Add modular exponentiation function#194
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siriak merged 2 commits intoTheAlgorithms:masterfrom Oct 11, 2025
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Implements modular exponentiation using fast binary exponentiation with optional modulus. Validates input parameters and handles negative bases correctly.
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Pull Request Overview
Adds a new modular exponentiation function to the mathematics directory, implementing fast binary exponentiation with O(log n) time complexity. The function supports both regular exponentiation and modular exponentiation with proper handling of negative bases and comprehensive input validation.
Key Changes
- Implements efficient binary exponentiation algorithm with optional modular arithmetic
- Includes comprehensive roxygen-style documentation with examples and parameter descriptions
- Provides input validation for exponent and modulus parameters
Updated example for modular_exponentiation function to include calculation explanation.
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Description of Change
stopifnot()for validation of sample cases.mathematics/modular_exponentiation.rfollowing project structure and naming conventions.Checklist
.rextension and follows directory structure (mathematics/)snake_caseordot.case)stopifnot(...))Notes:
Adds an efficient and well-documented implementation of Modular Exponentiation under
mathematics/, demonstrating logarithmic-time exponentiation via binary exponentiation. Includes examples, edge case handling, and validation tests.