diff options
Diffstat (limited to 'core/math/basis.h')
-rw-r--r-- | core/math/basis.h | 165 |
1 files changed, 77 insertions, 88 deletions
diff --git a/core/math/basis.h b/core/math/basis.h index 683f05150c..9cce22510b 100644 --- a/core/math/basis.h +++ b/core/math/basis.h @@ -35,17 +35,17 @@ #include "core/math/vector3.h" struct _NO_DISCARD_ Basis { - Vector3 elements[3] = { + Vector3 rows[3] = { Vector3(1, 0, 0), Vector3(0, 1, 0), Vector3(0, 0, 1) }; _FORCE_INLINE_ const Vector3 &operator[](int axis) const { - return elements[axis]; + return rows[axis]; } _FORCE_INLINE_ Vector3 &operator[](int axis) { - return elements[axis]; + return rows[axis]; } void invert(); @@ -58,22 +58,11 @@ struct _NO_DISCARD_ Basis { void from_z(const Vector3 &p_z); - _FORCE_INLINE_ Vector3 get_axis(int p_axis) const { - // get actual basis axis (elements is transposed for performance) - return Vector3(elements[0][p_axis], elements[1][p_axis], elements[2][p_axis]); - } - _FORCE_INLINE_ void set_axis(int p_axis, const Vector3 &p_value) { - // get actual basis axis (elements is transposed for performance) - elements[0][p_axis] = p_value.x; - elements[1][p_axis] = p_value.y; - elements[2][p_axis] = p_value.z; - } + void rotate(const Vector3 &p_axis, real_t p_angle); + Basis rotated(const Vector3 &p_axis, real_t p_angle) const; - void rotate(const Vector3 &p_axis, real_t p_phi); - Basis rotated(const Vector3 &p_axis, real_t p_phi) const; - - void rotate_local(const Vector3 &p_axis, real_t p_phi); - Basis rotated_local(const Vector3 &p_axis, real_t p_phi) const; + void rotate_local(const Vector3 &p_axis, real_t p_angle); + Basis rotated_local(const Vector3 &p_axis, real_t p_angle) const; void rotate(const Vector3 &p_euler); Basis rotated(const Vector3 &p_euler) const; @@ -111,7 +100,7 @@ struct _NO_DISCARD_ Basis { void set_quaternion(const Quaternion &p_quaternion); void get_axis_angle(Vector3 &r_axis, real_t &r_angle) const; - void set_axis_angle(const Vector3 &p_axis, real_t p_phi); + void set_axis_angle(const Vector3 &p_axis, real_t p_angle); void scale(const Vector3 &p_scale); Basis scaled(const Vector3 &p_scale) const; @@ -129,19 +118,19 @@ struct _NO_DISCARD_ Basis { Vector3 get_scale_abs() const; Vector3 get_scale_local() const; - void set_axis_angle_scale(const Vector3 &p_axis, real_t p_phi, const Vector3 &p_scale); + void set_axis_angle_scale(const Vector3 &p_axis, real_t p_angle, const Vector3 &p_scale); void set_euler_scale(const Vector3 &p_euler, const Vector3 &p_scale); void set_quaternion_scale(const Quaternion &p_quaternion, const Vector3 &p_scale); // transposed dot products _FORCE_INLINE_ real_t tdotx(const Vector3 &v) const { - return elements[0][0] * v[0] + elements[1][0] * v[1] + elements[2][0] * v[2]; + return rows[0][0] * v[0] + rows[1][0] * v[1] + rows[2][0] * v[2]; } _FORCE_INLINE_ real_t tdoty(const Vector3 &v) const { - return