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			269 lines
		
	
	
	
		
			8.8 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
		
		
			
		
	
	
			269 lines
		
	
	
	
		
			8.8 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
|   | /*************************************************************************/ | ||
|  | /*  transform.h                                                          */ | ||
|  | /*************************************************************************/ | ||
|  | /*                       This file is part of:                           */ | ||
|  | /*                           GODOT ENGINE                                */ | ||
|  | /*                    http://www.godotengine.org                         */ | ||
|  | /*************************************************************************/ | ||
|  | /* 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_H
 | ||
|  | #define TRANSFORM_H
 | ||
|  | 
 | ||
|  | #include "matrix3.h"
 | ||
|  | #include "plane.h"
 | ||
|  | #include "aabb.h"
 | ||
|  | /**
 | ||
|  | 	@author Juan Linietsky <reduzio@gmail.com> | ||
|  | */ | ||
|  | class Transform { | ||
|  | public: | ||
|  | 
 | ||
|  | 	Matrix3 basis; | ||
|  | 	Vector3 origin; | ||
|  | 	 | ||
|  | 	void invert();  | ||
|  | 	Transform inverse() const;  | ||
|  | 
 | ||
|  | 	void affine_invert(); | ||
|  | 	Transform affine_inverse() const; | ||
|  | 
 | ||
|  | 	Transform rotated(const Vector3& p_axis,real_t p_phi) const; | ||
|  | 
 | ||
|  | 	void rotate(const Vector3& p_axis,real_t p_phi); | ||
|  | 	void rotate_basis(const Vector3& p_axis,real_t p_phi); | ||
|  | 
 | ||
|  | 	void set_look_at( const Vector3& p_eye, const Vector3& p_target, const Vector3& p_up ); | ||
|  | 	Transform looking_at( const Vector3& p_target, const Vector3& p_up ) const; | ||
|  | 
 | ||
|  | 	void scale(const Vector3& p_scale); | ||
|  | 	Transform scaled(const Vector3& p_scale) const; | ||
|  | 	void scale_basis(const Vector3& p_scale); | ||
|  | 	void translate( real_t p_tx, real_t p_ty, real_t p_tz ); | ||
|  | 	void translate( const Vector3& p_translation ); | ||
|  | 	Transform translated( const Vector3& p_translation ) const; | ||
|  | 
 | ||
|  | 	const Matrix3& get_basis() const { return basis; } | ||
|  | 	void set_basis(const Matrix3& p_basis) { basis=p_basis; } | ||
|  | 
 | ||
|  | 	const Vector3& get_origin() const { return origin; } | ||
|  | 	void set_origin(const Vector3& p_origin) { origin=p_origin; } | ||
|  | 
 | ||
|  | 	void orthonormalize(); | ||
|  | 	Transform orthonormalized() const; | ||
|  | 
 | ||
|  | 	bool operator==(const Transform& p_transform) const; | ||
|  | 	bool operator!=(const Transform& p_transform) const; | ||
|  | 
 | ||
|  | 	_FORCE_INLINE_ Vector3 xform(const Vector3& p_vector) const; | ||
|  | 	_FORCE_INLINE_ Vector3 xform_inv(const Vector3& p_vector) const; | ||
|  | 	 | ||
|  | 	_FORCE_INLINE_ Plane xform(const Plane& p_plane) const; | ||
|  | 	_FORCE_INLINE_ Plane xform_inv(const Plane& p_plane) const; | ||
|  | 
 | ||
|  | 	_FORCE_INLINE_ AABB xform(const AABB& p_aabb) const; | ||
|  | 	_FORCE_INLINE_ AABB xform_inv(const AABB& p_aabb) const; | ||
|  | 	 | ||
|  | 	void operator*=(const Transform& p_transform); | ||
|  | 	Transform operator*(const Transform& p_transform) const; | ||
|  | 
 | ||
|  | 	Transform interpolate_with(const Transform& p_transform, float p_c) const; | ||
