#pragma once #include "../../hpr/math.hpp" #include "../../hpr/csg.hpp" namespace hpr::csg { void prints(scalar point) { std::cout << point << std::endl; } class Lattice : public csg::Shape { public: enum class System { Triclinic, Monoclinic, Orthorhombic, Tetragonal, Rhombohedral, Hexagonal, Cubic, Unknown }; enum class Type { Primitive, BaseCentered, BodyCentered, FaceCentered, Unknown }; protected: vec3 p_lengths; vec3 p_angles; Type p_type; scalar p_radius; darray p_controlPoints; public: Lattice() = delete; Lattice(const vec3& lengths, const vec3& angles, scalar radius, Type type) : csg::Shape {}, p_lengths {lengths}, p_angles {angles}, p_radius {radius}, p_type {type} { generateControlPoints(); darray spheres; for (const auto& point : controlPoints()) { spheres.push(csg::sphere(point, p_radius)); print(point); } p_shape = csg::Compound(spheres).tshape();//csg::fuse({spheres.front()}, spheres.slice(spheres.begin() + 1, spheres.end())).tshape(); } darray controlPoints() const { return p_controlPoints; } vec3 lengths() const { return p_lengths; } vec3 angles() const { return p_angles; } void generateControlPoints() { if (p_type == Type::Unknown) throw std::runtime_error("Unknown type of lattice"); p_controlPoints.resize(14); // vec3 ox {1, 0, 0}; vec3 oy {0, 1, 0}; vec3 oz {0, 0, 1}; vec3 ox1 = hpr::rotate(ox, oz, rad(-p_angles[2])); p_controlPoints.push(vec3{0, 0, 0}); p_controlPoints.push(vec3{0, p_lengths[0], 0}); vec3 t1 = hpr::translate(p_controlPoints.back(), ox1 * p_lengths[1]); p_controlPoints.push(t1); p_controlPoints.push(hpr::translate(p_controlPoints.front(), ox1 * p_lengths[1])); print(t1); print(ox1); scalar c1 = cos(rad(p_angles[2])), c2 = cos(rad(p_angles[1])), c3 = cos(rad(p_angles[0])); scalar D1 = sqrt(det(mat3( 1, cos(rad(p_angles[2])), cos(rad(p_angles[1])), cos(rad(p_angles[2])), 1, cos(rad(p_angles[0])), cos(rad(p_angles[1])), cos(rad(p_angles[0])), 1))); scalar volume = 1. / 6. * p_lengths[0] * p_lengths[1] * p_lengths[2] * D1; scalar s1 = sqrt(pow(p_lengths[0], 2) + pow(p_lengths[1], 2) - 2 * p_lengths[0] * p_lengths[1] * cos(rad(p_angles[2]))); scalar s2 = sqrt(pow(p_lengths[1], 2) + pow(p_lengths[2], 2) - 2 * p_lengths[1] * p_lengths[2] * cos(rad(p_angles[1]))); scalar s3 = sqrt(pow(p_lengths[0], 2) + pow(p_lengths[2], 2) - 2 * p_lengths[0] * p_lengths[2] * cos(rad(p_angles[0]))); scalar area = 1. / 2. * p_lengths[0] * p_lengths[1] * sqrt(det(mat2{1, cos(rad(p_angles[2])), cos(rad(p_angles[2])), 1})); scalar h1 = 3 * volume / area; scalar a1 = asin(h1 / p_lengths[2]); scalar sh1 = sqrt(pow(p_lengths[2], 2) - pow(h1, 2)); scalar sh2 = p_lengths[2] * cos(rad(p_angles[0])); scalar a2 = acos(sh2 / sh1); vec3 ox2 = hpr::rotate(ox, oy, a1); if (!isnan(a2)) ox2 = hpr::rotate(ox2, oz, a2); print(ox2); for (auto n = 0; n < 4; ++n) p_controlPoints.push(hpr::translate(p_controlPoints[n], ox2 * p_lengths[2])); /*p_controlPoints.push(vec3{p_lengths[0], p_lengths[1], 0}); p_controlPoints.push(vec3{p_lengths[0], 0, 0}); p_controlPoints.push(vec3{0, 0, p_lengths[2]}); p_controlPoints.push(vec3{0, p_lengths[1], p_lengths[2]}); p_controlPoints.push(vec3{p_lengths[0], p_lengths[1], p_lengths[2]}); p_controlPoints.push(vec3{p_lengths[0], 0, p_lengths[2]}); // central points on base faces if (p_type == Type::BaseCentered || p_type == Type::FaceCentered) { for (int n = 0; n < 2; ++n) { vec3 center; for (int k = 0; k < 4; ++k) center += p_controlPoints[k + 4 * n]; p_controlPoints.push(center * 0.25); } } // central point (center of mass) if (p_type == Type::BodyCentered) { vec3 center; for (const auto& point : p_controlPoints) center += point; p_controlPoints.push(center / p_controlPoints.size()); } // central points on side faces if (p_type == Type::FaceCentered) { for (int n = 0; n < 3; ++n) { vec3 center; for (int k = 0; k < 2; ++k) { center += p_controlPoints[n + k]; center += p_controlPoints[n + k + 4]; } p_controlPoints.push(center * 0.25); } vec3 center; for (int n = 0; n < 2; ++n) { center += p_controlPoints[n * 3]; center += p_controlPoints[4 + n * 3]; } p_controlPoints.push(center * 0.25); } mat4 trans = mat4::identity(); vec3 ox {1, 0, 0}; vec3 oy {0, 1, 0}; vec3 oz {0, 0, 1}; int n = 0; for (auto& point : p_controlPoints) { if (n == 0 || n == 3) { ++n; continue; } trans.row(3, vec4(point, 0)); trans = hpr::rotate(trans, oz, -radians(90 - p_angles[2])); if (n >= 4 && n <= 7) { trans = hpr::rotate(trans, ox, -radians(90 - p_angles[1])); trans = hpr::rotate(trans, oy, -radians(90 - p_angles[0])); } point = vec3(trans.row(3)[0], trans.row(3)[1], trans.row(3)[2]); ++n; }*/ } }; }