SAGA.grid_calculus.20: Grid Collection Calculator

The Grid Collection Calculator creates a new grid collection combining existing ones using the given formula. It is assumed that all input grid collections have the same number of grid layers. The variables in the formula begin with the letter 'g' followed by a position index, which corresponds to the order of the grid collections in the input grid collection list (i.e.: g1, g2, g3, ... correspond to the first, second, third, ... grid collection in list). Grid collections from other systems than the default one can be addressed likewise using the letter 'h' (h1, h2, h3, ...), which correspond to the 'Grid collections from different Systems' list.<br/><br/>Example: sin(g1) * g2 + 2 * h1<br/><br/>The following operators are available for the formula definition:<br/><table border="0"><tr><td><b>+</b></td><td>Addition</td></tr><tr><td><b>-</b></td><td>Subtraction</td></tr><tr><td><b>*</b></td><td>Multiplication</td></tr><tr><td><b>/</b></td><td>Division</td></tr><tr><td><b>abs(x)</b></td><td>Absolute Value</td></tr><tr><td><b>mod(x, y)</b></td><td>Returns the floating point remainder of x/y</td></tr><tr><td><b>int(x)</b></td><td>Returns the integer part of floating point value x</td></tr><tr><td><b>sqr(x)</b></td><td>Square</td></tr><tr><td><b>sqrt(x)</b></td><td>Square Root</td></tr><tr><td><b>exp(x)</b></td><td>Exponential</td></tr><tr><td><b>pow(x, y)</b></td><td>Returns x raised to the power of y</td></tr><tr><td><b>x ^ y</b></td><td>Returns x raised to the power of y</td></tr><tr><td><b>ln(x)</b></td><td>Natural Logarithm</td></tr><tr><td><b>log(x)</b></td><td>Base 10 Logarithm</td></tr><tr><td><b>pi()</b></td><td>Returns the value of Pi</td></tr><tr><td><b>sin(x)</b></td><td>Sine</td></tr><tr><td><b>cos(x)</b></td><td>Cosine</td></tr><tr><td><b>tan(x)</b></td><td>Tangent</td></tr><tr><td><b>asin(x)</b></td><td>Arcsine</td></tr><tr><td><b>acos(x)</b></td><td>Arccosine</td></tr><tr><td><b>atan(x)</b></td><td>Arctangent</td></tr><tr><td><b>atan2(x, y)</b></td><td>Arctangent of x/y</td></tr><tr><td><b>min(x, y)</b></td><td>Returns the minimum of values x and y</td></tr><tr><td><b>max(x, y)</b></td><td>Returns the maximum of values x and y</td></tr><tr><td><b>gt(x, y)</b></td><td>Returns true (1), if x is greater than y, else false (0)</td></tr><tr><td><b>x > y</b></td><td>Returns true (1), if x is greater than y, else false (0)</td></tr><tr><td><b>lt(x, y)</b></td><td>Returns true (1), if x is less than y, else false (0)</td></tr><tr><td><b>x < y</b></td><td>Returns true (1), if x is less than y, else false (0)</td></tr><tr><td><b>eq(x, y)</b></td><td>Returns true (1), if x equals y, else false (0)</td></tr><tr><td><b>x = y</b></td><td>Returns true (1), if x equals y, else false (0)</td></tr><tr><td><b>and(x, y)</b></td><td>Returns true (1), if both x and y are true (i.e. not 0)</td></tr><tr><td><b>or(x, y)</b></td><td>Returns true (1), if at least one of both x and y is true (i.e. not 0)</td></tr><tr><td><b>ifelse(c, x, y)</b></td><td>Returns x, if condition c is true (i.e. not 0), else y</td></tr><tr><td><b>rand_u(x, y)</b></td><td>Random number, uniform distribution with minimum x and maximum y</td></tr><tr><td><b>rand_g(x, y)</b></td><td>Random number, Gaussian distribution with mean x and standard deviation y</td></tr><tr><td><b>xpos(), ypos()</b></td><td>Get the x/y coordinates for the current cell</td></tr><tr><td><b>col(), row()</b></td><td>Get the current cell's column/row index</td></tr><tr><td><b>ncols(), nrows()</b></td><td>Get the number of columns/rows</td></tr><tr><td><b>nodata()</b></td><td>Returns resulting grid's no-data value</td></tr></table>

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