Torque3D/Engine/source/math/mRect.h
2012-09-19 11:15:01 -04:00

524 lines
13 KiB
C++

//-----------------------------------------------------------------------------
// Copyright (c) 2012 GarageGames, LLC
//
// 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 _MRECT_H_
#define _MRECT_H_
#ifndef _MPOINT2_H_
#include "math/mPoint2.h"
#endif
class RectI
{
public:
Point2I point;
Point2I extent;
public:
RectI() { }
RectI(const Point2I& in_rMin,
const Point2I& in_rExtent);
RectI(const S32 in_left, const S32 in_top,
const S32 in_width, const S32 in_height);
void set(const Point2I& in_rMin, const Point2I& in_rExtent);
void set(const S32 in_left, const S32 in_top,
const S32 in_width, const S32 in_height);
bool intersect(const RectI& clipRect);
bool pointInRect(const Point2I& pt) const;
bool overlaps(RectI R) const;
bool contains(const RectI& R) const;
void inset(S32 x, S32 y);
void unionRects(const RectI&);
S32 len_x() const;
S32 len_y() const;
/// Returns the area of the rectangle.
S32 area() const { return extent.x * extent.y; }
bool operator==(const RectI&) const;
bool operator!=(const RectI&) const;
bool isValidRect() const { return (extent.x > 0 && extent.y > 0); }
public:
/// A rect of zero extent.
static const RectI Zero;
/// A rect of 1,1 extent.
static const RectI One;
};
class RectF
{
public:
Point2F point;
Point2F extent;
public:
RectF() { }
RectF(const Point2F& in_rMin,
const Point2F& in_rExtent);
RectF(const F32 in_left, const F32 in_top,
const F32 in_width, const F32 in_height);
void set(const Point2F& in_rMin, const Point2F& in_rExtent);
void set(const F32 in_left, const F32 in_top,
const F32 in_width, const F32 in_height);
void inset(F32 x, F32 y);
/// Return distance of the reference point to the rectangle.
F32 getDistanceToPoint( const Point2F &refPt ) const;
/// Return the squared distance of the reference point to the rectangle.
F32 getSqDistanceToPoint( const Point2F &refPt ) const;
bool intersect(const RectF& clipRect);
bool pointInRect(const Point2F& pt) const;
bool overlaps(const RectF&) const;
bool contains(const Point2F &p) const
{
Point2F minkowskiP = p - point;
// If we're beyond origin...
if(minkowskiP.x < 0 || minkowskiP.y < 0)
return false;
// Or past extent...
if(minkowskiP.x > extent.x || minkowskiP.y > extent.y)
return false;
// Otherwise we're ok.
return true;
}
bool contains(const RectF& R) const;
void unionRects( const RectF &rect );
F32 len_x() const;
F32 len_y() const;
bool isValidRect() const { return (extent.x > 0.0f && extent.y > 0.0f); }
inline bool intersectTriangle(const Point2F &a, const Point2F &b, const Point2F &c);
};
class RectD
{
public:
Point2D point;
Point2D extent;
public:
RectD() { }
RectD(const Point2D& in_rMin,
const Point2D& in_rExtent);
RectD(const F64 in_left, const F64 in_top,
const F64 in_width, const F64 in_height);
void inset(F64 x, F64 y);
bool intersect(const RectD& clipRect);
F64 len_x() const;
F64 len_y() const;
bool isValidRect() const { return (extent.x > 0 && extent.y > 0); }
};
//------------------------------------------------------------------------------
//-------------------------------------- INLINES (RectI)
//
inline
RectI::RectI(const Point2I& in_rMin,
const Point2I& in_rExtent)
: point(in_rMin),
extent(in_rExtent)
{
//
}
inline
RectI::RectI(const S32 in_left, const S32 in_top,
const S32 in_width, const S32 in_height)
: point(in_left, in_top),
extent(in_width, in_height)
{
//
}
inline void RectI::set(const Point2I& in_rMin, const Point2I& in_rExtent)
{
point = in_rMin;
extent = in_rExtent;
}
inline void RectI::set(const S32 in_left, const S32 in_top,
const S32 in_width, const S32 in_height)
{
point.set(in_left, in_top);
extent.set(in_width, in_height);
}
