#pragma once #include "vector.h" /*! \file matrix.h \brief Provides basic matrix types and a few functions which create transformation-matrices. This only provides functionality which is needed elsewhere in Kinc - if you need more, look up how transformation-matrices work and add some functions to your own project. Alternatively the Kore/C++-API also provides a more complete matrix-API. */ #ifdef __cplusplus extern "C" { #endif typedef struct kinc_matrix3x3 { float m[3 * 3]; } kinc_matrix3x3_t; KINC_FUNC float kinc_matrix3x3_get(kinc_matrix3x3_t *matrix, int x, int y); KINC_FUNC void kinc_matrix3x3_set(kinc_matrix3x3_t *matrix, int x, int y, float value); KINC_FUNC void kinc_matrix3x3_transpose(kinc_matrix3x3_t *matrix); KINC_FUNC kinc_matrix3x3_t kinc_matrix3x3_identity(void); KINC_FUNC kinc_matrix3x3_t kinc_matrix3x3_rotation_x(float alpha); KINC_FUNC kinc_matrix3x3_t kinc_matrix3x3_rotation_y(float alpha); KINC_FUNC kinc_matrix3x3_t kinc_matrix3x3_rotation_z(float alpha); KINC_FUNC kinc_matrix3x3_t kinc_matrix3x3_translation(float x, float y); KINC_FUNC kinc_matrix3x3_t kinc_matrix3x3_multiply(kinc_matrix3x3_t *a, kinc_matrix3x3_t *b); KINC_FUNC kinc_vector3_t kinc_matrix3x3_multiply_vector(kinc_matrix3x3_t *a, kinc_vector3_t b); typedef struct kinc_matrix4x4 { float m[4 * 4]; } kinc_matrix4x4_t; KINC_FUNC float kinc_matrix4x4_get(kinc_matrix4x4_t *matrix, int x, int y); KINC_FUNC void kinc_matrix4x4_set(kinc_matrix4x4_t *matrix, int x, int y, float value); KINC_FUNC void kinc_matrix4x4_transpose(kinc_matrix4x4_t *matrix); KINC_FUNC kinc_matrix4x4_t kinc_matrix4x4_multiply(kinc_matrix4x4_t *a, kinc_matrix4x4_t *b); #ifdef KINC_IMPLEMENTATION_MATH #define KINC_IMPLEMENTATION #endif #ifdef KINC_IMPLEMENTATION #ifdef KINC_IMPLEMENTATION_MATH #undef KINC_IMPLEMENTATION #endif #include #include #ifdef KINC_IMPLEMENTATION_MATH #define KINC_IMPLEMENTATION #endif #include float kinc_matrix3x3_get(kinc_matrix3x3_t *matrix, int x, int y) { return matrix->m[x * 3 + y]; } void kinc_matrix3x3_set(kinc_matrix3x3_t *matrix, int x, int y, float value) { matrix->m[x * 3 + y] = value; } void kinc_matrix3x3_transpose(kinc_matrix3x3_t *matrix) { kinc_matrix3x3_t transposed; for (int y = 0; y < 3; ++y) { for (int x = 0; x < 3; ++x) { kinc_matrix3x3_set(&transposed, x, y, kinc_matrix3x3_get(matrix, y, x)); } } memcpy(matrix->m, transposed.m, sizeof(transposed.m)); } kinc_matrix3x3_t kinc_matrix3x3_identity(void) { kinc_matrix3x3_t m; memset(m.m, 0, sizeof(m.m)); for (unsigned x = 0; x < 3; ++x) { kinc_matrix3x3_set(&m, x, x, 1.0f); } return m; } kinc_matrix3x3_t kinc_matrix3x3_rotation_x(float alpha) { kinc_matrix3x3_t m = kinc_matrix3x3_identity(); float ca = cosf(alpha); float sa = sinf(alpha); kinc_matrix3x3_set(&m, 1, 1, ca); kinc_matrix3x3_set(&m, 2, 1, -sa); kinc_matrix3x3_set(&m, 