forked from profectus/Profectus
406 lines
17 KiB
TypeScript
406 lines
17 KiB
TypeScript
import Formula, { InvertibleFormula } from "game/formulas";
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import Decimal, { DecimalSource } from "util/bignum";
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import { beforeAll, describe, expect, test } from "vitest";
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import { ref } from "vue";
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type FormulaFunctions = keyof Formula & keyof typeof Formula & keyof typeof Decimal;
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interface FixedLengthArray<T, L extends number> extends ArrayLike<T> {
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length: L;
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}
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function compare_tolerance(value: DecimalSource) {
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return (other: DecimalSource) => Decimal.eq_tolerance(value, other);
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}
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function testConstant(
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desc: string,
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formulaFunc: () => InvertibleFormula,
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expectedValue: DecimalSource = 10
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) {
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describe(desc, () => {
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let formula: Formula;
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beforeAll(() => {
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formula = formulaFunc();
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});
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test("evaluates correctly", () => expect(formula.evaluate()).toEqual(expectedValue));
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test("inverts correctly", () => expect(formula.invert(10)).toEqual(expectedValue));
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test("is invertible", () => expect(formula.invertible).toBe(true));
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test("is not marked as having a variable", () => expect(formula.hasVariable).toBe(false));
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});
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}
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// Utility function that will test all the different
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// It's a lot of tests, but I'd rather be exhaustive
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function testFormula<T extends FormulaFunctions>(
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functionNames: readonly T[],
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args: Readonly<FixedLengthArray<number, Parameters<typeof Formula[T]>["length"]>>,
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invertible = true
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) {
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let value: Decimal;
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beforeAll(() => {
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value = testValueFormulas[args[0]].evaluate();
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});
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functionNames.forEach(name => {
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let testName = name + "(";
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for (let i = 0; i < args.length; i++) {
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if (i !== 0) {
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testName += ", ";
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}
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testName += testValues[args[i]];
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}
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testName += ")";
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describe(testName, () => {
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let expectedEvaluation: Decimal | undefined;
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let formulaArgs: Formula[];
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let staticFormula: Formula;
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let instanceFormula: Formula;
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beforeAll(() => {
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for (let i = 0; i < args.length; i++) {
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formulaArgs.push(testValueFormulas[args[i]]);
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}
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// eslint-disable-next-line @typescript-eslint/ban-ts-comment
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// @ts-ignore
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staticFormula = Formula[name](...formulaArgs);
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// eslint-disable-next-line @typescript-eslint/ban-ts-comment
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// @ts-ignore
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instanceFormula = formulaArgs[0][name](...formulaArgs.slice(1));
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try {
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// eslint-disable-next-line @typescript-eslint/ban-ts-comment
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// @ts-ignore
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expectedEvaluation = Decimal[name](...args);
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} catch {
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// If this is an invalid Decimal operation, then ignore this test case
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return;
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}
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});
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test("Static formula is not marked as having a variable", () =>
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expect(staticFormula.hasVariable).toBe(false));
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test("Static function evaluates correctly", () =>
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expectedEvaluation != null &&
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expect(staticFormula.evaluate()).toSatisfy(compare_tolerance(expectedEvaluation)));
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test("Static function invertible", () =>
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expect(staticFormula.invertible).toBe(invertible));
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if (invertible) {
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test("Static function inverts correctly", () =>
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expectedEvaluation != null &&
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!Decimal.isNaN(expectedEvaluation) &&
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expect(staticFormula.invert(expectedEvaluation)).toSatisfy(
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compare_tolerance(value)
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));
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}
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// Do those tests again but for non-static methods
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test("Instance formula is not marked as having a variable", () =>
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expect(instanceFormula.hasVariable).toBe(false));
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test("Instance function evaluates correctly", () =>
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expectedEvaluation != null &&
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expect(instanceFormula.evaluate()).toSatisfy(
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compare_tolerance(expectedEvaluation)
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));
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test("Instance function invertible", () =>
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expect(instanceFormula.invertible).toBe(invertible));
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if (invertible) {
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test("Instance function inverts correctly", () =>
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expectedEvaluation != null &&
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!Decimal.isNaN(expectedEvaluation) &&
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expect(instanceFormula.invert(expectedEvaluation)).toSatisfy(
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compare_tolerance(value)
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));
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}
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});
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});
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}
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const testValues = [-2.5, -1, -0.1, 0, 0.1, 1, 2.5] as const;
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let testValueFormulas: InvertibleFormula[] = [];
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const invertibleZeroParamFunctionNames = [
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["neg", "negate", "negated"],
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["recip", "reciprocal", "reciprocate"],
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["log10"],
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["log2"],
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["ln"],
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["pow10"],
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["exp"],
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["sqr"],
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["sqrt"],
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["cube"],
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["cbrt"],
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["lambertw"],
