fpParametricSurface.hpp

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/***************************************************************************************************
!                                ____________________  ___   ________ __
!                               / ____/  _/_  __/ __ \/   | / ____/ //_/
!                              / /_   / /  / / / /_/ / /| |/ /   / ,<
!                             / __/ _/ /  / / / ____/ ___ / /___/ /| |
!                            /_/   /___/ /_/ /_/   /_/  |_\____/_/ |_|
!
!                                     A Curve Fitting Package
!
!   fpParametricSurface.hpp (class fpParametricSurface)
!> @brief Standalone C++ wrapper for fitpack_parametric_surface (no fortran-arrays dependency)
!
!   @author Federico Perini
!   @date   2026-08-27
!
!   References :
!     - C. De Boor, "On calculating with b-splines", J Approx Theory 6 (1972) 50-62
!     - M. G. Cox, "The numerical evaluation of b-splines", J Inst Maths Applics 10 (1972) 134-149
!     - P. Dierckx, "Curve and surface fitting with splines", Monographs on numerical analysis,
!                    Oxford university press, 1993.
!
! **************************************************************************************************/
 
#ifndef FPPARAMETRICSURFACE_HPP_INCLUDED
#define FPPARAMETRICSURFACE_HPP_INCLUDED
 
#include "fitpack_config.h"
 
#if HAVE_FXARRAY
#include "fxArrays.hpp"
#endif
 
#include "fitpack_parametric_surface_c.h"
#include "fpFitter.hpp"
#include <string>
#include <vector>
#include <cstdint>
#include <memory>
#include <stdexcept>
#include <variant>
#include <optional>
#include <array>
 
static_assert(sizeof(fitpack_parametric_surface_c) == sizeof(fitpack_fitter_c),
    "C descriptor layout mismatch: fitpack_parametric_surface_c vs fitpack_fitter_c");

class fpParametricSurface : public fpFitter {
public:
    // ===========================================================================================
    // Constructors and Destructor
    // ===========================================================================================

    fpParametricSurface() : fpFitter(NoAlloc{}) {
        fitpack_parametric_surface_c_allocate(as<fitpack_parametric_surface_c>(), nullptr);
    }

    ~fpParametricSurface() override {
        fitpack_parametric_surface_c_destroy(as<fitpack_parametric_surface_c>(), nullptr);
    }

    fpParametricSurface(const fpParametricSurface& other) : fpFitter(NoAlloc{}) {
        *as<fitpack_parametric_surface_c>() = fitpack_parametric_surface_c_null;
        fitpack_parametric_surface_c_copy(as<fitpack_parametric_surface_c>(), other.as<fitpack_parametric_surface_c>(), false, nullptr);
    }

    fpParametricSurface& operator=(const fpParametricSurface& other) {
        if (this != &other) {
            fitpack_parametric_surface_c_destroy(as<fitpack_parametric_surface_c>(), nullptr);
            fitpack_parametric_surface_c_copy(as<fitpack_parametric_surface_c>(), other.as<fitpack_parametric_surface_c>(), false, nullptr);
        }
        return *this;
    }

    fpParametricSurface(fpParametricSurface&& other) noexcept : fpFitter(NoAlloc{}) {
        *as<fitpack_parametric_surface_c>() = fitpack_parametric_surface_c_null;
        fitpack_parametric_surface_c_move_alloc(as<fitpack_parametric_surface_c>(), other.as<fitpack_parametric_surface_c>(), nullptr);
    }

    fpParametricSurface& operator=(fpParametricSurface&& other) noexcept {
        if (this != &other) {
            fitpack_parametric_surface_c_destroy(as<fitpack_parametric_surface_c>(), nullptr);
            fitpack_parametric_surface_c_move_alloc(as<fitpack_parametric_surface_c>(), other.as<fitpack_parametric_surface_c>(), nullptr);
        }
        return *this;
    }

