Rename Transform2D "elements" to "columns"

4 files changed, 121 insertions, 121 deletions

diff --git a/core/math/math_fieldwise.cpp b/core/math/math_fieldwise.cpp
index 1717ecd74b..d74e19f223 100644
--- a/core/math/math_fieldwise.cpp
+++ b/core/math/math_fieldwise.cpp
@@ -115,12 +115,12 @@ Variant fieldwise_assign(const Variant &p_target, const Variant &p_source, const
 		case Variant::TRANSFORM2D: {
 			SETUP_TYPE(Transform2D)
 
-			/**/ TRY_TRANSFER_FIELD("xx", elements[0][0])
-			else TRY_TRANSFER_FIELD("xy", elements[0][1])
-			else TRY_TRANSFER_FIELD("yx", elements[1][0])
-			else TRY_TRANSFER_FIELD("yy", elements[1][1])
-			else TRY_TRANSFER_FIELD("ox", elements[2][0])
-			else TRY_TRANSFER_FIELD("oy", elements[2][1])
+			/**/ TRY_TRANSFER_FIELD("xx", columns[0][0])
+			else TRY_TRANSFER_FIELD("xy", columns[0][1])
+			else TRY_TRANSFER_FIELD("yx", columns[1][0])
+			else TRY_TRANSFER_FIELD("yy", columns[1][1])
+			else TRY_TRANSFER_FIELD("ox", columns[2][0])
+			else TRY_TRANSFER_FIELD("oy", columns[2][1])
 
 			return target;
 		}
diff --git a/core/math/rect2.cpp b/core/math/rect2.cpp
index d6e20bdc3c..9e78ead816 100644
--- a/core/math/rect2.cpp
+++ b/core/math/rect2.cpp
@@ -201,33 +201,33 @@ next4:
 		Vector2(position.x + size.x, position.y + size.y),
 	};
 
-	real_t maxa = p_xform.elements[0].dot(xf_points2[0]);
+	real_t maxa = p_xform.columns[0].dot(xf_points2[0]);
 	real_t mina = maxa;
 
-	real_t dp = p_xform.elements[0].dot(xf_points2[1]);
+	real_t dp = p_xform.columns[0].dot(xf_points2[1]);
 	maxa = MAX(dp, maxa);
 	mina = MIN(dp, mina);
 
-	dp = p_xform.elements[0].dot(xf_points2[2]);
+	dp = p_xform.columns[0].dot(xf_points2[2]);
 	maxa = MAX(dp, maxa);
 	mina = MIN(dp, mina);
 
-	dp = p_xform.elements[0].dot(xf_points2[3]);
+	dp = p_xform.columns[0].dot(xf_points2[3]);
 	maxa = MAX(dp, maxa);
 	mina = MIN(dp, mina);
 
-	real_t maxb = p_xform.elements[0].dot(xf_points[0]);
+	real_t maxb = p_xform.columns[0].dot(xf_points[0]);
 	real_t minb = maxb;
 
-	dp = p_xform.elements[0].dot(xf_points[1]);
+	dp = p_xform.columns[0].dot(xf_points[1]);
 	maxb = MAX(dp, maxb);
 	minb = MIN(dp, minb);
 
-	dp = p_xform.elements[0].dot(xf_points[2]);
+	dp = p_xform.columns[0].dot(xf_points[2]);
 	maxb = MAX(dp, maxb);
 	minb = MIN(dp, minb);
 
-	dp = p_xform.elements[0].dot(xf_points[3]);
+	dp = p_xform.columns[0].dot(xf_points[3]);
 	maxb = MAX(dp, maxb);
 	minb = MIN(dp, minb);
 
@@ -238,33 +238,33 @@ next4:
 		return false;
 	}
 
-	maxa = p_xform.elements[1].dot(xf_points2[0]);
+	maxa = p_xform.columns[1].dot(xf_points2[0]);
 	mina = maxa;
 
-	dp = p_xform.elements[1].dot(xf_points2[1]);
+	dp = p_xform.columns[1].dot(xf_points2[1]);
 	maxa = MAX(dp, maxa);
 	mina = MIN(dp, mina);
 
