mirror of https://github.com/TTimo/GtkRadiant.git
630 lines
19 KiB
C++
630 lines
19 KiB
C++
/*
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Copyright (C) 2001-2006, William Joseph.
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All Rights Reserved.
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This file is part of GtkRadiant.
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GtkRadiant is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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GtkRadiant is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with GtkRadiant; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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*/
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#if !defined(INCLUDED_MATH_FRUSTUM_H)
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#define INCLUDED_MATH_FRUSTUM_H
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/// \file
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/// \brief View-frustum data types and related operations.
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#include "generic/enumeration.h"
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#include "math/matrix.h"
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#include "math/plane.h"
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#include "math/aabb.h"
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#include "math/line.h"
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inline Matrix4 matrix4_frustum(float left, float right, float bottom, float top, float nearval, float farval)
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{
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return Matrix4(
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static_cast<float>( (2*nearval) / (right-left) ),
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0,
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0,
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0,
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0,
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static_cast<float>( (2*nearval) / (top-bottom) ),
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0,
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0,
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static_cast<float>( (right+left) / (right-left) ),
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static_cast<float>( (top+bottom) / (top-bottom) ),
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static_cast<float>( -(farval+nearval) / (farval-nearval) ),
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-1,
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0,
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0,
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static_cast<float>( -(2*farval*nearval) / (farval-nearval) ),
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0
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);
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}
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typedef unsigned char ClipResult;
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const ClipResult c_CLIP_PASS = 0x00; // 000000
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const ClipResult c_CLIP_LT_X = 0x01; // 000001
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const ClipResult c_CLIP_GT_X = 0x02; // 000010
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const ClipResult c_CLIP_LT_Y = 0x04; // 000100
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const ClipResult c_CLIP_GT_Y = 0x08; // 001000
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const ClipResult c_CLIP_LT_Z = 0x10; // 010000
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const ClipResult c_CLIP_GT_Z = 0x20; // 100000
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const ClipResult c_CLIP_FAIL = 0x3F; // 111111
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template<typename Index>
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class Vector4ClipLT
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{
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public:
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static bool compare(const Vector4& self)
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{
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return self[Index::VALUE] < self[3];
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}
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static double scale(const Vector4& self, const Vector4& other)
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{
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return (self[Index::VALUE] - self[3]) / (other[3] - other[Index::VALUE]);
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}
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};
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template<typename Index>
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class Vector4ClipGT
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{
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public:
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static bool compare(const Vector4& self)
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{
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return self[Index::VALUE] > -self[3];
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}
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static double scale(const Vector4& self, const Vector4& other)
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{
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return (self[Index::VALUE] + self[3]) / (-other[3] - other[Index::VALUE]);
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}
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};
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template<typename ClipPlane>
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class Vector4ClipPolygon
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{
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public:
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typedef Vector4* iterator;
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typedef const Vector4* const_iterator;
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static std::size_t apply(const_iterator first, const_iterator last, iterator out)
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{
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const_iterator next = first, i = last - 1;
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iterator tmp(out);
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bool b0 = ClipPlane::compare(*i);
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while(next != last)
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{
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bool b1 = ClipPlane::compare(*next);
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if(b0 ^ b1)
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{
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*out = vector4_subtracted(*next, *i);
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double scale = ClipPlane::scale(*i, *out);
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(*out)[0] = static_cast<float>((*i)[0] + scale*((*out)[0]));
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(*out)[1] = static_cast<float>((*i)[1] + scale*((*out)[1]));
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(*out)[2] = static_cast<float>((*i)[2] + scale*((*out)[2]));
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(*out)[3] = static_cast<float>((*i)[3] + scale*((*out)[3]));
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++out;
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}
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if(b1)
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{
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*out = *next;
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++out;
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}
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i = next;
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++next;
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b0 = b1;
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}
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return out - tmp;
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}
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};
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#define CLIP_X_LT_W(p) (Vector4ClipLT< IntegralConstant<0> >::compare(p))
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#define CLIP_X_GT_W(p) (Vector4ClipGT< IntegralConstant<0> >::compare(p))
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#define CLIP_Y_LT_W(p) (Vector4ClipLT< IntegralConstant<1> >::compare(p))
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#define CLIP_Y_GT_W(p) (Vector4ClipGT< IntegralConstant<1> >::compare(p))
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#define CLIP_Z_LT_W(p) (Vector4ClipLT< IntegralConstant<2> >::compare(p))
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#define CLIP_Z_GT_W(p) (Vector4ClipGT< IntegralConstant<2> >::compare(p))
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inline ClipResult homogenous_clip_point(const Vector4& clipped)
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{
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ClipResult result = c_CLIP_FAIL;
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if(CLIP_X_LT_W(clipped)) result &= ~c_CLIP_LT_X; // X < W
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if(CLIP_X_GT_W(clipped)) result &= ~c_CLIP_GT_X; // X > -W
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if(CLIP_Y_LT_W(clipped)) result &= ~c_CLIP_LT_Y; // Y < W
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if(CLIP_Y_GT_W(clipped)) result &= ~c_CLIP_GT_Y; // Y > -W
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if(CLIP_Z_LT_W(clipped)) result &= ~c_CLIP_LT_Z; // Z < W
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if(CLIP_Z_GT_W(clipped)) result &= ~c_CLIP_GT_Z; // Z > -W
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return result;
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}
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/// \brief Clips \p point by canonical matrix \p self.
