[ Interactive Graph | Vector Graph ] PR1: Type Definitions and Schema

[SonicScrewdriver]

Summary

This PR was created with the help of AI, albeit with heavy oversight and review.

This is part of a series of PRs implementing the vector graph type for the Interactive Graph widget:

▶️ PR1 – type definitions and schema (this PR)
PR2 – state management
PR3 – rendering & accessibility
PR4 – scoring
PR5 – editor support

Issue: LEMS-3971

• Added type definitions and schema for the vector graph type
• Added the foundational type scaffolding needed to support a vector graph in the Interactive Graph widget. This is a pure additive change — no runtime behavior is altered and all existing tests continue to pass.

Changes:

• data-schema.ts — Adds PerseusGraphTypeVector (type: "vector", coords: CollinearTuple | null, startCoords: CollinearTuple) and VectorGraphCorrect, and includes both in the PerseusGraphType and PerseusGraphCorrectType unions. The shape matches PerseusGraphTypeRay — two coordinates representing tail and tip.
• interactive-graph-widget.ts — Adds parsePerseusGraphTypeVector and registers it with parsePerseusGraphType so the new type round-trips through the parser.
• types.ts — Adds VectorGraphState (type: "vector", coords: PairOfPoints) and adds it to the InteractiveGraphState union.
• Stubs out "vector" cases with throw new Error("Not implemented") in renderGraphElements (mafs-graph.tsx) and initializeGraphState (initialize-graph-state.ts), and returns "" in getEquationString (interactive-graph.tsx) to keep TypeScript exhaustiveness errors clear until subsequent PRs fill in the implementation.
• Adds "vector" to the mergeGraphs switch (interactive-graph-editor.tsx) and shouldShowStartCoordsUI (util.ts) to satisfy exhaustiveness checks in the editor.
• Adds "vector" cases in interactive-graph-ai-utils.ts (getGraphOptionsForProps and getUserInput), mafs-state-to-interactive-graph.ts (serialization), and interactive-graph-reducer.ts (movePointInFigure guard) for exhaustiveness.

Test plan:

• pnpm tsc — no new type errors
• pnpm lint — no lint errors
• No existing interactive graph tests regress

[claude]

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[github-actions]

🗄️ Schema Change: Changes Detected ⚠️

Usually this means you need to update the Go parser
that Content Platform maintains!!!
See this list of post-mortems for more information.

This PR contains critical changes to Perseus. Please review
the changes and note that you may need to coordinate
deployment of these changes with other teams at Khan Academy.

diff --unified /home/runner/work/_temp/branch-compare/base/schema.d.ts /home/runner/work/_temp/branch-compare/pr/schema.d.ts
--- /home/runner/work/_temp/branch-compare/base/schema.d.ts	2026-03-31 23:55:51.663260640 +0000
+++ /home/runner/work/_temp/branch-compare/pr/schema.d.ts	2026-03-31 23:55:36.970918662 +0000
@@ -648,7 +648,8 @@
     | PerseusGraphTypeSegment
     | PerseusGraphTypeSinusoid
     | PerseusGraphTypeExponential
-    | PerseusGraphTypeTangent;
+    | PerseusGraphTypeTangent
+    | PerseusGraphTypeVector;
   export type PerseusGraphTypeAngle = {
     type: "angle";
     showAngles?: boolean;
@@ -738,6 +739,11 @@
     coords?: CollinearTuple | null;
     startCoords?: CollinearTuple;
   };
+  export type PerseusGraphTypeVector = {
+    type: "vector";
+    coords?: CollinearTuple | null;
+    startCoords?: CollinearTuple;
+  };
   type AbsoluteValueGraphCorrect = {
     type: "absolute-value";
     coords: [Coord, Coord];
@@ -798,6 +804,10 @@
     type: "ray";
     coords: CollinearTuple;
   };
+  type VectorGraphCorrect = {
+    type: "vector";
+    coords: CollinearTuple;
+  };
   export type PerseusGraphCorrectType =
     | AbsoluteValueGraphCorrect
     | AngleGraphCorrect
@@ -812,7 +822,8 @@
     | SegmentGraphCorrect
     | SinusoidGraphCorrect
     | ExponentialGraphCorrect
-    | TangentGraphCorrect;
+    | TangentGraphCorrect
+    | VectorGraphCorrect;
   export type PerseusLabelImageWidgetOptions = {
     choices: string[];
     imageUrl: string;

