Feat/routes f polynomial eval iqr outlier reverse word order

[KevinMB0220]

Description

This PR implements three new utility API endpoints with complete unit tests covering validation, edge cases, and algorithmic correctness.

Issues Addressed

1. Polynomial Evaluator (feat(routes-f): polynomial evaluator #868)
   • Path: /api/routes-f/polynomial-eval
   • Method: POST
   • Request: { coefficients: number[], x: number | number[] }
   • Response: { results: number[] }
   • Algorithm: Uses Horner's method to evaluate polynomials efficiently.
2. IQR Outlier Detection (feat(routes-f): IQR outlier detection #872)
   • Path: /api/routes-f/iqr-outlier
   • Method: POST
   • Request: { data: number[], multiplier?: number } (default 1.5)
   • Response: { q1: number, q3: number, iqr: number, lower_bound: number, upper_bound: number, outliers: number[] }
   • Algorithm: Linear quartile interpolation matching Excel's QUARTILE.INC / NumPy, calculating Interquartile Range (IQR) and identifying outliers.
3. Reverse Word Order (feat(routesF): reverse word order #904)
   • Path: /api/routesF/reverse-word-order
   • Method: POST
   • Request: { text: string }
   • Response: { result: string }
   • Algorithm: Splitting text by any whitespace sequence (collapsing internal spaces/tabs), reversing order, and joining back with a single space.

---

Files Added

• app/api/routes-f/polynomial-eval/route.ts - Polynomial evaluator logic & validation
• app/api/routes-f/polynomial-eval/route.test.ts - Polynomial evaluation tests
• app/api/routes-f/iqr-outlier/route.ts - IQR outlier computation logic & validation
• app/api/routes-f/iqr-outlier/route.test.ts - IQR outlier detection tests
• app/api/routesF/reverse-word-order/route.ts - Word order reversing logic & validation
• app/api/routesF/reverse-word-order/route.test.ts - Word reversing tests

---

Verification Results

All unit tests pass successfully (31/31 tests):

node_modules/.bin/jest "routes-f/polynomial-eval" "routes-f/iqr-outlier" "routesF/reverse-word-order" --no-coverage --forceExit


PASS app/api/routesF/reverse-word-order/route.test.ts
PASS app/api/routes-f/polynomial-eval/route.test.ts
PASS app/api/routes-f/iqr-outlier/route.test.ts

Test Suites: 3 passed, 3 total
Tests:       31 passed, 31 total
Time:        1.574s


## Closes #872
## Closes #868
## Closes #904 

[vercel]

@KevinMB0220 is attempting to deploy a commit to the david's projects Team on Vercel.

A member of the Team first needs to authorize it.

[drips-wave]

@KevinMB0220 Great news! 🎉 Based on an automated assessment of this PR, the linked Wave issue(s) no longer count against your application limits.

You can now already apply to more issues while waiting for a review of this PR. Keep up the great work! 🚀

Learn more about application limits