Math

Mathematical operations can be seen as the core of a programming language - even if it is a node-based, visual system. With the nodes of the "Math" class you are able to perform calculations and produce a result. The interesting thing with the graph engine's "Math" nodes is that they do not only support single elements, for example basic operations like 7 + 5, or 3 * 8, but also predefined nodes for vector calculations, complex matrices, and even arrays (arrays can store more than one element, even millions). Aside from these convenient helpers, there is also a broad range of functions (sine, logarithms, square root etc.), and nodes for rounding operations. Another group of nodes provides ready-to-use methods for the interpolation of values from an array.

Nodes

Name	Description
Abs	Computes the absolute value of the input.
Add	Computes the addition of the two input values.
ArrayIndexBuildFromMask	This node returns an array containing the positions of the input 'mask' with a value of 1.
ArrayIndices	This node returns an array filled with integers from 0 to the size of the input array (minus one).
ArrayNumAverage	Computes the average value of all the input array elements.
ArrayNumConcat	This node concatenates the inputs 'array0' and 'array1' into a single 'out' array.
ArrayNumConstant	Returns an array of size 'size' for which all elements have 'constant' as value.
ArrayNumFilterByMask	This node returns the elements of the input 'array' at positions specified by the 'mask' parameter.
ArrayNumFindAllElementIndices	This node returns all positions in the input 'array', which fit to the input 'element' values.
ArrayNumFindElement	This node returns the first position of appearance of the input 'element' within the input 'array'. If the array does not contain the element, -1 is returned.
ArrayNumInsertElement	This node inserts all elements from the 'element' input into the input 'array' at the position specified by 'position'. If 'position' is equal or lower than 0 then the elements are inserted at the beginning of the array. If 'position' is greater or equal than the inputs 'array' size, elements are appended at the end.
ArrayNumMinMax	Computes the minimum/maximum values of all the input array elements.
ArrayNumMix	This node creates an output array based on the two inputs 'array0' and 'array1' and the input mask. If the mask value equals 0 then the value of 'array0' is used, if the mask value is 1 the value of 'array1' is used.
ArrayNumPushElement	This node appends all the elements from the 'element' at the end of the input 'array'.
ArrayNumRandom	Computes an array of the given input 'size' filled with random values in range from 'min' to 'max'.
ArrayNumRange	Creates an array of size 'steps' which values are increased uniformly from 'start' to 'end'.
ArrayNumRemoveElement	This node removes all elements of the 'by_value' from the input 'array'. The returned mask has the same size as the input 'array' and is set to 0 at removed positions.
ArrayNumRemoveIndex	This node removes all input array positions by the 'index' input.
ArrayNumRemoveRepeatedElements	This node removes all repetitions of elements from the input 'array'. The 'new_to_old' array can be used as an 'index' input for a GetArrayElement-Node to restore the original array. The returned mask has the same size as the input 'array' and is set to 0 at removed positions.
ArrayNumResize	This node resizes the input 'array'. If the result is bigger than the input array, the last value is repeated accordingly.
ArrayNumReverse	This node reverses the order of the input 'array'.
ArrayNumSlice	This node returns an array containing the range of the input 'array' from the 'first' position with the given input 'size'.Thus, the output array is a subarray or slice of the input.
ArrayNumSort	This node sorts the input 'array'. The 'old_to_new' array can be used as 'index' input of a GetArrayElement to sort a different array of the same size. The 'new_to_old' array can be used as 'index' input of a GetArrayElement to get the original array order if applied to the sorted one. to apply to other arrays of the same size.
ArrayNumSum	Returns the summation of all the elements of the input 'array'.
ArraySize	Returns the number of elements of the input array.
ArrayVector3GridFromBox	Computes a three dimensional grid of Vector3 positions based on the input box and number of elements.
ArrayVector3GridFromSize	Computes a three dimensional grid of Vector3 positions based on the input number of elements and step size.
ArrayVector3RandomFromBox	Computes an array of three dimensional random positions within the input box.
Atan2	Computes the principal value of the arc tangent of y/x (in radians [-pi,+pi]).
Ceil	Computes the ceil value of the input. Examples: ceil(2.3)=3; ceil(-2.3)=-2.
Clamp	Clamps the input value according to the given min and max values.
ColorGradientClear	Removes all the color knots from the input color gradient.
ColorGradientFromArrayKnots	Creates a single color gradient from the input values. The number of resulting color knots is determined by the size of the 'position' parameter.
ColorGradientGetArrayKnots	Returns the values of the input color gradient.
ColorGradientGetKnot	Returns the values of the input color gradient color knot.
ColorGradientKnotCount	Returns the number of color knots of the input color gradient.
ColorGradientRemoveKnot	Removes an existing color knot from the gradient.
ColorGradientReverse	Flips the order of all the color and bias knots of the color gradient (like a mirror).
ColorGradientSetKnot	Changes an existing color knot of the input color gradient. Only connected inputs actually change the color knot values.
Cos	Evaluates the cos-function.
Degrees	Converts radians to degrees.
Div	Computes the division of the two input values.
EvalColorGradient	Evaluate a color gradient at position 't'.
Exp	Computes the exponent value of the input.
Floor	Computes the floor value of the input. Examples: floor(2.3)=2; floor(-1.3)=-2.
GetArrayNum2DElement	This node returns the elements of the 2D input 'array' at positions specified by the x and y parameters.
GetArrayNum2DElementByUV	This node returns the bilinearly interpolated element of the 2D-input 'array' with the given width at the normalized coordinates x,y (0<x
GetArrayNum3DElement	Returns the element of the input array at position ('index x','index y','index z').
GetArrayNumElement	This node returns the elements of the input 'array' at positions specified by the 'index' parameter.
GetNumGlobalVariable	This node returns a reference to previously stored variables in global memory (using the SetGlobalVariable-Nodes).
GetSpline	This node gets the spline of the input node.
IsNull	Returns for every element of the input 'array' if it is NULL or not.
Log	Computes the natural logarithm value of the input.
Log10	Computes the common (base-10) logarithm value of the input.
Matrix4CreateRotation	Set rotation matrix according to provided axis and angle given by input vector and input angle (in degrees).
Matrix4CreateRotationEuler	Set rotation matrix according to euler angles (in degrees) given by input vector.
Matrix4CreateScale	Set scale matrix according to input vector. Scaling in x,y and z-direction is defined by x,y and z components of the input vector.
Matrix4CreateTranslation	Set translation matrix according to input vector.
Matrix4Determinant	Computes the determinant of the given matrix.
Matrix4GetEulerAngle	Computes the Euler angles (in degrees) of the given input matrix.
Matrix4Inverse	Computes the inverse of the given matrix.
Matrix4MulVector3	Computes the product of the input matrix and the input vector. The vector is handled as four-dimensional vector (x,y,z,1).
Matrix4Transpose	Computes the transposed of the given matrix.
Mod	Computes module of the input value.
Mul	Computes the product of the two input values.
NumCopy	This node duplicates the value of 'in' to the output 'copy'.
NumInterpolateBezier	Computes bezier interpolated value between the array of supporting points.
NumInterpolateCubic	Computes cubic interpolated value between the array of supporting points.
NumInterpolateHermite	Computes hermite interpolated value between the array of supporting points.
NumInterpolateLinear	Computes linearly interpolated value between the first and second value given by the blend value. If the clamp value is set, the result is clamped according to the first and second value, otherwise not.
NumMapRange	Tranforms the in value from 'range in' into the 'range out'. May be used, to normalize values within a given range (e.g. range out=0..1) or to determine image coordinates from a global position (e.g. range out=0..imageWidth).
Pow	Computes the base raised to the power exponent.
QuaternionConjugate	Computes the conjugate quaternion of the given quaternion.
QuaternionDot	Computes the dot-product of the given quaternions.
QuaternionInverse	Computes the inverse of the given quaternion.
QuaternionNegate	Computes the negative of the given quaternion.
QuaternionNormalize	Computes the norm of the given quaternion.
QuaternionSlerp	Slerp-interpolation (spherical linear interpolation) between the two given input quaternions and the interpolation parameter (0..1).
Radians	Converts degrees to radians.
Round	Computes the round value of the input. Example: round(2.3)=2; round(2.7)=3.
SetArrayNumElement	Returns an array equal to the input 'array' but changing the element at position 'index' to the value of 'element'.
SetMatrix4FromComponents	Set transformation matrix according to the given inputs of translation, axis of rotation and angle (in degree), as well as scale. Take note, the rotation axis should not be set to a null vector - otherwise, the resulting matrix is zero.
SetMatrix4FromQuaternion	Set transformation matrix according to the given rotation defined by the input quaternion.
SetNumGlobalVariable	This node allows the user to create a reference or a copy of the input pin in global memory to be used within other RealFlow graph through the GetGlobalVariable nodes.
SetSpline	This node replaces the spline with the input spline.
Sin	Evaluates the sin-function.
SplineAddControlPoint	This node adds control points to the spline. The new control points are added at the end of the spline. If you want to insert control points at specific locations use the node "SplineInsertControlPoint".
SplineCreate	This node creates an empty spline inside the graph.
SplineEvaluate	This node evaluates the spline at some specific location. The location is given as the index of the span and the normalized position inside that span.
SplineGetControlPoint	This node gets the control points of the spline.
SplineInsertControlPoint	This node inserts control points to the spline at some specific. The location is given as the index of the span and the normalized position inside that span.
Sqrt	Computes the square root value of the input.
Sub	Computes the substraction of the two input values.
Tan	Evaluates the tan-function.
TrigonometricFunctions	Returns trigonometrical function of given input value.
Vector3Angle	Computes the angle defined by the input vectors (in degrees).
Vector3AreParallel	Returns true, if both vectors are parallel, otherwise false.
Vector3ArePerpendicular	Returns true, if both vectors are perpendicular, otherwise false.
Vector3Cross	Computes the cross product of the input vectors.
Vector3Distance	Computes the distance between the input vectors.
Vector3Dot	Computes the dot product of the input vectors.
Vector3Interpolate	Computes interpolated vector between the first and second vectors given by the blend value. If the clamp value is set, the result is clamped, otherwise not.
Vector3Length	Computes the module of the input 'vector'.
Vector3LengthSquared	Computes the squared length of the input vector.
Vector3Normalize	Computes a normalized copy of the input 'vector'.
Vector3Project	Computes the projection of vector 0 onto vector 1.
Vector3Reorder	Reorders the components of the input 'vector'.

