HeteQuadrature/algoim/organizer/organizer.hpp

#include <array>
#include <bitset>
#include <iostream>
#include <booluarray.hpp>


#include <cstddef>
#include <iostream>
#include <iomanip>
#include <fstream>
#include <vector>
#include "bernstein.hpp"
#include "multiloop.hpp"
#include "quadrature_multipoly.hpp"
#include "binomial.hpp"

#include "real.hpp"
#include "sparkstack.hpp"
#include "uvector.hpp"
#include "vector"
#include "xarray.hpp"
#include <chrono>
#include <cmath>
#include <memory>

#include "organizer/primitive.hpp"

namespace algoim::Organizer
{

bool keepQuadraturePoint(std::vector<tensor3>& originTensors, const uvector3& originPt)
{
    // TODO: using blobtree to filter tensors
    for (auto& t : originTensors) {
        if (evalPower(t, originPt) >= 0) { return false; }
    }
    return true;
}

// std::vector<std::shared_ptr<PrimitiveDesc>> primitives;

// BasicTask(std::vector<std::shared_ptr<PrimitiveDesc>> ps) {};


void basicTask(const std::shared_ptr<PrimitiveDesc>& p, int q = 20, real xmin = -1, real xmax = 1)
{
    real     volume    = 0;
    auto     integrand = [](const uvector<real, 3>& x) { return 1.0; };
    uvector3 range     = xmax - xmin;


    if (auto pt = std::dynamic_pointer_cast<SphereDesc>(p)) {
        tensor3 tensor(nullptr, 3);
        algoim_spark_alloc(real, tensor);
        makeSphere(*pt, tensor);
        detail::powerTransformation(range, xmin, tensor);

        tensor3 phi(nullptr, 3);
        algoim_spark_alloc(real, phi);
        detail::power2BernsteinTensor(tensor, phi);

        uvector<real, 3> testX(0., 0., 0.25);
        real             testEvalBernstein = bernstein::evalBernsteinPoly(phi, testX);
        // auto             vec1              = xarray2StdVector(phi);
        std::cout << "eval bernstein without interpolation:" << testEvalBernstein << std::endl;

        ImplicitPolyQuadrature<3> ipquad(phi);
        ipquad.integrate(AutoMixed, q, [&](const uvector<real, 3>& x, real w) {
            if (isInsideBernstein(phi, x)) volume += w * integrand(xmin + x * (xmax - xmin));
        });
    } else if (auto pt = std::dynamic_pointer_cast<MeshDesc>(p)) {
        const int faceCount = pt->indexInclusiveScan.size();
        assert(faceCount > 1);
        std::vector<tensor3> planeTensors(faceCount, tensor3(nullptr, 2));
        algoim_spark_alloc(real, planeTensors);

        tensor3 compositeTensor(nullptr, 1 + faceCount);
        algoim_spark_alloc(real, compositeTensor);

        makeMesh(*pt, compositeTensor, planeTensors);
        detail::powerTransformation(range, xmin, compositeTensor);

        auto planeStdVector1          = xarray2StdVector(planeTensors[0]);
        auto planeStdVector2          = xarray2StdVector(planeTensors[1]);
        auto compositeTensorStdVector = xarray2StdVector(compositeTensor);

        uvector<real, 3> testX(0., 0.75, 0.2);
        real             textEvalPower = evalPower(compositeTensor, testX);

        tensor3 phi(nullptr, 1 + faceCount);
        algoim_spark_alloc(real, phi);
        detail::power2BernsteinTensor(compositeTensor, phi);

        int                       quadraturePointCount = 0;
        ImplicitPolyQuadrature<3> ipquad(phi);

        real testEvalBernstein = bernstein::evalBernsteinPoly(phi, testX);
        ipquad.integrate(AutoMixed, q, [&](const uvector<real, 3>& x, real w) {
            quadraturePointCount++;
            auto realX = x * range + xmin;
            if (isInsidePowers(planeTensors, realX)) volume += w * integrand(realX);
        });
        std::cout << "textEvalPower: " << textEvalPower << std::endl;
        std::cout << "quadraturePointCount: " << quadraturePointCount << std::endl;
    }
    volume *= pow(xmax - xmin, 3);
    std::cout << "Volume xxx: " << volume << std::endl;
};

