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main.cpp
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main.cpp
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#include <array>
#include <iostream>
#include "bezier_curve.hpp"
#include "b_spline_curve.hpp"
#include "catmull_rom_spline.hpp"
#include "cubic_hermite_spline.hpp"
#include "curve_conversion.hpp"
#include "hermite_splines.hpp"
#include "polynomials.hpp"
#include "utils.hpp"
int main() {
constexpr size_t degree = 3;
std::array<Point<2>, degree+1> weights = {
Point<2>{-1.0, 0.0},
Point<2>{-0.5, 0.5},
Point<2>{ 0.5, -0.5},
Point<2>{ 1.0, 0.0},
};
BezierCurve<degree, 100, 2> b (weights);
b.print();
std::cout << '\n';
return 0;
}
// int main() {
// std::array<Point<2>, 4> points = {
// Point<2>{0,0},
// Point<2>{1,1},
// Point<2>{-1,0},
// Point<2>{1,0}
// };
//
// CubicHermiteSpline<10, 2> hs (points);
// hs.print();
// return 0;
// }
// int main() {
// constexpr int n_points = 5;
// constexpr int dimensions = 2;
// std::array<Point<dimensions>, 4> weights = {
// Point<dimensions>{110,150},//0},
// Point<dimensions>{25,190}, //1},
// Point<dimensions>{210,250}, //2},
// Point<dimensions>{210, 30} //3}
// };
// print(weights);
//
// BezierCurve<3, n_points, dimensions> b (weights);
// b.print();
// std::cout << '\n';
//
// std::array<Point<dimensions>, 4> hermite_points = convertBezierPointsToHermitePoints(weights);
// print(hermite_points);
// CubicHermiteSpline<n_points, dimensions> hs (hermite_points);
// hs.print();
// std::cout << '\n';
//
// std::array<Point<dimensions>, 4> weights_returned = convertHermitePointsToBezierPoints(hermite_points);
// print(weights_returned);
// BezierCurve<3, n_points, dimensions> b_returned (weights_returned);
// b_returned.print();
// std::cout << '\n';
//
// return 0;
// }
// int main() {
// constexpr int n_points = 10;
// constexpr int dimensions = 2;
// constexpr int N = 7;
//
// std::array<Point<dimensions>, N> p = {
// // Point<dimensions>{-4., 1.},
// Point<dimensions>{-4., 1.},
// Point<dimensions>{-4., 1.},
// Point<dimensions>{-2., -2.},
// Point<dimensions>{0, 0},
// Point<dimensions>{2, -3},
// Point<dimensions>{3, 1},
// Point<dimensions>{3, 1},
// // Point<dimensions>{3, 1},
// };
//
// const double tao = 1;
// CatmullRomSpline<N, n_points, dimensions> cms(p, tao);
// cms.print();
//
// return 0;
// }
//
// int main () {
// constexpr size_t degree = 3;
// constexpr size_t dimensions = 2;
// constexpr size_t n_points = 10;
// constexpr std::array<Point<dimensions>, degree+1> p = {
// Point<dimensions>{0., 0.},
// Point<dimensions>{4., 1.},
// Point<dimensions>{0., 1.},
// Point<dimensions>{0., 1.},
// // Point<dimensions>{0., 1.},
// // Point<dimensions>{0., 1.},
// };
//
// const auto chs = CubicHermiteSpline<n_points, dimensions>(p);
// std::cout << "Cubic Hermite Spline" << '\n';
// chs.print();
// std::cout << '\n';
//
// constexpr auto hs = HermiteSplines<degree, n_points, dimensions>(p);
// std::cout << "Hermite Spline" << '\n';
// hs.print();
// std::cout << '\n';
// return 0;
// }
//
// int main () {
// std::array<std::array<double, 4>, 1> m1 = {
// {1,2,3,4}
// };
//
// std::array<std::array<double, 2>, 4> m2 = {
// std::array<double, 2>{1,2},
// std::array<double, 2>{1,2},
// std::array<double, 2>{1,2},
// std::array<double, 2>{1,2}
// };
//
// debug_print(multiply_two_matrices(m1, m2));
// }
// int main() {
// constexpr size_t n_control_points = 4;
// constexpr size_t degree = 3;
// constexpr size_t dimensions = 2;
// constexpr size_t n_points = 100;
//
// std::array<std::array<double, dimensions>, n_control_points> control_points = {
// Point<dimensions>{-1.0, 0.0},
// Point<dimensions>{-0.5, 0.5},
// Point<dimensions>{ 0.5, -0.5},
// Point<dimensions>{ 1.0, 0.0},
// };
//
// // B-splines with clamped knot vectors pass through
// // the two end control points.
// // A clamped knot vector must have `degree + 1` equal knots
// // at both its beginning and end.