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/// Stores the result in \p clipped.
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/// Returns a bitmask indicating which clip-planes the point was outside.
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inline ClipResult matrix4_clip_point(const Matrix4& self, const Vector3& point, Vector4& clipped)
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{
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clipped[0] = point[0];
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clipped[1] = point[1];
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clipped[2] = point[2];
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clipped[3] = 1;
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matrix4_transform_vector4(self, clipped);
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return homogenous_clip_point(clipped);
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}
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inline std::size_t homogenous_clip_triangle(Vector4 clipped[9])
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{
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Vector4 buffer[9];
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std::size_t count = 3;
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count = Vector4ClipPolygon< Vector4ClipLT< IntegralConstant<0> > >::apply(clipped, clipped + count, buffer);
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count = Vector4ClipPolygon< Vector4ClipGT< IntegralConstant<0> > >::apply(buffer, buffer + count, clipped);
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count = Vector4ClipPolygon< Vector4ClipLT< IntegralConstant<1> > >::apply(clipped, clipped + count, buffer);
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count = Vector4ClipPolygon< Vector4ClipGT< IntegralConstant<1> > >::apply(buffer, buffer + count, clipped);
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count = Vector4ClipPolygon< Vector4ClipLT< IntegralConstant<2> > >::apply(clipped, clipped + count, buffer);
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return Vector4ClipPolygon< Vector4ClipGT< IntegralConstant<2> > >::apply(buffer, buffer + count, clipped);
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}
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/// \brief Transforms and clips the triangle formed by \p p0, \p p1, \p p2 by the canonical matrix \p self.
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/// Stores the resulting polygon in \p clipped.
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/// Returns the number of points in the resulting polygon.
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inline std::size_t matrix4_clip_triangle(const Matrix4& self, const Vector3& p0, const Vector3& p1, const Vector3& p2, Vector4 clipped[9])
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{
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clipped[0][0] = p0[0];
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clipped[0][1] = p0[1];
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clipped[0][2] = p0[2];
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clipped[0][3] = 1;
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clipped[1][0] = p1[0];
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clipped[1][1] = p1[1];
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clipped[1][2] = p1[2];
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clipped[1][3] = 1;
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clipped[2][0] = p2[0];
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clipped[2][1] = p2[1];
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clipped[2][2] = p2[2];
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clipped[2][3] = 1;
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matrix4_transform_vector4(self, clipped[0]);
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matrix4_transform_vector4(self, clipped[1]);
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matrix4_transform_vector4(self, clipped[2]);
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return homogenous_clip_triangle(clipped);
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}
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inline std::size_t homogenous_clip_line(Vector4 clipped[2])
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{
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const Vector4& p0 = clipped[0];
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const Vector4& p1 = clipped[1];
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// early out
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{
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ClipResult mask0 = homogenous_clip_point(clipped[0]);
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ClipResult mask1 = homogenous_clip_point(clipped[1]);
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if((mask0 | mask1) == c_CLIP_PASS) // both points passed all planes
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return 2;
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if(mask0 & mask1) // both points failed any one plane
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return 0;
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}
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{
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const bool index = CLIP_X_LT_W(p0);
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if(index ^ CLIP_X_LT_W(p1))
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{
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Vector4 clip(vector4_subtracted(p1, p0));
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double scale = (p0[0] - p0[3]) / (clip[3] - clip[0]);
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clip[0] = static_cast<float>(p0[0] + scale * clip[0]);
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clip[1] = static_cast<float>(p0[1] + scale * clip[1]);
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clip[2] = static_cast<float>(p0[2] + scale * clip[2]);
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clip[3] = static_cast<float>(p0[3] + scale * clip[3]);
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clipped[index] = clip;
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}
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else if(index == 0)
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return 0;
