/*----------------------------------------------------------------------------- * HTBLA-Leonding *----------------------------------------------------------------------------- * Author(s): Marc Tismonar *----------------------------------------------------------------------------- * Description: * Encapsulates roman numbers and provides basic mathematical operations. *----------------------------------------------------------------------------- */ #include "roman_number.h" // the maximum number of RomanNumbers #define MAX_ROMAN_NUMBER_COUNT 32 struct RomanNumberData { char* number; int length; }; static RomanNumber romanNumber = {0}; /* Determines whether or not the letter followed by next_letter is a valid subtraction pattern of roman numbers */ static bool rn_is_valid_subtraction(char letter, char next_letter) { return (letter == 'I' && (next_letter == 'V' || next_letter == 'X' || next_letter == 'L' || next_letter == 'C' || next_letter == 'D' || next_letter == 'M')) || (letter == 'X' && (next_letter == 'L' || next_letter == 'C' || next_letter == 'D' || next_letter == 'M')) || (letter == 'C' && (next_letter == 'D' || next_letter == 'M')); } static int roman_char_to_int(char romanNumber) { switch(romanNumber) { case 'I': { return 1; } case 'V': { return 5; } case 'X': { return 10; } case 'L': { return 50; } case 'C': { return 100; } case 'D': { return 500; } case 'M': { return 1000; } default: { return 0; } } } static char int_to_roman_char(int number) { switch(number) { case 1: { return 'I'; } case 5: { return 'V'; } case 10: { return 'X'; } case 50: { return 'L'; } case 100: { return 'C'; } case 500: { return 'D'; } case 1000: { return 'M'; } default: { return 0; } } } static bool rn_is_valid_number_str(char* string_number) { if(string_number == 0) { return 0; } for(int i = 0; i < strlen(string_number); i++) { if(roman_char_to_int(string_number[i]) == 0) { return false; } } return true; } RomanNumber rn_create(char* value) { if(value == 0) { return 0; } romanNumber = (RomanNumber)calloc(1, sizeof(struct RomanNumberData)); romanNumber->number = value; romanNumber->length = strlen(value); return romanNumber; } int rn_get_value(RomanNumber number) { if(number == 0 || !rn_is_valid(number)) { return -1; } int next_number = 0; int current_number = 0; int total_number = 0; for(int i = 0; i < strlen(number->number); i++) { current_number = roman_char_to_int(number->number[i]); if (number->number[i+1] == '\0') { total_number += current_number; return total_number; } next_number = roman_char_to_int(number->number[i+1]); if(current_number < next_number) { if(!rn_is_valid_subtraction(number->number[i], number->number[i+1])) { return -1; } total_number -= current_number; } else { total_number += current_number; } } return total_number; } bool rn_is_valid(RomanNumber number) { if(number == 0) { return 0; } for(int i = 0; i < number->length; i++) { if(roman_char_to_int(number->number[i]) == 0) { return false; } } return true; } RomanNumber rn_gcd(RomanNumber x, RomanNumber y) { if(x == 0 || y == 0) { return -1; } int intX = rn_get_value(x); int intY = rn_get_value(y); int result = int_gcd(intX, intY); } int int_gcd(int x, int y) { return 0; }