Abs

This node is executed in parallel according to its input pins size.

Computes the absolute value of the input.

Inputs

Name	Types	PassThrough	Description
in	Numeric Integer Integer64 Real Vector3	Optional result	Value to get the absolute value of

Outputs

Name	Types	PassThrough	Description
result	Numeric Integer Integer64 Real Vector3	Optional in	Absolute value of 'in'

Add

This node is executed in parallel according to its input pins size.

Computes the addition of the two input values.

Inputs

Name	Types	PassThrough	Description
in0	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional result	First operator
in1	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional result	Second operator

Outputs

Name	Types	PassThrough	Description
result	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional in0 in1	Operation result

ArrayIndexBuildFromMask

This node returns an array containing the positions of the input 'mask' with a value of 1.

Inputs

Name	Types	PassThrough	Description
mask	Bit	through	The mask

Outputs

Name	Types	PassThrough	Description
index	Integer		The index
through	PassThrough	mask	The input 'mask'

ArrayIndices

This node returns an array filled with integers from 0 to the size of the input array (minus one).

Inputs

Name	Types	PassThrough	Description
array	All		The array

Outputs

Name	Types	PassThrough	Description
indices	Integer		Array with indices

ArrayNumAverage

Computes the average value of all the input array elements.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4		The array

Outputs

Name	Types	PassThrough	Description
average	Numeric Real Vector3 Color4		The average

ArrayNumConcat

This node concatenates the inputs 'array0' and 'array1' into a single 'out' array.

Inputs

Name	Types	PassThrough	Description
array0	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array0
array1	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array1

Outputs

Name	Types	PassThrough	Description
out array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional array0 array1	The out array

ArrayNumConstant

Returns an array of size 'size' for which all elements have 'constant' as value.

Inputs

Name	Types	PassThrough	Description
size	Integer (1)		The size of the output array
constant	Numeric (1) Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The value of the output array elements

Outputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The array

ArrayNumFilterByMask

This node returns the elements of the input 'array' at positions specified by the 'mask' parameter.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional result	The array
mask	Bit		The mask

Outputs

Name	Types	PassThrough	Description
result	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional array	The result

ArrayNumFindAllElementIndices

This node returns all positions in the input 'array', which fit to the input 'element' values. .