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}
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{
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const bool index = CLIP_X_GT_W(p0);
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if(index ^ CLIP_X_GT_W(p1))
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{
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Vector4 clip(vector4_subtracted(p1, p0));
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double scale = (p0[0] + p0[3]) / (-clip[3] - clip[0]);
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clip[0] = static_cast<float>(p0[0] + scale * clip[0]);
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clip[1] = static_cast<float>(p0[1] + scale * clip[1]);
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clip[2] = static_cast<float>(p0[2] + scale * clip[2]);
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clip[3] = static_cast<float>(p0[3] + scale * clip[3]);
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clipped[index] = clip;
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}
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else if(index == 0)
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return 0;
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}
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{
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const bool index = CLIP_Y_LT_W(p0);
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if(index ^ CLIP_Y_LT_W(p1))
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{
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Vector4 clip(vector4_subtracted(p1, p0));
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double scale = (p0[1] - p0[3]) / (clip[3] - clip[1]);
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clip[0] = static_cast<float>(p0[0] + scale * clip[0]);
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clip[1] = static_cast<float>(p0[1] + scale * clip[1]);
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clip[2] = static_cast<float>(p0[2] + scale * clip[2]);
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clip[3] = static_cast<float>(p0[3] + scale * clip[3]);
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clipped[index] = clip;
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}
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else if(index == 0)
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return 0;
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}
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{
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const bool index = CLIP_Y_GT_W(p0);
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if(index ^ CLIP_Y_GT_W(p1))
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{
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Vector4 clip(vector4_subtracted(p1, p0));
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double scale = (p0[1] + p0[3]) / (-clip[3] - clip[1]);
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clip[0] = static_cast<float>(p0[0] + scale * clip[0]);
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clip[1] = static_cast<float>(p0[1] + scale * clip[1]);
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clip[2] = static_cast<float>(p0[2] + scale * clip[2]);
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clip[3] = static_cast<float>(p0[3] + scale * clip[3]);
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clipped[index] = clip;
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}
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else if(index == 0)
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return 0;
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}
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{
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const bool index = CLIP_Z_LT_W(p0);
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if(index ^ CLIP_Z_LT_W(p1))
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{
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Vector4 clip(vector4_subtracted(p1, p0));
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double scale = (p0[2] - p0[3]) / (clip[3] - clip[2]);
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clip[0] = static_cast<float>(p0[0] + scale * clip[0]);
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clip[1] = static_cast<float>(p0[1] + scale * clip[1]);
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clip[2] = static_cast<float>(p0[2] + scale * clip[2]);
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clip[3] = static_cast<float>(p0[3] + scale * clip[3]);
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clipped[index] = clip;
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}
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else if(index == 0)
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return 0;
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}
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{
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const bool index = CLIP_Z_GT_W(p0);
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if(index ^ CLIP_Z_GT_W(p1))
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{
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Vector4 clip(vector4_subtracted(p1, p0));
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double scale = (p0[2] + p0[3]) / (-clip[3] - clip[2]);
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clip[0] = static_cast<float>(p0[0] + scale * clip[0]);
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clip[1] = static_cast<float>(p0[1] + scale * clip[1]);
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clip[2] = static_cast<float>(p0[2] + scale * clip[2]);
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clip[3] = static_cast<float>(p0[3] + scale * clip[3]);
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clipped[index] = clip;
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}
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else if(index == 0)
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return 0;
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}
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return 2;
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}
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/// \brief Transforms and clips the line formed by \p p0, \p p1 by the canonical matrix \p self.
