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Testing Recursive Staircase Memoization in javascript-algorithms

This test suite validates the recursive staircase problem implementation using memoization. It verifies the calculation of possible ways to climb stairs taking 1 or 2 steps at a time, with optimized performance through memoization techniques.

Test Coverage Overview

The test suite provides comprehensive coverage of the recursive staircase algorithm with memoization.

Key areas tested include:

Edge cases with negative and zero inputs
Base cases for 1 and 2 steps
Sequential values up to 10 steps following Fibonacci sequence
Boundary value analysis for increasing step counts

Implementation Analysis

The testing approach employs Jest’s describe/it pattern for structured test organization. The implementation validates the memoized recursive solution against known Fibonacci sequence values, as the staircase problem follows this pattern.

Technical patterns include:

Sequential test assertions for progressive step counts
Edge case validation
Direct comparison with expected Fibonacci numbers

Technical Details

Testing infrastructure includes:

Jest testing framework
ES6 module import syntax
Expect assertions for precise value matching
Single test suite structure with multiple assertions
Memoization verification through sequential calls

Best Practices Demonstrated

The test implementation showcases several testing best practices.

Notable examples include:

Comprehensive edge case coverage
Progressive complexity testing
Clear test case organization
Efficient test structure for multiple assertions
Validation of optimization technique (memoization)

trekhleb/javascript-algorithms

src/algorithms/uncategorized/recursive-staircase/__test__/recursiveStaircaseMEM.test.js

            
import recursiveStaircaseMEM from '../recursiveStaircaseMEM';

describe('recursiveStaircaseMEM', () => {
  it('should calculate number of variants using Brute Force with Memoization', () => {
    expect(recursiveStaircaseMEM(-1)).toBe(0);
    expect(recursiveStaircaseMEM(0)).toBe(0);
    expect(recursiveStaircaseMEM(1)).toBe(1);
    expect(recursiveStaircaseMEM(2)).toBe(2);
    expect(recursiveStaircaseMEM(3)).toBe(3);
    expect(recursiveStaircaseMEM(4)).toBe(5);
    expect(recursiveStaircaseMEM(5)).toBe(8);
    expect(recursiveStaircaseMEM(6)).toBe(13);
    expect(recursiveStaircaseMEM(7)).toBe(21);
    expect(recursiveStaircaseMEM(8)).toBe(34);
    expect(recursiveStaircaseMEM(9)).toBe(55);
    expect(recursiveStaircaseMEM(10)).toBe(89);
  });
});