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The array
element	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The value to find in the input array

Outputs

Name	Types	PassThrough	Description
index	Integer		The index
mask	Bit		The mask

ArrayNumFindElement

This node is executed in parallel according to its input pins size.

This node returns the first position of appearance of the input 'element' within the input 'array'. If the array does not contain the element, -1 is returned.

Inputs

Name	Types	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	The array
element	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	The value to find in the input array
start index	Integer	The first index to search the element from

Outputs

Name	Types	PassThrough	Description
index	Integer		The index

ArrayNumInsertElement

This node inserts all elements from the 'element' input into the input 'array' at the position specified by 'position'. If 'position' is equal or lower than 0 then the elements are inserted at the beginning of the array. If 'position' is greater or equal than the inputs 'array' size, elements are appended at the end.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array
element	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The value to insert
index	Integer (1)		The position to insert the input element on

Outputs

Name	Types	PassThrough	Description
out array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional array	The out array

ArrayNumMinMax

Computes the minimum/maximum values of all the input array elements.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Real Color4 Vector3 Matrix4		The array

Outputs

Name	Types	Description
min	Numeric Integer Real Color4 Vector3 Matrix4	The min
index min	Integer	The position of the minimum value of the input 'array'. For vector types, it returns the index of the minimum of the first component!
max	Numeric Integer Real Color4 Vector3 Matrix4	The max
index max	Integer	The position of the maximum value of the input 'array'. For vector types, it returns the index of the maximum of the first component!

ArrayNumMix

This node creates an output array based on the two inputs 'array0' and 'array1' and the input mask. If the mask value equals 0 then the value of 'array0' is used, if the mask value is 1 the value of 'array1' is used.

The size of the output is the same as mask's size.

Inputs

Name	Types	PassThrough	Description
array0	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array0
array1	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array1
mask	Bit		The mask

Outputs

Name	Types	PassThrough	Description
out array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional array0 array1	The out array

ArrayNumPushElement

This node appends all the elements from the 'element' at the end of the input 'array'.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array
element	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The value to append at the end

Outputs

Name	Types	PassThrough	Description
out array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional array	The out array

ArrayNumRandom

Computes an array of the given input 'size' filled with random values in range from 'min' to 'max'.

Inputs

Name	Types	Description
size	Integer (1)	The size of the output array
min	Numeric Integer Integer64 Real Vector3 Color4	The minimum value of the random output values
max	Numeric Integer Integer64 Real Vector3 Color4	The maximum value of the random output values
seed	Integer (1)	The seed of the random algorithm

Outputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4		The array

ArrayNumRange

Creates an array of size 'steps' which values are increased uniformly from 'start' to 'end'.

If 'steps' is 1 the single element of the output 'array' is 'start'.

Inputs

Name	Types	Description
start	Numeric (1) Integer Integer64 Real Vector3 Color4 Matrix4	The start value of the range
end	Numeric (1) Integer Integer64 Real Vector3 Color4 Matrix4	The end (target) value of the range
steps	Integer (1)	The size of the output 'array'

Outputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 Matrix4		The array

ArrayNumRemoveElement

This node removes all elements of the 'by_value' from the input 'array'. The returned mask has the same size as the input 'array' and is set to 0 at removed positions.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array
element	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The value to remove all its instances from the input array

Outputs

Name	Types	PassThrough	Description
out array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional array	The out array
mask	Bit		The mask

ArrayNumRemoveIndex

This node removes all input array positions by the 'index' input. .

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array
index	Integer		The positions of the input array to remove

Outputs

Name	Types	PassThrough	Description
out array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional array	The out array

ArrayNumRemoveRepeatedElements

This node removes all repetitions of elements from the input 'array'. The 'new_to_old' array can be used as an 'index' input for a GetArrayElement-Node to restore the original array. The returned mask has the same size as the input 'array' and is set to 0 at removed positions.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array

Outputs

Name	Types	PassThrough	Description
new to old	Integer		The new to old
mask	Bit		The mask
out array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional array	The out array

ArrayNumResize

This node resizes the input 'array'. If the result is bigger than the input array, the last value is repeated accordingly.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array
size	Integer (1)		The size

Outputs

Name	Types	PassThrough	Description
out array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional array	The out array

ArrayNumReverse

This node reverses the order of the input 'array'.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array

Outputs

Name	Types	PassThrough	Description
out array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional array	The out array

ArrayNumSlice

This node returns an array containing the range of the input 'array' from the 'first' position with the given input 'size'.Thus, the output array is a subarray or slice of the input.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array
first	Integer (1)		The position of the element that will be the first of the output array
size	Integer (1)		The total number of elements to copy from the input array. If value is negative, all the elements from 'first' are copied to the output array

Outputs

Name	Types	PassThrough	Description
out array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional array	The out array

ArrayNumSort

This node sorts the input 'array'. The 'old_to_new' array can be used as 'index' input of a GetArrayElement to sort a different array of the same size. The 'new_to_old' array can be used as 'index' input of a GetArrayElement to get the original array order if applied to the sorted one. to apply to other arrays of the same size.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient	Optional out array	The array

Outputs

Name	Types	PassThrough	Description
old to new	Integer		The old to new
new to old	Integer		The new to old
out array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient	Optional array	The out array

ArrayNumSum

Returns the summation of all the elements of the input 'array'.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The array

Outputs

Name	Types	PassThrough	Description
sum	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The sum

ArraySize

Returns the number of elements of the input array.

Inputs

Name	Types	PassThrough	Description
array	All	through	The array

Outputs

Name	Types	PassThrough	Description
size	Integer		Array size
through	PassThrough	array	The input 'array'

ArrayVector3GridFromBox

Computes a three dimensional grid of Vector3 positions based on the input box and number of elements.

The total number of elements of the output is 'count x' * 'count y' * 'count z'. Keep in mind that if any of them is 0 then the output array will be empty 0.

The order of the result is determined by the 'order' input. It determines the order in which the components grow.

For example, if the order is set to XYZ the output is the following:

000

001

010

011

100

101

110

111.