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["ssqrt"],
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["sin"],
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["cos"],
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["tan"],
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["asin"],
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["acos"],
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["atan"],
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["sinh"],
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["cosh"],
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["tanh"],
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["asinh"],
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["acosh"],
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["atanh"]
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] as const;
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const nonInvertibleZeroParamFunctionNames = [
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["abs"],
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["sign", "sgn"],
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["round"],
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["floor"],
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["ceil"],
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["trunc"],
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["pLog10"],
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["absLog10"],
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["factorial"],
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["gamma"],
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["lngamma"]
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] as const;
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const invertibleOneParamFunctionNames = [
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["add", "plus"],
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["sub", "subtract", "minus"],
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["mul", "multiply", "times"],
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["div", "divide"],
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["log", "logarithm"],
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["pow"],
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["root"],
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["slog"]
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] as const;
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const nonInvertibleOneParamFunctionNames = [
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["max"],
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["min"],
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["maxabs"],
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["minabs"],
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["clampMin"],
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["clampMax"],
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["layeradd10"]
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] as const;
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const invertibleTwoParamFunctionNames = [["tetrate"], ["layeradd"]] as const;
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const nonInvertibleTwoParamFunctionNames = [
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["clamp"],
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["iteratedexp"],
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["iteratedlog"],
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["pentate"]
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] as const;
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describe("Creating Formulas", () => {
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beforeAll(() => {
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testValueFormulas = testValues.map(v => Formula.constant(v));
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});
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describe("Constants", () => {
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testConstant("number", () => Formula.constant(10));
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testConstant("string", () => Formula.constant("10"));
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testConstant("formula", () => Formula.constant(Formula.constant(10)));
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testConstant("decimal", () => Formula.constant(new Decimal("1e400")), "1e400");
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testConstant("ref", () => Formula.constant(ref(10)));
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});
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describe("Invertible 0-param", () => {
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invertibleZeroParamFunctionNames.forEach(names => {
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for (let i = 0; i < testValues.length; i++) {
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testFormula(names, [i] as const);
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}
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});
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});
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describe("Non-Invertible 0-param", () => {
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nonInvertibleZeroParamFunctionNames.forEach(names => {
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for (let i = 0; i < testValues.length; i++) {
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testFormula(names, [i] as const, false);
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}
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});
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});
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describe("Invertible 1-param", () => {
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invertibleOneParamFunctionNames.forEach(names => {
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for (let i = 0; i < testValues.length; i++) {
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for (let j = 0; j < testValues.length; j++) {
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testFormula(names, [i, j] as const);
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}
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}
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});
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});
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describe("Non-Invertible 1-param", () => {
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nonInvertibleOneParamFunctionNames.forEach(names => {
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for (let i = 0; i < testValues.length; i++) {
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for (let j = 0; j < testValues.length; j++) {
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testFormula(names, [i, j] as const, false);
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}
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}
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});
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});
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describe("Invertible 2-param", () => {
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invertibleTwoParamFunctionNames.forEach(names => {
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for (let i = 0; i < testValues.length; i++) {
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for (let j = 0; j < testValues.length; j++) {
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for (let k = 0; k < testValues.length; k++) {
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testFormula(names, [i, j, k] as const);
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}
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}
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}
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});
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});
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describe("Non-Invertible 2-param", () => {
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nonInvertibleTwoParamFunctionNames.forEach(names => {
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for (let i = 0; i < testValues.length; i++) {
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for (let j = 0; j < testValues.length; j++) {
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for (let k = 0; k < testValues.length; k++) {
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testFormula(names, [i, j, k] as const, false);
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}
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}
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}
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});
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});
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describe("Variables", () => {
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let variable: Formula;
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let constant: Formula;
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beforeAll(() => {
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variable = Formula.variable(10);
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constant = Formula.constant(10);
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});
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test("Created variable is marked as a variable", () =>
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expect(variable.hasVariable).toBe(true));
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test("Evaluate() returns variable's value", () =>
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expect(variable.evaluate()).toSatisfy(compare_tolerance(10)));
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test("Invert() is pass-through", () =>
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expect(variable.invert(100)).toSatisfy(compare_tolerance(100)));
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test("Nested variable is marked as having a variable", () =>
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expect(variable.add(10).div(3).pow(2).hasVariable).toBe(false));
