Advent-Incremental/tests/game/formulas.test.ts

365 lines
15 KiB
TypeScript

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