Helper functions

queen_attack.h

#ifndef QUEEN_ATTACK_H
#define QUEEN_ATTACK_H

#include <stdint.h>

typedef enum { CAN_NOT_ATTACK, CAN_ATTACK, INVALID_POSITION } attack_status_t;

typedef struct {
   uint8_t row;
   uint8_t column;
} position_t;

attack_status_t can_attack(position_t queen_1, position_t queen_2);

#endif

queen_attack.c

static bool is_valid_position(position_t pos)
{
   return pos.row < 8 && pos.column < 8;
}

static bool has_valid_positions(position_t pos_1, position_t pos_2)
{
   if (!is_valid_position(pos_1) || !is_valid_position(pos_2))
      return false;
   return !(pos_1.row == pos_2.row && pos_1.column == pos_2.column);
}

static bool is_on_straight_or_diagonal(position_t pos_1, position_t pos_2)
{
   return pos_1.row == pos_2.row || pos_1.column == pos_2.column ||
          abs(pos_2.row - pos_1.row) == abs(pos_2.column - pos_1.column);
}

attack_status_t can_attack(position_t queen_1, position_t queen_2)
{
   return (!has_valid_positions(queen_1, queen_2))       ? INVALID_POSITION
          : is_on_straight_or_diagonal(queen_1, queen_2) ? CAN_ATTACK
                                                         : CAN_NOT_ATTACK;
}

This approach defines several helper functions with the static keyword to indicate the functions have internal linkage. Functions in the source file with internal linkage do not have to be declared in the header file as part of the "public interface". Since code external to the source file does not have access to the static functions in the source file, the static functions can be modified or removed without breaking the external code.

The is_valid_position function checks that a position is valid, i.e., not beyond the chessboard.

The has_valid_positions function uses is_valid_position to check that the position for each queen is valid, and then checks that the queen positions are valid in relation to each other, i.e., not occupying the same square.

The is_on_straight_or_diagonal function checks if the queens are on the same rank or file, or if they are diagonal to each other.

The abs function in stdlib.h is used to calculate the diagonal.

• For example, if queen 1 is on position 2,2, and queen 2 is on position 4,4, then 4 - 2 = 2 (the absolute of which is 2) equals 4 - 2 = 2 (the absolute of which is 2.)

• If queen 1 is on position 4,4, and queen 2 is on position 2,2, then 2 - 4 = -2 (the absolute of which is 2) equals 2 - 4 = -2 (the absolute of which is 2.)

• If queen 1 is on position 4,4, and queen 2 is on position 2,1, then 2 - 4 = -2 (the absolute of which is 2) does not equal 1 - 4 = -3 (the absolute of which is 3.)

The can_attack function uses a couple of chained ternary operators that use the helper functions to return the answer.

If the first ternary expression determines the positions are not valid, then INVALID_POSITION is returned. Otherwise, the second ternary expression checks if the queens can attack each other. If so, then CAN_ATTACK is returned. Otherwise, CAN_NOT_ATTACK is returned.