Inputs

Name	Types	Description
box	Box (1)	The bounding box that will contain the generated positions
count x	Integer (1)	The number of elements to create in the X axis of the box
count y	Integer (1)	The number of elements to create in the Y axis of the box
count z	Integer (1)	The number of elements to create in the Z axis of the box
order	List (1) XYZ XZY YXZ YZX ZXY ZYX	The order in which elements are stored in the output array

Outputs

Name	Types	PassThrough	Description
array	Vector3		The array

ArrayVector3GridFromSize

Computes a three dimensional grid of Vector3 positions based on the input number of elements and step size.

The total number of elements of the output is 'count x' * 'count y' * 'count z'. Keep in mind that if any of them is 0 then the output array will be empty 0.

The first element is created at the 'origin' position.

The order of the result is determined by the 'order' input. It determines the order in which the components grow.

For example, if the order is set to XYZ the output is the following:

000

001

010

011

100

101

110

111.

Inputs

Name	Types	Description
origin	Vector3 (1)	The position of the first element of the output array
count x	Integer (1)	The number of elements to create in the X direction
count y	Integer (1)	The number of elements to create in the Y direction
count z	Integer (1)	The number of elements to create in the Z direction
step	Vector3 (1)	The distance for every axis between every output position
order	List (1) XYZ XZY YXZ YZX ZXY ZYX	The order in which elements are stored in the output array

Outputs

Name	Types	PassThrough	Description
array	Vector3		The array

ArrayVector3RandomFromBox

Computes an array of three dimensional random positions within the input box.

Inputs

Name	Types	Description
box	Box (1)	The bounding box that will contain the generated positions
size	Integer (1)	The number of positions to create for the output array
seed	Integer (1)	The seed for the random generated numbers

Outputs

Name	Types	PassThrough	Description
array	Vector3		The array

Atan2

This node is executed in parallel according to its input pins size.

Computes the principal value of the arc tangent of y/x (in radians [-pi,+pi]).

Inputs

Name	Types	PassThrough	Description
y	Real	Optional result	Y-Coordinate
x	Real	Optional result	X-Coordinate

Outputs

Name	Types	PassThrough	Description
result	Real	Optional y x	Principal arc tangent of y/x

Ceil

This node is executed in parallel according to its input pins size.

Computes the ceil value of the input. Examples: ceil(2.3)=3; ceil(-2.3)=-2.

Inputs

Name	Types	PassThrough	Description
in	Numeric Real Vector3		Value to get the ceil value of

Outputs

Name	Types	PassThrough	Description
result	Numeric Real Vector3		Ceil value of 'in'

Clamp

This node is executed in parallel according to its input pins size.

Clamps the input value according to the given min and max values.

Inputs

Name	Types	PassThrough	Description
in	Numeric Real Integer Integer64 Vector3 Color4	Optional result	The in
max	Numeric Real Integer Integer64 Vector3 Color4		The max
min	Numeric Real Integer Integer64 Vector3 Color4		The min

Outputs

Name	Types	PassThrough	Description
result	Numeric Real Integer Integer64 Vector3 Color4	Optional in	The result

ColorGradientClear

Removes all the color knots from the input color gradient.

Inputs

Name	Types	PassThrough	Description
in	ColorGradient	Optional out	The in

Outputs

Name	Types	PassThrough	Description
out	ColorGradient	Optional in	The out

ColorGradientFromArrayKnots

Creates a single color gradient from the input values. The number of resulting color knots is determined by the size of the 'position' parameter.

Inputs

Name	Types	Description
position	Real	The positions of the color knots of the gradient. The size of this parameter determines the amount of control points of the resulting color gradient
color	Color4	The colors of the color knots of the gradient
bias	Real	The bias between two consecutive control points

Outputs

Name	Types	PassThrough	Description
gradient	ColorGradient		The gradient

ColorGradientGetArrayKnots

Returns the values of the input color gradient.

Inputs

Name	Types	PassThrough	Description
gradient	ColorGradient (1)	through	The gradient

Outputs

Name	Types	PassThrough	Description
knot count	Integer		The number of color knots of the color gradient
position	Real		The position of every color knot of the color gradient
color	Color4		The color of every color knot of the color gradient
bias	Real		The bias of every color knot of the color gradient. For convenience, the last one is set to 0.5 to make this array of the same size as the rest
through	PassThrough	gradient	The input 'gradient'

ColorGradientGetKnot

Returns the values of the input color gradient color knot.

Inputs

Name	Types	PassThrough	Description
gradient	ColorGradient	through	The gradient
index	Integer		The index of the color knot of the color gradient to get the values from

Outputs

Name	Types	PassThrough	Description
position	Real		The position of the color knot of the color gradient
color	Color4		The color of the color knot of the color gradient
bias	Real		The bias of the color knot of the color gradient
through	PassThrough	gradient	The input 'gradient'

ColorGradientKnotCount

Returns the number of color knots of the input color gradient.

Inputs

Name	Types	PassThrough	Description
gradient	ColorGradient	through	The gradient

Outputs

Name	Types	PassThrough	Description
count	Integer		The number of color knots of the color gradient
through	PassThrough	gradient	The input 'gradient'

ColorGradientRemoveKnot

Removes an existing color knot from the gradient.

Inputs

Name	Types	PassThrough	Description
gradient	ColorGradient	Optional out gradient	The gradient
index	Integer		The index of the color knot of the color gradient to be removed

Outputs

Name	Types	PassThrough	Description
out gradient	ColorGradient	Optional gradient	The out gradient

ColorGradientReverse

Flips the order of all the color and bias knots of the color gradient (like a mirror).

Inputs

Name	Types	PassThrough	Description
in	ColorGradient	Optional out	The in

Outputs

Name	Types	PassThrough	Description
out	ColorGradient	Optional in	The out

ColorGradientSetKnot

Changes an existing color knot of the input color gradient. Only connected inputs actually change the color knot values.

Inputs

Name	Types	PassThrough	Description
gradient	ColorGradient	Optional out gradient	The gradient
index	Integer		The index of the color knot of the color gradient to set the values to
position	Real		The new position of the color knot of the gradient
color	Color4		The new color of the color knot of the gradient
bias	Real		The new bias of the color knot of the gradient. Last color knot bias is ignored

Outputs

Name	Types	PassThrough	Description
out gradient	ColorGradient	Optional gradient	The out gradient

Cos

This node is executed in parallel according to its input pins size.

Evaluates the cos-function.