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/// Stores the resulting line in \p clipped.
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/// Returns the number of points in the resulting line.
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inline std::size_t matrix4_clip_line(const Matrix4& self, const Vector3& p0, const Vector3& p1, Vector4 clipped[2])
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{
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clipped[0][0] = p0[0];
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clipped[0][1] = p0[1];
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clipped[0][2] = p0[2];
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clipped[0][3] = 1;
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clipped[1][0] = p1[0];
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clipped[1][1] = p1[1];
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clipped[1][2] = p1[2];
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clipped[1][3] = 1;
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matrix4_transform_vector4(self, clipped[0]);
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matrix4_transform_vector4(self, clipped[1]);
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return homogenous_clip_line(clipped);
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}
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struct Frustum
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{
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Plane3 right, left, bottom, top, back, front;
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Frustum()
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{
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}
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Frustum(const Plane3& _right,
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const Plane3& _left,
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const Plane3& _bottom,
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const Plane3& _top,
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const Plane3& _back,
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const Plane3& _front)
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: right(_right), left(_left), bottom(_bottom), top(_top), back(_back), front(_front)
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{
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}
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};
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inline Frustum frustum_transformed(const Frustum& frustum, const Matrix4& transform)
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{
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return Frustum(
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plane3_transformed(frustum.right, transform),
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plane3_transformed(frustum.left, transform),
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plane3_transformed(frustum.bottom, transform),
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plane3_transformed(frustum.top, transform),
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plane3_transformed(frustum.back, transform),
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plane3_transformed(frustum.front, transform)
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);
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}
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inline Frustum frustum_inverse_transformed(const Frustum& frustum, const Matrix4& transform)
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{
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return Frustum(
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plane3_inverse_transformed(frustum.right, transform),
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plane3_inverse_transformed(frustum.left, transform),
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plane3_inverse_transformed(frustum.bottom, transform),
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plane3_inverse_transformed(frustum.top, transform),
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plane3_inverse_transformed(frustum.back, transform),
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plane3_inverse_transformed(frustum.front, transform)
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);
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}
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inline bool viewproj_test_point(const Matrix4& viewproj, const Vector3& point)
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{
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Vector4 hpoint(matrix4_transformed_vector4(viewproj, Vector4(point, 1.0f)));
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if(fabs(hpoint[0]) < fabs(hpoint[3])
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&& fabs(hpoint[1]) < fabs(hpoint[3])
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&& fabs(hpoint[2]) < fabs(hpoint[3]))
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return true;
