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-rw-r--r--thirdparty/embree/kernels/geometry/subgrid.h517
1 files changed, 517 insertions, 0 deletions
diff --git a/thirdparty/embree/kernels/geometry/subgrid.h b/thirdparty/embree/kernels/geometry/subgrid.h
new file mode 100644
index 0000000000..ce54421cab
--- /dev/null
+++ b/thirdparty/embree/kernels/geometry/subgrid.h
@@ -0,0 +1,517 @@
+// Copyright 2009-2021 Intel Corporation
+// SPDX-License-Identifier: Apache-2.0
+
+#pragma once
+
+#include "../common/ray.h"
+#include "../common/scene_grid_mesh.h"
+#include "../bvh/bvh.h"
+
+namespace embree
+{
+ /* Stores M quads from an indexed face set */
+ struct SubGrid
+ {
+ /* Virtual interface to query information about the quad type */
+ struct Type : public PrimitiveType
+ {
+ const char* name() const;
+ size_t sizeActive(const char* This) const;
+ size_t sizeTotal(const char* This) const;
+ size_t getBytes(const char* This) const;
+ };
+ static Type type;
+
+ public:
+
+ /* primitive supports multiple time segments */
+ static const bool singleTimeSegment = false;
+
+ /* Returns maximum number of stored quads */
+ static __forceinline size_t max_size() { return 1; }
+
+ /* Returns required number of primitive blocks for N primitives */
+ static __forceinline size_t blocks(size_t N) { return (N+max_size()-1)/max_size(); }
+
+ public:
+
+ /* Default constructor */
+ __forceinline SubGrid() { }
+
+ /* Construction from vertices and IDs */
+ __forceinline SubGrid(const unsigned int x,
+ const unsigned int y,
+ const unsigned int geomID,
+ const unsigned int primID)
+ : _x(x), _y(y), _geomID(geomID), _primID(primID)
+ {
+ }
+
+ __forceinline bool invalid3x3X() const { return (unsigned int)_x & (1<<15); }
+ __forceinline bool invalid3x3Y() const { return (unsigned int)_y & (1<<15); }
+
+ /* Gather the quads */
+ __forceinline void gather(Vec3vf4& p0,
+ Vec3vf4& p1,
+ Vec3vf4& p2,
+ Vec3vf4& p3,
+ const GridMesh* const mesh,
+ const GridMesh::Grid &g) const
+ {
+ /* first quad always valid */
+ const size_t vtxID00 = g.startVtxID + x() + y() * g.lineVtxOffset;
+ const size_t vtxID01 = vtxID00 + 1;
+ const vfloat4 vtx00 = vfloat4::loadu(mesh->vertexPtr(vtxID00));
+ const vfloat4 vtx01 = vfloat4::loadu(mesh->vertexPtr(vtxID01));
+ const size_t vtxID10 = vtxID00 + g.lineVtxOffset;
+ const size_t vtxID11 = vtxID01 + g.lineVtxOffset;
+ const vfloat4 vtx10 = vfloat4::loadu(mesh->vertexPtr(vtxID10));
+ const vfloat4 vtx11 = vfloat4::loadu(mesh->vertexPtr(vtxID11));
+
+ /* deltaX => vtx02, vtx12 */
+ const size_t deltaX = invalid3x3X() ? 0 : 1;
+ const size_t vtxID02 = vtxID01 + deltaX;
+ const vfloat4 vtx02 = vfloat4::loadu(mesh->vertexPtr(vtxID02));
+ const size_t vtxID12 = vtxID11 + deltaX;
+ const vfloat4 vtx12 = vfloat4::loadu(mesh->vertexPtr(vtxID12));
+
+ /* deltaY => vtx20, vtx21 */
+ const size_t deltaY = invalid3x3Y() ? 0 : g.lineVtxOffset;
+ const size_t vtxID20 = vtxID10 + deltaY;
+ const size_t vtxID21 = vtxID11 + deltaY;
+ const vfloat4 vtx20 = vfloat4::loadu(mesh->vertexPtr(vtxID20));
