#ifndef MATHS_H
#define MATHS_H

#include "utils.h"

/**
 * @brief Checks if a 128 bit integer is a prime number
 * @param n The integer to check
 * @return true if the integer is prime, false otherwise
 */
bool is_prime(int128_t n);

/**
 * @brief Checks if a 128 bit integer is within the safe limit
 * @param x The integer to check
 * @return true if the integer is within the safe limit, false otherwise
 */
bool safe_val(int128_t x);

/**
 * @brief Calculates the GCD for 3 128 bit integers
 * @param a The first integer
 * @param b The second integer
 * @param c The third integer
 * @return The GCD of the three integers
 */
int128_t gcd3(int128_t a, int128_t b, int128_t c);

/**
 * @brief Calculates the GCD for 2 128 bit integers
 * @param a The first integer
 * @param b The second integer
 * @return The GCD of the two integers
 */
int128_t gcd2(int128_t a, int128_t b);

/**
 * @brief Returns the absolute value of a 128 bit integer
 * @param x The integer to get the absolute value of
 * @return The absolute value of the integer
 */
int128_t abs128(int128_t x);

/**
 * @brief Calculates b raised to the power of ex for 128 bit integers
 * @param b The base integer
 * @param ex The exponent integer
 * @return The result of b raised to the power of ex
 */
int128_t power(int128_t b, int128_t ex);

/**
 * @brief Generates factor pairs for a 128 bit integer
 * @param sum Pointer to store the sum of the factor pairs
 * @param prime_index The index of the prime number to use
 * @param exponents Pointer to the array of exponents
 * @param values Pointer to the array of values
 * @param n1 The first integer
 * @param print_mode The mode for printing the results
 */
void generate_factor_pairs(int128_t* sum, int prime_index, int* exponents,
							int128_t* values, int128_t n1, int print_mode);

/**
 * @brief Calculates the square root of an unsigned 128 bit integer
 * @param number The integer to calculate the square root of
 * @return The square root of the integer
 */
uint128_t mysqrt_uint128(uint128_t number);

#endif