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function project_on_triangle

This commit is contained in:
Zeno Rogue 2020-06-03 16:42:35 +02:00
parent b04061f8a8
commit 449966903e
1 changed files with 17 additions and 0 deletions
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17
hyperpoint.cpp
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@ -1295,6 +1295,23 @@ EX unsigned bucketer(hyperpoint h) {
return dx;
}
/** @brief project the origin to the triangle [h1,h2,h3] */
EX hyperpoint project_on_triangle(hyperpoint h1, hyperpoint h2, hyperpoint h3) {
h1 /= h1[3];
h2 /= h2[3];
h3 /= h3[3];
transmatrix T;
T[0] = h1; T[1] = h2; T[2] = h3;
T[3] = C0;
ld det_orig = det(T);
hyperpoint orthogonal = (h2 - h1) ^ (h3 - h1);
T[0] = orthogonal; T[1] = h2-h1; T[2] = h3-h1;
ld det_orth = det(T);
hyperpoint result = orthogonal * (det_orig / det_orth);
result[3] = 1;
return normalize(result);
}
EX hyperpoint lerp(hyperpoint a0, hyperpoint a1, ld x) {
return a0 + (a1-a0) * x;
}