+ const vfloat4 vtx21 = vfloat4::loadu(mesh->vertexPtr(vtxID21));
+
+ /* deltaX/deltaY => vtx22 */
+ const size_t vtxID22 = vtxID11 + deltaX + deltaY;
+ const vfloat4 vtx22 = vfloat4::loadu(mesh->vertexPtr(vtxID22));
+
+ transpose(vtx00,vtx01,vtx11,vtx10,p0.x,p0.y,p0.z);
+ transpose(vtx01,vtx02,vtx12,vtx11,p1.x,p1.y,p1.z);
+ transpose(vtx11,vtx12,vtx22,vtx21,p2.x,p2.y,p2.z);
+ transpose(vtx10,vtx11,vtx21,vtx20,p3.x,p3.y,p3.z);
+ }
+
+ template<typename T>
+ __forceinline vfloat4 getVertexMB(const GridMesh* const mesh, const size_t offset, const size_t itime, const float ftime) const
+ {
+ const T v0 = T::loadu(mesh->vertexPtr(offset,itime+0));
+ const T v1 = T::loadu(mesh->vertexPtr(offset,itime+1));
+ return lerp(v0,v1,ftime);
+ }
+
+ /* Gather the quads */
+ __forceinline void gatherMB(Vec3vf4& p0,
+ Vec3vf4& p1,
+ Vec3vf4& p2,
+ Vec3vf4& p3,
+ const GridMesh* const mesh,
+ const GridMesh::Grid &g,
+ const size_t itime,
+ const float ftime) const
+ {
+ /* first quad always valid */
+ const size_t vtxID00 = g.startVtxID + x() + y() * g.lineVtxOffset;
+ const size_t vtxID01 = vtxID00 + 1;
+ const vfloat4 vtx00 = getVertexMB<vfloat4>(mesh,vtxID00,itime,ftime);
+ const vfloat4 vtx01 = getVertexMB<vfloat4>(mesh,vtxID01,itime,ftime);
+ const size_t vtxID10 = vtxID00 + g.lineVtxOffset;
+ const size_t vtxID11 = vtxID01 + g.lineVtxOffset;
+ const vfloat4 vtx10 = getVertexMB<vfloat4>(mesh,vtxID10,itime,ftime);
+ const vfloat4 vtx11 = getVertexMB<vfloat4>(mesh,vtxID11,itime,ftime);
+
+ /* deltaX => vtx02, vtx12 */
+ const size_t deltaX = invalid3x3X() ? 0 : 1;
+ const size_t vtxID02 = vtxID01 + deltaX;
+ const vfloat4 vtx02 = getVertexMB<vfloat4>(mesh,vtxID02,itime,ftime);
+ const size_t vtxID12 = vtxID11 + deltaX;
+ const vfloat4 vtx12 = getVertexMB<vfloat4>(mesh,vtxID12,itime,ftime);
+
+ /* deltaY => vtx20, vtx21 */
+ const size_t deltaY = invalid3x3Y() ? 0 : g.lineVtxOffset;
+ const size_t vtxID20 = vtxID10 + deltaY;
+ const size_t vtxID21 = vtxID11 + deltaY;
+ const vfloat4 vtx20 = getVertexMB<vfloat4>(mesh,vtxID20,itime,ftime);
+ const vfloat4 vtx21 = getVertexMB<vfloat4>(mesh,vtxID21,itime,ftime);
+
+ /* deltaX/deltaY => vtx22 */
+ const size_t vtxID22 = vtxID11 + deltaX + deltaY;
+ const vfloat4 vtx22 = getVertexMB<vfloat4>(mesh,vtxID22,itime,ftime);
+
+ transpose(vtx00,vtx01,vtx11,vtx10,p0.x,p0.y,p0.z);
+ transpose(vtx01,vtx02,vtx12,vtx11,p1.x,p1.y,p1.z);
+ transpose(vtx11,vtx12,vtx22,vtx21,p2.x,p2.y,p2.z);
+ transpose(vtx10,vtx11,vtx21,vtx20,p3.x,p3.y,p3.z);
+ }
+
+
+
+ /* Gather the quads */
+ __forceinline void gather(Vec3vf4& p0,
+ Vec3vf4& p1,
+ Vec3vf4& p2,
+ Vec3vf4& p3,
+ const Scene *const scene) const
+ {
+ const GridMesh* const mesh = scene->get<GridMesh>(geomID());
+ const GridMesh::Grid &g = mesh->grid(primID());
+ gather(p0,p1,p2,p3,mesh,g);
+ }
+
+ /* Gather the quads in the motion blur case */
+ __forceinline void gatherMB(Vec3vf4& p0,
+ Vec3vf4& p1,
+ Vec3vf4& p2,
+ Vec3vf4& p3,
+ const Scene *const scene,
+ const size_t itime,
+ const float ftime) const
+ {
