[Interactive Graph] Add logarithm graph state management and reducer

.changeset/eight-stingrays-drum.md

@@ -0,0 +1,5 @@
+---
+"@khanacademy/perseus": minor
+---
+
+Add logarithm graph state management and reducer for supporting Logarithm graph in Interactive Graph

packages/perseus/src/widgets/interactive-graphs/interactive-graph-question-builder.ts

@@ -355,6 +355,16 @@ class InteractiveGraphQuestionBuilder {
         return this;
     }
 
+    withLogarithm(options?: {
+        coords?: [Coord, Coord];
+        asymptote?: number;
+        startCoords?: [Coord, Coord];
+        startAsymptote?: number;
+    }): InteractiveGraphQuestionBuilder {
+        this.interactiveFigureConfig = new LogarithmGraphConfig(options);
+        return this;
+    }
+
     withAbsoluteValue(options?: {
         coords?: [Coord, Coord];
         startCoords?: [Coord, Coord];
@@ -864,6 +874,46 @@ class ExponentialGraphConfig implements InteractiveFigureConfig {
     }
 }
 
+class LogarithmGraphConfig implements InteractiveFigureConfig {
+    private coords?: [Coord, Coord];
+    private asymptote?: number;
+    private startCoords?: [Coord, Coord];
+    private startAsymptote?: number;
+
+    constructor(options?: {
+        coords?: [Coord, Coord];
+        asymptote?: number;
+        startCoords?: [Coord, Coord];
+        startAsymptote?: number;
+    }) {
+        this.coords = options?.coords;
+        this.asymptote = options?.asymptote;
+        this.startCoords = options?.startCoords;
+        this.startAsymptote = options?.startAsymptote;
+    }
+
+    correct(): PerseusGraphType {
+        return {
+            type: "logarithm",
+            coords: this.coords,
+            asymptote: this.asymptote,
+        };
+    }
+
+    graph(): PerseusGraphType {
+        return {
+            type: "logarithm",
+            startCoords:
+                this.startCoords != null
+                    ? {
+                          coords: this.startCoords,
+                          asymptote: this.startAsymptote ?? 0,
+                      }
+                    : undefined,
+        };
+    }
+}
+
 class TangentGraphConfig implements InteractiveFigureConfig {
     private coords?: [Coord, Coord];
     private startCoords?: [Coord, Coord];

packages/perseus/src/widgets/interactive-graphs/interactive-graph.test.tsx

@@ -62,6 +62,8 @@ import {
     sinusoidQuestionWithDefaultCorrect,
     tangentQuestion,
     tangentQuestionWithDefaultCorrect,
+    logarithmQuestion,
+    logarithmQuestionWithDefaultCorrect,
     sinusoidWithPiTicks,
     unlimitedPointQuestion,
     unlimitedPolygonQuestion,
@@ -239,6 +241,7 @@ describe("Interactive Graph", function () {
         quadratic: quadraticQuestion,
         sinusoid: sinusoidQuestion,
         tangent: tangentQuestion,
+        logarithm: logarithmQuestion,
         "unlimited-point": pointQuestion,
         "unlimited-polygon": polygonQuestion,
     };
@@ -257,6 +260,7 @@ describe("Interactive Graph", function () {
         quadratic: quadraticQuestionWithDefaultCorrect,
         sinusoid: sinusoidQuestionWithDefaultCorrect,
         tangent: tangentQuestionWithDefaultCorrect,
+        logarithm: logarithmQuestionWithDefaultCorrect,
         "unlimited-point": pointQuestionWithDefaultCorrect,
         "unlimited-polygon": polygonQuestionDefaultCorrect,
     };

packages/perseus/src/widgets/interactive-graphs/interactive-graph.testdata.ts

@@ -825,6 +825,23 @@ export const graphWithLabeledFunction: PerseusRenderer =
         })
         .build();
 
+export const logarithmQuestion: PerseusRenderer =
+    interactiveGraphQuestionBuilder()
+        .withContent(
+            "**Graph $f(x) = \\log(x + 6)$ in the interactive widget.**\n\n[[☃ interactive-graph 1]]",
+        )
+        .withLogarithm({
+            coords: [
+                [-4, -3],
+                [-5, -7],
+            ],
+            asymptote: -6,
+        })
+        .build();
+
+export const logarithmQuestionWithDefaultCorrect: PerseusRenderer =
+    interactiveGraphQuestionBuilder().withLogarithm().build();
+
 export const sinusoidWithPiTicks: PerseusRenderer =
     interactiveGraphQuestionBuilder()
         .withXRange(-6 * Math.PI, 6 * Math.PI)

packages/perseus/src/widgets/interactive-graphs/mafs-graph.tsx

@@ -777,6 +777,8 @@ const renderGraphElements = (props: {
             return renderAbsoluteValueGraph(state, dispatch, i18n);
         case "tangent":
             return renderTangentGraph(state, dispatch, i18n);
+        case "logarithm":
+            return {graph: null, interactiveElementsDescription: null};
         default:
             throw new UnreachableCaseError(type);
     }

packages/perseus/src/widgets/interactive-graphs/mafs-state-to-interactive-graph.test.ts

@@ -14,6 +14,7 @@ import type {
     SegmentGraphState,
     SinusoidGraphState,
     TangentGraphState,
+    LogarithmGraphState,
 } from "./types";
 import type {PerseusGraphType} from "@khanacademy/perseus-core";
 
