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EVAL_FORMULA - Analysis of a syntactically correct formula

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Functionality

The function module EVAL_FORMULA evaluates Literal or Variable formulas. It accepts:

• arithmetic formulas (with floating point result of type FLOAT)

• logical formulas (with result TRUE or FALSE)

• conditions of the form IF THEN

,,ELSE

• expressions with fields of structure SY

Example:

FORMEL = COS(A**2+B**2)

FORMEL = IF X>0 THEN SIN(X) ELSE SIN(-X)

FORMEL = SY-TZONE / 2.324

Functions

The FM supports the following functions:

ABS	absolute value
NOT	negation
SIN	sine function
COS	cosine function
TAN	tangent function
LOG	logarithm to base e (natural logarithm)
EXP	exponential function to base e
SQRT	square root function
ROUND	round to a whole number
TRUNC	truncate, the whole number part of a real number
MOD	modulus function
DIV	whole number part of a division

Operators

The operators are classified into 6 priority groups. Group 0 has the lowest priority, group 6 the highest.

The operators are:

group 0:

AND	logical AND
OR	logical OR

group 1:

=	equals
&lt;&gt;, ><	not equal to
<	less than
>	greater than
<=, =<	less than or equal to
>	greater than
=>, >=	greater than or equal to

group 2:

+	positive value (of an expression)
-	negative value (of an expression)
+	addition
-	subtraction

group 3:

*	multiplication
/	division

group 4:

**	exponential

group 5:

ABS	absolute value
NOT	negation (of a logical expression)

group 6:

all other functions.

User-defined formulas

The FM also evaluates user-defined functions, which are defined in a table.

Parameters

DEGREES
FORMULA
NO_EXISTENCE_CHECK
PROGRAM
ROUTINE
UNIT_OF_MEASURE
VALUE

Exceptions

DIVISION_BY_ZERO
EXP_ERROR
FORMULA_TABLE_NOT_VALID
INVALID_EXPRESSION
INVALID_VALUE
LOG_ERROR
MISSING_PARAMETER
PARAMETER_ERROR
SQRT_ERROR
UNITS_NOT_VALID

Function Group

CALC

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