1, 2, sa); kinc_matrix3x3_set(&m, 2, 2, ca); return m; } kinc_matrix3x3_t kinc_matrix3x3_rotation_y(float alpha) { kinc_matrix3x3_t m = kinc_matrix3x3_identity(); float ca = cosf(alpha); float sa = sinf(alpha); kinc_matrix3x3_set(&m, 0, 0, ca); kinc_matrix3x3_set(&m, 2, 0, sa); kinc_matrix3x3_set(&m, 0, 2, -sa); kinc_matrix3x3_set(&m, 2, 2, ca); return m; } kinc_matrix3x3_t kinc_matrix3x3_rotation_z(float alpha) { kinc_matrix3x3_t m = kinc_matrix3x3_identity(); float ca = cosf(alpha); float sa = sinf(alpha); kinc_matrix3x3_set(&m, 0, 0, ca); kinc_matrix3x3_set(&m, 1, 0, -sa); kinc_matrix3x3_set(&m, 0, 1, sa); kinc_matrix3x3_set(&m, 1, 1, ca); return m; } kinc_matrix3x3_t kinc_matrix3x3_translation(float x, float y) { kinc_matrix3x3_t m = kinc_matrix3x3_identity(); kinc_matrix3x3_set(&m, 2, 0, x); kinc_matrix3x3_set(&m, 2, 1, y); return m; } #ifdef __clang__ #pragma clang diagnostic ignored "-Wconditional-uninitialized" #endif kinc_matrix3x3_t kinc_matrix3x3_multiply(kinc_matrix3x3_t *a, kinc_matrix3x3_t *b) { kinc_matrix3x3_t result; for (unsigned x = 0; x < 3; ++x) { for (unsigned y = 0; y < 3; ++y) { float t = kinc_matrix3x3_get(a, 0, y) * kinc_matrix3x3_get(b, x, 0); for (unsigned i = 1; i < 3; ++i) { t += kinc_matrix3x3_get(a, i, y) * kinc_matrix3x3_get(b, x, i); } kinc_matrix3x3_set(&result, x, y, t); } } return result; } static float vector3_get(kinc_vector3_t vec, int index) { float *values = (float *)&vec; return values[index]; } static void vector3_set(kinc_vector3_t *vec, int index, float value) { float *values = (float *)vec; values[index] = value; } kinc_vector3_t kinc_matrix3x3_multiply_vector(kinc_matrix3x3_t *a, kinc_vector3_t b) { kinc_vector3_t product; for (unsigned y = 0; y < 3; ++y) { float t = 0; for (unsigned x = 0; x < 3; ++x) { t += kinc_matrix3x3_get(a, x, y) * vector3_get(b, x); } vector3_set(&product, y, t); } return product; } float kinc_matrix4x4_get(kinc_matrix4x4_t *matrix, int x, int y) { return matrix->m[x * 4 + y]; } void kinc_matrix4x4_set(kinc_matrix4x4_t *matrix, int x, int y, float value) { matrix->m[x * 4 + y] = value; } void kinc_matrix4x4_transpose(kinc_matrix4x4_t *matrix) { kinc_matrix4x4_t transposed; for (int y = 0; y < 4; ++y) { for (int x = 0; x < 4; ++x) { kinc_matrix4x4_set(&transposed, x, y, kinc_matrix4x4_get(matrix, y, x)); } } memcpy(matrix->m, transposed.m, sizeof(transposed.m)); } kinc_matrix4x4_t kinc_matrix4x4_multiply(kinc_matrix4x4_t *a, kinc_matrix4x4_t *b) { kinc_matrix4x4_t result; for (unsigned x = 0; x < 4; ++x) for (unsigned y = 0; y < 4; ++y) { float t = kinc_matrix4x4_get(a, 0, y) * kinc_matrix4x4_get(b, x, 0); for (unsigned i = 1; i < 4; ++i) { t += kinc_matrix4x4_get(a, i, y) * kinc_matrix4x4_get(b, x, i); } kinc_matrix4x4_set(&result, x, y, t); } return result; } #endif #ifdef __cplusplus } #endif