#ifndef LINALG_H
#define LINALG_H

typedef struct {
    double x;
    double y;
    double z;
} f3;

typedef struct {
    double xx;
    double xy;
    double xz;
    double yx;
    double yy;
    double yz;
    double zx;
    double zy;
    double zz;
} f3x3;

typedef struct {
    double x;
    double y;
} f2;

typedef struct {
    double xx;
    double xy;
    double yx;
    double yy;
} f2x2;

typedef struct {
    f2 p0;
    f2 p1;
    f2 p2;
} f2x3;

typedef struct {
    int x;
    int y;
} i2;

typedef struct {
    i2 p0;
    i2 p1;
    i2 p2;
} i2x3;

f2 f2_from_f3(f3 v);
i2 i2_from_f2(f2 v);

f3 add_f3(f3 l, f3 r);

f2 mul_f2_f2x2(f2 l, f2x2 r);
f3 mul_f3_f3x3(f3 l, f3x3 r);

#endif