mirror of
https://github.com/godotengine/godot-cpp.git
synced 2026-01-01 05:48:37 +03:00
329 lines
7.2 KiB
C++
329 lines
7.2 KiB
C++
#include "Transform2D.hpp"
|
|
#include "Rect2.hpp"
|
|
#include "String.hpp"
|
|
#include "Vector2.hpp"
|
|
|
|
#include <algorithm>
|
|
|
|
namespace godot {
|
|
|
|
Transform2D::Transform2D(real_t xx, real_t xy, real_t yx, real_t yy, real_t ox, 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;
|
|
}
|
|
|
|
Vector2 Transform2D::basis_xform(const Vector2 &v) const {
|
|
|
|
return Vector2(
|
|
tdotx(v),
|
|
tdoty(v));
|
|
}
|
|
|
|
Vector2 Transform2D::basis_xform_inv(const Vector2 &v) const {
|
|
|
|
return Vector2(
|
|
elements[0].dot(v),
|
|
elements[1].dot(v));
|
|
}
|
|
|
|
Vector2 Transform2D::xform(const Vector2 &v) const {
|
|
|
|
return Vector2(
|
|
tdotx(v),
|
|
tdoty(v)) +
|
|
elements[2];
|
|
}
|
|
Vector2 Transform2D::xform_inv(const Vector2 &p_vec) const {
|
|
|
|
Vector2 v = p_vec - elements[2];
|
|
|
|
return Vector2(
|
|
elements[0].dot(v),
|
|
elements[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 position = xform(p_rect.position);
|
|
|
|
Rect2 new_rect;
|
|
new_rect.position = position;
|
|
new_rect.expand_to(position + x);
|
|
new_rect.expand_to(position + y);
|
|
new_rect.expand_to(position + x + y);
|
|
return new_rect;
|
|
}
|
|
|
|
void Transform2D::set_rotation_and_scale(real_t p_rot, const Size2 &p_scale) {
|
|
|
|
elements[0][0] = ::cos(p_rot) * p_scale.x;
|
|
elements[1][1] = ::cos(p_rot) * p_scale.y;
|
|
elements[1][0] = -::sin(p_rot) * p_scale.y;
|
|
elements[0][1] = ::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;
|
|
}
|
|
|
|
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.
|
|
std::swap(elements[0][1], elements[1][0]);
|
|
elements[2] = basis_xform(-elements[2]);
|
|
}
|
|
|
|
Transform2D Transform2D::inverse() const {
|
|
|
|
Transform2D inv = *this;
|
|
inv.invert();
|
|
return inv;
|
|
}
|
|
|
|
void Transform2D::affine_invert() {
|
|
|
|
real_t det = basis_determinant();
|
|
ERR_FAIL_COND(det == 0);
|
|
real_t idet = 1.0 / det;
|
|
|
|
std::swap(elements[0][0], elements[1][1]);
|
|
elements[0] *= Vector2(idet, -idet);
|
|
elements[1] *= Vector2(-idet, idet);
|
|
|
|
elements[2] = basis_xform(-elements[2]);
|
|
}
|
|
|
|
Transform2D Transform2D::affine_inverse() const {
|
|
|
|
Transform2D inv = *this;
|
|
inv.affine_invert();
|
|
return inv;
|
|
}
|
|
|
|
void Transform2D::rotate(real_t p_phi) {
|
|
*this = Transform2D(p_phi, Vector2()) * (*this);
|
|
}
|
|
|
|
real_t Transform2D::get_rotation() const {
|
|
real_t det = basis_determinant();
|
|
Transform2D m = orthonormalized();
|
|
if (det < 0) {
|
|
m.scale_basis(Size2(-1, -1));
|
|
}
|
|
return ::atan2(m[0].y, m[0].x);
|
|
}
|
|
|
|
void Transform2D::set_rotation(real_t p_rot) {
|
|
|
|
real_t cr = ::cos(p_rot);
|
|
real_t sr = ::sin(p_rot);
|
|
elements[0][0] = cr;
|
|
elements[0][1] = sr;
|
|
elements[1][0] = -sr;
|
|
elements[1][1] = cr;
|
|
}
|
|
|
|
Transform2D::Transform2D(real_t p_rot, const Vector2 &p_position) {
|
|
|
|
real_t cr = ::cos(p_rot);
|
|
real_t sr = ::sin(p_rot);
|
|
elements[0][0] = cr;
|
|
elements[0][1] = sr;
|
|
elements[1][0] = -sr;
|
|
elements[1][1] = cr;
|
|
elements[2] = p_position;
|
|
}
|
|
|
|
Size2 Transform2D::get_scale() const {
|
|
real_t det_sign = basis_determinant() > 0 ? 1 : -1;
|
|
return det_sign * Size2(elements[0].length(), elements[1].length());
|
|
}
|
|
|
|
void Transform2D::scale(const Size2 &p_scale) {
|
|
scale_basis(p_scale);
|
|
elements[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;
|
|
}
|
|
void Transform2D::translate(real_t p_tx, real_t p_ty) {
