Version:

Last Modified: March 15, 2017

Describes a surface in 3D with two independent variables running over two different intervals.

You can integrate an arbitrary set of parameters in the formula.

Numbers of values for both variables used in the function calculation.

An array of three strings describing three functions, each of the which represents a component of the surface that this node describes. The formula can contain any number of valid variables.

Entering Valid Variables

This node accepts variables that use the following format rule: variables must start with a letter or an underscore followed by any number of alphanumeric characters or underscores.

Example of Entering Values for **formulas**

As an example, consider the ellipsoid given by

$\frac{{x}^{2}}{{a}^{2}}+\frac{{y}^{2}}{{b}^{2}}+\frac{{z}^{2}}{{c}^{2}}=1$

Setting the parameter values in **parameters** as *a* = 1, *b* = 2, and *c* = 3, you can enter the following three equations in **formulas** to get **x**, **y**, and **z** values of the ellipsoid:

a*cos(x1)

b*sin(x1)*sin(x2)

c*sin(x1)*cos(x2)

where *x*1 and *x*2 are the two specified **variables**.

Start points of both variables. The array contains two elements.

End points of both variables. The array contains two elements.

Variables with respect to the naming conventions of the Parsing nodes.

Error conditions that occur before this node runs.

The node responds to this input according to standard error behavior.

Standard Error Behavior

Many nodes provide an **error in** input and an **error out** output so that the node can respond to and communicate errors that occur while code is running. The value of **error in** specifies whether an error occurred before the node runs. Most nodes respond to values of **error in** in a standard, predictable way.

**Default: **No error

Variables and their corresponding values in the parameters.

Name of the parameter that uses the conventions of the Parsing nodes.

**Default: **Empty string

Value of **variable**.

**Default: **0

*y* values at the grid points.

These values are calculated on a 2D grid defined by the discrete values of **variables**. The number of elements in **y** equals to the product of the numbers of the two elements in **number of points**.

*z* values at the grid points.

These values are calculated on a 2D grid defined by the discrete values of **variables**. The number of elements in **z** equals to the product of the numbers of the two elements in **number of points**.

Error information.

The node produces this output according to standard error behavior.

Standard Error Behavior

**error in** input and an **error out** output so that the node can respond to and communicate errors that occur while code is running. The value of **error in** specifies whether an error occurred before the node runs. Most nodes respond to values of **error in** in a standard, predictable way.

**Where This Node Can Run: **

Desktop OS: Windows

FPGA: This product does not support FPGA devices