-	dp = p_xform.elements[1].dot(xf_points2[2]);
+	dp = p_xform.columns[1].dot(xf_points2[2]);
 	maxa = MAX(dp, maxa);
 	mina = MIN(dp, mina);
 
-	dp = p_xform.elements[1].dot(xf_points2[3]);
+	dp = p_xform.columns[1].dot(xf_points2[3]);
 	maxa = MAX(dp, maxa);
 	mina = MIN(dp, mina);
 
-	maxb = p_xform.elements[1].dot(xf_points[0]);
+	maxb = p_xform.columns[1].dot(xf_points[0]);
 	minb = maxb;
 
-	dp = p_xform.elements[1].dot(xf_points[1]);
+	dp = p_xform.columns[1].dot(xf_points[1]);
 	maxb = MAX(dp, maxb);
 	minb = MIN(dp, minb);
 
-	dp = p_xform.elements[1].dot(xf_points[2]);
+	dp = p_xform.columns[1].dot(xf_points[2]);
 	maxb = MAX(dp, maxb);
 	minb = MIN(dp, minb);
 
-	dp = p_xform.elements[1].dot(xf_points[3]);
+	dp = p_xform.columns[1].dot(xf_points[3]);
 	maxb = MAX(dp, maxb);
 	minb = MIN(dp, minb);
 
diff --git a/core/math/transform_2d.cpp b/core/math/transform_2d.cpp
index 71953e4130..5c946d550b 100644
--- a/core/math/transform_2d.cpp
+++ b/core/math/transform_2d.cpp
@@ -35,8 +35,8 @@
 void Transform2D::invert() {
 	// FIXME: this function assumes the basis is a rotation matrix, with no scaling.
 	// Transform2D::affine_inverse can handle matrices with scaling, so GDScript should eventually use that.
-	SWAP(elements[0][1], elements[1][0]);
-	elements[2] = basis_xform(-elements[2]);
+	SWAP(columns[0][1], columns[1][0]);
+	columns[2] = basis_xform(-columns[2]);
 }
 
 Transform2D Transform2D::inverse() const {
@@ -52,11 +52,11 @@ void Transform2D::affine_invert() {
 #endif
 	real_t idet = 1.0f / det;
 
-	SWAP(elements[0][0], elements[1][1]);
-	elements[0] *= Vector2(idet, -idet);
-	elements[1] *= Vector2(-idet, idet);
+	SWAP(columns[0][0], columns[1][1]);
+	columns[0] *= Vector2(idet, -idet);
+	columns[1] *= Vector2(-idet, idet);
 
-	elements[2] = basis_xform(-elements[2]);
+	columns[2] = basis_xform(-columns[2]);
 }
 
 Transform2D Transform2D::affine_inverse() const {
@@ -71,69 +71,69 @@ void Transform2D::rotate(const real_t p_phi) {
 
 real_t Transform2D::get_skew() const {
 	real_t det = basis_determinant();
-	return Math::acos(elements[0].normalized().dot(SIGN(det) * elements[1].normalized())) - (real_t)Math_PI * 0.5f;
+	return Math::acos(columns[0].normalized().dot(SIGN(det) * columns[1].normalized())) - (real_t)Math_PI * 0.5f;
 }
 
 void Transform2D::set_skew(const real_t p_angle) {
 	real_t det = basis_determinant();
-	elements[1] = SIGN(det) * elements[0].rotated(((real_t)Math_PI * 0.5f + p_angle)).normalized() * elements[1].length();
+	columns[1] = SIGN(det) * columns[0].rotated(((real_t)Math_PI * 0.5f + p_angle)).normalized() * columns[1].length();
 }
 
 real_t Transform2D::get_rotation() const {
-	return Math::atan2(elements[0].y, elements[0].x);
+	return Math::atan2(columns[0].y, columns[0].x);
 }
 
 void Transform2D::set_rotation(const real_t p_rot) {
 	Size2 scale = get_scale();
 	real_t cr = Math::cos(p_rot);
 	real_t sr = Math::sin(p_rot);
-	elements[0][0] = cr;
-	elements[0][1] = sr;
-	elements[1][0] = -sr;
-	elements[1][1] = cr;
+	columns[0][0] = cr;
+	columns[0][1] = sr;
+	columns[1][0] = -sr;
+	columns[1][1] = cr;
 	set_scale(scale);
 }
 
