dust3d/src/util.cpp

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#include <cmath>
#include <QtMath>
#include <unordered_set>
#include <unordered_map>
#include "util.h"
#include "version.h"
QString valueOfKeyInMapOrEmpty(const std::map<QString, QString> &map, const QString &key)
{
auto it = map.find(key);
if (it == map.end())
return QString();
return it->second;
}
bool isTrueValueString(const QString &str)
{
return "true" == str || "True" == str || "1" == str;
}
bool isFloatEqual(float a, float b)
{
return fabs(a - b) <= 0.000001;
}
void qNormalizeAngle(int &angle)
{
while (angle < 0)
angle += 360 * 16;
while (angle > 360 * 16)
angle -= 360 * 16;
}
// https://en.wikibooks.org/wiki/Cg_Programming/Unity/Hermite_Curves
QVector3D pointInHermiteCurve(float t, QVector3D p0, QVector3D m0, QVector3D p1, QVector3D m1)
{
return (2.0f * t * t * t - 3.0f * t * t + 1.0f) * p0
+ (t * t * t - 2.0f * t * t + t) * m0
+ (-2.0f * t * t * t + 3.0f * t * t) * p1
+ (t * t * t - t * t) * m1;
}
float angleInRangle360BetweenTwoVectors(QVector3D a, QVector3D b, QVector3D planeNormal)
{
float degrees = acos(QVector3D::dotProduct(a, b)) * 180.0 / M_PI;
QVector3D direct = QVector3D::crossProduct(a, b);
if (QVector3D::dotProduct(direct, planeNormal) < 0)
return 360 - degrees;
return degrees;
}
QVector3D projectLineOnPlane(QVector3D line, QVector3D planeNormal)
{
const auto verticalOffset = QVector3D::dotProduct(line, planeNormal) * planeNormal;
return line - verticalOffset;
}
QString unifiedWindowTitle(const QString &text)
{
return text + QObject::tr(" - ") + APP_NAME;
}
// Sam Hocevar's answer
// https://gamedev.stackexchange.com/questions/98246/quaternion-slerp-and-lerp-implementation-with-overshoot
QQuaternion quaternionOvershootSlerp(const QQuaternion &q0, const QQuaternion &q1, float t)
{
// If t is too large, divide it by two recursively
if (t > 1.0) {
auto tmp = quaternionOvershootSlerp(q0, q1, t / 2);
return tmp * q0.inverted() * tmp;
}
// Its easier to handle negative t this way
if (t < 0.0)
return quaternionOvershootSlerp(q1, q0, 1.0 - t);
return QQuaternion::slerp(q0, q1, t);
}
float radianBetweenVectors(const QVector3D &first, const QVector3D &second)
{
return std::acos(QVector3D::dotProduct(first.normalized(), second.normalized()));
};
float degreesBetweenVectors(const QVector3D &first, const QVector3D &second)
{
return radianBetweenVectors(first, second) * 180.0 / M_PI;
}
float areaOfTriangle(const QVector3D &a, const QVector3D &b, const QVector3D &c)
{
auto ab = b - a;
auto ac = c - a;
return 0.5 * QVector3D::crossProduct(ab, ac).length();
}
QQuaternion eulerAnglesToQuaternion(double pitch, double yaw, double roll)
{
return QQuaternion::fromEulerAngles(pitch, yaw, roll);
}
void quaternionToEulerAngles(const QQuaternion &q, double *pitch, double *yaw, double *roll)
{
auto eulerAngles = q.toEulerAngles();
*pitch = eulerAngles.x();
*yaw = eulerAngles.y();
*roll = eulerAngles.z();
}
QVector3D polygonNormal(const std::vector<QVector3D> &vertices, const std::vector<size_t> &polygon)
{
QVector3D normal;
for (size_t i = 0; i < polygon.size(); ++i) {
auto j = (i + 1) % polygon.size();
auto k = (i + 2) % polygon.size();
const auto &enter = vertices[polygon[i]];
const auto &cone = vertices[polygon[j]];
const auto &leave = vertices[polygon[k]];
normal += QVector3D::normal(enter, cone, leave);
}
return normal.normalized();
}
bool pointInTriangle(const QVector3D &a, const QVector3D &b, const QVector3D &c, const QVector3D &p)
{
auto u = b - a;
auto v = c - a;
auto w = p - a;
auto vXw = QVector3D::crossProduct(v, w);
auto vXu = QVector3D::crossProduct(v, u);
if (QVector3D::dotProduct(vXw, vXu) < 0.0) {
return false;
}
auto uXw = QVector3D::crossProduct(u, w);
auto uXv = QVector3D::crossProduct(u, v);
if (QVector3D::dotProduct(uXw, uXv) < 0.0) {
return false;
}
auto denom = uXv.length();
auto r = vXw.length() / denom;
auto t = uXw.length() / denom;
