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sudoku-tools/tests/helpers/relations.test.ts
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TypeScript

import { describe, expect, it } from "vitest";
import {
calculateResidual,
fortyFiveRuleResidual,
inequalityPairs,
kropkiPairs,
relationPairs,
xvPairs,
} from "../../src/helpers";
describe("relation pair tables", () => {
it("builds white and black Kropki tables", () => {
expect(kropkiPairs("white", 4)).toEqual([
[1, 2],
[2, 1],
[2, 3],
[3, 2],
[3, 4],
[4, 3],
]);
expect(kropkiPairs("black", 4)).toEqual([
[1, 2],
[2, 1],
[2, 4],
[4, 2],
]);
});
it("builds XV and directed inequality tables with candidate filtering", () => {
expect(xvPairs(5, 4)).toEqual([
[1, 4],
[2, 3],
[3, 2],
[4, 1],
]);
expect(inequalityPairs("<", 4, [2, 4], [1, 3])).toEqual([[2, 3]]);
expect(
relationPairs({ type: "difference", difference: 2 }, 4),
).toContainEqual([1, 3]);
});
});
describe("45-rule helpers", () => {
it("calculates a residual and its combinations", () => {
const result = calculateResidual({ knownSums: [10, 20], unknownCount: 2 });
expect(result.residual).toBe(15);
expect(result.analysis?.combinations).toEqual([
[6, 9],
[7, 8],
]);
});
it("subtracts complete cages and values but reports crossing cages", () => {
const result = fortyFiveRuleResidual({
unitCells: [0, 1, 2, 3, 4, 5, 6, 7, 8],
cages: [
{ cells: [0, 1], sum: 3 },
{ cells: [8, 17], sum: 10 },
],
knownValues: { 2: 4 },
});
expect(result.accounted).toBe(7);
expect(result.residual).toBe(38);
expect(result.residualCells).toEqual([3, 4, 5, 6, 7, 8]);
expect(result.crossingCages).toEqual([{ cells: [8, 17], sum: 10 }]);
});
});