godot/thirdparty/embree/common/math/bbox.h

332 lines
14 KiB
C++

// Copyright 2009-2021 Intel Corporation
// SPDX-License-Identifier: Apache-2.0
#pragma once
#include "vec2.h"
#include "vec3.h"
namespace embree
{
namespace internal {
template <typename T> __forceinline T divideByTwo(const T& v) { return v / T(2); }
template <> __forceinline float divideByTwo<float>(const float& v) { return v * 0.5f; }
template <> __forceinline double divideByTwo<double>(const double& v) { return v * 0.5; }
} // namespace internal
template<typename T>
struct BBox
{
T lower, upper;
////////////////////////////////////////////////////////////////////////////////
/// Construction
////////////////////////////////////////////////////////////////////////////////
__forceinline BBox ( ) { }
template<typename T1>
__forceinline BBox ( const BBox<T1>& other ) : lower(other.lower), upper(other.upper) {}
__forceinline BBox& operator=( const BBox& other ) { lower = other.lower; upper = other.upper; return *this; }
__forceinline BBox ( const T& v ) : lower(v), upper(v) {}
__forceinline BBox ( const T& lower, const T& upper ) : lower(lower), upper(upper) {}
////////////////////////////////////////////////////////////////////////////////
/// Extending Bounds
////////////////////////////////////////////////////////////////////////////////
__forceinline const BBox& extend(const BBox& other) { lower = min(lower,other.lower); upper = max(upper,other.upper); return *this; }
__forceinline const BBox& extend(const T & other) { lower = min(lower,other ); upper = max(upper,other ); return *this; }
/*! tests if box is empty */
__forceinline bool empty() const { for (int i=0; i<T::N; i++) if (lower[i] > upper[i]) return true; return false; }
/*! computes the size of the box */
__forceinline T size() const { return upper - lower; }
/*! computes the center of the box */
__forceinline T center() const { return internal::divideByTwo<T>(lower+upper); }
/*! computes twice the center of the box */
__forceinline T center2() const { return lower+upper; }
/*! merges two boxes */
__forceinline static const BBox merge (const BBox& a, const BBox& b) {
return BBox(min(a.lower, b.lower), max(a.upper, b.upper));
}
/*! enlarge box by some scaling factor */
__forceinline BBox enlarge_by(const float a) const {
return BBox(lower - T(a)*abs(lower), upper + T(a)*abs(upper));
}
////////////////////////////////////////////////////////////////////////////////
/// Constants
////////////////////////////////////////////////////////////////////////////////
__forceinline BBox( EmptyTy ) : lower(pos_inf), upper(neg_inf) {}
__forceinline BBox( FullTy ) : lower(neg_inf), upper(pos_inf) {}
__forceinline BBox( FalseTy ) : lower(pos_inf), upper(neg_inf) {}
__forceinline BBox( TrueTy ) : lower(neg_inf), upper(pos_inf) {}
__forceinline BBox( NegInfTy ): lower(pos_inf), upper(neg_inf) {}
__forceinline BBox( PosInfTy ): lower(neg_inf), upper(pos_inf) {}
};
template<> __forceinline bool BBox<float>::empty() const {
return lower > upper;
}
#if defined(__SSE__) || defined(__ARM_NEON)
template<> __forceinline bool BBox<Vec3fa>::empty() const {
return !all(le_mask(lower,upper));
}
template<> __forceinline bool BBox<Vec3fx>::empty() const {
return !all(le_mask(lower,upper));
}
#endif