[github-actions]

Size Change: +127 B (+0.03%)

Total Size: 495 kB

Filename	Size	Change
packages/perseus-core/dist/es/index.item-splitting.js	11.9 kB	+17 B (+0.14%)
packages/perseus-core/dist/es/index.js	25.1 kB	+19 B (+0.08%)
packages/perseus-editor/dist/es/index.js	101 kB	+14 B (+0.01%)
packages/perseus/dist/es/index.js	193 kB	+77 B (+0.04%)

ℹ️ View Unchanged

Filename	Size
packages/kas/dist/es/index.js	20.5 kB
packages/keypad-context/dist/es/index.js	1 kB
packages/kmath/dist/es/index.js	6.21 kB
packages/math-input/dist/es/index.js	98.5 kB
packages/math-input/dist/es/strings.js	1.61 kB
packages/perseus-linter/dist/es/index.js	9.3 kB
packages/perseus-score/dist/es/index.js	9.66 kB
packages/perseus-utils/dist/es/index.js	403 B
packages/perseus/dist/es/strings.js	8.09 kB
packages/pure-markdown/dist/es/index.js	1.39 kB
packages/simple-markdown/dist/es/index.js	6.71 kB

_{compressed-size-action}

[github-actions]

🛠️ Item Splitting: Changes Detected ⚠️

Usually this means you need to update the Go parser
that Content Platform maintains!!!
See this list of post-mortems for more information.

This PR contains critical changes to Perseus. Please review
the changes and note that you may need to coordinate
deployment of these changes with other teams at Khan Academy.

diff --unified /home/runner/work/_temp/branch-compare/base/index.item-splitting.js /home/runner/work/_temp/branch-compare/pr/index.item-splitting.js
--- /home/runner/work/_temp/branch-compare/base/index.item-splitting.js	2026-03-31 23:56:18.502092893 +0000
+++ /home/runner/work/_temp/branch-compare/pr/index.item-splitting.js	2026-03-31 23:55:51.382976917 +0000
@@ -100,7 +100,7 @@
 
 const lockedFigureColorNames=["blue","green","grayH","purple","pink","orange","red"];const plotterPlotTypes=["bar","line","pic","histogram","dotplot"];
 