elements[0][1] * v[0] + elements[1][1] * v[1] + elements[2][1] * v[2]; + return rows[0][1] * v[0] + rows[1][1] * v[1] + rows[2][1] * v[2]; } _FORCE_INLINE_ real_t tdotz(const Vector3 &v) const { - return elements[0][2] * v[0] + elements[1][2] * v[1] + elements[2][2] * v[2]; + return rows[0][2] * v[0] + rows[1][2] * v[1] + rows[2][2] * v[2]; } bool is_equal_approx(const Basis &p_basis) const; @@ -176,55 +165,55 @@ struct _NO_DISCARD_ Basis { /* create / set */ _FORCE_INLINE_ void set(real_t xx, real_t xy, real_t xz, real_t yx, real_t yy, real_t yz, real_t zx, real_t zy, real_t zz) { - elements[0][0] = xx; - elements[0][1] = xy; - elements[0][2] = xz; - elements[1][0] = yx; - elements[1][1] = yy; - elements[1][2] = yz; - elements[2][0] = zx; - elements[2][1] = zy; - elements[2][2] = zz; - } - _FORCE_INLINE_ void set(const Vector3 &p_x, const Vector3 &p_y, const Vector3 &p_z) { - set_axis(0, p_x); - set_axis(1, p_y); - set_axis(2, p_z); + rows[0][0] = xx; + rows[0][1] = xy; + rows[0][2] = xz; + rows[1][0] = yx; + rows[1][1] = yy; + rows[1][2] = yz; + rows[2][0] = zx; + rows[2][1] = zy; + rows[2][2] = zz; } - _FORCE_INLINE_ Vector3 get_column(int i) const { - return Vector3(elements[0][i], elements[1][i], elements[2][i]); + _FORCE_INLINE_ void set_columns(const Vector3 &p_x, const Vector3 &p_y, const Vector3 &p_z) { + set_column(0, p_x); + set_column(1, p_y); + set_column(2, p_z); } - _FORCE_INLINE_ Vector3 get_row(int i) const { - return Vector3(elements[i][0], elements[i][1], elements[i][2]); + _FORCE_INLINE_ Vector3 get_column(int p_index) const { + // Get actual basis axis column (we store transposed as rows for performance). + return Vector3(rows[0][p_index], rows[1][p_index], rows[2][p_index]); } - _FORCE_INLINE_ Vector3 get_main_diagonal() const { - return Vector3(elements[0][0], elements[1][1], elements[2][2]); + + _FORCE_INLINE_ void set_column(int p_index, const Vector3 &p_value) { + // Set actual basis axis column (we store transposed as rows for performance). + rows[0][p_index] = p_value.x; + rows[1][p_index] = p_value.y; + rows[2][p_index] = p_value.z; } - _FORCE_INLINE_ void set_row(int i, const Vector3 &p_row) { - elements[i][0] = p_row.x; - elements[i][1] = p_row.y; - elements[i][2] = p_row.z; + _FORCE_INLINE_ Vector3 get_main_diagonal() const { + return Vector3(rows[0][0], rows[1][1], rows[2][2]); } _FORCE_INLINE_ void set_zero() { - elements[0].zero(); - elements[1].zero(); - elements[2].zero(); + rows[0].zero(); + rows[1].zero(); + rows[2].zero(); } _FORCE_INLINE_ Basis transpose_xform(const Basis &m) const { return Basis( - elements[0].x * m[0].x + elements[1].x * m[1].x + elements[2].x * m[2].x, - elements[0].x * m[0].y + elements[1].x * m[1].y + elements[2].x * m[2].y, - elements[0].x * m[0].z + elements[1].x * m[1].z + elements[2].x * m[2].z, - elements[0].y * m[0].x + elements[1].y * m[1].x + elements[2].y * m[2].x, - elements[0].y * m[0].y + elements[1].y * m[1].y + elements[2].y * m[2].y, - elements[0].y * m[0].z + elements[1].y * m[1].z + elements[2].y * m[2].z, - elements[0].z * m[0].x + elements[1].z * m[1].x + elements[2].z * m[2].x, - elements[0].z * m[0].y + elements[1].z * m[1].y + elements[2].z * m[2].y, - elements[0].z * m[0].z + elements[1].z * m[1].z + elements[2].z * m[2].z); + rows[0].x * m[0].x + rows[1].x * m[1].x + rows[2].x * m[2].x, + rows[0].x * m[0].y + rows[1].x * m[1].y + rows[2].x * m[2].y, + rows[0].x * m[0].z + rows[1].x * m[1].z + rows[2].x * m[2].z, + rows[0].y * m[0].x + rows[1].y * m[1].x + rows[2].y * m[2].x, + rows[0].y * m[0].y + rows[1].y * m[1].y + rows[2].y * m[2].y, + rows[0].y * m[0].z + rows[1].y * m[1].z + rows[2].y * m[2].z, + rows[0].z * m[0].x + rows[1].z * m[1].x + rows[2].z * m[2].x, + rows[0].z * m[0].y + rows[1].z * m[1].y + rows[2].z * m[2].y, + rows[0].z * m[0].z + rows[1].z * m[1].z + rows[2].z * m[2].z); } Basis(real_t xx, real_t xy, real_t xz, real_t yx, real_t yy, real_t yz, real_t zx, real_t zy, real_t zz) { set(xx, xy, xz, yx, yy, yz, zx, zy, zz); @@ -248,14 +237,14 @@ struct _NO_DISCARD_ Basis { Basis(const Quaternion &p_quaternion) { set_quaternion(p_quaternion); }; Basis(const Quaternion &p_quaternion, const Vector3 &p_scale) { set_quaternion_scale(p_quaternion, p_scale); } - Basis(const Vector3 &p_axis, real_t p_phi) { set_axis_angle(p_axis, p_phi); } - Basis(const Vector3 &p_axis, real_t p_phi, const Vector3 &p_scale) { set_axis_angle_scale(p_axis, p_phi, p_scale); } + Basis(const Vector3 &p_axis, real_t p_angle) { set_axis_angle(p_axis, p_angle); } + Basis(const Vector3 &p_axis, real_t p_angle, const Vector3 &p_scale) { set_axis_angle_scale(p_axis, p_angle, p_scale); } static Basis from_scale(const Vector3 &p_scale); _FORCE_INLINE_ Basis(const Vector3 &row0, const Vector3 &row1, const Vector3 &row2) { - elements[0] = row0; - elements[1] = row1; - elements[2] = row2; + rows[0] = row0; + rows[1] = row1; + rows[2] = row2; } _FORCE_INLINE_ Basis() {} @@ -267,22 +256,22 @@ private: _FORCE_INLINE_ void Basis::operator*=(const Basis &p_matrix) { set( - p_matrix.tdotx(elements[0]), p_matrix.tdoty(elements[0]), p_matrix.tdotz(elements[0]), - p_matrix.tdotx(elements[1]), p_matrix.tdoty(elements[1]), p_matrix.tdotz(elements[1]), - p_matrix.tdotx(elements[2]), p_matrix.tdoty(elements[2]), p_matrix.tdotz(elements[2])); + p_matrix.tdotx(rows[0]), p_matrix.tdoty(rows[0]), p_matrix.tdotz(rows[0]), + p_matrix.tdotx(rows[1]), p_matrix.tdoty(rows[1]), p_matrix.tdotz(rows[1]), + p_matrix.tdotx(rows[2]), p_matrix.tdoty(rows[2]), p_matrix.tdotz(rows[2])); } _FORCE_INLINE_ Basis Basis::operator*(const Basis &p_matrix) const { return