mirror of
https://github.com/godotengine/godot.git
synced 2024-12-27 11:24:59 +08:00
248 lines
9.1 KiB
C++
248 lines
9.1 KiB
C++
/**************************************************************************/
|
|
/* transform_2d.h */
|
|
/**************************************************************************/
|
|
/* This file is part of: */
|
|
/* GODOT ENGINE */
|
|
/* https://godotengine.org */
|
|
/**************************************************************************/
|
|
/* Copyright (c) 2014-present Godot Engine contributors (see AUTHORS.md). */
|
|
/* Copyright (c) 2007-2014 Juan Linietsky, Ariel Manzur. */
|
|
/* */
|
|
/* Permission is hereby granted, free of charge, to any person obtaining */
|
|
/* a copy of this software and associated documentation files (the */
|
|
/* "Software"), to deal in the Software without restriction, including */
|
|
/* without limitation the rights to use, copy, modify, merge, publish, */
|
|
/* distribute, sublicense, and/or sell copies of the Software, and to */
|
|
/* permit persons to whom the Software is furnished to do so, subject to */
|
|
/* the following conditions: */
|
|
/* */
|
|
/* The above copyright notice and this permission notice shall be */
|
|
/* included in all copies or substantial portions of the Software. */
|
|
/* */
|
|
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
|
|
/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
|
|
/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. */
|
|
/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
|
|
/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
|
|
/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
|
|
/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
|
|
/**************************************************************************/
|
|
|
|
#ifndef TRANSFORM_2D_H
|
|
#define TRANSFORM_2D_H
|
|
|
|
#include "core/math/math_funcs.h"
|
|
#include "core/math/rect2.h"
|
|
#include "core/math/vector2.h"
|
|
#include "core/templates/vector.h"
|
|
|
|
class String;
|
|
|
|
struct _NO_DISCARD_ Transform2D {
|
|
// 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 columns[3];
|
|
|
|
_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 columns[p_idx]; }
|
|
Vector2 &operator[](int p_idx) { return columns[p_idx]; }
|
|
|
|
void invert();
|
|
Transform2D inverse() const;
|
|
|
|
void affine_invert();
|
|
Transform2D affine_inverse() const;
|
|
|
|
void set_rotation(const real_t p_rot);
|
|
real_t get_rotation() const;
|
|
real_t get_skew() const;
|
|
void set_skew(const real_t p_angle);
|
|
_FORCE_INLINE_ void set_rotation_and_scale(const real_t p_rot, const Size2 &p_scale);
|
|
_FORCE_INLINE_ void set_rotation_scale_and_skew(const real_t p_rot, const Size2 &p_scale, const real_t p_skew);
|
|
void rotate(const real_t p_angle);
|
|
|
|
void scale(const Size2 &p_scale);
|
|
void scale_basis(const Size2 &p_scale);
|
|
void translate_local(const real_t p_tx, const real_t p_ty);
|
|
void translate_local(const Vector2 &p_translation);
|
|
|
|
real_t determinant() const;
|
|
|
|
Size2 get_scale() const;
|
|
void set_scale(const Size2 &p_scale);
|
|
|
|
_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 scaled_local(const Size2 &p_scale) const;
|
|
Transform2D translated(const Vector2 &p_offset) const;
|
|
Transform2D translated_local(const Vector2 &p_offset) const;
|
|
Transform2D rotated(const real_t p_angle) const;
|
|
Transform2D rotated_local(const real_t p_angle) const;
|
|
|
|
Transform2D untranslated() const;
|
|
|
|
void orthonormalize();
|
|
Transform2D orthonormalized() const;
|
|
bool is_equal_approx(const Transform2D &p_transform) const;
|
|
bool is_finite() const;
|
|