@@ -491,4 +492,47 @@ describe("mafsStateToInteractiveGraph", () => {
             ],
         });
     });
+
+    it("converts the state of a logarithm graph", () => {
+        const graph: PerseusGraphType = {
+            type: "logarithm",
+            startCoords: {
+                coords: [
+                    [5, 6],
+                    [7, 8],
+                ],
+                asymptote: 3,
+            },
+        };
+        const state: LogarithmGraphState = {
+            ...commonGraphState,
+            type: "logarithm",
+            coords: [
+                [1, 2],
+                [3, 4],
+            ],
+            asymptote: -1,
+        };
+
+        const result: PerseusGraphType = mafsStateToInteractiveGraph(
+            state,
+            graph,
+        );
+
+        expect(result).toEqual({
+            type: "logarithm",
+            coords: [
+                [1, 2],
+                [3, 4],
+            ],
+            asymptote: -1,
+            startCoords: {
+                coords: [
+                    [5, 6],
+                    [7, 8],
+                ],
+                asymptote: 3,
+            },
+        });
+    });
 });

packages/perseus/src/widgets/interactive-graphs/mafs-state-to-interactive-graph.ts

@@ -110,6 +110,13 @@ export function mafsStateToInteractiveGraph(
                 ...originalGraph,
                 coords: state.coords,
             };
+        case "logarithm":
+            invariant(originalGraph.type === "logarithm");
+            return {
+                ...originalGraph,
+                coords: state.coords,
+                asymptote: state.asymptote,
+            };
         default:
             throw new UnreachableCaseError(state);
     }

packages/perseus/src/widgets/interactive-graphs/reducer/initialize-graph-state.test.ts

@@ -523,6 +523,72 @@ describe("initializeGraphState for exponential graphs", () => {
     });
 });
 
+describe("initializeGraphState for logarithm graphs", () => {
+    it("uses the given coords and asymptote if present", () => {
+        // Arrange, Act
+        const graph = initializeGraphState({
+            ...baseGraphData,
+            graph: {
+                type: "logarithm",
+                coords: [
+                    [-4, -3],
+                    [-5, -7],
+                ],
+                asymptote: -6,
+            },
+        });
+
+        // Assert
+        invariant(graph.type === "logarithm");
+        expect(graph.coords).toEqual([
+            [-4, -3],
+            [-5, -7],
+        ]);
+        expect(graph.asymptote).toBe(-6);
+    });
+
+    it("uses startCoords if given and explicit coords are absent", () => {
+        // Arrange, Act
+        const graph = initializeGraphState({
+            ...baseGraphData,
+            graph: {
+                type: "logarithm",
+                startCoords: {
+                    coords: [
+                        [1, 4],
+                        [3, 8],
+                    ],
+                    asymptote: 2,
+                },
+            },
+        });
+
+        // Assert
+        invariant(graph.type === "logarithm");
+        expect(graph.coords).toEqual([
+            [1, 4],
+            [3, 8],
+        ]);
+        expect(graph.asymptote).toBe(2);
+    });
+
+    it("uses default coords and asymptote if neither coords nor startCoords are given", () => {
+        // Arrange, Act
+        const graph = initializeGraphState({
+            ...baseGraphData,
+            graph: {type: "logarithm"},
+        });
+
+        // Assert
+        invariant(graph.type === "logarithm");
+        expect(graph.coords).toEqual([
+            [1, 1],
+            [5, 5],
+        ]);
+        expect(graph.asymptote).toBe(0);
+    });
+});
+
 describe("initializeGraphState for tangent graphs", () => {
     it("uses the given coords, if present", () => {
         const graph = initializeGraphState({

packages/perseus/src/widgets/interactive-graphs/reducer/initialize-graph-state.ts

@@ -21,6 +21,7 @@ import type {
     PerseusGraphTypeSinusoid,
     PerseusGraphTypeExponential,
     PerseusGraphTypeTangent,
+    PerseusGraphTypeLogarithm,
 } from "@khanacademy/perseus-core";
 import type {Interval} from "mafs";
 
@@ -149,7 +150,8 @@ export function initializeGraphState(
         case "logarithm":
             return {
                 ...shared,
-                type: "none",
+                type: graph.type,
+                ...getLogarithmCoords(graph, range, step),
             };
         default:
             throw new UnreachableCaseError(graph);
@@ -516,6 +518,37 @@ export function getExponentialCoords(
     return {coords, asymptote};
 }
 
+function getLogarithmCoords(
+    graph: PerseusGraphTypeLogarithm,
+    range: [x: Interval, y: Interval],
+    step: [x: number, y: number],
+): {coords: [Coord, Coord]; asymptote: number} {
+    if (graph.coords && graph.asymptote != null) {
+        return {
+            coords: [graph.coords[0], graph.coords[1]],
+            asymptote: graph.asymptote,
+        };
+    }
+
+    // Default coords as normalized fractions of the graph range. After
+    // normalization with the default asymptote at x=0, both points will
+    // be to the right of the asymptote.
+    let defaultCoords: [Coord, Coord] = [
+        [0.55, 0.55],
+        [0.75, 0.75],
+    ];
+    defaultCoords = normalizePoints(range, step, defaultCoords, true);
+
+    const coords: [Coord, Coord] = graph.startCoords
+        ? graph.startCoords.coords
+        : defaultCoords;
+    const asymptote: number = graph.startCoords
+        ? graph.startCoords.asymptote
+        : 0;
+
+    return {coords, asymptote};
+}
+
 export const getAngleCoords = (params: {
     graph: PerseusGraphTypeAngle;
     range: [x: Interval, y: Interval];

packages/perseus/src/widgets/interactive-graphs/reducer/interactive-graph-action.ts

@@ -83,6 +83,10 @@ export const actions = {
         movePoint,
         moveCenter,
     },
+    logarithm: {
+        movePoint,
+        moveCenter,
+    },
     absoluteValue: {
         movePoint,
     },