-const pairOfNumbers=pair(number,number);const parsePerseusGraphTypeAngle=object({type:constant("angle"),showAngles:optional(boolean),allowReflexAngles:optional(boolean),angleOffsetDeg:optional(number),snapDegrees:optional(number),match:optional(constant("congruent")),coords:optional(trio(pairOfNumbers,pairOfNumbers,pairOfNumbers)),startCoords:optional(trio(pairOfNumbers,pairOfNumbers,pairOfNumbers))});const parsePerseusGraphTypeCircle=object({type:constant("circle"),center:optional(pairOfNumbers),radius:optional(number),startCoords:optional(object({center:pairOfNumbers,radius:number}))});const parsePerseusGraphTypeLinear=object({type:constant("linear"),coords:optional(nullable(pair(pairOfNumbers,pairOfNumbers))),startCoords:optional(pair(pairOfNumbers,pairOfNumbers))});const parsePerseusGraphTypeLinearSystem=object({type:constant("linear-system"),coords:optional(nullable(array(pair(pairOfNumbers,pairOfNumbers)))),startCoords:optional(array(pair(pairOfNumbers,pairOfNumbers)))});const parsePerseusGraphTypeNone=object({type:constant("none")});const parsePerseusGraphTypePoint=object({type:constant("point"),numPoints:optional(union(number).or(constant("unlimited")).parser),coords:optional(nullable(array(pairOfNumbers))),startCoords:optional(array(pairOfNumbers)),coord:optional(pairOfNumbers)});const parsePerseusGraphTypePolygon=object({type:constant("polygon"),numSides:optional(union(number).or(constant("unlimited")).parser),showAngles:optional(boolean),showSides:optional(boolean),snapTo:optional(enumeration("grid","angles","sides")),match:optional(enumeration("similar","congruent","approx","exact")),startCoords:optional(array(pairOfNumbers)),coords:optional(nullable(array(pairOfNumbers)))});const parsePerseusGraphTypeQuadratic=object({type:constant("quadratic"),coords:optional(nullable(trio(pairOfNumbers,pairOfNumbers,pairOfNumbers))),startCoords:optional(trio(pairOfNumbers,pairOfNumbers,pairOfNumbers))});const parsePerseusGraphTypeRay=object({type:constant("ray"),coords:optional(nullable(pair(pairOfNumbers,pairOfNumbers))),startCoords:optional(pair(pairOfNumbers,pairOfNumbers))});const parsePerseusGraphTypeSegment=object({type:constant("segment"),numSegments:optional(number),coords:optional(nullable(array(pair(pairOfNumbers,pairOfNumbers)))),startCoords:optional(array(pair(pairOfNumbers,pairOfNumbers)))});const parsePerseusGraphTypeSinusoid=object({type:constant("sinusoid"),coords:optional(nullable(array(pairOfNumbers))),startCoords:optional(array(pairOfNumbers))});const parsePerseusGraphTypeExponential=object({type:constant("exponential"),coords:optional(nullable(array(pairOfNumbers))),asymptote:optional(nullable(number)),startCoords:optional(object({coords:pair(pairOfNumbers,pairOfNumbers),asymptote:number}))});const parsePerseusGraphTypeAbsoluteValue=object({type:constant("absolute-value"),coords:optional(nullable(pair(pairOfNumbers,pairOfNumbers))),startCoords:optional(pair(pairOfNumbers,pairOfNumbers))});const parsePerseusGraphTypeTangent=object({type:constant("tangent"),coords:optional(nullable(array(pairOfNumbers))),startCoords:optional(array(pairOfNumbers))});const parsePerseusGraphType=discriminatedUnionOn("type").withBranch("absolute-value",parsePerseusGraphTypeAbsoluteValue).withBranch("angle",parsePerseusGraphTypeAngle).withBranch("circle",parsePerseusGraphTypeCircle).withBranch("exponential",parsePerseusGraphTypeExponential).withBranch("linear",parsePerseusGraphTypeLinear).withBranch("linear-system",parsePerseusGraphTypeLinearSystem).withBranch("none",parsePerseusGraphTypeNone).withBranch("point",parsePerseusGraphTypePoint).withBranch("polygon",parsePerseusGraphTypePolygon).withBranch("quadratic",parsePerseusGraphTypeQuadratic).withBranch("ray",parsePerseusGraphTypeRay).withBranch("segment",parsePerseusGraphTypeSegment).withBranch("sinusoid",parsePerseusGraphTypeSinusoid).withBranch("tangent",parsePerseusGraphTypeTangent).parser;const parseLockedFigureColor=enumeration(...lockedFigureColorNames);const parseLockedFigureFillType=enumeration("none","white","translucent","solid");const parseLockedLineStyle=enumeration("solid","dashed");const