Inputs

Name	Types	PassThrough	Description
in	Real	Optional result	The in

Outputs

Name	Types	PassThrough	Description
result	Real	Optional in	The result

Degrees

This node is executed in parallel according to its input pins size.

Converts radians to degrees.

Inputs

Name	Types	PassThrough	Description
in	Numeric Real Vector3		Input in radians

Outputs

Name	Types	PassThrough	Description
result	Numeric Real Vector3		Output in degrees

Div

This node is executed in parallel according to its input pins size.

Computes the division of the two input values.

Inputs

Name	Types	PassThrough	Description
in0	Numeric Integer Integer64 Real Vector3 Color4	Optional result	First operator
in1	Numeric Integer Integer64 Real Vector3 Color4	Optional result	Second operator

Outputs

Name	Types	PassThrough	Description
result	Numeric Integer Integer64 Real Vector3 Color4	Optional in0 in1	Operation result

EvalColorGradient

This node is executed in parallel according to its input pins size.

Evaluate a color gradient at position 't'.

Inputs

Name	Types	PassThrough	Description
gradient	ColorGradient		The gradient
t	Real		The position where the color gradient will be evaluated. Generally between 0.0 and 1.0

Outputs

Name	Types	PassThrough	Description
color	Color4		The color of the gradient at 't'

Exp

This node is executed in parallel according to its input pins size.

Computes the exponent value of the input.

Inputs

Name	Types	PassThrough	Description
in	Real	Optional result	Value to get the exponent value of

Outputs

Name	Types	PassThrough	Description
result	Real	Optional in	Exponent value of 'in'

Floor

This node is executed in parallel according to its input pins size.

Computes the floor value of the input. Examples: floor(2.3)=2; floor(-1.3)=-2.

Inputs

Name	Types	PassThrough	Description
in	Numeric Real Vector3		Value to get the floor value of

Outputs

Name	Types	PassThrough	Description
result	Numeric Real Vector3		Floor value of 'in'

GetArrayNum2DElement

This node returns the elements of the 2D input 'array' at positions specified by the x and y parameters.

Inputs

Name	Types	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	The array
width	Integer	The width
x	Integer	The x
y	Integer	The y

Outputs

Name	Types	PassThrough	Description
element	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The element
index	Integer		The index

GetArrayNum2DElementByUV

This node returns the bilinearly interpolated element of the 2D-input 'array' with the given width at the normalized coordinates x,y (0<x

Inputs

Name	Types	Description
array	Numeric Real Vector3 Color4 ColorGradient Matrix4 Quaternion	The array
width	Integer	The width
x	Real	The x
y	Real	The y

Outputs

Name	Types	PassThrough	Description
element	Numeric Real Vector3 Color4 ColorGradient Matrix4 Quaternion		The element

GetArrayNum3DElement

Returns the element of the input array at position ('index x','index y','index z').

The input array is a three dimensional array encoded into a one dimensional array. Therefore, the size of the 3D array is necessary to access its elements. 'size x' * 'size y' * 'size z' must be the size of the input array.

The order in which the elements are accessed is determined by the 'order' input.

For example, if the order is set to XYZ the input is as follows:

000

001

010

011

100

101

110

111

.

Inputs

Name	Types	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	The array with elements stored in a 3D grid
index x	Integer	The X position of the element to query
index y	Integer	The Y position of the element to query
index z	Integer	The Z position of the element to query
size x	Integer (1)	The width of the input array
size y	Integer (1)	The height of the input array
size z	Integer (1)	The depth of the input array
order	List (1) XYZ XZY YXZ YZX ZXY ZYX	The order in which elements are stored in the input array

Outputs

Name	Types	PassThrough	Description
element	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The element
index	Integer		The index of the element for the one dimensional access

GetArrayNumElement

This node returns the elements of the input 'array' at positions specified by the 'index' parameter.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The array
index	Integer		The index

Outputs

Name	Types	PassThrough	Description
element	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The element

GetNumGlobalVariable

This node returns a reference to previously stored variables in global memory (using the SetGlobalVariable-Nodes).

Inputs

Name	Types	PassThrough	Description
name	String (1)		The name

Outputs

Name	Types	PassThrough	Description
out	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The out

GetSpline

This node gets the spline of the input node.

Inputs

Name	Types	PassThrough	Description
node	RealFlow Node		The node

Outputs

Name	Types	PassThrough	Description
spline	Spline		The spline

IsNull

Returns for every element of the input 'array' if it is NULL or not.

Inputs

Name	Types	PassThrough	Description
array	All	through	The array

Outputs

Name	Types	PassThrough	Description
bit	Bit		True for elements that are NULL
through	PassThrough	array	The input 'array'

Log

This node is executed in parallel according to its input pins size.

Computes the natural logarithm value of the input.

Inputs

Name	Types	PassThrough	Description
in	Real	Optional result	Value to get the log value of

Outputs

Name	Types	PassThrough	Description
result	Real	Optional in	Log value of 'in'

Log10

This node is executed in parallel according to its input pins size.

Computes the common (base-10) logarithm value of the input.

Inputs

Name	Types	PassThrough	Description
in	Real	Optional result	Value to get the log10 value of

Outputs

Name	Types	PassThrough	Description
result	Real	Optional in	Log10 value of 'in'

Matrix4CreateRotation

This node is executed in parallel according to its input pins size.

Set rotation matrix according to provided axis and angle given by input vector and input angle (in degrees).

Inputs

Name	Types	PassThrough	Description
vector	Vector3		The vector
degree	Real		The degree

Outputs

Name	Types	PassThrough	Description
matrix	Matrix4		The matrix

Matrix4CreateRotationEuler

This node is executed in parallel according to its input pins size.

Set rotation matrix according to euler angles (in degrees) given by input vector.

Inputs

Name	Types	Description
angle	Vector3	The angle
order	List (1) XYZ YZX ZXY ZYX XZY YXZ	The rotation order of the matrix
clockwise	Bit (1)	The positive (counter clock wise) or negative (clock wise) rotation convention of the matrix

Outputs

Name	Types	PassThrough	Description
matrix	Matrix4		The matrix

Matrix4CreateScale

This node is executed in parallel according to its input pins size.

Set scale matrix according to input vector. Scaling in x,y and z-direction is defined by x,y and z components of the input vector.

