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Testing Horner's Method Polynomial Evaluation in javascript-algorithms

This test suite validates the Horner’s Method implementation for polynomial evaluation in JavaScript. It verifies both the accuracy of polynomial calculations and ensures consistency with classical polynomial evaluation approaches.

Test Coverage Overview

The test suite provides comprehensive coverage of polynomial evaluation scenarios.

Key areas tested include:

Single coefficient polynomials
Multi-coefficient polynomials with varying complexity
Different x-values including decimals
Comparison with classical polynomial evaluation

Implementation Analysis

The testing approach utilizes Jest’s describe/it blocks for structured test organization. Tests validate both direct polynomial evaluation and comparative analysis with classical methods.

Key patterns include:

Precise floating-point comparisons
Multiple test cases per scenario
Direct method comparison validation

Technical Details

Testing infrastructure includes:

Jest testing framework
Floating point precision handling
Import-based module testing
Expect assertions for value matching

Best Practices Demonstrated

The test suite exemplifies high-quality testing practices through organized test structure and comprehensive validation.

Notable practices include:

Isolated test cases
Clear test descriptions
Multiple assertion points
Cross-validation with alternative implementation

trekhleb/javascript-algorithms

src/algorithms/math/horner-method/__test__/hornerMethod.test.js

            
import hornerMethod from '../hornerMethod';
import classicPolynome from '../classicPolynome';

describe('hornerMethod', () => {
  it('should evaluate the polynomial for the specified value of x correctly', () => {
    expect(hornerMethod([8], 0.1)).toBe(8);
    expect(hornerMethod([2, 4, 2, 5], 0.555)).toBe(7.68400775);
    expect(hornerMethod([2, 4, 2, 5], 0.75)).toBe(9.59375);
    expect(hornerMethod([1, 1, 1, 1, 1], 1.75)).toBe(20.55078125);
    expect(hornerMethod([15, 3.5, 0, 2, 1.42, 0.41], 0.315)).toBe(1.136730065140625);
    expect(hornerMethod([0, 0, 2.77, 1.42, 0.41], 1.35)).toBe(7.375325000000001);
    expect(hornerMethod([0, 0, 2.77, 1.42, 2.3311], 1.35)).toBe(9.296425000000001);
    expect(hornerMethod([2, 0, 0, 5.757, 5.31412, 12.3213], 3.141)).toBe(697.2731167035034);
  });

  it('should evaluate the same polynomial value as classical approach', () => {
    expect(hornerMethod([8], 0.1)).toBe(classicPolynome([8], 0.1));
    expect(hornerMethod([2, 4, 2, 5], 0.555)).toBe(classicPolynome([2, 4, 2, 5], 0.555));
    expect(hornerMethod([2, 4, 2, 5], 0.75)).toBe(classicPolynome([2, 4, 2, 5], 0.75));
  });
});