parseStrokeWeight=defaulted(enumeration("medium","thin","thick"),()=>"medium");const parseLockedLabelType=object({type:constant("label"),coord:pairOfNumbers,text:string,color:parseLockedFigureColor,size:enumeration("small","medium","large")});const parseLockedPointType=object({type:constant("point"),coord:pairOfNumbers,color:parseLockedFigureColor,filled:boolean,labels:defaulted(array(parseLockedLabelType),()=>[]),ariaLabel:optional(string)});const parseLockedLineType=object({type:constant("line"),kind:enumeration("line","ray","segment"),points:pair(parseLockedPointType,parseLockedPointType),color:parseLockedFigureColor,lineStyle:parseLockedLineStyle,showPoint1:defaulted(boolean,()=>false),showPoint2:defaulted(boolean,()=>false),weight:parseStrokeWeight,labels:defaulted(array(parseLockedLabelType),()=>[]),ariaLabel:optional(string)});const parseLockedVectorType=object({type:constant("vector"),points:pair(pairOfNumbers,pairOfNumbers),color:parseLockedFigureColor,weight:parseStrokeWeight,labels:defaulted(array(parseLockedLabelType),()=>[]),ariaLabel:optional(string)});const parseLockedEllipseType=object({type:constant("ellipse"),center:pairOfNumbers,radius:pairOfNumbers,angle:number,color:parseLockedFigureColor,fillStyle:parseLockedFigureFillType,strokeStyle:parseLockedLineStyle,weight:parseStrokeWeight,labels:defaulted(array(parseLockedLabelType),()=>[]),ariaLabel:optional(string)});const parseLockedPolygonType=object({type:constant("polygon"),points:array(pairOfNumbers),color:parseLockedFigureColor,showVertices:boolean,fillStyle:parseLockedFigureFillType,strokeStyle:parseLockedLineStyle,weight:parseStrokeWeight,labels:defaulted(array(parseLockedLabelType),()=>[]),ariaLabel:optional(string)});const parseLockedFunctionDomain=defaulted(pair(defaulted(number,()=>-Infinity),defaulted(number,()=>Infinity)),()=>[-Infinity,Infinity]);const parseLockedFunctionType=object({type:constant("function"),color:parseLockedFigureColor,strokeStyle:parseLockedLineStyle,weight:parseStrokeWeight,equation:string,directionalAxis:enumeration("x","y"),domain:parseLockedFunctionDomain,labels:defaulted(array(parseLockedLabelType),()=>[]),ariaLabel:optional(string)});const parseLockedFigure=discriminatedUnionOn("type").withBranch("point",parseLockedPointType).withBranch("line",parseLockedLineType).withBranch("vector",parseLockedVectorType).withBranch("ellipse",parseLockedEllipseType).withBranch("polygon",parseLockedPolygonType).withBranch("function",parseLockedFunctionType).withBranch("label",parseLockedLabelType).parser;const parseLabelLocation=union(enumeration("onAxis","alongEdge")).or(pipeParsers(constant("")).then(convert(()=>"onAxis")).parser).parser;const parseInteractiveGraphWidget=parseWidget(constant("interactive-graph"),object({step:pairOfNumbers,gridStep:optional(pairOfNumbers),snapStep:optional(pairOfNumbers),backgroundImage:optional(parsePerseusImageBackground),markings:enumeration("graph","grid","none","axes"),labels:optional(array(string)),labelLocation:optional(parseLabelLocation),showProtractor:boolean,showRuler:optional(boolean),showTooltips:optional(boolean),rulerLabel:optional(string),rulerTicks:optional(number),range:pair(pairOfNumbers,pairOfNumbers),showAxisArrows:defaulted(object({xMin:boolean,xMax:boolean,yMin:boolean,yMax:boolean}),()=>({xMin:true,xMax:true,yMin:true,yMax:true})),graph:defaulted(parsePerseusGraphType,()=>({type:"linear"})),correct:defaulted(parsePerseusGraphType,()=>({type:"linear"})),lockedFigures:defaulted(array(parseLockedFigure),()=>[]),fullGraphAriaLabel:optional(string),fullGraphAriaDescription:optional(string)}));
