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modeling-app/docs/kcl/arrayReduce.md
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title, excerpt, layout
title excerpt layout
arrayReduce Take a starting value. Then, for each element of an array, calculate the next value, manual

Take a starting value. Then, for each element of an array, calculate the next value,

using the previous value and the element.

arrayReduce(array: [u64], start: SketchGroup, reduce_fn: FunctionParam) -> SketchGroup

Examples

fn decagon = (radius) => {
  let step = 1 / 10 * tau()
  let sketch = startSketchAt([cos(0) * radius, sin(0) * radius])
  return arrayReduce([1, 2, 3, 4, 5, 6, 7, 8, 9, 10], sketch, (i, sg) => {
  let x = cos(step * i) * radius
  let y = sin(step * i) * radius
  return lineTo([x, y], sg)
})
}
decagon(5.0)
  |> close(%)

Rendered example of arrayReduce 0

Arguments

  • array: [u64] (REQUIRED)
  • start: SketchGroup - A sketch group is a collection of paths. (REQUIRED)
{
	// The id of the sketch group (this will change when the engine's reference to it changes.
	id: uuid,
	// What the sketch is on (can be a plane or a face).
	on: {
	// The id of the plane.
	id: uuid,
	// Origin of the plane.
	origin: {
	x: number,
	y: number,
	z: number,
},
	type: "plane",
	// Type for a plane.
	value: "XY" | "XZ" | "YZ" | "Custom",
	// What should the planes X axis be?
	xAxis: {
	x: number,
	y: number,
	z: number,
},
	// What should the planes Y axis be?
	yAxis: {
	x: number,
	y: number,
	z: number,
},
	// The z-axis (normal).
	zAxis: {
	x: number,
	y: number,
	z: number,
},
} |
{
	// The extrude group the face is on.
	extrudeGroup: {
	// Chamfers or fillets on this extrude group.
	edgeCuts: [{
	// The engine id of the edge to fillet.
	edgeId: uuid,
	// The id of the engine command that called this fillet.
	id: uuid,
	radius: number,
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	type: "fillet",
} |
{
	// The engine id of the edge to chamfer.
	edgeId: uuid,
	// The id of the engine command that called this chamfer.
	id: uuid,
	length: number,
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	type: "chamfer",
}],
	// The id of the extrusion end cap
	endCapId: uuid,
	// The height of the extrude group.
	height: number,
	// The id of the extrude group.
	id: uuid,
	// The sketch group.
	sketchGroup: {
	// The id of the sketch group (this will change when the engine's reference to it changes.
	id: uuid,
	// What the sketch is on (can be a plane or a face).
	on: SketchSurface,
	// The starting path.
	start: {
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
},
	// Tag identifiers that have been declared in this sketch group.
	tags: {
},
	// The paths in the sketch group.
	value: [{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "ToPoint",
} |
{
	// arc's direction
	ccw: bool,
	// the arc's center
	center: [number, number],
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "TangentialArcTo",
} |
{
	// arc's direction
	ccw: bool,
	// the arc's center
	center: [number, number],
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "TangentialArc",
} |
{
	// arc's direction
	ccw: bool,
	// the arc's center
	center: [number, number],
	// The from point.
	from: [number, number],
	// the arc's radius
	radius: number,
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "Circle",
} |
{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "Horizontal",
	// The x coordinate.
	x: number,
} |
{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "AngledLineTo",
	// The x coordinate.
	x: number,
	// The y coordinate.
	y: number,
} |
{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "Base",
}],
},
	// The id of the extrusion start cap
	startCapId: uuid,
	// The extrude surfaces.
	value: [{
	// The face id for the extrude plane.
	faceId: uuid,
	// The id of the geometry.
	id: uuid,
	// The source range.
	sourceRange: [number, number],
	// The tag.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	type: "extrudePlane",
} |
{
	// The face id for the extrude plane.
	faceId: uuid,
	// The id of the geometry.
	id: uuid,
	// The source range.
	sourceRange: [number, number],
	// The tag.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	type: "extrudeArc",
} |
{
	// The id for the chamfer surface.
	faceId: uuid,
	// The id of the geometry.
	id: uuid,
	// The source range.
	sourceRange: [number, number],
	// The tag.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	type: "chamfer",
} |
{
	// The id for the fillet surface.
	faceId: uuid,
	// The id of the geometry.
	id: uuid,
	// The source range.
	sourceRange: [number, number],
	// The tag.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	type: "fillet",
}],
},
	// The id of the face.
	id: uuid,
	type: "face",
	// The tag of the face.
	value: string,
	// What should the faces X axis be?
	xAxis: {
	x: number,
	y: number,
	z: number,
},
	// What should the faces Y axis be?
	yAxis: {
	x: number,
	y: number,
	z: number,
},
	// The z-axis (normal).
	zAxis: {
	x: number,
	y: number,
	z: number,
},
},
	// The starting path.
	start: {
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
},
	// Tag identifiers that have been declared in this sketch group.
	tags: {
},
	// The paths in the sketch group.
	value: [{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "ToPoint",
} |
{
	// arc's direction
	ccw: bool,
	// the arc's center
	center: [number, number],
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "TangentialArcTo",
} |
{
	// arc's direction
	ccw: bool,
	// the arc's center
	center: [number, number],
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "TangentialArc",
} |
{
	// arc's direction
	ccw: bool,
	// the arc's center
	center: [number, number],
	// The from point.
	from: [number, number],
	// the arc's radius
	radius: number,
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "Circle",
} |
{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "Horizontal",
	// The x coordinate.
	x: number,
} |
{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "AngledLineTo",
	// The x coordinate.
	x: number,
	// The y coordinate.
	y: number,
} |
{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "Base",
}],
}
  • reduce_fn: FunctionParam (REQUIRED)

Returns

SketchGroup - A sketch group is a collection of paths.