 Transform2D::Transform2D(const real_t p_rot, const Vector2 &p_pos) {
 	real_t cr = Math::cos(p_rot);
 	real_t sr = Math::sin(p_rot);
-	elements[0][0] = cr;
-	elements[0][1] = sr;
-	elements[1][0] = -sr;
-	elements[1][1] = cr;
-	elements[2] = p_pos;
+	columns[0][0] = cr;
+	columns[0][1] = sr;
+	columns[1][0] = -sr;
+	columns[1][1] = cr;
+	columns[2] = p_pos;
 }
 
 Transform2D::Transform2D(const real_t p_rot, const Size2 &p_scale, const real_t p_skew, const Vector2 &p_pos) {
-	elements[0][0] = Math::cos(p_rot) * p_scale.x;
-	elements[1][1] = Math::cos(p_rot + p_skew) * p_scale.y;
-	elements[1][0] = -Math::sin(p_rot + p_skew) * p_scale.y;
-	elements[0][1] = Math::sin(p_rot) * p_scale.x;
-	elements[2] = p_pos;
+	columns[0][0] = Math::cos(p_rot) * p_scale.x;
+	columns[1][1] = Math::cos(p_rot + p_skew) * p_scale.y;
+	columns[1][0] = -Math::sin(p_rot + p_skew) * p_scale.y;
+	columns[0][1] = Math::sin(p_rot) * p_scale.x;
+	columns[2] = p_pos;
 }
 
 Size2 Transform2D::get_scale() const {
 	real_t det_sign = SIGN(basis_determinant());
-	return Size2(elements[0].length(), det_sign * elements[1].length());
+	return Size2(columns[0].length(), det_sign * columns[1].length());
 }
 
 void Transform2D::set_scale(const Size2 &p_scale) {
-	elements[0].normalize();
-	elements[1].normalize();
-	elements[0] *= p_scale.x;
-	elements[1] *= p_scale.y;
+	columns[0].normalize();
+	columns[1].normalize();
+	columns[0] *= p_scale.x;
+	columns[1] *= p_scale.y;
 }
 
 void Transform2D::scale(const Size2 &p_scale) {
 	scale_basis(p_scale);
-	elements[2] *= p_scale;
+	columns[2] *= p_scale;
 }
 
 void Transform2D::scale_basis(const Size2 &p_scale) {
-	elements[0][0] *= p_scale.x;
-	elements[0][1] *= p_scale.y;
-	elements[1][0] *= p_scale.x;
-	elements[1][1] *= p_scale.y;
+	columns[0][0] *= p_scale.x;
+	columns[0][1] *= p_scale.y;
+	columns[1][0] *= p_scale.x;
+	columns[1][1] *= p_scale.y;
 }
 
 void Transform2D::translate(const real_t p_tx, const real_t p_ty) {
@@ -141,21 +141,21 @@ void Transform2D::translate(const real_t p_tx, const real_t p_ty) {
 }
 
 void Transform2D::translate(const Vector2 &p_translation) {
-	elements[2] += basis_xform(p_translation);
+	columns[2] += basis_xform(p_translation);
 }
 
 void Transform2D::orthonormalize() {
 	// Gram-Schmidt Process
 
-	Vector2 x = elements[0];
-	Vector2 y = elements[1];
+	Vector2 x = columns[0];
+	Vector2 y = columns[1];
 
 	x.normalize();
 	y = (y - x * (x.dot(y)));
 	y.normalize();
 
-	elements[0] = x;
-	elements[1] = y;
+	columns[0] = x;
+	columns[1] = y;
 }
 
 Transform2D Transform2D::orthonormalized() const {
@@ -165,7 +165,7 @@ Transform2D Transform2D::orthonormalized() const {
 }
 
 bool Transform2D::is_equal_approx(const Transform2D &p_transform) const {
-	return elements[0].is_equal_approx(p_transform.elements[0]) && elements[1].is_equal_approx(p_transform.elements[1]) && elements[2].is_equal_approx(p_transform.elements[2]);
+	return columns[0].is_equal_approx(p_transform.columns[0]) && columns[1].is_equal_approx(p_transform.columns[1]) && columns[2].is_equal_approx(p_transform.columns[2]);
 }
 
