#ifndef Magnum_MeshTools_Subdivide_h #define Magnum_MeshTools_Subdivide_h /* This file is part of Magnum. Copyright © 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022 Vladimír Vondruš Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */ /** @file * @brief Function @ref Magnum::MeshTools::subdivide(), @ref Magnum::MeshTools::subdivideInPlace() */ #include #include #include #include #include "Magnum/Magnum.h" #ifdef MAGNUM_BUILD_DEPRECATED #include #endif namespace Magnum { namespace MeshTools { #ifndef DOXYGEN_GENERATING_OUTPUT template void subdivideInPlace(const Containers::StridedArrayView1D& indices, const Containers::StridedArrayView1D& vertices, Interpolator interpolator); #endif /** @brief Subdivide a mesh @tparam Vertex Vertex data type @tparam Interpolator See the @p interpolator function parameter @param[in,out] indices Index array to operate on @param[in,out] vertices Vertex array to operate on @param interpolator Functor or function pointer which interpolates two adjacent vertices: @cpp Vertex interpolator(Vertex a, Vertex b) @ce @m_since{2020,06} Goes through all triangle faces and subdivides them into four new, enlarging the @p indices and @p vertices arrays as appropriate. Removing duplicate vertices in the mesh is up to the user. @see @ref subdivideInPlace(), @ref removeDuplicatesInPlace() */ template void subdivide(Containers::Array& indices, Containers::Array& vertices, Interpolator interpolator) { CORRADE_ASSERT(!(indices.size()%3), "MeshTools::subdivide(): index count is not divisible by 3", ); arrayResize(vertices, NoInit, vertices.size() + indices.size()); arrayResize(indices, NoInit, indices.size()*4); subdivideInPlace(Containers::stridedArrayView(indices), Containers::stridedArrayView(vertices), interpolator); } #ifdef MAGNUM_BUILD_DEPRECATED /** @brief Subdivide a mesh @m_deprecated_since{2020,06} Use @ref subdivide(Containers::Array&, Containers::Array&vertices, Interpolator) or @ref subdivideInPlace() instead. */ template CORRADE_DEPRECATED("use subdivide(Containers::Array&, Containers::Array&vertices, Interpolator) or subdivideInPlace() instead") void subdivide(std::vector& indices, std::vector& vertices, Interpolator interpolator) { CORRADE_ASSERT(!(indices.size()%3), "MeshTools::subdivide(): index count is not divisible by 3", ); vertices.resize(vertices.size() + indices.size()); indices.resize(indices.size()*4); subdivideInPlace(Containers::stridedArrayView(indices), Containers::stridedArrayView(vertices), interpolator); } #endif /** @brief Subdivide a mesh in-place @tparam Vertex Vertex data type @tparam Interpolator See the @p interpolator function parameter @param[in,out] indices Index array to operate on @param[in,out] vertices Vertex array to operate on @param interpolator Functor or function pointer which interpolates two adjacent vertices: @cpp Vertex interpolator(Vertex a, Vertex b) @ce @m_since{2020,06} Assuming the original mesh has @f$ i @f$ indices and @f$ v @f$ vertices, expects the @p indices array to have a size of @f$ 4i @f$ (as every triangle face would be divided into four new), with the original indices being in the first quarter, and the @p vertices array to have a size of @f$ v + i @f$ (as every original triangle face will get three new vertices). Removing duplicate vertices in the mesh is up to the user. Generally, for @f$ k @f$ subsequent subdivisions, the resulting index and vertex array sizes @f$ i' @f$ and @f$ v' @f$ will be as following. To subdivide the mesh multiple times in-place, pass correctly sized prefix of the arrays to each step. @f[ \begin{array}{rcl} i' & = & 4^k i \\ v' & = & v + \frac{1}{3}(i' - i) \end{array} @f] @see @ref subdivide(), @ref removeDuplicatesInPlace() */ template void subdivideInPlace(const Containers::StridedArrayView1D& indices, const Containers::StridedArrayView1D& vertices, Interpolator interpolator) { CORRADE_ASSERT(!(indices.size()%12), "MeshTools::subdivideInPlace(): can't divide" << indices.size() << "indices to four parts with each having triangle faces", ); /* Somehow ~IndexType{} doesn't work for < 4byte types, as the result is int(-1) instead of the type I want */ CORRADE_ASSERT(vertices.size() <= IndexType(-1), "MeshTools::subdivideInPlace(): a" << sizeof(IndexType) << Debug::nospace << "-byte index type is too small for" << vertices.size() << "vertices", ); /* Subdivide each face to four new */ const std::size_t indexCount = indices.size()/4; std::size_t indexOffset = indexCount; std::size_t vertexOffset = vertices.size() - indexCount; for(std::size_t i = 0; i != indexCount; i += 3) { /* Interpolate each side */ IndexType newVertices[3]; for(int j = 0; j != 3; ++j) { newVertices[j] = vertexOffset; vertices[vertexOffset++] = interpolator(vertices[indices[i+j]], vertices[indices[i+(j+1)%3]]); } /* Add three new faces (0, 1, 3) and update original (2) orig 0 / \ / 0 \ / \ new 0 ----- new 2 / \ / \ / 1 \ 2 / 3 \ / \ / \ orig 1 ----- new 1 ---- orig 2 */ indices[indexOffset++] = indices[i]; indices[indexOffset++] = newVertices[0]; indices[indexOffset++] = newVertices[2]; indices[indexOffset++] = newVertices[0]; indices[indexOffset++] = indices[i+1]; indices[indexOffset++] = newVertices[1]; indices[indexOffset++] = newVertices[2]; indices[indexOffset++] = newVertices[1]; indices[indexOffset++] = indices[i+2]; for(std::size_t j = 0; j != 3; ++j) indices[i+j] = newVertices[j]; } } /** * @overload * @m_since{2020,06} */ template void subdivideInPlace(const Containers::ArrayView& indices, const Containers::StridedArrayView1D& vertices, Interpolator interpolator) { subdivideInPlace(Containers::stridedArrayView(indices), vertices, interpolator); } }} #endif