Depence R4
  • Depence R4 Documentation
  • Getting Started
    • Installation
      • Update
      • Start Options
    • Projects
    • System Requirements
    • Graphics Hardware
  • Program Overview
    • Workspaces
    • Windows
    • Supported File Formats
      • Supported 3D-Model Import Formats
      • Supported Image / Texture Formats
    • Camera & Navigation
    • Render Views
      • Quad View
      • Background Image
    • Shortcuts
    • Fixture Manager
    • Auto Backup
  • Construction
    • Scene Graph & Grouping
      • 3D Hierarchy Filters
      • Group Objects
    • Object Extensions
      • Depending Visibility
      • Spline Arrange
      • Reflector
    • Layers
    • Editor Tools
      • Selection
      • Move Objects
      • Rotate Objects
      • Transformation
      • CAD Editor Snapping
    • Splines
      • Draw a Spline
      • Circle Spline
      • Rectangle Spline
      • Star Spline
      • Formular Spline
    • Nurbs
    • Add Fixtures and Objects
      • Fixture Hang Tool
    • Connect Dependencies
      • Manual Connect
      • Distributors
      • Auto Connect
      • Disconnect
    • Terrain
      • Terrain Sculpting Tool
      • Terrain Painting Tool
      • Terrain Mass Placement Tool
    • Atmosphere
    • Crowds
    • Import 3D Models
      • Tips & Tricks for 3D modeling
    • Arealights
    • Materials
      • PBR Material
        • DMX Control
        • DMX Matrix
        • Chroma-Key
      • Water Material
      • Video-Wall Material
    • Video Sources
      • Camera Video Source
      • Media-Player
      • NDI Video Source
    • My Library
    • Fixtures
      • Lighting Fixtures Settings
      • Modular Fixtures
      • DMX Motors
      • Channel Patch
      • Patching and Multiple DMX Address
      • Replace a fixture by another one
    • Laser
      • Connect Pangolin Beyond
      • Connect Lasergraph DSP
    • Firework
      • Firework by DMX
      • Timeline workflow
        • Alignment
        • Arrange Events
        • Stepper
        • Spline-Positions
      • Build custom Effects
        • Generic Firework Objects
        • Shell
        • Stars
        • Tail
        • Crackle
        • Cake Box
    • Decals
    • MVR
    • Drones
  • Show & Animation
    • Selection Groups
    • Schematic Views
    • Repository
      • Team Management
      • Scenes
        • Scene Fade / Delay Path
      • Audio & Video Files
      • Sequences
      • Playlists
      • MsgCues
      • Scripts
      • Profiles
      • Virtual Masters
    • Programmer
      • Table View
      • Full Open
      • Release/Clear
      • Value Editors
        • Value
        • Position
        • Color Mix
        • Effects
          • Wave FX
          • Color FX
          • Position FX
      • Panorama Alignment
      • Post Selection
      • Store a Scene
      • Palettes
        • Store values in Palette
        • Use a Palette
        • Edit Palette Values
    • Selection Tool
    • Show Sequencer
      • Track Types
        • Repository Scene Track
        • Any Scene Track
        • Fixture Group Tracks
        • Sequence Track
        • Audio Track
        • Video Track
        • DMX-Stream Track
        • MsgCue Track
        • Script Track
        • Multimedia Stream Track
        • Master Track
        • Speed Master Track
        • Intensity Master Track
        • Parameter Tracks
        • Marker Track
        • OSC Track
        • OSC Track
      • Editor
      • Scene Event - Blocks
      • Loop Region
      • Keyframe Animations
        • Easing Options
        • Spline Mode
        • Rail Rotation
      • Camera Animation
      • Sequencer Settings
      • Automatic Light Control (ALC)
      • Using MIDI keyboard.
  • Rendering
    • Video Rendering
      • Render H.264
      • Render Image Sequence
      • Physics and Framerates
      • Synchronize Pangolin Beyond for Video Rendering
    • Image Rendering
      • Long Exposure Rendering
    • Render Settings
      • Scene
      • Lighting
      • Laser Render Settings
      • Fountain
      • Post-FX
    • Virtual Reality
  • Plot & Documentation
  • Hardware & Control
    • Connect to vServer or vNano/wecs
    • Connect a Console
    • Modules
      • NDI
      • Logic Module
        • Logic Module Items
          • External Devices
          • Tools
          • Events
          • Outputs
          • Conditions
          • Inputs
          • Status
          • Tracker
          • Transformation
          • Converter
          • Container
          • Logic Test
          • Syncro Cloud
        • Group Items on a Group Panel
        • Connect a digital Wind Anemometer
        • Connect an analog Wind-Anemometer to a v:Server
        • Routing different DMX universes to the 4 XLR outputs of the vServer
        • Connection example for recording DMX values via the 4 DMX XLR connectors of the vServer.
        • Assign DMX universes to different ArtNet nodes or other Devices.
      • Scheduler
        • Day Schedule
        • Week Schedule
        • Year Schedule
      • ModBus
      • Synchronization
      • Viz-Key
        • Install Viz-Key Driver
        • Connect Depence to a grandMA3 session
        • Potential Issues and Limitations
      • vServer Test Period
    • Live-Panel
    • Scripting
    • Editing the scheduler with the additional 'ShowOrganizer' program
  • Tips & Tricks
    • Network Settings
    • How to use a DeskDough?
    • Using Variables
    • How to export MVR to grandMA3
    • Control Atmosphere by DMX
    • Camera Remote Control
    • Log files
  • Performance
    • Scene Organization
    • Lighting
    • Other optimizations
  • Release Notes
    • Version 4.0.5
    • Version 4.0.0
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On this page
  • Formular Spline Properties
  • Available operators and functions
  • Examples
  • Hyperbolic Spiral
  • Epizycloide
  • Rect
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  1. Construction
  2. Splines