+ const GridMesh* const mesh = scene->get<GridMesh>(geomID());
+ const GridMesh::Grid &g = mesh->grid(primID());
+ gatherMB(p0,p1,p2,p3,mesh,g,itime,ftime);
+ }
+
+ /* Gather the quads */
+ __forceinline void gather(Vec3fa vtx[16], const Scene *const scene) const
+ {
+ const GridMesh* mesh = scene->get<GridMesh>(geomID());
+ const GridMesh::Grid &g = mesh->grid(primID());
+
+ /* first quad always valid */
+ const size_t vtxID00 = g.startVtxID + x() + y() * g.lineVtxOffset;
+ const size_t vtxID01 = vtxID00 + 1;
+ const Vec3fa vtx00 = Vec3fa::loadu(mesh->vertexPtr(vtxID00));
+ const Vec3fa vtx01 = Vec3fa::loadu(mesh->vertexPtr(vtxID01));
+ const size_t vtxID10 = vtxID00 + g.lineVtxOffset;
+ const size_t vtxID11 = vtxID01 + g.lineVtxOffset;
+ const Vec3fa vtx10 = Vec3fa::loadu(mesh->vertexPtr(vtxID10));
+ const Vec3fa vtx11 = Vec3fa::loadu(mesh->vertexPtr(vtxID11));
+
+ /* deltaX => vtx02, vtx12 */
+ const size_t deltaX = invalid3x3X() ? 0 : 1;
+ const size_t vtxID02 = vtxID01 + deltaX;
+ const Vec3fa vtx02 = Vec3fa::loadu(mesh->vertexPtr(vtxID02));
+ const size_t vtxID12 = vtxID11 + deltaX;
+ const Vec3fa vtx12 = Vec3fa::loadu(mesh->vertexPtr(vtxID12));
+
+ /* deltaY => vtx20, vtx21 */
+ const size_t deltaY = invalid3x3Y() ? 0 : g.lineVtxOffset;
+ const size_t vtxID20 = vtxID10 + deltaY;
+ const size_t vtxID21 = vtxID11 + deltaY;
+ const Vec3fa vtx20 = Vec3fa::loadu(mesh->vertexPtr(vtxID20));
+ const Vec3fa vtx21 = Vec3fa::loadu(mesh->vertexPtr(vtxID21));
+
+ /* deltaX/deltaY => vtx22 */
+ const size_t vtxID22 = vtxID11 + deltaX + deltaY;
+ const Vec3fa vtx22 = Vec3fa::loadu(mesh->vertexPtr(vtxID22));
+
+ vtx[ 0] = vtx00; vtx[ 1] = vtx01; vtx[ 2] = vtx11; vtx[ 3] = vtx10;
+ vtx[ 4] = vtx01; vtx[ 5] = vtx02; vtx[ 6] = vtx12; vtx[ 7] = vtx11;
+ vtx[ 8] = vtx10; vtx[ 9] = vtx11; vtx[10] = vtx21; vtx[11] = vtx20;
+ vtx[12] = vtx11; vtx[13] = vtx12; vtx[14] = vtx22; vtx[15] = vtx21;
+ }
+
+ /* Gather the quads */
+ __forceinline void gatherMB(vfloat4 vtx[16], const Scene *const scene, const size_t itime, const float ftime) const
+ {
+ const GridMesh* mesh = scene->get<GridMesh>(geomID());
+ const GridMesh::Grid &g = mesh->grid(primID());
+
+ /* first quad always valid */
+ const size_t vtxID00 = g.startVtxID + x() + y() * g.lineVtxOffset;
+ const size_t vtxID01 = vtxID00 + 1;
+ const vfloat4 vtx00 = getVertexMB<vfloat4>(mesh,vtxID00,itime,ftime);
+ const vfloat4 vtx01 = getVertexMB<vfloat4>(mesh,vtxID01,itime,ftime);
+ const size_t vtxID10 = vtxID00 + g.lineVtxOffset;
+ const size_t vtxID11 = vtxID01 + g.lineVtxOffset;
+ const vfloat4 vtx10 = getVertexMB<vfloat4>(mesh,vtxID10,itime,ftime);
+ const vfloat4 vtx11 = getVertexMB<vfloat4>(mesh,vtxID11,itime,ftime);
+
+ /* deltaX => vtx02, vtx12 */
+ const size_t deltaX = invalid3x3X() ? 0 : 1;
+ const size_t vtxID02 = vtxID01 + deltaX;
+ const vfloat4 vtx02 = getVertexMB<vfloat4>(mesh,vtxID02,itime,ftime);
+ const size_t vtxID12 = vtxID11 + deltaX;
+ const vfloat4 vtx12 = getVertexMB<vfloat4>(mesh,vtxID12,itime,ftime);
+
+ /* deltaY => vtx20, vtx21 */