 Transform2D Transform2D::looking_at(const Vector2 &p_target) const {
@@ -177,7 +177,7 @@ Transform2D Transform2D::looking_at(const Vector2 &p_target) const {
 
 bool Transform2D::operator==(const Transform2D &p_transform) const {
 	for (int i = 0; i < 3; i++) {
-		if (elements[i] != p_transform.elements[i]) {
+		if (columns[i] != p_transform.columns[i]) {
 			return false;
 		}
 	}
@@ -187,7 +187,7 @@ bool Transform2D::operator==(const Transform2D &p_transform) const {
 
 bool Transform2D::operator!=(const Transform2D &p_transform) const {
 	for (int i = 0; i < 3; i++) {
-		if (elements[i] != p_transform.elements[i]) {
+		if (columns[i] != p_transform.columns[i]) {
 			return true;
 		}
 	}
@@ -196,19 +196,19 @@ bool Transform2D::operator!=(const Transform2D &p_transform) const {
 }
 
 void Transform2D::operator*=(const Transform2D &p_transform) {
-	elements[2] = xform(p_transform.elements[2]);
+	columns[2] = xform(p_transform.columns[2]);
 
 	real_t x0, x1, y0, y1;
 
-	x0 = tdotx(p_transform.elements[0]);
-	x1 = tdoty(p_transform.elements[0]);
-	y0 = tdotx(p_transform.elements[1]);
-	y1 = tdoty(p_transform.elements[1]);
+	x0 = tdotx(p_transform.columns[0]);
+	x1 = tdoty(p_transform.columns[0]);
+	y0 = tdotx(p_transform.columns[1]);
+	y1 = tdoty(p_transform.columns[1]);
 
-	elements[0][0] = x0;
-	elements[0][1] = x1;
-	elements[1][0] = y0;
-	elements[1][1] = y1;
+	columns[0][0] = x0;
+	columns[0][1] = x1;
+	columns[1][0] = y0;
+	columns[1][1] = y1;
 }
 
 Transform2D Transform2D::operator*(const Transform2D &p_transform) const {
@@ -231,7 +231,7 @@ Transform2D Transform2D::basis_scaled(const Size2 &p_scale) const {
 
 Transform2D Transform2D::untranslated() const {
 	Transform2D copy = *this;
-	copy.elements[2] = Vector2();
+	copy.columns[2] = Vector2();
 	return copy;
 }
 
@@ -248,7 +248,7 @@ Transform2D Transform2D::rotated(const real_t p_phi) const {
 }
 
 real_t Transform2D::basis_determinant() const {
-	return elements[0].x * elements[1].y - elements[0].y * elements[1].x;
+	return columns[0].x * columns[1].y - columns[0].y * columns[1].x;
 }
 
 Transform2D Transform2D::interpolate_with(const Transform2D &p_transform, const real_t p_c) const {
@@ -287,9 +287,9 @@ Transform2D Transform2D::interpolate_with(const Transform2D &p_transform, const
 }
 
 void Transform2D::operator*=(const real_t p_val) {
-	elements[0] *= p_val;
-	elements[1] *= p_val;
-	elements[2] *= p_val;
+	columns[0] *= p_val;
+	columns[1] *= p_val;
+	columns[2] *= p_val;
 }
 
 Transform2D Transform2D::operator*(const real_t p_val) const {
@@ -299,7 +299,7 @@ Transform2D Transform2D::operator*(const real_t p_val) const {
 }
 