Inputs

Name	Types	PassThrough	Description
vector	Vector3		The vector

Outputs

Name	Types	PassThrough	Description
matrix	Matrix4		The matrix

Matrix4CreateTranslation

This node is executed in parallel according to its input pins size.

Set translation matrix according to input vector.

Inputs

Name	Types	PassThrough	Description
vector	Vector3		The vector

Outputs

Name	Types	PassThrough	Description
matrix	Matrix4		The matrix

Matrix4Determinant

This node is executed in parallel according to its input pins size.

Computes the determinant of the given matrix.

Inputs

Name	Types	PassThrough	Description
matrix	Matrix4		The matrix

Outputs

Name	Types	PassThrough	Description
determinant	Real		The determinant

Matrix4GetEulerAngle

This node is executed in parallel according to its input pins size.

Computes the Euler angles (in degrees) of the given input matrix. .

Inputs

Name	Types	Description
matrix	Matrix4	The matrix
order	List (1) XYZ YZX ZXY ZYX XZY YXZ	The rotation order of the matrix
clockwise	Bit (1)	The positive (counter clock wise) or negative (clock wise) rotation convention of the matrix

Outputs

Name	Types	PassThrough	Description
vector	Vector3		The vector

Matrix4Inverse

This node is executed in parallel according to its input pins size.

Computes the inverse of the given matrix.

Inputs

Name	Types	PassThrough	Description
matrix	Matrix4	Optional result	The matrix

Outputs

Name	Types	PassThrough	Description
result	Matrix4	Optional matrix	The result

Matrix4MulVector3

This node is executed in parallel according to its input pins size.

Computes the product of the input matrix and the input vector. The vector is handled as four-dimensional vector (x,y,z,1).

Additionally, this node can handle a single matrix and an array of vectors, which might be useful for transforming positions or velocities of particles.

Inputs

Name	Types	PassThrough	Description
vector	Vector3	Optional out vector	The vector
matrix	Matrix4		The matrix

Outputs

Name	Types	PassThrough	Description
out vector	Vector3	Optional vector	The out vector

Matrix4Transpose

This node is executed in parallel according to its input pins size.

Computes the transposed of the given matrix.

Inputs

Name	Types	PassThrough	Description
matrix	Matrix4	Optional result	The matrix

Outputs

Name	Types	PassThrough	Description
result	Matrix4	Optional matrix	The result

Mod

Computes module of the input value.

Inputs

Name	Types	PassThrough	Description
in	Numeric Color4 Vector3 Real Integer Integer64		The in
mod	Numeric Real Integer Integer64		The mod

Outputs

Name	Types	PassThrough	Description
result	Numeric Color4 Vector3 Real Integer Integer64		The result

Mul

This node is executed in parallel according to its input pins size.

Computes the product of the two input values.

Inputs

Name	Types	PassThrough	Description
in0	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional result	First operator
in1	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional result	Second operator

Outputs

Name	Types	PassThrough	Description
result	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional in0 in1	Operation result

NumCopy

This node duplicates the value of 'in' to the output 'copy'.

Inputs

Name	Types	PassThrough	Description
in	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The value to duplicate

Outputs

Name	Types	PassThrough	Description
copy	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		A copy of 'in'

NumInterpolateBezier

Computes bezier interpolated value between the array of supporting points.

Inputs

Name	Types	Description
array	Numeric Real Vector3 Color4 Quaternion	Array of supporting points
tangents	Numeric Real Vector3 Color4 Quaternion	Array of same size as supporting points, defining the tangent per point
t	Real	Parameter to access the curve (0..1)
tangent influence	Real (1)	The tangent influence

Outputs

Name	Types	PassThrough	Description
result	Numeric Real Vector3 Color4 Quaternion		The result

NumInterpolateCubic

Computes cubic interpolated value between the array of supporting points.

Inputs

Name	Types	Description
array	Numeric Real Vector3 Color4 Quaternion	Array of supporting points
t	Real	Parameter to access he curve (0..1)
equal stepping	Bit (1)	Enables constant distances within the discretization of the curve. See also the following parameter, to tweak quality of equal distances..
equal stepping param	Integer (1)	No of discretization steps to determine constant distances. Good values lie between (50...2000), depending on the length of the curve. Higher values mean higher precision, but may slow down the calculation

Outputs

Name	Types	PassThrough	Description
result	Numeric Real Vector3 Color4 Quaternion		The result

NumInterpolateHermite

Computes hermite interpolated value between the array of supporting points.

Inputs

Name	Types	Description
array	Numeric Real Vector3 Color4 Quaternion	Array of supporting points
t	Real	Parameter to access he curve (0..1)
tension	Real (1)	Tension can be used to tighten up the curvature at the supporting points. 1 is high, 0 normal, -1 is low
bias	Real (1)	The bias can be used to twist the curve about the known points. 0 is even, >0 is towards first segment, <0 towards the other
equal stepping	Bit (1)	Enables constant distances within the discretization of the curve. See also the following parameter, to tweak quality of equal distances..
equal stepping param	Integer (1)	No of discretization steps to determine constant distances. Good values lie between (50...2000), depending on the length of the curve. Higher values mean higher precision, but may slow down the calculation

Outputs

Name	Types	PassThrough	Description
result	Numeric Real Vector3 Color4 Quaternion		The result

NumInterpolateLinear

This node is executed in parallel according to its input pins size.

Computes linearly interpolated value between the first and second value given by the blend value. If the clamp value is set, the result is clamped according to the first and second value, otherwise not.

Inputs

Name	Types	Description
first	Numeric Real Vector3 Color4 Matrix4	First value to be interpolated
second	Numeric Real Vector3 Color4 Matrix4	Second Value to be interpolated
blend	Real	The blending value between first and second value
clamp	Bit (1)	Determines if the values are clamped according to the first and second value

Outputs

Name	Types	PassThrough	Description
result	Numeric Real Vector3 Color4 Matrix4		The result

NumMapRange

This node is executed in parallel according to its input pins size.

Tranforms the in value from 'range in' into the 'range out'. May be used, to normalize values within a given range (e.g. range out=0..1) or to determine image coordinates from a global position (e.g. range out=0..imageWidth).