inline bool RectI::intersect(const RectI& clipRect)
{
Point2I bottomL;
bottomL.x = getMin(point.x + extent.x - 1, clipRect.point.x + clipRect.extent.x - 1);
bottomL.y = getMin(point.y + extent.y - 1, clipRect.point.y + clipRect.extent.y - 1);
point.x = getMax(point.x, clipRect.point.x);
point.y = getMax(point.y, clipRect.point.y);
extent.x = bottomL.x - point.x + 1;
extent.y = bottomL.y - point.y + 1;
return isValidRect();
}
inline bool RectI::pointInRect(const Point2I &pt) const
{
return (pt.x >= point.x && pt.x < point.x + extent.x && pt.y >= point.y && pt.y < point.y + extent.y);
}
inline bool RectI::contains(const RectI& R) const
{
if (point.x <= R.point.x && point.y <= R.point.y)
if (R.point.x + R.extent.x <= point.x + extent.x)
if (R.point.y + R.extent.y <= point.y + extent.y)
return true;
return false;
}
inline bool RectI::overlaps(RectI R) const
{
return R.intersect (* this);
}
inline void RectI::inset(S32 x, S32 y)
{
point.x += x;
point.y += y;
extent.x -= 2 * x;
extent.y -= 2 * y;
}
inline void RectF::inset(F32 x, F32 y)
{
point.x += x;
point.y += y;
extent.x -= 2.0f * x;
extent.y -= 2.0f * y;
}
inline void RectD::inset(F64 x, F64 y)
{
point.x += x;
point.y += y;
extent.x -= 2.0 * x;
extent.y -= 2.0 * y;
}
inline void RectI::unionRects(const RectI& u)
{
S32 minx = point.x < u.point.x ? point.x : u.point.x;
S32 miny = point.y < u.point.y ? point.y : u.point.y;
S32 maxx = (point.x + extent.x) > (u.point.x + u.extent.x) ? (point.x + extent.x) : (u.point.x + u.extent.x);
S32 maxy = (point.y + extent.y) > (u.point.y + u.extent.y) ? (point.y + extent.y) : (u.point.y + u.extent.y);
point.x = minx;
point.y = miny;
extent.x = maxx - minx;
extent.y = maxy - miny;
}
inline S32
RectI::len_x() const
{
return extent.x;
}
inline S32
RectI::len_y() const
{
return extent.y;
}
inline bool
RectI::operator==(const RectI& in_rCompare) const
{
return (point == in_rCompare.point) && (extent == in_rCompare.extent);
}
inline bool
RectI::operator!=(const RectI& in_rCompare) const
{
return (operator==(in_rCompare) == false);
}
//------------------------------------------------------------------------------
//-------------------------------------- INLINES (RectF)
//
inline
RectF::RectF(const Point2F& in_rMin,
const Point2F& in_rExtent)
: point(in_rMin),
extent(in_rExtent)
{
//
}
inline
RectF::RectF(const F32 in_left, const F32 in_top,
const F32 in_width, const F32 in_height)
: point(in_left, in_top),
extent(in_width, in_height)
{
//
}
inline F32
RectF::len_x() const
{
return extent.x;
}
inline F32
RectF::len_y() const
{
return extent.y;
}
inline void RectF::set(const Point2F& in_rMin, const Point2F& in_rExtent)
{
point = in_rMin;
extent = in_rExtent;
}
inline void RectF::set(const F32 in_left, const F32 in_top,
const F32 in_width, const F32 in_height)
{
point.set(in_left, in_top);
extent.set(in_width, in_height);
}
inline F32 RectF::getDistanceToPoint( const Point2F &refPt ) const
{
return mSqrt( getSqDistanceToPoint( refPt ) );
}
inline F32 RectF::getSqDistanceToPoint( const Point2F &refPt ) const
{
const Point2F maxPoint( point + extent );
F32 sqDist = 0.0f;
for ( U32 i=0; i < 2; i++ )
{
const F32 v = refPt[i];
if ( v < point[i] )
sqDist += mSquared( point[i] - v );
else if ( v > maxPoint[i] )
sqDist += mSquared( v - maxPoint[i] );
}
return sqDist;
}
inline bool RectF::intersect(const RectF& clipRect)
{
Point2F bottomL;
bottomL.x = getMin(point.x + extent.x, clipRect.point.x + clipRect.extent.x);
bottomL.y = getMin(point.y + extent.y, clipRect.point.y + clipRect.extent.y);
point.x = getMax(point.x, clipRect.point.x);
point.y = getMax(point.y, clipRect.point.y);
extent.x = bottomL.x - point.x;
extent.y = bottomL.y - point.y;
return isValidRect();
}