+ const size_t deltaY = invalid3x3Y() ? 0 : g.lineVtxOffset;
+ const size_t vtxID20 = vtxID10 + deltaY;
+ const size_t vtxID21 = vtxID11 + deltaY;
+ const vfloat4 vtx20 = getVertexMB<vfloat4>(mesh,vtxID20,itime,ftime);
+ const vfloat4 vtx21 = getVertexMB<vfloat4>(mesh,vtxID21,itime,ftime);
+
+ /* deltaX/deltaY => vtx22 */
+ const size_t vtxID22 = vtxID11 + deltaX + deltaY;
+ const vfloat4 vtx22 = getVertexMB<vfloat4>(mesh,vtxID22,itime,ftime);
+
+ vtx[ 0] = vtx00; vtx[ 1] = vtx01; vtx[ 2] = vtx11; vtx[ 3] = vtx10;
+ vtx[ 4] = vtx01; vtx[ 5] = vtx02; vtx[ 6] = vtx12; vtx[ 7] = vtx11;
+ vtx[ 8] = vtx10; vtx[ 9] = vtx11; vtx[10] = vtx21; vtx[11] = vtx20;
+ vtx[12] = vtx11; vtx[13] = vtx12; vtx[14] = vtx22; vtx[15] = vtx21;
+ }
+
+
+ /* Calculate the bounds of the subgrid */
+ __forceinline const BBox3fa bounds(const Scene *const scene, const size_t itime=0) const
+ {
+ BBox3fa bounds = empty;
+ FATAL("not implemented yet");
+ return bounds;
+ }
+
+ /* Calculate the linear bounds of the primitive */
+ __forceinline LBBox3fa linearBounds(const Scene* const scene, const size_t itime)
+ {
+ return LBBox3fa(bounds(scene,itime+0),bounds(scene,itime+1));
+ }
+
+ __forceinline LBBox3fa linearBounds(const Scene *const scene, size_t itime, size_t numTimeSteps)
+ {
+ LBBox3fa allBounds = empty;
+ FATAL("not implemented yet");
+ return allBounds;
+ }
+
+ __forceinline LBBox3fa linearBounds(const Scene *const scene, const BBox1f time_range)
+ {
+ LBBox3fa allBounds = empty;
+ FATAL("not implemented yet");
+ return allBounds;
+ }
+
+
+ friend embree_ostream operator<<(embree_ostream cout, const SubGrid& sg) {
+ return cout << "SubGrid " << " ( x " << sg.x() << ", y = " << sg.y() << ", geomID = " << sg.geomID() << ", primID = " << sg.primID() << " )";
+ }
+
+ __forceinline unsigned int geomID() const { return _geomID; }
+ __forceinline unsigned int primID() const { return _primID; }
+ __forceinline unsigned int x() const { return (unsigned int)_x & 0x7fff; }
+ __forceinline unsigned int y() const { return (unsigned int)_y & 0x7fff; }
+
+ private:
+ unsigned short _x;
+ unsigned short _y;
+ unsigned int _geomID; // geometry ID of mesh
+ unsigned int _primID; // primitive ID of primitive inside mesh
+ };
+
+ struct SubGridID {
+ unsigned short x;
+ unsigned short y;
+ unsigned int primID;
+
+ __forceinline SubGridID() {}
+ __forceinline SubGridID(const unsigned int x, const unsigned int y, const unsigned int primID) :
+ x(x), y(y), primID(primID) {}
+ };
+
+ /* QuantizedBaseNode as large subgrid leaf */
+ template<int N>
+ struct SubGridQBVHN
+ {
+ /* Virtual interface to query information about the quad type */
+ struct Type : public PrimitiveType
+ {
+ const char* name() const;
+ size_t sizeActive(const char* This) const;
+ size_t sizeTotal(const char* This) const;
+ size_t getBytes(const char* This) const;
+ };
+ static Type type;
+
+ public:
+
+ __forceinline size_t size() const
+ {
+ for (size_t i=0;i<N;i++)
+ if (primID(i) == -1) return i;
+ return N;
+ }
+
+ __forceinline void clear() {
