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arith_exp - Arithmetic Expressions 
Short Reference
Syntax
... [+|-] operand1
[{+|-|*|/|DIV|MOD|**} [+|-] operand2
[{+|-|*|/|DIV|MOD|**} [+|-] operand3
... ]] ... .
Effect
An arithmetic expression expresses a calculation. The result of an arithmetic expression is a numeric value of the
calculation type assigned to the arithmetic expression. In an arithmetic expression arith_exp, the
arithmetic operators +,
-, *, /, DIV,
MOD, or ** can be used to join an operand operand1 with one or more operands operand2, operand3 ...
Brackets are also possible. Arithmetic expressions can occur in the reader positions of
certain statements, in particular on the right side of an
assignment with the
assignment operator =. When used as the operand of the lossless operator EXACT, an arithmetic expression can be checked for a
lossless calculation.
The operand positions operand are
general expression positions, which means that numeric data objects,
predefined functions,
functional methods, or compound arithmetic expressions can be specified. The arithmetic operators
+, -, *, /,
DIV, MOD, and ** join
two adjacent operands. When the expression is evaluated, a numeric value is calculated and joined with the next adjacent operand. The priority of this join depends on the
operators used.
Each operand can be preceded by the signs + or -,
in any order and separated by one or more blanks. The effect of using a sign is the same as specifying the expression +1
* or -1 *, which means that a sign has the same priority as a multiplication.
If functional methods or
character-like expressions
are specified as operands, they are listed from left to right and from inside to outside before the remainder of the expression is evaluated. The return values are buffered to be used in the corresponding operand positions. Here,
character-like processing functions and
string expressions are only possible as arguments of description functions.
Notes
-
Note whether the value of a data object that is also used as an operand is changed in a specified functional
method. Even if an operand of this type precedes the functional method, its value will always be changed by the method before it is evaluated.
-
Arithmetic expressions, string expressions, and
bit expressions cannot
be combined. Predefined functions that are used as operands for arithmetic expressions can, however, contain string expressions or bit expressions as arguments.
-
If an arithmetic expression is specified as an argument of one of the overloaded
numeric functions, the entire function works like an arithmetic expression.
Example
The following program excerpt computes the hyperbolic sine with the Eulerian formula in calculation type decfloat34 and with the
predefined function sinh in calculation type f and displays the difference.
TYPES:
BEGIN OF line,
x TYPE string,
y TYPE string,
END OF line.
DATA
output TYPE TABLE OF line WITH EMPTY KEY.
DO 2001 TIMES.
TRY.
DATA(x) = sy-index - 1001.
DATA(result1) = CONV decfloat16(
( exp( x ) - exp( -1 * x ) ) / 2 ).
DATA(result2) = CONV f( sinh( x ) ).
DATA(diff) = abs( result1 - result2 ).
IF diff <> 0.
APPEND VALUE #( x = |{ x }|
y = |{ diff STYLE = SCIENTIFIC }| ) TO output.
ENDIF.
CATCH cx_sy_conversion_overflow cx_sy_arithmetic_overflow.
ENDTRY.
ENDDO.
cl_demo_output=>display( output ).