void basicTask(const std::vector<std::shared_ptr<PrimitiveDesc>>& primitives, int q = 20, real xmin = -1, real xmax = 1)
{
    std::vector<SparkStack<real>*> phiStacks;
    std::vector<tensor3>           phis;

    std::vector<SparkStack<real>*> originTensorStacks;
    std::vector<tensor3>           originTensors;
    real                           volume;
    auto                           integrand = [](const uvector<real, 3>& x) { return 1.0; };
    uvector3                       range     = xmax - xmin;
    uvector<real, 3>               testX(0., 0.75, 0.2);
    for (int i = 0; i < primitives.size(); i++) {
        if (auto pt = std::dynamic_pointer_cast<SphereDesc>(primitives[i])) {
            tensor3 originTensor(nullptr, 3), transformedTensor(nullptr, 3);
            originTensorStacks.emplace_back(algoim_spark_alloc_heap(real, originTensor)); // 记录，用以最后bool

            tensor3 phi(nullptr, 3);
            phiStacks.emplace_back(
                algoim_spark_alloc_heap(real, phi)); // 必须先于algoim_spark_alloc，使transformedTensor的内存以栈形式释放

            algoim_spark_alloc(real, transformedTensor);
            makeSphere(*pt, originTensor);
            originTensors.emplace_back(originTensor);
            detail::powerTransformation(range, xmin, originTensor, transformedTensor);


            detail::power2BernsteinTensor(transformedTensor, phi);
            phis.emplace_back(phi);
        } else if (auto pt = std::dynamic_pointer_cast<MeshDesc>(primitives[i])) {
            const int faceCount = pt->indexInclusiveScan.size();
            assert(faceCount > 1);
            std::vector<tensor3> planeTensors(faceCount, tensor3(nullptr, 2));
            algoimSparkAllocHeapVector(originTensorStacks, planeTensors);

            tensor3 phi(nullptr, 1 + faceCount);
            phiStacks.emplace_back(
                algoim_spark_alloc_heap(real, phi)); // 必须先于algoim_spark_alloc，使compositeTensor的内存以栈形式释放

            tensor3 compositeTensor(nullptr, 1 + faceCount);
            algoim_spark_alloc(real, compositeTensor);

            makeMesh(*pt, compositeTensor, planeTensors);
            detail::powerTransformation(range, xmin, compositeTensor);

            real testEvalPower = evalPower(compositeTensor, testX);

            originTensors.insert(originTensors.end(), planeTensors.begin(), planeTensors.end());

            detail::power2BernsteinTensor(compositeTensor, phi);
            real testEvalBernstein = bernstein::evalBernsteinPoly(phi, testX);
            phis.emplace_back(phi);
        }
    }
    real                      testEvalBernstein = bernstein::evalBernsteinPoly(phis[0], testX);
    ImplicitPolyQuadrature<3> ipquad(phis);

    ipquad.integrate(AutoMixed, q, [&](const uvector<real, 3>& x, real w) {
        auto realX = x * range + xmin;
        if (keepQuadraturePoint(originTensors, realX)) volume += w * integrand(realX);
    });
    volume *= pow(xmax - xmin, 3);
    std::cout << "Volume xxx: " << volume << std::endl;

    // free memory, thus deallocate memory of xarray
    for (auto& p : phiStacks) delete p;
    for (auto& p : originTensorStacks) delete p;
};

void quadratureTask(const Scene& scene) {}

void buildOctree(const Scene& scene, std::vector<Node>& nodes, const uvector3& min, const uvector3& max) {}

void build(const Scene& scene, std::vector<Node>& nodes, int nowNodeIdx, const uvector3& nowNodeMin, const uvector3& nowNodeMax)
{
    const std::vector<int>& polyIntersectIndices = nodes[nowNodeIdx].polyIntersectIndices;
    if (polyIntersectIndices.size() == 1) {
        // TODO 相交很少时
    }
    buildOctree(scene, nodes, nowNodeMin, nowNodeMax);
    nodes.resize(nodes.size() + 8);
    for (int i = 0; i < polyIntersectIndices.size(); ++i) {
        for (int faceAxis = 0; faceAxis < 3; ++faceAxis) { restrictToFace }
    }
}
}; // namespace algoim::Organizer