 Transform2D::operator String() const {
-	return "[X: " + elements[0].operator String() +
-			", Y: " + elements[1].operator String() +
-			", O: " + elements[2].operator String() + "]";
+	return "[X: " + columns[0].operator String() +
+			", Y: " + columns[1].operator String() +
+			", O: " + columns[2].operator String() + "]";
 }
diff --git a/core/math/transform_2d.h b/core/math/transform_2d.h
index f4546c13c8..1ad874aef9 100644
--- a/core/math/transform_2d.h
+++ b/core/math/transform_2d.h
@@ -39,32 +39,32 @@
 class String;
 
 struct _NO_DISCARD_ Transform2D {
-	// Warning #1: basis of Transform2D is stored differently from Basis. In terms of elements array, the basis matrix looks like "on paper":
-	// M = (elements[0][0] elements[1][0])
-	//     (elements[0][1] elements[1][1])
-	// This is such that the columns, which can be interpreted as basis vectors of the coordinate system "painted" on the object, can be accessed as elements[i].
-	// Note that this is the opposite of the indices in mathematical texts, meaning: $M_{12}$ in a math book corresponds to elements[1][0] here.
+	// Warning #1: basis of Transform2D is stored differently from Basis. In terms of columns array, the basis matrix looks like "on paper":
+	// M = (columns[0][0] columns[1][0])
+	//     (columns[0][1] columns[1][1])
+	// This is such that the columns, which can be interpreted as basis vectors of the coordinate system "painted" on the object, can be accessed as columns[i].
+	// Note that this is the opposite of the indices in mathematical texts, meaning: $M_{12}$ in a math book corresponds to columns[1][0] here.
 	// This requires additional care when working with explicit indices.
 	// See https://en.wikipedia.org/wiki/Row-_and_column-major_order for further reading.
 
 	// Warning #2: 2D be aware that unlike 3D code, 2D code uses a left-handed coordinate system: Y-axis points down,
 	// and angle is measure from +X to +Y in a clockwise-fashion.
 
-	Vector2 elements[3];
+	Vector2 columns[3];
 
-	_FORCE_INLINE_ real_t tdotx(const Vector2 &v) const { return elements[0][0] * v.x + elements[1][0] * v.y; }
-	_FORCE_INLINE_ real_t tdoty(const Vector2 &v) const { return elements[0][1] * v.x + elements[1][1] * v.y; }
+	_FORCE_INLINE_ real_t tdotx(const Vector2 &v) const { return columns[0][0] * v.x + columns[1][0] * v.y; }
+	_FORCE_INLINE_ real_t tdoty(const Vector2 &v) const { return columns[0][1] * v.x + columns[1][1] * v.y; }
 
-	const Vector2 &operator[](int p_idx) const { return elements[p_idx]; }
-	Vector2 &operator[](int p_idx) { return elements[p_idx]; }
+	const Vector2 &operator[](int p_idx) const { return columns[p_idx]; }
+	Vector2 &operator[](int p_idx) { return columns[p_idx]; }
 
 	_FORCE_INLINE_ Vector2 get_axis(int p_axis) const {
 		ERR_FAIL_INDEX_V(p_axis, 3, Vector2());
-		return elements[p_axis];
+		return columns[p_axis];
 	}
 	_FORCE_INLINE_ void set_axis(int p_axis, const Vector2 &p_vec) {
 		ERR_FAIL_INDEX(p_axis, 3);
-		elements[p_axis] = p_vec;
+		columns[p_axis] = p_vec;
 	}
 
 	void invert();
@@ -91,8 +91,8 @@ struct _NO_DISCARD_ Transform2D {
 	Size2 get_scale() const;
 	void set_scale(const Size2 &p_scale);
 
-	_FORCE_INLINE_ const Vector2 &get_origin() const { return elements[2]; }
-	_FORCE_INLINE_ void set_origin(const Vector2 &p_origin) { elements[2] = p_origin; }
+	_FORCE_INLINE_ const Vector2 &get_origin() const { return columns[2]; }
+	_FORCE_INLINE_ void set_origin(const Vector2 &p_origin) { columns[2] = p_origin; }
 
 	Transform2D scaled(const Size2 &p_scale) const;
 	Transform2D basis_scaled(const Size2 &p_scale) const;
@@ -129,18 +129,18 @@ struct _NO_DISCARD_ Transform2D {
 	operator String() const;
 
 	Transform2D(const real_t xx, const real_t xy, const real_t yx, const real_t yy, const real_t ox, const real_t oy) {
-		elements[0][0] = xx;
-		elements[0][1] = xy;
-		elements[1][0] = yx;
-		elements[1][1] = yy;
-		elements[2][0] = ox;
-		elements[2][1] = oy;
+		columns[0][0] = xx;
+		columns[0][1] = xy;
+		columns[1][0] = yx;
+		columns[1][1] = yy;
+		columns[2][0] = ox;
+		columns[2][1] = oy;
 	}
 
