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Motion Paths

Move a block along a straight or curved path with vec2 position keyframes and spatial tangents.

A blue ball partway along its curve, a red dot partway across, and a green ball at the top of a hop, at 1.25 seconds

6 mins
estimated time
GitHub

position is a vec2 property. One .vec2 keyframe track moves the /x and /y properties of a block together, and spatial tangents curve the path between two keyframes. The editor has no motion path controls, so you set them with the block API.

This guide covers how to curve a path with spatial tangents, how to move in a straight line, how to read a path back, how a single-axis track changes one axis, and the errors to expect. It ends with a frame export.

Creating the Blocks#

The example draws its blocks as circles. A small local function creates each one on the page with a duration of 5 seconds.

// Creates a circle graphic of the given size and color on the page
func createCircle(size: Float, color: Color) throws -> DesignBlockID {
let block = try engine.block.create(.graphic)
try engine.block.setShape(block, shape: engine.block.createShape(.ellipse))
let fill = try engine.block.createFill(.color)
try engine.block.setColor(fill, property: "fill/color/value", color: color)
try engine.block.setFill(block, fill: fill)
try engine.block.setWidth(block, value: size)
try engine.block.setHeight(block, value: size)
try engine.block.appendChild(to: page, child: block)
try engine.block.setDuration(block, duration: 5)
return block
}

Curving a Path#

setKeyframes(_:property:keyframes:mode:) with .vec2 keyframes sets the path of a block. Both tangents of a segment sit on its first keyframe. spatialOut leaves that keyframe’s value and is relative to it. spatialIn enters the next keyframe’s value and is relative to that value. The last keyframe uses neither. The ball leaves its start straight up, enters the top of its arc from the left, leaves it to the right, and enters its end from above.

setVec2(_:property:value:) sets the static position, here at the start of the path, and getVec2(_:property:) reads it back. The keyframes replace the static position at every playback time.

// Both tangents of a segment sit on its first keyframe. `spatialOut` is
// relative to this keyframe's value, `spatialIn` to the next one's.
let ball = try createCircle(size: 80, color: .rgba(r: 0.2, g: 0.4, b: 0.9, a: 1))
try engine.block.setVec2(ball, property: "position", value: [200, 800])
try engine.block.setKeyframes(ball, property: "position", keyframes: [
Keyframe(time: 0, value: .vec2([200, 800]), spatialOut: [0, -400], spatialIn: [-400, 0]),
Keyframe(time: 0.5, value: .vec2([920, 300]), spatialOut: [400, 0], spatialIn: [0, -400]),
Keyframe(time: 1, value: .vec2([1640, 800])),
])
let ballPosition = try engine.block.getVec2(ball, property: "position")
print(ballPosition) // SIMD2<Float>(200.0, 800.0)

Moving in a Straight Line#

Keyframes without tangents move a block in a straight line between their values. The dot slides along the bottom of the page.

let dot = try createCircle(size: 40, color: .rgba(r: 0.9, g: 0.3, b: 0.4, a: 1))
try engine.block.setVec2(dot, property: "position", value: [200, 980])
try engine.block.setKeyframes(dot, property: "position", keyframes: [
Keyframe(time: 0, value: .vec2([200, 980])),
Keyframe(time: 1, value: .vec2([1680, 980])),
])

Reading the Path Back#

getKeyframes(_:property:) returns the keyframes of a property, sorted by time, with their tangents.

let keyframes = try engine.block.getKeyframes(ball, property: "position")
print(keyframes.count, keyframes[0].spatialOut as Any) // 3 Optional(SIMD2<Float>(0.0, -400.0))

Changing One Axis#

A position/x or position/y track with .float keyframes overrides that axis of a position track. The green ball moves right with its position track, while its position/y track makes it hop twice.