|
|
|
|
translate(Vector2(p_tx, p_ty));
|
|
}
|
|
void Transform2D::translate(const Vector2 &p_translation) {
|
|
|
|
elements[2] += basis_xform(p_translation);
|
|
}
|
|
|
|
void Transform2D::orthonormalize() {
|
|
|
|
// Gram-Schmidt Process
|
|
|
|
Vector2 x = elements[0];
|
|
Vector2 y = elements[1];
|
|
|
|
x.normalize();
|
|
y = (y - x * (x.dot(y)));
|
|
y.normalize();
|
|
|
|
elements[0] = x;
|
|
elements[1] = y;
|
|
}
|
|
Transform2D Transform2D::orthonormalized() const {
|
|
|
|
Transform2D on = *this;
|
|
on.orthonormalize();
|
|
return on;
|
|
}
|
|
|
|
bool Transform2D::operator==(const Transform2D &p_transform) const {
|
|
|
|
for (int i = 0; i < 3; i++) {
|
|
if (elements[i] != p_transform.elements[i])
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
bool Transform2D::operator!=(const Transform2D &p_transform) const {
|
|
|
|
for (int i = 0; i < 3; i++) {
|
|
if (elements[i] != p_transform.elements[i])
|
|
return true;
|
|
}
|
|
|
|
return false;
|
|
}
|
|
|
|
void Transform2D::operator*=(const Transform2D &p_transform) {
|
|
|
|
elements[2] = xform(p_transform.elements[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]);
|
|
|
|
elements[0][0] = x0;
|
|
elements[0][1] = x1;
|
|
elements[1][0] = y0;
|
|
elements[1][1] = y1;
|
|
}
|
|
|
|
Transform2D Transform2D::operator*(const Transform2D &p_transform) const {
|
|
|
|
Transform2D t = *this;
|
|
t *= p_transform;
|
|
return t;
|
|
}
|
|
|
|
Transform2D Transform2D::scaled(const Size2 &p_scale) const {
|
|
|
|
Transform2D copy = *this;
|
|
copy.scale(p_scale);
|
|
return copy;
|
|
}
|
|
|
|
Transform2D Transform2D::basis_scaled(const Size2 &p_scale) const {
|
|
|
|
Transform2D copy = *this;
|
|
copy.scale_basis(p_scale);
|
|
return copy;
|
|
}
|
|
|
|
Transform2D Transform2D::untranslated() const {
|
|
|
|
Transform2D copy = *this;
|
|
copy.elements[2] = Vector2();
|
|
return copy;
|
|
}
|
|
|
|
Transform2D Transform2D::translated(const Vector2 &p_offset) const {
|
|
|
|
Transform2D copy = *this;
|
|
copy.translate(p_offset);
|
|
return copy;
|
|
}
|
|
|
|
Transform2D Transform2D::rotated(real_t p_phi) const {
|
|
|
|
Transform2D copy = *this;
|
|
copy.rotate(p_phi);
|
|
return copy;
|
|
}
|
|
|
|
real_t Transform2D::basis_determinant() const {
|
|
|
|
return elements[0].x * elements[1].y - elements[0].y * elements[1].x;
|
|
}
|
|
|
|
Transform2D Transform2D::interpolate_with(const Transform2D &p_transform, real_t p_c) const {
|
|
|
|
//extract parameters
|
|
Vector2 p1 = get_origin();
|
|
Vector2 p2 = p_transform.get_origin();
|
|
|
|
real_t r1 = get_rotation();
|
|
real_t r2 = p_transform.get_rotation();
|
|
|
|
Size2 s1 = get_scale();
|
|
Size2 s2 = p_transform.get_scale();
|
|
|
|
//slerp rotation
|
|
Vector2 v1(::cos(r1), ::sin(r1));
|
|
Vector2 v2(::cos(r2), ::sin(r2));
|
|
|
|
real_t dot = v1.dot(v2);
|
|
|
|
dot = (dot < -1.0) ? -1.0 : ((dot > 1.0) ? 1.0 : dot); //clamp dot to [-1,1]
|
|
|
|
Vector2 v;
|
|
|
|
if (dot > 0.9995) {
|
|
v = Vector2::linear_interpolate(v1, v2, p_c).normalized(); //linearly interpolate to avoid numerical precision issues
|
|
} else {
|
|
real_t angle = p_c * ::acos(dot);
|
|
Vector2 v3 = (v2 - v1 * dot).normalized();
|
|
v = v1 * ::cos(angle) + v3 * ::sin(angle);
|
|
}
|
|
|
|
//construct matrix
|
|
Transform2D res(::atan2(v.y, v.x), Vector2::linear_interpolate(p1, p2, p_c));
|
|
res.scale_basis(Vector2::linear_interpolate(s1, s2, p_c));
|
|
return res;
|
|
}
|
|
|
|
Transform2D::operator String() const {
|
|
|
|
return String(String() + elements[0] + ", " + elements[1] + ", " + elements[2]);
|
|
}
|
|
|
|
} // namespace godot
|