    explicit fpParametricSurface(fitpack_parametric_surface_c& c_wrapper, bool move = false) : fpFitter(NoAlloc{}) {
        if (move) {
            fitpack_parametric_surface_c_move_alloc(as<fitpack_parametric_surface_c>(), &c_wrapper, nullptr);
        } else {
            *as<fitpack_parametric_surface_c>() = fitpack_parametric_surface_c_null;
            fitpack_parametric_surface_c_copy(as<fitpack_parametric_surface_c>(), &c_wrapper, false, nullptr);
        }
    }

    explicit fpParametricSurface(fitpack_parametric_surface_c& c_wrapper, ViewTag) : fpFitter(NoAlloc{}) {
        *as<fitpack_parametric_surface_c>() = c_wrapper;
        as<fitpack_parametric_surface_c>()->is_pointer = true;
    }
 
    // ===========================================================================================
    // Utility Methods
    // ===========================================================================================

    bool is_allocated() const override {
        return as<fitpack_parametric_surface_c>()->cptr != nullptr;
    }

    bool is_pointer() const override {
        return as<fitpack_parametric_surface_c>()->is_pointer;
    }

    const char* c_type_name() const override {
        return fitpack_parametric_surface_c_c_type_name(*as<fitpack_parametric_surface_c>());
    }

    const char* cpp_type_name() const override {
        return "fpParametricSurface";
    }

    fitpack_parametric_surface_c& c_handle() {
        return *as<fitpack_parametric_surface_c>();
    }

    const fitpack_parametric_surface_c& c_handle() const {
        return *as<fitpack_parametric_surface_c>();
    }

    static fpParametricSurface make_view() {
        return fpParametricSurface(NoAlloc{});
    }

    fpFitter& as_parent() {
        return static_cast<fpFitter&>(*this);
    }
    const fpFitter& as_parent() const {
        return static_cast<const fpFitter&>(*this);
    }
 
    // ===========================================================================================
    // Method Wrappers (standalone — no fxArray dependency)
    // ===========================================================================================

    virtual int32_t fit(int32_t n, double* smoothing = nullptr, bool* periodic = nullptr, bool* keep_knots = nullptr) {
        return fitpack_parametric_surface_c_fit(as<fitpack_parametric_surface_c>(), smoothing, n, periodic, keep_knots);
    }
 
 
    virtual int32_t interpolate(bool* reset_knots = nullptr) {
        return fitpack_parametric_surface_c_interpolate(as<fitpack_parametric_surface_c>(), reset_knots);
    }

    virtual int32_t least_squares(int32_t n, double* u_knots = nullptr, double* v_knots = nullptr, double* smoothing = nullptr, bool* reset_knots = nullptr) {
        return fitpack_parametric_surface_c_least_squares(as<fitpack_parametric_surface_c>(), n, u_knots, v_knots, smoothing, reset_knots);
    }
 

    virtual std::vector<double> eval(double u, double v, int32_t n_result, int32_t* ierr = nullptr) {
        std::vector<double> result(n_result);
        fitpack_parametric_surface_c_surf_eval_one(as<fitpack_parametric_surface_c>(), u, v, ierr, result.data(), n_result);
        return result;
    }
 

    virtual std::vector<double> eval(std::vector<double>& u, std::vector<double>& v, int32_t n_result, int32_t* ierr = nullptr) {
        int32_t n = static_cast<int32_t>(u.size());
        std::vector<double> result(n_result);
        fitpack_parametric_surface_c_surf_eval_grid(as<fitpack_parametric_surface_c>(), n, u.data(), v.data(), ierr, result.data(), n_result);
        return result;
    }
 
 
    int32_t comm_size() const override {
        return fitpack_parametric_surface_c_comm_size(as<fitpack_parametric_surface_c>());
    }

    void comm_pack(std::vector<double>& buffer) const override {
        int32_t n = static_cast<int32_t>(buffer.size());
        fitpack_parametric_surface_c_comm_pack(as<fitpack_parametric_surface_c>(), n, buffer.data());
    }
 

    void comm_expand(std::vector<double>& buffer) override {
        int32_t n = static_cast<int32_t>(buffer.size());
        fitpack_parametric_surface_c_comm_expand(as<fitpack_parametric_surface_c>(), n, buffer.data());
    }
 