/*! tests if box is finite */
__forceinline bool isvalid( const BBox<Vec3fa>& v ) {
return all(gt_mask(v.lower,Vec3fa_t(-FLT_LARGE)) & lt_mask(v.upper,Vec3fa_t(+FLT_LARGE)));
}
/*! tests if box is finite and non-empty*/
__forceinline bool isvalid_non_empty( const BBox<Vec3fa>& v ) {
return all(gt_mask(v.lower,Vec3fa_t(-FLT_LARGE)) & lt_mask(v.upper,Vec3fa_t(+FLT_LARGE)) & le_mask(v.lower,v.upper));
}
/*! tests if box has finite entries */
__forceinline bool is_finite( const BBox<Vec3fa>& b) {
return is_finite(b.lower) && is_finite(b.upper);
}
/*! test if point contained in box */
__forceinline bool inside ( const BBox<Vec3fa>& b, const Vec3fa& p ) { return all(ge_mask(p,b.lower) & le_mask(p,b.upper)); }
/*! computes the center of the box */
template<typename T> __forceinline const T center2(const BBox<T>& box) { return box.lower + box.upper; }
template<typename T> __forceinline const T center (const BBox<T>& box) { return internal::divideByTwo<T>(center2(box)); }
/*! computes the volume of a bounding box */
__forceinline float volume ( const BBox<Vec3fa>& b ) { return reduce_mul(b.size()); }
__forceinline float safeVolume( const BBox<Vec3fa>& b ) { if (b.empty()) return 0.0f; else return volume(b); }
/*! computes the volume of a bounding box */
__forceinline float volume( const BBox<Vec3f>& b ) { return reduce_mul(b.size()); }
/*! computes the surface area of a bounding box */
template<typename T> __forceinline const T area( const BBox<Vec2<T> >& b ) { const Vec2<T> d = b.size(); return d.x*d.y; }
template<typename T> __forceinline const T halfArea( const BBox<Vec3<T> >& b ) { return halfArea(b.size()); }
template<typename T> __forceinline const T area( const BBox<Vec3<T> >& b ) { return T(2)*halfArea(b); }
__forceinline float halfArea( const BBox<Vec3fa>& b ) { return halfArea(b.size()); }
__forceinline float area( const BBox<Vec3fa>& b ) { return 2.0f*halfArea(b); }
__forceinline float halfArea( const BBox<Vec3fx>& b ) { return halfArea(b.size()); }
__forceinline float area( const BBox<Vec3fx>& b ) { return 2.0f*halfArea(b); }
template<typename Vec> __forceinline float safeArea( const BBox<Vec>& b ) { if (b.empty()) return 0.0f; else return area(b); }
template<typename T> __forceinline float expectedApproxHalfArea(const BBox<T>& box) {
return halfArea(box);
}
/*! merges bounding boxes and points */
template<typename T> __forceinline const BBox<T> merge( const BBox<T>& a, const T& b ) { return BBox<T>(min(a.lower, b ), max(a.upper, b )); }
template<typename T> __forceinline const BBox<T> merge( const T& a, const BBox<T>& b ) { return BBox<T>(min(a , b.lower), max(a , b.upper)); }
template<typename T> __forceinline const BBox<T> merge( const BBox<T>& a, const BBox<T>& b ) { return BBox<T>(min(a.lower, b.lower), max(a.upper, b.upper)); }
/*! Merges three boxes. */
template<typename T> __forceinline const BBox<T> merge( const BBox<T>& a, const BBox<T>& b, const BBox<T>& c ) { return merge(a,merge(b,c)); }
/*! Merges four boxes. */
template<typename T> __forceinline BBox<T> merge(const BBox<T>& a, const BBox<T>& b, const BBox<T>& c, const BBox<T>& d) {
return merge(merge(a,b),merge(c,d));
}
/*! Comparison Operators */
template<typename T> __forceinline bool operator==( const BBox<T>& a, const BBox<T>& b ) { return a.lower == b.lower && a.upper == b.upper; }
