#ifndef _BASIC_GEOMETRY_MATRIX_TYPES_H_
#define _BASIC_GEOMETRY_MATRIX_TYPES_H_

// ================== Matrix2x2 ================= //

typedef struct {
    float r1c1, r1c2;
    float r2c1, r2c2;
} matrix2x2_fp32_t;

typedef struct {
    double r1c1, r1c2;
    double r2c1, r2c2;
} matrix2x2_fp64_t;

// ================== Matrix2x3 ================= //

typedef struct {
    float r1c1, r1c2;
    float r2c1, r2c2;
    float r3c1, r3c2;
} matrix2x3_fp32_t;

typedef struct {
    double r1c1, r1c2;
    double r2c1, r2c2;
    double r3c1, r3c2;
} matrix2x3_fp64_t;

// ================== Matrix3x2 ================= //

typedef struct {
    float r1c1, r1c2, r1c3;
    float r2c1, r2c2, r2c3;
} matrix3x2_fp32_t;

typedef struct {
    double r1c1, r1c2, r1c3;
    double r2c1, r2c2, r2c3;
} matrix3x2_fp64_t;

// ================== Matrix3x3 ================= //

typedef struct {
    float r1c1, r1c2, r1c3;
    float r2c1, r2c2, r2c3;
    float r3c1, r3c2, r3c3;
} matrix3x3_fp32_t;

typedef struct {
    double r1c1, r1c2, r1c3;
    double r2c1, r2c2, r2c3;
    double r3c1, r3c2, r3c3;
} matrix3x3_fp64_t;

// ========== Matrix Product 2x2 at 2x2 ========= //

inline void matrix_fp32_product_2x2_at_2x2(const matrix2x2_fp32_t* matrix1, const matrix2x2_fp32_t* matrix2, matrix2x2_fp32_t* result)
{
    const float r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
    const float r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;

    const float r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
    const float r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;

    result->r1c1 = r1c1;
    result->r1c2 = r1c2;

    result->r2c1 = r2c1;
    result->r2c2 = r2c2;
}

inline void matrix_fp64_product_2x2_at_2x2(const matrix2x2_fp64_t* matrix1, const matrix2x2_fp64_t* matrix2, matrix2x2_fp64_t* result)
{
    const double r1c1 = matrix1->r1c1 * matrix2->r1c1 + matrix1->r1c2 * matrix2->r2c1;
    const double r1c2 = matrix1->r1c1 * matrix2->r1c2 + matrix1->r1c2 * matrix2->r2c2;

    const double r2c1 = matrix1->r2c1 * matrix2->r1c1 + matrix1->r2c2 * matrix2->r2c1;
    const double r2c2 = matrix1->r2c1 * matrix2->r1c2 + matrix1->r2c2 * matrix2->r2c2;

    result->r1c1 = r1c1;
    result->r1c2 = r1c2;

    result->r2c1 = r2c1;
    result->r2c2 = r2c2;
}

// ========== Matrix Product 2x2 at 3x2 ========= //

void matrix_fp32_product_2x2_at_3x2(const matrix2x2_fp32_t* matrix1, const matrix3x2_fp32_t* matrix2, matrix3x2_fp32_t* result);

void matrix_fp64_product_2x2_at_3x2(const matrix2x2_fp64_t* matrix1, const matrix3x2_fp64_t* matrix2, matrix3x2_fp64_t* result);

// ========== Matrix Product 2x3 at 2x2 ========= //

void matrix_fp32_product_2x3_at_2x2(const matrix2x3_fp32_t* matrix1, const matrix2x2_fp32_t* matrix2, matrix2x3_fp32_t* result);

void matrix_fp64_product_2x3_at_2x2(const matrix2x3_fp64_t* matrix1, const matrix2x2_fp64_t* matrix2, matrix2x3_fp64_t* result);

// ========== Matrix Product 2x3 at 3x2 ========= //

void matrix_fp32_product_2x3_at_3x2(const matrix2x3_fp32_t* matrix1, const matrix3x2_fp32_t* matrix2, matrix3x3_fp32_t* result);

void matrix_fp64_product_2x3_at_3x2(const matrix2x3_fp64_t* matrix1, const matrix3x2_fp64_t* matrix2, matrix3x3_fp64_t* result);

// ========== Matrix Product 3x2 at 2x3 ========= //

void matrix_fp32_product_3x2_at_2x3(const matrix3x2_fp32_t* matrix1, const matrix2x3_fp32_t* matrix2, matrix2x2_fp32_t* result);

void matrix_fp64_product_3x2_at_2x3(const matrix3x2_fp64_t* matrix1, const matrix2x3_fp64_t* matrix2, matrix2x2_fp64_t* result);

// ========== Matrix Product 3x2 at 3x3 ========= //

void matrix_fp32_product_3x2_at_3x3(const matrix3x2_fp32_t* matrix1, const matrix3x3_fp32_t* matrix2, matrix3x2_fp32_t* result);

void matrix_fp64_product_3x2_at_3x3(const matrix3x2_fp64_t* matrix1, const matrix3x3_fp64_t* matrix2, matrix3x2_fp64_t* result);

// ========== Matrix Product 3x3 at 2x3 ========= //

void matrix_fp32_product_3x3_at_2x3(const matrix3x3_fp32_t* matrix1, const matrix2x3_fp32_t* matrix2, matrix2x3_fp32_t* result);

void matrix_fp64_product_3x3_at_2x3(const matrix3x3_fp64_t* matrix1, const matrix2x3_fp64_t* matrix2, matrix2x3_fp64_t* result);

// ========== Matrix Product 3x3 at 3x3 ========= //

void matrix_fp32_product_3x3_at_3x3(const matrix3x3_fp32_t* matrix1, const matrix3x3_fp32_t* matrix2, matrix3x3_fp32_t* result);

void matrix_fp64_product_3x3_at_3x3(const matrix3x3_fp64_t* matrix1, const matrix3x3_fp64_t* matrix2, matrix3x3_fp64_t* result);

#endif // _GEOMETRY_MATRIX_TYPES_H_