 
    double mse() const override {
        return fitpack_parametric_surface_c_mse(as<fitpack_parametric_surface_c>());
    }
 
    int32_t core_comm_size() const override {
        return fitpack_parametric_surface_c_core_comm_size(as<fitpack_parametric_surface_c>());
    }

    void core_comm_pack(std::vector<double>& buffer) const override {
        int32_t n = static_cast<int32_t>(buffer.size());
        fitpack_parametric_surface_c_core_comm_pack(as<fitpack_parametric_surface_c>(), n, buffer.data());
    }
 

    void core_comm_expand(std::vector<double>& buffer) override {
        int32_t n = static_cast<int32_t>(buffer.size());
        fitpack_parametric_surface_c_core_comm_expand(as<fitpack_parametric_surface_c>(), n, buffer.data());
    }
 
 
    void destroy_base() override {
        fitpack_parametric_surface_c_destroy_base(as<fitpack_parametric_surface_c>());
    }
 
    // ===========================================================================================
    // Component Array Accessors
    // ===========================================================================================

    std::vector<double> u_vector() const {
        double* raw = nullptr;
        int64_t extents[1] = {0};
        fitpack_parametric_surface_c_getcomp_u(as<fitpack_parametric_surface_c>(), &raw, extents);
        const int64_t total = extents[0];
        if (raw == nullptr || total <= 0) return {};
        const double* first = reinterpret_cast<const double*>(raw);
        return std::vector<double>(first, first + total);
    }
 
#if HAVE_FXARRAY
    fxArray<double> u() const {
        double* raw = nullptr;
        int64_t extents[1] = {0};
        fitpack_parametric_surface_c_getcomp_u(as<fitpack_parametric_surface_c>(), &raw, extents);
        FX_SIZE bounds[2];   // (lower, upper) per dimension, Fortran lbound 1
        for (int k = 0; k < 1; ++k) {
            bounds[2 * k] = 1;
            bounds[2 * k + 1] = static_cast<FX_SIZE>(extents[k]);
        }
        array_c descr = array_c_null;
        array_c_from_ptr(&descr, "u", static_cast<void*>(raw),
                         getCFITypeFlag<double>(),
                         static_cast<FX_SIZE>(sizeof(double)),
                         static_cast<FX_RANK>(1), bounds);
        return fxArray<double>(descr);
    }
#endif // HAVE_FXARRAY

    std::vector<double> v_vector() const {
        double* raw = nullptr;
        int64_t extents[1] = {0};
        fitpack_parametric_surface_c_getcomp_v(as<fitpack_parametric_surface_c>(), &raw, extents);
        const int64_t total = extents[0];
        if (raw == nullptr || total <= 0) return {};
        const double* first = reinterpret_cast<const double*>(raw);
        return std::vector<double>(first, first + total);
    }
 
#if HAVE_FXARRAY
    fxArray<double> v() const {
        double* raw = nullptr;
        int64_t extents[1] = {0};
        fitpack_parametric_surface_c_getcomp_v(as<fitpack_parametric_surface_c>(), &raw, extents);
        FX_SIZE bounds[2];   // (lower, upper) per dimension, Fortran lbound 1
        for (int k = 0; k < 1; ++k) {
            bounds[2 * k] = 1;
            bounds[2 * k + 1] = static_cast<FX_SIZE>(extents[k]);
        }
        array_c descr = array_c_null;
        array_c_from_ptr(&descr, "v", static_cast<void*>(raw),
                         getCFITypeFlag<double>(),
                         static_cast<FX_SIZE>(sizeof(double)),
                         static_cast<FX_RANK>(1), bounds);
        return fxArray<double>(descr);
    }
#endif // HAVE_FXARRAY

    std::vector<double> z_vector() const {
        double* raw = nullptr;
        int64_t extents[3] = {0, 0, 0};
        fitpack_parametric_surface_c_getcomp_z(as<fitpack_parametric_surface_c>(), &raw, extents);
        const int64_t total = extents[0] * extents[1] * extents[2];
        if (raw == nullptr || total <= 0) return {};
        const double* first = reinterpret_cast<const double*>(raw);
        return std::vector<double>(first, first + total);
    }

    std::array<int64_t, 3> z_shape() const {
        double* raw = nullptr;
        int64_t extents[3] = {0, 0, 0};
        fitpack_parametric_surface_c_getcomp_z(as<fitpack_parametric_surface_c>(), &raw, extents);
        return { extents[0], extents[1], extents[2] };
    }
 