return r + t <= 1.0;
}
void angleSmooth(const std::vector<QVector3D> &vertices,
const std::vector<std::vector<size_t>> &triangles,
const std::vector<QVector3D> &triangleNormals,
float thresholdAngleDegrees,
std::vector<QVector3D> &triangleVertexNormals)
{
std::vector<std::vector<std::pair<size_t, size_t>>> triangleVertexNormalsMapByIndices(vertices.size());
std::vector<QVector3D> angleAreaWeightedNormals;
for (size_t triangleIndex = 0; triangleIndex < triangles.size(); ++triangleIndex) {
const auto &sourceTriangle = triangles[triangleIndex];
if (sourceTriangle.size() != 3) {
qDebug() << "Encounter non triangle";
continue;
}
const auto &v1 = vertices[sourceTriangle[0]];
const auto &v2 = vertices[sourceTriangle[1]];
const auto &v3 = vertices[sourceTriangle[2]];
float area = areaOfTriangle(v1, v2, v3);
float angles[] = {degreesBetweenVectors(v2-v1, v3-v1),
degreesBetweenVectors(v1-v2, v3-v2),
degreesBetweenVectors(v1-v3, v2-v3)};
for (int i = 0; i < 3; ++i) {
if (sourceTriangle[i] >= vertices.size()) {
qDebug() << "Invalid vertex index" << sourceTriangle[i] << "vertices size" << vertices.size();
continue;
}
triangleVertexNormalsMapByIndices[sourceTriangle[i]].push_back({triangleIndex, angleAreaWeightedNormals.size()});
angleAreaWeightedNormals.push_back(triangleNormals[triangleIndex] * area * angles[i]);
}
}
triangleVertexNormals = angleAreaWeightedNormals;
std::map<std::pair<size_t, size_t>, float> degreesBetweenFacesMap;
for (size_t vertexIndex = 0; vertexIndex < vertices.size(); ++vertexIndex) {
const auto &triangleVertices = triangleVertexNormalsMapByIndices[vertexIndex];
for (const auto &triangleVertex: triangleVertices) {
for (const auto &otherTriangleVertex: triangleVertices) {
if (triangleVertex.first == otherTriangleVertex.first)
continue;
float degrees = 0;
auto findDegreesResult = degreesBetweenFacesMap.find({triangleVertex.first, otherTriangleVertex.first});
if (findDegreesResult == degreesBetweenFacesMap.end()) {
degrees = degreesBetweenVectors(triangleNormals[triangleVertex.first], triangleNormals[otherTriangleVertex.first]);
degreesBetweenFacesMap.insert({{triangleVertex.first, otherTriangleVertex.first}, degrees});
degreesBetweenFacesMap.insert({{otherTriangleVertex.first, triangleVertex.first}, degrees});
} else {
degrees = findDegreesResult->second;
}
if (degrees > thresholdAngleDegrees) {
continue;
}
triangleVertexNormals[triangleVertex.second] += angleAreaWeightedNormals[otherTriangleVertex.second];
}
}
}
for (auto &item: triangleVertexNormals)
item.normalize();
}
void recoverQuads(const std::vector<QVector3D> &vertices, const std::vector<std::vector<size_t>> &triangles, const std::set<std::pair<PositionKey, PositionKey>> &sharedQuadEdges, std::vector<std::vector<size_t>> &triangleAndQuads)
{
std::vector<PositionKey> verticesPositionKeys;
for (const auto &position: vertices) {
verticesPositionKeys.push_back(PositionKey(position));
}
std::map<std::pair<size_t, size_t>, std::pair<size_t, size_t>> triangleEdgeMap;
for (size_t i = 0; i < triangles.size(); i++) {
const auto &faceIndices = triangles[i];
if (faceIndices.size() == 3) {
triangleEdgeMap[std::make_pair(faceIndices[0], faceIndices[1])] = std::make_pair(i, faceIndices[2]);
triangleEdgeMap[std::make_pair(faceIndices[1], faceIndices[2])] = std::make_pair(i, faceIndices[0]);
triangleEdgeMap[std::make_pair(faceIndices[2], faceIndices[0])] = std::make_pair(i, faceIndices[1]);
}
}
std::unordered_set<size_t> unionedFaces;
std::vector<std::vector<size_t>> newUnionedFaceIndices;
for (const auto &edge: triangleEdgeMap) {
if (unionedFaces.find(edge.second.first) != unionedFaces.end())
continue;
auto pair = std::make_pair(verticesPositionKeys[edge.first.first], verticesPositionKeys[edge.first.second]);
if (sharedQuadEdges.find(pair) != sharedQuadEdges.end()) {
auto oppositeEdge = triangleEdgeMap.find(std::make_pair(edge.first.second, edge.first.first));