// // This is done to ensure that the bspline collapses into a bezier curve
// // and a comparison and sanity check for the code can be run
// std::array<int, n_control_points+degree+1> knots = {0,0,0,0,3,3,3,3};
// std::array<int, n_control_points> weights;
// std::fill(std::begin(weights), std::end(weights), 1);
// BSplineCurve<degree, n_control_points, n_points, dimensions> bspline(control_points, knots, weights);
// bspline.print();
//
// // assert (degree + 1) == n_control_points;
// BezierCurve<degree, n_points, dimensions> bezier (control_points);
// bezier.print();
//
// std::cout << '\n';
// return 0;
// }
// constexpr size_t n_control_points = 4;
// constexpr size_t degree = 3;
// constexpr size_t dimensions = 2;
// constexpr size_t n_points = 10;
//
// // To check if compile time evaluation is performed
// constexpr BSplineCurve<degree, n_control_points, n_points, dimensions> f() {
// if (std::is_constant_evaluated()) {
// constexpr std::array<std::array<double, dimensions>, n_control_points> control_points = {
// Point<dimensions>{-1.0, 0.0},
// Point<dimensions>{-0.5, 0.5},
// Point<dimensions>{ 0.5, -0.5},
// Point<dimensions>{ 1.0, 0.0},
// };
//
// constexpr std::array<int, n_control_points+degree+1> knots = {0,0,0,0,3,3,3,3};
// constexpr std::array<int, n_control_points> weights = {1,1,1,1};
// constexpr BSplineCurve<degree, n_control_points, n_points, dimensions> bspline(control_points, knots, weights);
// return bspline;
// } else {
// std::array<std::array<double, dimensions>, n_control_points> control_points = {
// Point<dimensions>{-2.0, 0.0},
// Point<dimensions>{-1.0, 1.0},
// Point<dimensions>{ 1.0, -1.0},
// Point<dimensions>{ 2.0, 0.0},
// };
// std::array<int, n_control_points+degree+1> knots = {0,0,0,0,3,3,3,3};
// std::array<int, n_control_points> weights = {1,1,1,1};
// BSplineCurve<degree, n_control_points, n_points, dimensions> bspline(control_points, knots, weights);
// return bspline;
// }
//
// }
//
// int main() {
// constexpr auto bspline_constexpr = f();
// bspline_constexpr.print();
// std::cout << '\n';
// auto bspline = f();
// bspline.print();
// return 0;
// }
// constexpr size_t degree = 3;
// constexpr size_t dimensions = 2;
// constexpr size_t n_points = 10;
//
// // To check if compile time evaluation is performed
// constexpr BezierCurve<degree, n_points, dimensions> f() {
// if (std::is_constant_evaluated()) {
// constexpr std::array<std::array<double, dimensions>, degree+1> weights = {
// Point<dimensions>{-1.0, 0.0},
// Point<dimensions>{-0.5, 0.5},
// Point<dimensions>{ 0.5, -0.5},
// Point<dimensions>{ 1.0, 0.0},
// };
//
// constexpr BezierCurve<degree, n_points, dimensions> bezier(weights);
// return bezier;
// } else {
// std::array<std::array<double, dimensions>, degree+1> weights = {
// Point<dimensions>{-2.0, 0.0},
// Point<dimensions>{-1.0, 1.0},
// Point<dimensions>{ 1.0, -1.0},
// Point<dimensions>{ 2.0, 0.0},
// };
// BezierCurve<degree, n_points, dimensions> bezier(weights);
// return bezier;
// }
//
// }
//
// int main() {
// constexpr auto bezier_constexpr = f();
// bezier_constexpr.print();
// std::cout << '\n';
// auto bezier = f();
// bezier.print();
// return 0;
// }
// constexpr size_t degree = 3;
// constexpr size_t dimensions = 2;
// constexpr size_t n_points = 10;
//
// // To check if compile time evaluation is performed
// constexpr HermiteSplines<degree, n_points, dimensions> f() {
// if (std::is_constant_evaluated()) {
// constexpr std::array<Point<dimensions>, degree+1> p = {
// Point<dimensions>{0., 0.},
// Point<dimensions>{4., 1.},
// Point<dimensions>{0., 1.},
// Point<dimensions>{0., 1.},
// };
//
// constexpr auto hs = HermiteSplines<degree, n_points, dimensions>(p);
// return hs;
// } else {
// constexpr std::array<Point<dimensions>, degree+1> p = {
// Point<dimensions>{0., 0.},
// Point<dimensions>{1., 1.},
// Point<dimensions>{0., 1.},
// Point<dimensions>{0., 1.},
// };
//
// constexpr auto hs = HermiteSplines<degree, n_points, dimensions>(p);
// return hs;
// }
//
// }
//
// int main() {
// constexpr auto hs_constexpr = f();
// hs_constexpr.print();
// std::cout << '\n';
// const auto hs = f();
// hs.print();
// return 0;
// }
// constexpr int n_points = 10;
// constexpr int dimensions = 2;
// constexpr int N = 7;
// // To check if compile time evaluation is performed
// constexpr CatmullRomSpline<N, n_points, dimensions> f() {
// if (std::is_constant_evaluated()) {
// constexpr std::array<Point<dimensions>, N> p = {
// Point<dimensions>{-4., 1.},
// Point<dimensions>{-4., 1.},
// Point<dimensions>{-2., -2.},
// Point<dimensions>{0, 0},
// Point<dimensions>{2, -3},
// Point<dimensions>{3, 1},
// Point<dimensions>{3, 1},
// };
//
// constexpr double tao = 1;
// constexpr auto cms = CatmullRomSpline<N, n_points, dimensions>(p, tao);
// return cms;
// } else {
// std::array<Point<dimensions>, N> p = {
// Point<dimensions>{-5., 1.},
// Point<dimensions>{-5., 1.},
// Point<dimensions>{-2., -2.},
// Point<dimensions>{0, 0},
// Point<dimensions>{2, -3},
// Point<dimensions>{4, 1},
// Point<dimensions>{4, 1},
// };
//
// const double tao = 1;
// auto cms = CatmullRomSpline<N, n_points, dimensions>(p, tao);
// return cms;
// }
// }
//
// int main() {
// constexpr auto cms_constexpr = f();
// cms_constexpr.print();
// std::cout << '\n';
// auto cms = f();
// cms.print();
// return 0;
// }