
Section 10. Utilities
10.3.3.1.10 Mathematical Functions, Details, and Examples
TABLE 10.3-6. Split Operators and Math Functions
OPERATORS OPERATOR PRECEDENCE ORDER
(3 = high, 1 = low)
^ = raise to the power 3
x Mod y = Modulo divide of x by y 2
∗ / = multiplication, division 2
+ - = addition, subtraction 1
EXAMPLES OF SYNTAX FOR MATHEMATICAL OPERATORS
3∗5 multiply element 3 by element 5
3/5 divide element 3 by element 5
(3..5)/(8..10) same as 3/8, 4/9, 5/10
3+5 add element 3 to element 5
3-5 subtract element 5 from element 3
(3,9,5)-(8,7,10) same as 3-8, 9-7, 5-10
3∗2.0 multiply element 3 by a fixed number 2
2^3.0 raise element 2 to the third power
MATH FUNCTIONS
Abs(x) = Absolute value of x
Arctan(x) = Arc tangent of x (in degrees)
Cos(x) = Cosine of x (in degrees)
Exp(x) = Natural Exponent function (e
x
)
Frac(x) = Fractional portion of x
Int(x) = Integer portion of x
Ln(x) = Natural logarithm of x
Sin(x) = Sine of x (in degrees)
SpaAvg(x..y) = Spatial average of elements x through y
SpaMax(x..y) = Spatial maximum of elements x through y
SpaMin(x..y) = Spatial minimum of elements x through y
SpaSd(x..y) = Spatial standard deviation of elements x through y
Sqrt(x) = Square root of x
The following array of ASCII data will be used for all Mathematical function
examples.
0105 0176 1200 -07.89 55.10 12.45 270.5
Abs(x) returns the absolute, or positive value of element x.
Examples:
Abs(4) = 7.89
Abs(4∗5) = 434.74
Arctan(x) returns the arc tangent of element x in degrees.
Examples:
Arctan(7) = 89.788
Arctan(7/6) = 87.365
Cos(x) returns the cosine of element x in degrees.
Examples:
Cos(5) = .57215
Cos(5-6) = .73551
10-36
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