if (oppositeEdge == triangleEdgeMap.end()) {
qDebug() << "Find opposite edge failed";
} else {
if (unionedFaces.find(oppositeEdge->second.first) == unionedFaces.end()) {
unionedFaces.insert(edge.second.first);
unionedFaces.insert(oppositeEdge->second.first);
std::vector<size_t> indices;
indices.push_back(edge.second.second);
indices.push_back(edge.first.first);
indices.push_back(oppositeEdge->second.second);
indices.push_back(edge.first.second);
triangleAndQuads.push_back(indices);
}
}
}
}
for (size_t i = 0; i < triangles.size(); i++) {
if (unionedFaces.find(i) == unionedFaces.end()) {
triangleAndQuads.push_back(triangles[i]);
}
}
}
size_t weldSeam(const std::vector<QVector3D> &sourceVertices, const std::vector<std::vector<size_t>> &sourceTriangles,
float allowedSmallestDistance, const std::set<PositionKey> &excludePositions,
std::vector<QVector3D> &destVertices, std::vector<std::vector<size_t>> &destTriangles)
{
std::unordered_set<int> excludeVertices;
for (size_t i = 0; i < sourceVertices.size(); ++i) {
if (excludePositions.find(sourceVertices[i]) != excludePositions.end())
excludeVertices.insert(i);
}
float squareOfAllowedSmallestDistance = allowedSmallestDistance * allowedSmallestDistance;
std::map<int, int> weldVertexToMap;
std::unordered_set<int> weldTargetVertices;
std::unordered_set<int> processedFaces;
std::map<std::pair<int, int>, std::pair<int, int>> triangleEdgeMap;
std::unordered_map<int, int> vertexAdjFaceCountMap;
for (int i = 0; i < (int)sourceTriangles.size(); i++) {
const auto &faceIndices = sourceTriangles[i];
if (faceIndices.size() == 3) {
vertexAdjFaceCountMap[faceIndices[0]]++;
vertexAdjFaceCountMap[faceIndices[1]]++;
vertexAdjFaceCountMap[faceIndices[2]]++;
triangleEdgeMap[std::make_pair(faceIndices[0], faceIndices[1])] = std::make_pair(i, faceIndices[2]);
triangleEdgeMap[std::make_pair(faceIndices[1], faceIndices[2])] = std::make_pair(i, faceIndices[0]);
triangleEdgeMap[std::make_pair(faceIndices[2], faceIndices[0])] = std::make_pair(i, faceIndices[1]);
}
}
for (int i = 0; i < (int)sourceTriangles.size(); i++) {
if (processedFaces.find(i) != processedFaces.end())
continue;
const auto &faceIndices = sourceTriangles[i];
if (faceIndices.size() == 3) {
bool indicesSeamCheck[3] = {
excludeVertices.find(faceIndices[0]) == excludeVertices.end(),
excludeVertices.find(faceIndices[1]) == excludeVertices.end(),
excludeVertices.find(faceIndices[2]) == excludeVertices.end()
};
for (int j = 0; j < 3; j++) {
int next = (j + 1) % 3;
int nextNext = (j + 2) % 3;
if (indicesSeamCheck[j] && indicesSeamCheck[next]) {
std::pair<int, int> edge = std::make_pair(faceIndices[j], faceIndices[next]);
int thirdVertexIndex = faceIndices[nextNext];
if ((sourceVertices[edge.first] - sourceVertices[edge.second]).lengthSquared() < squareOfAllowedSmallestDistance) {
auto oppositeEdge = std::make_pair(edge.second, edge.first);
auto findOppositeFace = triangleEdgeMap.find(oppositeEdge);
if (findOppositeFace == triangleEdgeMap.end()) {
qDebug() << "Find opposite edge failed";
continue;
}
int oppositeFaceIndex = findOppositeFace->second.first;
if (((sourceVertices[edge.first] - sourceVertices[thirdVertexIndex]).lengthSquared() <
(sourceVertices[edge.second] - sourceVertices[thirdVertexIndex]).lengthSquared()) &&
vertexAdjFaceCountMap[edge.second] <= 4 &&
weldVertexToMap.find(edge.second) == weldVertexToMap.end()) {
weldVertexToMap[edge.second] = edge.first;
weldTargetVertices.insert(edge.first);
processedFaces.insert(i);
processedFaces.insert(oppositeFaceIndex);
break;
} else if (vertexAdjFaceCountMap[edge.first] <= 4 &&
weldVertexToMap.find(edge.first) == weldVertexToMap.end()) {
weldVertexToMap[edge.first] = edge.second;
weldTargetVertices.insert(edge.second);
processedFaces.insert(i);
processedFaces.insert(oppositeFaceIndex);
break;
}
}
}
}
}
}
int weldedCount = 0;
int faceCountAfterWeld = 0;