Exceptions
Catchable Exceptions
CX_SY_ARG_OUT_OF_DOMAIN
-
Cause: Illegal argument in powers
Runtime Error: COMPUTE_POW_DOMAIN
CX_SY_ARITHMETIC_OVERFLOW
-
Cause: Overflow in arithmetic operation (type p)
Runtime Error: BCD_OVERFLOW
-
Cause: Overflow in arithmetic operation (all operands type p)
Runtime Error: COMPUTE_BCD_OVERFLOW
-
Cause: Overflow in cosh
Runtime Error: COMPUTE_COSH_OVERFLOW
-
Cause: Overflow or underflow in exp
Runtime Error: COMPUTE_EXP_RANGE
-
Cause: Overflow in addition (type decfloat)
Runtime Error: COMPUTE_DECFLOAT_ADD_OVERFLOW
-
Cause: Overflow in subtraction (type decfloat)
Runtime Error: COMPUTE_DECFLOAT_SUB_OVERFLOW
-
Cause: Overflow in multiplication (type decfloat)
Runtime Error: COMPUTE_DECFLOAT_MUL_OVERFLOW
-
Cause: Overflow in division (type decfloat)
Runtime Error: COMPUTE_DECFLOAT_DIV_OVERFLOW
-
Cause: Overflow in division (type decfloat)
Runtime Error: COMPUTE_DECFLOAT_DIV_OVERFLOW
-
Cause: Overflow in division (type f)
Runtime Error: COMPUTE_FLOAT_DIV_OVERFLOW
-
Cause: Overflow in subtraction (type f)
Runtime Error: COMPUTE_FLOAT_MINUS_OVERFLOW
-
Cause: Overflow in addition (type f)
Runtime Error: COMPUTE_FLOAT_PLUS_OVERFLOW
-
Cause: Overflow in multiplication (type f)
Runtime Error: COMPUTE_FLOAT_TIMES_OVERFLOW
-
Cause: Overflow in |-2147483648|
Runtime Error: COMPUTE_INT_ABS_OVERFLOW
-
Cause: Integer overflow in division
Runtime Error: COMPUTE_INT_DIV_OVERFLOW
-
Cause: Integer overflow after subtraction
Runtime Error: COMPUTE_INT_MINUS_OVERFLOW
-
Cause: Integer overflow while adding
Runtime Error: COMPUTE_INT_PLUS_OVERFLOW
-
Cause: Integer overflow in multiplication
Runtime Error: COMPUTE_INT_TIMES_OVERFLOW
-
Cause: Invalid call of log10
Runtime Error: COMPUTE_LOG10_ERROR
-
Cause: Invalid call of log
Runtime Error: COMPUTE_LOG_ERROR
-
Cause: Overflow or underflow in powers
Runtime Error: COMPUTE_POW_RANGE
-
Cause: Overflow in sinh
Runtime Error: COMPUTE_SINH_OVERFLOW
-
Cause: Overflow in function round or rescale
Runtime Error: COMPUTE_ROUND_RESCALE_OVERFLOW
CX_SY_CONVERSION_NO_NUMBER
-
Cause: Operand cannot be interpreted as a number
Runtime Error: CONVT_NO_NUMBER
CX_SY_CONVERSION_OVERFLOW
-
Cause: Overflow in arithmetic operation (type p, with specified length)
Runtime Error: BCD_FIELD_OVERFLOW
-
Cause: Operand too big or (interim) result too big
Runtime Error: CONVT_OVERFLOW
CX_SY_PRECISION_LOSS
-
Cause: Result of cos not exact
Runtime Error: COMPUTE_COS_LOSS
-
Cause: Result of sin not exact
Runtime Error: COMPUTE_SIN_LOSS
-
Cause: Result of tan not exact
Runtime Error: COMPUTE_TAN_LOSS
CX_SY_UNSUPPORTED_FUNCTION
-
Cause: Invalid function for calculation type decfloat34
Runtime Error: COMPUTE_UNSUPPORTED_DECF_FUNC
CX_SY_ZERODIVIDE
-
Cause: Division by 0 (type p)
Runtime Error: BCD_ZERODIVIDE
-
Cause: Division by 0 (type f)
Runtime Error: COMPUTE_FLOAT_ZERODIVIDE
-
Cause: Division by 0 (types (b, s), i)
Runtime Error: COMPUTE_INT_ZERODIVIDE
-
Cause: Division by 0 (type decfloat)
Runtime Error: COMPUTE_DECFLOAT_ZERODIVIDE
Non-Catchable Exceptions
-
Cause: p field does not contain the correct BCD format
Runtime Error: BCD_BADDATA
-
Cause: p field does not contain a correct sign
Runtime Error: BCD_NO_SIGN
Continue
arith_exp - Arithmetic Operators
arith_exp - ( )
arith_exp - Calculation Type
arith_exp - Lossless Calculations