//
// Doofy's Math library
//

#pragma once

typedef struct {
    float x;
    float y;
} Vector;

#define min(a, b) ((a) < (b) ? (a) : (b))
#define max(a, b) ((a) > (b) ? (a) : (b))
#define abs(x) ((x) > 0 ? (x) : -(x))

/**
 * Lerp function
 *
 * @param v0    Start value
 * @param v1    End value
 * @param t     Time (0-1 range)
 * @return      Point between v0-v1 at a given time
 */
float lerp(float v0, float v1, float t);

/**
 * 2D lerp function
 *
 * @param start Start vector
 * @param end   End vector
 * @param t     Time (0-1 range)
 * @return      2d Vector between start and end at time
 */
Vector lerp_2d(Vector start, Vector end, float t);

/**
 * Quadratic lerp function
 *
 * @param start     Start vector
 * @param control   Control point
 * @param end       End vector
 * @param t         Time (0-1 range)
 * @return          2d Vector at time
 */
Vector quadratic_2d(Vector start, Vector control, Vector end, float t);

/**
 * Add vector components together
 *
 * @param a     First vector
 * @param b     Second vector
 * @return      Resulting vector
 */
Vector vector_add(Vector a, Vector b);

/**
 * Subtract vector components together
 *
 * @param a First vector
 * @param b Second vector
 * @return  Resulting vector
 */
Vector vector_sub(Vector a, Vector b);

/**
 * Multiplying vector components together
 *
 * @param a First vector
 * @param b Second vector
 * @return  Resulting vector
 */
Vector vector_mul_components(Vector a, Vector b);

/**
 * Dividing vector components
 *
 * @param a First vector
 * @param b Second vector
 * @return  Resulting vector
 */
Vector vector_div_components(Vector a, Vector b);

/**
 * Calculating Vector length
 *
 * @param a Direction vector
 * @return  Length of the vector
 */
float vector_magnitude(Vector a);

/**
 * Get a normalized vector (length of 1)
 *
 * @param a Direction vector
 * @return  Normalized vector
 */
Vector vector_normalized(Vector a);

/**
 * Calculate two vector's distance
 *
 * @param a First vector
 * @param b Second vector
 * @return  Distance between vectors
 */
float vector_distance(Vector a, Vector b);

/**
 * Calculate the dot product of the vectors.
 * No need to normalize, it will do it
 *
 * @param a First vector
 * @param b Second vector
 * @return  value from -1 to 1
 */
float vector_dot(Vector a, Vector b);