Inputs

Name	Types	PassThrough	Description
value	Numeric Real Vector3 Color4	Optional result	The value
in range min	Numeric Real Vector3 Color4		The in range min
in range max	Numeric Real Vector3 Color4		The in range max
out range min	Numeric Real Vector3 Color4		The out range min
out range max	Numeric Real Vector3 Color4		The out range max

Outputs

Name	Types	PassThrough	Description
result	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional value	The result

Pow

This node is executed in parallel according to its input pins size.

Computes the base raised to the power exponent.

Inputs

Name	Types	PassThrough	Description
base	Real	Optional result	Base
exponent	Real	Optional result	Exponent

Outputs

Name	Types	PassThrough	Description
result	Real	Optional base exponent	Power

QuaternionConjugate

This node is executed in parallel according to its input pins size.

Computes the conjugate quaternion of the given quaternion.

Inputs

Name	Types	PassThrough	Description
quaternion	Quaternion	Optional conjugate	The quaternion

Outputs

Name	Types	PassThrough	Description
conjugate	Quaternion	Optional quaternion	The conjugate

QuaternionDot

Computes the dot-product of the given quaternions.

Inputs

Name	Types	PassThrough	Description
in0	Quaternion		The in0
in1	Quaternion		The in1

Outputs

Name	Types	PassThrough	Description
dot	Real		The dot

QuaternionInverse

This node is executed in parallel according to its input pins size.

Computes the inverse of the given quaternion.

Inputs

Name	Types	PassThrough	Description
quaternion	Quaternion	Optional inverse	The quaternion

Outputs

Name	Types	PassThrough	Description
inverse	Quaternion	Optional quaternion	The inverse

QuaternionNegate

This node is executed in parallel according to its input pins size.

Computes the negative of the given quaternion.

Inputs

Name	Types	PassThrough	Description
quaternion	Quaternion	Optional negative	The quaternion

Outputs

Name	Types	PassThrough	Description
negative	Quaternion	Optional quaternion	The negative

QuaternionNormalize

This node is executed in parallel according to its input pins size.

Computes the norm of the given quaternion.

Inputs

Name	Types	PassThrough	Description
quaternion	Quaternion	Optional norm	The quaternion

Outputs

Name	Types	PassThrough	Description
norm	Quaternion	Optional quaternion	The norm

QuaternionSlerp

This node is executed in parallel according to its input pins size.

Slerp-interpolation (spherical linear interpolation) between the two given input quaternions and the interpolation parameter (0..1).

Inputs

Name	Types	PassThrough	Description
in0	Quaternion	Optional slerp	The in0
in1	Quaternion	Optional slerp	The in1
param	Real		The param

Outputs

Name	Types	PassThrough	Description
slerp	Quaternion	Optional in0 in1	The slerp

Radians

This node is executed in parallel according to its input pins size.

Converts degrees to radians.

Inputs

Name	Types	PassThrough	Description
in	Numeric Real Vector3		Input in degrees

Outputs

Name	Types	PassThrough	Description
result	Numeric Real Vector3		Output in radians

Round

This node is executed in parallel according to its input pins size.

Computes the round value of the input. Example: round(2.3)=2; round(2.7)=3.

Inputs

Name	Types	PassThrough	Description
in	Numeric Real Vector3		Value to get the round value of

Outputs

Name	Types	PassThrough	Description
result	Numeric Real Vector3		Round value of 'in'

SetArrayNumElement

Returns an array equal to the input 'array' but changing the element at position 'index' to the value of 'element'.

If input 'array' is not internally connected to the output, the output 'outArray' is a copy of the input.

Inputs

Name	Types	PassThrough	Description
array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional out array	The array
index	Integer		The position of the array element to change
element	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The value for the array element

Outputs

Name	Types	PassThrough	Description
out array	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional array	The changed array

SetMatrix4FromComponents

This node is executed in parallel according to its input pins size.

Set transformation matrix according to the given inputs of translation, axis of rotation and angle (in degree), as well as scale. Take note, the rotation axis should not be set to a null vector - otherwise, the resulting matrix is zero.

Inputs

Name	Types	Description
translation	Vector3	The translation
rotation axis	Vector3	The rotation axis
rotation degree	Real	The rotation degree
scale	Vector3	The scale

Outputs

Name	Types	PassThrough	Description
matrix	Matrix4		The matrix

SetMatrix4FromQuaternion

This node is executed in parallel according to its input pins size.

Set transformation matrix according to the given rotation defined by the input quaternion.

Inputs

Name	Types	PassThrough	Description
quaternion	Quaternion		The quaternion

Outputs

Name	Types	PassThrough	Description
matrix	Matrix4		The matrix

SetNumGlobalVariable

This node allows the user to create a reference or a copy of the input pin in global memory to be used within other RealFlow graph through the GetGlobalVariable nodes.

Inputs

Name	Types	PassThrough	Description
name	String (1)		The name
in	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	through	The in
store copy	Bit (1)		The store copy

Outputs

Name	Types	PassThrough	Description
through	PassThrough	in	The value connected to the input
out copy	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4		The value copied in memory in case a copy has been performed. The same input value otherwise

SetSpline

This node replaces the spline with the input spline.

Inputs

Name	Types	PassThrough	Description
node	RealFlow Node	out node	The node
spline	Spline		The spline

Outputs

Name	Types	PassThrough	Description
out node	PassThrough	node	The out node

Sin

This node is executed in parallel according to its input pins size.

Evaluates the sin-function.

Inputs

Name	Types	PassThrough	Description
in	Real	Optional result	The in

Outputs

Name	Types	PassThrough	Description
result	Real	Optional in	The result

SplineAddControlPoint

This node adds control points to the spline. The new control points are added at the end of the spline. If you want to insert control points at specific locations use the node "SplineInsertControlPoint".

Inputs

Name	Types	PassThrough	Description
spline	Spline (1)	out spline	The spline
position	Vector3		The position of the control point
handle in position	Vector3		The position of the control point handle in
handle out position	Vector3		The position of the control point handle out

Outputs

Name	Types	PassThrough	Description
out spline	PassThrough	spline	The out spline

SplineCreate

This node creates an empty spline inside the graph.

This way it is possible to use splines inside graphs without getting them from an existing node.

Outputs

Name	Types	PassThrough	Description
spline	Spline		The spline

SplineEvaluate

This node evaluates the spline at some specific location. The location is given as the index of the span and the normalized position inside that span.