+ for (size_t i=0;i<N;i++)
+ subgridIDs[i] = SubGridID(0,0,(unsigned int)-1);
+ qnode.clear();
+ }
+
+ /* Default constructor */
+ __forceinline SubGridQBVHN() { }
+
+ /* Construction from vertices and IDs */
+ __forceinline SubGridQBVHN(const unsigned int x[N],
+ const unsigned int y[N],
+ const unsigned int primID[N],
+ const BBox3fa * const subGridBounds,
+ const unsigned int geomID,
+ const unsigned int items)
+ {
+ clear();
+ _geomID = geomID;
+
+ __aligned(64) typename BVHN<N>::AABBNode node;
+ node.clear();
+ for (size_t i=0;i<items;i++)
+ {
+ subgridIDs[i] = SubGridID(x[i],y[i],primID[i]);
+ node.setBounds(i,subGridBounds[i]);
+ }
+ qnode.init_dim(node);
+ }
+
+ __forceinline unsigned int geomID() const { return _geomID; }
+ __forceinline unsigned int primID(const size_t i) const { assert(i < N); return subgridIDs[i].primID; }
+ __forceinline unsigned int x(const size_t i) const { assert(i < N); return subgridIDs[i].x; }
+ __forceinline unsigned int y(const size_t i) const { assert(i < N); return subgridIDs[i].y; }
+
+ __forceinline SubGrid subgrid(const size_t i) const {
+ assert(i < N);
+ assert(primID(i) != -1);
+ return SubGrid(x(i),y(i),geomID(),primID(i));
+ }
+
+ public:
+ SubGridID subgridIDs[N];
+
+ typename BVHN<N>::QuantizedBaseNode qnode;
+
+ unsigned int _geomID; // geometry ID of mesh
+
+
+ friend embree_ostream operator<<(embree_ostream cout, const SubGridQBVHN& sg) {
+ cout << "SubGridQBVHN " << embree_endl;
+ for (size_t i=0;i<N;i++)
+ cout << i << " ( x = " << sg.subgridIDs[i].x << ", y = " << sg.subgridIDs[i].y << ", primID = " << sg.subgridIDs[i].primID << " )" << embree_endl;
+ cout << "geomID " << sg._geomID << embree_endl;
+ cout << "lowerX " << sg.qnode.dequantizeLowerX() << embree_endl;
+ cout << "upperX " << sg.qnode.dequantizeUpperX() << embree_endl;
+ cout << "lowerY " << sg.qnode.dequantizeLowerY() << embree_endl;
+ cout << "upperY " << sg.qnode.dequantizeUpperY() << embree_endl;
+ cout << "lowerZ " << sg.qnode.dequantizeLowerZ() << embree_endl;
+ cout << "upperZ " << sg.qnode.dequantizeUpperZ() << embree_endl;
+ return cout;
+ }
+
+ };
+
+ template<int N>
+ typename SubGridQBVHN<N>::Type SubGridQBVHN<N>::type;
+
+ typedef SubGridQBVHN<4> SubGridQBVH4;
+ typedef SubGridQBVHN<8> SubGridQBVH8;
+
+
+ /* QuantizedBaseNode as large subgrid leaf */
+ template<int N>
+ struct SubGridMBQBVHN
+ {
+ /* Virtual interface to query information about the quad type */
+ struct Type : public PrimitiveType
+ {
+ const char* name() const;
+ size_t sizeActive(const char* This) const;
+ size_t sizeTotal(const char* This) const;
+ size_t getBytes(const char* This) const;
+ };
+ static Type type;
+
+ public:
+
+ __forceinline size_t size() const
+ {
+ for (size_t i=0;i<N;i++)
+ if (primID(i) == -1) return i;
+ return N;
+ }
+
+ __forceinline void clear() {
+ for (size_t i=0;i<N;i++)
+ subgridIDs[i] = SubGridID(0,0,(unsigned int)-1);
+ qnode.clear();
+ }
+
+ /* Default constructor */
+ __forceinline SubGridMBQBVHN() { }
+
+ /* Construction from vertices and IDs */