// The `position/y` track replaces the y-axis of the `position` track
let hopper = try createCircle(size: 60, color: .rgba(r: 0.2, g: 0.7, b: 0.3, a: 1))
try engine.block.setKeyframes(hopper, property: "position", keyframes: [
Keyframe(time: 0, value: .vec2([200, 100])),
Keyframe(time: 1, value: .vec2([1660, 100])),
])
try engine.block.setKeyframes(hopper, property: "position/y", keyframes: [
Keyframe(time: 0, value: .float(160)),
Keyframe(time: 0.25, value: .float(40)),
Keyframe(time: 0.5, value: .float(160)),
Keyframe(time: 0.75, value: .float(40)),
Keyframe(time: 1, value: .float(160)),
])

Handling Errors#

A failed setKeyframes(_:property:keyframes:mode:) throws an EngineError whose catalogCode names the cause. The track stays unchanged. A position track takes vec2 values only, and only a vec2 keyframe takes spatial tangents.

var valueKindErrorCode: EngineErrorCode?
do {
// A motion path takes vec2 values only
try engine.block.setKeyframes(ball, property: "position", keyframes: [Keyframe(time: 0, value: .float(0))])
} catch let error as EngineError {
valueKindErrorCode = error.catalogCode
print(valueKindErrorCode == .blockKeyframesValueKindMismatch) // true
}
var tangentErrorCode: EngineErrorCode?
do {
// A single axis takes no spatial tangents
try engine.block.setKeyframes(ball, property: "position/x", keyframes: [
Keyframe(time: 0, value: .float(0), spatialOut: [10, 0]),
])
} catch let error as EngineError {
tangentErrorCode = error.catalogCode
print(tangentErrorCode == .blockKeyframesSpatialTangentUnsupported) // true
}

Exporting a Frame#

We export the page as PNG at 1.25 seconds. The frame shows the blue ball on the rising part of its arc, the red dot a quarter of the way along the bottom, and the green ball at the top of its first hop.

// Export the frame at 1.25 seconds, while the ball climbs its path
try engine.block.setPlaybackTime(page, time: 1.25)
let pngData = try await engine.block.export(page, mimeType: .png)
print(!pngData.isEmpty) // true

Motion Paths and Other Block Operations#

  • Position keyframes are in design units, also when the position mode of the block is .percent.
  • Scaling the block or changing the design unit also converts its position keyframes.
  • A .relative position track adds its offsets to the static position, so the path moves with the block. For relative tracks and easing, see Keyframes.
  • shape/position places a subshape with the same vec2 keyframes and tangents.
  • When the engine enforces scopes, setting keyframes needs the appearance/animation scope. A position, position/x or position/y track also needs layer/move, and a shape/position track needs shape/change.

Troubleshooting#

  • The path does not take the values (EngineErrorCode.blockKeyframesValueKindMismatch): pass vec2 keyframes for position and shape/position.
  • The tangents are refused (EngineErrorCode.blockKeyframesSpatialTangentUnsupported): set spatialOut and spatialIn only on vec2 keyframes, not on position/x or position/y.
  • The block does not follow the curve: put both tangents of a segment on its first keyframe. A spatialIn on the last keyframe has no effect.
  • One axis ignores the path: a position/x or position/y track overrides that axis. Remove it to use the path on both axes.

API Reference#

Methods#

Method Description
engine.block.create(_:) Create a graphic block
engine.block.createShape(_:) Create the ellipse shape
engine.block.setShape(_:shape:) Give a graphic its shape
engine.block.createFill(_:) Create a color fill
engine.block.setColor(_:property:color:) Set the fill color
engine.block.setFill(_:fill:) Give a graphic its fill
engine.block.setWidth(_:value:) Set the width of a block
engine.block.setHeight(_:value:) Set the height of a block
engine.block.appendChild(to:child:) Add a block to the page
engine.block.setDuration(_:duration:) Set the duration that keyframe times refer to
engine.block.setKeyframes(_:property:keyframes:mode:) Set the path or a single-axis track
engine.block.getKeyframes(_:property:) Read the keyframes and tangents of a property
engine.block.setVec2(_:property:value:) Set the static position
engine.block.getVec2(_:property:) Read the static position
engine.block.setPlaybackTime(_:time:) Seek before you export a frame
engine.block.export(_:mimeType:options:onPreExport:uriResolver:onProgress:) Export the frame as PNG

Keyframe Fields#

Field Type Description
spatialOut SIMD2<Float>? Tangent that leaves this keyframe’s value, relative to it
spatialIn SIMD2<Float>? Tangent that enters the next keyframe’s value, relative to that value. It sits on this keyframe

Next Steps#