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return false;
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}
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inline bool viewproj_test_transformed_point(const Matrix4& viewproj, const Vector3& point, const Matrix4& localToWorld)
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{
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return viewproj_test_point(viewproj, matrix4_transformed_point(localToWorld, point));
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}
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inline Frustum frustum_from_viewproj(const Matrix4& viewproj)
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{
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return Frustum
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(
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plane3_normalised(Plane3(viewproj[ 3] - viewproj[ 0], viewproj[ 7] - viewproj[ 4], viewproj[11] - viewproj[ 8], viewproj[15] - viewproj[12])),
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plane3_normalised(Plane3(viewproj[ 3] + viewproj[ 0], viewproj[ 7] + viewproj[ 4], viewproj[11] + viewproj[ 8], viewproj[15] + viewproj[12])),
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plane3_normalised(Plane3(viewproj[ 3] + viewproj[ 1], viewproj[ 7] + viewproj[ 5], viewproj[11] + viewproj[ 9], viewproj[15] + viewproj[13])),
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plane3_normalised(Plane3(viewproj[ 3] - viewproj[ 1], viewproj[ 7] - viewproj[ 5], viewproj[11] - viewproj[ 9], viewproj[15] - viewproj[13])),
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plane3_normalised(Plane3(viewproj[ 3] - viewproj[ 2], viewproj[ 7] - viewproj[ 6], viewproj[11] - viewproj[10], viewproj[15] - viewproj[14])),
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plane3_normalised(Plane3(viewproj[ 3] + viewproj[ 2], viewproj[ 7] + viewproj[ 6], viewproj[11] + viewproj[10], viewproj[15] + viewproj[14]))
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);
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}
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struct VolumeIntersection
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{
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enum Value
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{
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OUTSIDE,
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INSIDE,
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PARTIAL
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};
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};
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typedef EnumeratedValue<VolumeIntersection> VolumeIntersectionValue;
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const VolumeIntersectionValue c_volumeOutside(VolumeIntersectionValue::OUTSIDE);
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const VolumeIntersectionValue c_volumeInside(VolumeIntersectionValue::INSIDE);
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const VolumeIntersectionValue c_volumePartial(VolumeIntersectionValue::PARTIAL);
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inline VolumeIntersectionValue frustum_test_aabb(const Frustum& frustum, const AABB& aabb)
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{
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VolumeIntersectionValue result = c_volumeInside;
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switch(aabb_classify_plane(aabb, frustum.right))
|
|
{
|
|
case 2:
|
|
return c_volumeOutside;
|
|
case 1:
|
|
result = c_volumePartial;
|
|
}
|
|
|
|
switch(aabb_classify_plane(aabb, frustum.left))
|
|
{
|
|
case 2:
|
|
return c_volumeOutside;
|
|
case 1:
|
|
result = c_volumePartial;
|
|
}
|
|
|
|
switch(aabb_classify_plane(aabb, frustum.bottom))
|
|
{
|
|
case 2:
|
|
return c_volumeOutside;
|
|
case 1:
|
|
result = c_volumePartial;
|
|
}
|
|
|
|
switch(aabb_classify_plane(aabb, frustum.top))
|
|
{
|
|
case 2:
|
|
return c_volumeOutside;
|
|
case 1:
|
|
result = c_volumePartial;
|
|
}
|
|
|
|
switch(aabb_classify_plane(aabb, frustum.back))
|
|
{
|
|
case 2:
|
|
return c_volumeOutside;
|
|
case 1:
|
|
result = c_volumePartial;
|
|
}
|
|
|
|
switch(aabb_classify_plane(aabb, frustum.front))
|
|
{
|
|
case 2:
|
|
return c_volumeOutside;
|
|
case 1:
|
|
result = c_volumePartial;
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
inline double plane_distance_to_point(const Plane3& plane, const Vector3& point)
|
|
{
|
|
return vector3_dot(plane.normal(), point) + plane.d;
|
|
}
|
|
|
|
inline double plane_distance_to_oriented_extents(const Plane3& plane, const Vector3& extents, const Matrix4& orientation)
|
|
{
|
|
return fabs(extents[0] * vector3_dot(plane.normal(), vector4_to_vector3(orientation.x())))
|
|
+ fabs(extents[1] * vector3_dot(plane.normal(), vector4_to_vector3(orientation.y())))
|
|
+ fabs(extents[2] * vector3_dot(plane.normal(), vector4_to_vector3(orientation.z())));
|
|
}
|
|
|
|
/// \brief Return false if \p aabb with \p orientation is partially or completely outside \p plane.