#if HAVE_FXARRAY
    fxArray<double> z() const {
        double* raw = nullptr;
        int64_t extents[3] = {0, 0, 0};
        fitpack_parametric_surface_c_getcomp_z(as<fitpack_parametric_surface_c>(), &raw, extents);
        FX_SIZE bounds[6];   // (lower, upper) per dimension, Fortran lbound 1
        for (int k = 0; k < 3; ++k) {
            bounds[2 * k] = 1;
            bounds[2 * k + 1] = static_cast<FX_SIZE>(extents[k]);
        }
        array_c descr = array_c_null;
        array_c_from_ptr(&descr, "z", static_cast<void*>(raw),
                         getCFITypeFlag<double>(),
                         static_cast<FX_SIZE>(sizeof(double)),
                         static_cast<FX_RANK>(3), bounds);
        return fxArray<double>(descr);
    }
#endif // HAVE_FXARRAY

    std::vector<double> t_vector() const {
        double* raw = nullptr;
        int64_t extents[2] = {0, 0};
        fitpack_parametric_surface_c_getcomp_t(as<fitpack_parametric_surface_c>(), &raw, extents);
        const int64_t total = extents[0] * extents[1];
        if (raw == nullptr || total <= 0) return {};
        const double* first = reinterpret_cast<const double*>(raw);
        return std::vector<double>(first, first + total);
    }

    std::array<int64_t, 2> t_shape() const {
        double* raw = nullptr;
        int64_t extents[2] = {0, 0};
        fitpack_parametric_surface_c_getcomp_t(as<fitpack_parametric_surface_c>(), &raw, extents);
        return { extents[0], extents[1] };
    }
 
#if HAVE_FXARRAY
    fxArray<double> t() const {
        double* raw = nullptr;
        int64_t extents[2] = {0, 0};
        fitpack_parametric_surface_c_getcomp_t(as<fitpack_parametric_surface_c>(), &raw, extents);
        FX_SIZE bounds[4];   // (lower, upper) per dimension, Fortran lbound 1
        for (int k = 0; k < 2; ++k) {
            bounds[2 * k] = 1;
            bounds[2 * k + 1] = static_cast<FX_SIZE>(extents[k]);
        }
        array_c descr = array_c_null;
        array_c_from_ptr(&descr, "t", static_cast<void*>(raw),
                         getCFITypeFlag<double>(),
                         static_cast<FX_SIZE>(sizeof(double)),
                         static_cast<FX_RANK>(2), bounds);
        return fxArray<double>(descr);
    }
#endif // HAVE_FXARRAY
 
    // ===========================================================================================
    // Scalar Property Accessors
    // ===========================================================================================
 
    int32_t& idim() {
        return *fitpack_parametric_surface_c_ref_idim(as<fitpack_parametric_surface_c>());
    }
    const int32_t& idim() const {
        return *fitpack_parametric_surface_c_ref_idim(as<fitpack_parametric_surface_c>());
    }
 
    int32_t& nmax() {
        return *fitpack_parametric_surface_c_ref_nmax(as<fitpack_parametric_surface_c>());
    }
    const int32_t& nmax() const {
        return *fitpack_parametric_surface_c_ref_nmax(as<fitpack_parametric_surface_c>());
    }
 
protected:
    explicit fpParametricSurface(NoAlloc tag) : fpFitter(tag) {}
 
};
 
#endif /* FPPARAMETRICSURFACE_HPP_INCLUDED */