scalar; its format must be numeric (N), packed numeric (P), integer (I), or
floating point (F).
A field to be used with the
VAL function may be a constant, a scalar, or an array; its format
must be alphanumeric.
** Example 'MATHEX': Mathematical functions ************************************************************************ DEFINE DATA LOCAL 1 #A (N2.1) INIT <10> 1 #B (N2.1) INIT <-6.3> 1 #C (N2.1) INIT <0> 1 #LOGA (N2.6) 1 #SQRTA (N2.6) 1 #TANA (N2.6) 1 #ABS (N2.1) 1 #FRAC (N2.1) 1 #INT (N2.1) 1 #SGN (N1) END-DEFINE * COMPUTE #LOGA = LOG(#A) WRITE NOTITLE '=' #A 5X 'LOG' 40T #LOGA * COMPUTE #SQRTA = SQRT(#A) WRITE '=' #A 5X 'SQUARE ROOT' 40T #SQRTA * COMPUTE #TANA = TAN(#A) WRITE '=' #A 5X 'TANGENT' 40T #TANA * COMPUTE #ABS = ABS(#B) WRITE // '=' #B 5X 'ABSOLUTE' 40T #ABS * COMPUTE #FRAC = FRAC(#B) WRITE '=' #B 5X 'FRACTIONAL' 40T #FRAC * COMPUTE #INT = INT(#B) WRITE '=' #B 5X 'INTEGER' 40T #INT * COMPUTE #SGN = SGN(#A) WRITE // '=' #A 5X 'SIGN' 40T #SGN * COMPUTE #SGN = SGN(#B) WRITE '=' #B 5X 'SIGN' 40T #SGN * COMPUTE #SGN = SGN(#C) WRITE '=' #C 5X 'SIGN' 40T #SGN * END
Output of program MATHEX:
#A: 10.0 LOG 2.302585
#A: 10.0 SQUARE ROOT 3.162277
#A: 10.0 TANGENT 0.648360
#B: -6.3 ABSOLUTE 6.3
#B: -6.3 FRACTIONAL -0.3
#B: -6.3 INTEGER -6.0
#A: 10.0 SIGN 1
#B: -6.3 SIGN -1
#C: 0.0 SIGN 0