Generate a grid based on a functional expression. The function interpreter uses an formula expression parser that offers the following operators:
| + | Addition |
| - | Subtraction |
| * | Multiplication |
| / | Division |
| abs(x) | Absolute Value |
| mod(x, y) | Returns the floating point remainder of x/y |
| int(x) | Returns the integer part of floating point value x |
| sqr(x) | Square |
| sqrt(x) | Square Root |
| exp(x) | Exponential |
| pow(x, y) | Returns x raised to the power of y |
| x ^ y | Returns x raised to the power of y |
| ln(x) | Natural Logarithm |
| log(x) | Base 10 Logarithm |
| pi() | Returns the value of Pi |
| sin(x) | Sine, expects radians |
| cos(x) | Cosine, expects radians |
| tan(x) | Tangent, expects radians |
| asin(x) | Arcsine, returns radians |
| acos(x) | Arccosine, returns radians |
| atan(x) | Arctangent, returns radians |
| atan2(x, y) | Arctangent of x/y, returns radians |
| min(x, y) | Returns the minimum of values x and y |
| max(x, y) | Returns the maximum of values x and y |
| gt(x, y) | Returns true (1), if x is greater than y, else false (0) |
| x > y | Returns true (1), if x is greater than y, else false (0) |
| lt(x, y) | Returns true (1), if x is less than y, else false (0) |
| x < y | Returns true (1), if x is less than y, else false (0) |
| eq(x, y) | Returns true (1), if x equals y, else false (0) |
| x = y | Returns true (1), if x equals y, else false (0) |
| and(x, y) | Returns true (1), if both x and y are true (i.e. not 0) |
| or(x, y) | Returns true (1), if at least one of both x and y is true (i.e. not 0) |
| ifelse(c, x, y) | Returns x, if condition c is true (i.e. not 0), else y |
| rand_u(x, y) | Random number, uniform distribution with minimum x and maximum y |
| rand_g(x, y) | Random number, Gaussian distribution with mean x and standard deviation y |
| | Name | Type | Identifier | Description | Constraints |
|---|
| Input | Target System | grid, input, optional
[CMD] | TARGET_TEMPLATE | use this grid's system for output grids | - |
| Output | Function | grid, output | FUNCTION | - | - |
| Options | Formula | text | FORMULA | - | Default: sin(x*x + y*y) |
| X Range | value range | X_RANGE | - | - |
| Y Range | value range | Y_RANGE | - | - |
| Target Grid System | choice | TARGET_DEFINITION | - | Available Choices:
[0] user defined
[1] grid or grid system
Default: 0 |
| Cellsize | floating point number | TARGET_USER_SIZE | - | Minimum: 0.000000
Default: 1.000000 |
| West | floating point number | TARGET_USER_XMIN | - | Default: 0.000000 |
| East | floating point number | TARGET_USER_XMAX | - | Default: 100.000000 |
| South | floating point number | TARGET_USER_YMIN | - | Default: 0.000000 |
| North | floating point number | TARGET_USER_YMAX | - | Default: 100.000000 |
| Columns | integer number | TARGET_USER_COLS | Number of cells in East-West direction. | Minimum: 1
Default: 101 |
| Rows | integer number | TARGET_USER_ROWS | Number of cells in North-South direction. | Minimum: 1
Default: 101 |
| Rounding | boolean | TARGET_USER_FLAT | Round bounding coordinates to multiples of cell size. Ignored if cell size has decimal places. | Default: 1 |
| Fit | choice | TARGET_USER_FITS | - | Available Choices:
[0] nodes
[1] cells
Default: 0 |
| Grid System | grid system | TARGET_SYSTEM | - | - |