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.

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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

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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

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