Basis( - p_matrix.tdotx(elements[0]), p_matrix.tdoty(elements[0]), p_matrix.tdotz(elements[0]), - p_matrix.tdotx(elements[1]), p_matrix.tdoty(elements[1]), p_matrix.tdotz(elements[1]), - p_matrix.tdotx(elements[2]), p_matrix.tdoty(elements[2]), p_matrix.tdotz(elements[2])); + p_matrix.tdotx(rows[0]), p_matrix.tdoty(rows[0]), p_matrix.tdotz(rows[0]), + p_matrix.tdotx(rows[1]), p_matrix.tdoty(rows[1]), p_matrix.tdotz(rows[1]), + p_matrix.tdotx(rows[2]), p_matrix.tdoty(rows[2]), p_matrix.tdotz(rows[2])); } _FORCE_INLINE_ void Basis::operator+=(const Basis &p_matrix) { - elements[0] += p_matrix.elements[0]; - elements[1] += p_matrix.elements[1]; - elements[2] += p_matrix.elements[2]; + rows[0] += p_matrix.rows[0]; + rows[1] += p_matrix.rows[1]; + rows[2] += p_matrix.rows[2]; } _FORCE_INLINE_ Basis Basis::operator+(const Basis &p_matrix) const { @@ -292,9 +281,9 @@ _FORCE_INLINE_ Basis Basis::operator+(const Basis &p_matrix) const { } _FORCE_INLINE_ void Basis::operator-=(const Basis &p_matrix) { - elements[0] -= p_matrix.elements[0]; - elements[1] -= p_matrix.elements[1]; - elements[2] -= p_matrix.elements[2]; + rows[0] -= p_matrix.rows[0]; + rows[1] -= p_matrix.rows[1]; + rows[2] -= p_matrix.rows[2]; } _FORCE_INLINE_ Basis Basis::operator-(const Basis &p_matrix) const { @@ -304,9 +293,9 @@ _FORCE_INLINE_ Basis Basis::operator-(const Basis &p_matrix) const { } _FORCE_INLINE_ void Basis::operator*=(const real_t p_val) { - elements[0] *= p_val; - elements[1] *= p_val; - elements[2] *= p_val; + rows[0] *= p_val; + rows[1] *= p_val; + rows[2] *= p_val; } _FORCE_INLINE_ Basis Basis::operator*(const real_t p_val) const { @@ -317,22 +306,22 @@ _FORCE_INLINE_ Basis Basis::operator*(const real_t p_val) const { Vector3 Basis::xform(const Vector3 &p_vector) const { return Vector3( - elements[0].dot(p_vector), - elements[1].dot(p_vector), - elements[2].dot(p_vector)); + rows[0].dot(p_vector), + rows[1].dot(p_vector), + rows[2].dot(p_vector)); } Vector3 Basis::xform_inv(const Vector3 &p_vector) const { return Vector3( - (elements[0][0] * p_vector.x) + (elements[1][0] * p_vector.y) + (elements[2][0] * p_vector.z), - (elements[0][1] * p_vector.x) + (elements[1][1] * p_vector.y) + (elements[2][1] * p_vector.z), - (elements[0][2] * p_vector.x) + (elements[1][2] * p_vector.y) + (elements[2][2] * p_vector.z)); + (rows[0][0] * p_vector.x) + (rows[1][0] * p_vector.y) + (rows[2][0] * p_vector.z), + (rows[0][1] * p_vector.x) + (rows[1][1] * p_vector.y) + (rows[2][1] * p_vector.z), + (rows[0][2] * p_vector.x) + (rows[1][2] * p_vector.y) + (rows[2][2] * p_vector.z)); } real_t Basis::determinant() const { - return elements[0][0] * (elements[1][1] * elements[2][2] - elements[2][1] * elements[1][2]) - - elements[1][0] * (elements[0][1] * elements[2][2] - elements[2][1] * elements[0][2]) + - elements[2][0] * (elements[0][1] * elements[1][2] - elements[1][1] * elements[0][2]); + return rows[0][0] * (rows[1][1] * rows[2][2] - rows[2][1] * rows[1][2]) - + rows[1][0] * (rows[0][1] * rows[2][2] - rows[2][1] * rows[0][2]) + + rows[2][0] * (rows[0][1] * rows[1][2] - rows[1][1] * rows[0][2]); } #endif // BASIS_H |