|
|
inline bool plane_contains_oriented_aabb(const Plane3& plane, const AABB& aabb, const Matrix4& orientation)
|
|
{
|
|
double dot = plane_distance_to_point(plane, aabb.origin);
|
|
return !(dot > 0 || -dot < plane_distance_to_oriented_extents(plane, aabb.extents, orientation));
|
|
}
|
|
|
|
inline VolumeIntersectionValue frustum_intersects_transformed_aabb(const Frustum& frustum, const AABB& aabb, const Matrix4& localToWorld)
|
|
{
|
|
AABB aabb_world(aabb);
|
|
matrix4_transform_point(localToWorld, aabb_world.origin);
|
|
|
|
if(plane_contains_oriented_aabb(frustum.right, aabb_world, localToWorld)
|
|
|| plane_contains_oriented_aabb(frustum.left, aabb_world, localToWorld)
|
|
|| plane_contains_oriented_aabb(frustum.bottom, aabb_world, localToWorld)
|
|
|| plane_contains_oriented_aabb(frustum.top, aabb_world, localToWorld)
|
|
|| plane_contains_oriented_aabb(frustum.back, aabb_world, localToWorld)
|
|
|| plane_contains_oriented_aabb(frustum.front, aabb_world, localToWorld))
|
|
return c_volumeOutside;
|
|
return c_volumeInside;
|
|
}
|
|
|
|
inline bool plane3_test_point(const Plane3& plane, const Vector3& point)
|
|
{
|
|
return vector3_dot(point, plane.normal()) + plane.dist() <= 0;
|
|
}
|
|
|
|
inline bool plane3_test_line(const Plane3& plane, const Segment& segment)
|
|
{
|
|
return segment_classify_plane(segment, plane) == 2;
|
|
}
|
|
|
|
inline bool frustum_test_point(const Frustum& frustum, const Vector3& point)
|
|
{
|
|
return !plane3_test_point(frustum.right, point)
|
|
&& !plane3_test_point(frustum.left, point)
|
|
&& !plane3_test_point(frustum.bottom, point)
|
|
&& !plane3_test_point(frustum.top, point)
|
|
&& !plane3_test_point(frustum.back, point)
|
|
&& !plane3_test_point(frustum.front, point);
|
|
}
|
|
|
|
inline bool frustum_test_line(const Frustum& frustum, const Segment& segment)
|
|
{
|
|
return !plane3_test_line(frustum.right, segment)
|
|
&& !plane3_test_line(frustum.left, segment)
|
|
&& !plane3_test_line(frustum.bottom, segment)
|
|
&& !plane3_test_line(frustum.top, segment)
|
|
&& !plane3_test_line(frustum.back, segment)
|
|
&& !plane3_test_line(frustum.front, segment);
|
|
}
|
|
|
|
inline bool viewer_test_plane(const Vector4& viewer, const Plane3& plane)
|
|
{
|
|
return ((plane.a * viewer[0])
|
|
+ (plane.b * viewer[1])
|
|
+ (plane.c * viewer[2])
|
|
+ (plane.d * viewer[3])) > 0;
|
|
}
|
|
|
|
inline Vector3 triangle_cross(const Vector3& p0, const Vector3& p1, const Vector3& p2)
|
|
{
|
|
return vector3_cross(vector3_subtracted(p1, p0), vector3_subtracted(p1, p2));
|
|
}
|
|
|
|
inline bool viewer_test_triangle(const Vector4& viewer, const Vector3& p0, const Vector3& p1, const Vector3& p2)
|
|
{
|
|
Vector3 cross(triangle_cross(p0, p1, p2));
|
|
return ((viewer[0] * cross[0])
|
|
+ (viewer[1] * cross[1])
|
|
+ (viewer[2] * cross[2])
|
|
+ (viewer[3] * 0)) > 0;
|
|
}
|
|
|
|
inline Vector4 viewer_from_transformed_viewer(const Vector4& viewer, const Matrix4& transform)
|
|
{
|
|
if(viewer[3] == 0)
|
|
{
|
|
return Vector4(matrix4_transformed_direction(transform, vector4_to_vector3(viewer)), 0);
|
|
}
|
|
else
|
|
{
|
|
return Vector4(matrix4_transformed_point(transform, vector4_to_vector3(viewer)), viewer[3]);
|
|
}
|
|
}
|
|
|
|
inline bool viewer_test_transformed_plane(const Vector4& viewer, const Plane3& plane, const Matrix4& localToWorld)
|
|
{
|
|
#if 0
|
|
return viewer_test_plane(viewer_from_transformed_viewer(viewer, matrix4_affine_inverse(localToWorld)), plane);
|
|
#else
|
|
return viewer_test_plane(viewer, plane3_transformed(plane, localToWorld));
|
|
#endif
|
|
}
|
|
|
|
inline Vector4 viewer_from_viewproj(const Matrix4& viewproj)
|
|
{
|
|
// get viewer pos in object coords
|
|
Vector4 viewer(matrix4_transformed_vector4(matrix4_full_inverse(viewproj), Vector4(0, 0, -1, 0)));
|
|
if(viewer[3] != 0) // non-affine matrix
|
|
{
|
|
viewer[0] /= viewer[3];
|
|
viewer[1] /= viewer[3];
|
|
viewer[2] /= viewer[3];
|
|
viewer[3] /= viewer[3];
|
|
}
|
|
return viewer;
|
|
}
|
|
|
|
#endif
|