|  | 	 | ||
|  | 	_FORCE_INLINE_ Transform inverse_xform(const Transform& t) const { | ||
|  | 		 | ||
|  | 		Vector3 v = t.origin - origin; | ||
|  | 		return Transform(basis.transpose_xform(t.basis), | ||
|  | 			basis.xform(v)); | ||
|  | 	} | ||
|  | 	 | ||
|  | 	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,real_t tx, real_t ty, real_t tz) { | ||
|  | 	 | ||
|  | 		basis.elements[0][0]=xx; | ||
|  | 		basis.elements[0][1]=xy; | ||
|  | 		basis.elements[0][2]=xz; | ||
|  | 		basis.elements[1][0]=yx; | ||
|  | 		basis.elements[1][1]=yy; | ||
|  | 		basis.elements[1][2]=yz; | ||
|  | 		basis.elements[2][0]=zx; | ||
|  | 		basis.elements[2][1]=zy; | ||
|  | 		basis.elements[2][2]=zz;	 | ||
|  | 		origin.x=tx; | ||
|  | 		origin.y=ty; | ||
|  | 		origin.z=tz; | ||
|  | 	} | ||
|  | 	 | ||
|  | 	operator String() const; | ||
|  | 	 | ||
|  | 	Transform(const Matrix3& p_basis, const Vector3& p_origin=Vector3()); | ||
|  | 	Transform() {} | ||
|  | 
 | ||
|  | }; | ||
|  | 
 | ||
|  | 
 | ||
|  | _FORCE_INLINE_ Vector3 Transform::xform(const Vector3& p_vector) const { | ||
|  | 
 | ||
|  | 	return Vector3( | ||
|  | 		basis[0].dot(p_vector)+origin.x, | ||
|  | 		basis[1].dot(p_vector)+origin.y, | ||
|  | 		basis[2].dot(p_vector)+origin.z | ||
|  | 	); | ||
|  | } | ||
|  | _FORCE_INLINE_ Vector3 Transform::xform_inv(const Vector3& p_vector) const { | ||
|  | 	 | ||
|  | 	Vector3 v = p_vector - origin; | ||
|  | 	 | ||
|  | 	return Vector3( | ||
|  | 		(basis.elements[0][0]*v.x ) + ( basis.elements[1][0]*v.y ) + ( basis.elements[2][0]*v.z ), | ||
|  | 		(basis.elements[0][1]*v.x ) + ( basis.elements[1][1]*v.y ) + ( basis.elements[2][1]*v.z ), | ||
|  | 		(basis.elements[0][2]*v.x ) + ( basis.elements[1][2]*v.y ) + ( basis.elements[2][2]*v.z ) | ||
|  | 	); | ||
|  | } | ||
|  | 
 | ||
|  | _FORCE_INLINE_ Plane Transform::xform(const Plane& p_plane) const { | ||
|  | 
 | ||
|  | 	 | ||
|  | 	Vector3 point=p_plane.normal*p_plane.d; | ||
|  | 	Vector3 point_dir=point+p_plane.normal; | ||
|  | 	point=xform(point); | ||
|  | 	point_dir=xform(point_dir); | ||
|  | 	 | ||
|  | 	Vector3 normal=point_dir-point; | ||
|  | 	normal.normalize(); | ||
|  | 	real_t d=normal.dot(point); | ||
|  | 	 | ||
|  | 	return Plane(normal,d); | ||
|  | 
 | ||
|  | } | ||
|  | _FORCE_INLINE_ Plane Transform::xform_inv(const Plane& p_plane) const { | ||
|  | 
 | ||
|  | 	Vector3 point=p_plane.normal*p_plane.d; | ||
|  | 	Vector3 point_dir=point+p_plane.normal; | ||
|  | 	xform_inv(point); | ||
|  | 	xform_inv(point_dir); | ||
|  | 	 | ||
|  | 	Vector3 normal=point_dir-point; | ||
|  | 	normal.normalize(); | ||
|  | 	real_t d=normal.dot(point); | ||
|  | 	 | ||
|  | 	return Plane(normal,d); | ||
|  | 
 | ||
|  | } | ||
|  | 
 | ||
|  | _FORCE_INLINE_ AABB Transform::xform(const AABB& p_aabb) const { | ||
|  | 	/* define vertices */ | ||
|  | #if 1
 | ||
|  | 	Vector3 x=basis.get_axis(0)*p_aabb.size.x; | ||
|  | 	Vector3 y=basis.get_axis(1)*p_aabb.size.y; | ||
|  | 	Vector3 z=basis.get_axis(2)*p_aabb.size.z; | ||
|  | 	Vector3 pos = xform( p_aabb.pos ); | ||
|  | //could be even further optimized
 | ||
|  | 	AABB new_aabb; | ||
|  | 	new_aabb.pos=pos; | ||
|  | 	new_aabb.expand_to( pos+x ); | ||
|  | 	new_aabb.expand_to( pos+y ); | ||
|  | 	new_aabb.expand_to( pos+z ); | ||
|  | 	new_aabb.expand_to( pos+x+y ); | ||
|  | 	new_aabb.expand_to( pos+x+z ); | ||
