#ifndef BACK_BASE_H
#define BACK_BASE_H

int ln_baseN(int n, int b);
int pw(int x, int n);
double pwf(double x, int n);
int abs(int n);
int min(int a, int b);
int max(int a, int b);
double mind(double a, double b);
double maxd(double a, double b);
double absf(double n);
int convex_seg(int x1, int x2, double theta);
bool is_an_integer(char c);
double to_double(int n);
int to_int(double n);
int line_count(char* filename);
int str_to_int(char* s);
bool str_equal(char* s1, char* s2);

cube_0 create_cube_0(double x, double y, double z, double w, double h, double d, double hz_a, double vt_a, int r, int g, int b);
cube create_cube(double x, double y, double z, double w, double h, double d, double hz_a, double vt_a, int r, int g, int b);
void free_cube(cube c);
teleporter create_teleporter(
    double x, double y, double z, double w, double h, double d, double hz_a, double vt_a, int r, int g, int b,
    int chx_dest, int chy_dest, double x_dest, double y_dest, double z_dest
);

double convex_pt(double a, double b, double theta);
double distance_pt_pt_3d(double x0, double y0, double z0, double x1, double y1, double z1);
double distance_pt_seg_3d(double x, double y, double z, double sx, double sy, double sz, double ex, double ey, double ez);

double convex_pt(double a, double b, double theta);
double distance_pt_pt_3d(double x0, double y0, double z0, double x1, double y1, double z1) ;
double distance_pt_seg_3d(double x, double y, double z, double sx, double sy, double sz, double ex, double ey, double ez);
double distance_pt_cube_axis(double coord, double begin, double end);
double distance_pt_cube_aligned_3d(double x0, double y0, double z0, double cx, double cy, double cz, double cw, double ch, double cd);
double distance_pt_cube_0_3d(double x0, double y0, double z0, cube_0 c);

double distance_pt_cube_aligned_3d_weighted(double x0, double y0, double z0, double cx, double cy, double cz, double cw, double ch, double cd, double mx, double my, double mz);
double distance_pt_cube_0_3d_weighted(double x0, double y0, double z0, double mx, double my, double mz, cube_0 c);

double distance_pt_cube_axis_max(double coord, double begin, double end);
double distance_pt_cube_aligned_3d_max(double x0, double y0, double z0, double cx, double cy, double cz, double cw, double ch, double cd);
double distance_pt_cube_0_3d_max(double x0, double y0, double z0, cube_0 c);

void remove_entity(entity** arr, int* memlen, int* len, int index);
void add_entity(entity** arr, int* memlen, int* len, entity ent);

double distance_pt_cube_3d(double x0, double y0, double z0, cube cb);
void project_to_camera(double x0, double y0, double z0, double* rx, double* ry, double* rz);

void import_digits(SDL_Renderer* renderer);
void import_letters(SDL_Renderer* renderer);
void free_digits(imgs dgts);

#endif