compute_area.h

/*
 * Copyright 2023 Adobe. All rights reserved.
 * This file is licensed to you under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License. You may obtain a copy
 * of the License at http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software distributed under
 * the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR REPRESENTATIONS
 * OF ANY KIND, either express or implied. See the License for the specific language
 * governing permissions and limitations under the License.
 */
 
#pragma once
 
#include <lagrange/SurfaceMesh.h>
 
#include <Eigen/Core>
 
namespace lagrange {

struct FacetAreaOptions
{
    std::string_view output_attribute_name = "@facet_area";

    bool use_signed_area = true;
};

template <typename Scalar, typename Index>
AttributeId compute_facet_area(SurfaceMesh<Scalar, Index>& mesh, FacetAreaOptions options = {});

template <typename Scalar, typename Index, int Dimension>
AttributeId compute_facet_area(
    SurfaceMesh<Scalar, Index>& mesh,
    const Eigen::Transform<Scalar, Dimension, Eigen::Affine>& transformation,
    FacetAreaOptions options = {});

struct FacetVectorAreaOptions
{
    std::string_view output_attribute_name = "@facet_vector_area";
};

template <typename Scalar, typename Index>
AttributeId compute_facet_vector_area(
    SurfaceMesh<Scalar, Index>& mesh,
    FacetVectorAreaOptions options = {});

template <typename Scalar, typename Index>
AttributeId compute_facet_vector_area(
    SurfaceMesh<Scalar, Index>& mesh,
    const Eigen::Transform<Scalar, 3, Eigen::Affine>& transformation,
    FacetVectorAreaOptions options = {});

struct MeshAreaOptions
{
    std::string_view input_attribute_name = "@facet_area";

    bool use_signed_area = true;
};

template <typename Scalar, typename Index>
Scalar compute_mesh_area(const SurfaceMesh<Scalar, Index>& mesh, MeshAreaOptions options = {});

template <typename Scalar, typename Index, int Dimension>
Scalar compute_mesh_area(
    const SurfaceMesh<Scalar, Index>& mesh,
    const Eigen::Transform<Scalar, Dimension, Eigen::Affine>& transformation,
    MeshAreaOptions options = {});

template <typename Scalar, typename Index>
Scalar compute_uv_area(const SurfaceMesh<Scalar, Index>& mesh, MeshAreaOptions options = {});

} // namespace lagrange