Inputs

Name	Types	Description
spline	Spline (1)	The spline to evaluate
span	Integer (1)	The index of the span of the spline starting at 0
t	Real	The normalized position inside the span

Outputs

Name	Types	PassThrough	Description
point	Vector3		The point at the location

SplineGetControlPoint

This node gets the control points of the spline.

Inputs

Name	Types	PassThrough	Description
spline	Spline (1)		The spline

Outputs

Name	Types	Description
position	Vector3	The position of the control point.
handle in position	Vector3	The position of the control point handle in
handle out position	Vector3	The position of the control point handle out

SplineInsertControlPoint

This node inserts control points to the spline at some specific. The location is given as the index of the span and the normalized position inside that span.

Inputs

Name	Types	PassThrough	Description
spline	Spline (1)	out spline	The spline
span	Integer (1)		The index of the span of the spline starting at 0
t	Real		The normalized position inside the span

Outputs

Name	Types	PassThrough	Description
out spline	PassThrough	spline	The out spline

Sqrt

This node is executed in parallel according to its input pins size.

Computes the square root value of the input.

Inputs

Name	Types	PassThrough	Description
in	Numeric Real Integer Integer64	Optional result	Value to get the sqrt value of

Outputs

Name	Types	PassThrough	Description
result	Real	Optional in	Sqrt value of 'in'

Sub

This node is executed in parallel according to its input pins size.

Computes the substraction of the two input values.

Inputs

Name	Types	PassThrough	Description
in0	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional result	First operator
in1	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional result	Second operator

Outputs

Name	Types	PassThrough	Description
result	Numeric Integer Integer64 Real Vector3 Color4 ColorGradient Quaternion Matrix4	Optional in0 in1	Operation result

Tan

This node is executed in parallel according to its input pins size.

Evaluates the tan-function.

Inputs

Name	Types	PassThrough	Description
in	Real	Optional result	The in

Outputs

Name	Types	PassThrough	Description
result	Real	Optional in	The result

TrigonometricFunctions

This node is executed in parallel according to its input pins size.

Returns trigonometrical function of given input value.

Defined functions are:

cos, sin, tan, acos, asin, atan, cosh, sinh, tanh.

.

Inputs

Name	Types	PassThrough	Description
function	List cos sin tan acos asin atan cosh sinh tanh		The function
in	Real	Optional result	Input value for selected function

Outputs

Name	Types	PassThrough	Description
result	Real	Optional in	Result of the selected function (see below)

Vector3Angle

This node is executed in parallel according to its input pins size.

Computes the angle defined by the input vectors (in degrees).

Inputs

Name	Types	PassThrough	Description
vector0	Vector3		The vector0
vector1	Vector3		The vector1

Outputs

Name	Types	PassThrough	Description
angle	Real		The angle

Vector3AreParallel

This node is executed in parallel according to its input pins size.

Returns true, if both vectors are parallel, otherwise false.

Inputs

Name	Types	PassThrough	Description
vector0	Vector3		The vector0
vector1	Vector3		The vector1

Outputs

Name	Types	PassThrough	Description
bit	Bit		The bit

Vector3ArePerpendicular

This node is executed in parallel according to its input pins size.

Returns true, if both vectors are perpendicular, otherwise false.

Inputs

Name	Types	PassThrough	Description
vector0	Vector3		The vector0
vector1	Vector3		The vector1

Outputs

Name	Types	PassThrough	Description
bit	Bit		The bit

Vector3Cross

This node is executed in parallel according to its input pins size.

Computes the cross product of the input vectors.

Inputs

Name	Types	PassThrough	Description
vector0	Vector3	Optional cross	The vector0
vector1	Vector3	Optional cross	The vector1

Outputs

Name	Types	PassThrough	Description
cross	Vector3	Optional vector0 vector1	The cross

Vector3Distance

This node is executed in parallel according to its input pins size.

Computes the distance between the input vectors.

Inputs

Name	Types	PassThrough	Description
vector0	Vector3		The vector0
vector1	Vector3		The vector1

Outputs

Name	Types	PassThrough	Description
distance	Real		The distance

Vector3Dot

This node is executed in parallel according to its input pins size.

Computes the dot product of the input vectors.

Inputs

Name	Types	PassThrough	Description
vector0	Vector3		The vector0
vector1	Vector3		The vector1

Outputs

Name	Types	PassThrough	Description
dot	Real		The dot

Vector3Interpolate

This node is executed in parallel according to its input pins size.

Computes interpolated vector between the first and second vectors given by the blend value. If the clamp value is set, the result is clamped, otherwise not.

Inputs

Name	Types	PassThrough	Description
first	Vector3	Optional result	First value to be interpolated
second	Vector3	Optional result	Second Value to be interpolated
blend	Real		The blending value between first and second value
clamp	Bit		Determines if the values are clamped according to the first and second value

Outputs

Name	Types	PassThrough	Description
result	Vector3	Optional first second	The result

Vector3Length

This node is executed in parallel according to its input pins size.

Computes the module of the input 'vector'.

Inputs

Name	Types	PassThrough	Description
vector	Vector3		The vector

Outputs

Name	Types	PassThrough	Description
length	Real		The length

Vector3LengthSquared

This node is executed in parallel according to its input pins size.

Computes the squared length of the input vector.

Inputs

Name	Types	PassThrough	Description
vector	Vector3		The vector

Outputs

Name	Types	PassThrough	Description
length squared	Real		The length squared

Vector3Normalize

This node is executed in parallel according to its input pins size.

Computes a normalized copy of the input 'vector'.

Inputs

Name	Types	PassThrough	Description
vector	Vector3	Optional normalized	The vector

Outputs

Name	Types	PassThrough	Description
normalized	Vector3	Optional vector	The normalized

Vector3Project

This node is executed in parallel according to its input pins size.

Computes the projection of vector 0 onto vector 1.

Inputs

Name	Types	PassThrough	Description
vector0	Vector3	Optional projection	The vector0
vector1	Vector3	Optional projection	The vector1

Outputs

Name	Types	PassThrough	Description
projection	Vector3	Optional vector0 vector1	The projection

Vector3Reorder

This node is executed in parallel according to its input pins size.

Reorders the components of the input 'vector'.

Inputs

Name	Types	PassThrough	Description
vector	Vector3	Optional result	The vector
reorder	List (1) XZY YXZ YZX ZXY ZYX		The reorder

Outputs

Name	Types	PassThrough	Description
result	Vector3	Optional vector	The result