{
	// The id of the sketch group (this will change when the engine's reference to it changes.
	id: uuid,
	// What the sketch is on (can be a plane or a face).
	on: {
	// The id of the plane.
	id: uuid,
	// Origin of the plane.
	origin: {
	x: number,
	y: number,
	z: number,
},
	type: "plane",
	// Type for a plane.
	value: "XY" | "XZ" | "YZ" | "Custom",
	// What should the planes X axis be?
	xAxis: {
	x: number,
	y: number,
	z: number,
},
	// What should the planes Y axis be?
	yAxis: {
	x: number,
	y: number,
	z: number,
},
	// The z-axis (normal).
	zAxis: {
	x: number,
	y: number,
	z: number,
},
} |
{
	// The extrude group the face is on.
	extrudeGroup: {
	// Chamfers or fillets on this extrude group.
	edgeCuts: [{
	// The engine id of the edge to fillet.
	edgeId: uuid,
	// The id of the engine command that called this fillet.
	id: uuid,
	radius: number,
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	type: "fillet",
} |
{
	// The engine id of the edge to chamfer.
	edgeId: uuid,
	// The id of the engine command that called this chamfer.
	id: uuid,
	length: number,
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	type: "chamfer",
}],
	// The id of the extrusion end cap
	endCapId: uuid,
	// The height of the extrude group.
	height: number,
	// The id of the extrude group.
	id: uuid,
	// The sketch group.
	sketchGroup: {
	// The id of the sketch group (this will change when the engine's reference to it changes.
	id: uuid,
	// What the sketch is on (can be a plane or a face).
	on: SketchSurface,
	// The starting path.
	start: {
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
},
	// Tag identifiers that have been declared in this sketch group.
	tags: {
},
	// The paths in the sketch group.
	value: [{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "ToPoint",
} |
{
	// arc's direction
	ccw: bool,
	// the arc's center
	center: [number, number],
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "TangentialArcTo",
} |
{
	// arc's direction
	ccw: bool,
	// the arc's center
	center: [number, number],
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "TangentialArc",
} |
{
	// arc's direction
	ccw: bool,
	// the arc's center
	center: [number, number],
	// The from point.
	from: [number, number],
	// the arc's radius
	radius: number,
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "Circle",
} |
{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "Horizontal",
	// The x coordinate.
	x: number,
} |
{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "AngledLineTo",
	// The x coordinate.
	x: number,
	// The y coordinate.
	y: number,
} |
{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "Base",
}],
},
	// The id of the extrusion start cap
	startCapId: uuid,
	// The extrude surfaces.
	value: [{
	// The face id for the extrude plane.
	faceId: uuid,
	// The id of the geometry.
	id: uuid,
	// The source range.
	sourceRange: [number, number],
	// The tag.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	type: "extrudePlane",
} |
{
	// The face id for the extrude plane.
	faceId: uuid,
	// The id of the geometry.
	id: uuid,
	// The source range.
	sourceRange: [number, number],
	// The tag.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	type: "extrudeArc",
} |
{
	// The id for the chamfer surface.
	faceId: uuid,
	// The id of the geometry.
	id: uuid,
	// The source range.
	sourceRange: [number, number],
	// The tag.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	type: "chamfer",
} |
{
	// The id for the fillet surface.
	faceId: uuid,
	// The id of the geometry.
	id: uuid,
	// The source range.
	sourceRange: [number, number],
	// The tag.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	type: "fillet",
}],
},
	// The id of the face.
	id: uuid,
	type: "face",
	// The tag of the face.
	value: string,
	// What should the faces X axis be?
	xAxis: {
	x: number,
	y: number,
	z: number,
},
	// What should the faces Y axis be?
	yAxis: {
	x: number,
	y: number,
	z: number,
},
	// The z-axis (normal).
	zAxis: {
	x: number,
	y: number,
	z: number,
},
},
	// The starting path.
	start: {
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
},
	// Tag identifiers that have been declared in this sketch group.
	tags: {
},
	// The paths in the sketch group.
	value: [{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "ToPoint",
} |
{
	// arc's direction
	ccw: bool,
	// the arc's center
	center: [number, number],
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "TangentialArcTo",
} |
{
	// arc's direction
	ccw: bool,
	// the arc's center
	center: [number, number],
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "TangentialArc",
} |
{
	// arc's direction
	ccw: bool,
	// the arc's center
	center: [number, number],
	// The from point.
	from: [number, number],
	// the arc's radius
	radius: number,
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "Circle",
} |
{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "Horizontal",
	// The x coordinate.
	x: number,
} |
{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "AngledLineTo",
	// The x coordinate.
	x: number,
	// The y coordinate.
	y: number,
} |
{
	// The from point.
	from: [number, number],
	// The tag of the path.
	tag: {
	digest: [number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number, number],
	end: number,
	start: number,
	value: string,
},
	// The to point.
	to: [number, number],
	type: "Base",
}],
}