+const pairOfNumbers=pair(number,number);const parsePerseusGraphTypeAngle=object({type:constant("angle"),showAngles:optional(boolean),allowReflexAngles:optional(boolean),angleOffsetDeg:optional(number),snapDegrees:optional(number),match:optional(constant("congruent")),coords:optional(trio(pairOfNumbers,pairOfNumbers,pairOfNumbers)),startCoords:optional(trio(pairOfNumbers,pairOfNumbers,pairOfNumbers))});const parsePerseusGraphTypeCircle=object({type:constant("circle"),center:optional(pairOfNumbers),radius:optional(number),startCoords:optional(object({center:pairOfNumbers,radius:number}))});const parsePerseusGraphTypeLinear=object({type:constant("linear"),coords:optional(nullable(pair(pairOfNumbers,pairOfNumbers))),startCoords:optional(pair(pairOfNumbers,pairOfNumbers))});const parsePerseusGraphTypeLinearSystem=object({type:constant("linear-system"),coords:optional(nullable(array(pair(pairOfNumbers,pairOfNumbers)))),startCoords:optional(array(pair(pairOfNumbers,pairOfNumbers)))});const parsePerseusGraphTypeNone=object({type:constant("none")});const parsePerseusGraphTypePoint=object({type:constant("point"),numPoints:optional(union(number).or(constant("unlimited")).parser),coords:optional(nullable(array(pairOfNumbers))),startCoords:optional(array(pairOfNumbers)),coord:optional(pairOfNumbers)});const parsePerseusGraphTypePolygon=object({type:constant("polygon"),numSides:optional(union(number).or(constant("unlimited")).parser),showAngles:optional(boolean),showSides:optional(boolean),snapTo:optional(enumeration("grid","angles","sides")),match:optional(enumeration("similar","congruent","approx","exact")),startCoords:optional(array(pairOfNumbers)),coords:optional(nullable(array(pairOfNumbers)))});const parsePerseusGraphTypeQuadratic=object({type:constant("quadratic"),coords:optional(nullable(trio(pairOfNumbers,pairOfNumbers,pairOfNumbers))),startCoords:optional(trio(pairOfNumbers,pairOfNumbers,pairOfNumbers))});const parsePerseusGraphTypeRay=object({type:constant("ray"),coords:optional(nullable(pair(pairOfNumbers,pairOfNumbers))),startCoords:optional(pair(pairOfNumbers,pairOfNumbers))});const parsePerseusGraphTypeSegment=object({type:constant("segment"),numSegments:optional(number),coords:optional(nullable(array(pair(pairOfNumbers,pairOfNumbers)))),startCoords:optional(array(pair(pairOfNumbers,pairOfNumbers)))});const parsePerseusGraphTypeSinusoid=object({type:constant("sinusoid"),coords:optional(nullable(array(pairOfNumbers))),startCoords:optional(array(pairOfNumbers))});const parsePerseusGraphTypeExponential=object({type:constant("exponential"),coords:optional(nullable(array(pairOfNumbers))),asymptote:optional(nullable(number)),startCoords:optional(object({coords:pair(pairOfNumbers,pairOfNumbers),asymptote:number}))});const parsePerseusGraphTypeAbsoluteValue=object({type:constant("absolute-value"),coords:optional(nullable(pair(pairOfNumbers,pairOfNumbers))),startCoords:optional(pair(pairOfNumbers,pairOfNumbers))});const parsePerseusGraphTypeTangent=object({type:constant("tangent"),coords:optional(nullable(array(pairOfNumbers))),startCoords:optional(array(pairOfNumbers))});const parsePerseusGraphTypeVector=object({type:constant("vector"),coords:optional(nullable(pair(pairOfNumbers,pairOfNumbers))),startCoords:optional(pair(pairOfNumbers,pairOfNumbers))});const parsePerseusGraphType=discriminatedUnionOn("type").withBranch("absolute-value",parsePerseusGraphTypeAbsoluteValue).withBranch("angle",parsePerseusGraphTypeAngle).withBranch("circle",parsePerseusGraphTypeCircle).withBranch("exponential",parsePerseusGraphTypeExponential).withBranch("linear",parsePerseusGraphTypeLinear).withBranch("linear-system",parsePerseusGraphTypeLinearSystem).withBranch("none",parsePerseusGraphTypeNone).withBranch("point",parsePerseusGraphTypePoint).withBranch("polygon",parsePerseusGraphTypePolygon).withBranch("quadratic",parsePerseusGraphTypeQuadratic).withBranch("ray",parsePerseusGraphTypeRay).withBranch("segment",parsePerseusGraphTypeSegment).withBranch("sinusoid",parsePerseusGraphTypeSinusoid).withBranch("tangent",parsePerseusGraphTypeTangent).withBranch("vector",parsePerseusGraphTypeVector).parser;const parseLockedFigureColor=enumeration(...lockedFigureColorNames);const parseLockedFigureFillType=enumeration("none","white","translucent","solid");const parseLockedLineStyle=enumeration("solid","dashed");const parseStrokeWeight=defaulted(enumeration("medium","thin","thick"),()=>"medium");const parseLockedLabelType=object({type:constant("label"),coord:pairOfNumbers,text:string,color:parseLockedFigureColor,size:enumeration("small","medium","large")});const