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/* | |
The MIT License (MIT) | |
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: |
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/* | |
This software is released under the MIT license: | |
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. |
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/* | |
This software is released under the MIT license: | |
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: |
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/* | |
The MIT License (MIT) | |
Copyright (c) 2017 Eric Arnebäck | |
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 |
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/* | |
The MIT License (MIT) | |
Copyright (c) 2017 Eric Arnebäck | |
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 |
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/* | |
The MIT License (MIT) | |
Copyright (c) 2017 Eric Arnebäck | |
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 |
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#version 430 | |
#define GLUINT_MAX 4294967295 | |
#define NULL_NODE (GLUINT_MAX - 0) | |
#define SUBDIVIDE_NODE (GLUINT_MAX - 1) | |
#define LEAF_NODE (GLUINT_MAX - 2) | |
// node in the octree. | |
struct OctNode { |
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// empty fragment shader. | |
void main() | |
{ | |
} |
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############################################################ | |
How to solve a matrix equation with Cholesky Decomposition | |
############################################################ | |
We want to solve the matrix equation Ax=b. So we want x. The Cholesky decomposition of A is just | |
the matrix product A = L(L^T). Where L is some lower triangular matrix, and L^T is its transpose. | |
So L^T is upper triangular. See wikipedia an example of such a decomposition: | |
https://en.wikipedia.org/wiki/Cholesky_decomposition#Example | |
If we now substitute our decomposition of A into our equation we get |
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/* | |
The MIT License (MIT) | |
Copyright (c) 2016 Eric Arnebäck | |
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 |