|  | 	new_aabb.expand_to( pos+y+z ); | ||
|  | 	new_aabb.expand_to( pos+x+y+z ); | ||
|  | 	return new_aabb; | ||
|  | #else
 | ||
|  | 
 | ||
|  | 
 | ||
|  | 	Vector3 vertices[8]={ | ||
|  | 			Vector3(p_aabb.pos.x+p_aabb.size.x,	p_aabb.pos.y+p_aabb.size.y,	p_aabb.pos.z+p_aabb.size.z), | ||
|  | 			Vector3(p_aabb.pos.x+p_aabb.size.x,	p_aabb.pos.y+p_aabb.size.y,	p_aabb.pos.z), | ||
|  | 			Vector3(p_aabb.pos.x+p_aabb.size.x,	p_aabb.pos.y,		p_aabb.pos.z+p_aabb.size.z), | ||
|  | 			Vector3(p_aabb.pos.x+p_aabb.size.x,	p_aabb.pos.y,		p_aabb.pos.z), | ||
|  | 			Vector3(p_aabb.pos.x,	p_aabb.pos.y+p_aabb.size.y,	p_aabb.pos.z+p_aabb.size.z), | ||
|  | 			Vector3(p_aabb.pos.x,	p_aabb.pos.y+p_aabb.size.y,	p_aabb.pos.z), | ||
|  | 			Vector3(p_aabb.pos.x,	p_aabb.pos.y,		p_aabb.pos.z+p_aabb.size.z), | ||
|  | 			Vector3(p_aabb.pos.x,	p_aabb.pos.y,		p_aabb.pos.z) | ||
|  | 	}; | ||
|  | 	 | ||
|  | 	 | ||
|  | 	AABB ret; | ||
|  | 	 | ||
|  | 	ret.pos=xform(vertices[0]); | ||
|  | 	 | ||
|  | 	for (int i=1;i<8;i++) { | ||
|  | 	 | ||
|  | 		ret.expand_to( xform(vertices[i]) ); | ||
|  | 	} | ||
|  | 	 | ||
|  | 	return ret; | ||
|  | #endif
 | ||
|  | 
 | ||
|  | } | ||
|  | _FORCE_INLINE_ AABB Transform::xform_inv(const AABB& p_aabb) const { | ||
|  | 
 | ||
|  | 	/* define vertices */ | ||
|  | 	Vector3 vertices[8]={ | ||
|  | 			Vector3(p_aabb.pos.x+p_aabb.size.x,	p_aabb.pos.y+p_aabb.size.y,	p_aabb.pos.z+p_aabb.size.z), | ||
|  | 			Vector3(p_aabb.pos.x+p_aabb.size.x,	p_aabb.pos.y+p_aabb.size.y,	p_aabb.pos.z), | ||
|  | 			Vector3(p_aabb.pos.x+p_aabb.size.x,	p_aabb.pos.y,		p_aabb.pos.z+p_aabb.size.z), | ||
|  | 			Vector3(p_aabb.pos.x+p_aabb.size.x,	p_aabb.pos.y,		p_aabb.pos.z), | ||
|  | 			Vector3(p_aabb.pos.x,	p_aabb.pos.y+p_aabb.size.y,	p_aabb.pos.z+p_aabb.size.z), | ||
|  | 			Vector3(p_aabb.pos.x,	p_aabb.pos.y+p_aabb.size.y,	p_aabb.pos.z), | ||
|  | 			Vector3(p_aabb.pos.x,	p_aabb.pos.y,		p_aabb.pos.z+p_aabb.size.z), | ||
|  | 			Vector3(p_aabb.pos.x,	p_aabb.pos.y,		p_aabb.pos.z) | ||
|  | 	}; | ||
|  | 	 | ||
|  | 	 | ||
|  | 	AABB ret; | ||
|  | 	 | ||
|  | 	ret.pos=xform_inv(vertices[0]); | ||
|  | 	 | ||
|  | 	for (int i=1;i<8;i++) { | ||
|  | 	 | ||
|  | 		ret.expand_to( xform_inv(vertices[i]) ); | ||
|  | 	} | ||
|  | 	 | ||
|  | 	return ret; | ||
|  | 
 | ||
|  | } | ||
|  | 
 | ||
|  | #ifdef OPTIMIZED_TRANSFORM_IMPL_OVERRIDE
 | ||
|  | 
 | ||
|  | #else
 | ||
|  | 
 | ||
|  | struct OptimizedTransform { | ||
|  | 
 | ||
|  | 	Transform transform; | ||
|  | 
 | ||
|  | 	_FORCE_INLINE_ void invert() {transform.invert(); } | ||
|  | 	_FORCE_INLINE_ void affine_invert() {transform.affine_invert(); } | ||
|  | 	_FORCE_INLINE_ Vector3 xform(const Vector3& p_vec) const { return transform.xform(p_vec); }; | ||
|  | 	_FORCE_INLINE_ Vector3 xform_inv(const Vector3& p_vec) const { return transform.xform_inv(p_vec); }; | ||
|  | 	_FORCE_INLINE_ OptimizedTransform operator*(const OptimizedTransform& p_ot ) const { return OptimizedTransform( transform * p_ot.transform ) ; } | ||
|  | 	_FORCE_INLINE_ Transform get_transform() const { return transform; } | ||
|  | 	_FORCE_INLINE_ void set_transform(const Transform& p_transform)  { transform=p_transform; } | ||
|  | 
 | ||
|  | 	OptimizedTransform(const Transform& p_transform) { | ||
|  | 		transform=p_transform; | ||
|  | 	} | ||
|  | }; | ||
|  | 
 | ||
|  | #endif
 | ||
|  | 
 | ||
|  | #endif
 |