inline bool RectF::pointInRect(const Point2F &pt) const
{
return (pt.x >= point.x && pt.x < point.x + extent.x && pt.y >= point.y && pt.y < point.y + extent.y);
}
inline bool RectF::overlaps(const RectF& clipRect) const
{
RectF test = *this;
return test.intersect(clipRect);
}
inline bool lineToLineIntersect(const Point2F & a1, const Point2F & a2, const Point2F & b1, const Point2F & b2)
{
const F32 ua_t = (b2.x - b1.x) * (a1.y - b1.y) - (b2.y - b1.y) * (a1.x - b1.x);
const F32 ub_t = (a2.x - a1.x) * (a1.y - b1.y) - (a2.y - a1.y) * (a1.x - b1.x);
const F32 u_b = (b2.y - b1.y) * (a2.x - a1.x) - (b2.x - b1.x) * (a2.y - a1.y);
if(u_b != 0)
{
const F32 ua = ua_t / u_b;
const F32 ub = ub_t / u_b;
return ( 0.0f <= ua && ua <= 1.0f && 0.0f <= ub && ub <= 1.0f );
}
else
{
return ( ua_t == 0 || ub_t == 0 );
}
}
inline bool RectF::intersectTriangle(const Point2F &a, const Point2F &b, const Point2F &c)
{
const Point2F topLeft = point;
const Point2F topRight = Point2F( point.x + extent.x, point.y );
const Point2F bottomLeft = Point2F( point.x, point.y + extent.y );
const Point2F bottomRight = point + extent;
// 3 point plus 12 edge tests.
// Check each triangle point to see if it's in us.
if(contains(a) || contains(b) || contains(b))
return true;
// Check a-b against the rect.
if(lineToLineIntersect(topLeft, topRight, a, b))
return true;
if(lineToLineIntersect(topRight, bottomRight, a, b))
return true;
if(lineToLineIntersect(bottomRight, bottomLeft, a, b))
return true;
if(lineToLineIntersect(bottomLeft, topLeft, a, b))
return true;
// Check b-c
if(lineToLineIntersect(topLeft, topRight, b, c))
return true;
if(lineToLineIntersect(topRight, bottomRight, b, c))
return true;
if(lineToLineIntersect(bottomRight, bottomLeft, b, c))
return true;
if(lineToLineIntersect(bottomLeft, topLeft, b, c))
return true;
// Check c-a
if(lineToLineIntersect(topLeft, topRight, c, a))
return true;
if(lineToLineIntersect(topRight, bottomRight, c, a))
return true;
if(lineToLineIntersect(bottomRight, bottomLeft, c, a))
return true;
if(lineToLineIntersect(bottomLeft, topLeft, c, a))
return true;
return false;
}
inline bool RectF::contains(const RectF& R) const
{
if (point.x <= R.point.x && point.y <= R.point.y)
if (R.point.x + R.extent.x <= point.x + extent.x)
if (R.point.y + R.extent.y <= point.y + extent.y)
return true;
return false;
}
inline void RectF::unionRects( const RectF &r )
{
F32 minx = point.x < r.point.x ? point.x : r.point.x;
F32 miny = point.y < r.point.y ? point.y : r.point.y;
F32 maxx = (point.x + extent.x) > (r.point.x + r.extent.x) ? (point.x + extent.x) : (r.point.x + r.extent.x);
F32 maxy = (point.y + extent.y) > (r.point.y + r.extent.y) ? (point.y + extent.y) : (r.point.y + r.extent.y);
point.x = minx;
point.y = miny;
extent.x = maxx - minx;
extent.y = maxy - miny;
}
//------------------------------------------------------------------------------
//-------------------------------------- INLINES (RectD)
//
inline
RectD::RectD(const Point2D& in_rMin,
const Point2D& in_rExtent)
: point(in_rMin),
extent(in_rExtent)
{
//
}
inline
RectD::RectD(const F64 in_left, const F64 in_top,
const F64 in_width, const F64 in_height)
: point(in_left, in_top),
extent(in_width, in_height)
{
//
}
inline F64
RectD::len_x() const
{
return extent.x;
}
inline F64
RectD::len_y() const
{
return extent.y;
}
inline bool RectD::intersect(const RectD& clipRect)
{
Point2D bottomL;
bottomL.x = getMin(point.x + extent.x, clipRect.point.x + clipRect.extent.x);
bottomL.y = getMin(point.y + extent.y, clipRect.point.y + clipRect.extent.y);
point.x = getMax(point.x, clipRect.point.x);
point.y = getMax(point.y, clipRect.point.y);
extent.x = bottomL.x - point.x;
extent.y = bottomL.y - point.y;
return isValidRect();
}
#endif //_RECT_H_