Use banded solver for implicit flex integration.
The flex interpolation stiffness matrix within the implicit/implicitfast solvers is now built and factorized in a banded format instead of a dense one. This involves: - Calculating the bandwidth based on the sparsity of the mass/damping matrix and the connectivity within flex cells. - Allocating and populating a banded matrix `H`. - Using `mju_cholFactorBand` and `mju_cholSolveBand` for factorization and solving. This change improves performance for flexes with many DOFs but local coupling. PiperOrigin-RevId: 901297952 Change-Id: I3efe06353d1903ea65ab30dc49685cede228bb68
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Copybara-Service
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@@ -978,6 +978,7 @@ struct mjModel_ {
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int* flex_matid; // material id for rendering (nflex x 1)
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int* flex_group; // group for visibility (nflex x 1)
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int* flex_interp; // interpolation (0: vertex, 1: nodes) (nflex x 1)
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int* flex_bandwidth; // precomputed solver bandwidth (nflex x 1)
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int* flex_cellnum; // finite cell num per dimension (nflex x 3)
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int* flex_nodeadr; // first node address (nflex x 1)
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int* flex_nodenum; // number of nodes (nflex x 1)
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@@ -454,6 +454,7 @@
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X ( int, flex_matid, nflex, 1 ) \
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X ( int, flex_group, nflex, 1 ) \
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X ( int, flex_interp, nflex, 1 ) \
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X ( int, flex_bandwidth, nflex, 1 ) \
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X ( int, flex_cellnum, nflex, 3 ) \
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X ( int, flex_nodeadr, nflex, 1 ) \
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X ( int, flex_nodenum, nflex, 1 ) \
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