+ __forceinline SubGridMBQBVHN(const unsigned int x[N],
+ const unsigned int y[N],
+ const unsigned int primID[N],
+ const BBox3fa * const subGridBounds0,
+ const BBox3fa * const subGridBounds1,
+ const unsigned int geomID,
+ const float toffset,
+ const float tscale,
+ const unsigned int items)
+ {
+ clear();
+ _geomID = geomID;
+ time_offset = toffset;
+ time_scale = tscale;
+
+ __aligned(64) typename BVHN<N>::AABBNode node0,node1;
+ node0.clear();
+ node1.clear();
+ for (size_t i=0;i<items;i++)
+ {
+ subgridIDs[i] = SubGridID(x[i],y[i],primID[i]);
+ node0.setBounds(i,subGridBounds0[i]);
+ node1.setBounds(i,subGridBounds1[i]);
+ }
+ qnode.node0.init_dim(node0);
+ qnode.node1.init_dim(node1);
+ }
+
+ __forceinline unsigned int geomID() const { return _geomID; }
+ __forceinline unsigned int primID(const size_t i) const { assert(i < N); return subgridIDs[i].primID; }
+ __forceinline unsigned int x(const size_t i) const { assert(i < N); return subgridIDs[i].x; }
+ __forceinline unsigned int y(const size_t i) const { assert(i < N); return subgridIDs[i].y; }
+
+ __forceinline SubGrid subgrid(const size_t i) const {
+ assert(i < N);
+ assert(primID(i) != -1);
+ return SubGrid(x(i),y(i),geomID(),primID(i));
+ }
+
+ __forceinline float adjustTime(const float t) const { return time_scale * (t-time_offset); }
+
+ template<int K>
+ __forceinline vfloat<K> adjustTime(const vfloat<K> &t) const { return time_scale * (t-time_offset); }
+
+ public:
+ SubGridID subgridIDs[N];
+
+ typename BVHN<N>::QuantizedBaseNodeMB qnode;
+
+ float time_offset;
+ float time_scale;
+ unsigned int _geomID; // geometry ID of mesh
+
+
+ friend embree_ostream operator<<(embree_ostream cout, const SubGridMBQBVHN& sg) {
+ cout << "SubGridMBQBVHN " << embree_endl;
+ for (size_t i=0;i<N;i++)
+ cout << i << " ( x = " << sg.subgridIDs[i].x << ", y = " << sg.subgridIDs[i].y << ", primID = " << sg.subgridIDs[i].primID << " )" << embree_endl;
+ cout << "geomID " << sg._geomID << embree_endl;
+ cout << "time_offset " << sg.time_offset << embree_endl;
+ cout << "time_scale " << sg.time_scale << embree_endl;
+ cout << "lowerX " << sg.qnode.node0.dequantizeLowerX() << embree_endl;
+ cout << "upperX " << sg.qnode.node0.dequantizeUpperX() << embree_endl;
+ cout << "lowerY " << sg.qnode.node0.dequantizeLowerY() << embree_endl;
+ cout << "upperY " << sg.qnode.node0.dequantizeUpperY() << embree_endl;
+ cout << "lowerZ " << sg.qnode.node0.dequantizeLowerZ() << embree_endl;
+ cout << "upperZ " << sg.qnode.node0.dequantizeUpperZ() << embree_endl;
+ cout << "lowerX " << sg.qnode.node1.dequantizeLowerX() << embree_endl;
+ cout << "upperX " << sg.qnode.node1.dequantizeUpperX() << embree_endl;
+ cout << "lowerY " << sg.qnode.node1.dequantizeLowerY() << embree_endl;
+ cout << "upperY " << sg.qnode.node1.dequantizeUpperY() << embree_endl;
+ cout << "lowerZ " << sg.qnode.node1.dequantizeLowerZ() << embree_endl;
+ cout << "upperZ " << sg.qnode.node1.dequantizeUpperZ() << embree_endl;
+ return cout;
+ }
+
+ };
+
+}
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