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test("Nested non-variable is marked as not having a variable", () =>
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expect(constant.add(10).div(3).pow(2).hasVariable).toBe(false));
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describe("Invertible Formulas correctly calculate when they contain a variable", () => {
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function checkFormula(formula: Formula, expectedBool = true) {
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expect(formula.invertible).toBe(expectedBool);
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expect(formula.hasVariable).toBe(expectedBool);
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}
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invertibleZeroParamFunctionNames.flat().forEach(name => {
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describe(name, () => {
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test(`${name}(var) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](variable)));
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});
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});
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invertibleOneParamFunctionNames.flat().forEach(name => {
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describe(name, () => {
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test(`${name}(var, const) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](variable, constant)));
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test(`${name}(const, var) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](constant, variable)));
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test(`${name}(var, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, variable), false));
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});
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});
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invertibleTwoParamFunctionNames.flat().forEach(name => {
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describe(name, () => {
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test(`${name}(var, const, const) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](variable, constant, constant)));
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test(`${name}(const, var, const) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](constant, variable, constant)));
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test(`${name}(const, const, var) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](constant, constant, variable)));
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test(`${name}(var, var, const) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, variable, constant), false));
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test(`${name}(var, const, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, constant, variable), false));
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test(`${name}(const, var, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](constant, variable, variable), false));
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test(`${name}(var, var, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, variable, variable), false));
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});
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});
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});
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describe("Non-Invertible Formulas never marked as having a variable", () => {
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function checkFormula(formula: Formula) {
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expect(formula.invertible).toBe(false);
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expect(formula.hasVariable).toBe(false);
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}
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nonInvertibleZeroParamFunctionNames.flat().forEach(name => {
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describe(name, () => {
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test(`${name}(var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable)));
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});
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});
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nonInvertibleOneParamFunctionNames.flat().forEach(name => {
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describe(name, () => {
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test(`${name}(var, const) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, constant)));
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test(`${name}(const, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](constant, variable)));
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test(`${name}(var, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, variable)));
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});
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});
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nonInvertibleTwoParamFunctionNames.flat().forEach(name => {
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describe(name, () => {
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test(`${name}(var, const, const) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](variable, constant, constant)));
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test(`${name}(const, var, const) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](constant, variable, constant)));
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test(`${name}(const, const, var) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](constant, constant, variable)));
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test(`${name}(var, var, const) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, variable, constant)));
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test(`${name}(var, const, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, constant, variable)));
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test(`${name}(const, var, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](constant, variable, variable)));
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test(`${name}(var, var, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, variable, variable)));
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});
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});
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});
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describe("Inverting calculates the value of the variable", () => {
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let variable: Formula;
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let constant: Formula;
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beforeAll(() => {
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variable = Formula.variable(2);
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constant = Formula.constant(3);
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});
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invertibleOneParamFunctionNames.flat().forEach(name =>
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describe(name, () => {
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test(`${name}(var, const).invert()`, () => {
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const formula = Formula[name](variable, constant);
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const result = formula.evaluate();
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expect(formula.invert(result)).toSatisfy(compare_tolerance(2));
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});
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test(`${name}(const, var).invert()`, () => {
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const formula = Formula[name](constant, variable);
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const result = formula.evaluate();
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expect(formula.invert(result)).toSatisfy(compare_tolerance(2));
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});
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})
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);
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invertibleTwoParamFunctionNames.flat().forEach(name =>
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describe(name, () => {
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test(`${name}(var, const, const).invert()`, () => {
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const formula = Formula[name](variable, constant, constant);
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const result = formula.evaluate();
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expect(formula.invert(result)).toSatisfy(compare_tolerance(2));
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});
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test(`${name}(const, var, const).invert()`, () => {
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const formula = Formula[name](constant, variable, constant);
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const result = formula.evaluate();
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expect(formula.invert(result)).toSatisfy(compare_tolerance(2));
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});
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test(`${name}(const, const, var).invert()`, () => {
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const formula = Formula[name](constant, constant, variable);
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const result = formula.evaluate();
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expect(formula.invert(result)).toSatisfy(compare_tolerance(2));
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});
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})
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);
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});
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});
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});
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