 	Transform2D(const Vector2 &p_x, const Vector2 &p_y, const Vector2 &p_origin) {
-		elements[0] = p_x;
-		elements[1] = p_y;
-		elements[2] = p_origin;
+		columns[0] = p_x;
+		columns[1] = p_y;
+		columns[2] = p_origin;
 	}
 
 	Transform2D(const real_t p_rot, const Vector2 &p_pos);
@@ -148,8 +148,8 @@ struct _NO_DISCARD_ Transform2D {
 	Transform2D(const real_t p_rot, const Size2 &p_scale, const real_t p_skew, const Vector2 &p_pos);
 
 	Transform2D() {
-		elements[0][0] = 1.0;
-		elements[1][1] = 1.0;
+		columns[0][0] = 1.0;
+		columns[1][1] = 1.0;
 	}
 };
 
@@ -161,28 +161,28 @@ Vector2 Transform2D::basis_xform(const Vector2 &p_vec) const {
 
 Vector2 Transform2D::basis_xform_inv(const Vector2 &p_vec) const {
 	return Vector2(
-			elements[0].dot(p_vec),
-			elements[1].dot(p_vec));
+			columns[0].dot(p_vec),
+			columns[1].dot(p_vec));
 }
 
 Vector2 Transform2D::xform(const Vector2 &p_vec) const {
 	return Vector2(
 				   tdotx(p_vec),
 				   tdoty(p_vec)) +
-			elements[2];
+			columns[2];
 }
 
 Vector2 Transform2D::xform_inv(const Vector2 &p_vec) const {
-	Vector2 v = p_vec - elements[2];
+	Vector2 v = p_vec - columns[2];
 
 	return Vector2(
-			elements[0].dot(v),
-			elements[1].dot(v));
+			columns[0].dot(v),
+			columns[1].dot(v));
 }
 
 Rect2 Transform2D::xform(const Rect2 &p_rect) const {
-	Vector2 x = elements[0] * p_rect.size.x;
-	Vector2 y = elements[1] * p_rect.size.y;
+	Vector2 x = columns[0] * p_rect.size.x;
+	Vector2 y = columns[1] * p_rect.size.y;
 	Vector2 pos = xform(p_rect.position);
 
 	Rect2 new_rect;
@@ -194,17 +194,17 @@ Rect2 Transform2D::xform(const Rect2 &p_rect) const {
 }
 
 void Transform2D::set_rotation_and_scale(const real_t p_rot, const Size2 &p_scale) {
-	elements[0][0] = Math::cos(p_rot) * p_scale.x;
-	elements[1][1] = Math::cos(p_rot) * p_scale.y;
-	elements[1][0] = -Math::sin(p_rot) * p_scale.y;
-	elements[0][1] = Math::sin(p_rot) * p_scale.x;
+	columns[0][0] = Math::cos(p_rot) * p_scale.x;
+	columns[1][1] = Math::cos(p_rot) * p_scale.y;
+	columns[1][0] = -Math::sin(p_rot) * p_scale.y;
+	columns[0][1] = Math::sin(p_rot) * p_scale.x;
 }
 
 void Transform2D::set_rotation_scale_and_skew(const real_t p_rot, const Size2 &p_scale, const real_t p_skew) {
-	elements[0][0] = Math::cos(p_rot) * p_scale.x;
-	elements[1][1] = Math::cos(p_rot + p_skew) * p_scale.y;
-	elements[1][0] = -Math::sin(p_rot + p_skew) * p_scale.y;
-	elements[0][1] = Math::sin(p_rot) * p_scale.x;
+	columns[0][0] = Math::cos(p_rot) * p_scale.x;
+	columns[1][1] = Math::cos(p_rot + p_skew) * p_scale.y;
+	columns[1][0] = -Math::sin(p_rot + p_skew) * p_scale.y;
+	columns[0][1] = Math::sin(p_rot) * p_scale.x;
 }
 
 Rect2 Transform2D::xform_inv(const Rect2 &p_rect) const {