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List of mathematical operators and functions which can be used in the Smart Altitude WebGIS calculation tool.

Note: remember to always put a space character between operators and operands. While some operators work without extra space characters, others might not.

====== Mathematical Operators ======

^Operator^Description^Example^Value|
|+|addition|2 + 3|5|
|-|subtraction|2 - 3|-1|
|*|multiplication|2 * 3|6|
|/|division (integer division - truncates the result) - 0 as argument not allowed|5 / 2|2|
|%|modulo (remainder of division) - 0 as argument not allowed|5 % 2|1|
|/\|exponentiation (associates left to right)|2 /\ 3|8|
|I/|square root - negative argument not allowed|/ 25|5|
|II/|cube root - negative argument not allowed|/ 27|3|
|@|absolute value|@ -2.42|2.42|

====== Mathematical Functions ======

^Function^Description^Example^Result|
|abs(x)|absolute value, same as operator @|abs(-2.42)|2.42|
|cbrt(x)|cube root|cbrt(27.0)|3|
|ceil(x)|nearest integer greater than or equal to argument|ceil(-42.8)|-42|
|degrees(x)|radians to degrees|degrees(0.5)|28.64…|
|div(y, x)|integer quotient of y/x|div(9, 4)|2|
|exp(x)|exponential|exp(1.0)|2.718…|
|floor(x)|nearest integer less than or equal to argument|floor(-42.8)|-43|
|ln(x)|natural logarithm - 0 as argument not allowed|ln(2.0)|0.693…|
|log(x)|base 10 logarithm - 0 as argument not allowed|log(100.0)|2|
|log(b, x)|logarithm to base b|log(2.0, 64.0)|6|
|mod(x, y)|remainder of y/x|mod(9, 4)|1|
|pi()|pi constant|pi()|3.141…|
|power(x, y)|x raised to the power of y|power(9, 2)|729|
|radians(x)|degrees to radians|radians(45.0)|0.785…|
|round(x)|round to nearest integer|round(42.4)|42|
|round(x, y)|round to y decimal places|round(32.36, 1)|32.4|
|sign(x)|sign of the argument (-1, 0, +1)|sign(-4.1)|-1|
|sqrt(x)|square root, same as operator I\ - negative argument not allowed|sqrt(2.0)|1.414…|
|trunc(x)|truncate toward zero|trunc(42.8)|42|
|trunc(x, y)|truncate to y decimal places|trunc(42.43, 1)|42.4|

====== Raster Zonal Statistics ======

//Note: These functions operate on raster layers only. They calculate zonal statistics for Alpine Space LAU units. //

^Function^Description|
|min()|minimum pixel value per LAU unit|
|max()|maximum pixel value per LAU unit|
|count()|number of pixels per LAU unit|
|sum()|sum of pixel values per LAU unit|
|avg()|average for pixel values per LAU unit|
|med()|median for pixel values per LAU unit|

====== Random Functions ======

^Function^Description|
|random()|random value in the range 0.0 <= x < 1.0|

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