Formular Spline

PreviousStar SplineNextNurbs

This tool will create a formular spline. Select the Formular Spline tool on the left toolbar.

  1. Click with your left mouse button on the position where the spline should be centered.

  2. Depence will create the Spline on this position.

Formular Spline Properties

x(t), y(t), z(t)

Equations on (t) for each Axis.

t-Min, t-Max

Specified the definition range.

Samples

Amount of interpolation points.

Available operators and functions

+ - * / ( ) %

Basic mathematical operators.

Abs(a)

Returns the absolute value of a specified number.

Acos(a)

Returns the angle whose cosine is the specified number.

Asin(a)

Returns the angle whose sine is the specified number.

Atan(a)

Returns the angle whose tangent is the specified number.

Ceiling(a)

Returns the smallest integer greater or equal to the specified number.

Cos(a)

Returns the cosine of the specified angle.

Exp(a)

Returns e raised to the specified power.

Floor(a)

Returns the largest integer less than or equal to the specified number.

Log(a, b)

Returns the logarithm of the specified number.

Log10(a)

Returns the base 10 logarithm of a specified number.

Max(a, b)

Returns the larger of two specified numbers.

Min(a, b)

Returns the smaller of two numbers.

Pow(a, b)

Returns a specified number raised to the specified power.

Round(a)

Rounds a value to the nearest integer or specified number of decimal places.

Sign(a)

Returns a value indicating the sign of a number.

Sin(a)

Returns the sine of the specified angle.

Sqrt(a)

Returns the square root of a specified number.

Tan(a)

Returns the tangent of the specified angle.

Truncate(a)

Calculates the integral part of a number.

if(condition, true-part, false-part)

Returns a value based on a condition Example: if(t > 0, 50, -50)

Examples

Hyperbolic Spiral

X(t) = (100 * Cos(t * PI)) / t Y(t) = 0.0 Z(t) = (100 * Sin(t*PI)) / t t-Min = 1.0 t-Max = 5.0 Samples = 50

Epizycloide

X(t) = (90 +30) * Cos(t * PI) - 40 * Cos(((90 + 30) / 30) * t * PI) Y(t) = 0.0 Z(t) = (90 + 30) * Sin(t * PI) - 40 * Sin(((90 + 30) / 30) * t * PI) t-Min = 1.0 t-Max = 3.0 Samples = 65

Rect

X(t) = 100 * t Y(t) = 0.0 Z(t) = if(t % 1.0 > 0.5, 0.0, 100.0) t-Min = 0.0 t-Max = 5.0 Samples = 80