parseLockedPointType=object({type:constant("point"),coord:pairOfNumbers,color:parseLockedFigureColor,filled:boolean,labels:defaulted(array(parseLockedLabelType),()=>[]),ariaLabel:optional(string)});const parseLockedLineType=object({type:constant("line"),kind:enumeration("line","ray","segment"),points:pair(parseLockedPointType,parseLockedPointType),color:parseLockedFigureColor,lineStyle:parseLockedLineStyle,showPoint1:defaulted(boolean,()=>false),showPoint2:defaulted(boolean,()=>false),weight:parseStrokeWeight,labels:defaulted(array(parseLockedLabelType),()=>[]),ariaLabel:optional(string)});const parseLockedVectorType=object({type:constant("vector"),points:pair(pairOfNumbers,pairOfNumbers),color:parseLockedFigureColor,weight:parseStrokeWeight,labels:defaulted(array(parseLockedLabelType),()=>[]),ariaLabel:optional(string)});const parseLockedEllipseType=object({type:constant("ellipse"),center:pairOfNumbers,radius:pairOfNumbers,angle:number,color:parseLockedFigureColor,fillStyle:parseLockedFigureFillType,strokeStyle:parseLockedLineStyle,weight:parseStrokeWeight,labels:defaulted(array(parseLockedLabelType),()=>[]),ariaLabel:optional(string)});const parseLockedPolygonType=object({type:constant("polygon"),points:array(pairOfNumbers),color:parseLockedFigureColor,showVertices:boolean,fillStyle:parseLockedFigureFillType,strokeStyle:parseLockedLineStyle,weight:parseStrokeWeight,labels:defaulted(array(parseLockedLabelType),()=>[]),ariaLabel:optional(string)});const parseLockedFunctionDomain=defaulted(pair(defaulted(number,()=>-Infinity),defaulted(number,()=>Infinity)),()=>[-Infinity,Infinity]);const parseLockedFunctionType=object({type:constant("function"),color:parseLockedFigureColor,strokeStyle:parseLockedLineStyle,weight:parseStrokeWeight,equation:string,directionalAxis:enumeration("x","y"),domain:parseLockedFunctionDomain,labels:defaulted(array(parseLockedLabelType),()=>[]),ariaLabel:optional(string)});const parseLockedFigure=discriminatedUnionOn("type").withBranch("point",parseLockedPointType).withBranch("line",parseLockedLineType).withBranch("vector",parseLockedVectorType).withBranch("ellipse",parseLockedEllipseType).withBranch("polygon",parseLockedPolygonType).withBranch("function",parseLockedFunctionType).withBranch("label",parseLockedLabelType).parser;const parseLabelLocation=union(enumeration("onAxis","alongEdge")).or(pipeParsers(constant("")).then(convert(()=>"onAxis")).parser).parser;const parseInteractiveGraphWidget=parseWidget(constant("interactive-graph"),object({step:pairOfNumbers,gridStep:optional(pairOfNumbers),snapStep:optional(pairOfNumbers),backgroundImage:optional(parsePerseusImageBackground),markings:enumeration("graph","grid","none","axes"),labels:optional(array(string)),labelLocation:optional(parseLabelLocation),showProtractor:boolean,showRuler:optional(boolean),showTooltips:optional(boolean),rulerLabel:optional(string),rulerTicks:optional(number),range:pair(pairOfNumbers,pairOfNumbers),showAxisArrows:defaulted(object({xMin:boolean,xMax:boolean,yMin:boolean,yMax:boolean}),()=>({xMin:true,xMax:true,yMin:true,yMax:true})),graph:defaulted(parsePerseusGraphType,()=>({type:"linear"})),correct:defaulted(parsePerseusGraphType,()=>({type:"linear"})),lockedFigures:defaulted(array(parseLockedFigure),()=>[]),fullGraphAriaLabel:optional(string),fullGraphAriaDescription:optional(string)}));
 
 const parseLabelImageWidget=parseWidget(constant("label-image"),object({choices:array(string),imageUrl:string,imageAlt:string,imageHeight:number,imageWidth:number,markers:array(object({answers:defaulted(array(string),()=>[]),label:string,x:number,y:number})),hideChoicesFromInstructions:boolean,multipleAnswers:boolean,static:defaulted(boolean,()=>false)}));
 

[github-actions]

npm Snapshot: Published

Good news!! We've packaged up the latest commit from this PR (86bb5dd) and published it to npm. You
can install it using the tag PR3433.

Example:

pnpm add @khanacademy/perseus@PR3433

If you are working in Khan Academy's frontend, you can run the below command.

./dev/tools/bump_perseus_version.ts -t PR3433

If you are working in Khan Academy's webapp, you can run the below command.

./dev/tools/bump_perseus_version.js -t PR3433