math_utils.c

/* ************************************************************************** */
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/*                                                        :::      ::::::::   */
/*   math_utils.c                                       :+:      :+:    :+:   */
/*                                                    +:+ +:+         +:+     */
/*   By: ana-lda- <ana-lda-@student.42.fr>          +#+  +:+       +#+        */
/*                                                +#+#+#+#+#+   +#+           */
/*   Created: 2024/08/08 13:39:18 by ana-lda-          #+#    #+#             */
/*   Updated: 2024/08/12 18:58:01 by ana-lda-         ###   ########.fr       */
/*                                                                            */
/* ************************************************************************** */

#include "fractol.h"

/** @brief linear interpolation
 * [0..799] -> [-2..+2]
*/
double	map(double unscaled_num, double new_min, double new_max, double old_max)
{
	return ((new_max - new_min) * unscaled_num / old_max + new_min);
}

/** @brief vector addiction
 * (x, y) + (x, y)
 * 	\z1       \z2
*/
t_complex	sum_complex(t_complex z1, t_complex z2)
{
	t_complex	result;

	result.x = z1.x + z2.x;
	result.y = z1.y + z2.y;
	return (result);
}

/** @brief square a number
 real = (x^2 - y^2)
 i =  2*x*y
*/
t_complex	square_complex(t_complex z)
{
	t_complex	result;

	result.x = (z.x * z.x) - (z.y * z.y);
	result.y = 2 * z.x * z.y;
	return (result);
}