template<typename T> __forceinline bool operator!=( const BBox<T>& a, const BBox<T>& b ) { return a.lower != b.lower || a.upper != b.upper; }
/*! scaling */
template<typename T> __forceinline BBox<T> operator *( const float& a, const BBox<T>& b ) { return BBox<T>(a*b.lower,a*b.upper); }
template<typename T> __forceinline BBox<T> operator *( const T& a, const BBox<T>& b ) { return BBox<T>(a*b.lower,a*b.upper); }
/*! translations */
template<typename T> __forceinline BBox<T> operator +( const BBox<T>& a, const BBox<T>& b ) { return BBox<T>(a.lower+b.lower,a.upper+b.upper); }
template<typename T> __forceinline BBox<T> operator -( const BBox<T>& a, const BBox<T>& b ) { return BBox<T>(a.lower-b.lower,a.upper-b.upper); }
template<typename T> __forceinline BBox<T> operator +( const BBox<T>& a, const T & b ) { return BBox<T>(a.lower+b ,a.upper+b ); }
template<typename T> __forceinline BBox<T> operator -( const BBox<T>& a, const T & b ) { return BBox<T>(a.lower-b ,a.upper-b ); }
/*! extension */
template<typename T> __forceinline BBox<T> enlarge(const BBox<T>& a, const T& b) { return BBox<T>(a.lower-b, a.upper+b); }
/*! intersect bounding boxes */
template<typename T> __forceinline const BBox<T> intersect( const BBox<T>& a, const BBox<T>& b ) { return BBox<T>(max(a.lower, b.lower), min(a.upper, b.upper)); }
template<typename T> __forceinline const BBox<T> intersect( const BBox<T>& a, const BBox<T>& b, const BBox<T>& c ) { return intersect(a,intersect(b,c)); }
template<typename T> __forceinline const BBox<T> intersect( const BBox<T>& a, const BBox<T>& b, const BBox<T>& c, const BBox<T>& d ) { return intersect(intersect(a,b),intersect(c,d)); }
/*! subtract bounds from each other */
template<typename T> __forceinline void subtract(const BBox<T>& a, const BBox<T>& b, BBox<T>& c, BBox<T>& d)
{
c.lower = a.lower;
c.upper = min(a.upper,b.lower);
d.lower = max(a.lower,b.upper);
d.upper = a.upper;
}
/*! tests if bounding boxes (and points) are disjoint (empty intersection) */
template<typename T> __inline bool disjoint( const BBox<T>& a, const BBox<T>& b ) { return intersect(a,b).empty(); }
template<typename T> __inline bool disjoint( const BBox<T>& a, const T& b ) { return disjoint(a,BBox<T>(b)); }
template<typename T> __inline bool disjoint( const T& a, const BBox<T>& b ) { return disjoint(BBox<T>(a),b); }
/*! tests if bounding boxes (and points) are conjoint (non-empty intersection) */
template<typename T> __inline bool conjoint( const BBox<T>& a, const BBox<T>& b ) { return !intersect(a,b).empty(); }
template<typename T> __inline bool conjoint( const BBox<T>& a, const T& b ) { return conjoint(a,BBox<T>(b)); }
template<typename T> __inline bool conjoint( const T& a, const BBox<T>& b ) { return conjoint(BBox<T>(a),b); }
/*! subset relation */
template<typename T> __inline bool subset( const BBox<T>& a, const BBox<T>& b )
{
for ( size_t i = 0; i < T::N; i++ ) if ( a.lower[i] < b.lower[i] ) return false;
for ( size_t i = 0; i < T::N; i++ ) if ( a.upper[i] > b.upper[i] ) return false;
return true;
}
template<> __inline bool subset( const BBox<Vec3fa>& a, const BBox<Vec3fa>& b ) {
return all(ge_mask(a.lower,b.lower)) && all(le_mask(a.upper,b.upper));
}