|
|
Transform2D looking_at(const Vector2 &p_target) const;
|
|
|
|
bool operator==(const Transform2D &p_transform) const;
|
|
bool operator!=(const Transform2D &p_transform) const;
|
|
|
|
void operator*=(const Transform2D &p_transform);
|
|
Transform2D operator*(const Transform2D &p_transform) const;
|
|
void operator*=(const real_t p_val);
|
|
Transform2D operator*(const real_t p_val) const;
|
|
|
|
Transform2D interpolate_with(const Transform2D &p_transform, const real_t p_c) const;
|
|
|
|
_FORCE_INLINE_ Vector2 basis_xform(const Vector2 &p_vec) const;
|
|
_FORCE_INLINE_ Vector2 basis_xform_inv(const Vector2 &p_vec) const;
|
|
_FORCE_INLINE_ Vector2 xform(const Vector2 &p_vec) const;
|
|
_FORCE_INLINE_ Vector2 xform_inv(const Vector2 &p_vec) const;
|
|
_FORCE_INLINE_ Rect2 xform(const Rect2 &p_rect) const;
|
|
_FORCE_INLINE_ Rect2 xform_inv(const Rect2 &p_rect) const;
|
|
_FORCE_INLINE_ Vector<Vector2> xform(const Vector<Vector2> &p_array) const;
|
|
_FORCE_INLINE_ Vector<Vector2> xform_inv(const Vector<Vector2> &p_array) const;
|
|
|
|
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) {
|
|
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) {
|
|
columns[0] = p_x;
|
|
columns[1] = p_y;
|
|
columns[2] = p_origin;
|
|
}
|
|
|
|
Transform2D(const real_t p_rot, const Vector2 &p_pos);
|
|
|
|
Transform2D(const real_t p_rot, const Size2 &p_scale, const real_t p_skew, const Vector2 &p_pos);
|
|
|
|
Transform2D() {
|
|
columns[0][0] = 1.0;
|
|
columns[1][1] = 1.0;
|
|
}
|
|
};
|
|
|
|
Vector2 Transform2D::basis_xform(const Vector2 &p_vec) const {
|
|
return Vector2(
|
|
tdotx(p_vec),
|
|
tdoty(p_vec));
|
|
}
|
|
|
|
Vector2 Transform2D::basis_xform_inv(const Vector2 &p_vec) const {
|
|
return Vector2(
|
|
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)) +
|
|
columns[2];
|
|
}
|
|
|
|
Vector2 Transform2D::xform_inv(const Vector2 &p_vec) const {
|
|
Vector2 v = p_vec - columns[2];
|
|
|
|
return Vector2(
|
|
columns[0].dot(v),
|
|
columns[1].dot(v));
|
|
}
|
|
|
|
Rect2 Transform2D::xform(const Rect2 &p_rect) const {
|
|
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;
|
|
new_rect.position = pos;
|
|
new_rect.expand_to(pos + x);
|
|
new_rect.expand_to(pos + y);
|
|
new_rect.expand_to(pos + x + y);
|
|
return new_rect;
|
|
}
|
|
|
|
void Transform2D::set_rotation_and_scale(const real_t p_rot, const Size2 &p_scale) {
|
|
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) {
|
|
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 {
|
|
Vector2 ends[4] = {
|
|
xform_inv(p_rect.position),
|
|
xform_inv(Vector2(p_rect.position.x, p_rect.position.y + p_rect.size.y)),
|
|
xform_inv(Vector2(p_rect.position.x + p_rect.size.x, p_rect.position.y + p_rect.size.y)),
|
|
xform_inv(Vector2(p_rect.position.x + p_rect.size.x, p_rect.position.y))
|
|
};
|
|
|
|
Rect2 new_rect;
|
|
new_rect.position = ends[0];
|
|
new_rect.expand_to(ends[1]);
|
|
new_rect.expand_to(ends[2]);
|
|
new_rect.expand_to(ends[3]);
|
|
|
|
return new_rect;
|
|
}
|
|
|
|
Vector<Vector2> Transform2D::xform(const Vector<Vector2> &p_array) const {
|
|
Vector<Vector2> array;
|
|
array.resize(p_array.size());
|
|
|
|
const Vector2 *r = p_array.ptr();
|
|
Vector2 *w = array.ptrw();
|
|
|
|
for (int i = 0; i < p_array.size(); ++i) {
|
|
w[i] = xform(r[i]);
|
|
}
|
|
return array;
|
|
}
|
|
|
|
Vector<Vector2> Transform2D::xform_inv(const Vector<Vector2> &p_array) const {
|
|
Vector<Vector2> array;
|
|
array.resize(p_array.size());
|
|
|
|
const Vector2 *r = p_array.ptr();
|
|
Vector2 *w = array.ptrw();
|
|
|
|
for (int i = 0; i < p_array.size(); ++i) {
|
|
w[i] = xform_inv(r[i]);
|
|
}
|
|
return array;
|
|
}
|
|
|
|
#endif // TRANSFORM_2D_H
|