std::map<int, int> oldToNewVerticesMap;
for (int i = 0; i < (int)sourceTriangles.size(); i++) {
const auto &faceIndices = sourceTriangles[i];
std::vector<int> mappedFaceIndices;
bool errored = false;
for (const auto &index: faceIndices) {
int finalIndex = index;
int mapTimes = 0;
while (mapTimes < 500) {
auto findMapResult = weldVertexToMap.find(finalIndex);
if (findMapResult == weldVertexToMap.end())
break;
finalIndex = findMapResult->second;
mapTimes++;
}
if (mapTimes >= 500) {
qDebug() << "Map too much times";
errored = true;
break;
}
mappedFaceIndices.push_back(finalIndex);
}
if (errored || mappedFaceIndices.size() < 3)
continue;
bool welded = false;
for (decltype(mappedFaceIndices.size()) j = 0; j < mappedFaceIndices.size(); j++) {
int next = (j + 1) % 3;
if (mappedFaceIndices[j] == mappedFaceIndices[next]) {
welded = true;
break;
}
}
if (welded) {
weldedCount++;
continue;
}
faceCountAfterWeld++;
std::vector<size_t> newFace;
for (const auto &index: mappedFaceIndices) {
auto findMap = oldToNewVerticesMap.find(index);
if (findMap == oldToNewVerticesMap.end()) {
size_t newIndex = destVertices.size();
newFace.push_back(newIndex);
destVertices.push_back(sourceVertices[index]);
oldToNewVerticesMap.insert({index, newIndex});
} else {
newFace.push_back(findMap->second);
}
}
destTriangles.push_back(newFace);
}
return weldedCount;
}
bool isManifold(const std::vector<std::vector<size_t>> &faces)
{
std::set<std::pair<size_t, size_t>> halfEdges;
for (const auto &face: faces) {
for (size_t i = 0; i < face.size(); ++i) {
size_t j = (i + 1) % face.size();
auto insertResult = halfEdges.insert({face[i], face[j]});
if (!insertResult.second)
return false;
}
}
for (const auto &it: halfEdges) {
if (halfEdges.find({it.second, it.first}) == halfEdges.end())
return false;
}
return true;
}
void trim(std::vector<QVector3D> *vertices, bool normalize)
{
float xLow = std::numeric_limits<float>::max();
float xHigh = std::numeric_limits<float>::lowest();
float yLow = std::numeric_limits<float>::max();
float yHigh = std::numeric_limits<float>::lowest();
float zLow = std::numeric_limits<float>::max();
float zHigh = std::numeric_limits<float>::lowest();
for (const auto &position: *vertices) {
if (position.x() < xLow)
xLow = position.x();
else if (position.x() > xHigh)
xHigh = position.x();
if (position.y() < yLow)
yLow = position.y();
else if (position.y() > yHigh)
yHigh = position.y();
if (position.z() < zLow)
zLow = position.z();
else if (position.z() > zHigh)
zHigh = position.z();
}
float xMiddle = (xHigh + xLow) * 0.5;
float yMiddle = (yHigh + yLow) * 0.5;
float zMiddle = (zHigh + zLow) * 0.5;
if (normalize) {
float xSize = xHigh - xLow;
float ySize = yHigh - yLow;
float zSize = zHigh - zLow;
float longSize = ySize;
if (xSize > longSize)
longSize = xSize;
if (zSize > longSize)
longSize = zSize;
if (qFuzzyIsNull(longSize))
longSize = 0.000001;
for (auto &position: *vertices) {
position.setX((position.x() - xMiddle) / longSize);
position.setY((position.y() - yMiddle) / longSize);
position.setZ((position.z() - zMiddle) / longSize);
}
} else {
for (auto &position: *vertices) {
position.setX((position.x() - xMiddle));
position.setY((position.y() - yMiddle));
position.setZ((position.z() - zMiddle));
}
}
}
void chamferFace2D(std::vector<QVector2D> *face)
{
auto oldFace = *face;
face->clear();
for (size_t i = 0; i < oldFace.size(); ++i) {
size_t j = (i + 1) % oldFace.size();
face->push_back(oldFace[i] * 0.8 + oldFace[j] * 0.2);
face->push_back(oldFace[i] * 0.2 + oldFace[j] * 0.8);
}
}
void subdivideFace2D(std::vector<QVector2D> *face)
{
auto oldFace = *face;
face->resize(oldFace.size() * 2);
for (size_t i = 0, n = 0; i < oldFace.size(); ++i) {
size_t h = (i + oldFace.size() - 1) % oldFace.size();
size_t j = (i + 1) % oldFace.size();
(*face)[n++] = oldFace[h] * 0.125 + oldFace[i] * 0.75 + oldFace[j] * 0.125;
(*face)[n++] = (oldFace[i] + oldFace[j]) * 0.5;
}
}