template<> __inline bool subset( const BBox<Vec3fx>& a, const BBox<Vec3fx>& b ) {
return all(ge_mask(a.lower,b.lower)) && all(le_mask(a.upper,b.upper));
}
/*! blending */
template<typename T>
__forceinline BBox<T> lerp(const BBox<T>& b0, const BBox<T>& b1, const float t) {
return BBox<T>(lerp(b0.lower,b1.lower,t),lerp(b0.upper,b1.upper,t));
}
/*! output operator */
template<typename T> __forceinline embree_ostream operator<<(embree_ostream cout, const BBox<T>& box) {
return cout << "[" << box.lower << "; " << box.upper << "]";
}
/*! default template instantiations */
typedef BBox<float> BBox1f;
typedef BBox<Vec2f> BBox2f;
typedef BBox<Vec2fa> BBox2fa;
typedef BBox<Vec3f> BBox3f;
typedef BBox<Vec3fa> BBox3fa;
typedef BBox<Vec3fx> BBox3fx;
typedef BBox<Vec3ff> BBox3ff;
}
////////////////////////////////////////////////////////////////////////////////
/// SSE / AVX / MIC specializations
////////////////////////////////////////////////////////////////////////////////
#if defined (__SSE__) || defined(__ARM_NEON)
#include "../simd/sse.h"
#endif
#if defined (__AVX__)
#include "../simd/avx.h"
#endif
#if defined(__AVX512F__)
#include "../simd/avx512.h"
#endif
namespace embree
{
template<int N>
__forceinline BBox<Vec3<vfloat<N>>> transpose(const BBox3fa* bounds);
template<>
__forceinline BBox<Vec3<vfloat4>> transpose<4>(const BBox3fa* bounds)
{
BBox<Vec3<vfloat4>> dest;
transpose((vfloat4&)bounds[0].lower,
(vfloat4&)bounds[1].lower,
(vfloat4&)bounds[2].lower,
(vfloat4&)bounds[3].lower,
dest.lower.x,
dest.lower.y,
dest.lower.z);
transpose((vfloat4&)bounds[0].upper,
(vfloat4&)bounds[1].upper,
(vfloat4&)bounds[2].upper,
(vfloat4&)bounds[3].upper,
dest.upper.x,
dest.upper.y,
dest.upper.z);
return dest;
}
#if defined(__AVX__)
template<>
__forceinline BBox<Vec3<vfloat8>> transpose<8>(const BBox3fa* bounds)
{
BBox<Vec3<vfloat8>> dest;
transpose((vfloat4&)bounds[0].lower,
(vfloat4&)bounds[1].lower,
(vfloat4&)bounds[2].lower,
(vfloat4&)bounds[3].lower,
(vfloat4&)bounds[4].lower,
(vfloat4&)bounds[5].lower,
(vfloat4&)bounds[6].lower,
(vfloat4&)bounds[7].lower,
dest.lower.x,
dest.lower.y,
dest.lower.z);
transpose((vfloat4&)bounds[0].upper,
(vfloat4&)bounds[1].upper,
(vfloat4&)bounds[2].upper,
(vfloat4&)bounds[3].upper,
(vfloat4&)bounds[4].upper,
(vfloat4&)bounds[5].upper,
(vfloat4&)bounds[6].upper,
(vfloat4&)bounds[7].upper,
dest.upper.x,
dest.upper.y,
dest.upper.z);
return dest;
}
#endif
template<int N>
__forceinline BBox3fa merge(const BBox3fa* bounds);
template<>
__forceinline BBox3fa merge<4>(const BBox3fa* bounds)
{
const Vec3fa lower = min(min(bounds[0].lower,bounds[1].lower),
min(bounds[2].lower,bounds[3].lower));
const Vec3fa upper = max(max(bounds[0].upper,bounds[1].upper),
max(bounds[2].upper,bounds[3].upper));
return BBox3fa(lower,upper);
}
#if defined(__AVX__)
template<>
__forceinline BBox3fa merge<8>(const BBox3fa* bounds)
{
const Vec3fa lower = min(min(min(bounds[0].lower,bounds[1].lower),min(bounds[2].lower,bounds[3].lower)),
min(min(bounds[4].lower,bounds[5].lower),min(bounds[6].lower,bounds[7].lower)));
const Vec3fa upper = max(max(max(bounds[0].upper,bounds[1].upper),max(bounds[2].upper,bounds[3].upper)),
max(max(bounds[4].upper,bounds[5].upper),max(bounds[6].upper,bounds[7].upper)));
return BBox3fa(lower,upper);
}
#endif
}